diff --git "a/data/dm_maths/full_data_1/1644_11255.jsonl" "b/data/dm_maths/full_data_1/1644_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/1644_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Is 0 < 100\/999?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 8, o: 5}. What is prob of sequence joo?\nAnswer: 40\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v = -17*v. What is the second smallest value in v, 4, -3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 109513325881116 and -4?\nAnswer: 109513325881120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hmmehnnmhmn. Give prob of picking 2 h.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 10581336 divided by 3\nAnswer: 3527112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -25, 3, -8126, 0 in increasing order.\nAnswer: -8126, -25, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.283130668 rounded to 2 dps?\nAnswer: -0.28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 1 y when three letters picked without replacement from {q: 1, c: 1, k: 7, y: 4}?\nAnswer: 42\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/((-288)\/(-297))*94\/(-423).\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 8, v: 2, m: 2}. Give prob of picking 1 v and 2 s.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 624, 646, 686, 750, 844, 974?\n\"Answer: s**3 + 3*s**2 + 6*s + 614","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 96*n. Let p(q) = -13*q**2 - 26*q**2 + 30*q**2 + 2*q - 2*q. Give a(p(s)).\nAnswer: -864*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 1582 + 331 - 375 + 3*z**3 - 2*z**3 - 5*z - 3*z**3 as d*z**3 + f + l*z**2 + s*z and give s.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 416713.\nAnswer: 11, 43, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:21 AM and 6:58 PM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7119 - -7073.47. Let i = l + 46. Let x = i - 0.4699981. Round x to 6 decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 15 - n**3 - 15*n**2 + 0 - n + 10 - 10 - n. Calculate the least common multiple of x(-15) and 10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2.5? (a) -0.08 (b) 1 (c) 0.7 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 138*p = -17 - 397 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.1539 - 1.2539. Which is the biggest value? (a) 1\/42 (b) z (c) 2\/3 (d) 0.1 (e) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 69*u**3 + 7*u**2 + 4*u - 11. Let i(x) = 34*x**3 + 3*x**2 + 2*x - 5. Let t(k) = 4*b(k) - 9*i(k). Let w be t(1). Which is bigger: -28 or w?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16633 + -15903. Calculate the greatest common factor of x and 170.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18227 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 2*i**3 - 7*i**2 + 2*i + 17. Calculate n(-3).\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.77 - -0.97. Let f = 2 + -2. Let m = 0.1 - f. What is the closest to m in b, -3\/10, 3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**2\/4 + 201*l\/4 - 621\/2.\nAnswer: (l - 6)*(l + 207)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3\/4, -135, -57?\nAnswer: -57","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -x - 16. Suppose 2*u = 5*j - 0*u - 74, -x*u - 78 = -5*j. What is the smallest common multiple of j and 26?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**3 - 5*z**2 + 3*z - 6. Is k(6) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 2*k - 13 = c, -5*k = -5*c + 45. Let d = 9 + -5. Factor -c + 1 + d*y**2 - 339*y + 339*y.\nAnswer: 4*(y - 1)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -7*n + 4. Let r be d(-2). Suppose 10 = -2*b + r. What is the remainder when 29 is divided by (-3)\/b*(-26 - -6)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16536 divided by -5512.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*z = 2*z + 5888. Calculate the highest common factor of z and 92.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3629025800?\nAnswer: 2, 5, 2683, 6763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cjwlkloj. Give prob of sequence kjj.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f + 0*f - f)*(5 + 2 + 1 + (-1 + 0 + 0)*(2 - 1 - 3)).\nAnswer: -10*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 27 + -31. Let g = 73\/95 + -7\/19. What is the second smallest value in 0, t, g, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d - 7*r = -376 + 389, 3*d + 5*r = 20 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 9*r - 22. Let z be t(2). Is 36 a factor of 12*(23 - (13 + 3)\/z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1295 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 274 - 263. Let y(u) = u**3 - 12*u**2 + 12*u - 4. Give y(q).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 4*x**2 + 5*x + 4. Let t be n(-2). Suppose -3*j + 8*j = t. Suppose 0 = -4*h - 4*r + 900, 3*r + 0*r - 452 = -j*h. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 17 + 10 - 27 - 213*l - 592*l as p*l + w and give p.\nAnswer: -805","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -172 + 1064. Is z a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b1 (base 15) to base 11.\nAnswer: -141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 37829\/302472 + -5\/75618. Factor 0 + 0*b + g*b**2.\nAnswer: b**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 74*w**2 - 5*w + 22. Let f(l) = 76*l**2 - 4*l + 22. Let r(h) = -3*f(h) + 2*k(h). What is the second derivative of r(x) wrt x?\nAnswer: -160","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 22681845 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8719?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**3 - 3*i**2 + 4*i - 7. Let o be m(3). Let c = 7 - 7.1. Let y = -474 + 471. Sort y, o, c.\nAnswer: y, c, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, o: 2, r: 1, s: 1, d: 1, a: 1}. What is prob of sequence sod?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) -59 (c) 41\/5 (d) 3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**3 + 4*h**2 + 3*h + 20. Calculate the remainder when 74 is divided by n(3).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5574191 - 2?\nAnswer: -5574193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11 - 13) + 48\/21?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 - 1.5. Let x be (-7)\/35*-1*1. Which is the nearest to 0.1? (a) 5 (b) x (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -602 + 605. Suppose 4*v + 2*z - 142 = 0, 11*v - j*z - 255 = 4*v. Calculate the highest common factor of 243 and v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4754 + -4c5?\nAnswer: -4c19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-4)*374\/(-17)*-2)\/(23\/(-138))?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 3 = -5. Suppose -9*c + 24 = -c. Solve 0 = 5*k + 4*s - c*s + 10, k = -l*s - 11 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -2*g + 4. Let f be q(4). Let h(v) = -16*v. Let y(c) = 4*c + 19. Let l(u) = 19*u + 114. Let d(m) = l(m) - 6*y(m). Determine f*h(o) + 11*d(o).\nAnswer: 9*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 3 + 9*t**4 + 86*t**3 + 2*t**2 - 110*t**3 + 28*t**3 to the form b*t**3 + x*t**2 + j*t + i*t**4 + s and give i.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**2 - 5*l + 6. Let x be y(1). What is the common denominator of 4\/6 - (-103)\/(-6) and x + 20\/(-12) - (-454)\/(-84)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11337 take away 457212.1?\nAnswer: -468549.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: 1*1\/(-2)*0\/((-930)\/(-30))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/60084556 and -55\/1521128.\nAnswer: 120169112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*u + 6*u + 12*u**2 - 5*u + 5*u**2 + u**2 - 5*u**2 + (u + 1 - 1)*(4*u - 3*u + 0*u) + 1 - 1 - u**2.\nAnswer: 13*u**2 + u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the first derivative of -3\/5*y**5 + 2*y**2 + 0*y**4 + 0*y + 0*y**3 - 4. Find the second derivative of q(g) wrt g.\nAnswer: -36*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1819455925?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 619*z**2 - 1275*z**2 + 2*z**3 + 651*z**2.\nAnswer: 2*z**3 - 5*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**2\/7 + 204*k\/7 - 3468\/7.\nAnswer: -3*(k - 34)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -88, -2274, -8134, -19504, -38220?\n\"Answer: -306*b**3 - b**2 - 41*b + 260","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 2*x = 3*x - 36, 0 = -2*x + 8. What are the prime factors of (-30)\/v*(-1 - 43)?\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -158 - -238. Suppose -5*z - 10 = -n. Suppose 0 = -i + 26 - 0. Calculate the remainder when i is divided by z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = 3*t - 16, 3*v + 2*t - 1835965 = 0. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 - 0 - -2*1. Let m(q) = q**3 - 3*q - 1. Suppose -j = -3*s - 10, s + 5*j = -3*s + 12. Let z be m(s). Is z less than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -6*v - 46. What is k(18)?\nAnswer: -154","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/((-80)\/(-115)) - 3\/4. Suppose -f*s + 3*i = -407, 2*i = s - 52 - 35. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*o + 10*o + 3*u - 243, 12 = -4*u. What is the remainder when o is divided by 22?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5a - -6?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-26)\/(-13)*12\/(-16).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**3 + 73*f**2 + 172*f + 29. Is s(-21) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 546, 504, 388, 162, -210, -764, -1536?\nAnswer: -2562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 3*p**2\/4 + 585*p\/4 + 291\/2 = 0.\nAnswer: -194, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -1 + 9\/2*i - 2*i**2 = 0.\nAnswer: 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(275)*1)**2*3 - (-5 + sqrt(275) + 1 - sqrt(275)) - (-2 + (sqrt(396))**2 + sqrt(11) - (-5*sqrt(11) + sqrt(11))*-3).\nAnswer: 11*sqrt(11) + 435","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3567 - 6442 = -34*p + 513*p + 1008 for p.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - 3*i + 6 = 0, -4*s + i - 12 = -4*i for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(225) - -1*sqrt(225)) + sqrt(225) + sqrt(225) - sqrt(225))\/(sqrt(21)\/(sqrt(7)*-2)).\nAnswer: -30*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 23 + -16. Let p be (6 - (-1 - -5)) + -930 + -4. Let a = p + 988. Calculate the greatest common factor of a and i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes before 2:40 AM?\nAnswer: 6:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*(k\/k**15)\/k)\/(k*k\/(k\/(k\/(k\/(k*k*(k**(9\/2)*k)\/k*k))))))\/(k**(-1\/3)*k*k*k*k**(-1\/2)) assuming k is positive.\nAnswer: k**(-74\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.088 in -25, 2, -54\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l + 34 = 916. Let j = l + -118. What is the lowest common multiple of 2 and j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 53611 - -20114?\nAnswer: 104025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -x**2 - x**2 + 0*x**2 + (-2*x**2 - 3*x**2 + 6*x**2)*(1 - 5 + 2) - x + x - 2*x**2 - 1321*x**2 - 1767*x**2 - 208*x**2 + 2*x**2 - x**2 + 2*x**2.\nAnswer: -3299*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**2 + r. Let f(p) = -3*p**2 + 3*p + 1. What is -f(q) + 4*g(q)?\nAnswer: -q**2 + q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eaxi when four letters picked without replacement from {x: 2, a: 2, i: 6, e: 1}?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -53*t + 30. Let p(x) = -1395*x + 810. What is -55*n(w) + 2*p(w)?\nAnswer: 125*w - 30","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 7 - 4)*(427*a + 1820 - 1820).\nAnswer: -854*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-7)\/(-670)*880\/(-25). Let v = -30\/67 - j. Let d(c) = c**3 - 4*c**2 - 6*c + 5. Let l be d(5). Are l and v nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (11 - (3 + 5)) + 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -539*i**4*r**3 - 33*i**3*r**3 + 2943*i*r**3 + i*r - 6*r**3 wrt i.\nAnswer: -6468*i**2*r**3 - 198*i*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and -31.6946.\nAnswer: 9.50838","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 100 - 105. Let p = 1 + 2. What is the third smallest value in a, p, 3\/4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-28)\/(-7))\/(32\/(-104)))\/(-18*(-2)\/108)?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 944 + -8494\/9. What is the closest to 2\/5 in 5, -1\/10, 1\/3, a?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(51)\/sqrt(3) + -5)*-5 + 4 - (sqrt(85) - (sqrt(85) + sqrt(85)*1 - sqrt(85))*-6)\/((sqrt(120)\/sqrt(3))\/sqrt(8) + sqrt(5))*4)**2.\nAnswer: -13552*sqrt(17) + 56628","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*h**3 + 32*h**3 - h + 13*h**3 - h.\nAnswer: 71*h**3 - 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -637 - 2?\nAnswer: -639","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16551802.\nAnswer: 2, 37, 47, 4759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 4*r**2 + 21*r - 48*r + 27*r. Let f(m) = 2*m**2. What is f(g(t))?\nAnswer: 32*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 14287306 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 4*z**2 + 0 + (2*z - 2*z + 2*z**2)*(5 - 1 - 3))*(-7*z + z - 16*z) to the form d*z**3 + h*z + b + g*z**2 and give d.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.07 times 103?\nAnswer: 7.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 + 23 = -5*q. What is the second biggest value in 0.032, 2\/13, q, -0.2?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -9*k + 1. Let h be l(-1). Let c(x) = 13 - x**2 - 4 + 2 + h. Calculate the remainder when c(0) is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 1 a when three letters picked without replacement from {k: 3, a: 2, x: 2, q: 3, h: 5}.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**2 + 7*f + 9. Let x be a(-6). Suppose -6*m + x*m = -132. Calculate the remainder when m is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 46 + 198 = 0. Suppose q - m = -128. Let a be (q\/(1 - 4))\/2. What is the greatest common factor of a and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m**3 + 206340*m**2 - 619029*m = 0. Calculate m.\nAnswer: -206343, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 + -2)*2\/(-9). Let m = 33 + -14. Let a = -19.3 + m. What is the second smallest value in a, s, -0.4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 321 - 301. Calculate the remainder when 338 is divided by k.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3519 = -5*r - 3284. Solve r*j - 41*j + 30 = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**3 + 31*d**2 - 34*d - 464. Calculate q(-32).\nAnswer: -400","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 353880 or 353878?\nAnswer: 353878","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2926, -2914, -2886, -2836, -2758, -2646, -2494?\n\"Answer: z**3 + 2*z**2 - z - 2928","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 97936, 0.3, 3, 5, 2\/43?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 175 - 178. Let s be (-10)\/(x + -2) - (-14)\/(-8). Let v = 0 + 1. What is the second biggest value in s, -1, v?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1749900*z**3 - 1750293*z**3 + 3500198*z**3.\nAnswer: 5*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 763.004 decades to centuries.\nAnswer: 76.3004","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*b**3*m*u**3 - 769*b**3*m*u + 295*b**3*u + 102*b**2*m*u**2 - 159*b*u**3 + m*u**2 + 11*u wrt b?\nAnswer: 12*m*u**3 - 4614*m*u + 1770*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 286379*a**3 - 652643.\nAnswer: 859137*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 102250.\nAnswer: 2, 5, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.2 (b) -3.1 (c) 0.3 (d) -0.00883\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11444, -22777, -34150, -45563, -57016, -68509, -80042?\nAnswer: -91615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 114*h**3 + 5*h - 7 + 2*h**2 - 221*h**3 - 2*h**2 + 108*h**3 as p*h + q*h**3 + b*h**2 + t and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f + 27 - 75. Let t = 13 + f. Let j = 883\/42 + -121\/6. Do t and j have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qeqmemqeeneg. What is prob of sequence qqg?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 20*t**3 - 2*t**2 + 15*t - 14. What is z(1)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*1*sqrt(17) + 3 + (sqrt(68)\/sqrt(4))**2.\nAnswer: -4*sqrt(17) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 74*o - 5 - 67*o + 5.\nAnswer: 7*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1 (b) 6 (c) 5 (d) 0.09 (e) 2\/11 (f) -2\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 152 divide 937245716?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 1891 = -5*m, -10*m + 7*m + s = -1134. What is the tens digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes after 4:21 AM?\nAnswer: 1:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 5 = v, 4*q - 14 = -5*v + 11. Which is smaller: q or -1\/96?\nAnswer: -1\/96","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-4)\/(-2))\/((-84)\/(-14)))\/((-11)\/(-3))?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 5*l**3 - l**2 - 3*l + 11. Let a(h) = -h**3 - h**2 - h - 2. Let o be a(-2). Suppose -21 = -o*w - 3*g, 0 = -w - w - 2*g + 12. Does 8 divide s(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5\/45*-2)\/((-55)\/((-263340)\/(-56)))\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9340819 is divided by 2795?\nAnswer: 2724","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4110, 7\/9, 4\/383?\nAnswer: 4110","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**3 + 6*v**2 - 6*v + 3. Let x(d) = 60*d**2 - 3*d + 1. Let t be x(1). Suppose -t*w = -63*w - 35. Give j(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 27*l**2 - 51*l**2 + 224*l - 7*l**2 + 2*l + 18*l**2 to the form u + j*l**2 + a*l and give j.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11 - -15. Let l = 10 - w. Is l a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-29)\/174 - (3525\/18 - 2). Let a = d - -271. Let n(f) = -f**3 - 7*f**2 - 9*f - 7. Let z be n(-6). What is the greatest common divisor of a and z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 459 - 456. Let l be (-2)\/3 + 11\/g. Solve l*f = -0*v - 2*v + 10, -4*f + 14 = 2*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the first derivative of 106*o**3\/3 + 2178*o - 519. Differentiate p(l) wrt l.\nAnswer: 212*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 8*z**2 + 3*z - 4*z**2 + 0*z - 8*z**2 - 8. Let y(g) = -12*g**2 + 8*g - 23. Let k(f) = 8*p(f) - 3*y(f). What is the first derivative of k(c) wrt c?\nAnswer: 8*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -346, -351, -366, -397, -450, -531, -646, -801?\n\"Answer: -c**3 + c**2 - c - 345","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000001237 rounded to 6 decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the second derivative of -5*n**3\/6 - 2*n**2 - 4*n. Let d be l(-3). What is the units digit of 64\/6 + d\/33?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 3*k - 28 = -9, 5*q - 39 = -k. Suppose 2*s - q = 4. Let t(c) = -6*c**3 - 7*c**2 - 7. Let d(i) = 5*i**3 + 6*i**2 + 6. Calculate s*t(x) + 7*d(x).\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of r**4 + 92*r**3 + 73*r**2 + 25391*r - 6.\nAnswer: 12*r**2 + 552*r + 146","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o - 8*o = 4*o - 143 for o.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1530 and 1612620.\nAnswer: 1612620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -38891 divided by -26\nAnswer: 38891\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*v - 0*v - 10 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -14333 - -514?\nAnswer: -13617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 - 245 = -144*p + 4066 for p.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 82811 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2582122*s**2 - 679947*s wrt s.\nAnswer: -5164244","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-104)\/12*3\/(-2). Calculate the common denominator of p\/(-4) - 4\/(-12) and 545\/70*-2 - -6 - -6.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5805 and 315.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2613 and 27472211.\nAnswer: 871","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -45 + -9?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -20.4 * 42\nAnswer: -856.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -198, 330, 1204, 2418, 3966, 5842?\n\"Answer: -s**3 + 179*s**2 - 2*s - 374","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8754 = 23*k - 29*k. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*4*-2*sqrt(6912) + ((sqrt(6912) + sqrt(6912) + (sqrt(6912) - (-2 + sqrt(6912) + -1*sqrt(6912))))**2 - (1 + sqrt(6912))*6).\nAnswer: -2016*sqrt(3) + 62206","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-3)\/2)\/(5\/10). What is the remainder when 38 is divided by s\/(0 - (-15)\/(-40))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3845 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -f + 6 + 17, r = -4*f + 7. Sort f, -136, -3, -2.\nAnswer: -136, -3, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 + 8. Suppose -3*l - u = 6. Let k(a) = a - 10. Let z be k(8). Put -5, l, z in decreasing order.\nAnswer: z, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 223 + -1?\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15008 and 112.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 2*k**3 + 20*k**2 + 56*k + 48 = 0.\nAnswer: -6, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1744360, 3 in decreasing order.\nAnswer: 3, 0, -1744360","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -3*q**2 - 2*q + 196. Let y(w) = -13*w**2 - 8*w + 784. Calculate -9*f(v) + 2*y(v).\nAnswer: v**2 + 2*v - 196","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**2 + z + 3. Let v be m(3). Solve 3*t + v = 0, -2*y - t = 7 + 2 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q + 12 = 3*c - 3*q, -3*q + 12 = 0. Is c at most -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 divided by -6?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes after 11:24 AM?\nAnswer: 9:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 12*r**3 - 6*r**2 - 13*r + 20. What is the units digit of i(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 12*a - 268. What is g(29)?\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 2*y**3 + y**2 + 2*y + 1. Let o(a) = 2*a**3 - 4*a**2 + 5*a. Let u be o(3). Let v be (64\/(-10))\/((-2)\/10). Let d = v - u. What is r(d)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/8*672\/2688\nAnswer: -1\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6.1 + 6.4. Put -2\/9, -6, o, -1 in increasing order.\nAnswer: -6, -1, -2\/9, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 + 2*s - 4)*(4 - 2 - 3)*(s**3 - 2*s**3 + 2*s**3) + 4*s**4 - 2*s**4 + 3*s**4 as v*s + q + k*s**3 + z*s**2 + m*s**4 and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 + 13. Suppose 8 = 4*g - t*q - 8, -2*g - 4*q = -34. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-6)\/(v*v*v**(-1\/2)))\/(v*v\/v**5*((v**(1\/5)\/v)\/v)\/v))**(-7\/5) assuming v is positive.\nAnswer: v**(119\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 20757 and 604197?\nAnswer: 22355289","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -230 + 100120300?\nAnswer: 100120010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 63.37 - -1.63. Let s = y + -61. Let g = -18 + 20. Which is the closest to g? (a) 1 (b) s (c) -0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z - 3*b - 1 - 4, -2*b = -2*z - 6. Let w(g) = g**2 + 4. Let p(l) = -3. Calculate z*w(n) - 3*p(n).\nAnswer: -2*n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 4, c: 3}. What is prob of sequence yccc?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -u**3\/6 - 16237*u**2 - 790920507*u\/2 = 0. What is u?\nAnswer: -48711, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 2719 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -q + 0 + 0 + (0*q - 2*q - 2*q)*(-3 + 0 + 6) + (0*q + q + 2*q)*(2 + 0 + 1).\nAnswer: -4*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11 and 330.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 l when two letters picked without replacement from {f: 1, d: 4, z: 8, p: 2, l: 2, j: 2}?\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(6\/11))**(1\/17) assuming o is positive.\nAnswer: o**(6\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 29891126?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 5561335427 to the power of 1\/2, to the nearest integer?\nAnswer: 74574","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.076491*-0.664\nAnswer: -0.050790024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 236061?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 14279, 28570, 42861, 57152?\n\"Answer: 14291*l - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g - g - g)*(-6*g**2 + 3*g**2 + 5*g**2)*(-9*g - 21*g - 2*g).\nAnswer: 128*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 120\/(-210) + -3 + 1008\/49\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2103696, 4207380, 6311058, 8414730, 10518396?\nAnswer: 12622056","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*w + 1476 = -7*w. Suppose -1696 = -14*a - w. Is 17 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i and 1 u when four letters picked without replacement from {z: 1, i: 3, u: 1, q: 5, w: 3}.\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -550*c**3 + 22*c + 50. What is the hundreds digit of x(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s + 12. Let i be t(-11). What is the highest common divisor of i and 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 26 + v**2 + 8 - 14 to the form t*v + i + m*v**2 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 2*n**3 - 5*n**2 + 4*n. Let z be g(2). Solve -3 = z*l - 3*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1, -8, -19, -34, -53, -76?\nAnswer: -103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -p - 3. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*y = 6*y - 367 + 378 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:36 PM and 12:28 AM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 8*p**3 - 32*p**2 - 13. Let a be m(4). Let s(d) = d**2 + 13*d - 13. Calculate s(a).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1360831 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 465 is divided by 438?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((192\/(-42))\/(-8))\/1.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 33 + -15. Calculate the lowest common multiple of ((-44)\/(-6))\/((-5)\/(-15)) and d.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2519, 11926, 27603, 49544, 77743?\n\"Answer: -f**3 + 3141*f**2 - 9*f - 612","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -49\/72 - -5\/9. Let f = -1025 + -593. Let x = -4811\/3 - f. What is the common denominator of x and j?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lwululaazuu. Give prob of sequence aulz.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1545243 (base 7) to base 3.\nAnswer: -101211100210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*u**2 + 102*u**2 - 26*u**2 - 31*u**2 + 13*u - 25*u**2.\nAnswer: 2*u**2 + 13*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-24)\/(-660))\/((-2)\/10)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 11 in 2\/7, 2, -2\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 21*n**2 - 2*n. Let o(f) = -10*f**2 + f. Let v(t) = -13*o(t) - 6*z(t). Let p be v(1). Let a(c) = 5*c**2 - 3*c + 1. Is a(p) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 0 (b) -3 (c) 5 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/1476 and -55\/294802.\nAnswer: 217563876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(170) + (sqrt(170) - sqrt(170)*1) - sqrt(170))*-5 + 1*(-1*sqrt(170) + sqrt(170)))\/(sqrt(50)\/(6*sqrt(80))))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-10) - (-19)\/(380\/(-8)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 + 8.6. Let y = -0.6 - n. Is y at most -3\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:34 PM and 8:51 PM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 3*j - 17. Let u = 69 + -62. Let h be w(u). Suppose -h*v = -28 - 12. Solve 4*q = 10 + v for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1967, 1935, 1903, 1871?\nAnswer: 1839","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 218.9 - 191.9. What is the second biggest value in 0.2, -0.3, b, -1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, 0.5, -0.449, -3\/44.\nAnswer: -0.449, -2\/5, -3\/44, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4 - (2 - 4 - 0). Let q(g) = -2*g**2 + 5*g**2 + y*g**2. Let i(b) = b. Give i(q(m)).\nAnswer: 9*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 126649 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16571 is divided by 572.\nAnswer: 555","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1643830 rounded to the nearest 100000?\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/121, 0.4, -9, -1, 37, -0.3 in decreasing order.\nAnswer: 37, 0.4, -2\/121, -0.3, -1, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-4\/19)\/d**(-4)*d**(-35)\/(d*d**(2\/23)*d))**(9\/4) assuming d is positive.\nAnswer: d**(-130959\/1748)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 3*a**2 + 4*a - 5414. Calculate s(42).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**2 + 15*y - 3. Let p be c(15). Let d(k) = 9*k - 20. Let b be d(2). Does 11 divide (-22*p\/b)\/(0 + -1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -3*h**3 + h**2. Suppose 0 = 5*s, 0*s = 4*q + 2*s + 24. Let w be (-7)\/(-28) + q\/(-8). Determine m(w).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 215283 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1325440416.\nAnswer: 2, 3, 13806671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*b + 2 - 2 + 30*b to the form o*b + t and give o.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - i - 2 = 1, 0 = 3*m - 3*i. What is the greatest common factor of m and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -6*w**5 - 458*w**4 - 574*w**3 + 1938*w**2 - 900*w = 0.\nAnswer: -75, -3, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 7*u**4 - 5*u**2 + 6*u + 6. Let s(a) = 14*a**4 - 10*a**2 + 11*a + 11. Let h(t) = 11*b(t) - 6*s(t). What is the third derivative of h(r) wrt r?\nAnswer: -168*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -15 (b) -33 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 3, h: 3, e: 3, t: 2, j: 2}. Give prob of sequence ete.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*f**3*n - 2*f**3 + 243*f**2*n + 591*f**2 wrt n.\nAnswer: 3*f**3 + 243*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 36 - -14d?\nAnswer: 185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2033 and 1391?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*n**5 + 65*n**3 - 60*n**2 = 0. Calculate n.\nAnswer: -4, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -95124*o**2 + 95124*o**2 + 4*o**3.\nAnswer: 4*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9 - 6. Suppose -f*o = 4 - 79. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-30)\/(-100)*-142*51\/68*20\/(-9)?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a**5 - 3207*a**4 - 3408*a**3 + 212532*a**2 - 719520*a + 513600 = 0.\nAnswer: -10, 1, 4, 1070","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 12*o**2 - 12*o + 12. Let j(g) = -g**2 - g + 1. Give -12*j(d) + v(d).\nAnswer: 24*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 106520986.\nAnswer: 2, 11, 13, 372451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in two fifteenths of a millennium?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.85 - -1.95. What is the closest to m in -1\/7, -11\/4, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1817924523 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35869.\nAnswer: 35869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + 0*x + 3*q - 3 = 0, 1 = -x - 3*q for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = h - 21*h + 2*h - 180 for h.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -5*o**3 + 125*o**2 + 130*o = 0.\nAnswer: -1, 0, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3304 and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -133 + 148 - ((-6 - -2) + -2)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*c - 7 = 15 - 29 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1166 and 176.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m + 14. Let n be (-3)\/(-15) - (-88)\/10. Is l(n) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**2*y)\/((y\/(y\/((y**(1\/3)*y*y)\/y)*y))\/y))\/(y\/(y**0\/y)*y*(y**(-1)*y)\/y)*((y**(-2\/5))**(-1\/30))**41 assuming y is positive.\nAnswer: y**(166\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 10 = -4*i. Let d be (-6)\/(-3) - -2 - i. List the prime factors of (8\/6)\/(d\/6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-1\/3)\/(u\/u**(-3\/7)))\/((u**7*u)\/((u*u**(-8)*u*u)\/u)))**4 assuming u is positive.\nAnswer: u**(-1324\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 3168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the first derivative of -13 - 14*n + 4\/3*n**3 + 4*n**2. Let z(p) be the first derivative of g(p). Differentiate z(y) with respect to y.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**2 - 6*c + 99. Let d(t) = -4*t**2 + 22*t - 393. Determine -22*a(u) - 6*d(u).\nAnswer: 2*u**2 + 180","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 11*b**2 - 9*b + 2. Let p be l(6). Suppose 4217 = 5*r - 4*s, 2*r + 4*s - 1667 = -s. Suppose -r = -v - p. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 287 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 31989 and 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -2*g. Let m(u) = -1414308*u. Calculate d(m(w)).\nAnswer: 2828616*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 285 - 1209 = -6*q. List the prime factors of q.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j - 2*j + 4*j + (3 + 2*j - 3)*(-3 + 4 + 0))*(-2699*j + 2699*j - 60*j**2).\nAnswer: -180*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -27*h**3 - h**2 - 3. Let w(k) = -82*k**3 - 2*k**2 - 8. What is -8*a(v) + 3*w(v)?\nAnswer: -30*v**3 + 2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 a factor of 192600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-48*(-105)\/60)\/((-10)\/5).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-1)\/2*1)\/(2\/(-188)). Let b = 50 - f. Solve 0 = 4*c + 4, -5*c + b = -4*r - 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/46 - (-1 + 110\/115)*-1129\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*s**3\/7 + 7353*s**2\/7 - 219965*s\/7.\nAnswer: s*(s - 29)*(8*s + 7585)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -4 + 11*j**2 - 3 - 9*j + 3*j**2 + 12*j. What is the tens digit of l(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -66823492 by 16705873.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 2 z when three letters picked without replacement from {g: 7, z: 5}.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*a**3 - 3*a**3 - 4*a**3)*(0 + 1 - 2) + 2*a**3 + 3*a**3 - 2*a**3)*(1 - 2 + 0)*(2 + 1 - 4 + (-5 - 2 + 5)*(-1 + 6 - 3))*(8 - 6 + 25).\nAnswer: 1080*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 20736 = 3*a, 27648 = -4*a + f - 4*f. Calculate the common denominator of 5\/144 and ((-10332)\/a - 2\/(-6)) + -3.\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:52 PM and 6:58 PM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11348*x**3 + 11354*x**3 - 22665*x**3.\nAnswer: 37*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 4918 divide 281265338?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (44\/(-10))\/((-52)\/20 + (6 - 3)). Is -51\/5 not equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 989*r = 139*r - 24257 - 2093 for r.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4 (b) 2\/5 (c) 2\/19 (d) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 43, 95, 155, 217, 275, 323?\n\"Answer: -o**3 + 10*o**2 + 29*o + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.13 (b) -28\/3 (c) -3.22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 4\/3 of a minute?\nAnswer: 80000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -2262, -4522, -6782, -9042, -11302?\n\"Answer: -2260*k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f\/f**4)**(-16)\/((f*f**(-1\/2))\/f**(-11)) assuming f is positive.\nAnswer: f**(41\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uwnankwk. Give prob of picking 1 u and 1 a.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26471\/(-515) + 41 - -9.\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 806978 is divided by 514?\nAnswer: 512","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13 + 16. Let q = -0.9 + -0.1. Let k be (0 - 2) + (3 - 2). Which is the closest to k? (a) q (b) 0.3 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**17\/i*i**11 assuming i is positive.\nAnswer: i**27","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 16\/12 + (-14)\/(-3). Let d be j - (3 + -12)\/(-3). Suppose s = l + 41, d*s + 6*l - 3*l = 135. Calculate the remainder when s is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -86 - -87.57. Let r = -1.17 + x. Which is the third smallest value? (a) 2\/7 (b) r (c) 0 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d + 7. Let m be j(5). Let o = 20 - m. What is the lowest common multiple of 10 and o?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**3 - 4*d**2 + 4*d + 1. Let v be 7\/28 - (-42)\/(-8). List the prime factors of l(v).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1825.84 - -1826.83957. Let z = r - 1. Round z to 4 decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2150 (b) -0.16 (c) -5\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -30798296 to the nearest 100000.\nAnswer: -30800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 2*g - 3. Let s be j(3). Suppose -s*t + 169 + 23 = 0. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/30*(-79 + 83). Let 12\/5*f**4 + 12\/5 + 8\/5*f**3 - v*f**5 - 24\/5*f**2 - 4\/5*f = 0. Calculate f.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1223023\/1025550 + -16\/20511. What is the common denominator of c and -53\/245?\nAnswer: 7350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 + -3.8. Let y = 0.14 - w. Let k = y + 0.36. Sort 2, -0.2, k in decreasing order.\nAnswer: 2, k, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 20*s**2. Let t(x) = -177*x**2 - 231. Let r(m) = -11*m**2 - 14. Let h(w) = -99*r(w) + 6*t(w). What is h(l(v))?\nAnswer: 10800*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**3 - 36*f**2 - 65*f + 544. Determine g(-33).\nAnswer: -578","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -21*m + 72 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 36 and 888?\nAnswer: 2664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + 5*(4 + sqrt(567) + 1) + 2)*-6)**2 + -5.\nAnswer: 93960*sqrt(7) + 540571","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/(30\/9))\/(105\/(-140)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -111511544*f*m**2 - f*m - 165426*f + 19*m - 4 wrt m?\nAnswer: -223023088*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 + 0 - (22 + -19). Suppose -5*q - 2 = -3*q. Let d be -3 + (-145994)\/(o\/q). What is d rounded to the nearest ten thousand?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 1448*b**2 + 506812*b + 4207. Give c(-350).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 432 is divided by 110.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 2*c. Let t(k) = 2*k. Let w(a) = 0*a + 3*a - 5*a. Let g be 1\/5 + 48\/10. Let d(r) = g*w(r) + 4*t(r). Give f(d(v)).\nAnswer: -4*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -199*n*z + 79*n + 6 wrt z.\nAnswer: -199*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.827692 less than -7.8?\nAnswer: -5.972308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 10*c**2 - 127*c - 36. Let n be f(13). Let l be 7\/3 - 2\/6. Factor n - 3 + 289*q**l - 4*q**3 - 337*q**2.\nAnswer: -4*q**2*(q + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(54) + (sqrt(54) - (sqrt(54)*4 + sqrt(54) - sqrt(54) - sqrt(54))))\/sqrt(3))\/(2*2*sqrt(9) + sqrt(9)) - (2 + (sqrt(98))**2 - (-2 + sqrt(288)))*-5.\nAnswer: -301*sqrt(2)\/5 + 510","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 741011 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c = -6*d - 30 - 24, 4*d - 14 + 2 = -c - c for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -41 + 10086*l + 473*l + 41 to d*l + z and give d.\nAnswer: 10559","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert b8a54 (base 14) to base 3.\nAnswer: 211200120100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 23.2 - 23.4. What is the second biggest value in -3\/11, 5, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5125 and 1517?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 z when two letters picked without replacement from {e: 4, z: 1, k: 2, d: 3, c: 1}.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 81? (a) -0.15 (b) -3 (c) 0 (d) -1\/5 (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 12\/(-27)*(-180)\/40. Solve 26\/3*p**a - 8\/3 + 8\/3*p + 10\/3*p**3 = 0.\nAnswer: -2, -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11101000101010 - 1?\nAnswer: -11101000101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 2184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**(3\/8)\/d)\/d*d\/(d*d*d**(-7\/4)*d)*d)\/((d**(-1)\/d)\/(d**(-8)\/d)))\/(d*d*d*d**(-12)\/d*(d\/d**(1\/2))\/d*d)**(-4\/7) assuming d is positive.\nAnswer: d**(-745\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -24 - 6126?\nAnswer: -614a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the first derivative of -w**5\/10 - w**4\/12 - w**3\/3 + 3*w**2\/2 - 19*w + 34. Let m(l) be the first derivative of v(l). Determine m(2).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 + 10. Suppose 0 = o*r - 9*r - 45. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -5*r**2 + 11*r**2 + 7*r**2. Let u(l) = 3241 - 3241 - 2*l. Give u(y(m)).\nAnswer: -26*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the third derivative of -7\/20*s**5 - 2*s**2 + 5\/4*s**4 + 77 + 0*s + 0*s**3 + 1\/40*s**6. What is i in a(i) = 0?\nAnswer: 0, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4\/3, -0.4, -10, 0.2?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -55329.\nAnswer: -4\/55329","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 5}. What is prob of picking 3 i?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 + aaa351?\nAnswer: aaa354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 2*g - 18. Let p be d(8). Let w be p + 2 + (-36)\/(-12). Suppose -2*a + 147 = -w. List the prime factors of a.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 6\/11, -2\/3, 24?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10100010101010110 + -10110?\nAnswer: 10100010101000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 158 + -80. Suppose 12 - s = -2*c. What is the greatest common factor of 264 and c?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 5*y - 9. Suppose 44 = z + 57. Let x = 1 + -21. Let i = x + 14. Let k(w) = -11*w + 19. Determine i*k(h) + z*v(h).\nAnswer: h + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.3, 4, -5, -23, -3\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 223 is divided by -1 - (-54 - (6 + (-6 - -6))).\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the second derivative of l**5\/15 - l**4\/12 - l**3\/3 - 3*l**2\/2 + l - 4. Let a(f) be the first derivative of d(f). What is a(2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8.094 + 7.0789. Let t = 0.0151 + x. Are 18\/13 and t nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 4*u + 18 = 0, -4*u = -d + 4 + 11. Suppose -6 = -4*k + 14. Suppose -5*t + 4*t + k*q + 19 = 0, 5*t + 5*q - 5 = 0. Solve -d*o + 4*o + t = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 - -26. Calculate the highest common factor of n and 90.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3009)\/255*(-6)\/885\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10170840 divided by 10.\nAnswer: 1017084","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l = 2*j + 2, -3*j + 4*l = -2*j - 2 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(2673)\/sqrt(11) + sqrt(27)\/(sqrt(54)\/sqrt(6)) + 2*sqrt(33)\/((-4*sqrt(33))\/sqrt(3))).\nAnswer: 19*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.6 (b) -0.039 (c) 2.4 (d) -3 (e) -1 (f) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1090586?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o = -3827*c + 3822*c - o + 48, -3*o - 24 = -3*c for c.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15982, -63905, -143772, -255583, -399338, -575037, -782680?\nAnswer: -1022267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -191328, -191334, -191344, -191358, -191376, -191398?\nAnswer: -191424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 131 * -11\nAnswer: -1441","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1119221 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j and 1 q when four letters picked without replacement from {q: 2, y: 4, j: 7}?\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = 4*f + 665, 2*m + 443 = 2*f - 5*f. Let y = m + 2901\/13. Let a = -0.8 - -0.4. What is the closest to 2 in a, 2\/3, y?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from whcxw. Give prob of sequence xh.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*n + n + 13*n)*(-2*n + 0*n + n) + 7*n**2 - 31*n**2 + 14*n**2.\nAnswer: -14*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the first derivative of d**4\/12 - 2*d**3\/3 + 3*d**2\/2 - 36. Factor b(x).\nAnswer: x*(x - 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i - 5*b - 686, 0 = -3*i - 0*i + 5*b + 1019. Let g be i\/45 - 2\/5. Let s(v) = -v**2 + 9*v - 9. What is s(g)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 + -1174c?\nAnswer: -1174b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-2)*0\/6)\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -3899, -4022, -4141, -4256?\n\"Answer: 2*l**2 - 129*l - 3772","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 66568649?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -22 + (0 - -1) + 188 + -190 - -6\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes before 5:04 AM?\nAnswer: 11:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 831\/7 + -119. Let f = 0.016 - 0.016. Which is the closest to f? (a) -4 (b) j (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -237, -870, -1925, -3402, -5301, -7622, -10365?\n\"Answer: -211*h**2 - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c + 7*c - 21. Let f(o) = 5*o**2 - 11*o - 2. Let h(v) = 2*v**2 - 5*v - 1. Give c*h(u) - 3*f(u).\nAnswer: -u**2 - 2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 + -19.5. Let z = f + 19. Which is the third smallest value? (a) z (b) -1 (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14 + 0*d**4 + 3*d**3 + 15 + 3*d**4)*(-815 + 815 - 263*d) - 2*d**5 - 2 + 2.\nAnswer: -791*d**5 - 789*d**4 - 263*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is d + -14?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -j**3 - 6*j**2*p + 2*j*p + 416*p + 2 wrt j.\nAnswer: -3*j**2 - 12*j*p + 2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1445 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 9794312987 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 1, 7, 4, 53 in decreasing order.\nAnswer: 53, 12, 7, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 290 and 145?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16\/(-40))\/((-57)\/(-15)).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the first derivative of f**6\/9 - 28*f**5\/15 - 31*f**4\/6 - 32*f**3\/9 + 1863. Suppose q(c) = 0. What is c?\nAnswer: -1, 0, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*y - 308 - 93 = -43*y + 599 for y.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 19 - (18 + (18 - 2))\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u + 9 + 6. Let b be (-38)\/(-10) - u\/25. Let i(q) = 1 - 2*q + 0 + 1 - 3. Calculate i(b).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (4 + -1 - 6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-15)\/12)\/(-5) - 11\/(-4). Suppose 3*s = -2*s, c*g - 279 = -3*s. Suppose 0*k = 3*k - g. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12460820 rounded to the nearest one million?\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1141\/10 - 114. Let z(n) = n**2 - 3*n + 4. Let l be z(3). Find the common denominator of l\/(-20) - 437\/(-10) and i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 334 - 329. Suppose 2 = 2*n - 0*n. Solve -f*d + 17 = -4*j, d + d + n = -j for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:25 AM and 1:19 PM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 50 = 2. Let m be (-8)\/f*-3*-7. What is the tens digit of 2\/m + 1590\/42?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11 + -3. Let v(m) = -m**3 - 13*m**2 + 13*m - 14. Let a be v(l). Suppose a = 4*n - 5*n. Solve 2*x = n, -3*j - j = -x + 12 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v + 79 - 9. Let f be ((-54)\/21)\/((-3)\/v). What is the greatest common factor of 84 and f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*j - 3*j - j)*(3 - 4 + 2)*(-33 + 33 - 38*j)*(-j + 0*j - 2*j).\nAnswer: 228*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -7*m**3 + 9*m + 6. Let j(i) = 20*i**3 - 26*i - 17. Calculate 6*j(v) + 17*u(v).\nAnswer: v**3 - 3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1100 (base 4) in base 10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -211, -239, -307, -433, -635, -931, -1339?\n\"Answer: -3*q**3 - 2*q**2 - q - 205","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -5*u**2 + 14*u - 18. Calculate d(2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -45 + 34 + -21 + 44?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*w = 7*w + 21*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from {f: 7, s: 1, a: 12}.\nAnswer: 33\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/3221, -5, -1\/13?\nAnswer: -2\/3221","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h - 6 + 21. Suppose -2 - 4 = -h*i. Let g(l) = -3*l + 2*l - 2*l**2 + l**2 + l**3. What is g(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 26 and 282.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d*d**6\/d))\/(d**(-2\/11)\/d))\/((d*d\/d**(-2))\/d**1) assuming d is positive.\nAnswer: d**(-75\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -4*t**2 + 221*t + 674. What is k(-3)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 2 + (45 - -3)\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*p**3 + 4793*p**2 - 11156*p - 4 wrt p.\nAnswer: 48*p + 9586","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w - 252 - 155 - 166 + 682 = 4*x, 0 = -w + 5*x - 5 for w.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 65957 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1 + 2866*b + 2150*b - 1320*b.\nAnswer: 3696*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eiemiimktie. What is prob of picking 1 k and 1 e?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 - -8. Let u(g) = -t*g + 4*g + 4*g. Let x(z) = 4*z**2 + 0*z**2 - 2*z**2. What is x(u(f))?\nAnswer: 8*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10 - -10.0000153. What is t rounded to six decimal places?\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1000110111011110110001 (base 2) in base 4?\nAnswer: -20313132301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/((v*v**(1\/8))\/v))\/v)**25\/(v**(11\/6)\/v*(v*v\/(((v*v**4)\/v)\/v))\/v*v) assuming v is positive.\nAnswer: v**(-71\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -2*f**3 - 309*f**2 + 7500*f - 11972. What is k(-176)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v + 421 - 116 - 146 - 83 = -3*h, -9*h - 234 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (26 - (-34 + 17)) + -35.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -50*d**5 - 293704*d**4*h**3 - 53*d**2*h**2 + 55039*d**2 + 5*d*h**3 wrt d?\nAnswer: -3000*d**2 - 7048896*d*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1571 (base 15) to base 11\nAnswer: 3508","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -81.39 rounded to the nearest ten?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -5*d. Let u(q) = -q**2 - 5*q - 1871129. Determine n(u(m)).\nAnswer: 5*m**2 + 25*m + 9355645","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 168.276 and -0.01?\nAnswer: 168.286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*l**5 - 24*l - 2*l**5 - 14*l + 9*l**5 wrt l?\nAnswer: 200*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, h: 8, n: 3, i: 4}. Give prob of picking 1 h, 1 i, and 2 n.\nAnswer: 24\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u\/u**(-1))\/u)\/(u*(u\/u**(-1\/3))\/u))\/((u*u**(-22))\/u*u*u**(-7)*u*u))**(-39) assuming u is positive.\nAnswer: u**(-1001)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - 3 - (8 + -7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3681713514447.57 and -0.3.\nAnswer: 3681713514447.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -146 - -147. Let g = -25 - -15. Let z = g + 14. Which is smaller: z or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 460?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-26)\/(-4))\/(4\/44)*(-50548)\/(-139007)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eze when three letters picked without replacement from eezzzzzzzzzzezz?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 4*t + 31. Let h = 13 + t. Factor -5*i**2 - 2*i**h + i**2 + i**2.\nAnswer: -5*i**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.7 + 0.2. Let z be 8\/(-48) + (-898)\/12. Let o be z\/(-126) - (-2)\/(-4). Which is the second smallest value? (a) o (b) 0.1 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*w - 17*w - 10*w = -51. Factor 0 - 1\/3*o**4 - 4\/3*o**w - 5\/3*o**2 - 2\/3*o.\nAnswer: -o*(o + 1)**2*(o + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, n: 5, d: 2, v: 2, m: 2}. What is prob of picking 1 m and 1 n?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 + (-58)\/(-7) + 2. Let v = -932\/77 + o. What is the closest to 1 in v, -1\/3, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74551 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 65*f - 32*f - 2 - 9*f - 27*f.\nAnswer: -3*f - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 109\/231 - 8\/21. Let z = 31.1 + -37. Let x = -6 - z. Sort 1, f, x.\nAnswer: x, f, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxwxxxxyxwxsnxxxxnxx. What is prob of picking 2 w?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 3*x - 8*x - 8 = 0, -5*x - 5 = 0. What are the prime factors of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in fourty-two fifths of a century?\nAnswer: 840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1065 (base 9) to base 15\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -46.1 (b) -8 (c) 4 (d) 61\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 40\/15*7028\/16. Let o = -3361 - -2202. Let x = z + o. Find the common denominator of 23\/6 and x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the second derivative of w**5\/20 - 3*w**4\/4 - w**3 + w**2 + w. Let a be -9 - (-3 - -7) - -23. What is the tens digit of z(a)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8923\/2 + -267713\/60. What is the common denominator of b and 1\/(-18)*(-6672)\/(-32)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -7b2 - 981?\nAnswer: -1353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2195113721 - -8.\nAnswer: 2195113729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 342 - 193 = -149*k. Which is smaller: k or -141\/59?\nAnswer: -141\/59","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the first derivative of -r**6\/24 - 7*r**5\/20 - 15*r**4\/16 - 3*r**3\/4 + 3. Factor y(d).\nAnswer: -d**2*(d + 1)*(d + 3)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 27\/7? (a) 9 (b) -40 (c) 0.029\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/7 (b) -4\/5 (c) 21961.71 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -275 <= 2503303?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -3524.\nAnswer: 1\/1762","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1098162.\nAnswer: 2, 3, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -3837, -4293, -5061, -6147, -7557, -9297, -11373, -13791?\n\"Answer: -z**3 - 150*z**2 + z - 3687","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**3 + 6*j**2 + 4*j - 3. Let c be h(-5). Suppose 4*t - 107 = c*b + b, 2*t + 4*b = 48. What is the remainder when t is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1406637114?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 5 = 3. Let m be (1 + (-22)\/16)*(w - -6). What is the closest to 1\/2 in 4, -2\/11, m?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*q + q. Suppose q*f = -3*i, 3*i - i = -5*f + 15. Let h = -3 - i. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 77, 889, 3041, 7187, 13981?\n\"Answer: 109*r**3 + 16*r**2 + r - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 28? (a) -1 (b) -26 (c) 0.1 (d) -4\/5 (e) 0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 29183353 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 4, -10, 2\/5, 2\/9, -106?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 15) in base 13?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -136 = 10*c + 14. Is c <= -13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(475))**2 - (sqrt(114) + (sqrt(114)*-3 - sqrt(114) - sqrt(114)))\/sqrt(6) - -5*((sqrt(2736) - 3*sqrt(2736) - sqrt(2736)) + sqrt(2736) + -3)**2.\nAnswer: 724*sqrt(19) + 56665","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 32865 - 21949. What are the prime factors of c?\nAnswer: 2, 2729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -58*t**3*v - 15*t**3 - 4*t**2*v + 4914*v - 1 wrt t.\nAnswer: -174*t**2*v - 45*t**2 - 8*t*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**3 - 3*i**2 - 3*i - 2. Let o be p(-2). Suppose h = -o*h. Suppose h = -5*l + 132 + 68. Solve 4*a - 5*u = -l, 3*u = 5*a - 2*a + 27 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 26 - 16. Let p = 200 - 130. What is the highest common factor of r and p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -47936, -94431, -140926, -187421, -233916, -280411?\nAnswer: -326906","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11 - -18. Let y(h) = -h**2 + 20. Calculate the remainder when y(0) is divided by u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 3*y**2 + 4*y - 6. Let u = 38 - 44. Let d(f) = -3*f**2 - 5*f + 7. Give u*d(m) - 7*w(m).\nAnswer: -3*m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -30 in -5, -1, 4, -365?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1679 and 46?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**5 - 6*d**4 - 13*d - 6. Let c(z) = -7*z**5 + 49*z**4 + 105*z + 49. Let x(n) = -6*c(n) - 49*y(n). What is the second derivative of x(q) wrt q?\nAnswer: -140*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35962 (base 10) in base 3?\nAnswer: 1211022221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9529185 to the nearest integer?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 48*b + 97\/2*b**2 - 2\/3 + 73\/6*b**3.\nAnswer: (b + 2)**2*(73*b - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.4 (b) -0.09 (c) -288 (d) 2 (e) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -9\/113 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7183\/190 or -39?\nAnswer: -39","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 227268 is divided by 225883.\nAnswer: 1385","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - r)*(-3757*r - 1085*r + 2843*r).\nAnswer: 1999*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-39)\/104*(35\/(-21))\/(20\/(-144)*2).\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 10 - (-10 - -13)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.09 and 5.\nAnswer: -0.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 62.66984967 rounded to the nearest ten?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 4*c = 0, -5*f + 13*c = 10*c - 24. Solve f*y = -0*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 19316458 and 20076.\nAnswer: 3346","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 304531 - 304543 = d for d.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 16325227294 - -419.5\nAnswer: 16325227713.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 66, 74, 82?\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*n + 8*n - 12 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, x: 2, i: 1, y: 1, d: 1, v: 1}. What is prob of sequence ivn?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**3 + 4*u**2 - 2*u - 1. Let j be g(2). Let i = 3 + 1. Solve 0 = -j*s - s - i for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 27838 - 27713. Solve g = 4*b + 97 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 5*b + 5. Let n be k(-5). Suppose 5*m + 3*a - 55 - 88 = 0, -5*a = m - 33. Let c = m + n. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-37449)\/(-146) + (-1)\/(-2) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 10828?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqq. Give prob of sequence qqq.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -291*f - 16. Is c(-5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, -4, -0.01, 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 100\nAnswer: -1\/50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, i: 2, r: 2, m: 4, e: 3, g: 1}. What is prob of sequence mj?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the third derivative of -q**4\/24 + q**3\/6 + 20*q**2. Let x be p(2). Let r(n) = n - 1. Let f(v) = 10*v - 6. Determine x*f(c) + 6*r(c).\nAnswer: -4*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b - 12 = 2*s, -5*s - 209 + 585 = b + 198 + 208 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19582, 19496, 19408, 19318, 19226, 19132, 19036?\nAnswer: 18938","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 2 * 0.07394916\nAnswer: 0.14789832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a litre in millilitres?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 6 (b) 4 (c) -0.7 (d) 0.1 (e) 92.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the third derivative of l**6\/24 - l**3 - 7*l**2. What is the first derivative of b(s) wrt s?\nAnswer: 15*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 473 = 3*m - 4*d, 4*m + 5*d - 1 = 640. What is the tens digit of m\/12 - 3\/12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**3 + 6*t**2 + 6*t + 7. Let y be w(-5). Suppose 0 = y*x - 0*x + 4. Let f be ((-3)\/2)\/((-903)\/344) + -1. What is the nearest to 1 in f, -6, x?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -10157274, -20314544, -30471814, -40629084, -50786354?\n\"Answer: -10157270*n - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 12, 65, 208, 489, 956, 1657, 2640, 3953?\n\"Answer: 8*b**3 - 3*b**2 + 6*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rejr when four letters picked without replacement from erejederrjfjfefejee.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 52582979?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 13367 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b + 14 + 26. Calculate the lowest common multiple of b and 11.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1 + sqrt(1300) + sqrt(1300))*-1 - (4 + sqrt(1300) + -1)) + -2*sqrt(1300) + sqrt(1300) + 4 + 1 + 3 + 0)**2.\nAnswer: -320*sqrt(13) + 20816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13 and 6799.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.2, -53, -3?\nAnswer: -53","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 49364 and 516.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**2 - 29*w - 134. Let c be o(-6). Solve 2*h + 5*y = -7, 2*h + c*y + 10 - 4 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 47.9 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 464321?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the second derivative of -p**4\/6 + 5*p**2\/2 - 3*p. Let x be t(2). Sort x, -4, 1, -5 in ascending order.\nAnswer: -5, -4, x, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 3174, 3175, 3176?\n\"Answer: z + 3173","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -81392 + 129729. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 151090992?\nAnswer: 2, 3, 13, 43, 1877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*t**5\/3 - 260*t**4\/3 + 12800*t**3\/3 - 286720*t**2\/3 + 2621440*t\/3 - 4194304\/3 = 0. Calculate t.\nAnswer: 2, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 51208 = 2*w, 0 = 4*w - 2*g + 93071 + 9333. Round w to the nearest one thousand.\nAnswer: -26000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50688*t**2 - 99876*t**2 + 51142*t**2.\nAnswer: 1954*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 2 - 2)*(2*f**2 - 7*f - 16 + 16 - f + f - 2*f**2 + (f - f - 2*f**2)*(-1 + 2 + 0) - 3*f + 6*f**2 + 3*f) as b + v*f + n*f**2 and give v.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 2*x - 15 = 0. Let p(j) = 24*j**2 - 2*j + 1. Let f be p(x). Suppose 3*w - f = 4*g, 5*w + 5*g - 214 = 2*w. What is the tens digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17239, 26189, 35139?\nAnswer: 44089","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 41711\/(-4)*(2 - 6) + -4 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - 2 - 1 - (16 + 10 + -8).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 76 - 91 + 391*r - 35*r**2 - 391*r + 13.\nAnswer: -35*r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -49523 greater than or equal to -49523?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 12.23 and -2.25.\nAnswer: -27.5175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve i + 17*t = 15*t + 7, 4*i = -4*t + 24 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -5*v + 3*v + v. Let w(f) = 8*f + 182. Let m be w(-23). Let j(r) be the third derivative of -r**5\/60 + r**4\/12 - r**3\/6 + 9*r**2. Give m*d(q) - j(q).\nAnswer: q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1839.4 + -1839. Suppose -24 = 4*s - 2*c, -20 = 3*s - 0*c - 2*c. What is the nearest to -1\/4 in 1, y, s?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 64, 65, 78, 109, 164, 249, 370?\n\"Answer: w**3 - 6*w + 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44 + 34516726.52092.\nAnswer: 34516770.52092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/(-15))\/((-57020)\/8553)?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 72 and 171.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*n**2 + 3*n**2 + 3*n**2 + (2*n - 2*n - 2*n)*(1 + 2*n - 1) + 5*n**2 - 3*n**2 - n**2.\nAnswer: 12*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1105992 is divided by 71?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 52909, 105809, 158709, 211609?\nAnswer: 264509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 900161.3nm to meters.\nAnswer: 0.0009001613","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6616*p**3 + 39263*p**2?\nAnswer: 39696","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6.4 - -2.4. Which is the second biggest value? (a) 141 (b) 2 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(1\/4)*c)\/c)**(2\/51)*c**1\/((c**(2\/5)\/c)\/c) assuming c is positive.\nAnswer: c**(1331\/510)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5095*p**3 + 3261*p**3 + 1801*p**3.\nAnswer: -33*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 - -2. Let m = 0.4 + 0.6. Let p = m - 0. Is p != v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) 60\/193 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 153764 divided by 76882?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 224*g + 25282 = -1759*g - 18344 for g.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30 + -36 + (-832)\/(-91).\nAnswer: 22\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**0)**(7\/10))**(1\/8) assuming v is positive.\nAnswer: v**(7\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/27)\/(1408\/5280)?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 106889?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4\/10)\/(77\/55). Let x = -388 + 22886\/59. Let y = x + -129\/472. What is the nearest to 2 in d, y, -1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -129 + 517?\nAnswer: 388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 112*z**5 + 185*z - 126*z**5 + 56*z**5 wrt z.\nAnswer: 840*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -310 and -43.685?\nAnswer: 13542.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ullyyeyyyyuuyyuuyyy. What is prob of sequence lyey?\nAnswer: 55\/23256","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**3\/7 + 23056*q**2\/7 + 46115*q\/7 + 3294.\nAnswer: -(q - 23058)*(q + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 4*p**3 + 1. Let w(b) = -2*b**3 + b**2 - b - 1. Let n(m) = -4*m**3 + 4*m**2 - 4*m - 3. Let h(j) = -n(j) + 4*w(j). Determine 5*d(v) + 6*h(v).\nAnswer: -4*v**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.32656 millennia in years?\nAnswer: 9326.56","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/6 + (-20)\/6. Let g = f - -3. Let q = 7 + -9. Sort 5, g, q.\nAnswer: q, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 5*z**2 - 4. Let n(f) = -11*f**2 + 9. Let i(w) = -4*n(w) - 9*v(w). Let s(r) = 202 + 92*r**2 + 242 - 444. Give s(i(u)).\nAnswer: 92*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**22\/b**(-2\/13))**(1\/3) assuming b is positive.\nAnswer: b**(96\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 635*n + 5693. What is p(-9)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (24\/16)\/((-3)\/44). Let v = r - -88. What are the prime factors of v?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**0*m**(-2)*(m\/(m**(1\/3)*m))**(-34) assuming m is positive.\nAnswer: m**(28\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -10*c - 7. Let p(l) = 3*l + 3. Determine 7*p(r) + 2*y(r).\nAnswer: r + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4267 - 15602*u**2 + 919 + 13316*u**2 with respect to u.\nAnswer: -4572*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(0 + sqrt(128) + -1 + sqrt(128) + sqrt(648)*-1 + 2))**2.\nAnswer: -144*sqrt(2) + 324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * -3.4.\nAnswer: -0.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + 120 = 7*o + 3*o, 11*o + 10*f - 106 = 7*o for o.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -332 + 387. Let p(j) = 5*j**2 - 4*j + 2. What is the remainder when g is divided by p(2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42518*i - 11271 = -42807*i for i.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 393760293.\nAnswer: 3, 607, 216233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9 - -3. Let r(h) = -4*h + 108. Let o be r(24). Solve 8*b - o = f*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2724?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 - 6. Let a be 425*(32\/w)\/(-1). Let y be (a\/(-15))\/((-2)\/(-22500)). Round y to the nearest 1000000.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 818333 + 1?\nAnswer: 818334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1592 + 4419. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10.5 - -14. Let l = p + -4. Sort 2\/3, l, 0.2 in ascending order.\nAnswer: l, 0.2, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 161 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 32*j**2 + 2*j - 1. Let o be k(1). What are the prime factors of (-2)\/11 + 270\/o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 51\/2 of a litre?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 17226.15 rounded to the nearest 100?\nAnswer: 17200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 13 - 0 - (7 - 5). Let g(j) = -2 + 2*j + 8 - v*j**2 + 13*j**2. Is 15 a factor of g(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57513304 a multiple of 4124?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2091062 to the power of 1\/5, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -4*k + 10. Let d(w) = 2*w - 4. Let h = -115 + 100. Let c(y) = h*d(y) - 6*x(y). Give c(-3).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 520 a factor of 5313880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, -3\/4, 2.15?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1105091 - -1104556.9757. Let r = m - -534. Round r to 2 decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12453479 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/(-360)*-4*(-7)\/(147\/162)?\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1420 is divided by 110.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 803741?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -11\/177 <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 3*z = -0*m + 8057, -4*z + 6452 = 4*m. Is m a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**4\/5 - 6*s**3\/5 - 13*s**2\/5 - 12*s\/5 - 4\/5.\nAnswer: -(s + 1)**2*(s + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0\/(-2) - (-24)\/6. Solve x*r - 5 = 11, -4 = -4*b + 4*r for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 17*w + 2. Let f(h) = -h**2 + 32*h - 190. Let y be f(24). Determine x(y).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -6 - -18 - 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57775609 is divided by 749?\nAnswer: 745","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 122*t + 5*t**2 - 59*t - 63*t.\nAnswer: 5*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-41)\/4 - (-2)\/8. Let g = -10 - r. Let n(s) = 5*s**2 + 3*s - 3. Let c be n(1). What is the second smallest value in g, -4, c?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -4, 8, -5, -22 in increasing order.\nAnswer: -22, -5, -4, 2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 446347?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*m - 157 - 326 = -99 for m.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 29998 a multiple of 106?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (11 + -10)\/(-3*1\/(-1473)). Suppose -489*w + b*w = 24158. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-234)\/39)\/((-14)\/1))\/(-1)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**3\/(y\/(y\/(y\/(y**(1\/2)*y)*y))))\/(y**(-1))**(-10\/7)*(y*y*y*(y**(-1\/4)\/y)\/y)**(2\/13)*((y\/(((y**(-1)\/y)\/y)\/y))\/y)**(14\/11) assuming y is positive.\nAnswer: y**(6284\/1001)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u + 36 = 3*o, -2*o + 738*u - 735*u + 24 = 0 for o.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from bbhh?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the second derivative of -8*m**7\/21 + 5*m**3\/3 - 8*m. Find the second derivative of k(h) wrt h.\nAnswer: -320*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -77 - -82. Solve -4*k - o = -5*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.73 take away 554077145?\nAnswer: -554077152.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 8021, 16040, 24057, 32072, 40085?\n\"Answer: -s**2 + 8022*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.40475 + -3011?\nAnswer: -2995.59525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2313 is divided by 26?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4.3 + 2.3. Let v = 4 - 4.4. Put 5, v, j in increasing order.\nAnswer: j, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) 2 (c) -2 (d) -0.4 (e) 4 (f) -22\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 535860041 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1\/2)*j*j**(-7))**(-24) assuming j is positive.\nAnswer: j**156","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 - 5)*(3*h**4 - 5*h**4 + 0*h**4).\nAnswer: 12*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2211 and 0.11281.\nAnswer: 2211.11281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -49 divided by -1?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 4*a - 12. Let t be r(11). What is the highest common factor of 80 and t?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 100332 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (2 + 43)*(3 + (-68)\/20)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*u + 0*u + 3*u + 2*u**3 + (-2*u**2 + 3*u - 3*u)*(-10*u - 15*u - 27*u).\nAnswer: 106*u**3 + 3*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y = 5*y + 9 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 8)*(-1541)\/23115.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -7*g**2 - 2*g + 78. Give d(0).\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 23*o**2 + 617*o - 57. Determine z(-27).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1084053 is divided by 154864?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -117.844 to the nearest ten.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 156747 is divided by 156711.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 6*u**3 + u**3 - 2*u**2 - 380*u + 379*u to the form a*u**2 + m*u + y*u**3 + w and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 1243440 to the nearest ten thousand.\nAnswer: 1240000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12606329?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 717 is divided by 206?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.420847 + 1.30617. What is w rounded to 3 dps?\nAnswer: -0.115","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*y - 31*y = -9. What are the prime factors of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41256317 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -26 + -432?\nAnswer: -458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(147) + -1)**2.\nAnswer: -888 + 84*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 + 0 + (-39 - -17) + 46.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5591 is divided by 373?\nAnswer: 369","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 4*u + 2. Let d(r) be the first derivative of r**4\/4 + 11*r**3\/3 + 5*r**2 + 3*r + 4. Let z be d(-10). Determine y(z).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and -0.31.\nAnswer: 0.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97914 is divided by 107?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1342 is divided by 193.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + 10 + (-4 - -3) + 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 109 and 101261.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 798881 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 20 + 6. Let y = 64 - z. Is (y\/(-4)*-4)\/2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 6138\/2288 + (-6 - -4) and -13\/22.\nAnswer: 1144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 609?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -596*a = -1299*a + 28120 for a.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (51\/3 + 1)*1. Let l be (-2)\/9 - (-4)\/o. Suppose -7*g + 74 = -2*g + 4*u, l = -2*g + 4*u + 24. What is the remainder when g is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m = y + 2, -3*m - 3 = 2*y - 5*y for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**2 - 2*g + 23. Determine m(-7).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -20 + (-18 - -11 - -10)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 3336503, 3336504, 3336505, 3336506?\n\"Answer: s + 3336502","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 21 = s, -5*s + 4*s - 12 = -t. Let a(r) = -r**2 + 10*r - 3. Let n be a(t). Suppose 0 = f + n*f - 140. Is 5 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 83 = -5*t + 286, 3*t - 197 = -4*l. Suppose -l + 227 = 5*p. Let n be (6\/(-4))\/((-1)\/6). Calculate the greatest common factor of p and n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 453*f**2 + 2453*f - 90*f**2 + 3 - 2449*f + 5. Suppose 2*m + 3*m - 30 = 0. Let k be j(m). What is k rounded to the nearest one thousand?\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1237*n + 542*n = 628*n - 992*n + 244302 for n.\nAnswer: 114","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 12 = -4*v. Let y = 7 - 4. Let g = y + -1. What is the closest to g in v, -1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01265593 to 5 dps.\nAnswer: -0.01266","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 + 13128645941\nAnswer: 13128645941.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -22.035 - -22.4. Let x = c - 0.364654. What is x rounded to 4 decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 583069 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-2) + 1)*27\/(-135)?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1061.22 minus -3673?\nAnswer: 2611.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 72, 85, 106, 135, 172, 217, 270?\n\"Answer: 4*c**2 + c + 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 6*l + 26. Calculate b(-8).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10\/9, -5, 4 in decreasing order.\nAnswer: 4, 10\/9, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*f**3 + 22715*f**2 - 25415370*f - 50921640 = 0. What is f?\nAnswer: -2, 2004, 2541","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3149 - 3152. What is the closest to -2 in d, -0.2, 0.4, 17.3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.6 + 0.2. Is z bigger than -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the first derivative of -23\/2*q**4 + 22\/5*q**5 + 4*q - 37 - 2\/3*q**6 - 11*q**2 + 46\/3*q**3. Suppose t(n) = 0. What is n?\nAnswer: 1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -77, -68, -47, -8, 55?\n\"Answer: y**3 + 2*y - 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1558443 a multiple of 163?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40935 is divided by 34?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**3 - 7*l**2 - 8*l - 10. What is h(8)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/1 - (3 - 0). Let z = 6 - 2. Let p = z + g. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2934 - -10224. Is 81 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.17 + 0.45. Round a to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**3 - 10*k**2 + 15*k + 2. Let o(u) = -u**3 + 11*u**2 + 27*u - 5. Let r be o(13). Let j be v(r). Is 842 - ((-4)\/10)\/(j\/15) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 4\/3 of a day?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -15.4773424 * -0.5\nAnswer: 7.7386712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -854*t**3 + 339*t**2 + 14*t + 192148420.\nAnswer: -2562*t**2 + 678*t + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**2 + 11*x. Let t be s(10). Suppose 5*b - 10 - t = 0. What is the second derivative of 7*d**3 - 6*d**3 + b*d + 4*d**3 + d wrt d?\nAnswer: 30*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 40 and 42660.\nAnswer: 85320","meta":{"dup_signals":{},"source":"numbers__lcm_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: Let a = -0.608 + 0.508. What is the closest to a in 166, -2\/9, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3.9 + 3.900000727. What is h rounded to seven dps?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes after 3:14 PM?\nAnswer: 5:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -2*d + 68. Suppose -d - 1 = 3*q. Let j(f) = -6*f - 3. Let y(t) = 3*t + 1. Let x(u) = q*j(u) - 13*y(u). Find the first derivative of x(m) wrt m.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**3 - h**2 - h**2 - 4 + 2*h**2 + 3*h - 8*h**2. List the prime factors of o(8).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 12, 130, 444, 1050, 2044?\n\"Answer: 16*u**3 + 2*u**2 - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -21\/10 and -93\/5948?\nAnswer: 29740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 425051064?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**2 + 7*r - 14. Let x be f(5). Let w = x - -8. Suppose -v = o - 19, -74 = -w*v - 3*o + o. Calculate the greatest common divisor of 18 and v.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1100\/483 - -236\/69. Which is the closest to o? (a) 1\/2 (b) 2 (c) 0.4 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -17.614 + 0.214. Let x = -11 - k. Let p = 1.1 + x. What is p rounded to zero decimal places?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -p**3\/3 + 9607*p**2\/3 + 2252444*p\/3 = 0. Calculate p.\nAnswer: -229, 0, 9836","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 2*d**2 + 3*d - 1. Let g be u(3). Let x = 32 + g. What are the prime factors of x?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j - d + 2 = 0, 12*d - 16*d + 21 = 5*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 8*s**2 + 34*s - 402. What is j(6)?\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - v = -5, -23 = -4*a + 2*v - 3. Suppose -2*z + 2 = 14. Put 1, z, a, -1 in decreasing order.\nAnswer: a, 1, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -73 + 104. Let l(r) = -r**2 + 7*r - 4. Let h be l(6). Suppose -4*f - 5*d + y = 0, h*f = -0*f + 3*d - 1. Solve f*j + 25 = -j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = y + y. Suppose -4*n + 6 = -2*w, -4 = -4*w - 3*n + y*n. Solve -16 = -4*l - w*j, 6*l - l - j - 20 = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 52 and 247?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes after 11:44 PM?\nAnswer: 6:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 3 k when four letters picked without replacement from {k: 4, f: 7, b: 2, v: 5}?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 123 - 50 = 2*p, -4*p + 2*h + 150 = 0. Suppose 41 = 2*g + 3*c, 2*c + 42 = 2*g + 6*c. Calculate the remainder when p is divided by g.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 205097 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the second derivative of 0*w**3 - 7*w + w**2 + 7\/12*w**4 + 0 + 1\/20*w**5. Let y be r(-7). Solve -5*z - 3*g = -1, -5*z - y*g - 7 = -3*g for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1762?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1465 in 3, -0.077, 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 363\/99*14\/539?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (52 + -37) - 9?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 5301398883 to the nearest one million.\nAnswer: 5301000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 106*d - 223 - 31 = -21*d. Let b(r) be the second derivative of -3\/20*r**5 + 0*r**d + 0 + 9*r + 0*r**4 + 1\/2*r**3. Factor b(m).\nAnswer: -3*m*(m - 1)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k**2\/2 - 675*k\/2 - 669 = 0. Calculate k.\nAnswer: -223, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) 108 (b) 2\/5 (c) 11 (d) -2\/15 (e) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (28\/(-8) - -1) + (-2)\/4. Let i(j) = 6*j + 4. Give i(a).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 90\/(-10) + 61\/(-183)*(-3)\/2*-2.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 + -12100221221222101?\nAnswer: -12100221221222021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -165*x + 1481. Give l(9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7564368 is divided by 3185?\nAnswer: 3178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(1900))**2*1.\nAnswer: 17100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 92*d - 2. Let j(w) = 368*w - 9. Determine -2*j(m) + 9*x(m).\nAnswer: 92*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a = 7*a + 120, 72*g + 60 = 71*g - 5*a for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7415382, 7415378, 7415374, 7415370?\nAnswer: 7415366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101110 + -1011111001001111011101?\nAnswer: -1011111001010001001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((14\/(-42))\/((-44)\/(-99)))\/3)\/(26\/16)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeeeee. Give prob of picking 2 e.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (128\/(-24))\/(-4)*24\/(-16)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -3*x - 7. Suppose 5*g + c + 45 = 0, -2*c = -5*g + 19 - 79. Let y = g - -11. Let k(q) = 6 + 4*q + y + 1. Determine -5*k(l) - 6*z(l).\nAnswer: -2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14380 and 1?\nAnswer: 14380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o**3\/9 + o**2 + 23*o\/9 + 5\/3 = 0. Calculate o.\nAnswer: -5, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 306 and 102?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -36.7 - -47.\nAnswer: 10.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 416849?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 857*m = 839*m + 1271430. What is the tens digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vv when two letters picked without replacement from fdaivadaevvddde?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -18*l**2 + 9. Let q(z) = z**2 + 1. Give 2*p(v) - 18*q(v).\nAnswer: -54*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/2, -2\/157, -3, 0.4, 11 in ascending order.\nAnswer: -3, -3\/2, -2\/157, 0.4, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 32*i**3 - 214*i + 80*i + 81*i - 2 + i**2 + 52*i. What is j(-1)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(14)\/sqrt(2)*-4 - -6*sqrt(14)\/sqrt(2))*2.\nAnswer: -20*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**5\/11 - 300*r**4\/11 - 18000*r**3\/11 - 540000*r**2\/11 - 8100000*r\/11 - 48600000\/11.\nAnswer: -2*(r + 30)**5\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 25 = -3. Suppose o = -5*n + 36. Solve -n*h + 31 = -5*j + 11, 5*j + 3*h = -4 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((1 - 540) + 2)\/(-1). Suppose 0 = 7*n - b - 303. What are the prime factors of n?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02069 to 3 dps.\nAnswer: -0.021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (1*(sqrt(720)*1*-3 + sqrt(720)) + (0 + sqrt(720) + 3)*2)*3)**2.\nAnswer: 289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1347922766?\nAnswer: 2, 6269, 107507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 109\/154 and -27\/98.\nAnswer: 1078","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*k - 5*s + 5, 292*k + 4*s = 287*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 14*b + 299. Let g be n(-21). What are the prime factors of g + 1204 + (-65)\/(-13)?\nAnswer: 2, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h - 0*h + 16. Suppose 7*z - 72 = 3*z. Calculate the smallest common multiple of h and z.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13 - 11. Sort -0.3, o, -0.9 in ascending order.\nAnswer: -0.9, -0.3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -2*t**3 + 37*t**2 - 47*t - 66. Let j be b(17). Put -4, -545, 1, 5, j in increasing order.\nAnswer: -545, -4, 1, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the first derivative of l**2\/2 + 6*l + 1. Let b = 15 - 15. What is the smallest common multiple of v(b) and 3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 12 = -a, 2*a + 4*n = 5*n + 19. Suppose 135 = 36*g - 81. What is the third derivative of 2203*x**3 - 18*x**2 + a*x**g - 2203*x**3 wrt x?\nAnswer: 1080*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 392693\/16950 + -3\/2825. Let d = -59911\/14520 + 2\/1815. Find the common denominator of d and u.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77863 is divided by 509?\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.7043 - -0.2043. Which is the second smallest value? (a) -2 (b) t (c) -8 (d) -11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 84012 + 44*o - 251998 + 84004 + 84002 in the form k*o + y and give y.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 16*(-5)\/(-160)*-23?\nAnswer: -23\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - 18 = -15, 2*z = -t - 2 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -4860*k. Let u(b) = 184*b**2. Give u(f(s)).\nAnswer: 4346006400*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the third derivative of u**6\/120 - 16*u**3\/3 - u**2 + 12. Let c(h) be the first derivative of b(h). Let d(s) = -7*s. Calculate c(d(g)).\nAnswer: 147*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -23 - (-23 - 0) - (-1 - 12)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b + 11. Let c be m(-6). Suppose 5*s - 2700 = -c*q, 6*q - 2703 = -5*s + 2*q. List the prime factors of s.\nAnswer: 3, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 6, t: 13}. Give prob of sequence nnnn.\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 999 = 3*f, 645 = 3*f - f + 5*y. What is the hundreds digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*c**2*o**3 + 524*c**2*o**2 - 5*c**2 + 14*c wrt o?\nAnswer: 6*c**2*o**2 + 1048*c**2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -24627 + 13.347\nAnswer: -24613.653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3605*k*l - 2752*k + 2 wrt l?\nAnswer: 3605*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1208431?\nAnswer: 7, 172633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1352 to 1 dp.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 683, 1366, 2049, 2732, 3415?\n\"Answer: 683*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 2*s + 46, -4*l + 3*s = -0*l - 47. Suppose -7 = z - 24. Let i = z - l. Solve -2 + i = -f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 2*p + 2 - 4 = 0, -i - 3*p - 13 = 0. Let u(q) = q - 4. Let x be u(6). Let o(s) = 5*s**i - 3*s + 2*s + x*s**2 + 0*s**2. Give o(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -261145\/487 and -536 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**2 - 204*o - 2299. Calculate h(-12).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 46880 divided by 4?\nAnswer: 11720","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (62\/(-80))\/1 + 4\/10.\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 6816.9124 * -0.1\nAnswer: -681.69124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*o**4 - 6919*o**3 + 120743*o wrt o?\nAnswer: 36*o**2 - 41514*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.1 + -0.1. Let l = 0 + r. Let w be ((-2)\/4)\/(7859\/290 - 27). What is the second biggest value in w, l, 4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (68 - 66) + -2 + 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3212?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 3208000 to the nearest 1000000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/53, 13, 2\/9 in decreasing order.\nAnswer: 13, 2\/9, -2\/53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -12378215 * -11.\nAnswer: 136160365","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(3\/5))**(-4\/5)*(h*h**(1\/2)*h)\/h*h**(-2))**(3\/5) assuming h is positive.\nAnswer: h**(-147\/250)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.4, -2, -30?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -25 + 29. Let m = -59.6 - -59.2. Sort m, 16, g in decreasing order.\nAnswer: 16, g, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 219 = 3*p - 5*m - 25, 5*p + 4*m - 456 = 0. Is p a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1299 = -44*c - 1253. Let t be ((-54)\/(-6) - -3)\/((-2)\/9). Does c = t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k - 0*k + 2. What is the third derivative of -i + i - 3*i**k - 23*i**4 + 17*i**4 wrt i?\nAnswer: -144*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 + 9 - -1)\/2. Suppose 3*u + 4*w = -0*u + 476, 3*w - 797 = -t*u. Let o be u\/25 + (-4)\/10. Solve o*b = 3*b - 12 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 - 7. Is ((-1)\/2)\/(g\/582) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-30)\/(-3))\/(-5)*(-28)\/7?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*v - 2*v + 5*v + (-2 - v + 2)*(3 - 1 - 3) - 347*v + 44*v - 338*v.\nAnswer: -642*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 402?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-19 + 19)\/(-1 + -1). Which is smaller: a or 3\/11?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 80571 - -3?\nAnswer: 80574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 + 0. Let y be 1*-2 + (b - -3). Is 4 a factor of -2*(-5 - (0 + y))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 33*m**2 + 185*m + 553. Determine t(-3).\nAnswer: 295","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 99.2 + -117. Let c = v + 18. Put c, 3, -5 in increasing order.\nAnswer: -5, c, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 455 or -196?\nAnswer: 455","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 211201 - -1012211?\nAnswer: 2001112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -30*m**3 - 16*m**2 + 11*m + 5. Let r(q) = -q - q + 3*q**2 + 6*q**3 - 3176096 + 3176095. Determine -11*r(n) - 2*v(n).\nAnswer: -6*n**3 - n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:00 AM and 11:30 AM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 4.337759ml?\nAnswer: 0.004337759","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 113826754421 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express q**3 + 145*q**4 + 7*q - 84*q**4 - 35*q**4 + 0 - 1 in the form n*q**2 + z + b*q + h*q**3 + t*q**4 and give b.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(343)*-2 + -1 - -3*(sqrt(343) - -2*sqrt(343))))**2*1.\nAnswer: -882*sqrt(7) + 151272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 171925974?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -23 + 26 + -17 + -4?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -579 + 443.7. Let i = d + 135. What is the second biggest value in 0.5, i, 0.01, -0.2?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 - 6.1. Let t = -0.8 + 0.3. Suppose 0*j = j + 3. Which is the closest to g? (a) -5\/2 (b) j (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 319 is divided by 13.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -15019, -29959, -44809, -59563, -74215?\n\"Answer: q**3 + 39*q**2 - 15064*q + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 15 = -4*u. Let c = 666 - 664. Solve -2*p + 6 = c*n, -u*p + p + 20 = -4*n for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes before 12:20 AM?\nAnswer: 5:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 3, b: 5, r: 4}. Give prob of sequence bhh.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 40131364?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14754001 is divided by 486.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -521*f - f**2 + 520*f + 3*f**2 - 1 - 23*f**3 - 4*f**2 + 2*f**4 to z*f**2 + q*f**3 + t*f**4 + n*f + k and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-75)\/50*4\/3 + 2. Let w(i) be the first derivative of -13 + 1\/4*i**4 + 5\/3*i**3 + i**2 + v*i. Determine w(-5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**3 + 17*k**2 - 14*k + 4. Let r(q) = q + 32. Suppose 5*o = -28 - 52. Let s be r(o). Is 10 a factor of x(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t + 4 + 0 - 4. Let m(h) = -4*h**2. What is m(z(n))?\nAnswer: -4*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zeeeezzpvpezepppee. What is prob of sequence pe?\nAnswer: 20\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -7661*w**3 + 3*w**2 + 2*w. Let m be o(-1). Is (-2 - (-6)\/9)\/((-4)\/m) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -5*t + 143. Let r(o) = -7*o + 144. Let s(x) = 4*f(x) - 3*r(x). Calculate the remainder when s(-42) is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -310 + 306. Calculate the common denominator of -85\/292 and (-2064)\/(-256)*d\/6.\nAnswer: 584","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -3526, -5078, -4654, -2254?\n\"Answer: 988*i**2 - 4516*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (-14)\/(-16) - (-222574)\/82544?\nAnswer: 18\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3266 and 92.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -304*i - 3*m + 163 = -278*i, 7 = -4*i + m + 4 + 12 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxkx when four letters picked without replacement from xxxxkkx.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0\/(2 - 0) + 1. Let l = 0 - -5. Let x = 10 - l. Solve y = x*o - 9 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -3*x - 256. Let k(n) = n**3 - 26*n**2 - 31*n + 65. Let r be k(27). Let c = r - x. What is the remainder when c is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43234 is divided by 424?\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -51520.8711 rounded to the nearest ten thousand?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 194 + -221. What is the common denominator of 17\/6 and (-1 - l\/(-60)) + 6\/(-8)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4.0757 + -0.0157. Let k = v - 0.06. Sort 1\/5, -4, k in ascending order.\nAnswer: -4, 1\/5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 8556569 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the third derivative of -y**7\/2520 - y**5\/60 + 2*y**2. Let m(u) be the third derivative of w(u). Let f(g) = -g**2. What is m(f(v))?\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1440\/(-400)*1*5\/2.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m - 1. Let t(z) = -12*z - 4. Suppose -5*x - 2*r = -24, -5*r + 1 + 5 = -x. Give x*s(w) - t(w).\nAnswer: 8*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 730, 2857, 6402, 11365, 17746, 25545, 34762?\nAnswer: 45397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -474, -434, -394, -354?\nAnswer: -314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*u**3 + 2 + 2 + 5*u - 3*u to the form m*u + d*u**3 + r*u**2 + h and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -h - 459 - 687 + 1146 + 2*h.\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) -450 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4890, -14618, -29182, -48582, -72818, -101890?\nAnswer: -135798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 - -322341?\nAnswer: 322334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 9994 rounded to the nearest one thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 10\/2 - (-1 - 450\/(-99)). Solve 2\/11*u**2 - w*u - 8\/11 + 4\/11*u**3 = 0 for u.\nAnswer: -2, -1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes before 5:28 PM?\nAnswer: 12:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3579b - -1?\nAnswer: -3579a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 15*h**2 - 9*h + 41. Let g(x) = -8*x**2 + 5*x - 20. Let u(r) = -5*g(r) - 3*s(r). Differentiate u(v) wrt v.\nAnswer: -10*v + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12979 - 12970 = j + 2*v, -4*j + 4*v = -12 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 15*o + 8. Calculate y(6).\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*r**2 - 4*r**2 + 4*r**2)*(r + 0 + 0) - 4*r**2 + 4*r**2 + 4*r**3 - 4*r**3 - 3 + 3)*(-r**2 + 8*r**2 + 5*r**2).\nAnswer: -24*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1 - 1559741*r**3 - 28*r**6 + 2781*r**2 + 9*r**5 - 3 + 1559741*r**3 + 89*r**5 wrt r?\nAnswer: -3360*r**3 + 5880*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1249792 and 1774607.\nAnswer: 2441","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 + 6. Let p(i) = -2*i + u*i**2 - 1 + 5*i**2 - 2*i**2. Calculate p(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -33 in -11, 2\/21, 3\/2, -4, 2\/3?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b - 5 - 1. Suppose -3*m + 0 + b = 0. Let u be (-2)\/(-1) - 10\/6. What is the nearest to 2\/3 in m, -2, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -2*k**2 - 24*k - 49. Let d be l(-9). Suppose -2*t - 2*t = -3*n - 6, d*n = -2*t - 10. Do t and 9 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-1)\/4 + 885\/(-36) and -38\/21.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1444999 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3145354?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*k - 17*k - 6*k.\nAnswer: -14*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes after 5:13 AM?\nAnswer: 6:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -8202*i**4 - 49185*i**3\/2 - 49131*i**2\/2 - 16323*i\/2 + 27\/2 = 0.\nAnswer: -1, 9\/5468","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -497*s**5 - 4*s**2 + 15 wrt s.\nAnswer: -29820*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 56580333?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**3 + 2427*f**2 + 8*f - 812. Let z(l) = l**2 + 2*l + 2. Let q(d) = -p(d) + 4*z(d). What is the derivative of q(y) wrt y?\nAnswer: -3*y**2 - 4846*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 164106, 164149, 164256, 164457, 164782, 165261?\nAnswer: 165924","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12075\/91 - 133)\/(0 + (2 - 4) + 6)?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 77 - ((-20 + 10 - -2) + 6 - (3 + -15)).\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1492 is divided by 388.\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 174438 - 174434. Let z = 10 + -54. Which is the second smallest value? (a) z (b) -2 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1233040 - -4323?\nAnswer: 1242413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-5)\/(-7) - (3 + (-46)\/14). Let s = 5 + -8. Sort n, s, 1\/2 in decreasing order.\nAnswer: n, 1\/2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 496 + -2478\/5. Let j be (-2 - -2) + 25227\/(-153). Let y = -165 - j. What is the nearest to u in 2\/11, y, -0.3?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 589 is divided by 148.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 3*z**3 - 4*z**2 + 4*z - 3. Let x = 2 - 0. What is the remainder when h(x) is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*5*(sqrt(133) + -2*sqrt(133))*2)\/((sqrt(14) - sqrt(14)*4)\/sqrt(2) - 2*sqrt(112)) + 2.\nAnswer: -20*sqrt(19)\/11 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 338, 2391, 7466, 17075, 32730, 55943, 88226, 131091?\n\"Answer: 252*r**3 - r**2 + 292*r - 205","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 20 = 12. Suppose -4*z = -5*g - 319, h*g = 5*z + 7*g - 408. What is the greatest common factor of 27 and z?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 30, 57, 84, 111, 138, 165?\n\"Answer: 27*o + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 472079?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 2*i + 3*r + 5, 3*i - 3*r = 0. Let c be i*(-2)\/3 - 0\/(-3). Find the second derivative of -9*w**c - 8*w**2 - 9*w**2 + 7*w wrt w.\nAnswer: -52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -j**4 + 2*j - 2*j + (-2*j - j + 4*j)*(208*j**3 - 88*j**3 - 93*j**3) + 4*j**4 - 7*j**4 + 4*j**4 to d*j**2 + z*j**3 + t + s*j + q*j**4 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*r - 2 - 5*r**2 + 2 - 19*r.\nAnswer: -5*r**2 - 4*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**2 - 13*z - 16. Let m be q(-7). Let p = -26 + m. Suppose p = 7*r - 51 - 96. What is r rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -23*k + 28. Let p be t(-15). Differentiate p - 29*l**4 - 28*l**4 - 425 with respect to l.\nAnswer: -228*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9500, -19045, -28606, -38189, -47800, -57445?\nAnswer: -67130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 119 and 85?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -37*(-275)\/4070*3\/(-1350)*3?\nAnswer: -1\/60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 3*m - 32. Let x(u) = -u**3 - 7*u**2 + 3*u + 24. Let l be x(-7). Suppose m*a = l*a + 204. What is the tens digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 457a4 (base 11) to base 2.\nAnswer: 10000001010000100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 27*m**2 + 7*m - 14. Let y be o(5). Let s = -451 + y. Let u = 390 - s. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85 = -3*p + 77. Suppose 3*r = 2*z - 36 + 92, 2*z = -2*r + p. What are the prime factors of r?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the first derivative of -1 - 1\/9*p**3 + 2\/3*p + 1\/6*p**2. Factor w(z).\nAnswer: -(z - 2)*(z + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6763319909 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -46.983131861 + -0.016872339. Let n = p - -47. Round n to six dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -858 - -17153\/20. Find the common denominator of 53\/8 and c.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 9*((-1)\/3 + 1). Suppose -u*v + 3*v = -45. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 72 + -66. Calculate the highest common divisor of 9 and z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*o = -7*o. Suppose -3*g = -5*s - 0*s + 3, o = g - 4. Solve -a + 5*z = 18, s*a = -0*z - 3*z for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, 3, -54, -1, 0.\nAnswer: -54, -17, -1, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 14723 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 - 246?\nAnswer: -250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**(-12)*b*b*b*b\/(b\/b**(-7)*b*b))\/((b**11*b)\/(b\/b**9)))**28 assuming b is positive.\nAnswer: b**(-364)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/9, -206, 1.6, -1\/3.\nAnswer: -206, -1\/3, 1\/9, 1.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -122101110 + 10100212200?\nAnswer: 2201111020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 5*b - 12. Let j = b + -3. Solve -2*x + k = j, k = -0*x - x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.10393 and 2970.\nAnswer: 2970.10393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:32 PM and 7:35 PM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b\/((b\/(b*(b*(b\/(b**49*b))\/b*b)\/b))\/b)*b*b))\/b**(-6\/11) assuming b is positive.\nAnswer: b**(512\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**24\/h*(h\/(h**(-2)*h*h))\/h assuming h is positive.\nAnswer: h**23","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*t + 8*t - 18*t.\nAnswer: -4*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.068976 + 0.022975. Round r to 3 dps.\nAnswer: 0.092","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*o + 0*o - 2*o - o - 18.\nAnswer: -o - 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the third derivative of 7*o**4\/12 - 35*o**3\/6 + 10*o**2. Is w(12) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 + -8. Let k(z) = 6*z**2 + 2*z**3 + 3*z - 3 - z**3 + h*z**3. Is k(-5) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13, 26, 39, 46, 41, 18, -29?\nAnswer: -106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 153.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10 - 6. Let j(u) = u**3 - 13*u**2 - 15*u + 13. Let v be j(14). Put t, v, 2 in decreasing order.\nAnswer: t, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3.49 - -3.29. What is the closest to 0.1 in 0.3, -0.49, c?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17908.4 millimeters to kilometers.\nAnswer: 0.0179084","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/(102\/(-175)) - -5. Which is smaller: o or 0?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 2*f = -3, 0*b - 1 = b - f. Let u(y) = -7*y**2 + 2*y + 1. Determine u(b).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is d90665d - -2?\nAnswer: d906661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42074.\nAnswer: 2, 109, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 3 and 0.05826?\nAnswer: 2.94174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 4, v: 1, j: 11, w: 3}. Give prob of picking 1 j and 1 w.\nAnswer: 11\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 28.0965214 to 1 decimal place.\nAnswer: 28.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (26\/13)\/(3*8\/(-12)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12 - 8. Let u = -0.8 + 1. Let x = -4 + 4. Which is the biggest value? (a) x (b) u (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 2\/145, 98, -2?\nAnswer: 2\/145","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/8 of a litre?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-75 - 32*z + 75)*(z - 48*z + 7*z).\nAnswer: 1280*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2178) - 1*sqrt(2178)*-2 - sqrt(2178))\/((sqrt(1512) - (sqrt(1512) + sqrt(1512)*-1))\/sqrt(7))*5.\nAnswer: 55*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1513 - -1?\nAnswer: -1512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(128) - (sqrt(128)*-1*-6 + sqrt(128)))**2 + 1 + -1*((5*(1*sqrt(128) - sqrt(128)))**2 + 2*(sqrt(128) + 0)**2))*5.\nAnswer: 21785","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.05 in -801, -6, 115\/7?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 30\/14 - (-3)\/(-21). Let b be (2 - 23)\/(y\/(-2)). Suppose r - 5 = b. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -175*s + 18. Let u(x) = -591*x + 27. Let l(m) = -169*m + 8. Let y(b) = 18*l(b) - 5*u(b). Let g(r) = 3*n(r) - 5*y(r). What is the tens digit of g(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -0*z + 451146. Let h = -650382 + z. Round h to the nearest one hundred thousand.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 - (-12 + 17 - 11)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 83426 is divided by 24.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4925564 litres to millilitres.\nAnswer: 492.5564","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*u - u, 6*j - 121925 = j + 5*u. Is 155 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1*(-2)\/(-4)*68047000\/(-25). What is m rounded to the nearest 10000?\nAnswer: 1360000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 6*i = 24. Suppose 0 = 4*m - i - 4. Suppose b = m*b - 81. Calculate the highest common divisor of b and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2010011 - -101001121?\nAnswer: 21221110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:18 PM and 5:13 PM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/9*(-6)\/(-8)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 892911 to the nearest integer?\nAnswer: 945","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -0*z + 14. Suppose z*g - 15 = 2*g. Factor -5*q**2 + 0*q**g + 4*q**2 - q**3.\nAnswer: -q**2*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1925, 11171, 36267, 85139, 165713?\n\"Answer: 1321*k**3 - k**2 + 2*k + 603","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/4)\/(31\/(-124))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 23 = 2*h + 19*u - 17*u, 0 = 3*u - 6 for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (147 + 157 + 138)*(1 - 5 + 3)*(-2*r - 3 + 3)*(5*r - 2*r - 2*r) to the form z*r**2 + n + o*r and give z.\nAnswer: 884","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one ninth of a week?\nAnswer: 1120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**2 - 13*u - 20. Let p be n(-11). Suppose 4*x = -p*x - 66. Which is greater: x or -12?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.3 (b) -203 (c) 2\/125 (d) 4\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 19 + -16. Put -6, o, -2 in descending order.\nAnswer: o, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 52.9 + -69. Let r = 16.1000054 + j. Round r to six dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1653459?\nAnswer: 3, 103, 5351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/9 - ((-11225)\/(-675) - 16)?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2222158.9 rounded to the nearest one hundred?\nAnswer: -2222200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(4 + 0 + (-2 + (sqrt(132) - (sqrt(132) - (2*sqrt(132) - sqrt(132))))\/sqrt(12) - -2*(sqrt(11) - (sqrt(11) + 0 + 2)))**2).\nAnswer: -12*sqrt(11) + 51","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1795 is divided by 887?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**4 + 2*j**3 + 2*j**2 + 2*j - 14. Let a(k) = 5*k**4 - 9*k**3 - 9*k**2 - 9*k + 57. Let x(b) = 2*a(b) + 9*h(b). Differentiate x(w) wrt w.\nAnswer: 4*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 4, -13 in decreasing order.\nAnswer: 4, 3, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes after 10:03 AM?\nAnswer: 3:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -19739 * 0.3\nAnswer: -5921.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.5182 - 1.637081. Let j = -0.10488 - h. Let p = -0.014 + j. What is p rounded to seven decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3182?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 58\/247 and ((-8635)\/(-429) + -23)*4\/(-21).\nAnswer: 2223","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 136487 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(2\/3)*p)**(-28\/5)\/((p\/((p**(-1)*p)\/p))\/(p**6*p)) assuming p is positive.\nAnswer: p**(-13\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 2 b when four letters picked without replacement from uzbqbobzbbbzaqqzz.\nAnswer: 9\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 454 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1\/4)\/d)**(17\/5)*d**(-10\/3)*d**9 assuming d is positive.\nAnswer: d**(17\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1403143434 (base 5) to base 12.\nAnswer: 124120b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 87436556 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 - 1 = -6*d. What is the remainder when d is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.02 (b) 2\/5 (c) 5\/4 (d) -160.8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60328568.\nAnswer: 2, 97, 77743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = j - 4. Let u = -3 - j. Let m be 2 - 4*(u - -1). Solve 4*c = -m - 6 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1053)*-2*-6 + sqrt(1053) + -2 + -4 - (-4*-3*sqrt(1053) + sqrt(1053))*-3)**2.\nAnswer: -5616*sqrt(13) + 2847348","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 686087, 2744420, 6174977, 10977758, 17152763, 24699992?\nAnswer: 33619445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes before 6:14 PM?\nAnswer: 2:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 197044.\nAnswer: 2, 49261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -2099 times -0.5?\nAnswer: 1049.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (10 - 40) - 9.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 20.8 + -20.9. Let q = 0 + 0. Let a be 2 + -3 + 0\/1. What is the closest to a in k, q, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 12 = -2*x, p + 11 + 0 = 3*x. Suppose 4*d = -5*b, -x*b + b - 12 = 4*d. Sort 2, b, -5.\nAnswer: -5, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -2220*i + 4499. Determine t(2).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 507 + -503. Is x equal to 228\/91?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 - 1 + (-2 + 5 - 1)*(-4 + 4 + 4))*(3*q - q + 0*q) to h + c*q and give c.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vsfv when four letters picked without replacement from nfvvs?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -14*i**3\/3 + 68*i**2\/3 + 94*i\/3 + 4.\nAnswer: -2*(i - 6)*(i + 1)*(7*i + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 264 and 297.\nAnswer: 2376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*f**(-3\/2)*f**(-3)*(f*f**(2\/13)*f*f)\/(f*f*f*f\/f**(-2\/41)*f) assuming f is positive.\nAnswer: f**(-5751\/1066)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**3 - p**2 - 5*p - 3. Let u(q) = -q - 8. Let m be u(0). Let a = m + 12. What are the prime factors of o(a)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 12\/(-4)*-1 - 80. Is (w\/21)\/((-2)\/6) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*f**2 + 323*f - 323*f in the form h*f**2 + u + y*f and give h.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.1164 - -0.1164. Which is the closest to 3\/5? (a) h (b) 0.4 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, -0.01, -3, -33?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 3*w - 49 = -2*w, 3*t + 31 = -w. Let s be (t + 3 - -3) + 8. Solve 0 = -h, 4*y - h = -s*h for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the third derivative of -u**7\/735 - u**6\/60 - u**5\/14 - 13*u**4\/84 - 4*u**3\/21 + 3*u**2. Let j(c) = 0. Calculate c.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**3 - 4*v**2 - v + 5. Let y be u(4). Let l = y - 6. Let j = 6 + l. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p**3\/4 + 663*p**2\/2 + 1323*p\/4 = 0. Calculate p.\nAnswer: -441, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -70*p**2*z**3 + 356159*p**2*z - 7*p*z**3 + p + 1773*z - 114 wrt p.\nAnswer: -140*z**3 + 712318*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -4 + 2*o + 0 - 3*o. Let n be a(-3). Let c = 43 + n. Is 14 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -9 - (0 + -6) - (-1 + -7). Solve n = f + 4*n - 8, 0 = f + w*n - 10 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4987935 to the power of 1\/3, to the nearest integer?\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 110*i**2 - 405*i**2 - 53*i**2 - 147*i**2 - 194*i**2 as z*i**2 + p + k*i and give z.\nAnswer: -689","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11446?\nAnswer: 2, 59, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -406125.\nAnswer: 1\/406125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2731165519.\nAnswer: 59, 46290941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*p**2 - 3*p + 9*p**2 + 3*p.\nAnswer: 7*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 31 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 48 = -5*p. Calculate the highest common factor of 48 and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7 + m - 50 + 26 as y + r*m and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 50 = 3*w. Let o(c) = -c**2 + 3*c + 5. Let s be o(3). Suppose 5*f + s*m = w + 25, 0 = -5*m + 15. Solve -2*k + f = -2 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes after 4:50 PM?\nAnswer: 2:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2140552 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4291\/4 + 1059. What is the common denominator of 83\/8 and a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9, 9, -1, -27, -75, -151, -261, -411?\nAnswer: -607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -149 times 0.059?\nAnswer: -8.791","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 80*p + 991*p - 9639 for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18919 is divided by 51?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 18 + 22 + 5 + -11.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2574, -20660, -69750, -165342, -322934, -558024, -886110, -1322690?\nAnswer: -1883262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 114 and 787\/6 + (-215)\/(-258)?\nAnswer: 2508","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 2*z - 5. Let j be h(4). Let a(l) = 4*l + 3. Let i be a(6). Suppose -4*b = o - 29, -j*o = -0*o - 3*b - i. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 27*r. Let o(l) = -2*l**2 + 93426*l - 7. Determine o(a(c)).\nAnswer: -1458*c**2 + 2522502*c - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -364*u + 12848 = 1118*u - 26428 - 70392 for u.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*g**2 - 229*g - 6*g**2 + 10*g**2 + 5*g**2 + 232*g.\nAnswer: 13*g**2 + 3*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -245507.4 take away -0.4?\nAnswer: -245507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 4, e: 2, d: 1, v: 1}. What is prob of picking 1 v and 1 e?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21080304 divided by 5270076.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*d*((d**(-5)*d)\/d)\/d*d*d*d**(1\/19)*((d**(1\/16)\/d)\/d)\/((d*(d*d**(1\/11)*d)\/d)\/d) assuming d is positive.\nAnswer: d**(-16639\/3344)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/4 (b) 0.3 (c) 0.3071712\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3455, -146, 0.1?\nAnswer: 3455","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*p = 2165 + 5530. Is 19 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from boeoobbbeebe. Give prob of picking 3 e and 1 b.\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the third derivative of -z**8\/1680 - z**7\/70 - 3*z**6\/20 - 9*z**5\/10 - 11*z**4\/24 - 5*z**2. Let j(o) be the second derivative of n(o). Factor j(x).\nAnswer: -4*(x + 3)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 92*c + 17. Let n be z(3). What is the third derivative of 226*l**5 - 35*l**2 - 598*l**5 + n*l**5 wrt l?\nAnswer: -4740*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*k - 4*k - 2*k**3 + 2*k + 3*k**2 - 2*k + 2 - k**4 to the form n*k**4 + i + c*k + j*k**2 + x*k**3 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 296 in -2, 328, 5?\nAnswer: 328","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**2 + 13*b. Suppose -10 = -j + 3. Let k be x(j). Let a(u) = -4*u + 25. Calculate the remainder when 46 is divided by a(k).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -11 equal to -43305\/4154?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -d + 4. Let u be -4 + 7 + -4 - d. Let s = -1708 + 1708.2. Sort -2\/9, -7, s, u in ascending order.\nAnswer: -7, -2\/9, s, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 55374 and 3042?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n + 4*n + 2. Let m(o) = o**3 - 10*o**n + 15*o - 7 + 2*o**2 - 3*o**2. Is m(10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 819717 is divided by 162.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the second derivative of o**4\/12 - o**3\/3 - o**2\/2 - o. Let s(p) be the first derivative of p + 539. Give -m(c) - s(c).\nAnswer: -c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 22\/135 and -155\/756.\nAnswer: 3780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 281 + -23670?\nAnswer: -23389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1b81 (base 15) to base 2.\nAnswer: 1011101010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 69.042003 rounded to one decimal place?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*d + 588 = -1887. Calculate the greatest common divisor of 240 and d.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5301 by -1767.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84*i = 202 + 134. What is the closest to 1 in -3\/4, 125, i?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 27071209*i**3\/5 - 20812*i**2\/5 + 4*i\/5.\nAnswer: i*(5203*i - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -325*g**2 - 232*g**2 + 759*g**2 - 202*g**2 - g**3.\nAnswer: -g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*g**2*n - 4*g**2 + 4*g*n + 8*g - 1486*n + 187 wrt n?\nAnswer: -3*g**2 + 4*g - 1486","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (9706 - 9706 + 32*d)*(-2 + 3 + 1)*(0 + 3 - 2) as n*d + j and give n.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes after 6:20 AM?\nAnswer: 7:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 3*p = 3, -2 = -4*w + 2*p + 2. Suppose -9 = 5*o + 2*b - 34, w*b = 0. Suppose 10 = o*v, 3*q - 102 = -q + 5*v. Does 14 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 40 = -13. What is the remainder when a is divided by (11\/(44\/(-24)))\/((-4)\/18)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -ab44 - -11d?\nAnswer: -aa25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d = -12*y + 1, d + 36345 = 5*y + 36344 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**3 + 9*m**2 - 37*m - 160. Let p be n(-11). Solve f + k = -2, -f - f = p*k - 5 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7743 is divided by 1662?\nAnswer: 1095","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8934294 and 1962.\nAnswer: 26802882","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-14)\/21)\/((-12)\/27).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(1\/4)\/(q\/(q\/(q\/(q\/q**8))))*(q**(-1))**14 assuming q is positive.\nAnswer: q**(-87\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -224819650, -899278609, -2023376874, -3597114445, -5620491322, -8093507505?\n\"Answer: -224819653*t**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -2 - -20) + (-11 - -11)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 371858 to the power of 1\/3, to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 149503 is divided by 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -666, -676, -688, -702, -718, -736, -756?\n\"Answer: -l**2 - 7*l - 658","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(896) + (2*sqrt(896) - sqrt(896)) + sqrt(896) + sqrt(896) - (sqrt(84)\/(sqrt(6)*1) + sqrt(14)))\/(sqrt(1008) + -5*-1*sqrt(1008)).\nAnswer: 5*sqrt(2)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 1 o when three letters picked without replacement from {u: 3, o: 7}.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yh when two letters picked without replacement from {y: 7, h: 5}.\nAnswer: 35\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 52*v - 347 + 450 + 989 for v.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4 - -3) + 5 - 1. Solve -9*v = -8*v - l for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssssssssss. Give prob of sequence sss.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -234*b + 1956. Calculate the remainder when 278 is divided by v(8).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.11171*0.5.\nAnswer: -0.055855","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add -3.5258 and 8.548.\nAnswer: 5.0222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/4)\/(9\/90)*-1?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1036 and 924?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -30.6 - -30.5999953. Round n to six dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:05 PM and 11:23 PM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 24 = u. Suppose 4*i + u + 0 = 4*j, -2*j = -3*i - 9. Let h = i - -8. Is h even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15728 - 14940. List the prime factors of k.\nAnswer: 2, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7120 divided by 1780?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4668 is divided by 2278.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -54*k**3 + 55*k**3 + 0*k**2 - 4*k - 2*k**2 to the form i*k**3 + y*k**2 + l*k + h and give l.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -98 - -204. Calculate the common denominator of 246\/56 - 2\/8 and z\/(-10) + 8\/20.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4 - -4) + 0 + (-116)\/(-2). Let g = 159 - o. Is g a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(-1))\/(((a**(-6)\/a)\/a)\/a*a))\/(a**12\/((a\/a**(-3))\/a)) assuming a is positive.\nAnswer: 1\/a","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**2 + 2. Let b = -8 - -4. Let m = -4 - b. Does 2 divide w(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (2 - (-5 - -4))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21 + 2*b + 18 - 150 + 2 + 93 + 16.\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, q: 2, j: 1, a: 3, d: 4}. Give prob of sequence dqra.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the first derivative of -o**4\/3 - 2*o**3\/3 - 6*o + 3. Let s(n) be the first derivative of d(n). Find u, given that s(u) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 756 and 108?\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j when three letters picked without replacement from jtjj?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.152 + 1. Let n = k - -0.047. Round n to two dps.\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 168 = 4*a + 3*q, 0*a + 3*a = -4*q + 133. List the prime factors of a.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*p + 10*p = 341205. What is the second derivative of 212*u - 14835*u**2 - u**4 + p*u**2 - 10*u**5 wrt u?\nAnswer: -200*u**3 - 12*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the first derivative of 13*x**3\/12 - 89*x**2\/8 - 7*x\/2 - 440. What is o in v(o) = 0?\nAnswer: -2\/13, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 4, o: 2}. What is prob of sequence iio?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k + 10. Let m be g(8). Let v be (-8)\/m*(-20)\/(-16). Let s = v + 10. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -782.1 - -821. Let a = x - 39. Let t = 6.03 + -6. Which is bigger: a or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -8675, -8689, -8703, -8717, -8731?\n\"Answer: -14*c - 8661","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/5 of a litre in millilitres?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z - 4*z = 3*n - 651, -12 = -4*z. Is 22 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -362*s**5 + 2*s**3 - 2*s + 260.\nAnswer: -7240*s**3 + 12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the second derivative of -h**3 - 7*h**2 + 561*h. Let k(g) = -g. Determine k(p(u)).\nAnswer: 6*u + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (12\/(-7))\/(2\/14). Let i be 0*4*(-1)\/m. Suppose -u + 2*g + 10 = i, 4*g = -u + 25 - 3. What are the prime factors of u?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 1\/5*k**3 - 66\/5*k + 7*k**2.\nAnswer: -k*(k - 33)*(k - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 13238744*d**3 - 5367*d**2 + d - 141?\nAnswer: 79432464","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 800 a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 + 7. Find the common denominator of (-26)\/((-36)\/(-15) + 0) and (-8)\/g + (-47)\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -5, -2, -825, -38, 1 in descending order.\nAnswer: 1, -2, -4, -5, -38, -825","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7 - 55 + 25)*(6*p + 3 - 3) in the form i*p + g and give i.\nAnswer: -222","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(539) + (sqrt(539)*1*-3 - sqrt(539)) + sqrt(539))*-1 + -3 + -5)*3 + -1.\nAnswer: -25 + 252*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 5 = -0*f. Let n be -1*(-3 - (7 - 2 - 3)). Put f, -3, n, 3 in ascending order.\nAnswer: -3, f, 3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -36 + 2. Let l = p + 237. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 143407853.\nAnswer: 143407853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*i**2\/3 + 2*i\/9 - 14\/9.\nAnswer: 2*(i - 1)*(6*i + 7)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*n**2 - 4*n**2 - 7*n**3.\nAnswer: -7*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -3613 (base 13) to base 14\nAnswer: -2ac5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 448, 3840, 13050, 30988, 60564, 104688, 166270?\nAnswer: 248220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-16)\/40*(-1 - 9). Suppose 0 = 5*u - 5. Let f be (-28)\/(-16) + u\/k. Is 1\/6 equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24377*j**2 - j + 25721*j**2 + j.\nAnswer: 1344*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -9*c + 3. Let t be 206\/(-14) - 32\/112. Let h be (1\/(-3))\/(1\/t). Determine z(h).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 + -75?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -288309219\nAnswer: -288309218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -5*h**2 - 2*h - 3. Let t(a) = -24*a**2 - a - 10. Let l(j) = -36*j**2 - j - 15. Let i(f) = 5*l(f) - 8*t(f). Let p(g) = 2*i(g) + 5*n(g). What is p(-5)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yt when two letters picked without replacement from yytttttttttttttttttt?\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((6\/(-4))\/(-1))\/((-132)\/(-45232))?\nAnswer: 2, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -12*a + 1. Let z be v(2). Let r = -40 - 5. Let p = z - r. List the prime factors of p.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**3 + 28*d**2 + 24*d - 54. Calculate u(-27).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 42948.02947 + -42949. Let d = f - -0.97. What is d rounded to four dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -39, 9, -1, -13?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2160 = 12*n - 8*n. Let i(w) = w**3 + 6*w**2 + w + 9. Let s be i(-7). Calculate the common denominator of (-6)\/(-10) - (-78)\/n*s and 163\/30.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 177751421?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -2\/3, 1\/16, 3\/8, 5, -5 in descending order.\nAnswer: 5, 3\/8, 0.1, 1\/16, -2\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 14692284 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/396? (a) 1 (b) -0.05 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 17*a**2 + 1. Let s(r) = -31*r**2 - 2. Calculate -11*c(q) - 6*s(q).\nAnswer: -q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sfffnhfmhphnhnnnf. What is prob of sequence phhh?\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**3 - 6*g**2 + 6*g - 6. Let f be y(5). Let w = -68 - -67.8. Which is the nearest to w? (a) f (b) -3\/5 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 13 + 9 = -5*s, 0 = -4*s - 5*f - 4. Let q(g) = 2*g + 12. Let z be q(s). Let m(l) = -l + 0 + l**3 + 4 - 8 - 3*l**2 + z*l. Give m(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = 4*y - 2176, 3*a - 9*y - 1642 = -14*y. What is the remainder when a is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i - 48 + 96. Let w = i - 17. Let y = 761\/247 + -60\/19. Is w != y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 - 3)*1\/2. Calculate the remainder when 50 + m\/(-2 + 3) is divided by 25.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 13 - 7*x - 2 - 3*x**2 + 2. Let j(q) = 2*q**2 + 5*q - 9. Calculate -7*j(y) - 5*n(y).\nAnswer: y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -2*i**2 + 2. Let g(q) = -q - 7 + 1 - 2. Let r be g(-6). Let f(z) be the third derivative of z**5\/30 - z**3\/3 + z**2. Determine r*f(l) - 3*b(l).\nAnswer: 2*l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1, 0.15, -31 in descending order.\nAnswer: 0.15, -1, -3, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 5038 = 4*l, 56*l - g = 57*l - 1246. Is 202 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54\/(-162)*(-11 + -98116) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 27417302 and 616?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 = -2*q + 5*k, 2*k + 85 = 5*q - 50. Let a = -10 + q. Is a a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -378 at most -371?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 31, 14, 0.003, -1, 4 in decreasing order.\nAnswer: 31, 14, 4, 0.003, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:28 PM and 1:06 AM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -20*k**2 + 232912*k + 93168 = 0.\nAnswer: -2\/5, 11646","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 550.9898 grams to nanograms.\nAnswer: 550989800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4.247 - -4.259368. What is m rounded to three decimal places?\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.27 + -1.47. Let r be (1 - -1)*(-33)\/6. Let k = r - -79\/7. What is the smallest value in v, k, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19860063?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 11781896 to the power of 1\/3, to the nearest integer?\nAnswer: 228","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 102 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 18\/30 + 411\/140. Let t = 13\/4 - w. Are t and -2\/7 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 870567 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1100 (base 2) to base 4.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -11*f - 245. Give u(-34).\nAnswer: 129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 566 - -263?\nAnswer: 7c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 162?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -169\/22228320 and -64\/35?\nAnswer: 155598240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**2 - l + 351. Let o be h(0). Suppose -4*m - c + 107 = 0, 4*m = m + 5*c + 86. Calculate the highest common factor of m and o.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1434\/(-66) - 22\/(-1)) + (-4)\/12?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 - 3\/(((-3)\/(-3))\/(-4)). Suppose 49*z = 50*z - k. Suppose 8*p - 4*p = 248. Calculate the remainder when p is divided by z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4*(2 + 0)*1. Let p = c + -4. Let l(o) = -23751*o + 4. Let m be l(p). What is m rounded to the nearest 10000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 576 a factor of 62304?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 1 = -20*l + 19*l, 0 = -l + 5. Factor -1\/4*o + 1\/4*o**v + 0.\nAnswer: o*(o - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20, 34, 48, 62, 76, 90?\nAnswer: 104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -8*((-1)\/1)\/4. Suppose n*p = -p. Which is bigger: p or -2\/121?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.4, 552, 0?\nAnswer: 552","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 2*k = -3*m + 6, -5*m = 4*k - 14. Suppose -6 = -p - 4. Suppose 0 = -m*n + n + p. Solve -n = -6*g + 4*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 17*q**2 + 406*q - 52. Give o(-24).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7 * -52.\nAnswer: -364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-54)\/126 + ((-150)\/182)\/(-3)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 15 from 281.72263426059.\nAnswer: 266.72263426059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6827\/204 + -7\/204. Find the common denominator of q and 588\/(-35)*(-3)\/16.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 18\/5 of a litre?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 879.048 centuries?\nAnswer: 87904.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*c**2 - 3*c + 3*c + 136*c**2 + 231*c**2 + 29*c**2 + (c - 1 - 2*c + 0*c)*(0*c - 3*c + 4*c).\nAnswer: 397*c**2 - c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1640 is divided by 523.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 91520 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: List the prime factors of 125982.\nAnswer: 2, 3, 2333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the second derivative of -s**5\/20 - 7*s**4\/12 - 2*s**3 - 5*s**2\/2 + 15*s. Let f be g(-5). Suppose -318 - 122 = -f*v. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 2*o + 3. Let v be g(3). Let m(d) be the third derivative of -d**4\/24 + 2*d**3\/3 - d**2. Let f be m(v). Put f, -0.2, 2\/7 in increasing order.\nAnswer: f, -0.2, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 25\/2 of a hour?\nAnswer: 45000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2527398 - -1530912. Suppose -2*p = -3*b - 5*p + 7699473, 5*b - 2*p - 12832420 = 0. Let y = b + o. Round y to the nearest one hundred thousand.\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 222\/(3 + 0) + -1. Let m = 130 - n. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 234, 11 in decreasing order.\nAnswer: 234, 11, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -116, -78, 2\/7, -1\/11?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d - 3*d - 10. Let a(n) = 4*n**2 - 3*n - 2. Let s be a(d). Suppose 0 = -0*c + 4*c - s. Solve -c*v + 18 = -7 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**3 - 8*u**2 - 4*u - 11. Let p be -8 + (-2 - 6\/(-3)). What is the remainder when x(p) is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000049244 to 7 decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -4 - 7\/((-21)\/12). Let i(n) = n**3 - 7*n**2 + 18*n - 40. Let q be i(5). Solve 3*g - 6 = q, j = -4*l - 5*g + 1 + 29 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3 - 7 - (-68)\/18. Let s = -3 - -4. Which is smaller: c or s?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 5*m + 5*m + 6*m**2 - m**3 - 5*m + 11 + 0*m**2. Let k be t(7). What is the units digit of (k\/(-12))\/((-1)\/(-124))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the third derivative of n**5\/30 - 7*n**4\/24 + n**3\/3 + 14*n**2. Let j(l) = -14*l + 1. What is the remainder when j(-2) is divided by p(5)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25304991 divided by 257.\nAnswer: 98463","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (2\/6 + 1)*-12*-4 is divided by 19.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0109724216 rounded to five decimal places?\nAnswer: 0.01097","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes before 6:14 PM?\nAnswer: 7:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -341 - -341.197. Let u = -0.358 + n. Let x = u - 0.039. What is the second biggest value in x, -2, 2\/9?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -23.99 + 24. Let q = 0 + j. Which is the second biggest value? (a) -1\/4 (b) q (c) -2\/5 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58395*r + 57803*r + 19536 = 0 for r.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 510*l - 515*l + 773 = -3*r, 0 = r - 4. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -1164025*i + 726. Is x(-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0, 27724, -2\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9.4 + -9. Let y = s + -0.3. Which is the closest to 0.1? (a) 3 (b) y (c) -0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 235945.\nAnswer: 5, 47189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b + 1 - 1)*(-5 + 3 + 0)*(-38 + 322 + 41).\nAnswer: 650*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrbb when four letters picked without replacement from {r: 2, h: 6, b: 4}.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 - 1)*(5*w - 16 - 1 + 15).\nAnswer: -20*w + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -15142 - 255355?\nAnswer: -314541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12 - 8) + -7 + (-2 - -2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 401, 323, 191, 5, -235, -529, -877?\nAnswer: -1279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-899)\/(-62))\/((-1)\/3600). What is the tens digit of (4\/6)\/((-80)\/a)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2916) - sqrt(2916)*-2 - sqrt(2916))\/((sqrt(132)*-2 + sqrt(132))\/sqrt(11)).\nAnswer: -18*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/x**(5\/4))\/x*x)\/(x*x**(-1\/2)))\/(x**33*(x*x**(-3\/19))\/x) assuming x is positive.\nAnswer: x**(-2553\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkwkkkkwkkwwkkkkww. What is prob of sequence wkwk?\nAnswer: 11\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the second derivative of -o**6\/360 + o**5\/120 - o**4\/8 - o**3\/3 - o. Let n(t) be the second derivative of i(t). Suppose 0*w + 2*w = 0. What is n(w)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3227 less than -0.4?\nAnswer: -0.0773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-3)*24\/(-16)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8657 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (34\/(-20))\/(37560\/(-900)) and 87\/10.\nAnswer: 6260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11.809 + 0.309. Let g = -11.3 - t. Let y = 2\/31 + 13\/279. Which is the biggest value? (a) g (b) -2 (c) y (d) -1\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4\/3 + 1. Which is bigger: l or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - 2 = 5*z, -5*z - 3*r - 7 = -5*r for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 321699 is divided by 107212.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 + 7.09. Let h = 0.81 + b. Which is smaller: -0.06 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9 and 8043?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**2 - 1293153*g.\nAnswer: g*(g - 1293153)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (6\/(-4))\/((-12)\/(-576)). Let j = -29 - -17. What is the units digit of 682\/12 + j\/b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**3 - 10*s**2 + 13*s - 12. Let h be m(9). Let q = -17 + h. Solve -g + 4*g = f + q, -17 = 4*f - g for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -205 - -200. Find the common denominator of 2 + 1623\/(-378) - (2 + t) and 53\/60.\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 118748947 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 43669 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -430*m**2 + 2 + 164*m**2 - 3 + 2*m - 526*m**2 - 233*m**2 as h*m + b + q*m**2 and give q.\nAnswer: -1025","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - a = -21, -4*s + 7*a = 8*a - 47. Sort 5, s, -2 in ascending order.\nAnswer: -2, 5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5cb0a + 1?\nAnswer: -5cb09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 3, n: 5}. What is prob of sequence wnn?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(78) + (1*sqrt(78)*-3 - sqrt(78)))\/(sqrt(486)*-2) - (sqrt(78)*-1*1)\/(-2*sqrt(726))) + -4.\nAnswer: -4 + 4*sqrt(13)\/33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -225421 (base 8) in base 9?\nAnswer: -126017","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.01 and 76749099.\nAnswer: -767490.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 140*z**2 + 17*z - 17. Let h(c) = 47*c**2 + 6*c - 6. Determine -17*h(y) + 6*j(y).\nAnswer: 41*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 216903?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) 6 (c) -2\/15 (d) 368\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 83 + -60. Suppose -19*g + k*g = 4. Solve -5*i - 14 = g for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 2*t**2 + 53*t + 75. Let c be b(-25). Let x(w) = w - 1. Let s(u) = -2*u + 21. Let q(d) = -s(d) - x(d). Give q(c).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -38 - -72. Suppose 12*w - 310 = 7*w. Suppose w = -33*t + o*t. What is the remainder when 245 is divided by t?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 489979230 to the nearest integer?\nAnswer: 788","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 824714?\nAnswer: 2, 11, 19, 1973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8333.472 nanometers to kilometers.\nAnswer: 0.000000008333472","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26600 = 20*h - 133540. What is the hundreds digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**2\/j)**50)**29 assuming j is positive.\nAnswer: j**1450","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -17782 or -17781?\nAnswer: -17782","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1.25 (b) -27 (c) 15 (d) -2 (e) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 853138606 to the power of 1\/3, to the nearest integer?\nAnswer: 948","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -935 + 6903. What is the third derivative of 6051*b**3 - o*b**3 - 8*b**2 - 6*b**2 wrt b?\nAnswer: 498","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 102 + -107. Let g(q) = -4*q**2 + 12*q - 8. Let x(i) = 8*i**2 - 24*i + 16. Let m(w) = p*g(w) - 2*x(w). Factor m(u).\nAnswer: 4*(u - 2)*(u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes before 1:17 PM?\nAnswer: 1:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*z**2 - 14*z + 35*z - 23*z + 3*z.\nAnswer: 19*z**2 + z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 409.8349 decades to centuries.\nAnswer: 40.98349","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 57404769, 114809534, 172214299, 229619064, 287023829?\nAnswer: 344428594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 3 = 6. Let d(l) = -1 + 4*l - 2*l**2 - 5 - 2*l**2 + 0*l**x + l**3. Let m be d(4). What is the greatest common factor of m and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -700847*j**4*u - 8*j**2*u - j**2 + 1534*j*u wrt j.\nAnswer: -16820328*j*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2332 - -2001?\nAnswer: 10333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 72 + -66. Let h(w) = w - 6. Let r(v) = -2*v + 12. Let f(n) = 5*h(n) + 2*r(n). Give f(o).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = 2*o - 10. Let v = 9 - o. Solve 0 = -j + 3*j - 3*l + 9, v*l - 5 = 5*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9876, 9902, 9932, 9966, 10004, 10046, 10092?\nAnswer: 10142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -414 - -410. Let p = 2.059 + -0.059. Which is the nearest to -1\/3? (a) m (b) p (c) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 40, -41, -302, -827, -1700, -3005, -4826, -7247?\nAnswer: -10352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2592\/(-3024))\/(6\/(-238)). Suppose -3*m - 4*i = -15, 0 - 25 = -5*m + 5*i. Suppose -m*l + 8 + 162 = 0. What is the highest common divisor of l and f?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5247656 (base 8) to base 12.\nAnswer: 5742ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/21 + (-1544)\/(-14). What is the greatest common divisor of 22 and m?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the second derivative of 5*f**3\/6 - f - 1. Let o(s) = -1797*s + 3 + 1788*s - 3. Give b(o(i)).\nAnswer: -45*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that q**5\/2 - 339*q**4\/2 - 341*q**3 - q**2 + 681*q\/2 + 341\/2 = 0.\nAnswer: -1, 1, 341","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**3 + 12*j**2 + 40*j + 118. Let b be y(-9). Solve -z - 4*d - b = 0, 11*z - d = 9*z - 11 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 333 = 4*k - 259. List the prime factors of k.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**2 + 4*m. Let r(i) = -i - 14. Let x be r(-16). Suppose 4*q = -3*v + 14, -5*q - x*v + 17 = 2*v. Determine k(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 812 = 9*h. Calculate the remainder when h is divided by 16.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 531981496 to the nearest integer?\nAnswer: 810","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 4456719, 17826887, 40110501, 71307561, 111418067, 160442019, 218379417?\n\"Answer: 4456723*c**2 - c - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 109\/865522 and 8\/222973.\nAnswer: 658662242","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 128895 is divided by 831?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 + 5 = -5*q. Let x(z) = 3*z - 7. Let b be x(3). Differentiate -5*c**b + 1 + 1 + 3*c**q wrt c.\nAnswer: -4*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000001933 rounded to seven dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -909*s + 463*s - 42 = -453*s for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 957658829 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:30 AM and 9:12 AM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -808*y + 114. Suppose -3*m - 2*m + 1670 = 0. Calculate the remainder when m is divided by f(0).\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 635 + -648. Put -6, 2, 1, c in ascending order.\nAnswer: c, -6, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000001111 + 111010101111011011000?\nAnswer: 111010101110011001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the third derivative of -3*w**8\/112 - w**4\/3 + 10*w**2. What is the second derivative of y(n) wrt n?\nAnswer: -180*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -155760 divided by -176?\nAnswer: 885","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5.1756 + -1.0676. Put v, 3, 2\/9 in ascending order.\nAnswer: 2\/9, 3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3731 - -190267\/51. Let r = -3484\/17 + 205. Let g = y - r. Which is greater: 0 or g?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -253 + 267. Solve 0 = 9*g - 2*g + b for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -386 (b) 0.5 (c) 8 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 52937 = -5*b, 2*b - 10*r - 21170 = -8*r. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 287*c + 59980 = -289*c, -5*g + c - 299845 = 0. What is g rounded to the nearest ten thousand?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -112.6, -7, 0.3, 31?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(7)*1)**2 + 4.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 277718?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*z + 0*z - 2*z)*(-7 - 2 + 2)*(2 - 1 + 1 + 2 + 0 + 1 + (-3 + 3 + 2)*(5 - 3 - 3) + 0 - 4 + 2) to the form n*z + c and give n.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/15? (a) -3\/8 (b) 0.9 (c) 1.3 (d) -0.22 (e) 1 (f) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (15\/8 + -3)\/(3\/(-4)). Suppose 5*i - 5*q = 20, 3*i - 5*q - 16 = -i. Let t be i + (1 - (3 + 0)). Is u > t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4\/8)\/(2\/4). Let o(d) = 19*d**2 + 2*d - 1. What is the tens digit of o(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 373129534?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13 - 8. Suppose 0 = -c - 5, -f*c = -n - 5499975. What is n rounded to the nearest one million?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3333666 and 476.\nAnswer: 6667332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-25))**(4\/21)*d**9*d*d\/(d*((d\/((d**(-12)*d)\/d)*d)\/d)\/d))**(1\/19) assuming d is positive.\nAnswer: d**(-142\/399)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y = -21*y + 56. Solve -5*t + 2*o + o = 12, -o = -y*t - 11 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45185119 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*l - 8*l + 9*l)*(-2*l + 2*l - 2*l) + (1207 - 1207 - 401*l)*(6*l + 0*l - 4*l).\nAnswer: -824*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 - -11. Let v(q) = -2*q + 6*q - 5 + m. Give v(-4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 148 = -182. Let t = u - 992\/9. Which is the closest to -0.1? (a) -5 (b) t (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*v - 4*v + v)*(-34 + 29 + 33) to b*v + k and give b.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0\/(2\/(10\/(-5))))\/(-2). Let q(m) be the third derivative of 1\/6*m**4 + 0 + c*m**3 - 1\/30*m**5 + 0*m + 4*m**2. What is s in q(s) = 0?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that z**5 + 24*z**4 + 191*z**3 + 596*z**2 + 780*z + 352 = 0.\nAnswer: -11, -8, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1145689773?\nAnswer: 3, 41, 9314551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 270053 = -2274*m - 2237*m - 53573 - 195139 for m.\nAnswer: -115","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x - 3*x. Suppose x*m + 7 = -m + 2*h, -2*h + 12 = 4*m. Suppose 0 = -a + 6*a - 5*o - 10, 0 = 4*a + 5*o - 8. Which is bigger: a or m?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1044141089?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -9286 greater than or equal to 856?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 + 3. Suppose d*a - 16 = a. Put 3, a, 2 in increasing order.\nAnswer: 2, 3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -665 + 629. Let w be ((-61)\/(-3))\/((-2)\/(-6)). Let x = w + r. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -471*g - 6903*g = -1261*g - 501266 for g.\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 2*s**2 + 40*s + 147. What is the remainder when l(-4) is divided by 13?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1\/3 (b) -1 (c) -4 (d) -2 (e) 1\/649\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:37 PM and 10:17 PM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 54794639 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-112)\/(-10) + 2)*5?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 127 = 11. Let h = -45 - b. Let p(f) = -2*f**3 - f**2 + 1. Calculate p(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -72 + 113 + (1 - 27).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 45 (base 16) to base 12\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the third derivative of 13*k**5\/20 + 2*k**3\/3 - 1771*k**2. Let i(m) = -m**2 - 1. What is 5*i(n) + z(n)?\nAnswer: 34*n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1654649 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(1300) + (-1 + sqrt(1573) - sqrt(13))**2.\nAnswer: -10*sqrt(13) + 1301","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 573, 879, 1145, 1353, 1485?\n\"Answer: -3*r**3 - 2*r**2 + 333*r + 245","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 274*l + 58*l - l + 52*l to x*l + r and give x.\nAnswer: 383","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 463, 925, 1387, 1849?\nAnswer: 2311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1149.64 - 1130. Let h = 20 - z. Let p = h + -0.06. Which is the second biggest value? (a) 0 (b) p (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -3*n**2 - 19*n - 30. Determine j(-7).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -24*j**6 + 157*j**5 - j**3 - 12*j**2 + 61 wrt j?\nAnswer: -2880*j**3 + 9420*j**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 74\/25? (a) 20 (b) -1\/3 (c) -1 (d) 0.4 (e) 32\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 take away -41687?\nAnswer: 41681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 877*z - 879*z + 9 = v, 5*v = 3*z - 7 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 25\/4 of a microsecond?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -898 - -898.4855. What is l rounded to 2 dps?\nAnswer: 0.49","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110)\/(sqrt(22)\/sqrt(2))*-2)\/(4*(3*sqrt(45))\/sqrt(9)).\nAnswer: -sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s*s*s**7))\/(s\/(s*s**(2\/7))*s))\/(((s\/s**3)\/s)\/s**(-6)) assuming s is positive.\nAnswer: s**(-82\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -42*f**3 + 25*f**2 - 26*f + 53. What is s(3)?\nAnswer: -934","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the third derivative of -h**7\/2520 - h**6\/240 + h**5\/30 - h**4\/8 + 2*h**2. Let i(o) be the second derivative of c(o). Factor i(y).\nAnswer: -(y - 1)*(y + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70646 is divided by 17642?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1*1*-2 - -1. Let y = 255.17 + -266.17. Which is the nearest to 1\/3? (a) y (b) 0.2 (c) w (d) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 64, 67, 70, 73, 76?\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27\/(-45)*95\/114*10\/(-125).\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 435\/(-36) + 1\/(-4). Let g = -13 - t. What is the third biggest value in g, 2, 0.5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r = 4*g + 5, 68*r - 69*r = -g - 3 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2963\/1419069 + 3\/2377. Let g = n - 38837\/9552. What is the common denominator of 202\/(-2)*(-4)\/(-48) and g?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 - (-14 - (-2 + -2 - 7)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r\/r**(-7\/2)))\/((r**(-7)\/r)\/r))\/(r**5*r**(2\/7)*r) assuming r is positive.\nAnswer: r**(-11\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 11\/(-33)*((-3)\/(-2))\/(-1). What is the closest to 0 in -3, 1\/9, t, -2\/11?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -6*g - 2. Give i(2).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 9\/1225870 and 11\/5?\nAnswer: 1225870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 367 + -1100\/3. Factor 2\/3*x - h - 1\/3*x**2.\nAnswer: -(x - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2 - 92\/22) + 2. Let m = -12 + 24. Let o be 4\/90*(-60)\/m. Sort o, -0.2, c.\nAnswer: o, -0.2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14.8717582 - 10.571772. Let s = -4.3 + g. What is s rounded to 6 dps?\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 26 and 12071371?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/15 + (-42)\/(-5). Let x be (-22)\/s*(-3 - 1). Suppose 4*c - 32 = 12. Solve l - 3*l + 3*d + x = 0, -3*l - d = c for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the third derivative of 0 + 2\/3*h**3 + 13\/24*h**4 + 0*h - 8*h**2. List the prime factors of g(5).\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 292 - 52 = 6*j. Suppose 75 = 5*l + j. Let i(w) = 5*w**2. Let t(x) = -6*x**2. Give l*i(p) + 6*t(p).\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 627561 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 250 is divided by (-112)\/(-10)*(-100)\/(-40).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7.631*0.4\nAnswer: -3.0524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-2242)\/(-133))\/(-7 + -3) and 2\/40*(6 - (-2244)\/(-77))?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-3)\/(-6))\/((-3)\/(-156))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.5 + 0.5. Let u = o - 1. Let m = 8 + -8. Which is the nearest to u? (a) m (b) -5 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 + 9. What is the least common multiple of 3 and v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6796605 to the nearest integer?\nAnswer: 2607","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 14 - 69 = 0. Let l = -21 + 15. Calculate the remainder when f is divided by l*2\/((-1)\/1).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + 1 + 4)*(-6*g + 0*g + 4*g) - 18*g - 7*g + 19*g)*(3 - 4 + 2).\nAnswer: -8*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 2*l + 2988 = -p, 5984 = 4*p + 4*l. Calculate the common denominator of 25*(2 - 6\/4) and ((-1)\/(-6))\/((-13)\/p).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24011 is divided by 289.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = w - 5*w + 27, 0 = 4*w - 5*b - 77. Suppose 5*o = 5, 5*k - 72 = -0*o + 3*o. Let i = 54 - k. What is the greatest common factor of w and i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-11740)\/(-40) - (-2)\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/3*75\/2. Suppose t = -2*u + 21, 3*t - 2*u = 54 + x. What is the remainder when t is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 30\/255 - (-4)\/(-34). Let j(n) = n**2 + n - 12. Let h be j(0). Let r = t - h. Calculate the remainder when 34 is divided by r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:35 AM and 4:18 PM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -10, 5116, -318 in descending order.\nAnswer: 5116, -1, -10, -318","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-30)\/35 - (-26547)\/(-21). Let i = 138 - a. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**2 + 17*h + 14. Calculate p(-15).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 180 + -180. Suppose -2*q - 4*r + 24 = -c*q, 4*q - 13 = -r. Solve -8*p + 4*p - 12 = q*x, 0 = -4*x for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*g**3\/5 - 12416*g**2 - 237799668*g\/5 + 23904348552\/5.\nAnswer: -4*(g - 98)*(g + 7809)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 18075 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3\/8, 1\/7, 3, -5\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/15*2\/3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 (base 13) in base 4?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 268 and 851.\nAnswer: 228068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, g: 2, d: 1, w: 1, h: 1, j: 2}. What is prob of sequence dw?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are 4577 and 4682 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8988782 to the nearest integer?\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -396*x - 94*x - 16065 = 105*x for x.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 1380000 to the nearest 100000.\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3497477 to the nearest integer?\nAnswer: 1870","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the first derivative of -w - 3\/2*w**2 + 1. What is the derivative of u(b) wrt b?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4947184*0.4\nAnswer: 1978873.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -477 + 480. What is the closest to -29 in h, 1\/6, 2\/11, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3438327830?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-5\/6)*y*y*y*y**(-2\/29)*y)**(-26)*((y*y**5)\/y**(-1\/7))**(-6\/13) assuming y is positive.\nAnswer: y**(-660083\/7917)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/4 + -2*(-35)\/(-72). Put 30, 0.5, -2, f in descending order.\nAnswer: 30, 0.5, f, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -614, -1159, -1700, -2237, -2770, -3299, -3824?\n\"Answer: 2*a**2 - 551*a - 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4094570 divided by -2047285?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Put together -5.252 and -881736.\nAnswer: -881741.252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 1 - 2)*(3*r**4 + 3*r**4 - 5*r**4) + 8*r**3 - 8*r**3 - 27*r**4.\nAnswer: -25*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -50\/90569 and 59\/11045?\nAnswer: 452845","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -444958 (base 10) to base 5.\nAnswer: -103214313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 5 + 3)*(-1162 + 1162 - 180*r**2) - 2*r + 4*r - r**2 + 0*r**2 to d + o*r**2 + g*r and give o.\nAnswer: -181","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*u**5 + 288770*u**4 - 5196535*u**3 + 17032330*u**2 - 12124560*u = 0. Calculate u.\nAnswer: 0, 1, 3, 14, 57736","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 129275?\nAnswer: 5, 5171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -3*3*(4 + 2 + (5*(1 + sqrt(1539))*6)**2)*-1.\nAnswer: 145800*sqrt(19) + 12474056","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - i - 2 - 8 = 0, 0 = 5*z + i. Is z\/((-2)\/(9852\/(-1))*2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = k + 23 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-12)\/(-7) - (-2)\/7. Let t(s) = s**3 - 6*s + s - 3*s**u + s + 3 + s. Determine t(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 597044471?\nAnswer: 17, 1009, 34807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 5*w - 23099 = 0, 2*w - 23267 = -3*a - 196. What is the highest common factor of a and 49?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1128 + 1143. What is the remainder when 12012 is divided by c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*m + 21*m + 24*m.\nAnswer: 12*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.331 in 0.05, -4, 1, 3\/5, 6?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -12156 divided by 4052\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:24 AM and 4:48 AM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the second derivative of x**4\/12 - 10*x**3\/3 + 50*x**2 - 19*x. Factor y(h).\nAnswer: (h - 10)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 72674?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1129.\nAnswer: 1129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-35))\/(99\/165)?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*a**3 - 9*a**3 - 32*a**3 + a**3 + 6*a**3.\nAnswer: -49*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 3 - 5)*(0*d**2 + 0*d**2 - d**2) - 2*d**2 + 0*d**2 + 3*d**2)*(-3 + 2 + 3)*(4*d - d + d).\nAnswer: 24*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-8)\/18*3\/(-2). Let d = -86 + 86.43. Let h = d + -0.23. Which is the nearest to r? (a) h (b) 4 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100011100111110 + -110?\nAnswer: 100011100111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11016981?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*x - 13*x + 66. Suppose 12 = x*g - p, -4*g = -2*p - 24 + 6. What is the smallest common multiple of g and 108?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2440*q**2 + 2425*q**2 - 3 - 4864*q**2.\nAnswer: q**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) 0 (c) -2.2 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -108*f - 27. Let d be m(-2). What is the greatest common factor of 54 and d?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 28*w - 203. What are the prime factors of d(12)?\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 9*y**3 - 2*y**2. Let l(b) = 5*b**3 - b**2. Let i(a) = -9*l(a) + 4*t(a). What is the third derivative of i(v) wrt v?\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3967 is divided by 32?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - (8 - -2)) + -1 + 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/(-28) + (-1389)\/(-21) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*g = -0*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -865*m**2 - 849*m**2 + 91*m**4 - 853*m**2 + 7*m + 2590*m**2 wrt m.\nAnswer: 2184*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 252839221?\nAnswer: 252839221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7.408 - -0.108. Let l = f - -4.3. Let h be 0 - (-2)\/9*-1. What is the closest to 0.1 in 0.5, l, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28797107.\nAnswer: 89, 257, 1259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**3 + 8*i**2 + 2*i + 8. Let r be q(-8). Let m = r + 11. Solve -b - m = 2*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/60*6)\/(1\/96*6)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -363720 divided by 7.\nAnswer: -51960","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -10120 divided by 662?\nAnswer: -5060\/331","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 8*b = 3*b. Suppose q + 65 - 69 = b. Solve 0 = 4*g - 0 + q for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the second derivative of -3*p**5\/5 + 2*p**3\/3 + 3*p**2 + 9*p + 5. Find the first derivative of z(v) wrt v.\nAnswer: -36*v**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the third derivative of -f**4\/24 - 18*f**2. Let q(w) be the first derivative of -w**2\/2 + w + 4. What is -3*q(y) + s(y)?\nAnswer: 2*y - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 62752?\nAnswer: 2, 37, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 3*x**3 + x**2 - 7*x + 13. Suppose -10*j = -25 - 35. Is m(j) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 + -52ce3?\nAnswer: -52ce8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, o: 1, p: 3, f: 1, x: 1}. What is prob of sequence fzpp?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 22, -3, -92, -251, -486, -803, -1208, -1707?\n\"Answer: -z**3 - 26*z**2 + 60*z - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*b - 225687 - 19935. Does 130 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 66, 1570, 6166, 15564, 31474, 55606, 89670, 135376?\n\"Answer: 285*p**3 - 164*p**2 + p - 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1.35+79564.02569\nAnswer: 79565.37569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (6 - 1\/(2\/29)*-1452)*1000. What is i rounded to the nearest one million?\nAnswer: 21000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**4 - 1125*b**3 + 9927*b**2 - 16395*b - 27450.\nAnswer: 3*(b - 366)*(b - 5)**2*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*j**3*v**2 - 4*j**3 - j**2*v**2 - j**2 - j*v**2 + 11*j*v + 126*v**2 + 145*v + 1 wrt v.\nAnswer: -6*j**3 - 2*j**2 - 2*j + 252","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let 0*c - 1\/2*c**2 + 25\/2 = 0. What is c?\nAnswer: -5, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -78 - (103 - 135) - 44\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**2 - 12*x + 36. Let t be r(8). Solve -4 = 4*z + 2*q, 4*z + 3 = z + t*q for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 315461 to the power of 1\/2, to the nearest integer?\nAnswer: 562","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.0964 - -31.9036. Sort v, 1\/5, 0, -0.2 in decreasing order.\nAnswer: v, 1\/5, 0, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20, 33, 62, 113, 192, 305, 458?\nAnswer: 657","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c - 4*d - 82 + 14 = 0, -9 = c + d for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*s = -6*s - 15. Let o(l) be the second derivative of 0 - 2*l - 6*l**3 + 4\/5*l**s - l**4 - 4*l**2. Solve o(g) = 0 for g.\nAnswer: -1, -1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 921624 and 44.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*j - 64 + 1 = 0 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -322 divided by -1\nAnswer: 322","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -252 + 5005?\nAnswer: 4313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -2*v**3 + 107*v**2 + 69*v - 252. Calculate the smallest common multiple of i(54) and 372.\nAnswer: 1116","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + 45 = 5*t, -2*t - 1 = -3*b + 1 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -1816*q**2 + 4997*q - 126. Let h(p) = 1814*p**2 - 4997*p + 140. Let j(r) = 18*h(r) + 20*x(r). What is the second derivative of j(t) wrt t?\nAnswer: -7336","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u\/((u*u**(-1\/12)*u)\/u*u))\/u)\/((u**(-6)\/u)\/u*u))\/(u\/(u*u**(1\/23))*u*u*u**(-30)))**30 assuming u is positive.\nAnswer: u**(45715\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(1700)*3.\nAnswer: -60*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1120.44 + -1120.4. Which is smaller: -1308 or x?\nAnswer: -1308","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 8850?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/((-15)\/36) - 2. Let n = 0.5 + 2.5. Let l = n - 6. What is the closest to w in l, 0.3, 0.2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -224 - -217. Let k(t) = -t. Let s(a) = -a**3 - 9*a**2 + 4*a - 2. Let w(f) = -2*k(f) - s(f). Is w(l) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 + 2)*(-5*i + 2*i + 0*i) + 3 + 0 + i - 1 - 1 + 3*i + 1 + (-2 + 2 + 1)*(-4*i - i + 3*i) - 22*i + 14*i - 64*i as u*i + j and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -53 - -57. Suppose 44*r - w = 42*r. Which is the fourth smallest value? (a) 0.3 (b) 0 (c) r (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 101751 + -5766?\nAnswer: 84874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (981\/(-7))\/((-11620)\/98). Let u = g + 3\/166. Factor -1\/5*d**3 - 8\/5 - u*d**2 - 12\/5*d.\nAnswer: -(d + 2)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (3*(sqrt(330)\/(sqrt(11) - -2*sqrt(11)))\/sqrt(5))\/((sqrt(105)\/sqrt(5))\/sqrt(7) - sqrt(6)\/sqrt(2)*5).\nAnswer: -sqrt(2)\/4 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s - 5. Let n be v(8). Suppose p - 4 = -4*i, 0*i - n*i + 20 = 5*p. Solve -p*d - 2*g = -24, -3 + 1 = -g for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 182953 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1441\/(-88) + (-12)\/(-32)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 4.441417 milliseconds?\nAnswer: 4441417","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 496 bigger than 16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 16 + -13. Put 47, -1\/7, a, -3\/4 in descending order.\nAnswer: 47, a, -1\/7, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.085 (b) -13 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1519871 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 365.6 + -366. Let w = 1.1 + -0.1. Which is the fourth biggest value? (a) 2\/3 (b) w (c) -0.08 (d) i\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4381980 divided by -365165.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 145 less than 33?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -52 + 29. Let n = -1 - j. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 36 - -18 - (2 + -11 + 7 + -17 - -7)?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/7 greater than 1501?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**2 + j + 2. Let n be -1 - -2 - -1*1. Let s be o(n). Solve 0 = -2*p - s*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/20566 and -31\/13610?\nAnswer: 139951630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1084 + 722. Let v = 522 + h. Suppose 88 = 5*z + 4*c, -4*z + c = -3*c - 92. Calculate the highest common factor of v and z.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -3*p + 837. Let o(k) = 7*k - 1678. Calculate 2*o(r) + 5*w(r).\nAnswer: -r + 829","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (596*n**4 - 547 + 547)*(-4 + 2 + 1) + 8*n**2 - n**4 - 8*n**2 - n**4 + 0*n**4 + 2*n**4.\nAnswer: -596*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.71178606 at least -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -55*r + 5 + 57*r - 11. Determine u(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -35520.4167 to the nearest one hundred.\nAnswer: -35500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (393 + -391)\/((-2)\/15). Let q(r) = 4*r + 12. Give q(k).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 2*d + 11 = 0, -d + 4 - 2 = 0. Let b(i) = -i + 1. Let l(p) = p**3 + p**2 + 2*p + 3. Let c be l(-2). Let w be b(c). Which is greater: w or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 1) + (-5 - ((-7 - 10) + 12))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**2 + 10*p + 12. Determine l(11).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1176 + 9*b**2 - 1211 + 2388 - 2*b - 6*b**3 + 4*b**4 to a + z*b + n*b**3 + j*b**2 + l*b**4 and give j.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 20879 + -10667. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -4 + 8*2\/4. Are o and -5\/7 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = 5*a + 4 + 24, 5*a - 20 = 0. Calculate the remainder when 23 is divided by ((40\/c)\/(-1))\/(4\/6).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 26 - 26. Which is the nearest to -1? (a) -2\/5 (b) f (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*w**2 - 21911*w**3 + 3*w**2 + 22165*w**3.\nAnswer: 254*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 2*y**2 - 22*y - 12. Suppose 0 = 7*q - 4*q - 36. Is v(q) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and 0.03506466?\nAnswer: -0.014025864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -925.3+-0.3\nAnswer: -925.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -25 (base 6) to base 14\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -3*j - 22. Let u be r(-9). Suppose 3*d = u*z - 10, -3*d = 3*z - 0 - 6. Solve 6*m = 2*m - w - 8, -5*m - 4*w - 10 = d for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q + 2921 = 2941 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 53477 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 10454 - -125?\nAnswer: 10612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6276906202?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 84022 - 84029.8121. Let d = -7.8 - i. What is d rounded to three decimal places?\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 2354 = -186. Let b = -1928\/3 + q. What is the common denominator of -26 and b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 997556 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -21 + 21. Suppose k = -4*a - 4*m + 43224, -m = -a + 6*a - 54010. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -16871, -33794, -50775, -67814, -84911, -102066, -119279?\n\"Answer: -29*r**2 - 16836*r - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 6)*(10*d**5 + 2*d**5 + d**5).\nAnswer: -52*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -776, -777, -778, -779, -780?\nAnswer: -781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5944726519?\nAnswer: 24019, 247501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 549532.003 rounded to the nearest 10000?\nAnswer: 550000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 - 13c?\nAnswer: -137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-234)\/(-12) - 18)*(-2)\/6.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**21*d\/(d**(4\/3)\/d)*d*d)\/((d*d**(-1\/13)*d)\/(d*d\/d**(1\/13))))**(-46) assuming d is positive.\nAnswer: d**(-3266\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.3 + 4.7. Let v be ((-3)\/6)\/(27\/12). Let f = -0.1 + 0. Which is the closest to f? (a) v (b) m (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 58\/5 + (-9)\/15. Let y = m + -6. Suppose y*q = 85 - 30. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42*(336\/16)\/(-63).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 + (-8)\/(-5) - 595\/(-175). Which is the closest to 1\/4? (a) u (b) 3 (c) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1375*o**2*q - 7*o**2 - 1054*o*q - 13*o wrt o.\nAnswer: 2750*q - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11970 is divided by 146.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 26 + 186?\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -138260464\nAnswer: 1\/34565116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m + 5*f + 61, -85 = m + f - 2*f. Suppose 27 = 2*k + 3. Calculate the lowest common multiple of k and (-4)\/12*m + 3 + 0.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -90.7 - -88.7. Let y be (14\/(-4) - -1)*2. Sort t, y, 0.03 in increasing order.\nAnswer: y, t, 0.03","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16989653.\nAnswer: 163, 104231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -200112 (base 3) in base 11?\nAnswer: -415","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15680*-2.\nAnswer: -31360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the third derivative of w**6\/120 + 19*w**5\/60 + 2*w**4 + w**3\/2 - 34*w**2. Let b be s(-16). What is the nearest to 76 in b, -2\/17, -0.3, -1\/2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59*j**3 - j**3 - 83*j**3 + 24*j**3 - 22*j**3 - 40*j**3.\nAnswer: -181*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2327 is divided by 2315?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1056\/17 + 4173\/68. Let h = -3 - -3.5. What is the third biggest value in h, -4, s, 2\/5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.1 + -0.9. Let d = t + 1. Let m = 0 - 2. Which is the closest to 0.1? (a) m (b) d (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6599, 7554, 9139, 11348, 14175?\nAnswer: 17614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 + 59 = 5*m. Suppose v = -2*v + m. Solve -v*a + 4 = -5 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 402 divide 455064?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -871 - 869 + 1731 - 26*n.\nAnswer: -26*n - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**3 - 4*m**2 - 152*m - 296. Give f(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/3 (b) 99 (c) 2 (d) -0.3 (e) -17.8 (f) 0.4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15319?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/90*5*(-6)\/(-28)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 46 + 13*o**4 + 3*o**4 - 2*o + 2*o + 15 with respect to o.\nAnswer: 64*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -79.75 + -7.85. Let u = q - -96. Let m = u - 7.4. Which is the third biggest value? (a) m (b) -5 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19 (base 15) to base 12.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -98540*h + 1. Let n be b(-11). Let a = -643987 + n. Let y = a + -779954. What is y rounded to the nearest 100000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - 3*x - 5 = 0, 4*i - 45*x + 47*x = -14 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -81 (base 10) to base 13\nAnswer: -63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 - 6.6. Let o = -312\/5 - -62. Put 4, p, o in increasing order.\nAnswer: o, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 f when two letters picked without replacement from fmfvvgzzfzz.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1377104 + 2?\nAnswer: 1377106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**2 - 7*h + 5. Let v be c(7). What is the third derivative of -5*g**2 - 10*g**4 - g**2 - v*g**2 wrt g?\nAnswer: -240*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p, 1 u, and 1 a when four letters picked without replacement from ppppunpnppppa?\nAnswer: 36\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/6*6*103 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*s + 255 = -11*s. What is the remainder when s is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, -338, -3, -2\/11, 4 in descending order.\nAnswer: 4, 2\/7, -2\/11, -3, -338","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -66914730 by -10.\nAnswer: 6691473","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -30*b**4*f - 16*b**2*f**2 + b + 132*f**2 with respect to b.\nAnswer: -120*b**3*f - 32*b*f**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + r + 476 = 0, 0 = -2*w + 5*w + r + 356. Let m be 345\/w - (-1 + -2). What is the closest to -4 in 4, m, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -2\/441, 28, -1\/10, -4?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 2 e when three letters picked without replacement from {b: 5, z: 2, y: 1, p: 1, e: 3}.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x - 4 - 6 - 7 + 4 + 1. Let i(j) = -7*j - 1. What is g(i(v))?\nAnswer: 7*v - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:11 PM and 3:33 PM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*y + 9 = -24*y. Suppose 2*x + 2*p + y = -11, 0 = 3*x - 3*p. Let z(n) = n - 1. Let j(c) = -2*c**2 - 2*c + 5. What is x*z(u) - j(u)?\nAnswer: 2*u**2 - 3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 17*a. Let u(s) be the third derivative of s**7\/1008 - 7*s**5\/30 + 8*s**2 - 2. Let q(k) be the third derivative of u(k). Give q(t(j)).\nAnswer: 85*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*p**4 + 1 - 3 - 44*p + 42*p + 2*p**2 + 2*p**3 as j*p**3 + d*p**2 + m*p**4 + h + n*p and give m.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(8)\/(sqrt(8)\/sqrt(2) + sqrt(4)) + (sqrt(12)\/sqrt(2))\/sqrt(3).\nAnswer: 3*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**2 + 5*j - 954. Calculate the remainder when 206 is divided by s(-35).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, m: 3}. What is prob of picking 1 y and 1 m?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*k + 5403 = -9*k + 2*h, -4*h = 5*k - 5401. What are the prime factors of k?\nAnswer: 23, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 747 + -445. Suppose 0 = b - y - 75, 4*b - 4*y = -2*y + h. What is the tens digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 7\/4, 5, 264, -5\/4, -2\/5, 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -n**5 - 2*n**4 + 27*n**3 + 8*n**2 - 212*n + 240 = 0.\nAnswer: -5, -4, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 219, 229, 237, 237, 223?\n\"Answer: -u**3 + 5*u**2 + 2*u + 213","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + (-2*sqrt(245) - sqrt(245)) - (sqrt(245) + -2 + 5))*6)**2*-1.\nAnswer: -141264 + 4032*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*h + 13*h - 44*h - 380 for h.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c - 4*z + 60 = 0, 4*c + 95*z - 94*z = 30 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 51\/70 and -139\/70.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 102049639.\nAnswer: 102049639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/(-4) - (-33)\/(-2). Let b = q - -34. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13 + -12.1. Let b = 1 - f. Let v = -64.2 + 63.8. Is v at least b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -4*k - 1 - 101, k = 2*y - 63. What is the lowest common multiple of y and 12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00059086044 to four dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 + -33312234?\nAnswer: -33312244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + 3 = -4*x - 15, s + 5*x = -13 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the first derivative of 16\/3*m**3 + 0*m**2 + 3\/4*m**4 - 13\/5*m**5 - 4*m - 12. Find the third derivative of c(w) wrt w.\nAnswer: -312*w + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57\/38*106\/(-371)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/17 (b) -762 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 194*w**5 - 196*w**2?\nAnswer: 11640*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11530764821 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 4) + 3 - 3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 861*w**4 - 7*w**3 - 32*w - 161. Let q(j) = 859*j**4 - 6*j**3 - 28*j - 160. Let n(b) = -6*o(b) + 7*q(b). Find the second derivative of n(c) wrt c.\nAnswer: 10164*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-4*-2*sqrt(136))\/(sqrt(8) + sqrt(200) + sqrt(200)*-4).\nAnswer: -3 - 4*sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + -103?\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**3 + 21*a**2 + 20. Let m be u(-21). Suppose 14*j - m = 10*j. Suppose 0 = -j*b - 3*b + 272. Is 4 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 88 = -8. What is the remainder when k is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(84)*1*5)\/sqrt(12) + -1 - ((-1 + sqrt(252))*-3 + -1 + 3)**2.\nAnswer: -2290 + 185*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5)\/2*(-4)\/5. Let s(q) = q**2 - 6*q + 5. Let g = -4 + 9. Let c be s(g). Sort c, r, 8 in increasing order.\nAnswer: c, r, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 10*((-6)\/4 - -2). Put 7, u, -2 in descending order.\nAnswer: 7, u, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 230452?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -4*v**3 - 5*v**2 - 3*v + 3. Let o(q) = -q**3 - q**2 - q. Let l(k) = 3*o(k) - y(k). Determine l(-3).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - ((-2)\/(-2) + 3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1159 is divided by 556?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**2 + 7*s - 2. Let g be l(6). Let w = 3 + 4. Suppose 0 = -g*u + w*u - 126. Is 14 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 357976, 715919, 1073862, 1431805?\nAnswer: 1789748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-8)\/(-3)*360\/32. Calculate the greatest common divisor of 4 and s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 - (-3)\/(-12)*0. Let j(x) = -x - 1. Let z be j(u). Let d(f) = -f**3 - 2*f**2 + 2*f + 3. What is d(z)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2\/(-3))\/(3\/45). Let s be 2\/(-4) - l\/4. Let o be 1\/(0 + 1\/s). Sort -3, o, 5.\nAnswer: -3, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q + z = -9, 0 = -3*q + 2*z + 2*z + 10 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1251*d**3 + 29*d**2 + 63 + 1245*d**3 - 138*d - 3*d**4 + 55*d**2.\nAnswer: -3*(d - 3)*(d - 1)**2*(d + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -6*k**2 + 46*k - 6. Let y(c) = -5*c**2 + 41*c - 7. Let u(l) = -4*s(l) + 5*y(l). Give u(21).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 l when four letters picked without replacement from ddddlldddll.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*a + 1032 = -55*a. Let i = a - -810. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 j when two letters picked without replacement from {a: 1, w: 2, j: 1, k: 2, n: 1}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 88924?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14 - -9) + -14 - 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 2 s when four letters picked without replacement from {s: 10, q: 9}?\nAnswer: 135\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -579 < -5216\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -67042 or 5.65?\nAnswer: 5.65","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3138 + 3283. Let b(j) = 10*j**2 + 11. Let f be b(-5). What is the highest common factor of f and l?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -69*a**2 + 183*a**2 - 368*a**2 + (3*a - 2*a - 3*a)*(0*a - a + 0*a) as o*a + u + q*a**2 and give q.\nAnswer: -252","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 335*q - 2010. Let t be x(6). Which is bigger: t or -2\/3881?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11\/10 - (25\/2)\/25\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 351 a factor of 19499?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 58 - 78. Let p be 2 + (-36)\/c + (-2)\/(-10). Suppose q - 9 = -5*m, p*m + 1 = 3*q - 7. Solve 4*y + 3*s - 10 = 0, 3*y + 4*s = 5*s + m for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10261817, 10261816, 10261815?\nAnswer: 10261814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x**2 + 0*x**2 - 2*x**2)*(-440*x**2 - 494*x**2 + 1031*x**2) + (-3*x**2 + x**2 + 3*x**2)*(-x**2 + 0 + 0) + 0*x**4 - 9*x**4 + 0*x**4.\nAnswer: 87*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-8)\/(-2484)*(-172698)\/(-104). Let j = 21\/299 - k. Calculate the common denominator of -95\/8 and j.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -43013, -42784, -42529, -42236, -41893?\n\"Answer: 2*f**3 + f**2 + 212*f - 43228","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5\/1 + -2 + 2. Let f = -111 - -107.12. Let z = -0.12 + f. Which is the second biggest value? (a) z (b) x (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 11 and -0.7?\nAnswer: 11.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 32 (base 7) to base 2\nAnswer: 10111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -47*p**2 + 1347*p - 86. What is d(28)?\nAnswer: 782","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-9)\/(-2) - 3\/6. Suppose 8 = f*w - 0. Solve 2*i + w*q + 8 = -10, 4*q + 31 = -3*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the third derivative of w**5\/60 + 2*w**2 - 178*w + 2. Let j(u) be the second derivative of -52*u**3\/3 - u. Give h(j(k)).\nAnswer: 10816*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**2 + 13*u - 37. Calculate i(7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*l**3 - 144*l**2 + 645*l - 234 = 0.\nAnswer: -13, 2\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange s**3 + 2009 - 2006 - 3*s - 2*s**4 + 3*s**4 + 4*s + s to j*s**3 + x*s**4 + o*s + r + q*s**2 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes before 5:25 AM?\nAnswer: 5:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 8 + (-90 - -43) + 81\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -5*n - 29*r + 25*r, -5*r + 11 = 2*n. Which is the closest to 0.1? (a) 2\/11 (b) n (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + f - 49 = 0, -3*s + 2*s + 2*f = 8. Let q be 5\/s + (-2)\/4. Let d be (-25)\/(q*3\/696000). What is d rounded to the nearest one million?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3be50 (base 15) to base 3\nAnswer: 100202200110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -12\/11663 and 81\/23326.\nAnswer: 23326","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 + 15040274?\nAnswer: 15040277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-16)\/20 - 1238\/15)*-44904. What is m rounded to the nearest one hundred thousand?\nAnswer: 3700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5.7 - 0.7. Let s = 8 - y. Let b = s - 5. Is b at most -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*s - 4*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b**(-12\/7)*b)*b*b)\/b*b*b*b**23)\/((b*b*(b\/b**13)\/b)\/b*b)**3 assuming b is positive.\nAnswer: b**(425\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 847 + -825. Solve 2*l - 120 = -b*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -586*a**4 + 355*a**4 + 3*a + 229*a**4 - 894*a**2 + 2*a**3 to u*a**3 + q*a + r*a**2 + m*a**4 + b and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 - 5*f**3 - f - 609069*f**4 + 9*f**2 + 3*f**3 + 609068*f**4 as b*f + v*f**2 + o + m*f**4 + z*f**3 and give v.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**3 - 9*s**2 - 24*s - 6. Let b be j(11). Which is bigger: -1 or b?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -35\/6 - -397\/66. Let q = -114 - -115. Sort q, j, 0.5, 1\/3 in increasing order.\nAnswer: j, 1\/3, 0.5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (176\/(-308))\/((-8)\/(-84)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 147 = -8*z. Calculate the remainder when z is divided by 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 2*h**3 + 5*h**2 - 2*h + 5. Suppose 15 = -3*t - u, 4*u + 5 = -t + 6*u. Let x(k) = 3*k**3 + 8*k**2 - 3*k + 8. What is t*x(v) + 8*w(v)?\nAnswer: v**3 - v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -426 by -5.\nAnswer: 426\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -147819982 and -10.\nAnswer: 1478199820","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 298 + 5?\nAnswer: 2a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 88 and 326491?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 53 - 65. Is (0 + w)\/4 + 68 - 1 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*d**3 + 2384*d**2 - 32788*d + 114072.\nAnswer: -4*(d - 582)*(d - 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 242775146 to the nearest integer?\nAnswer: 15581","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1010*p + 16433 with respect to p.\nAnswer: 1010","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5243 smaller than 15731\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -2*p**3\/5 - 972*p**2\/5 + 40614*p\/5 + 546416 = 0.\nAnswer: -520, -37, 71","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1038 less than 5192\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 615.\nAnswer: 3, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -18 (b) -4 (c) -1 (d) -4\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1131 - 46375\/41. Which is bigger: 0 or o?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:36 PM and 5:55 AM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*k - 8 = 4*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**2 + 5*f + 7. Let m be p(5). What is the units digit of (-5 + -1)\/(m\/(-231))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ii when two letters picked without replacement from ziazzzitiiiictzc?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**3 - 3*s**2 - 2*s - 3. Let a be i(4). Suppose -5 = 5*d + 2*f, 5*d + 0*d + 3*f + a = 0. Which is greater: d or -2\/109?\nAnswer: -2\/109","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 344.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d + 35 + 19 - 58. Determine g(8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 72845795*h**4 - 35305630*h - 1?\nAnswer: 874149540*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1688028 is divided by 214.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = v - 265380002, 2*k + 3*v = -9*k - 973059994. Round k to the nearest one million.\nAnswer: -88000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -19*u - 1. Suppose -c + 2*r = 3*c + 6, 4*c = -4*r. Let s be z(c). Suppose 0 = 3*f - 0 - s. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 4) to base 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes after 11:37 AM?\nAnswer: 2:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the second derivative of 4*c**6\/15 + 5*c**2\/2 + 6*c. Differentiate n(j) with respect to j.\nAnswer: 32*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 45 - -35?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, 4, -2, 9\/17, -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4515109 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 1039624.06 to the nearest ten thousand.\nAnswer: 1040000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.21, 2, 72\/7?\nAnswer: 0.21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 7*l**2 - 5*l + 5. Let a(g) = -4 + 7*g - 3 - 5*g + 5*g - 10*g**2. What is -5*a(p) - 7*i(p)?\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/157, -2, 0, 3, 66, -0.3 in ascending order.\nAnswer: -2, -0.3, 0, 2\/157, 3, 66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 1 p when three letters picked without replacement from ppssppps?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -29, -8.\nAnswer: -29, -8, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 7 (b) -43 (c) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*s + 4305 = 4250 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -111102010111 (base 3) in base 16?\nAnswer: -40738","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.0118 + 0.02586. Let v = -0.0337 + a. Round v to 4 decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.7 and 8.283.\nAnswer: -5.7981","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3254401132 - 1?\nAnswer: -3254401133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1.06, 0.5, -2 in descending order.\nAnswer: 3, 1.06, 0.5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -491617*115.\nAnswer: -56535955","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 62 or 7270?\nAnswer: 62","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 602 divided by 86.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**2 + 6. Let a be c(0). Let x(w) = w**3 - 5*w**2 - 4*w - 7. Let n be x(a). Put -4, 3, n in descending order.\nAnswer: n, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -2*a**3 - 15*a**2 + 35*a + 65. Calculate q(-9).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16 and 230273992.\nAnswer: 460547984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 219 and 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 17435951 a multiple of 248?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1334 and 2221340.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7416833657 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -0.1 (b) 4 (c) -141.3 (d) -5 (e) -1.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15 + -16. Let r(t) = -t**3 - t - 5. Let j be r(0). Let z = 4 - 1. Put j, z, v in descending order.\nAnswer: z, v, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3\/8 of a tonne?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1621*-0.2.\nAnswer: -324.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.2 - 0.8. What is the second smallest value in -0.1, r, 4, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -1\/448?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 2*k**3 - 64*k**2 + 294*k - 111. Give i(4).\nAnswer: 169","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**2 - 7*j - 8. Let w be t(8). Suppose w*v + 3*v + 3 = 3*u, 3*u = -5*v + 11. Suppose 0 = -u*m - 0*m + 154. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 180863 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -5*l**4 - 17*l**3 + 52*l**2 - 24*l + 3. Let u(w) = -w**3 + w**2 - 2*w - 1. Let r(t) = d(t) + 3*u(t). Factor r(z).\nAnswer: -5*z*(z - 1)**2*(z + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 56 = 20. Differentiate 15 + 13 - r*a + 12 - 12 wrt a.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -24*r**2 - 71471037*r**3 + r**2 + 71471038*r**3 - 8*r - 11*r**4 + (-2*r**3 + 4*r**2 - 4*r**2)*(0*r + 0*r - 2*r).\nAnswer: -7*r**4 + r**3 - 23*r**2 - 8*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oovyoyvysswvww. Give prob of sequence vvo.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is f in f**4\/8 - 17*f**3\/8 + 59*f**2\/8 + 17*f\/8 - 15\/2 = 0?\nAnswer: -1, 1, 5, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/11, 26, -0.1, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1265 is divided by 51.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the first derivative of y**3\/3 + y**2\/2 + 4*y - 5. Let v be q(0). Solve v*r - r - 12 = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the first derivative of -2*p**6\/27 - 2*p**5\/9 + 10*p**3\/27 + 2*p**2\/9 + 2. Solve g(v) = 0 for v.\nAnswer: -2, -1, -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(-3) + 122\/15. Let s = k - 93\/10. What is the third biggest value in s, 2\/3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8301*t**4 - t**2 - 49*t.\nAnswer: -199224*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1, 6, 4\/3, 0.059, 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 - -2. Suppose -6*z + 4*z = -o. Does 2 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 + -3. Suppose -i*f - 3 + 43 = 0. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 42887?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1\/3, -89, 0.508983?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 155\/3 in -3, 0.01, -50, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2674 and 30506?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7581.69992 + -7582. Let x = -0.3 - a. What is x rounded to 4 dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 723 - -490950?\nAnswer: 491673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*g - 2270 - 2524. Let f = 396 - g. Does 12 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16984, -68085, -153258, -272509, -425844, -613269, -834790, -1090413?\nAnswer: -1380144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6767 - -9552. What are the prime factors of i?\nAnswer: 5, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**2 + 226*w - 8. Let v(n) = -85*n + 3. Let x(p) = 8*v(p) + 3*z(p). Let d(f) = 2*f**2 - 2*f. Suppose 2*c - 6 = -0*c. Calculate c*x(u) - 4*d(u).\nAnswer: u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2.4 and -0.01851730945.\nAnswer: 2.38148269055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3482 = -53*c - 3*x + 2525, 35 = -2*c + x for c.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -456 (base 8) to base 4\nAnswer: -10232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 3*u + 6*o + 2, -4*u + 5*o + 10 = 0. Sort u, 1, -3.\nAnswer: -3, u, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.923 - -0.923. What is the second smallest value in -5, f, 6.1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -162158*q**3 + 81123*q**3 + 81070*q**3.\nAnswer: 35*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times -0.07?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 335, 389, 451, 527, 623, 745, 899?\n\"Answer: v**3 - 2*v**2 + 53*v + 283","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wa when two letters picked without replacement from {w: 1, x: 12, a: 6}.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -s**2 - 52696787*s + 837552494 wrt s.\nAnswer: -2*s - 52696787","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**3 - 183. Let x(k) = 2*k**3 + 368. Determine -5*w(t) - 3*x(t).\nAnswer: -t**3 - 189","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that 0 - 10\/3*c**3 - 50\/3*c - 35*c**2 = 0.\nAnswer: -10, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8334445m to centimeters.\nAnswer: 83.34445","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 + 11. Suppose m*f + 2*f = 100. Is 15 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 1. Let n(f) = -f - 9. Let t(l) = -2*n(l) - 10*p(l). What is t(-6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 19314, -5, 4, -4 in descending order.\nAnswer: 19314, 4, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 371068 in -0.4, -0.1, 5, -1\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9673*l**2*t**2 - l**2 + 8*l + 2*t + 86 wrt t.\nAnswer: -19346*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the second derivative of -3*z**3 + 41*z. Let y(g) = -g. Give l(y(q)).\nAnswer: 18*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/7, 9, 0.01, -1, -9, 1\/5 in increasing order.\nAnswer: -9, -1, 0.01, 1\/7, 1\/5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Do -284484 and -284312 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 193398 and 48478432.\nAnswer: 145435296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-14)\/(-207))\/((-20)\/(-1470)) + -18 + 24 + -11\nAnswer: -2\/69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -41 + 50. Which is smaller: v or 12?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -10428259, -10428248, -10428237, -10428226, -10428215, -10428204?\n\"Answer: 11*x - 10428270","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1042969 and 2434.\nAnswer: 1217","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -12*n**3*s**2 - 2*n**3*s - 70*n**3 - n*s**4 - 6 wrt s.\nAnswer: -24*n**3*s - 2*n**3 - 4*n*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 71.73202mg to grams.\nAnswer: 0.07173202","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 612\/54*(0 + (-45)\/(-6)) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3142269.941 to the nearest one hundred thousand.\nAnswer: 3100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2*(-1)\/3 - (-682)\/33. Suppose -4*w + 6*w - 5*i - 45 = 0, w = 2*i + r. Let f = 2 - 1. Calculate the smallest common multiple of f and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4645 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 12937709?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let g = 942.99 - 943. Which is the nearest to g? (a) 5 (b) -2\/3 (c) -1\/4 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1438 + 1437. Which is the second smallest value? (a) o (b) -2\/7 (c) 15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j\/((j*j\/(j*j*j**(2\/11)*j)*j)\/j*j)*j))\/(j*j\/(j\/(j\/j**(-6)))))\/(j**3)**14 assuming j is positive.\nAnswer: j**(-563\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2\/(-176))\/((-4)\/4776). Let o = i - 55\/4. What is the second biggest value in o, -0.4, -0.5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 50129982571\/5617710 + 13270464\/8917. Let u = 17849\/63 + n. Let g = -10705 + u. What is the common denominator of 7\/8 and g?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*3.67.\nAnswer: 22.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-7)\/y*y*y*y**(2\/13))\/(y**(-2\/3))**(-1\/10)*y**(-1)\/y**(1\/5)*(y*y**1)**(-32) assuming y is positive.\nAnswer: y**(-13867\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 35 and 549560?\nAnswer: 3846920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -48706200 to the nearest one million.\nAnswer: -49000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 3*u**2 - 148. Let o be i(0). Let f = o - -248. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = 5*k - q, -18*k - q + 8 = -15*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/6554 and 91\/60.\nAnswer: 196620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 260, 368, 378, 296, 128, -120?\n\"Answer: o**3 - 55*o**2 + 266*o + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1154849103 to the nearest integer?\nAnswer: 1049","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from exxxex. What is prob of sequence xxxe?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -2*c. Let b be z(-3). Let y(i) = i - 3. Let t be y(b). Suppose -6*s + 60 = -s - 2*a, 5*s = t*a + 55. What is the greatest common factor of 28 and s?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p when three letters picked without replacement from {p: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -3\/3057530?\nAnswer: -3\/3057530","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2*-1)\/((-2)\/4). Let r be ((-1092)\/195)\/(44\/(-30)). Which is bigger: r or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-10 - -79) + (68 - (-26 + 85))\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 2 l, and 1 u when four letters picked without replacement from btxllxtu?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and 2744?\nAnswer: 13720","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = 5*x - 630, 63*m + 8 = 65*m. What is the remainder when 181 is divided by x?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -19 + 19. Let l(k) = -k - 8. Let f(u) = -3*u - 10. Let t(s) = s + 1. Let q(x) = -f(x) - t(x). Let n(j) = -3*l(j) - 2*q(j). Give n(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -39 < 248?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 1012*d**2 + 1010*d**2 + 2 + 12589*d - 1.\nAnswer: -2*d**2 + 12589*d - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 m when two letters picked without replacement from imtnn?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from {z: 5, r: 15}.\nAnswer: 21\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -221, -1350, -4255, -9800, -18849, -32266, -50915?\n\"Answer: -144*u**3 - 24*u**2 - 49*u - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.01 in -2.1, -4, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-120)\/32)\/((-108)\/(-144)) - 158\/(-34)?\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o + 4*l = -7, -2*l + 7*l + 10 = 5*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6.5 + -7. Let f = y - -0.1. Suppose 2*h + 5*m + 5 = 4*m, -3*h - 4 = -2*m. What is the second biggest value in 0.1, f, h?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (14\/49*7\/(-16))\/((-90)\/72)\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1596*n + 195 = -1609*n. Which is smaller: n or -9?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -60 - -49.8. Round i to 0 dps.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:30 PM and 9:48 AM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*i = 59*i + 241. What is the hundreds digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -334.4 + 334.4968. What is p rounded to 2 dps?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bzbc. Give prob of sequence zb.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12 - 0 - (-72 - -63)) + (-1 - 9)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -16.1 - -15. Let f = i - -2.1. Which is the second biggest value? (a) 3 (b) f (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29 - (6 + -20 + -5).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -6*s - 1. Let p be v(-1). Let t = -60 + 64. Which is the third smallest value? (a) -2\/3 (b) p (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 130 = 18*a + 8*a. Suppose a*u = 2*s + 9, -3*s + 7*s - 21 = -3*u. What is the highest common divisor of u and 105?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 17*p**3 + 170*p**2 + 11*p - 10. Let t(h) = -8*h**3 - 78*h**2 - 5*h + 5. Let s(c) = -6*n(c) - 13*t(c). What is s(4)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/(-12))\/((-140)\/(-105))*(-52)\/(-4)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 25514 - 25514. What is the nearest to -1 in -0.01, r, 4\/149, 0.5?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from tzlxtggmxmmt.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 - (27 + (144 - 198))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -14 (b) 5 (c) 0.78 (d) 1\/26 (e) -0.18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 124\/1953*(-13)\/(52\/(-28))?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -1245*g**2. Let i(k) = -k**2. Give a(i(c)).\nAnswer: -1245*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w - 22*w + 51 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 81*p + 5 - 21 + 4 + 6.\nAnswer: 81*p - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 7, m: 4}. What is prob of picking 2 q and 1 m?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 523*r**3 + 1239*r**2 + 3720*r**2 - 524*r**3 - 2963 wrt r?\nAnswer: -3*r**2 + 9918*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j + 59 = -3*s, 41079 = -2*j + 3*s + 41131 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 3 = -y. Suppose 5*q - y*t - 12 = -55, -3 = q + 5*t. Let k(d) = d**2 + 10*d + 20. Let x be k(q). Calculate the greatest common factor of x and 36.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3 - 1 - (0 + 0). Let i(c) = 11*c**2 + 3*c + 2. Let n be i(-1). Solve w*b = 4*b + n for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*c - 493*t + 489*t = 94, -2*t - 4 = c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 + -1 - 8\/2. Sort 2\/3, 4, x in descending order.\nAnswer: 4, 2\/3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000003987 rounded to 7 decimal places?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2696 is divided by 169.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**2 - 7*k + 2. Let m be x(7). Suppose -15 - 5 = m*f. Let g = -4 - f. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-22)\/((-880)\/78) - 2)\/(14*15\/14280)\nAnswer: -17\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -6*g - 15. Let x be o(-8). Differentiate -2*k**2 + 16*k - 93 + 31 - 72 + x wrt k.\nAnswer: -4*k + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 31 = 11. Suppose -66 = -4*u - 2*y, i*u - y + 4*y = 82. Let t(c) = -c**2 + 6*c + 1. What is the remainder when u is divided by t(4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s**4\/4 + 407*s**3\/4 - 62*s**2 - 41*s = 0. What is s?\nAnswer: -82, -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.06 - 2.1. Let p = -0.04 - z. Let j = 1 - p. Is 0.4 <= j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/15)\/((-9)\/30).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -2*c - 5*o, -3*c - 7*o + 2*o + 39 = 0. Suppose 4*v = -v. Suppose 6 = -2*j, s + v - c = j. Is 15 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 563 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: Suppose -n + 2 = 5*i - 1, -67 = -5*n + i. Sort n, 1, 0 in decreasing order.\nAnswer: n, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n - a + 13, 4*n + 7 - 19 = -4*a. Suppose y = -n, 2*q = 5*q + 4*y - 841. Does 35 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9858628?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange y**3 - 2899*y**2 - 12*y - 2 + 2899*y**2 to u*y + j*y**2 + p*y**3 + z and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1\/8, 12, -5?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 19201 divided by -7\nAnswer: -2743","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d + 2*d - 6. Let f = -1 + 3. Let z(i) = -i**2 - 11*i - 32. Let k be z(-6). Put f, d, k in decreasing order.\nAnswer: f, k, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -947, -942, -935, -926, -915, -902, -887?\n\"Answer: j**2 + 2*j - 950","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the third derivative of -x**6\/3240 + x**5\/90 - x**4\/6 - 26*x**3\/3 - 13*x**2. Let q(p) be the first derivative of b(p). Factor q(d).\nAnswer: -(d - 6)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -55*o**3 + 8*o**2 + 4*o - 8. Let j(h) = 13*h**3 - 2*h**2 - h + 2. Calculate -9*j(g) - 2*q(g).\nAnswer: -7*g**3 + 2*g**2 + g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes before 11:03 AM?\nAnswer: 11:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*s + 19627000 = -8*s. What is s rounded to the nearest 10000?\nAnswer: -1030000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 784 and 1568?\nAnswer: 1568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 220 = 27*r - 23. Suppose 3*l + 1881 = 3*m, r*l = -5*m + 8*l + 3159. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i*i\/(i\/i**(-28)))**16)**(-4\/15) assuming i is positive.\nAnswer: i**(1664\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 62677?\nAnswer: 233, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -3*i + 64 + 51, -150 = -4*i + p. Calculate the greatest common divisor of i and 296.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1034 - -1039. Let j = 4 - 3. Put -2, s, j, 3 in increasing order.\nAnswer: -2, j, 3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * 1383.\nAnswer: 1383","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -408, -97, 224, 561, 920, 1307, 1728, 2189?\nAnswer: 2696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 271476 to the nearest integer?\nAnswer: 521","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t when three letters picked without replacement from tttttttttt.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10 - 15. Let s(w) = 2*w**2 + 31*w - 23. Let h be s(-16). Sort a, -3, h in descending order.\nAnswer: -3, a, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5447\/2530 + -3\/1012. Find the common denominator of 103\/74 and t.\nAnswer: 740","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 7 + (308 - 294).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2604355, 5208712, 7813069?\nAnswer: 10417426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/((-1290)\/(-55))*16\/(-198)*-6?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.238 - -0.028. Sort y, 2\/11, 4, -1\/7 in increasing order.\nAnswer: y, -1\/7, 2\/11, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1383634656?\nAnswer: 2, 3, 31, 51659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d\/(d*d*d*d**1)))**42\/(d*(d\/d**1)\/d*d*d*d*d**(3\/8)))\/((d\/(d\/(((d**(1\/9)\/d)\/d)\/d)))\/(((d*d**(-3))\/d*d)\/d))**(3\/23) assuming d is positive.\nAnswer: d**(90865\/552)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -19*x**4 + 3*x**4 + 0*x**4 - 3*x**4 - 2*x**4 + 4*x**4 + (x - x - x**2)*(-4*x**2 + 2*x**2 + 3*x**2).\nAnswer: -18*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 351182?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**2 - 2892*v - 111331584.\nAnswer: (v - 12096)*(v + 9204)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4011, -8022, -12033, -16044?\nAnswer: -20055","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f\/f**4))\/(f*f*(f*f**10)\/f*f*f*f*f))\/(f**(-2\/33)*f**(-1\/12)) assuming f is positive.\nAnswer: f**(-1565\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 4*r + 12. Let u be ((-20)\/(-30))\/(2\/(-57)). Let a = r - u. What is the greatest common divisor of a and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2263 and 2635?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17 + -8. Suppose -5*l - m = -2*d, 4*d + 0*l - 10 = 2*l. Let p be 66\/14 - 2\/(-7). Which is the closest to 0.2? (a) d (b) -0.4 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 - (-14 + 6)) + 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 7*a + 48. Let k = a + 9. Let g = k + 5. Solve 4*p + 15 = -g*r + r, -r - p = 3 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -77\/62746800 and 93\/32.\nAnswer: 125493600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r - 10 = 0, -2*r + 3 = 4*n - 1 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -7, -4, -0.8, 116?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 34761 divided by 4\nAnswer: 34761\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - c - 39 = 0, -47 = -2*q + 5*c - 8. Suppose 6 = q*y - 13*y. Let n(p) = 3*p + 8. Determine n(y).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the second derivative of -1259*k**4\/6 + 3*k**3\/2 - 81*k**2\/2 - 2*k + 34. Let d be j(7). What is d rounded to the nearest ten thousand?\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/7 + 2\/7. Let z(j) be the third derivative of 1\/180*j**5 + 0 + 2*j**2 + s*j**4 - 1\/18*j**3 + 0*j. Factor z(l).\nAnswer: (l - 1)*(l + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 378 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5712736 by 17104.\nAnswer: -334","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 2*k**2 + 13*k + 6. Let v be o(-6). Let j(a) be the third derivative of v*a + a**2 + 0*a**4 - 1\/30*a**5 + 0 - 1\/60*a**6 + 0*a**3. Solve j(y) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**3 - 8*q**2 - 8*q - 26. Let f be u(-8). Let t = f - 35. Solve -7*v - t + 10 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 3*j + 3 = 0, -q + 29 = -2*q + 5*j. Let i = q + 11. Suppose -25 = 5*k, -4*k - 38 = -3*t - 3. Sort -5, i, t.\nAnswer: -5, i, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(3*sqrt(153)*2 + sqrt(153)))\/(sqrt(54)\/(sqrt(60)\/(sqrt(60)\/sqrt(6)))).\nAnswer: 42*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the third derivative of l**5\/60 + 75*l**4\/4 + 979*l**3\/6 - 2*l**2 + 610. Differentiate w(m) wrt m.\nAnswer: 2*m + 450","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-6))\/((-12)\/480*4).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -287902.\nAnswer: -1\/287902","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/24 and -83\/126.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*o - 7 - 149 - 114. Let v(a) = a**3 - 11*a**2 + 11*a - 7. Let f be v(10). What is the third smallest value in f, o, 0.3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence amt when three letters picked without replacement from {t: 3, a: 2, m: 7}?\nAnswer: 7\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 79 divide 305481308?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4\/199327 + 4185859\/398654. Find t such that -39\/2*t**3 + 39\/2*t + 9\/2 + d*t**2 - 15*t**4 = 0.\nAnswer: -1, -3\/10, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24883 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -4*r - 7 - 4 + r**3 + 7 + 0*r**2 + r**2. Let g be n(-2). Solve 3*t + 2*c - 1 + 17 = g, 5*c + 2 = 2*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5503569?\nAnswer: 3, 1834523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 10\/((1\/2)\/1). Find the second derivative of -x + 20 + 2*v**2 - v wrt v.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**2 - 2. Let w = 61 - 61. Let t be (w + (-2 - -5))*(-4)\/(-6). Determine a(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -v + 16, 2*v + 2*v - 72 = 2*g. Suppose v + 4 = 4*h. Calculate the least common multiple of (12\/21)\/((-3)\/(-21)) and h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n\/(n\/((n\/n**(-1\/7))\/n)))*n)\/(n\/((n**(-3)*n)\/n)))\/(((n*n**(2\/27))\/n)\/(n**(-7)\/n)) assuming n is positive.\nAnswer: n**(-1931\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 50520 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 5 + 2*x + x**2 - 2 - 5 - 4*x. What is the units digit of n(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from {y: 9, c: 4, v: 1, b: 3, x: 2}?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**2 + 8*r + 4. Let p be a(10). Let k = -14 - p. Solve -2*i = -3*i - 4, 0 = k*q + 3*i + 6 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 8\/95, 0, -953, -0.5, 0.01?\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000075696 to 6 decimal places.\nAnswer: -0.000076","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1661198?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 969\/5693 or 0?\nAnswer: 969\/5693","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(1\/4))**(6\/11)*((k**(-1)*k)\/k*k)**(-36) assuming k is positive.\nAnswer: k**(3\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.5 (b) -1\/4 (c) -3\/157 (d) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l**2 + 3*l**2 + l**5 + (10*l**4 - 7*l**4 + 7*l**4)*(-1 + l + 1))*(-548 + 228 + 59)*(-2 - 4 + 4).\nAnswer: 5742*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-14)\/4)\/((-22533)\/(-4292)))\/((-4)\/11).\nAnswer: 11\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 8227*v - 11. Give w(0).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) 4 (c) 1\/2 (d) -42.4 (e) -0.2 (f) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -2*p**2 + 40344260*p - 40344260*p. Let a(l) = 97*l + 3. Calculate r(a(q)).\nAnswer: -18818*q**2 - 1164*q - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the first derivative of -l**2\/2 - 10*l + 181. Calculate x(10).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 84 and 8.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1104 + -22213?\nAnswer: -21106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -191448 divided by -700?\nAnswer: 47862\/175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 948024 and 3.3?\nAnswer: 948020.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 206252.66 to the nearest ten thousand.\nAnswer: 210000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-4 + 1*sqrt(891)) - ((0 + sqrt(891) + 0 - sqrt(891)) + -5)) + -4.\nAnswer: -15 + 36*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**2 - 11*m + 13. Let l be s(10). Suppose g - 9 = -l. Let y(h) = h**3 - 7*h**2 + 6*h - 6. Calculate y(g).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes after 11:50 AM?\nAnswer: 1:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b**4\/5 + 9*b**3\/5 - 162*b**2\/5 = 0. What is b?\nAnswer: -18, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve s = -4*u - 22, -4*s + 2*u = -25 + 23 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -109*v**2. Let l(a) = -10997*a**2. Determine w(l(h)).\nAnswer: -13181806981*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 - -2)*(114 + -3). Suppose -p = -2*l - l. Calculate the remainder when l is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17 divided by -4403294\nAnswer: -17\/4403294","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*k**2 + 3*k**2 - 3*k**2 as t*k + i + d*k**2 and give d.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -104 - -130. Round l to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -2*q**5\/17 + 936*q**4\/17 + 28286*q**3\/17 + 266980*q**2\/17 + 697800*q\/17 - 994000\/17 = 0.\nAnswer: -10, 1, 497","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -47 + 49. Let l(d) be the second derivative of -2*d + 1\/8*d**o + 0*d**3 + 0 - 1\/48*d**4. Factor l(a).\nAnswer: -(a - 1)*(a + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 65 = -4*d. Let f(x) = -957 - 973 + 8*x - x**2 + 10*x + 1909. What are the prime factors of f(d)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -247433.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-4)*1 + (-93)\/(-2). Suppose -6 = 4*h - v. Let u(y) = y - 16. Determine u(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2\/3)\/((-2)\/(-21)). Let c be (2\/(-4))\/(b\/(-84)). Let h be 5600\/c*210\/(-7). What is h rounded to the nearest ten thousand?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14718?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -38, -79, -122, -167, -214?\nAnswer: -263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6238 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the first derivative of -27*f**2\/2 - 82*f - 110. Let h be z(-4). Solve -3*g = -g + 4*j + h, -j = -4*g - 7 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from smm. Give prob of sequence ss.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the second derivative of v**4\/12 + 11*v**3\/3 + 51*v**2\/2 - 164*v. What is m(-20)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -3*y + 9, 0*y = 2*y - 4*m - 36. Let t(a) = 3*a + y*a - 6*a + a. Let x(p) = 3*p. Determine t(x(b)).\nAnswer: 18*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 19 + 9 = 0. Suppose -7 = -2*v - 3*s, -3*v - h*s = -5 - 7. Find the common denominator of -9\/11 and v + (-1)\/22*-130.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 262927297?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3\/10, 4, -146 in descending order.\nAnswer: 4, -3\/10, -1, -146","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.686 (b) -2 (c) -519 (d) -21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -2*s**3\/13 - 32*s**2\/13 - 70*s\/13 + 8 = 0.\nAnswer: -13, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36 - 28 = z - 2*j, 14 = 2*z - 3*j for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -592 divided by -148\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 442640 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -15 - -10. Let q = z + 1. Which is the nearest to 0? (a) q (b) 5 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0\/(-12 + 1 + 10). Let j(k) be the third derivative of -4\/3*k**3 + 0*k + o*k**4 + 0 - 12*k**2 + 1\/60*k**5. Differentiate j(z) wrt z.\nAnswer: 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*o - 70 = -28. Suppose -o*m = 2*v - 17, 4*v = -3*m + 9*v + 52. Let b = -19 + 34. What is the highest common factor of b and m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4856 + 4897. What is the lowest common multiple of h and 11?\nAnswer: 451","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 11*h + 54. Let c be o(17). Suppose c = -3*g + 970. What are the prime factors of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.29 - -1.29001103. What is x rounded to 6 decimal places?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 8) + (2573 - 2565).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20 (base 3) to base 13.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.7*0.043.\nAnswer: 0.0731","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the first derivative of 4*v**3\/27 + 1696*v**2\/3 + 719104*v + 5759. Solve p(q) = 0.\nAnswer: -1272","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -6*g + 36. What is the smallest common multiple of g and 288\/40*(90\/27 + (-2 - -2))?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -783\/2793893 or 1?\nAnswer: -783\/2793893","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**2 - 4. Let p be d(0). Let x be (-8)\/4 + 0 - p. Solve 30 = 4*w - 5*j, -j + x = -2*j for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -239.8 minus 205?\nAnswer: -444.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*l + 15*l = -2. Suppose l*i + 14 = 60. What is the remainder when i is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 2*n = 59 - 3, -2*n - 99 = -3*x. Suppose x = 4*l + 15. Solve -3*g + 6*g + 3*h = 6, 3*h = l*g - 22 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/3 of a decade?\nAnswer: 280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the second derivative of 0*k**5 + 0 + 7\/30*k**6 + 0*k**3 - 3*k**2 + 0*k**4 + 5*k. Differentiate z(g) with respect to g.\nAnswer: 28*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -2*d**2 + 5*d - 18. Let q(i) = -3*i**2 + 7*i - 27. Let o(f) = 8*b(f) - 5*q(f). Let t be o(4). Sort 2, t, 4, -3 in descending order.\nAnswer: 4, 2, -3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2184)\/(-572)*(-22)\/4\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the second derivative of 3\/7*k**3 - 153 + 0*k**2 - 2*k + 1\/126*k**4. Factor n(u).\nAnswer: 2*u*(u + 27)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 84\/(-91)*(-13)\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/(p**(2\/13)\/p)*p**(-5))\/(p**(-9)\/p*(p\/p**5)\/p))**(-10))**50 assuming p is positive.\nAnswer: p**(-77000\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-2*(sqrt(110) - (2*sqrt(110) + sqrt(110))) - -2*(sqrt(110) + sqrt(110)*-1 + sqrt(110)))\/(sqrt(1210) - (sqrt(1210) + -4*sqrt(1210)*-4)))**2.\nAnswer: 81\/176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1376)\/2924)\/(56004\/(-663)).\nAnswer: 2\/359","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5576, 44716, 151060, 358238, 699880, 1209616?\nAnswer: 1921076","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2776524156 to the nearest integer?\nAnswer: 1406","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -4239*d + 4136*d - 19*d**3 + 21*d**3 in the form h + z*d**2 + i*d**3 + q*d and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes before 4:33 PM?\nAnswer: 8:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((p\/p**(-3))\/p*p)\/p)\/p**(-2\/13))**(-22)*p**(1\/4)*p\/(p**(1\/5)*p*p)*(p**(2\/7)*p)\/(p**(-1)*p*p) assuming p is positive.\nAnswer: p**(-127489\/1820)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -112 - -22303013012?\nAnswer: 22303012300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 18, -3, 0.08, 0.3, -9 in descending order.\nAnswer: 18, 0.3, 0.08, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -u**2 + u**2 - 2*u**2 - 19*u**6 - u**2 wrt u?\nAnswer: -2280*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 170 and 148495?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11 + -7. Let y be (-110)\/15*(-6)\/x. Suppose -7*d + 3*d = -2*f - 2, d - y = -f. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 66.02813ug?\nAnswer: 0.00006602813","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**3 - 8*j**2 + 3*j - 76. Calculate a(-9).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/3, 50, 12.67, -10?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, z: 3, t: 15}. What is prob of picking 1 c, 1 t, and 1 z?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10*f**4 + 31*f**3 - 4*f**2 + 92*f wrt f?\nAnswer: -240*f + 186","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 - -7. Let j(f) = f**3 - 2*f**2 - 3*f + 3. Let d be j(3). Solve 4*t = d*o - 5, 0*o + 3 = -r*o for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -c**4\/2 + 1209*c**3\/2 - 60889*c**2\/2 + 840075*c\/2 - 723125 = 0.\nAnswer: 2, 25, 1157","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**2 + 5*k. Let z be s(3). Let m be 4*(-1)\/(4\/(-7)). Which is smaller: z or m?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.11 times 7.1\nAnswer: -0.781","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 168.99949 - 169. What is n rounded to 3 dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(160)*-1*-3)\/sqrt(4))\/((((sqrt(88) - sqrt(88)*1 - sqrt(88))\/sqrt(11) - sqrt(8)) + sqrt(8))*2).\nAnswer: -3*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + 1 = -324*b + 329*b - 0*x, 0*b - 5*b - 4*x + 4 = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -383989.19619 minus 55?\nAnswer: -384044.19619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l + 88*l = -181*l - 53*l - 37236 for l.\nAnswer: -116","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 426, 211, -146, -645, -1286?\nAnswer: -2069","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 8 = 5*q - 11, -x - 13 = -3*q. Suppose 0 = 3*z - 5*z - x. What are the prime factors of (-1)\/(z - 2)*6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5038 + 25895. Let k = h + -144664\/7. Let s = -191 + k. Which is the nearest to 1? (a) -1 (b) s (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 28129 and 11170882?\nAnswer: 1223","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 965683 by 2767.\nAnswer: 349","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - 3 - -54*14\/196.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add -380008410403.47 and 0.1.\nAnswer: -380008410403.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -470834 times 9?\nAnswer: -4237506","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4 and 1132?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 637*z + 3 + 506*z + 1390*z.\nAnswer: 2533*z + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -4*i**2 + 4*i - 5. Let v be y(1). Let m be 3 + (-80)\/24 - v\/12. Factor m*a**2 + 1\/3*a + 1\/4.\nAnswer: (a + 1)*(a + 3)\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and 0.02029.\nAnswer: 0.04058","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 942616 divided by -68?\nAnswer: -13862","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirty-one halves of a decade?\nAnswer: 1860","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -17 - -157. What is the hundreds digit of q\/(-420) - ((-2450)\/3)\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1173 at least as big as 1174?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 200 divide 18922600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 - h)*(3*h - 3*h - h) + ((-3*h + 3 - 3)*(0 + 3 - 4) - 23 + 9*h + 23)*(-h + 3*h + 0*h) to p*h**2 + o + d*h and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**2\/6 + 47*g\/3 + 31\/2.\nAnswer: (g + 1)*(g + 93)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*p**2*u**2 - 7*p**2*u - 2*p**2 + 2*p*u**2 - 31*p + 244*u**2 wrt u?\nAnswer: -6*p**2 + 4*p + 488","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**2 + 4*z - 3. Let i be p(2). Let d be 2\/(-3*(-3)\/i). Solve -t = d*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 298121 rounded to the nearest ten thousand?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the third derivative of -1\/24*i**4 + 3*i**2 + 0 + 0*i + 1\/6*i**3. Give k(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**3 + 4*t**2 - 7*t - 6. Let k be d(-4). Let f(c) = -2*c - 1. Let b be f(-1). Let i be 22 + (b - 2) - -2. Which is smaller: k or i?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 3*h**2 + 1. Let g be y(-1). Let n be 5\/((-5)\/6) + (-18)\/(-3). Solve n = g*d, 0*v + 2*v = -4*d + 10 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 10 = -2*i. Let n(m) = m**2 + 4*m - 2. Let p be n(i). Put -4, p, 1 in descending order.\nAnswer: p, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 8*r**2 - 128*r + 192. What is c(14)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 287 + -21. What is the greatest common factor of m and 76?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 2 - ((-6 - 2) + 0).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 21120220210 (base 3) in base 2?\nAnswer: 100100011110001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13545 is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 392.3 + -392.2. Let n be -6*((-2)\/(-8))\/(-1). What is the closest to x in n, 0, 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 126697 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*u - 280 + 35*u - 304 - 17*u.\nAnswer: -u - 584","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -4*n + 9. Let a(v) = 3*v - 8. Let r(c) = 3*a(c) + 2*l(c). Give r(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 2*z + 47. Let c = 1367 - 1367. Give n(c).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1222 (base 3) to base 11\nAnswer: -49","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-13))\/(8\/4 + -5 + 5)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8 - -4. Which is the second smallest value? (a) 4 (b) 1\/4 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 916437*n. Let z(b) = -b. Give z(v(s)).\nAnswer: -916437*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 4, c: 14}. What is prob of picking 4 c?\nAnswer: 1001\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 36223 (base 7) to base 16\nAnswer: 24a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u + 7. Let b(w) = -w**2 - 8. Let o be b(0). Let k be j(o). Let l be 1\/(((-3)\/15)\/k). Solve 2*i + l = 3*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 428 - 9381\/22. Let p = d + -12\/11. Solve p + 1\/4*y**5 - 1\/2*y**3 + 1\/4*y - y**2 + 1\/2*y**4 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 5 + 5*m - 4*m + 2*m - 2*m. Determine k(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/10152808 and -111\/10.\nAnswer: 50764040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**2. Let m(u) = 3*u**2 - 227*u - 100. What is m(n(k))?\nAnswer: 3*k**4 - 227*k**2 - 100","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6256)\/36 - 4\/18. Let x = c + 1568\/9. Let o(y) = -y + 3. Let a be o(4). Which is bigger: x or a?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24096242 is divided by 239.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**3 + 24*s**2 + 41*s + 25. Let j be m(-22). What is the highest common factor of j and 56?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6746 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**3 - 13*j**2 - 12*j - 9. Let m be x(-12). Let v(l) = 1 + 1 + 9 - 2 + l. Let h be v(m). Solve -p - i + 6 = h, -i - 3 = -3*p + p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/10878 and -50\/33?\nAnswer: 119658","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 578\/153 - (-2)\/9. Let v be h\/22 - 3*4170\/198. Let d = v + 83. What is the remainder when d is divided by 14?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9*c**2*x**5 - 4*c**2*x**2 - 54*c**2 + 2*x**6 wrt x.\nAnswer: -540*c**2*x**2 + 240*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tvhv when four letters picked without replacement from {h: 2, q: 1, v: 3, c: 2, z: 1, t: 9}.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 868*g**2 - 9*g + 23. Let c be q(5). Suppose j - 2*j + 3*d + 21668 = 0, -d - c = -j. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17672 is divided by 30.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10307 + 19014. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.7945 to the nearest integer.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82 = 3*v + 76. Suppose o + 4*j = 136 - 7, -v*o = -5*j - 271. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, j: 1, y: 1, t: 1, n: 1, i: 2}. What is prob of picking 1 t, 1 i, and 1 y?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fubuuurbbububbrlb. What is prob of picking 1 l, 1 b, and 1 r?\nAnswer: 7\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -56, -211, -472, -845, -1336, -1951?\nAnswer: -2696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1305 + -37849\/29. Are j and -0.1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9*(-14)\/(-7)*(-5)\/(-10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l + 14. Let b be g(5). Let w be 42\/b + -4 + (-14)\/(-6). Suppose o = -3*o + w*n + 18, 0 = 3*o - 5*n - 8. Solve -2*d - d = -o for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 95*h**2 + 18*h + 13. What is the tens digit of y(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m - 5*c + 51045, c + 70073 - 19034 = 5*m. Is m a multiple of 88?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the third derivative of -n**3\/6 - n**2 - 19*n + 4. Let i(o) = -2*o - 12. Determine i(f) + 4*w(f).\nAnswer: -2*f - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 78*f - 19*f - 60*f + 3.\nAnswer: -f + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m**5 + 32*m**4 + 57*m**3 - 98*m**2 - 244*m - 120 = 0. Calculate m.\nAnswer: -30, -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/248*-10)\/((-2216)\/1108)?\nAnswer: 5\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.045 + 0.025. Let s = 0.12 + n. Suppose 3*v + 4 = 2*w, -3*v - w + 5 = -6. What is the nearest to s in -5, 1\/2, v?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 2489*x**2 + 2509*x**2 - 4997*x**2 + 11*x + 24. Determine d(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -753881 rounded to the nearest 10000?\nAnswer: -750000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.22 - -1104.17.\nAnswer: 1104.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((-1)\/(-1))*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h - 3*h - 87 = 0. Suppose h = -3*b + 4*b. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 6 - 2*f + f**2 + 6*f - 6. Let s be a(-5). Let p be s + 4*-1 + 2. Solve 10 = 2*b + r, -p*b + 2*r - 3*r = -13 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 296 and 37962.\nAnswer: 151848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 145 - 305 = -5*a, -2*a = -i - 180. 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 second smallest value in -2, -93, 0.2, 2.6?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(78) + -2*sqrt(78))*2*-3)\/(sqrt(600)*1 + sqrt(6) - sqrt(24)\/(sqrt(4) - sqrt(64))).\nAnswer: 9*sqrt(13)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 203*g**3*k**3 - 438*g**3 + 3*g**2*k**4 wrt k.\nAnswer: 609*g**3*k**2 + 12*g**2*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**3 - 46*o**2 - 205*o + 26. Let i be z(-41). Solve 3*k + 18 = -3*x, -4*k = -10*x + 15*x + i for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -5*v + 2. Let a(u) = -u + 1. Let c(j) = j - 1. Let r(n) = 2*a(n) + c(n). Give 4*r(q) - 2*x(q).\nAnswer: 6*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(28)\/sqrt(4))**2*-1.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*j + 10*j - 570 + 961 = 0 for j.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*r**2 - r**2 + 6*r**2 + 9 - 1 - r to the form b*r + o + k*r**2 and give o.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes after 2:06 PM?\nAnswer: 8:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11 - -17. Let o be (34\/g)\/(1\/(-15)). Let b = -13 - o. Is 23 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**3 + 4*a**2 + 5*a + 2.\nAnswer: (a + 1)**2*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6870, -13974, -21078, -28182?\nAnswer: -35286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 593 greater than or equal to 589?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -6*s**2 + 17*s + 85. Calculate j(-4).\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.5, 74, -5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -106172 divided by -836\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 63\/(-12)*256\/(-96)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*q = -7 + 7 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 2*d - 3. Suppose 29 = -2*a + 27. Put 15, d, a in decreasing order.\nAnswer: 15, d, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 1)*(419*f**2 + 5 - 834*f**2 + 421*f**2).\nAnswer: -12*f**2 - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:18 PM and 11:13 AM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the first derivative of -1 - 4*t + 10\/3*t**3 - 3\/2*t**2 + 1\/4*t**4. Does 5 divide d(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*m - 145434 - 150246. Is m a multiple of 120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**(1\/3))**(-2\/47))**(-3\/10)\/(z**(1\/4)*z**(1\/2))**(-8\/3) assuming z is positive.\nAnswer: z**(472\/235)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -344*d**3 - 47*d**3 - 384*d**2 + 384*d**2 - 39 wrt d?\nAnswer: -1173*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the second derivative of -n**7\/189 + 8*n**6\/135 - n**5\/6 - 10*n**4\/27 + 76*n**3\/27 - 16*n**2\/3 + 486*n. Let d(u) = 0. Calculate u.\nAnswer: -2, 1, 2, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 456*w - 98. Let d be s(2). Suppose 5*a = 4*h - d, -61*h - 2*a = -63*h + 408. What are the prime factors of h?\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes after 9:19 AM?\nAnswer: 8:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -2*u - 7 - u + 4*u - 1. Let v be y(6). What is the remainder when (-173)\/(-2) + v\/(-4) is divided by 30?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -w**3 + 145*w**3 - 142*w**3.\nAnswer: 2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 - -6. Suppose -3*y + 7 = 2*n + 2*n, w*n - 22 = 2*y. Suppose -v + 5*v = -n. Sort 4, -5, v in decreasing order.\nAnswer: 4, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**2 - 19*k + 48. Let n be g(18). Let l be 0\/2 - 17\/(-1). Let d = n - l. What is the greatest common factor of 65 and d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3.4*-611.554\nAnswer: 2079.2836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y + 3*f + 21, 5*y + 2*f = 3*f - 11. Let n be y\/(-1) - -1 - 0. Solve g - 6 = 3*i - 2*i, 3 = -3*g - n*i for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 42\/5 of a century?\nAnswer: 84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -42*x**2 - 138*x - 88. Calculate d(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(132) + -4*(sqrt(132) - (sqrt(132) - sqrt(132)*-2)))*5)\/((2*sqrt(36)*1)\/sqrt(3)).\nAnswer: 45*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the second derivative of 11*h**6\/10 - 23*h**2 + 36*h. Differentiate f(b) wrt b.\nAnswer: 132*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k. Let d(v) = -2*v**3 - 1. Let u be d(-1). Let c be -2*(3 + u)\/(-4). Suppose i - 3 = c*g - 2, 5*i + 19 = -2*g. Calculate p(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*v + 58027 + 23558 = 0. Suppose v = w + 2*s, s = w - 5*w + 21728. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 6, d: 5, v: 4, p: 5}. What is prob of sequence vy?\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1811 = 15*t - 761. Let x be (8\/(-2) - -1) + (-190)\/t. Which is smaller: x or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1009 is divided by 327?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 23 or -8?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12 + -10. Let q(u) = u - 4*u - u**z - 4*u**2 - 6*u**3 - 3*u**2. Let j(k) = -2*k**3 - 3*k**2 - k. Calculate 8*j(a) - 3*q(a).\nAnswer: 2*a**3 + a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -117319.7 to the nearest ten thousand.\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/390*-13*10*36\/(-30).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*(j\/(j*j**(-8)))\/j*j)**(-48)*(j**(-3\/7))**39 assuming j is positive.\nAnswer: j**(-3141\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/121 less than -1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the third derivative of -o**5\/360 - 7*o**4\/144 - 5*o**3\/18 - 23*o**2. Factor c(p).\nAnswer: -(p + 2)*(p + 5)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (-40 + (-714)\/(-51)).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1ab (base 14) to base 7.\nAnswer: -1004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes after 1:59 PM?\nAnswer: 6:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (77\/693)\/(3\/351).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -204719, -409661, -614601, -819539?\nAnswer: -1024475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the second derivative of -o**5\/5 + 9*o**2\/2 + 14*o. Is y(-5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*r - 2. Let w(a) = 0*a + 3 + 14 + r*a - 2*a. What is the units digit of w(-9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**2 - n - 2. Let x be z(0). Let r(g) = 2*g. Let w be r(x). Let y be 1 - (-1 - w - 0). Is y at least -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(208\/65)*-2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2203750?\nAnswer: 2, 5, 41, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -63056 or -63571?\nAnswer: -63571","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12 - 6. Suppose 4 = -2*x - q. Which is smaller: x or 1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -219*q - 3784 - 3266 = 4776 for q.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 139398 is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1\/9, 5, 0.02 in ascending order.\nAnswer: 0, 0.02, 1\/9, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 246*k**3 + k**2 - 654*k + 655. Calculate q(1).\nAnswer: 248","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*t - 45868644 + 45867885 = 0 for t.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -2*n**4\/17 - 16*n**3\/17 + 66*n**2\/17 = 0.\nAnswer: -11, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 70 + -49. Calculate the remainder when 61 is divided by h.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/2987 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56719.\nAnswer: 13, 4363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -77*p**2 + 84*p - 42. Let q(j) = -9*j**2 + 10*j - 5. Let a(z) = 42*q(z) - 5*r(z). Let c(g) = 2*g + 1 - 1. Determine c(a(n)).\nAnswer: 14*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/6 - 42\/(-9). Let a be (3\/(-17))\/(9\/(-60)). Let w = a - 174\/119. What is the nearest to 2\/7 in 5, w, l?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 21.1509491 + 269706.\nAnswer: 269727.1509491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1170903 is divided by 389.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/49? (a) -0.11 (b) -55 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-2\/29)*u**(1\/10) assuming u is positive.\nAnswer: u**(9\/290)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**3 - 5*a**2 + a + 4. Let f be j(-4). Let x = f - -9. Let y(o) be the first derivative of o**4\/4 + 8*o**3\/3 + 5*o**2\/2 - 6*o - 152. What is y(x)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 38700 to the nearest 10000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 540 and 4500?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rraa when four letters picked without replacement from {a: 2, r: 9}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 437437\nAnswer: -1\/437437","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 21 - 36. Let x(f) = -55*f - 28. Is x(s) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 1)*(88 - 88 - 15*z).\nAnswer: -15*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes after 1:19 PM?\nAnswer: 9:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 + 102 = 4*t. What is the third smallest value in 3, t, 0.4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -108 - -118. Calculate the least common multiple of w and ((-9)\/2)\/(20\/(-600)).\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-19976)\/72)\/(-11) - -16*14\/(-1008)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6259 + -6259.019. What is the nearest to 0 in 2\/9, -1, u, 4\/3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.5 from -4585.\nAnswer: -4584.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**3 - 6*j**2 + 6*j - 3. Let q be b(5). Suppose 0 = 4*h + 5*m, -4*m - 15 = h + m. Suppose 21 = q*w + h*a - 30, 0 = -2*w + 5*a + 21. Does 16 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 147525 = 382*x + 64*x + 1521*x for x.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 78 and 52?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (192\/(-20))\/((-3)\/(-2)). Is h at most as big as -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2762649 to the nearest integer?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -15143 (base 6) in base 16?\nAnswer: -987","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeveeveemuueveev. Give prob of sequence veu.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + (4 - ((-14 - -3) + 6 + 9)) + -68.\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmmw when four letters picked without replacement from mmmwmmmmmmmwmwmmmmmm.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31979 is divided by 10273.\nAnswer: 1160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f = 5*g + 15, -g - 8 = g for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*c**3*t*w**2*x - c**3*w*x**2 + 67*c**2*w**2*x + 13*c*t*w**2*x - c*t - 52*t*w**2*x**2 + 57*t*x**2 - w*x wrt x?\nAnswer: -2*c**3*w - 104*t*w**2 + 114*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*u**4 + u**4 + 0*u**4 + (0*u - 4*u + 2*u)*(2*u**3 + 2 - 2) - u**4 + 7*u + 2*u - 3*u to y*u**2 + p*u + a*u**4 + b + v*u**3 and give p.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 85820 divided by 3901\nAnswer: 85820\/3901","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 20\/72861 and -187\/30.\nAnswer: 728610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p**2 + 15*p + 108 = 0 for p.\nAnswer: -4, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -c + 2*c + 4*f, -2*f = c + 8. Suppose -8*u - 101 + 261 = c. What is the least common multiple of 2 and u?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 10*o - 10. Suppose -g = 2*g - 36. Let h = -49 - -54. Let z(y) = -4*y + 4. Let w(a) = g*z(a) + h*v(a). What is w(5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 39\/2 and -45\/1072.\nAnswer: 1072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -11214295*p**2 - 673*p**3 + 11228643*p**2 - 300 - 763*p**3 - 35780*p.\nAnswer: -4*(p - 5)**2*(359*p + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 j when two letters picked without replacement from {c: 5, j: 1, n: 3}.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15209314 divided by 13214.\nAnswer: 1151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 1267*s**3 - 2*s**2 - 2*s. Let x(g) = 3800*g**3 - 7*g**2 - 7*g. What is 7*q(i) - 2*x(i)?\nAnswer: 1269*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 178, 16, -3, -2\/11 in descending order.\nAnswer: 178, 16, 1, -2\/11, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 82490783\/8070 - 139792\/269. Let m = -9700 + h. Calculate the common denominator of m and -24\/25.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-115)\/138*42\/210)\/(29\/12)\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 34697, -3, 4, -2, -20, -5 in increasing order.\nAnswer: -20, -5, -3, -2, 4, 34697","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/10)\/((1044\/(-2175))\/2).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-175)\/(-28)*(-13)\/(-65).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/(-4)*308\/(-21). Let i be -3 + (-187)\/t - 4. Factor -6 + i*m**2 + 0*m.\nAnswer: 3*(m - 2)*(m + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77*o + 176*o + 1331 + 440 = 0 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*h - 5751 = 4434. Suppose m - 2*m = -h. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*r = 13*r - 4*h - 13, -5*r + 4*h - 37 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -9*m - 1. Let t(o) = -131*o + 46*o + 44*o + 40*o. Calculate t(d(p)).\nAnswer: 9*p + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1361 is divided by 340.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 4*c**2 - 15*c + 6. Let m(v) = 11*v**2 - 44*v + 17. Suppose -10 = -g + 4*f, 44 = -4*g - 27*f + 22*f. What is g*m(k) + 17*s(k)?\nAnswer: 2*k**2 + 9*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -59762.1 - -59783.09972. Let g = 21 - h. Round g to 4 decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -2*t - 336, -3*t - 2*x = -0*t + 496. Let l = -10\/7 + 61\/28. What is the common denominator of 0 + t\/(-32) + 4 and l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1865\/6 + -310. Sort -3, 4\/7, f in decreasing order.\nAnswer: f, 4\/7, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 524276.\nAnswer: 2, 53, 2473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -46, -39, -22, 11, 66, 149?\n\"Answer: v**3 - v**2 + 3*v - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 883, 662, 285, -254, -961, -1842, -2903, -4150?\nAnswer: -5589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -20\/3 (b) -1 (c) 2\/21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 12\/25 of a litre?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 2*s - 29. Solve b = -9 + s for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.003319950669 to 6 decimal places.\nAnswer: 0.00332","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 85, 7709.\nAnswer: 3, 85, 7709","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 83555497 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(1\/2)*z**(-6))**(-5\/8))**(15\/2) assuming z is positive.\nAnswer: z**(825\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-117)\/(-5) + 4\/(-60)*6?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 216*s - 3354. What is q(13)?\nAnswer: -546","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**4*q)\/(q*q\/(q*q**(3\/4))*q))\/((q*q**(-2\/27)*q)\/(q\/q**(-3)*q)) assuming q is positive.\nAnswer: q**(737\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -678*r - 3263 wrt r?\nAnswer: -678","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.3, -34, 5\/2, -19, -3, -14\/5?\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3185, 6319, 9453, 12587, 15721, 18855?\nAnswer: 21989","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes after 4:00 PM?\nAnswer: 11:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:42 PM and 2:08 AM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*h**3 + 109*h**2 + 1137*h - 350170 wrt h.\nAnswer: -6*h**2 + 218*h + 1137","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(30)\/(sqrt(30)\/sqrt(3))*3 - (sqrt(300) + 1)*2.\nAnswer: -17*sqrt(3) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4202, -8405, -12608?\nAnswer: -16811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 159 divide 64554?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.69818 - 0.59818. Let z be (-6)\/(-5)*30\/9. Let d = 1.9 - 2. What is the closest to x in d, 0, z?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 3*w**3 + 9*w**2 + 531*w - 6. Let k(r) = 12*r**3 + 38*r**2 + 2125*r - 25. Give -4*k(l) + 17*v(l).\nAnswer: 3*l**3 + l**2 + 527*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 105225031 + 355?\nAnswer: 105225430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-seven quarters of a litre?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -24\/198395?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -2*h**2 + 1149*h - 116190. Determine z(131).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**2 + 10*v + 8. Let s be w(-9). Let f(c) = -19*c - 1. What are the prime factors of f(s)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 2*p = -3*u - 12, 3*u = -p + 12. List the prime factors of 82 + (0 - u - -3).\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -562*m + 565*m = -2*z + 83, 5*z - m = -2*m + 188 for z.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 636?\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -2200073 divided by -433?\nAnswer: 5081","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 492 and 170649.\nAnswer: 27986436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.2 + -0.1. Let a = 21835 - 21835.2. Sort 0.3, z, a, -5.\nAnswer: -5, a, z, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.3 (b) 6 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 5*y = -9, -2*x - 4*y + 6 = -2*y. Suppose -x*r - 636 = -18*r. Is 5 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -12\/125 less than 7569?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4024090.\nAnswer: 2, 5, 7, 57487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2 + -1*-5*1. Suppose 2*y - 489 = -t*y - 3*q, 3*y - 4*q = 305. Suppose 0 = 2*d - 27 + y. Round d to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 64683\/352163*((-70)\/(-12))\/1?\nAnswer: 15\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.02 and -7180266.\nAnswer: -143605.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 129*y**4 - 21*y**3 - 5*y**2 + 3315*y + 55.\nAnswer: 1548*y**2 - 126*y - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lco when three letters picked without replacement from lllcolccoccl.\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(-3)*(-6)\/(-8). Let u = 2944 + -2945. What is the second smallest value in u, 0, k, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes after 4:11 PM?\nAnswer: 2:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 329896873 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 76401.64 minutes in nanoseconds?\nAnswer: 4584098400000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 4 + 9)*(-2*z + z + 0*z) + (-2 + 3 + 0)*(2*z - z + z) in the form q*z + i and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -y + 2 - 2 + 0.\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eleven halves of a millennium?\nAnswer: 66000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 25*m**2 + m - 1. Determine n(1).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 68*d**2 + 1432*d + 6149. Give f(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -47 + 108 + -32 - 35 - 13.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 4*k - 35. Let v(x) = -10*x**2 + 18*x - 33. Let j be v(3). Let g = k - j. Is 6 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1545.4, 19, -3\/67, 0?\nAnswer: -1545.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -145.17 + 144. Let y = w - -0.17. Let t = -45.5 + 44. Which is the third biggest value? (a) t (b) 0.2 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the second derivative of g**4\/36 - 13*g**3\/2 + 115*g**2\/3 + 257*g - 3. Factor r(q).\nAnswer: (q - 115)*(q - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(44)\/sqrt(2))\/(-6*sqrt(2)*-2).\nAnswer: -sqrt(11)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (252\/24)\/((-8)\/(2 - 1)) and 768\/72 + (-5 - -3) + 2.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -143 + 52 - 280*d + 58 + 33 in the form k*d + b and give k.\nAnswer: -280","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -163\/34 - 15\/238. Find the common denominator of f and 134\/(-30) - 4\/(-6).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-22)\/(-6))\/(-11) + (-417415)\/(-3). Let h(k) = m - 139138 + k. Let p(c) = 31*c**2. What is p(h(g))?\nAnswer: 31*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 18*b - 20*b - 5*b**2 + 1 + 4*b with respect to b.\nAnswer: -10*b + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x**(-5)\/x))**3)**(-2\/27)*((x**(-3\/2)*x)\/x*x*x*x**14)**(-1\/27) assuming x is positive.\nAnswer: x**(-113\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*x**4 + 10*x - 10*x + (185*x - 746 + 746)*(0*x**2 - 2*x**3 + 0*x**2).\nAnswer: -373*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cc when two letters picked without replacement from cmc?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5656 and 68389625.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 361236512 and 25688?\nAnswer: 1976","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6 of a minute in seconds?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 14*p. Let i(v) be the second derivative of -v**4\/3 - 8*v. Determine i(n(g)).\nAnswer: -784*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 408801.2 tonnes in grams?\nAnswer: 408801200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 2*b**2\/3 + 4731800*b + 8396224215000 = 0.\nAnswer: -3548850","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zy when two letters picked without replacement from {z: 1, m: 1, j: 1, h: 4, y: 1}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oaao when four letters picked without replacement from aooavvavvoa?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:32 PM and 5:52 PM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 12*o**2 + 4275*o - 7820. What is k(-358)?\nAnswer: -302","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**2 - 17*s - 11. Let k be a(-16). Suppose 5*h - 3955 = -k*p, -4*p = h + 353 - 3505. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from iiiiiiiiii.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00268501 to 4 decimal places.\nAnswer: 0.0027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 446 (base 7) to base 16.\nAnswer: e6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 451, 453, 455, 457, 459, 461?\nAnswer: 463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 27 times -24.061987\nAnswer: -649.673649","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2001210 (base 3) to base 11.\nAnswer: 114a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -10, -19, -38, -73, -130, -215, -334?\n\"Answer: -p**3 + p**2 - 5*p - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 955\/((-5 - -5) + 1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*b**2 - 6*b + 102*b**3 - 35*b**3 - 36*b**3 - 29*b**3 + 113*b as w + h*b + r*b**2 + n*b**3 and give r.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 23*m**3 + 4*m**2 - 2*m - 2. Let g(b) = b**3 + 5*b**2 - 7*b - 1. Let l be g(-6). Let q(z) = z**3 - 6*z**2 + 4*z + 7. Let w be q(l). Is h(w) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -25*j + 30*j + 42*j + 1 + 52*j to k*j + n and give k.\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-5)*2)\/((-37)\/(6105\/22))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 - -3. Suppose 6*r = -22*r + 4*r + 96. Put 30, i, r in ascending order.\nAnswer: i, r, 30","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 2731?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*b - 5070 + 4440 = 0 for b.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 3179.\nAnswer: 3\/3179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 61 - ((21 - -5 - 14) + 12).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is a8db - 2835?\nAnswer: 80a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 7, a: 2, s: 9}. Give prob of sequence sss.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 13 + 47 = 0. Is 16 a factor of -5 + 1551\/f - 6\/(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -4, -0.1, 252, -2, 0?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -371 divided by -4.\nAnswer: 371\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-216)\/22 + (-4)\/22. Let y = -9 - m. Solve -r - y = 2*h, -4*r - 7 = -r + 4*h for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*p + 8922 = 11*p - 7637. What is the remainder when p is divided by 204?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the third derivative of -i**5\/80 - i**4\/32 + 12*i**2. Solve h(b) = 0 for b.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnhhnhn. What is prob of picking 3 h?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.12 * -45447.391.\nAnswer: -5453.68692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + -5*(sqrt(162) + 3) - ((2 + sqrt(162))*-4 + sqrt(162) + (-2 + sqrt(162))*-5))*2)**2.\nAnswer: -3456*sqrt(2) + 6856","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 3*s - 4*s. Let b(n) = 6*n**2 + n - 8. Let z be b(s). Suppose 2*x + 5*u - 3 = z, -2*u + 442 = 4*x. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*i**5 - 541*i**4\/2 - 2988*i**3 + 23283*i**2\/2 - 1134*i = 0. Calculate i.\nAnswer: -12, 0, 1\/10, 3, 63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 280396154?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 405 + -402. Find the third derivative of 3*y**x + y**4 + 269920 - 269920 + 201*y**2 wrt y.\nAnswer: 24*y + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 58 - 53. Suppose y = 2*f + 5. Let s be 3\/(-1 + f\/(-2)). Is s less than or equal to 8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6737 + -6529. Does 23 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 36 and 1776?\nAnswer: 5328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -5099, -4952, -4801, -4646?\n\"Answer: 2*b**2 + 141*b - 5242","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 + -2. Suppose 3 = -5*h + 18. Solve -3*o**4 - 7*o**h + o**2 + 3*o**3 + 5*o**s + 4*o**5 - 3*o**4 = 0 for o.\nAnswer: -1, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**2 - 2*n + 30000. Let s be q(0). Round s to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7 and 10361442?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*(u\/u**(-12))\/u*u)\/u)**(8\/3)\/(u\/(((u*u\/u**19)\/u*u)\/u*u))**(2\/23) assuming u is positive.\nAnswer: u**(2284\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 2*v**3\/13 - 14*v**2\/13 - 968*v\/13 - 448 = 0.\nAnswer: -13, -8, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9567044 and 19476?\nAnswer: 2164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10*(-1)\/(-14)*7.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5143144.49384 take away -2.7?\nAnswer: -5143141.79384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 151.8 + -151. Let r = -1241922 - -1241921.1999972. Let n = r + y. What is n rounded to six decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 90410, 90378, 90300, 90152, 89910, 89550, 89048, 88380?\nAnswer: 87522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 3 + 4)*(2 + i - 2) - 132 + 90 + 0*i + i to u + l*i and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5839532343 + -5839532304.99999981. Let v = 38 - b. Round v to 7 dps.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 42*k**3 - 28*k + 27. Calculate u(1).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 2*k**3\/3 + 14*k**2\/3 - 56*k\/3 + 40\/3 = 0?\nAnswer: -10, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 0.5688304 micrometers?\nAnswer: 0.0005688304","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1105 + 1105.000693. What is n rounded to three decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xyxx when four letters picked without replacement from xxyxyyy.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((1 + 1 + sqrt(75) - -6*(0 + sqrt(75))) + -5 + 1*sqrt(75) + (3 + -2*sqrt(75) - sqrt(75)))**2.\nAnswer: 1874","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 205 divided by -12744\nAnswer: -205\/12744","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 32, 88, 216, 452, 832?\n\"Answer: 6*y**3 + 14*y + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -3*u + 6, -15 = 5*u + 4*p + p. Suppose -o + 4*m - 912 = 0, u = 2*o + o - 2*m + 2686. Let k be o\/(-180) + -2 + -3. Which is smaller: 1 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/(r\/r**(-9)))\/r*r)\/(r\/(r**(-5)\/r)))\/(r**(-1\/2)\/((r\/(r\/(r\/r**(-7))))\/r)) assuming r is positive.\nAnswer: r**(-17\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3420553 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 130*a - 207*a - 213 = 3820 + 1819 for a.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**3 - 2*t**2 + t - 7. Let d be u(-5). Let j = 38 - d. Let a = j - -42. Is a a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-39)\/15*(-689)\/13. Let c = k - 1093\/10. Find the common denominator of 51\/10 and c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (3 - 0 - (-6 - -4)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 870710807 to the power of 1\/6, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -852, -3326, -7452, -13230, -20660, -29742, -40476?\n\"Answer: -826*i**2 + 4*i - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -923, -921, -907, -875, -819?\n\"Answer: z**3 - 5*z - 919","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 18.5 + -18. Which is the third biggest value? (a) -2 (b) n (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 minus 109326.4612?\nAnswer: -109298.4612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2086.\nAnswer: 2, 7, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 33814933111 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 16 = 3*q - 7*q, 3*c + 4*q - 26 = 0. Suppose 7*f - c*f = 0. Suppose 13*o - 17*o + 144 = f. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nounuuiuiuuuuffof. What is prob of picking 3 f and 1 u?\nAnswer: 2\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -377, 65 in descending order.\nAnswer: 65, 0, -377","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/332172 and -61\/19119?\nAnswer: 2116932156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-36)\/(-8) + (-5)\/(-10). Let p(x) = 2*x**2 + 4*x**2 - 988*x**3 - y*x - 7 + 990*x**3. Let q(h) = 2*h**3 + 7*h**2 - 6*h - 8. Give 6*p(s) - 5*q(s).\nAnswer: 2*s**3 + s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -158, -337, -530, -743, -982, -1253, -1562?\nAnswer: -1915","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*q - 8494 = -1172*q - 118604 for q.\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in one quarter of a microgram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-12))\/((-6)\/(-4))\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nq when two letters picked without replacement from {f: 3, q: 1, x: 2, n: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6628 or -6629?\nAnswer: -6629","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3043*k**3 + 366*k**2*t + 162*k*t + 12*k + t + 14 wrt k?\nAnswer: -18258*k + 732*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10011101000110111 (base 2) to base 15.\nAnswer: -18c79","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -9 (b) 5 (c) 12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1, -15, -43, -89, -159, -259?\n\"Answer: -t**3 - 9*t + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 0*i - 6 = 5*b, 3*b = -i + 2. Suppose 0 = 4*g - 20, -4*w + g + 249 = -i*g. Is w a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*r - 6*r + 145. Let v = -148 - r. Which is the closest to 0.05? (a) v (b) 1 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35787.\nAnswer: 3, 79, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4778935 and 945.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12 + 20. Let u be 1*(-5)\/((-5)\/3). Solve -2 = u*z - i for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 + 1226063341?\nAnswer: 1226063343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 94.56349 millilitres in litres?\nAnswer: 0.09456349","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, u: 3, x: 1, w: 5, o: 1, q: 1}. What is prob of picking 1 o and 1 x?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes before 10:33 PM?\nAnswer: 2:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1266006103 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2\/35, -3\/8, -0.4, -34 in ascending order.\nAnswer: -34, -0.4, -3\/8, 0, 2\/35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 161\/274161?\nAnswer: 161\/274161","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24 - (1 - -49)) + 6?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -259 and 122.6812.\nAnswer: -31774.4308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -317*h + 315*h - 5*v + 19 = 0, -2*h = -4*v + 8 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/3 greater than -1138357?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -541157732*g**3 - 579548412*g**2?\nAnswer: -3246946392","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7903 + 11084. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -5*z - a, 2*z + 3*a - 13 = 6*a. Suppose -179 + 274 = z*q. What is the remainder when q is divided by 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the second derivative of w**7\/14 + w**4\/12 - 10*w. Find the third derivative of v(k) wrt k.\nAnswer: 180*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 34\/313847 and -17\/1698.\nAnswer: 1883082","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -31.147 + 0.247. Let o = h - -31. Which is the nearest to -2? (a) 14 (b) -2\/9 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 5*h - 1 = 2*u, 11 = 5*h - 3*u. Let c be (-2 + h)*2 - -6. Factor -4\/7*g**c + 0*g**3 + 4\/7*g**2 - 2\/7*g + 0 + 2\/7*g**5.\nAnswer: 2*g*(g - 1)**3*(g + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 12588, 12603, 12630, 12675, 12744, 12843, 12978, 13155?\n\"Answer: z**3 + 8*z + 12579","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 212 and 211 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*s - 4*s - 8, 12 = 2*t - 2*s. Suppose -1 - 7 = -2*i. Let k(l) = l + i*l - t*l. Let d(z) = 2*z**2. Give k(d(h)).\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2\/7)*c\/(c\/(c*c**(-1\/2)))*(c**(-1\/2)\/c)**(-3\/11))**(-16\/3) assuming c is positive.\nAnswer: c**(-256\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 12*q**2 - 2*q - 359. What is the units digit of j(18)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -268672 (base 11) to base 2\nAnswer: -1100110111000011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -654 by 12576.\nAnswer: -109\/2096","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zznznnznznnznzznznn. Give prob of picking 4 z.\nAnswer: 21\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 33116 to the power of 1\/2, to the nearest integer?\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 68837.986 to the nearest 100.\nAnswer: 68800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**3 - 6*h**2 - 11*h + 14. Let c be d(10). Suppose 10*v - 6*v - 1197 = -3*f, -4*f = -v + c. List the prime factors of v.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -66 + 70. Let y = -4.3 + -0.8. Let k = y - -0.1. Which is the biggest value? (a) -0.3 (b) k (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the third derivative of b**7\/180 - 3*b**4\/8 + b**3 - 5*b**2. Let v(f) be the second derivative of z(f). Let p(x) = -8*x**2. Determine v(p(m)).\nAnswer: 896*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2\/19, 5, 57 in ascending order.\nAnswer: 0, 2\/19, 5, 57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1254986 is divided by 1487?\nAnswer: 1445","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 39749849 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, 3, 6, -9, 27 in ascending order.\nAnswer: -9, 3, 6, 11, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -177\/56 - -23\/8. Let h = -25 + 25.14. Let n = h + 3.86. Which is the smallest value? (a) n (b) u (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1916611381 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1100110000001011011 (base 2) to base 15\nAnswer: 83c3d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1402 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the third derivative of -z**6\/120 + 3*z**5\/20 + z**4\/8 - z**3 + 5*z**2. What is the tens digit of j(9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*d + 17789 - 17791 - 56*d**2 + 1358*d**2 + 1 - 1 + d**2 + (0*d - 2*d + d)*(-1 + 1 - d).\nAnswer: 1304*d**2 - 3*d - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 79 + (39 - 106) - (-42 + 0)\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 3525687?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3.9 (b) 0 (c) 0.18 (d) 0.1 (e) -60\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12344, -49314, -110932, -197198, -308112, -443674, -603884?\nAnswer: -788742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 228 is divided by 50\/(-10) + 1 - (-1 - 26).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q - 13. Let j be c(-12). Let b(t) = t**2 - 4*t + 3. Let h be b(2). Is j greater than or equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.38 - -11.38. Let i = -5.0443 + -4.9474. Let j = m + i. Round j to three decimal places.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 294164?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 - -1. Suppose -m + 12 = u*m. Suppose -4*t + 40 = -m*g, -73 = -5*t - 2*g - 23. List the prime factors of t.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((24\/(-32))\/(((-1248)\/(-320))\/13))\/(10\/452)\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5\/497 + -2495\/994. What is the nearest to -0.05 in -2, 3\/4, z?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/5 - (-4)\/(-5). Let a = 3 + -3.1. Let q = -0.9 + a. Is q >= s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00004881 rounded to 6 dps?\nAnswer: 0.000049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r = 3*i - 3, 31*r = -2*i + 35*r - 12 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 329 and 425?\nAnswer: 139825","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 146.599 to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the first derivative of -2*m**7\/105 - m**3\/2 - m**2\/2 - 1. Let z(v) be the second derivative of c(v). What is the first derivative of z(b) wrt b?\nAnswer: -16*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, 0.6, -34, 1\/4, 0.4, -2\/5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -130 - -205. Let h = z + -72. Suppose -h = 14*x - 87. Are 24\/5 and x equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-3*sqrt(612)*1)**2*3*-4.\nAnswer: -1652400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-1 + (sqrt(243)*2)**2) - ((1*sqrt(243) + sqrt(243) - sqrt(243) - sqrt(243))*-5 + sqrt(243) + (sqrt(243) - (sqrt(243) - (sqrt(243)*-2 + -5))))**2.\nAnswer: -90*sqrt(3) + 5558","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1345760 divided by 5?\nAnswer: 269152","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.47 - 0.77. Which is the closest to -0.1? (a) 1 (b) -0.4 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -130 + 908\/7. Let z = -0.2 - -3.2. Which is the nearest to v? (a) z (b) 0.1 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -q**4\/2 + 472*q**3 - 8583*q**2\/2 - 6598786*q - 13176622 = 0. Calculate q.\nAnswer: -107, -2, 134, 919","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 3*x**2. Let i(c) = 10*c + 3. Suppose 9 + 6 = -2*m + 3*h, h = -m. Let y(l) = -11*l - 4. Let w(n) = m*y(n) - 4*i(n). Give t(w(a)).\nAnswer: 147*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes after 1:46 PM?\nAnswer: 12:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -3*r - 25. Let s(v) = -3*v - 3. Suppose -3*j = 4*t - 23, -4*j - 3 = -4*t - 3*j. Let c be s(t). Let p be o(c). Solve -p*u + 0*u + 2 = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**3 + 13*h**2 - 2*h - 11. Is j(10) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40637 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00010439506 to 7 dps.\nAnswer: -0.0001044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the second derivative of h**5\/20 - h**4\/4 + 2*h**3\/3 - 13*h**2\/2 + 2*h - 3. Is s(19) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1818890 divided by 10.\nAnswer: -181889","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the first derivative of 3*q**2\/2 + 44. Let x(v) be the first derivative of 31*v**2\/2 - 71. Calculate c(x(f)).\nAnswer: 93*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 296738 and 114582?\nAnswer: 2938","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -32101200312 (base 4) to base 2.\nAnswer: -1110010001100000110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the third derivative of n**4\/24 - n**3\/2 + 2*n**2. Let v be h(6). Suppose 3 = -0*g + v*g. What is the remainder when 1 is divided by g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-159*o - 214*o + 231*o)*(-8 - 10*o + 8 + (0 + o + 0)*(4 - 3 + 1) + (1 + 1 - 3)*(-2*o + 3*o + 0*o)) to the form z + r*o**2 + t*o and give r.\nAnswer: 1278","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(900) - sqrt(900)*-2)\/(2*sqrt(6)\/sqrt(3)) - -2*(sqrt(810) - (-2*sqrt(810) + sqrt(810)))\/(sqrt(5)*2*3).\nAnswer: 57*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3625431.\nAnswer: 3, 137, 8821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 6*z**2 - 76*z - 81. Calculate u(14).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 2*i + 5*k - 51 = 0, 5*k - 73 = 4*i. Let l = i + 22. Solve 2*b + 3*b + 10 = l for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*q**2*w**3 - 6*q**2*w**2 - 22*q**2*w + 33*q**2 + q*w**3 - 4*q*w**2 + 41362*q + 2*w**3 - 1 wrt q?\nAnswer: -10*w**3 - 12*w**2 - 44*w + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5)\/190*(3 - -1). Which is the third biggest value? (a) -3 (b) -2\/7 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.233792 to 1 decimal place.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3 + (-22)\/(-4))*(-8)\/10. Let u be (x - 25\/(-4)) + (-12)\/48. Solve 0 = -0*w + w - 4*q - 8, w + u*q = -8 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -8\/1539 and -113\/18?\nAnswer: 3078","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 z when two letters picked without replacement from {z: 3, w: 3, k: 3, y: 4}?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -749.013 + 714.53. What is n rounded to the nearest integer?\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -134141*z - 101776.\nAnswer: -134141","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 + (96\/(-54) - 4\/18). Let i be 5\/r*(-126)\/45. Suppose d + 0*z = -z + 2, d - 4*z - i = 0. Solve -d*s = 9 + 3 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -11*o - 39. What is k(-6)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-60)\/10 - -6) + 1\/2\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1088 + 1090. Solve -4*t = -m*j - j + 4, j - 6 = -t for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2858?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 901 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 114108 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -4*n**3 + 9*n**2 + 4*n + 10. Let c(l) = -3*l**3 + 10*l**2 + 5*l + 11. Let m(s) = -6*c(s) + 7*t(s). Is m(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 186*g - 10142 = -10*g - 265*g for g.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -11 + 0 - (5 - 4). Let r = 7 + k. Sort 1, r, 5.\nAnswer: r, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, g: 2, e: 2, z: 8}. What is prob of picking 1 e and 2 g?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 624*l = 607*l + 442 for l.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, -2, 1\/138, 0, -0.3, -0.6 in decreasing order.\nAnswer: 1\/138, 0, -1\/4, -0.3, -0.6, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(288) - (1 + sqrt(288)))*-2)**2 - (1*(sqrt(128) + sqrt(128)*3)**2 + -1).\nAnswer: -2023","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the first derivative of -z**2\/2 + 15*z - 2416. Determine a(5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the first derivative of p**3\/3 + p**2\/2 - 4. Let j = -70 + 64. Let n(r) = 29*r**2 - 6*r. Let a(x) = j*l(x) - n(x). Let s(y) = -2*y. What is s(a(q))?\nAnswer: 70*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 254.792 + -255. Let g = n - -0.207826. Round g to 4 decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 52*o - 1. Let d = -165 - -166. What is the remainder when i(d) is divided by 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**2 - 13*n - 9. Let b be k(-12). Let i(v) = -2*v - v**b + 0*v**2 + v + 0*v - 1 - 5*v**2. Determine i(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4381, -9617, -16397, -24727, -34613, -46061, -59077?\nAnswer: -73667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16103559?\nAnswer: 3, 5367853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -860*u**5*y + 6*u**2*y + 11*u*y - u wrt u?\nAnswer: -51600*u**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 230693 (base 15) to base 6\nAnswer: 55501133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -44, 5\/4, -2, 2\/3, 2\/7 in decreasing order.\nAnswer: 5\/4, 2\/3, 2\/7, -2, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0035019 to four dps.\nAnswer: -0.0035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97 = 357*f - 345*f + b, -43 = 5*f + 3*b for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -115\/18 and 47\/12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/22 + (-1110)\/(-66). Let o = s - 13. Suppose o*n = 9*n + 5. Let y(z) = -10*z**2 - 1. Calculate y(n).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**2 + j. Let r be d(-2). Solve -5 = -x - r for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32336599 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 144711751?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 457253.6 millennia to decades.\nAnswer: 45725360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4928, 0.5 in decreasing order.\nAnswer: 4928, 0.5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -935336886 + 935336886 + 3*i.\nAnswer: 3*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 445654 (base 7) in base 3?\nAnswer: 11000012111","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Is 28833149 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/(-3*4\/(-40)). Let k = v - -31. Calculate the highest common divisor of 77 and k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 848.6808ug in kilograms?\nAnswer: 0.0000008486808","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 4*f - 4588 = 0, -38*a + f - 6917 = -41*a. 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: Evaluate (5*(-12)\/(-10))\/(33\/(-44)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((-2*sqrt(99)*-1 - (sqrt(99) + (sqrt(99)*2 + sqrt(99) - sqrt(99))*-6))\/(sqrt(1089)*1*2))**2.\nAnswer: -169\/44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*w - 85 - 23 = 0. Suppose -w*y + 12*y - 165 = 0. Calculate the least common multiple of y and 45.\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**2 + 16*o - 21. Let z = 23 + -41. Let a be d(z). Calculate the common denominator of ((-2)\/a)\/((-56)\/(-4998)) and -33.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (6\/15)\/(3\/(-5)). Let q be (270\/(-274) - -1)*5067\/(-90). Let i = q - -3\/137. What is the closest to 0 in i, r, 3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -2 and -13959\/14900 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 1262 divide 2234753?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -5\/2, 35\/2 in descending order.\nAnswer: 35\/2, 0.1, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*i**3*j**3 - 403*i**3 - 2383*j**4 wrt j?\nAnswer: 6*i**3*j**2 - 9532*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-204)\/14)\/(30\/(-700)) is divided by 39.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 11682?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (((-240)\/12)\/((-10)\/30*1*3))\/(-1)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 40632?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -84 + -3 + 8 + 34.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) 1 (c) -84245\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**2 - 25*r - 10. Let s be u(-22). Let b = s + 10. List the prime factors of b.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 727533704 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 35*p - 151. Give m(7).\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:26 PM and 2:52 AM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s + 5*q - 1081300 = 5*s, 0 = -2*s + q + 1081312. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 101 - 147. Let w = n - -51. Suppose 3*x + w = -2*v - 2*x, -3*v = 3*x + 3. Which is the closest to 0.1? (a) v (b) 2 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-1*sqrt(132) - sqrt(132))\/(sqrt(96)\/(sqrt(8) + sqrt(32))).\nAnswer: -18*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -20 - -2. Calculate the smallest common multiple of 184\/18 - d\/(-81) and 24.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3503 is divided by 3196.\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -2*r + 92. Suppose -2*m + 4*s = s + r, 0 = -4*s + 4. Is 15 a factor of (m\/8)\/(2\/(-48))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8832 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o. Let m(q) = -75928924*q**2. Determine m(t(j)).\nAnswer: -75928924*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 26*j - 4 - j**3 + 25*j - 80*j + 27*j - 24*j**2 as y + v*j**2 + q*j**3 + o*j and give y.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 79272 and 8587800?\nAnswer: 25763400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 14061?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -7*c**2 + 2*c + 6. Let j(k) = -31*k**2 + 9*k + 20. Calculate -2*j(s) + 9*w(s).\nAnswer: -s**2 + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = a + 2*w, -6*a = -a + 5*w + 5 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 63416706 divided by -31708353?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 5*x**5 + 30*x**4 - 10*x**3 - 60*x**2 + 5*x + 30 = 0.\nAnswer: -6, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/7 (b) -276 (c) -0.6 (d) 0.2 (e) 0.15 (f) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0159235 rounded to four decimal places?\nAnswer: 0.0159","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 2*m. Let p(g) = 4881*g. Calculate p(w(b)).\nAnswer: 9762*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 4*y + 6 = -74, 0 = -5*w + 5*y + 175. What is the units digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2\/8)\/(12\/96). Let l be (-138)\/(-3*b - (6 - 14)). Is -71 <= l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/7 in -16\/17, 4, 36, -3.1, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 44 in 3\/4, -0.1, -2, -4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**2 + 5*o + 11. Let b be z(-2). What is the third derivative of -5*v**5 + 0*v**b - v**5 + 27*v**2 wrt v?\nAnswer: -360*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the second derivative of 0 - 1\/2*n**2 + 1\/12*n**4 + 0*n**3 + n. Calculate z(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand t**2 - 5*t**2 + 5*t**2 + (-4 + 4 - 4*t)*(t - 4*t + 2*t).\nAnswer: 5*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o + 6. Let a be q(-8). Suppose 5*u = -z - 39, 7326 = 4*z + 5*u + 7362. Put -7, z, 2, a in increasing order.\nAnswer: -7, z, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -232*z**3 + 4*z + 1594. Let g(i) = i + 4. Let t(f) = 4*g(f) - j(f). Find the first derivative of t(d) wrt d.\nAnswer: 696*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -193*s + 233*s - 121*s. Let p(b) = -2*b**2. What is p(z(l))?\nAnswer: -13122*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-8)*(-144)\/(-54))\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -13\/7, -132.1, -3, 11, 4, -2\/17, 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*k - 17 + 17)*(-2*k + 0*k + k)*(0*k + 2*k**2 + 0*k) to d*k**4 + p*k + f*k**3 + l + u*k**2 and give d.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 50871?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q + 2*q - 5*q)*(5*q - 4*q + 2*q)*(2*q**3 - 5*q**3 - q**3).\nAnswer: 72*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the first derivative of -3*x**5\/40 + 3*x**4\/8 - 11048. Factor j(s).\nAnswer: -3*s**3*(s - 4)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the second derivative of 3*w**2 - 1\/12*w**4 + w + 0 + 5\/6*w**3. Give p(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1416 + 470676?\nAnswer: 467260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60988245.\nAnswer: 3, 5, 197, 20639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1009 or -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (509 + -3)*2\/4. Let b be (-2)\/6 + (-210)\/(-9). Calculate the highest common factor of v and b.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12 + -1 - (4 + -3)) + -159 + 161?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -5*r + 12*r**2 - 6*r**2 + 2*r. Let z be y(2). Suppose -j + z = j. List the prime factors of j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*o - 3*o + 4*o)*(-13379*o**2 - 3847*o**2 + 4349*o**2) in the form h + u*o + s*o**3 + j*o**2 and give s.\nAnswer: -38631","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -166, -367, -630, -985, -1462?\nAnswer: -2091","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2534 - -2659.49. Let n = b + -125. What is n rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 65102.66 years in decades?\nAnswer: 6510.266","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f**5\/7 - 12*f**3\/7 + 16*f**2\/7 = 0. What is f?\nAnswer: -4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108 = q - 7*q. Solve 4*k - 2*m - q = 0, 0*k = -3*k + 2*m + 15 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y + t - 38 = 0, 0 = 5*y - 0*y + 3*t - 44 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -8, 21, 1 in descending order.\nAnswer: 21, 1, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - s + 5 + 3)*(-5*s + 7*s + 2*s).\nAnswer: -4*s**2 + 16*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**2 - 13*x + 17. Let m be b(-14). Suppose m*k + 3*u - 195 = -2*u, 0 = 3*k - u - 177. Does 3 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - 3 - 15. Find the third derivative of -2*w**2 + 4*w**4 - f*w**2 - 37*w**4 wrt w.\nAnswer: -792*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.07 + -0.15. Let f = -14.78 + h. Let y = -14.999964 - f. What is y rounded to 5 dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -669*-4\nAnswer: 2676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28002 divided by 78.\nAnswer: -359","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 21308\/5 - 4261. Put -5, a, 2\/15, -1\/69, -4 in decreasing order.\nAnswer: a, 2\/15, -1\/69, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n + 0*n + 2*n)*(-2*n**4 + 2*n - 2*n) + (-3*n**3 + 4*n**3 - 3*n**3)*(-n**2 + 4*n**2 - n**2) - 562 + 11*n**3 + 10*n**5 + 562.\nAnswer: 4*n**5 + 11*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -44 + 76. Suppose 0 = 3*g + 2*u - 79, 0 = 80*g - 77*g + 13*u - 2. Solve 0 = i + g - t for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - o + 5 = 0. Let s be 13\/(-1) + 11 + -4. Put -1, s, o, 3 in descending order.\nAnswer: 3, o, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -4 + 5*g + 1 + g**2 - g**2 + 2*g**2. What are the prime factors of w(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (84 - 84 - 18*g)*(42*g - 95*g - 75*g)*(-1 + 2 - 2).\nAnswer: -2304*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (((-320)\/(-45))\/8)\/(4\/(-6))\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*u**5 + 13*u - 4*u**5 + 0*u - 5*u**5 wrt u.\nAnswer: -220*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1612?\nAnswer: 2, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 32\/63 and 31\/30495?\nAnswer: 640395","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 75\/45*(0 + 36\/10). Let d(s) = -s**3 + 8*s**2 - 9*s + 10. Calculate the least common multiple of 4 and d(l).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**2 - 6*i - 33. Let q be n(9). Is (q\/(-4))\/(51\/81226) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 1 q when three letters picked without replacement from qqqvqqqqqv?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 476 = 70*s - 63*s. Let w(f) = 30*f**2 + 27*f**2 + 32*f**2 + s*f - 87*f**2. Let n(h) = -3*h. Give w(n(k)).\nAnswer: 18*k**2 - 204*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 1)*(-4 - 2*n + 4)*(3 + 0 + 0).\nAnswer: -6*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 + -20a6a?\nAnswer: -20a71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 + -4.5. Let f = 1.7946 + -0.0946. Let x = f - m. Which is the second biggest value? (a) -1\/13 (b) x (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 43*o**4 - 62*o**6 + 18*o**6 + 20*o**6 + 2*o**2 + 27 + 22*o**6 - 12*o**4 wrt o?\nAnswer: -240*o**3 + 744*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -4\/98732125 and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t - 0 + 6. Let d = t - -6. Put -3, d, -4 in decreasing order.\nAnswer: d, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*v**2 - 7*v**2 - 2*v**2)*(v - 2 + 1 + 0).\nAnswer: v**3 - v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l + 2. Let o be g(-1). Solve 5*d + o = 2*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 203863240?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-30)\/65)\/((-20)\/130)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -36, -1, 224, 2, -3 in decreasing order.\nAnswer: 224, 2, -1, -3, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 165 a factor of 22605?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 31\/5 of a hour?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 - -223313?\nAnswer: 223320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2*13 - 1)\/(22 + -21). Calculate the greatest common divisor of d and 125.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34429859957 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 7cf8 (base 16) in base 11?\nAnswer: 22044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26639 is divided by 8876.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33356837.\nAnswer: 19, 31, 56633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p**4 - 4*p**4 + 5*p**4)*(p + p - p) - 2*p**2 + 3*p**5 + 2*p**2 - 80*p**5 + 145*p**5 - 83*p**5.\nAnswer: -16*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 7.7616702 nanoseconds?\nAnswer: 0.0000000000021560195","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:04 AM and 6:27 AM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.047 and 32.42.\nAnswer: 32.467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes before 10:03 AM?\nAnswer: 2:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 divided by -2085943.\nAnswer: -6\/2085943","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2.75 + 21.45. What is b rounded to the nearest 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(70) + 4*(1*sqrt(70) + sqrt(70)))\/(sqrt(160)*3 - sqrt(10)) + ((5 + 2*sqrt(7))**2 - sqrt(7)) + (sqrt(28)\/(sqrt(4) + sqrt(36) + sqrt(4)))**2).\nAnswer: 218*sqrt(7)\/11 + 1332\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2030)\/(-3066))\/29*68\/(-170).\nAnswer: -2\/219","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ohoc when four letters picked without replacement from oxxchcxhxhxcohhxxxx?\nAnswer: 5\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23672, 47227, 70790, 94361, 117940, 141527, 165122?\nAnswer: 188725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 13*q - 9*q + 4 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(2\/5)*s*s*s)**20\/(s\/((s\/s**(2\/5))\/s))**12 assuming s is positive.\nAnswer: s**(356\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38783?\nAnswer: 38783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 88, -119, -320, -515, -704, -887, -1064?\nAnswer: -1235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 585.9505l?\nAnswer: 585950.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -98 in -2\/9, -0.3, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4 + l**3 - 6*l**3 - 4*l**3 wrt l.\nAnswer: -27*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -235853*m**2 + 2043*m. Let k(f) = 231*f**2 - 2*f. Give 2043*k(u) + 2*n(u).\nAnswer: 227*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**3 + 13*c**2 + 206*c - 46. What is the remainder when m(-12) is divided by 351?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s. Let a(h) be the first derivative of -19*h**3\/3 - 12. Determine l(a(d)).\nAnswer: -19*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**1\/m*m)\/m)**(-12)*(m**(1\/3)\/m)**1 assuming m is positive.\nAnswer: m**(-2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -27*w**2 + 4*w**2 - 33 + 34 + (5*w - 2*w - 4*w)*(5*w - w - 5*w).\nAnswer: -22*w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 91 - (199 - 106) - (-1 - -6)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: 8 divided by -727\nAnswer: -8\/727","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/12818349 or 0?\nAnswer: 2\/12818349","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (6 + 1 + 3 - (11 - 3))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 98 (b) 4 (c) 1\/1389\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 332371?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes before 2:08 AM?\nAnswer: 8:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 70903?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.2159579 months to decades.\nAnswer: 0.0101329825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -y + 661*y**4 - 246*y**4 - 440 + 2*y + y wrt y.\nAnswer: 4980*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 4 + 21 = 0. Let a = d - -93. Calculate the greatest common factor of 8 and a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**2 + 11*u + 14. Determine d(15).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes after 12:07 PM?\nAnswer: 1:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 38149*t - 3678*t**3 - 76266*t - 17*t**2 + 38302*t wrt t.\nAnswer: -22068","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 603814, 603733, 603614, 603457?\nAnswer: 603262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 7*b = 0. Suppose -2*w = 5*q - 19, 2*w = -2*q + 7*w + 25. Let n = 8 - q. Solve -c + 2 = n*a + 2*a, b = 5*a + 3*c + 4 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 25*h**2 + 7*h**2 + 44*h**2 + 2*h - 21*h**2 - 875*h**6 wrt h.\nAnswer: -105000*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 c when two letters picked without replacement from bwwcgwk?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 60139 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -14478 + 19368. Does 15 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 17 = -437. Suppose 5*f - f - 4*a = j, a - 405 = -4*f. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -800718 <= 26.5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -26700, -53402, -80104, -106806, -133508?\n\"Answer: -26702*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times -0.0463?\nAnswer: -0.02315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14678 is divided by 233.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, t: 3, g: 4, f: 1, u: 4, q: 1}. Give prob of sequence guf.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = -3*s + 2*a, 0 = 2*s + 2*a + 9 + 9. Let o(w) = w**3 + 13*w**2 + 10*w - 17. Let j be o(s). Suppose 0 = 4*q - 3 + j. Which is bigger: 1\/5 or q?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**3\/17 - 186*p**2\/17 + 4416*p\/17 - 4232\/17.\nAnswer: 2*(p - 46)**2*(p - 1)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*j**2 + 2*j**2 + 151*j**3 - 155*j**3.\nAnswer: -4*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 4944, 4947, 4950, 4953, 4956, 4959?\n\"Answer: 3*r + 4941","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes after 9:43 PM?\nAnswer: 2:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - 1187109850425.\nAnswer: -1187109850422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.745472 times -1.3?\nAnswer: 10.0691136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -2*c + 35 - 7*c - 14*c + 83*c**2 - 81*c**2. What is the hundreds digit of g(16)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q + 2*d, -2*q - 4*d + d + 3 = 0. Let t(x) = -2*x - 3. Let h be t(q). Suppose h*y + 135 = 8*y. Does 16 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes before 9:25 AM?\nAnswer: 6:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 0 - (6 + -8)\/1 and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*q + 92*q + 395 = 0. Suppose -y - 2*y - 4*g - 5 = 0, 3*y - 5*g - 13 = 0. Let s be (1500\/y)\/(q\/58000). Round s to the nearest 1000000.\nAnswer: -17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1788884 to the nearest integer?\nAnswer: 1337","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**2 + 7*b + 3. Let d be z(6). Let x be 6\/2 - (-6 + d). Let w(c) = 3 - 1 - 11 - c**2. Calculate w(x).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:31 AM and 10:35 AM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1107.607 - 1019.62. Let p = a - -0.013. Let q = p - 87.99999657. Round q to seven dps.\nAnswer: 0.0000034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z + 3*z + 2*z)*(1281 - 221*z**3 - 1281) + (z**2 - 5 + 5)*(-2 + 2 - z**2) - z**4 + z**4 - z**4.\nAnswer: -444*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rwrzooorooooowr. What is prob of sequence rorr?\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**2 - 2*o - 1. Let m(a) = 2*a**2 - 5*a - 3. Let b(u) = -u - 1. Let x be b(2). Give x*m(y) + 7*v(y).\nAnswer: y**2 + y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 151\/25272 and -101\/162?\nAnswer: 25272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 287533 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 - 84 - 1\/1)\/(-1). What is the second derivative of -52*n**4 + 50*n - q*n + 72*n wrt n?\nAnswer: -624*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 174759474 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -413*n**3 + 3041 + 31*n**3 - 31*n**2 - 3041.\nAnswer: -382*n**3 - 31*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -6*a + 6. Let s(y) = -y + 2. Let m(n) = -l(n) + 3*s(n). Let h(t) = -15*t**2. Give m(h(j)).\nAnswer: -45*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 3*p - 7. Let l be m(9). Solve 6*r - r = -l for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(-2\/7))**(-47)*(l*l\/l**9)\/(l\/(l**(-1\/6)*l)*l) assuming l is positive.\nAnswer: l**(-2881\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7316 and 341.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.077676 plus 0.9008?\nAnswer: 0.823124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-33)\/990*(7 + -16)?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*s**3 - 260470*s**2.\nAnswer: 5*s**2*(s - 52094)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1bb9 (base 14) to base 10.\nAnswer: 5063","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (5 - -3) - -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*w + 14*w - 24 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l**3 - 2 - 16 - 4*l**3 - 48*l - 6*l**3 - 2*l**3 - 2*l**4 - 44*l**2 = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2822 and 170.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24656 (base 9) to base 16.\nAnswer: 40bf","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ti when two letters picked without replacement from zzlitttzit?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1013402?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -550167568*d**4 + 32*d + 13375345 wrt d?\nAnswer: -6602010816*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 18 by -28.\nAnswer: -9\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 13 + 7 = -4*x, -15 = s + 3*x. Suppose s = 6*r - 7624 + 2092. Suppose -v + 2330 = 4*z, -2677 + r = -3*z + 3*v. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -3310, 0.4, -5, 0, 0.06?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**3 + 5*q**2 - 4. Give x(4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = x - 4, 33*y - 37*y - 14 = -x. Which is the third smallest value? (a) 63\/10 (b) -0.1 (c) y (d) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3361 to the power of 1\/4, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**5\/9 - 8*p**4 + 308*p**3\/9 - 472*p**2\/9 + 106*p\/3 - 80\/9.\nAnswer: -2*(p - 1)**4*(p + 40)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.70483387 to three decimal places.\nAnswer: -0.705","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 84*y**3 - 348*y**3 - 123*y**3 + (-3 + y + 3)*(-6*y**2 + y**2 + 4*y**2).\nAnswer: -388*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b**2\/4 + 15*b - 425\/4 = 0.\nAnswer: -17, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:50 PM and 3:41 PM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/10)\/(56\/(-140)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.4 and 2086.\nAnswer: 2086.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -317\/10 - -186\/5. Find the common denominator of k and -65\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2922.\nAnswer: 2, 3, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**3 - 9*r**2 + 11*r + 12. Let t be x(-10). Suppose 0 = 2*s - n - 26, 0 = 5*s - t*n - 0*n - 64. Calculate the highest common divisor of s and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0259512924 rounded to four decimal places?\nAnswer: -0.026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -7*a**3 - 11*a**2 + a - 6. Let r(f) = -15*f**3 - 22*f**2 + 2*f - 13. Give -6*r(y) + 13*u(y).\nAnswer: -y**3 - 11*y**2 + y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 120 and 2184.\nAnswer: 10920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -o + 2*d, -2*o + 0*o - 3*d = 4. Let p = 5 + o. Find the second derivative of 4*u**3 + 2*u + 2*u - u**p wrt u.\nAnswer: 18*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -181697283*f + 363394554*f - 181697278*f.\nAnswer: -7*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 13345\nAnswer: 3\/13345","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 503826 is divided by 5248.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 6*f**2 + 2*f - 2. Let d be a(3). Let z = d - 59. Is (z + -2 - -5) + 189 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6192 - -26?\nAnswer: -6166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + -49 + -4 - -44?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:51 PM and 8:32 PM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**2\/2 + 50851*j\/2 + 41042379.\nAnswer: (j + 1669)*(j + 49182)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 307, 615, 929, 1249, 1575, 1907, 2245?\nAnswer: 2589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 121724 is divided by 235?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*i*m**3*s - 2*i*m**2 + 2*i*m*s - 385*i*m + 80948*m**3 + m**2*s + m**2 - 2*m*s wrt m?\nAnswer: 12*i*s + 485688","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5123.\nAnswer: 47, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*s - 74 = -50 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssyissi. What is prob of picking 2 i, 1 s, and 1 y?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*q**3 - 27848859*q**2 + 537400723*q wrt q.\nAnswer: 48*q - 55697718","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 66686.8 litres to millilitres.\nAnswer: 66686800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(35)\/sqrt(5) + 3 - (sqrt(7) + -2)*4.\nAnswer: -3*sqrt(7) + 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**2 - 13*y - 42. Let s = -89 - -106. Let c be b(s). Let k = 46 - c. Solve k = -o - 0*w + 5*w, 4*o - 5*w + 35 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12 - -18) + -16 + 4.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 53\/5 of a millennium?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**3 + 47*p**2 - 111*p + 2117. Determine w(-50).\nAnswer: 167","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -6*(15\/(-6))\/(-5). Let p(k) = -3458*k**2 - 6*k + 4. Let r be p(b). Round r to the nearest 1000.\nAnswer: -31000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(-1\/3)*z*z**(-7))\/(z\/(z\/(z**(-4\/3)*z))*z**(2\/17))*(z**5*z\/(z*z**6))\/((z\/(z*z**(-1\/4)*z)*z)\/z**(2\/9)) assuming z is positive.\nAnswer: z**(-3761\/612)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 + 108876 - 14\/1 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -78218, -78100, -77904, -77630, -77278, -76848?\n\"Answer: 39*j**2 + j - 78258","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 298, 297, 296, 295?\nAnswer: 294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -9173 and -20.57?\nAnswer: 9152.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1a72 (base 14) to base 6\nAnswer: -34124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4152 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 9335411 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 10 + 231\/(-22) + 5\/10\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y = 46*n + 1220 - 377, 2*y - 80 = 5*n for n.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 168 + -85. Suppose k = 4*x + g, k + 332 = 5*k + x. Is k a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -11*a**3 - a**2 - 3*a + 1. Suppose 2 = -4*t + 5*f, -t - f + 2 = -2. Let k be n(t). Find the common denominator of (-2)\/4 - k\/6 and -43\/11.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4.2445 + 1892.5855. Let w = x - 1906. What is w rounded to the nearest integer?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15, -79, -255, -597, -1159, -1995, -3159?\nAnswer: -4705","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = g + 8, 3*q - 2*q = 5*g + 24. Let y be 6 - 2 - (q + 0). Let u(h) = 4 + y*h**3 - 8 - 7*h**3 + 3 + h**2. Give u(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -3215, -12705, -28505, -50597, -78963?\n\"Answer: 3*k**3 - 3173*k**2 + 8*k - 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10952\/5 - 294\/5*q**2 + 2\/5*q**3 + 10656\/5*q = 0. Calculate q.\nAnswer: -1, 74","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 2*a + 17. Let i(c) = -c - 8. Let h(o) = 9*i(o) + 4*m(o). Let z = 2 - 5. Determine h(z).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -0.4, 2, -23.6?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 2 = 2*w + 3, -3*w = 2*h - 18. Suppose h*k = 8*k - 20. Suppose -k = -b - 1. Solve -b*i + 1 = 4 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 810 and 5430?\nAnswer: 146610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 123701?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3274.238 rounded to the nearest one hundred?\nAnswer: 3300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 10*k**2 - 21*k - 6. Let v(h) = -5 + 0 + 3 + 3*h**2 - 7*h. Let u(q) = 2*p(q) - 7*v(q). Let j be u(5). Solve -4*i + n = -i + 9, -4*n = -j for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h - 9703. Let u(r) = r. Calculate m(u(y)).\nAnswer: y - 9703","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 0 + (-42 - -24)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 389605850 to the nearest 1000000.\nAnswer: 390000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times -250\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -1334*i**3 + 3*i**2 - 2*i - 3. Suppose 5*w - 40 = 5*q, 4*w = -4*q + 3 + 5. Let n be 3\/3*-1*q. Let y be o(n). What is y rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 15*x**3 - 5*x**2 - 3*x + 6. Let f be w(6). Let h be ((-12)\/16)\/(27\/f). Let n = -87 - h. Is n at least -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (1 - 1) + -127 + 126.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 320\/(-400) + 176\/(-480).\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1950*i*j**5 - 74*i*j**2 - 5*i*j + 16*j**5 + 2*j wrt j.\nAnswer: 117000*i*j**2 + 960*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 3223\nAnswer: -5\/3223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*t + 3*g, -6*t + 2*t = -g for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 4*f**2. Let w(i) = -3*i**2 - 2*i**2 + i**2 + 14*i**2 + 13*i**2. Give w(l(v)).\nAnswer: 368*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 10*c + 8. Let b(h) = 20*h + 15. Let o(g) = -3*b(g) + 5*i(g). Let d be o(3). Find the common denominator of 317\/91 + (-10)\/d and 17\/6.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 - 2. Suppose 2*f = -2*d - 10, -5*f - 10 - 6 = 2*d. Let i = 4.1 + -0.1. Which is the closest to k? (a) d (b) i (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:00 AM and 12:13 PM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 658 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -14, -4, -1329 in descending order.\nAnswer: -3, -4, -14, -1329","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 - ((3 - -3) + -11) - -35.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together -6797.53 and 2.9.\nAnswer: -6794.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 888231781?\nAnswer: 317, 1009, 2777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -528704*m**2*z + 4*m**2 + 4*m + 5*z + 33031 wrt z.\nAnswer: -528704*m**2 + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*a**2 + 79 - 73*a**3 + 36*a**5 - 11*a**3 + 57*a**3 + a**4 wrt a.\nAnswer: 2160*a**2 + 24*a - 162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(275)\/(sqrt(704) - sqrt(11)))\/(sqrt(180)*-4)*-2)**2.\nAnswer: 5\/7056","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p**4 + 4*p**4 + 2*p**4)*(0*p + 4*p + 14*p) + 0*p + 2*p**5 + 0*p + (p + 0*p + 0*p)*(3*p - 3*p + 2*p**4).\nAnswer: 76*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3526)\/2128 + 30\/(-240) - -1. Is g > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((l\/((l**(-3\/8)\/l*l*l)\/l*l))\/l)**25)**17)**(2\/23) assuming l is positive.\nAnswer: l**(-2125\/92)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b**5\/7 - 508*b**4\/7 + 206420*b**3\/7 + 3621258*b**2\/7 + 13574061*b\/7 - 2485890 = 0. Calculate b.\nAnswer: -770, -9, 1, 279","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.10577 and -4997563.\nAnswer: -4997562.89423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32aaa (base 13) to base 15.\nAnswer: 1c372","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1789974988?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1061844891.\nAnswer: 3, 31, 193, 59159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.786 minus 366?\nAnswer: -366.786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 2*p - 3. Let f(u) = 25*u - 35. Let x(s) = 3*f(s) - 35*v(s). Let j be 26\/12 + 8\/(-48). Let z(b) = 497*b - 2*b**j - 497*b. Calculate x(z(q)).\nAnswer: -10*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 425*r - 9375. What is z(22)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 3775324?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -244 + 10?\nAnswer: -234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the third derivative of 0*c**4 + 0*c**3 + 3\/220*c**6 - 1\/385*c**7 + 0*c**5 - 1\/154*c**8 + 0 + 73*c**2 + 0*c. Factor k(y).\nAnswer: -6*y**3*(y + 1)*(4*y - 3)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 280*h - 481*h + 282*h - 2*h**2.\nAnswer: -2*h**2 + 81*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes after 10:27 PM?\nAnswer: 11:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 7b - 3?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -194*y - 6*y + 93*y + 105*y.\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cacackabaccckkyyc. What is prob of picking 1 c, 1 k, and 1 b?\nAnswer: 21\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*i - 9*i = -11*i - 76 - 44 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**3 + 4*g**2 - 32*g - 4. Let v be 3\/(((-231)\/(-56))\/(-11)). What is f(v)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*q + 124 = 172 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 192424 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*d**4 + 0*d**4 + d**4 + (8*d - 6*d - d)*(6*d**3 - 2*d**3 + 0*d**3).\nAnswer: 3*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/6)\/(-6*(-18)\/(-108)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 164 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 21 + -34. Let d = -8 - l. Let c = 4.6 - d. Sort -1, -1\/3, c in descending order.\nAnswer: -1\/3, c, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = t + 4*t. Suppose 0 = 3*p - 11*p + 184. Suppose 5*o = -5*b + t, 2*b + 5 = 2*o + p. Do -5 and o have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5.4 + 6.03. Let h = m + -0.13. What is the closest to 1 in 3, -5, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 - -1253465102?\nAnswer: 1253465106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 3822, 3823, 3824, 3825, 3826, 3827?\n\"Answer: i + 3821","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 7 - 3*v**4 + 48*v**3 + 29*v**2 + 2*v**4 - 29*v**2 in the form c*v**2 + f*v**3 + y*v + q + h*v**4 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 3 = 1. Let d be (-2)\/8 - 83\/r. Let x be -2*(0 + 3\/d). What is the second biggest value in 0, -3\/2, x?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -40493.2 + 777543?\nAnswer: 737049.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*k**2 + 32*k**2 - 38*k**2.\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 757755?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -7*d*j**2 + 171*d*j - 31*d*l**2 - 12*j**2*l**2 - j*l**2 wrt l?\nAnswer: -62*d*l - 24*j**2*l - 2*j*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes before 9:34 PM?\nAnswer: 4:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 879?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-8 - (7 + (-1945)\/130))*-4\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/(-9) - 4*(-2)\/(-42). Let s = -129.6 + 130. Which is the biggest value? (a) -9 (b) 1\/6 (c) m (d) s\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -19*m**5 + 6*m**4 - 6*m**3 + 13*m. Let z(c) = c**5 - c**4 + c**3 - c. Let a(w) = -b(w) - 6*z(w). Find the second derivative of a(d) wrt d.\nAnswer: 260*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, -11\/1406, 0.3, 2\/45, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 5 + -6 + -79 - ((-36 - -47) + -18).\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -72 divided by 139152\nAnswer: -3\/5798","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the second derivative of -r**8\/13440 + r**7\/2520 - 19*r**4\/12 - 3*r. Let o(w) be the third derivative of b(w). Factor o(q).\nAnswer: -q**2*(q - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61510?\nAnswer: 2, 5, 6151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 142 = 4*h - 2*n, 2*h = -2*n - 17 + 97. Suppose 385 - 1421 = -h*l. Calculate the remainder when 154 is divided by l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3, -66\/61, -0.1, -2\/5, -11?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**3 - z**2 + 12*z + 10. Let o be l(-4). Suppose -o*w + 64 + 206 = 0. What is the remainder when 8\/6 - -12*784\/72 is divided by w?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c*c*c**(-17)*c)\/((c**(-7)*c)\/c*c))\/((c\/c**(-23)*c)\/(c\/((c\/c**(-10))\/c))) assuming c is positive.\nAnswer: c**(-41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3129908989 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -115\/68 + 16\/17. What is the second smallest value in -2, -42, b?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 573203 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.07 and 1.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a + 2*a - s + 76, 4*a + 5*s = -100. Let n(h) = -h + 16. Let m be n(a). Suppose -q - q + 2*y = -m, -5*q + 4*y = -86. Is q equal to 13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the first derivative of -s**8\/252 + s**7\/63 - s**6\/60 - s**5\/90 + s**4\/36 - 3*s**2\/2 + 2. Let m(p) be the second derivative of n(p). Factor m(w).\nAnswer: -2*w*(w - 1)**3*(2*w + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8132, 16550, 24976, 33416, 41876?\nAnswer: 50362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -29 + 31. What is the tens digit of g\/6 - 534\/(-18)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 345\/226 + -3\/113. Let p = -89\/2 + 45. Factor -1\/2*f**4 - x*f**3 - p*f**2 + 1 + 3\/2*f.\nAnswer: -(f - 1)*(f + 1)**2*(f + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 133\/8676 and 103\/30366.\nAnswer: 60732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-10))\/((-1)\/10*-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2264056 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 5*s + 347, 0*t - 2*t = -2*s - 134. Let j = 88 + s. Calculate the smallest common multiple of 294 and j.\nAnswer: 882","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -397 + 397. Sort 5, w, -1, -5 in descending order.\nAnswer: 5, w, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -22 - -36. Suppose -f + 4 = 5*v. What is the units digit of (5 - (-1 - v)) + -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes before 2:40 AM?\nAnswer: 5:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes after 5:23 AM?\nAnswer: 10:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15593305 divided by 1505.\nAnswer: -10361","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -5*p**2 - 1. Let s = 7 - 4. Suppose 2*n - s*n = -1. Give m(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -9*d + 50. Let q(v) = v - v**2 + 6*v**2 - 4*v - 2 + 2*v + v**3. Calculate the remainder when q(-4) is divided by h(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 2*t + 1 - 2*t + 2*t - 5*t + 0 + 0 + t + (-2*t - 4 + 4)*(3 - 2 - 2) + t - 4*t + t - t + 2*t + t - 4*t + t + t.\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n - 8, -2*m + 3 = 3*n + 9. Suppose m*v - 6 = 60. Let z = -12 - -18. What is the remainder when v is divided by z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-395 + 480 - 87 - 2535 - 746 - 898)*(-84*r + 162 - 162) to x + a*r and give a.\nAnswer: 351204","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12 + -27. Let u = -3 - b. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5971359 divided by 5?\nAnswer: -5971359\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + 2 + 1)*(3 - 4 + 3) - 1 - 4 + 4 + 6 - 5 - 4 + 3 + 2 - 4)*(-f**4 + 9*f**4 + 7*f**4).\nAnswer: -75*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 6, q: 2, a: 4}. Give prob of sequence abba.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 39394332 and 63058.\nAnswer: 1538","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12259 = 655*t + 4116 for t.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 9*f**2 + 4*f - 4. Let w(i) = 4*i**2 + 3*i + 11. Let h(b) = -3*b**2 - 2*b - 8. Let o(c) = 7*h(c) + 5*w(c). Give -4*o(s) + t(s).\nAnswer: 13*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2070 divided by -45.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4075.724l to millilitres.\nAnswer: 4075724","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*n = 17*n - 112. Is n a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1132 and 32.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -110011110 (base 2) to base 12\nAnswer: -2a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 170762 (base 8) in base 4?\nAnswer: 33013302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, 5, -0.1, 0, 840\/13, 2\/23?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -389 or -21334\/55?\nAnswer: -21334\/55","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 2454888?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w when three letters picked without replacement from wwsswsvsnnnvsnw?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0051071591 rounded to three decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(1 + 16\/(-12)) - -5. Calculate the highest common factor of 8 and o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -156554221171\/695638595547 + 1\/109325569. Let r = a - -2\/707. Which is smaller: r or 4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1546*l = s - 1541*l + 20, -2*l = 4*s - 136. Suppose -x - 1021 = -2*m, -4*m + x + 2044 = -3*x. What is the greatest common factor of s and m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/4)\/((-46020)\/2832).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, q: 2, i: 4, x: 6, v: 2}. Give prob of sequence ovv.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 38 = 26. Suppose -2*o + 5*s = -3*o - 11, 0 = -5*o - t*s - 11. Let p be 506\/1980 + (-1 - 7\/(-9)). Which is bigger: o or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 1.6, 4, -3?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 2)*(3 + 1 - 7)*(2*y**4 - 3*y**4 - y**4) - 42*y + 42*y + 15*y**4.\nAnswer: 27*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 353, 380, 455, 602, 845, 1208?\n\"Answer: 4*j**3 - j + 350","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21.270531 milliseconds to minutes.\nAnswer: 0.00035450885","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11.30576l?\nAnswer: 11305.76","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((1403\/(-391))\/61)\/((-4)\/476).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 4*x - 13. Suppose 0 = -5*m - 0*m + 5. Let s be (m + -1)\/(0 - -2). Solve 0 = 5*i + 5*p - 10, 3*i + x*p - 10 = s for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 184 - 180. Let u(t) = 2*t**2 + t + 2. Calculate the remainder when u(2) is divided by l.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3337615 and 61.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.2 and 85972682338.\nAnswer: 85972682337.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**3 - b**2 - b - 345. Let g be u(0). Let f be g\/(-69)*(-52 + -1)*100. Round f to the nearest 10000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 869748*w**2. Let z(g) = 2*g**2. Calculate z(s(v)).\nAnswer: 1512923167008*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2\/5)\/c)\/c**(-7\/3)*c*c\/(c*c\/(c**(2\/17)\/c)*c)*c**(-4\/7) assuming c is positive.\nAnswer: c**(-2714\/1785)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xz when two letters picked without replacement from xzcfx.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 3 - (7 + (-15 - -6))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 825 and 12538603.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 - (-631 + 634 + (57 - -1))?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 2 z when three letters picked without replacement from {z: 2, e: 2, c: 4, w: 2}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -2*d**3\/3 - 110*d**2\/3 + 226*d\/3 - 38 = 0.\nAnswer: -57, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 12133010 (base 4) in base 2?\nAnswer: 110011111000100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-7\/6)\/(z\/z**(-28)) assuming z is positive.\nAnswer: z**(-181\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2496 to the power of 1\/4, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 73852 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a**4\/4 - 39*a**3\/2 + 687*a**2\/4 - 585*a + 675 = 0 for a.\nAnswer: 3, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h\/(h\/((h*h*(h\/h**1)\/h)\/h))))**(-40)\/(h**(1\/7)\/(h\/((h\/((h*h\/(h*(h*h**(3\/4)\/h)\/h*h))\/h))\/h))) assuming h is positive.\nAnswer: h**(-1117\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.3, -4, -0.1, 40?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -2400, 174 in descending order.\nAnswer: 174, -5, -2400","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 0*l - l + 4*l**3 - 5*l**3 + l**2. Let r(f) = -11*f**3 + 6*f**2 + 3*f. Let n(s) = -6*a(s) + r(s). What is the second derivative of n(y) wrt y?\nAnswer: -30*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-45)\/(-45)*(-2)\/(-8).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38920 is divided by 12960.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s + 4. Let d = 20 + -14. Is 10 a factor of p(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 37\/190?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 4*(2 + sqrt(192)) - (sqrt(24)\/sqrt(8) + -1 + sqrt(336)\/sqrt(7))**2.\nAnswer: -73 + 42*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**3 + 5*u**2 + 2*u - 5. Let a = 12 - 12. Let q = 4 - a. Calculate the remainder when 37 is divided by n(q).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.5 in -0.1, 6, -2\/7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20 is divided by -1 + 8 + 0 + 0.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2 + (4 - 3))*0 + 3061 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 910 a factor of 27661270?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4\/6 + -788*30\/(-72).\nAnswer: 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*n**4\/9 - 2822*n**3\/9 - 238*n**2\/3 + 2822*n\/9 + 706\/9 = 0.\nAnswer: -1, -1\/4, 1, 353","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 44108 * -0.521\nAnswer: -22980.268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 293 is divided by 98.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 7) to base 3\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 338 + -1?\nAnswer: 337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d - 8*v = 23 + 17 - 10, 2*v + 8 = -d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -1\/42803?\nAnswer: -1\/42803","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 142 + -146. Let a be 7 - 0 - (6 + f - -3). Solve 4*i - 10 = -2*q - 0*q, 5*q - 9 = -a*i for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(5\/3))**(-15)\/(v\/v**(7\/2)*v)**(2\/3) assuming v is positive.\nAnswer: v**(-24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 2*u + 6 - 5)*(4*u + 72*u**2 - 2 + 69*u**2 - 142*u**2) in the form w*u**2 + d + f*u**3 + n*u and give d.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12687?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-63)\/36)\/((-10)\/68) and -45\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2984)\/(-5040) + -2 + 7\/5. Let a = -419\/5166 - d. Is 0 less than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n - 0 + 4. Suppose -4*y - 4*j - 2 = 2, 4*y + 20 = 4*j. Suppose i + 0*i = -4. Sort y, n, i.\nAnswer: i, y, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.436387 to 1 dp.\nAnswer: 8.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10 - -13. Suppose 12 = 4*g + 4. Suppose 2*s = -0*s - g. Put s, -4, k in decreasing order.\nAnswer: k, s, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-140)\/40*748\/154.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 144412?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-71 + 29 - -32 - -56) + -3?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -9*n + 13*n. Suppose 3*c + n*u = 3*u + 184, -3*c + 5*u + 170 = 0. Calculate the greatest common factor of c and 40.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**3 - 15*v**2 + 400*v + 58. Give d(-29).\nAnswer: 232","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, f: 9}. What is prob of sequence mff?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.496 times -0.97\nAnswer: -0.48112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 176 and 209.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 276*c + 1402. Determine n(-5).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 3*r**4 - 60*r**3 - 5844*r**2 - 11424*r = 0.\nAnswer: -34, -2, 0, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5153191?\nAnswer: 5153191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 44678?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 853*b + 49905 - 48199 = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**2. Let q(w) = 6*w**2. Let u(s) = -6*b(s) + 2*q(s). Let h(x) = 3*x. What is h(u(d))?\nAnswer: 18*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 797.\nAnswer: 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*x**2 + x**2 - 3*x**2 - x**4)*(3 - 3 - 3)*(8 + 17 - 4) to k*x + r*x**3 + c*x**2 + i*x**4 + h and give c.\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -4709112 divided by 1569704\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1286481 and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/646 and 109\/14288.\nAnswer: 242896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -576 divided by -6\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 0.1366948 weeks?\nAnswer: 82673.01504","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(300)\/sqrt(6) - (0 + (sqrt(2) - (sqrt(2) - sqrt(98))) + 3))**2.\nAnswer: 4*sqrt(2) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 + -19331c?\nAnswer: -193317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5 - (-176)\/(0 + 4). Let j be 2\/(w\/(-10) - -5). Solve 3*u = 12, -5*u + j = -i - 0*u for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2272247 is divided by 21?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**3 + 3*q - 13. Let n be w(2). What is the nearest to n in -2\/19, 4, -1, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x - 20 = 4*c, 4*c + 19 = -x + 4*x for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the first derivative of -s**6\/24 - s**5\/20 - 5. Solve v(p) = 0 for p.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38901.59ml in litres?\nAnswer: 38.90159","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 325 = -85. Let z = -25 + k. Does 7 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 952*a = -879*a - 521*a + 122304 for a.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 - 23. Let s = g - -23.2. Is 4 at most as big as s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3371, 5, -0.13, -0.1 in decreasing order.\nAnswer: 3371, 5, -0.1, -0.13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.43814 to 1 decimal place.\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -a8ae (base 16) to base 10\nAnswer: -43182","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/7*(-23436)\/1488.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4790629?\nAnswer: 751, 6379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (19 - (22 + -17)) + -9 + 1.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 895 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 54*f + 135. What is the hundreds digit of p(8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -353*t + 182*t + 171*t - 51*t**2 as f*t**2 + i + r*t and give f.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 330922164, 330922166, 330922168?\nAnswer: 330922170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -2.8 at least as big as -0.07?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eight fifteenths of a millennium?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 95 is divided by 56.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 46, 110, 200, 328, 506, 746, 1060?\nAnswer: 1460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.2, 4\/33, 3\/5?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1344) + 1*sqrt(1344) - sqrt(1344) - sqrt(1344) - sqrt(21) - (2*sqrt(525) - sqrt(21)))\/(-2*(sqrt(77) + sqrt(77) + sqrt(77)*-1)\/sqrt(11)).\nAnswer: 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**4*d)\/d*d**(2\/11)\/d*d\/d**7*d\/(d**(-3\/4)*d))**(-1\/17))**(-5) assuming d is positive.\nAnswer: d**(-455\/748)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 426, 1532, 3324, 5802, 8966, 12816, 17352?\nAnswer: 22574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 2\/7, 26059\/9, 0, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 4*l + 60 = 0, 0*w + 55 = 4*w + l. Let b = -69 - -123. Calculate the remainder when b is divided by w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/3*(-351)\/78.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 2*j**3 + 13*j**2 - 7*j**2 + 4*j + 4 - 10*j**2. Let h(w) = 3*w**3 - 6*w**2 + 6*w + 6. Let c(i) = -5*h(i) + 8*p(i). What are the prime factors of c(2)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.712079563 rounded to 1 dp?\nAnswer: -7.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -279258, -279253, -279248, -279243?\nAnswer: -279238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*r + 11*r + 9 = 0. Solve h = r*s - 8 - 11, 3*s - 3*h - 27 = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 5*h + 5 - 17 = 0, -4*u = 2*h. Let w(q) = -q**2 - 7*q + 1. Let g be w(-7). Let d(p) = -26*p + 27*p + g + 3. Calculate d(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 6 = 2*n, j - 2*j - n + 3 = 0. List the prime factors of j\/(3\/2) + 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 163980.7 litres to millilitres.\nAnswer: 163980700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q - 4*f - 80 = 2*q, 1 = f. Solve -5 = -4*y - q for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*x**2 - x**2 + 3*x**2 + (0 + 0 - 4*x)*(-114*x + 112 - 112).\nAnswer: 458*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/(((p\/(p*p**(-9)*p))\/p)\/p*p)*p)\/p**(-2)*(p**(2\/17))**(2\/7))**(1\/38))**40 assuming p is positive.\nAnswer: p**(-7060\/2261)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 20*l**3 + 2*l - 4*l**4 - 20*l**2 - 15*l - 7*l + 24 = 0.\nAnswer: -1, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(832) - 4*(sqrt(13) - (sqrt(13) + (sqrt(78)\/sqrt(6) - sqrt(13)))).\nAnswer: -3 + 8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3\/249490 - -249469\/1746430. Factor -4\/7*y + 4\/7 - w*y**2 + 1\/7*y**3.\nAnswer: (y - 2)*(y - 1)*(y + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.03841 * -4\nAnswer: 0.15364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.5 + 0.6. Let o = 2.5 - 2. Let w = 100 - 100. Put l, w, o in decreasing order.\nAnswer: o, l, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from {n: 4, c: 3}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**3 - 7*h**2 - 3*h - 26. Does 5 divide g(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**2 - 63*u - 373. What is v(64)?\nAnswer: -309","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 1 (b) -75 (c) -3\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13766208619 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2956?\nAnswer: 2, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 - 6. Suppose 4*p + 30 = q*d + 8*p, 2*d - 15 = p. Solve 4*u - 2*n = 14, 2*n - 3*n - d = -4*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(832)*2*3)*-5)**2.\nAnswer: 2400*sqrt(13) + 748825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.082 + -3.818. Let r = c - -3.74. Let s = r + 0.16002. What is s rounded to 4 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1177?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 27450 and 281970.\nAnswer: 86000850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, q: 2, r: 2}. Give prob of sequence trr.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 25 + v**2 - 15*v - 15 - 3*v**2. Let d be b(-8). Suppose -o + 382 = 5*m, -d*m + 0*o + 4*o = -144. What is the tens digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2820 + 2861. Is z a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1791789487 + 1791840158.24918. Let k = c - 50672. Let d = k - -0.75. What is d rounded to four decimal places?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.93 - 0.03. Let n = -0.5 + g. Let f = 0.1 - 0.2. Which is the second smallest value? (a) f (b) n (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/(-6)*20\/135*3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 134, -23 in decreasing order.\nAnswer: 134, 5, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1608564 and 3876?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000113073 to six decimal places.\nAnswer: -0.000113","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1\/(-2))\/((-4)\/(-80)). Let s(m) = 7*m + 15. Let d(c) = -8*c - 16. Let z(n) = -6*d(n) - 7*s(n). What is the units digit of z(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, 196, -3?\nAnswer: 196","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes before 4:30 AM?\nAnswer: 10:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -4*o + 3. Let w(q) = 2*q - 4. Let t be w(3). Let g be z(t). Let i = g + 18. What is the highest common factor of i and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o**3 + o**3 - o**3)*(-5 + 0*o + 2 - o) + o**4 - 5*o**4 + 0*o**4.\nAnswer: -o**4 + 9*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44742 is divided by 263?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 134572.86*9\nAnswer: 1211155.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve w + 2*x = -5, 26*w + 4*x = 29*w - 35 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4966.11 - 23.852?\nAnswer: 4942.258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -80, -69, -44, 1, 72, 175, 316, 501?\nAnswer: 736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11930989?\nAnswer: 7, 53, 32159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (2 + 2 - 3)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 1\/38?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7695?\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25899*r = 26839*r + 940 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 - 5.3. Let j = 6.368 + -5.368. Let k be 1*2\/(-10)*2. Which is the closest to j? (a) 1\/4 (b) l (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 210022011221 - 11?\nAnswer: 210022011210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 4, h: 1, o: 3}. Give prob of picking 3 o.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes after 6:49 PM?\nAnswer: 2:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16825 divided by -5.\nAnswer: -3365","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5577.641 + -9.359. Let h = b - -5586.6977. Let x = -0.29 - h. Round x to 3 dps.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**3 - 38*y**2 - 36*y - 55. Suppose -7*m + 3*u - 69 = -9*m, -m + 30 = 3*u. Let f be w(m). Is f >= 62?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 157?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2318861 a multiple of 271?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 12*d**4 - 19856*d**3 + 131984*d**2 - 237376*d + 105472 = 0.\nAnswer: 2\/3, 2, 4, 1648","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5*(0 + (1 - 3))\/(-2). Suppose o*g + 5*b + 0*b = 5, 4*g + b = 19. Calculate the greatest common factor of g and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 - -6. Let b be 2 + -2*k\/4. Let u(i) = 3*i**2 + 1. What is the remainder when 9 is divided by u(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24204022 (base 6) to base 9\nAnswer: 1382475","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -64 - -69. Suppose 5*z - 27 + 6 = -y, -v*z = -3*y - 17. List the prime factors of ((-1656)\/(-3))\/4 + z.\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 819.0684us to seconds.\nAnswer: 0.0008190684","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 479224.\nAnswer: 2, 37, 1619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2561608 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -131125 - 7473570 = -85*l. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*h**3 + 18*h**3 - 3*h**3 + 2*h**3.\nAnswer: 4*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than -2\/102435?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 2, 0.09, -3, -2\/19?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjp when three letters picked without replacement from tttpptfjtjttttjt?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -34*u + 3. Let z be y(6). Let w be (-5*(92\/10 - 2))\/(-1). Let s = w - z. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2442\/(-330))\/(16\/80)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:43 PM and 10:29 PM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 241 (base 5) to base 9.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.753 + -3.017. What is h rounded to one dp?\nAnswer: -3.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 33 and 436.7.\nAnswer: 14411.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -43131, -43155, -43179?\n\"Answer: -24*i - 43107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 40919665 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2000 + 11122021?\nAnswer: 11120021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**3 + 27*j**2 + 25*j + 25. Let q be p(-26). Let t = q - 63. Let s be (-9)\/12 + 5519991\/t. Round s to the nearest one hundred thousand.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -125 - -126. Suppose -3*n + 17 = 5. What is the greatest common factor of n and l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -62 (b) -1 (c) -4 (d) 0.1 (e) 0.12116\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1060 is divided by -1*((-244)\/12 + 6) - 4\/(-6).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -5*i - i**2 + 5*i. Let p(f) = -1373*f + 115329. Let c be p(84). Let l(k) = -4*k**3 + 2*k**2. Determine c*l(r) - 6*v(r).\nAnswer: 12*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 101 is divided by (8 + -18 + 0)\/(2\/(-7)).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/((-9)\/210*(-168)\/72*155\/2).\nAnswer: -4\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3 + 3\/((-6)\/(-2)). Let d be ((-32)\/t)\/(-7 - -9). Let o be 35\/196 + (-6)\/d. Which is the nearest to 1? (a) -2\/21 (b) o (c) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 3*z = -72. Does 13 divide (z\/(-21))\/((-2)\/(-56))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((0 + sqrt(11))*-1 + sqrt(11))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.8009 + 63556\nAnswer: 63556.8009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -190350.439 + -169.561. Let n = 190347.862 + l. Let q = 172 + n. What is q rounded to two dps?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 6*h = h + 65, 2*h - 18 = -p. Let s(o) = -4*o + 35. Give s(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kffjkkjkkjjjf. What is prob of picking 1 f and 1 k?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:34 AM and 11:01 AM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 565 (base 10) to base 8\nAnswer: 1065","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 60525818?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-15)\/(-6))\/((-2)\/(-4)). Let i(k) = 3*k**2 + 5 - z. Let b(h) = 15*h + 7*h + 7*h - 31*h. Calculate b(i(f)).\nAnswer: -6*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**2 + 4*u + 2. Let l be w(4). Suppose -d + l*t - 10 - 6 = 0, 0 = 2*d + t + 7. What is the common denominator of (d\/(-14))\/(21\/175) and -99\/8?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ykkkkkkk. What is prob of sequence kykk?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (92\/22)\/(48\/(-318)). Let i = 340\/11 + n. Let d = -15\/4 + i. Which is the nearest to -1\/3? (a) -0.1 (b) -0.2 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i**4\/2 + 7*i**3\/2 - 15*i**2\/2 + 13*i\/2 - 2 = 0 for i.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -5568 less than or equal to -156?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*r + 23 = -62 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3 and 0.0037611027.\nAnswer: 3.0037611027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 230528612.\nAnswer: 2, 197, 292549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*v + 3*v, -5*v = -b - 3 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((556\/695)\/(6\/25))\/((-105)\/(-2646))\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in 0.5, 1\/14, 41, 1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5496)\/120 + 55 - ((-12)\/(-10) + -1).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 15, d: 4}. Give prob of picking 3 w and 1 d.\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1*(0 + 0 + -7). Let y be -2 - ((-23)\/h + 1). Let x = 2.5 - 2. Sort x, 2\/13, y in decreasing order.\nAnswer: x, y, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 1 = -l + 12, -13 = 4*l + 3*s. Which is smaller: -27\/4 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 2, 38, 9, 3 in increasing order.\nAnswer: 2, 3, 9, 13, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -1964*b. Let t(h) = 14729*h. Let q(c) = 15*i(c) + 2*t(c). Let p(y) = -y**2 + 14 + 3*y**2 + 96. Give p(q(f)).\nAnswer: 8*f**2 + 110","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.0096 + -11.0096. What is the closest to o in -2, 3, 0.15?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15 divided by -7667790\nAnswer: 1\/511186","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*3*(0 + ((sqrt(475) - -2*sqrt(475)) + 4)*4))**2.\nAnswer: 17280*sqrt(19) + 617904","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/((g*g**15)\/g))\/g**(-2\/117))\/(g**(-6))**50)**28 assuming g is positive.\nAnswer: g**(936992\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**3 - r**2 - r + 1. Let y(o) = o**2 + 9*o + 10. Let k be y(-8). Let c be h(k). Let x(p) = -4*p + c*p + 2*p. Let g(f) = -10*f. Calculate g(x(j)).\nAnswer: -10*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/5 or 4\/3?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 420232 (base 9) to base 10\nAnswer: 249509","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -2740.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 - ((-8 - (-3 - 13)) + 80 - -2).\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -91649489 - 11?\nAnswer: -91649500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -d*v**3 + 386*d*v + 234*d + 183856*v**3 + 2*v wrt v.\nAnswer: -6*d*v + 1103136*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 0, 38, 138, 330, 644, 1110, 1758?\nAnswer: 2618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-2*(sqrt(77)*-1 + sqrt(77) - sqrt(77))*-6)\/(sqrt(7) + sqrt(28) + sqrt(28)*3 - sqrt(504)\/sqrt(8)).\nAnswer: -10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the first derivative of 4*r**2 + 1. Let o(i) be the third derivative of i**4\/24 - 3*i**2. Determine a(o(l)).\nAnswer: 8*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-486)\/(-33))\/1 - (43 - 2523\/87).\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54*j**2 + 258*j**2 + 280*j**2.\nAnswer: 592*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28055433 divided by -128107.\nAnswer: -219","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wjjwjjjwjwjwwj. Give prob of sequence jjw.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6232 and 198112.\nAnswer: 3764128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 353?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -6*y**3 - 5*y**2 + 8*y - 21. Let p(g) = 17*g**3 + 14*g**2 - 22*g + 64. Give -4*p(x) - 11*q(x).\nAnswer: -2*x**3 - x**2 - 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 2*u + 2. Let z(t) = -t**2 + 51*t + 337. Let v be z(-6). Determine k(v).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -112 (base 3) to base 10.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (6\/1 - 2)*1152\/512. Suppose -8*g - 10 = -9*g. Solve -4*d - g = -4*x + 2, -2*d - x - p = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 667839?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0196177687 to six dps.\nAnswer: -0.019618","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 + -2. Calculate the greatest common divisor of 15 and w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -189783, -189798, -189813, -189828?\nAnswer: -189843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -2*g + g - 1 - 4*g. Let u be h(-2). Suppose 0 = c + 4*w - 6, -5*c + w + u = -0. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 divided by 12087560.\nAnswer: -7\/6043780","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*y - 8 = 5*r + 14*y + 36, 382*r + 5*y + 12 = 384*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -12\/8327 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**2 + t - 8. Is p(-10) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9742 to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -22 + 12. Let o = s + 9. Let r = 5.07 + -0.07. Sort 0.2, o, r in decreasing order.\nAnswer: r, 0.2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 145*n - 143. Let u be x(1). Let p = -8 - -11. Let q be (p + u)\/(3\/(-30)*-2). Solve 9*z - 4*z = q for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.9994 rounded to 0 decimal places?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 867\/(-578)*50\/(-3). Let m(a) = 5*a**2 + 2*a - 1. Suppose -3*d = -2*d - 3. Let z be m(d). What is the highest common divisor of x and z?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49 = -2*a - 43. Suppose 0 = -a*o + 2*o + 8. Suppose -o = 4*z, -2*g = -3*g - 2*z - 4. Solve -j - 4*j = g for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a - 5 + 5)*(3*a - a - a) + (a + 2 - 2)*(3 - 3 + 2*a).\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*s**3 - 240*s**2 + 468*s - 232.\nAnswer: 4*(s - 58)*(s - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-5)\/(-15))\/((-1)\/3). Let u(n) = -2*n - 4. Let b be u(-7). Let v be (1\/2)\/(15\/b). Which is greater: v or y?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -8, -54, -136, -254, -408, -598, -824?\n\"Answer: -18*l**2 + 8*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/3330 and -143\/33300?\nAnswer: 33300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**3 + 675*n**2 - 2653*n + 42813. Determine z(-679).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/24 in -0.8, 0.1, -0.3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -141 - -83. Let m be 794\/4 - j\/(-116). Calculate the highest common factor of 264 and m.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 24 by 6860434.\nAnswer: 12\/3430217","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*o - o + 2*o.\nAnswer: -14*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (110\/(-66))\/((-1)\/1434). Suppose -h + 793 = -4*w, 0*h - a = -3*h + w. What are the prime factors of h?\nAnswer: 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**(1\/4))\/r**(1\/4))**(18\/7)\/((r\/(r\/(r**(-6)\/r))*r)\/(r**1*r))**13 assuming r is positive.\nAnswer: r**(737\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b = 12*g + 32, -55 = -10*b + 23*b - 8*b + 4*g for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -11208194, -11208254, -11208314, -11208374?\n\"Answer: -60*p - 11208134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4.4 + 3.9. What is the closest to -4 in -1, j, -0.3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1853540 and 34520?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a milligram in micrograms?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1c1 (base 14) to base 12.\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 119 + -114. Let s be 14\/n + (-252)\/(-35) + -7. Solve 2*c = s*c + 4 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 583169 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 24, 0.1, 1, 37?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9 is divided by (-3)\/((5 + -4)\/(-1)).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-204948)\/(-1476) + -34 + -105.\nAnswer: -6\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 7*d + 2. Let c(f) = 6*f + 2. Determine -6*c(n) + 5*p(n).\nAnswer: -n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 31? (a) 0.4 (b) 1\/2203 (c) -1\/4 (d) -0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yaiiiaiaaayaiaaai. What is prob of picking 2 y and 1 i?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -54*u**5\/5 + 12*u**4 + 2*u**3\/5 - 8*u**2\/5 = 0?\nAnswer: -1\/3, 0, 4\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m - 5*m = -2*c + 721, 3*c + 5*m - 1085 = 0. Let i = 402 - c. Calculate the lowest common multiple of i and 42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4310 (base 5) to base 6\nAnswer: 2404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 45348 + 2004. List the prime factors of z.\nAnswer: 2, 3, 1973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8 + 10. Suppose 41 = 3*w - c*w - 3*d, 4*d = 3*w - 138. 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: Let i(n) = n**2 - 8*n + 5. Let j be i(8). Let x(l) = -l**3 + 6*l**2 + 3*l - 5. What is the units digit of x(j)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/72*3)\/((-40)\/32)?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88*s + 23748 = -85*s. List the prime factors of s.\nAnswer: 2, 1979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.0846 - 0.2654. Which is the closest to -0.3? (a) u (b) -5 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -857367773*w**3 + 2*w**2 + 1023879*w - 62 wrt w.\nAnswer: -5144206638","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 480701 a multiple of 103?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 8 = j. Suppose m - j = 2. Suppose 5*r = -5*b + 60, m*r = 8*b - 4*b + 48. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -38 + 8 - (276 + -284).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4694461, -9388921, -14083381, -18777841, -23472301, -28166761?\nAnswer: -32861221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -3335 * -1\nAnswer: 3335","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0230566 centuries to millennia.\nAnswer: 0.00230566","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**3 - 16*n**2 + 18*n - 9. What is the remainder when 107 is divided by p(15)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*f - 3*f = -90. Calculate the remainder when 211 is divided by (444\/f + 2)\/((-4)\/6).\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 3*y - 19 = -7*y, 0 = -4*w + 3*y + 9. Suppose -4*h - l + 11 = 0, 2*l + 0*l = -w*h + 2. Calculate the highest common factor of h and 44.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 154 and 726?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 17 - 66. Let j = a + 32. Let p = j - -26. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 207079840 and 440.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2641?\nAnswer: 19, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3731692 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = -2*i + 7*i. Let q = 90 - 87. Suppose q*x + 24 = 78. Calculate the smallest common multiple of i and x.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the first derivative of -9*l**2\/2 + 210*l - 10498. Determine w(23).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1157220 is divided by 96423.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-140)\/(-84) + (-578)\/3. What is the units digit of ((-24)\/6 - -6)\/((-2)\/y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28877 is divided by 28672?\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 0, -3, 3289 in ascending order.\nAnswer: -7, -3, 0, 3289","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -277 + 282. Solve 5 = 5*a - n*m, 4*a + 5*m - 4 = -0*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 192 and 96.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (124*x**2 - 234*x**2 + 123*x**2)*(0*x - 2*x + 0*x + (7*x - 2*x - 3*x)*(-2 + 1 - 1) + 5*x - 3*x - 3*x - 2 + 2 + x).\nAnswer: -78*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -191, -823, -1453, -2081, -2707, -3331?\n\"Answer: i**2 - 635*i + 443","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 39, 51, 77, 123, 195?\nAnswer: 299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*a + 99211 - 100476 = 0 for a.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 170 - 176 = 0. Let x(b) be the first derivative of -2\/7*b**n - 1\/14*b**4 - 2\/7*b**2 + 0*b - 50. Factor x(l).\nAnswer: -2*l*(l + 1)*(l + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, 1\/4, 5, -64\/5, -0.2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -6984651*f**2 - f + 1. Let c be h(1). Let a = c - -1784651. What is a rounded to the nearest 1000000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(192) + -2*sqrt(192))*-4)\/(sqrt(72) - 2*sqrt(72)))\/(-4*-2*sqrt(8)*5 + (sqrt(32)*3 - -1*sqrt(72))).\nAnswer: -4*sqrt(3)\/147","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -r + 6. Solve 2*c = 2*p + c + 2, 0 = r*p + c + 8 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q - 3. Let l be z(5). Suppose -l*k + 24 = 4*v, -4*v + 35 = 4*k + 7. Solve 0 - 4 = k*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12516 + -12512.0916. Let k = 3.9 - q. What is k rounded to three dps?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1488.992149 - 2262.991836. Let r = 774 + w. What is r rounded to five dps?\nAnswer: 0.00031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = r + 5, 3*r + 4 = -2. Solve -16 = u*i - 1 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/2019 and 65\/1215438.\nAnswer: 1215438","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 784 = -1880*t + 1684*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b + 4*b - 255. Suppose -4*a + 12 = -2*a + 3*i, -5*a + 3*i + b = 0. What is the greatest common divisor of a and 36?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3.09 + -2.76. Let s = 2435\/7 - 348. What is the third smallest value in v, s, 0?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 93110537.\nAnswer: 13, 37, 193577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 137413, 139986, 142559, 145132?\n\"Answer: 2573*h + 134840","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 275*p. Let r(u) = 145*u + 17. Calculate r(g(t)).\nAnswer: 39875*t + 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70*a + 66*a + 76 = 0. Calculate the remainder when a is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 3*q = -2*v + 8, -3*v - 22 = -4*q. Suppose 0 = -3*u + 12, 4*r + 2 = q*u + 10. Is (-4)\/r - (3 + 1304\/(-3)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a + 1. Let y(d) = 15*d - 38. Let k(q) = -y(q) - 3*z(q). Let p be k(-7). Suppose m - 2*l - 3*l = p, -2*l = 2*m - 238. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - 5908666948872\nAnswer: -5908666948873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**2 - 11*c - 19. Is f(20) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 73660406*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/472 or 1?\nAnswer: -1\/472","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 w, 1 t, and 1 u when four letters picked without replacement from ueteweeeeeeeeqe.\nAnswer: 11\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 74 (base 9) in base 7?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q when three letters picked without replacement from {q: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7.2 + -4.6. Let r = x - 3. Which is the second biggest value? (a) -4 (b) 3\/7 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -77761 divided by 1149\nAnswer: -77761\/1149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/5, -7, 0.5, 6\/115?\nAnswer: 6\/115","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 174 a factor of 3624?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (20 + 1 + 5 + 7)*(0*u - 2*u + 5*u) as q*u + s and give q.\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.045903799 to 3 decimal places.\nAnswer: -0.046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(-9) + ((-56)\/(-9) - -2). Solve 0*j - b = 2*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*m**3\/7 + 801*m**2\/7 + 10939*m\/7 - 11745\/7.\nAnswer: (m - 1)*(m + 145)*(5*m + 81)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6971.\nAnswer: 6971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-12)\/(-30))\/((-519)\/15 + 2). Is f < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -159169\/17 + 9363. Factor -2\/17*i**3 + 0 + 0*i**2 + n*i.\nAnswer: -2*i*(i - 1)*(i + 1)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -567815 + 2094015. What is n rounded to the nearest 10000?\nAnswer: 1530000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 263 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 216*f + 3*f**3 - 169 - 294 - 45*f**2 + 139.\nAnswer: 3*(f - 6)**2*(f - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 353093*y + 706154. What is q(-2)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -12565, -22791, -33015, -43237?\n\"Answer: j**2 - 10229*j - 2337","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 17*n**2 - 38*n - 97. Let f(s) = 18*s - 7. Calculate f(g(i)).\nAnswer: 306*i**2 - 684*i - 1753","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/19 smaller than -70382?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 623628 - 623626. Solve 22\/5*w**3 + 16\/5 + 2\/5*w**4 + 54\/5*w**q + 10*w = 0 for w.\nAnswer: -8, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10*w + 11*w + 9*w**4 - 10*w**3 + 43*w**2 - w + 14*w**2 wrt w?\nAnswer: 216*w - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = x. Suppose -4*c = 2*h - 20, -c + x*h = 3*h - 10. Suppose -23 = -5*n + 17. Calculate the lowest common multiple of c and n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (46\/(-8))\/(2\/(-8)). Let b = n - 31. What is the units digit of (-8)\/(-2) + b - -46?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-32 - 5) + (-50 + 21 - -60).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13*c**3*f**2 - 547*c**2*f**3 - 5*c*f**3 + 15225*c*f wrt c.\nAnswer: -78*c*f**2 - 1094*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -108177*b + 432725. Determine y(4).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the second derivative of -18*o + 0 - 1\/3*o**3 + o**2. Let a(z) = -3*z + 3. Calculate -3*a(m) + 4*t(m).\nAnswer: m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k + 2*k - 6*k)*(-1 + 4 + 8)*(-k + 4*k - 5*k).\nAnswer: 66*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-102)\/85)\/(1*(-2)\/5).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*l**2 + 92435*l - 3798240.\nAnswer: 5*(l - 41)*(l + 18528)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 50 = -3*z, 5*z + 0*k = -3*k + 90. Let t = 62 - 52. Calculate the least common multiple of z and t.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 4, e: 4, n: 2}. What is prob of picking 2 b?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccpu when four letters picked without replacement from {c: 2, p: 2, z: 1, u: 1}.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/18*(-17)\/(2431\/(-78))\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**2 - 10*t - 191. Let u be n(20). Solve -2 = 11*l + u for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**3 + 5*v**2 - 3. Let z be w(-5). Let b be (0\/7)\/(z + 1). Suppose o + 4*o = b. Solve o = 2*n - 0*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -204 = -2*o - g - 767, -4*g - 264 = o. Is -284 < o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -7*h + 4 + 0*h**2 + 3*h + h**2 - 2*h. What is i(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 128, 1219, 147 in descending order.\nAnswer: 1219, 147, 128","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 95277121?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -175*s**3 + s**2 - 7*s - 9. Let x be (10 - 8)*(0 + -1). Is y(x) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.84*-0.0930768\nAnswer: -0.078184512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f**3 - 1271235*f**2 - 2542458*f = 0.\nAnswer: -423743, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 20520.0005 - 0.06?\nAnswer: 20519.9405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -j**2*t**3 - 3*j**2 - 5*j*t**2 - 26*t**3 + 5*t wrt j.\nAnswer: -2*j*t**3 - 6*j - 5*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eoverfrvee. Give prob of sequence or.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53063 is divided by 2035?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -458\/99 + 46\/11. Let b = -0.4 + 0.8. What is the second biggest value in i, b, -3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1124231.\nAnswer: 101, 11131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -r**2 + 32*r**2 + 47*r**2.\nAnswer: 78*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.04 - -0.36. Let i = -10.7 - -10.5. What is the third smallest value in h, i, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1429209157 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2030069 to the power of 1\/3, to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the second derivative of v**3\/6 - v**2\/2 - v. Let s(q) = -1. Let n(f) = -h(f) - s(f). List the prime factors of n(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l. Let n(c) = -122*c**2 + 1 + 61*c**2 + 60*c**2. Calculate w(n(a)).\nAnswer: a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2665104 - 0?\nAnswer: -2665104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 27 + -13. Let m(o) = -3*o + y*o - 10*o + o**3 + 9 + o**2. Give m(0).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the second derivative of y**3\/3 + 4*y**2 - y. Let x be n(5). Let p be (-1288)\/(-126) - 4\/x. Solve 0 = -3*v + p - 4 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 5*u - 4*o, -5*u = o + 1 - 44. Suppose -3*k + u = -7*k. Let x(a) = -a**3 - 3*a**2 - 3*a. Let y be x(k). Solve 4*r - y = 3*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 + 135?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 4 = b, 0 = -4*h - 0*b - 2*b - 6 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 a when four letters picked without replacement from {y: 1, b: 8, a: 8}.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -109*g + 335*g - 118*g - 110*g. Let u(a) = 983*a. Give d(u(z)).\nAnswer: -1966*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/(-153)*((-24)\/(-10))\/((-96)\/120)?\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.025 - 40.025. Let y = -40.000106 - t. What is y rounded to 4 dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the third derivative of 1\/168*n**8 + 0*n + 0*n**5 + 3*n**2 + 0*n**3 + 0*n**4 - 1\/60*n**6 + 0*n**7 + 0. Factor l(g).\nAnswer: 2*g**3*(g - 1)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 2*p. Suppose -2*f + 1 - 3 = p. List the prime factors of (2\/4)\/(f\/(-22)).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.01 + -1.01. What is the third smallest value in 5, j, -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*p = 22*p. Suppose 0 = 4*a + 5*l - 731, p*a + 5*l = a - 189. What is the hundreds digit of ((-11)\/(110\/a))\/((-2)\/15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13899207?\nAnswer: 3, 7, 29, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.03996 + -1.96004. Let j = -0.11 + 5.11. What is the second biggest value in 4, 0.5, d, j?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 23*v - 35*v + 12 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -58\/15 and -11\/28506.\nAnswer: 142530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3962 and 5377.\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-16)\/(-12) + 284\/(-6). Let v = a - -53. Factor 4 - v*i - 30*i**2 + 50*i**2 - 5*i**3 + 6 - 18*i.\nAnswer: -5*(i - 2)*(i - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the first derivative of 5*w**6\/2 + 51*w**5\/5 + 33*w**4\/4 - 13*w**3 - 24*w**2 - 12*w - 104. Find q, given that x(q) = 0.\nAnswer: -2, -1, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + (13 - (2 + -20)) + 8 + 0.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7758 by -3.\nAnswer: -2586","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4016?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 5*x**2 - 4*x - 3. Let r be w(-1). List the prime factors of r + 0 + (10 - -231).\nAnswer: 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 520 and 2282059.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*(h\/h**(-6\/7))\/h*h)**(-38)*((h**(-5\/13)\/h)\/h)\/h**(2\/15))**(-21) assuming h is positive.\nAnswer: h**(151637\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s - 1 + 10. Suppose -4*q + s + 54 = -3*t, 3*t = -3*q + 42. Suppose 0 = -a - u - 3*u + q, -5*a + 4*u + 3 = 0. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8133559ml in litres?\nAnswer: 0.0008133559","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 13*u + 239. Let a(x) = 27*x + 480. Let q(r) = 2*a(r) - 5*y(r). Let n be q(-35). Which is greater: 151 or n?\nAnswer: 151","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -85 + 133. Let j = q - 27. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 605*g**2 - 3520*g + 5120.\nAnswer: 5*(11*g - 32)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rwewwhmwe. Give prob of sequence merh.\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 79 + 26. Let y = m + -67. What are the prime factors of y?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2471 + 4?\nAnswer: 2475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2544705?\nAnswer: 3, 5, 193, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 - -1001101001?\nAnswer: 1001101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the first derivative of -3*p**7\/7 - 3*p**4\/4 - 74*p**3\/3 - p**2\/2 + 115. What is the third derivative of g(s) wrt s?\nAnswer: -360*s**3 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 90097*z + 2 + 90095*z.\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(20)\/(2*sqrt(10))*2.\nAnswer: -1 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pn when two letters picked without replacement from {p: 3, g: 10, n: 3, x: 1, o: 2}?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -14, -3, 2 in decreasing order.\nAnswer: 11, 2, -3, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r - u + 4*u + 19, 30 = 2*r - 4*u. Suppose 380 = r*o - 2*o. What is the highest common factor of 19 and o?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (16\/(-4))\/((-28)\/2). Let s = 14177\/273 - 20\/273. Let z = -52 + s. Which is bigger: y or z?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.31 - -0.91. Is l equal to 2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**3 + 5*i**2 + 8*i - 9. Let x be k(6). Let u(q) = -2*q**2 + 20*q - 10. Let a be u(9). Suppose -x*l = l + a. Put l, 0, 1 in ascending order.\nAnswer: l, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14008 is divided by 131.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 265 = -0*m + 3*n, 3*n = -4*m + 503. Suppose 3*d = 116 - m. Let q = 2 + -1. Which is the nearest to 1? (a) d (b) 5\/4 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = 5*z - c - 5, -3*c + 1 = z. Solve 2*v = 5 + z for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -i**2\/2 + 24*i + 49\/2 = 0.\nAnswer: -1, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**2 - 16*p + 25. Let w be r(-17). Let s(u) = -4*u**3 + 5*u**3 + u + u - 3*u**2 - 5*u**2 + 13. What is the units digit of s(w)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.020862497 rounded to 4 decimal places?\nAnswer: -0.0209","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**3 + 36*p**2 - 13*p - 2944. What is h(33)?\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 138268512.\nAnswer: 2, 3, 160033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -130232041 (base 6) in base 4?\nAnswer: -21223330321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 7\/8 of a gram?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 73707 divided by -1.\nAnswer: -73707","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2 - -7)*1*-9. Let d = -39 - r. Solve -d*l - 2*l - 2 + 5*l - l**2 = 0 for l.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 825*f + 467*f + 975*f + 122*f in the form a*f + w and give a.\nAnswer: 2389","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11817 and 549036?\nAnswer: 7137468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2931493 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2 + 16\/9 - (-20)\/9. Solve 5*r - 11 = -3*t, 3*t - 3*r + 13 = -c*r for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6124.7109 to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and 40557?\nAnswer: 81114","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-14)\/77 - 40\/22. Let c be s\/(2 + (-16)\/7). Solve 5*x - 4*j = 31, -2*j + 26 = 2*x - c*j for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 191992 and 23999.\nAnswer: 191992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 790 and 5026217?\nAnswer: 50262170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 - 7. Let p be 1\/(5\/(-2) - 0). Do p and n have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -17.598 and -4?\nAnswer: 70.392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24 + 225 - 147 + 6 + 9*h**2 - 108.\nAnswer: 9*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/(-33) - 6*329001\/(-66) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.2 - 0.7. Let b(o) = o - 6. Let y be b(10). Suppose -c - y*c = 0. Sort 2\/23, n, c in ascending order.\nAnswer: n, c, 2\/23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 245870, 983061, 2211712, 3931823?\n\"Answer: 245730*v**2 + v + 139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*l + 33*l = 438. Suppose -130 = 2*q + 6. Let f = l - q. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*1\/((6 - 2)\/4)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 3*x + 192 = 0. Suppose 4*d = 4*h + x, -d - 3*h - 12 = -0*d. What is c in -1\/2*c + 0*c**4 + 0 + c**d + 0*c**2 - 1\/2*c**5 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -494*t**3 - 566*t**3 - 458*t**3.\nAnswer: -1518*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*b - b - 5*b)*(-4*b + 15*b + 7*b) + 0 - 2*b**2 + 0 to n*b**2 + p + l*b and give n.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1617 and 97482?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (48 - (-8 + 3)) + (12 - ((27 - 11) + 6))?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the third derivative of -2*g**5\/5 - 9*g**4\/8 - g**3\/2 - 27*g**2. Factor d(h).\nAnswer: -3*(h + 1)*(8*h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -4*m + 7. Let r be t(5). Let j(y) = y**2 + 8*y - 2. Let c be j(-7). Let w = c - r. Solve w*h + 5*u + 43 = 13, 5*u + 5 = h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 1007 = u + t, 0 = 2*u + 2*t - 666. Suppose s + 63 = -u. What is s rounded to the nearest 100?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1355762.\nAnswer: 2, 47, 14423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 89*h - 83. What is the remainder when 222 is divided by g(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28 + 28 + 255*y.\nAnswer: 255*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1323200 rounded to the nearest 100000?\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 + 4 + 6)*(-1011*j**2 + 1011*j**2 + 57*j**5).\nAnswer: 969*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**3 - 9*i**2 + 23*i + 4. Calculate the remainder when 56\/(-3)*(-18)\/12 is divided by f(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9929820, -19859642, -29789464, -39719286, -49649108, -59578930?\nAnswer: -69508752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 3*f = 6. Calculate the lowest common multiple of f and 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 361 + -362. Sort 1, p, 16 in decreasing order.\nAnswer: 16, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -87347\/40 - -2184. Find the common denominator of n and 111\/14.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-2\/15)\/t*t)\/((t**(-1\/3)*t)\/t))**(-5) assuming t is positive.\nAnswer: 1\/t","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t - 3*d + 12, 3*t - 3*d = 5*t - 21. Differentiate -v**2 + v**2 - v**t - 2 + 0*v**3 wrt v.\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 196?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -2 - 3 - (2 - 4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + 1 = -t - 5, 0 = -6*f + 2*t - 4 - 16 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 10 = -3*q, -3*q = -4*q - 2*j - 10. Let b be 238\/6 - 2*2\/6. Suppose q = -4*r + 205 + b. Does 7 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes after 1:00 AM?\nAnswer: 10:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 + 24\/(-15))\/((-6)\/15). Suppose -10*q - h - 25 = -13*q, 4*h + 44 = g*q. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -76, 17, 311, -21 in descending order.\nAnswer: 311, 17, -21, -76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 29*h**2 + 0*h**2 - 7*h**2 + 2*h**3 in the form j + k*h**3 + w*h**2 + f*h and give w.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let 25*l**5 + 69670*l**4 - 1277260*l**3 - 2761210*l**2 + 4810275*l - 841500 = 0. Calculate l.\nAnswer: -2805, -3, 1\/5, 1, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -64\/235 and 816\/(-1088) - 626\/120.\nAnswer: 1410","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qlqlbbbblqqq. Give prob of sequence lq.\nAnswer: 5\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 306756953 to the nearest integer?\nAnswer: 17514","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 1 d when three letters picked without replacement from {j: 4, d: 3}?\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 - (-5 - -6))*(-2 - 1). Sort 9, 1, -2, h.\nAnswer: -2, 1, h, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7070 a multiple of 101?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -149*p*s + 219*s with respect to p.\nAnswer: -149*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.037 and -316050809.\nAnswer: -316050809.037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5900 + 1 + -4 - -3. Round j to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -51556512 divided by -1.\nAnswer: 51556512","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -5027657 * -2\nAnswer: 10055314","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 548\/2*2\/4. Suppose -53 = 3*h - w. Suppose 28 = 4*t - h. What is the highest common divisor of 28 and t?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 6812 and -1.9?\nAnswer: -12942.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**3 - 7*x**2 - 6*x + 1. Let a be r(-6). Suppose s - 1 = -0. Suppose -2*y = -3*y + s. Is a >= y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1611408793 to the nearest integer?\nAnswer: 40142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 11\/((-60)\/63 - -1). Find the common denominator of -1 + (-1 - j\/(-9)) and (-296)\/10 + (-4)\/10.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*u**6 + 28*u**5 - 7*u**3 - 8*u**2 - 644 wrt u.\nAnswer: 720*u**3 + 1680*u**2 - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2754747696?\nAnswer: 2, 3, 79, 726463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3057455 (base 8) to base 4.\nAnswer: 3011330231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1538, 5767, 12696, 22325, 34654?\n\"Answer: 1350*s**2 + 179*s + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 827843496 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 2*u. Let i(j) = -12*j**2 + 27*j + 27. Let z(q) = -q**2 + 2*q + 2. Let f(x) = 2*i(x) - 27*z(x). What is n(f(g))?\nAnswer: 6*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**3 - 7*u**2 + 9*u + 12. Let z(y) = 8*y**3 + y**2 - 1. Let b be z(-1). Let p be t(b). Solve -d + 10 = -2*o + 5*o, 5*o - p*d = 45 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*c - 4*o = 28*c - 8436, 3*c = 4*o + 6362. Is 8 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 366 and 83631.\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 5 + 7 - 11. Suppose -2*o = k + 5 + 18, -2*o - 3*k = 25. Let p(i) = -16*i - 2. Let s(c) = -29*c - 4. Let l(t) = o*p(t) + 6*s(t). Give l(x) + 2*n(x).\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*h**4 + 55*h - 55*h + (0*h**2 - h**2 - h**2)*(-h**2 - 2*h**2 + 5*h**2) + (3*h - 2*h**3 - 3*h)*(-6 - 4*h + 6) + h**4 - 3*h**4 + 4*h**4.\nAnswer: 16*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*p - 1384 + 2*p + 1395 - 5*p - 3*p.\nAnswer: -13*p + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 7 (b) 2 (c) -175 (d) 0.24\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (-6)\/(-9) - -2.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -5*k. Let f(r) = 3*r + 4. Let v(z) = -8*z - 11. Let l(s) = 11*f(s) + 4*v(s). Determine b(l(a)).\nAnswer: -5*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (5\/240*-18*(-4)\/45)\/(5\/45)\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1763*d - 925 = 1578*d. Let z be (-6)\/1*3\/(-1). Let k be 40\/z + 2\/(-9). Solve -f - d = t - k, 2*t - 2 = 2*f for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -3*a + 16, 2*r - 8 + 6 = 0. Solve 0*t = a*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 782.0847 years to centuries.\nAnswer: 7.820847","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1095384 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the third derivative of -w**5\/120 + w**4\/2 + 7*w**3\/6 + 2*w**2. Let o(m) be the first derivative of v(m). What is o(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/36 and -15\/428.\nAnswer: 3852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 0 + 2 = 0. Let i be (6\/3 - 2)\/s. Solve 1 = -v, i*v = 2*o + 5*v + 3 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -21*j + 0*j**3 - 5*j**4 + 27*j - 178 + 183 - 11*j + 3*j**3 in the form f*j**3 + h*j + a + d*j**2 + i*j**4 and give h.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 161391?\nAnswer: 3, 23, 2339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -539*g**4\/6 + 52164*g**3 - 211135*g**2\/6 + 1447*g + 1740 = 0.\nAnswer: -2\/11, 3\/7, 580","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-485)\/(-5)*(-2)\/6. Let y = k - -32. Let w = -287\/15 + 55\/3. Put y, w, 1 in descending order.\nAnswer: 1, y, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 + 9. List the prime factors of (-9)\/(6*k\/(-4)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 37 (b) 1\/3 (c) -10 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -2*n**2. Suppose -2*t - 2*d = 6, 2*d = -3*t + 7*t + 36. Let u(k) = 219*k - 5. Let c(y) = 328*y - 7. Let q(p) = t*u(p) + 5*c(p). What is q(s(a))?\nAnswer: -214*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:36 PM and 2:35 PM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2 + ((-78)\/39)\/(4\/(-6)). Is 72\/31 < p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from xxxxxxx.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the first derivative of 5*y**4\/2 + 65*y**3 + 45*y**2 - 95*y - 223. Factor s(j).\nAnswer: 5*(j + 1)*(j + 19)*(2*j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 418, 4581, 8744, 12907, 17070, 21233?\n\"Answer: 4163*l - 3745","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 + 15 - (0 + 2)) + -2 - -4.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 30886 + -30877. Solve -c*d + 8*d = -3*y + 19, -3*y = -15 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -13, -44, -87, -148, -233?\n\"Answer: -z**3 - 24*z + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-42*s**4 - 1274*s**3 + 1274*s**3)*(-1 - s + 0*s + 3).\nAnswer: 42*s**5 - 84*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5904020 is divided by 61?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -11771 times 0.4?\nAnswer: -4708.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -t + 3*q, 2*t - 2 = -3*q - 1. Differentiate 1 - 16*d**2 + 16*d**t + 6*d**3 wrt d.\nAnswer: 18*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.92 to the nearest integer.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (27*l + 0*l + 2*l)*(-2 + 0 + 4) in the form n + s*l and give s.\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 14763, 14773, 14783, 14793, 14803, 14813?\n\"Answer: 10*v + 14753","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add 124021 and 17.\nAnswer: 124038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13 + -10. Let m(y) = -4*y + 1. Let i = 4 + -2. Suppose 3*d + 4*h - 5 = 0, 6*h - 3*h - 8 = i*d. Let o(n) = -n + 1. Give d*m(p) + x*o(p).\nAnswer: p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 191*a**2 - 376*a**2 - 252*a + 220*a**2 - 3*a**3 + 5*a**3.\nAnswer: 2*a**3 + 35*a**2 - 252*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.17 + -4712445.\nAnswer: -4712445.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < -9\/476?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*g + 41 - 2 = 0. Suppose 27*y = -g*y + 60. Solve m = 4*i - y, 5 = 5*m - 2*i - 3 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/(4\/(-16)) + -4. Suppose g = 5*u + 9*u - 3892. What is the hundreds digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 24\/18*(-9)\/(-6). Suppose 149 + 27 = v*m. Is 14 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45969335 to the power of 1\/3, to the nearest integer?\nAnswer: 358","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0 and -183583131183941.\nAnswer: -183583131183941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -3*i - 11, 1 = -5*i - 14. Suppose -2*o = q - 14 + x, -39 = -3*q - o. What is the greatest common divisor of 13 and q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z - 39 = -7*z. Calculate the remainder when 12 is divided by z.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 54 + -22. Suppose 3*x - 32 = 5*y + z, -5*x + 94 = -2*y. Let o be 3876\/(-7956) - (90\/(-78) + 1). Are x and o equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000222589 to six dps.\nAnswer: 0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**2 - 13*o - 12. Let g be j(-8). Suppose 4*m = 5*k - g, 0 = -4*k + 5*k + 5*m + 6. Is 3 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**3 + 4*o**2 + 2*o - 5. Suppose 3*u - 2*z - 19 = 0, u - 17 + 4 = 4*z. Suppose u*h - 1 - 5 = -4*s, h = -2*s + 6. What is the units digit of g(s)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/24*30)\/(-5)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o - 14. Give n(6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 668 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 4, 30, 0.3, 62, 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1699433032?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(-720)*10\/4*4.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/7, -2, -0.1, 6\/11 in descending order.\nAnswer: 6\/11, -0.1, -4\/7, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11.97 - 0.03. Let c = 278.9984 - 291. Let y = c - n. Round y to 4 decimal places.\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1 (b) 39 (c) -0.06 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 125377137?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17970 - 6730. What are the prime factors of j?\nAnswer: 2, 5, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.6 (b) 3 (c) 3\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 15874488 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r + 4*r - 2*r)*(2*r**4 - 2*r**4 - 5*r**4) + r**5 + 0*r**5 + r**5 - 4*r**2 + 2*r**5 + 4*r**2 - 3*r**2.\nAnswer: -6*r**5 - 3*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 368186307?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 31877 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 29 + -14. Suppose -3*f - 103 = 83. Let w = f + c. Calculate the common denominator of -1\/10 and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 41511?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 117*p**2 - 244*p**2 + 124*p**2 + 4*p**3.\nAnswer: 4*p**3 - 3*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -3*b + 278, -2*v + 2*b - 224 = -6*v. Suppose -v = 4*k + 14. Does 3 divide 2\/(-9) + (-130)\/k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from annaana?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 232730004.\nAnswer: 2, 3, 13, 1491859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3.6 + -3.55. Let j = -0.35 - w. Let t = -14.5 + 14. Which is the nearest to 0.1? (a) 2\/3 (b) j (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t**4 - 55*t**3 - 60*t**2 = 0. Calculate t.\nAnswer: -1, 0, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 156 or 155?\nAnswer: 155","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3329353 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 140795?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the third derivative of -m**6\/60 + m**5\/10 + 3*m**4\/4 + 5*m**3\/3 - 35*m**2. Factor c(y).\nAnswer: -2*(y - 5)*(y + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 2*h**2 + 3*h - 1. Let g be u(3). Let v = g - 48. Let o(c) = -12*c + 2. Let b be o(2). Are v and b equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(8\/3)\/o)\/o**(5\/3) assuming o is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.04 + -0.36. Let n = -0.3 - k. Is n != 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5173 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -391*r**2 + 2. Let l(h) = 9*h**2. Determine y(l(d)).\nAnswer: -31671*d**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*a + 5*a + a)*(-2*a - 2*a + 5*a)*(8 + 5*a - 8) as b*a**3 + o*a + s*a**2 + q and give b.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*u - 14*u + 43*u - 14*u.\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 37 + 23147?\nAnswer: 23185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*b + 21*b - 8*b)*(-5 + 1 + 2)*(3 - 2 - 3)*(-3*b**4 - 2*b**4 + 4*b**4).\nAnswer: -68*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1371555?\nAnswer: 3, 5, 29, 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3.2, -3, 541, -0.1 in increasing order.\nAnswer: -3.2, -3, -0.1, 541","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 32 - -111?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 + (11 - (16 + 1 - 10)).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 36 + -3 - (185 - 179)\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 58444, 116886, 175330, 233776?\n\"Answer: w**2 + 58439*w + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1\/14 - 185\/56. Is -4 > n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 21*z - 11. Let w(b) = -22*b + 12. Let d(j) = 2*f(j) + 3*w(j). Let i = -925 - -920. What is the tens digit of d(i)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 72\/5*(168 + (13 - 16)).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 88*o**2 - 121.\nAnswer: 176*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, b: 4}. What is prob of picking 2 b?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1233937*m - 11584 = 1233756*m for m.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wowioooiwooww. What is prob of sequence ooio?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o**2\/6 + 9*o\/2 = 0. Calculate o.\nAnswer: 0, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d**2 + d**2 - d**3)*(0 + 2 + 0)*(2*d - 6*d + 0*d).\nAnswer: 8*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -3*d + 4. Let p be 2\/5 + 128\/(-20). Let q(o) = -4*o + 5. Let f(h) = p*r(h) + 5*q(h). Let l be (-48)\/(-22) - (-32)\/(-176). What is f(l)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -14 - -16. Suppose v + 14 = 3*i - 0, -3*i = h*v + 1. Let n(f) = f + 7. Let k be n(v). Which is the third biggest value? (a) -2 (b) 0.4 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and 173.1?\nAnswer: 692.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**2 + 3*j + 10. Let n be m(-6). Suppose -4*o + 7*h + n = 3*h, -3*o + 5*h + 31 = 0. Solve 2*k - 13 = 3*w, -o*k + 20 = -5*w + 1 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 30 + 0 = 0. Solve -2*m - 9 = r, 0 = m - f*m - 5*r - 35 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -391 = 8*d - 1351. Calculate the remainder when 135 is divided by d.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 57 = 3*p - p, -4*p + v = -159. Suppose 0 = -36*j + p*j - 1260. Suppose j = 8*f + 4*f. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8? (a) -3\/4 (b) 8 (c) 0.2 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 5*s + 40486 = 0, 4*s = -3*f + 51937 - 21619. What is the thousands digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -702, -695, -684, -669, -650, -627, -600?\n\"Answer: 2*x**2 + x - 705","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -351 - -357. Solve -d*w - 22 = 2 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 2*h**2 + 8*h + 14. Is 16 a factor of l(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v - 9. Let q be f(-3). Suppose 3*g = -g - 20. Sort -4, q, g in descending order.\nAnswer: -4, g, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 divided by -12205.\nAnswer: -12\/12205","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 10*q**2 - 3*q - 2. Is 18 a factor of c(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.324742 times -1.2\nAnswer: 2.7896904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 144 is divided by 74?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - (-5 - -4)) + -2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/26 and 25\/49260772?\nAnswer: 640390036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 + 6. Suppose 152 = -2*t + g*t - x, -5*t + 3*x = -252. List the prime factors of t.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 n when four letters picked without replacement from {b: 4, u: 6, d: 2, r: 1, s: 2, n: 4}.\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -2*p - 2. Let z be g(0). Let h(i) = -i**2 - 4*i - 2. Let v be h(z). What is the first derivative of 2 + 8*x**2 - 19 + 2*x**v - 8*x**2 wrt x?\nAnswer: 4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - 4 - 20*a to the form z + u*a and give u.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -172.9558 + 173. Round r to two decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 696 + -697. What is the hundreds digit of 839 - (4 + (0 - -3) + l)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*q - 24 = 35*q. Sort -5, q, 5 in decreasing order.\nAnswer: q, 5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 2*i + 5. Let a be o(-5). Let v = a - -10. Let r(s) = -4 + s - 1 - 2. Let p(n) = 1. What is v*p(j) + r(j)?\nAnswer: j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -18724.9 - -18723. Suppose w - 3*f = 9, -12 = -4*w - 0*w + 4*f. What is the closest to 1 in -1, w, b?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q = 3976 + 2436. What is the hundreds digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 bigger than -0.20709?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/8)\/(2\/2) + -1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -13, -4, 21.2, 0, -2?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -14*g + 65. Let o be i(5). What is the nearest to 2\/11 in 0.3, o, -3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(3024))\/sqrt(3)*2)**2.\nAnswer: 36288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the third derivative of -5*o**4\/24 + o**3 - 2*o**2 + 53*o - 2. Let u(z) = -3*z - 1 + 0*z - 1. Let r be u(-2). Calculate s(r).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -114 - -115. What is the closest to c in -0.4, -5, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 5*t - 2209 = 0, g + 5*t - 456 - 307 = 0. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 3*f**2 + 4*f - 4. Let c(v) = 10*v**2 + 12*v - 12. Let p(d) = -2*c(d) + 7*s(d). Let x be 22\/(-4) + 3\/(-6). List the prime factors of p(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.5 (b) -2\/3 (c) -52 (d) 8 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7*t - 23*t + 17*t)*(t + t - 4*t) to c + y*t**2 + l*t and give y.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -2114 (base 6) in base 15?\nAnswer: -21d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 139*d + 1 - d**3 + 97*d - 296*d in the form n*d**2 + a*d**3 + l*d + t and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 - (-2 - 5)) + 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from rylylrll.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**2 - 7*p + 3. Let x be j(6). Let g = 26 + -26.5. Sort g, x, 1\/4 in decreasing order.\nAnswer: 1\/4, g, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(297)\/sqrt(144))\/(-4*sqrt(3)*-1).\nAnswer: sqrt(11)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 405695269 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 21339438 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 v be ((-35)\/(-2))\/7*-2. Let p be -1 - 14\/(-10) - 33\/v. Find the third derivative of 2 - 2*h**3 - 2 + p*h**2 - 12*h**3 wrt h.\nAnswer: -84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 34109, -0.02, -4, 0.8 in descending order.\nAnswer: 34109, 0.8, -0.02, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 255.07 rounded to the nearest 10?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 69434198?\nAnswer: 2, 367, 94597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*6\/(-18)*(-186)\/1116?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 73 divide 1825?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 67 - 64. What is the fourth biggest value in y, 78, 1, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3875954 divided by -4.\nAnswer: 1937977\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 247?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 235 - 229 + u**2 - 7*u**2 - 3*u**2 - u**2 + 5*u. Let g(w) = -w**2 + w + 1. Calculate -5*g(d) + j(d).\nAnswer: -5*d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the second derivative of -h**5\/20 - 5*h**4\/12 + 2*h**3\/3 + h**2\/2 + 81*h. Give q(-6).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-90)\/(-45))\/((3\/(-36))\/(1\/(-3)))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*-17266395.\nAnswer: -86331975","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -60? (a) -4\/17 (b) 0.02 (c) -4\/3 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fll when three letters picked without replacement from {f: 3, l: 9}.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00066978455 rounded to 6 decimal places?\nAnswer: 0.00067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -6*r - 1. Let q be t(2). Let k = -327 - -261. Let l = q - k. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (4 - (7 + -4))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 327 and 5251947?\nAnswer: 327","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -31, -2, 0.2, 2\/11?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.7*2589.\nAnswer: 1812.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 - 7 - 26)*(4*l - 2*l + 0*l)*(452*l + 2 + 13*l**3 - 452*l).\nAnswer: -1118*l**4 - 172*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -14656 - 16*h + 14656 + (1 - 1 - 2)*(0*h + 0*h - 2*h) in the form z + x*h and give x.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02753 rounded to three decimal places?\nAnswer: -0.028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 48151 and 10222?\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (36\/6)\/(15\/14)*2\/(-8)\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 644 = 2*x - 220. What is the smallest common multiple of x\/44 - (-6)\/33 and 5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -71*b**2. Let g(f) = 538*f. Calculate g(c(j)).\nAnswer: -38198*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -21146 - -21166.058. Let o = 22.69 - 2.69. Let a = o - y. What is a rounded to two decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c - 4*g - 5 - 1, 0 = 3*c + 4*g - 18. Is c less than or equal to 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88 a factor of 316434?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90 + 321 = 33*s for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.0975 - 3.2925. Which is the third biggest value? (a) u (b) 5 (c) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(560)*2)\/(sqrt(60)\/(sqrt(12) + 6*sqrt(24)\/sqrt(2) + sqrt(12))))**2.\nAnswer: 258048","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 110\/57 or -16.01?\nAnswer: 110\/57","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:47 AM and 11:10 AM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 + -9. Does 18 divide 50*(w + 1 + 2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 26 and 143?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -10*z + 8280. Does 9 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 7*i + 5. Let r(z) = 10*z + 7. Determine -5*r(p) + 8*x(p).\nAnswer: 6*p + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 2834*n**2 - 1347*n**2 + 2*n**4 - 1489*n**2 + 476*n**3 + ((-3 + 0 + 4)*(3*n - 3*n + 2*n) + 3 + n - 3 - 2*n + n + 0*n)*(-n**3 + 0*n**3 + 2*n**3).\nAnswer: 4*n**4 + 476*n**3 - 2*n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 13*x - 78. Let c be h(6). Let 0*d**3 + 2\/3*d + 4\/3*d**4 - 4\/3*d**2 + c - 2\/3*d**5 = 0. Calculate d.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2901 a factor of 11247405?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16269893?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 210\/63 + -4*1\/3. Let d(u) = -u**2 + 4*u**2 - 10*u**s. Let n(j) = j. Calculate n(d(t)).\nAnswer: -7*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**3 + 6*d**2 - 2*d - 13. Let i be l(-6). Let s(h) = 10*h**2 + 6*h. Let k be s(i). Let c = 18 - 18. Sort k, -4, 5, c in decreasing order.\nAnswer: 5, k, c, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2002233 (base 4) in base 12?\nAnswer: 4a13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16*-0.6.\nAnswer: -9.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2112.2 - -2053.124. Let r = -59 - b. What is r rounded to 2 decimal places?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 2*v = -36 - 20, 2*g - 5*v - 59 = 0. Solve -g*p + 29*p = 2 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6 + -3 - 8 - 29\/29. Is s + 9058 + 18\/6 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t - 5*t + 2*t)*(-2 - 1 - 1)*(-60 + 139 - 55).\nAnswer: 384*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 153 = 4*w + 3*b, -2*b = 4*w - w - 114. Suppose 4*q = 16, -2*y + w = 5*q + 6. Let f = -0.07 - 0.33. What is the second biggest value in f, -4\/5, y?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 34121 - 0?\nAnswer: 34121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -21275 to the nearest 1000.\nAnswer: -21000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 11*q - 8447 = -12*q, 3*p - 25333 = -5*q. What are the prime factors of p?\nAnswer: 3, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 169566 is divided by 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -81411, -81461, -81561, -81723, -81959, -82281?\nAnswer: -82701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1100 (base 3) in base 2?\nAnswer: 100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -309 - 20*k - k**2 + 309 to q + v*k**2 + b*k and give b.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**2 - 11*f + 1. Let g be u(10). Let h = g - -24. Solve -3 + h = 4*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -17042 (base 12) to base 13.\nAnswer: -11c75","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -26*q**3 + 2*q**2 - q + 1. What are the prime factors of j(-2)?\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = 2*q - 12. Let a = 420\/41 - 7129\/820. What is the common denominator of 4\/q - (-615)\/36 and a?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*a = -104*a - 684 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**3 - 6*n**2 - 4*n + 2. Suppose -1 = -2*s - 17. Let z be (-1 - 1)*28\/s. Calculate the remainder when 66 is divided by o(z).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 492, 984, 1474, 1962, 2448, 2932, 3414?\nAnswer: 3894","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 42\/11*154*(-5)\/(-70)\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99)*6)**2 + (4*(sqrt(11) + -2))**2.\nAnswer: -64*sqrt(11) + 3804","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9 - 17. Let k = 7.8 + x. What is the third smallest value in k, 4\/7, -1\/8?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 75\/4 of a micrometer?\nAnswer: 18750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**2 - 58*f + 75. Give j(-59).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -5*q**2 - 2*q + 2. Let b = 20 + 2. Let v(g) = 25*g**2 + 11*g - 11. Let w be 2 - 4\/(-6) - 20\/(-15). What is b*s(t) + w*v(t)?\nAnswer: -10*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 30 = 30. Let g(v) = v**2 - 2*v - 8. Let x be g(l). Suppose y - s = 3*s + x, -3*y + 444 = -3*s. Is 32 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s = -3*i + 6*s - 47 - 51 + 112, -6*i + 4*s + 8 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 171 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 1 b when three letters picked without replacement from iivbpbbvbpp.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 76*u + 1. Let y(c) = -77*c - 2. Let k(g) = -5*m(g) - 6*y(g). Is k(3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w - 101 = -6*w + d - 26, -2*d = -5*w + 75 for w.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let 14*u**4\/9 + 6382*u**3\/9 + 6038*u**2\/3 - 302*u = 0. What is u?\nAnswer: -453, -3, 0, 1\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes after 6:21 AM?\nAnswer: 6:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -983810, -983790, -983772, -983756?\nAnswer: -983742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8321599*q**3 + 46916574*q.\nAnswer: -49929594*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**2 - 1. Let c(w) = -4*w**2 - 7*w + 12. Let s(f) = -c(f) - 3*v(f). Determine s(-8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15*8\/150*((-28620)\/16)\/(-27).\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u - 26*u + 3*u)*(u - 1 + 1 + (4 - 2 - 4)*(-2*u - u + 5*u)).\nAnswer: 72*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*q - q + 3*q)*(548*q + 206*q + 141*q) to the form v*q + t + s*q**2 and give s.\nAnswer: -1790","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 416827 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and 10571623?\nAnswer: -31714869","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 - (-7 + 10 + -1 + -4)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 71*d**4 + d**2 + 8 wrt d.\nAnswer: 1704*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 34*g - 6 - 11*g**2 - 30*g + 52*g. Let n be h(5). Let i(v) = 17*v + 2. Determine i(n).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -11\/10? (a) -1.2 (b) 3\/4 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.01*-243.77\nAnswer: -2.4377","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -34, -3, -2 in increasing order.\nAnswer: -34, -3, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 4063807, 4063812, 4063811, 4063798, 4063767?\n\"Answer: -u**3 + 3*u**2 + 3*u + 4063802","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -392, -3, -0.4, 121, -1\/4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 7*f - 90. Let a be (-6)\/(-27) + 1436\/f. What is the highest common divisor of a and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*l = 19*l - 10. Let r be 3\/1 - l\/3. Find k, given that -68\/3*k**3 + 32\/3*k**2 + 52\/3*k**4 - 4\/3 + 2\/3*k - r*k**5 = 0.\nAnswer: -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from mwwffm.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) 0.6 (b) -48 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1112222111200 (base 3) to base 14\nAnswer: 1771d4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8403\/4 + 1833. Let s = 266 + q. Let a be (-26)\/22 - (-48)\/264. Which is smaller: s or a?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-77)\/(-14) - 5)*(8 + 7 + -9).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + -1. Let p = -11 + 8. Let g = 7334 + -7330. Put g, m, p in decreasing order.\nAnswer: g, m, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 450 is divided by 144.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 87 - 42. Suppose 5*y + c = 5*r, -r - 21 = -2*r - 5*y. Put -1, r, 5 in increasing order.\nAnswer: -1, 5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6177293363?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-6)\/(-8) + -2)\/(6\/36). Let j(n) = n**3 - 7*n**2 + 8*n - 4. Let w be j(6). Let i = w + s. Which is the smallest value? (a) 0.3 (b) 0.2 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 26 - 15. Let d = 8 - t. Let g = d + 2. What is the nearest to -0.1 in -5, g, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*d**2 - 13*d**2 - 8*d**2 - 7*d**2.\nAnswer: 5*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3bb906 (base 14) in base 2?\nAnswer: 111111000111000100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*m - 74 = 290 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -1826*q - 5053*q - 1396*q + 2714*q - 2762*q - 3*q + 0*q + 2*q + (0 + 1 - 2)*(q + 2*q - 2*q) in the form t*q + o and give t.\nAnswer: -8325","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*n + 5*n - 13*n)*(-3*n - n + 6*n)*(-4*n + 4*n + n) as j*n**3 + y*n**2 + b + q*n and give j.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/3*3)\/4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 25337 - 25337 - 7093*r - 834*r to d + l*r and give l.\nAnswer: -7927","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the second derivative of -h**6\/30 + h**5\/4 - 2*h**4\/3 + 2*h**3\/3 - 7*h. Determine n so that o(n) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -2*f + 3. Let l be t(2). Let w = -4316 + 4318. Which is the nearest to l? (a) -3 (b) 7 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**2 + 7*s + 26. Let j be y(10). Let m(r) = r**2 + r - 12. Let x be m(j). Solve x = w - 4*w - 6 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*(f\/f**(-3\/4))\/f)\/(f*f\/f**11))**(-2\/23)*(f\/(f*f**4\/f*f)*f**5)\/(f**(-4\/7)*f*f**1\/f) assuming f is positive.\nAnswer: f**(-117\/322)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10477*z - 10474*z + 12 = 0. Sort 2018, z, -3.\nAnswer: z, -3, 2018","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 3 = 1. Suppose 0*t + 6 = 2*i + y*t, 0 = 4*i - t - 27. Let z be i*(3 + 2)\/75. Is -4 less than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 divided by -46755?\nAnswer: -11\/46755","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/167, -26, 5 in increasing order.\nAnswer: -26, 2\/167, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -20*b. Let p(k) = 18*k - 24. Let y(l) = -7*l + 10. Let o(c) = -5*p(c) - 12*y(c). Give h(o(f)).\nAnswer: 120*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6.6 + 9. Let d = g + -2.40000156. Round d to 6 decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3841 - -2400. Let q = h - -643. Let y be q\/(-10) + (-5)\/(-25). Calculate the greatest common factor of 32 and y.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:18 PM and 9:37 PM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -11868*w - 2316 + 2316 + 4834*w in the form z*w + h and give z.\nAnswer: -7034","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5, -758.\nAnswer: -758, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2371956 is divided by 8067?\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (4\/(-16))\/(2\/8). Let g = b - -4. Let r(z) be the first derivative of -z**3\/3 + z**2 - 4*z + 127. What is r(g)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -3*j**3 + 4*j**2 + 5*j + 2. Let v be r(4). Suppose -5*m + 2*k = -883, -36*m + 4*k = -41*m + 889. Let d = v + m. What is the tens digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m + 2*w + 41 - 42 = 0, -5 = -3*m - w for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2485287ml to litres.\nAnswer: 0.0002485287","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/15, 1\/4, -14, 27\/7 in decreasing order.\nAnswer: 27\/7, 1\/4, -2\/15, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -75 divided by 675417\nAnswer: -25\/225139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:22 AM and 12:38 PM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 2\/6489?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 133*n + 66 - 2*n**3 - 390 - 57.\nAnswer: -2*n**3 + 133*n - 381","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the second derivative of v**4\/12 + 2*v**3\/3 + v**2\/2 + 20*v. Determine a(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 614941674*w**3 - 403*w**2 - 446234*w.\nAnswer: 3689650044","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -360.9 - -394. Let f = l - 31. Let i = -2 + f. Which is bigger: i or 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -0.5, 0.3, 70905.8 in descending order.\nAnswer: 70905.8, 0.3, -0.2, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.2 (b) -1.654 (c) -0.2 (d) -1\/6 (e) -30 (f) 0.3 (g) 1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*u**4 - 1233*u**3 - 18960*u**2 + 906084*u + 260400 = 0 for u.\nAnswer: -28, -2\/7, 25, 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3612*o**3*v**2 - 263*o**3 + o**2*v + o*v + v wrt v?\nAnswer: 7224*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 8, -1, -3\/11, -0.01, -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 73.059 + -0.059. Let v = -44983 - -134948\/3. What is the third smallest value in v, 3, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 280 and 210.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4305, -17, 3, 4, -3, 5 in descending order.\nAnswer: 5, 4, 3, -3, -17, -4305","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 2 = -4*j. Let v = 32 + -25. Solve j*o = -v - 1 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 217091.62933 + -217090. Let k = q - 1.63. What is k rounded to 4 decimal places?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 323 = 4*g - 2*j, -5*g = -4*j + 390. Let a = g + 85. Suppose 4*k + 284 = a*p, 4*k - 176 = 3*p - 5*p. Does 23 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-4)\/(-6))\/((-4)\/6) - (-107 + 102). What is the closest to -11.8 in c, -0.4, -0.2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -867 + 870. Solve 0*o + 3*t = o + 7, -15 = -c*o - 3*t for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5*(-6)\/(-45))\/((-16)\/192*52)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 5*f = 4*d - 5, -25 = -5*d + 5*f. Sort d, 3, -11 in increasing order.\nAnswer: -11, 3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -5*b**2 - b - 14. Let i be q(5). Let t = i + 157. What is the remainder when 67 is divided by t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00006293291 to 6 dps.\nAnswer: 0.000063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -956*j**2 - 1495*j**2 + 11*j**3 + 3947*j**2 - 1496*j**2.\nAnswer: 11*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6 by 570.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 103 = 5*v - 5*n + 78, -v - 7 = -5*n. What is the smallest common multiple of v and 1458?\nAnswer: 5832","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2385903ug in nanograms?\nAnswer: 238.5903","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 272 - 3*c**2 - 32*c - 494 - 29 wrt c.\nAnswer: -6*c - 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4475)\/18795*2*(-7)\/4?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 27 + -17. Suppose -3*j - s + 31 = 0. Suppose 0 = -j*a + 92 + 258. List the prime factors of a.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 28 and 30548.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -400*u + 15809507 = -12248893. List the prime factors of u.\nAnswer: 2, 3, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -59993*r**3 + 7*r**2 + 6*r + 9. Is k(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 25 = 5. Suppose -3*t - t = -2*o - 12, -o = t - r. Let f be -5*(1 + 0) - 2. Let h(x) = 5*x - 11. Let d(g) = 3*g - 6. What is f*d(v) + t*h(v)?\nAnswer: -v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34669129.\nAnswer: 11, 19, 31, 5351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 3*s + 100 = 4*h, 0 = h - 2*s - 22. What are the prime factors of h?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -31 + 55. Does 24 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 2*r + 596, -5*d - 6*r = -9*r + 1450. Suppose -228 = 3*c - 0*c. Let a = c - d. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3889 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z - 3. Determine g(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -64, 5\/4, 27?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 2*y**2. Let t(f) = 41*f**2 + 82*f + 41. Let k(u) = 2*u + 1. Let d(c) = 205*k(c) - 5*t(c). What is d(i(b))?\nAnswer: -820*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2, -145 in descending order.\nAnswer: 2, 1, -145","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*o + 417 + 47 = 0. What is the remainder when 8931 is divided by o?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 13 + 0\/(6\/(-3)). Let a(x) = 68*x - 132. Let m be a(2). Solve t = 3*p + 11, -p = t + m*p + f for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -56 - -54. Let t(o) = -o - 2. Let j be t(-4). List the prime factors of (8 - j)*(-9)\/v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, -0.3, -0.12, 3 in descending order.\nAnswer: 3, 2\/7, -0.12, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, t: 1, o: 1, g: 2}. What is prob of sequence ko?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:52 PM and 4:59 AM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -46400000 rounded to the nearest 1000000?\nAnswer: -46000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1760 and 467236.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1877591 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 17 and 7463.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18159032 - 18159031.87000007. Let h = 12.13 - 12. Let v = r - h. Round v to seven decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2871263?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/((-950)\/171))\/(2\/10).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (38 + 5 - 22)*(-18 - 38 - 34)*(-2*m**3 - 3 + 3).\nAnswer: 3780*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -3*g**2 + 5*g + 4. Let m be i(4). Let v = m + 26. Suppose -32 = -v*q - 2*q. Solve -9 = d - 4*n, d + n = 4*n - q for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -2*a**3 - 13*a**2 + 7*a + 5. Let u be g(-7). What is the highest common factor of 45 and u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 6*z = 0. Suppose -9*t + 7*t + 118 = z. Suppose 5*x - t - 146 = 0. What are the prime factors of x?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 35856 and 53784?\nAnswer: 107568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/14*(-14000)\/240?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**3 + r**2 + 3*r + 486. Let a be m(0). Calculate the common denominator of -35\/81 and (-7)\/((a\/(-11))\/9).\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4371013 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.1, -0.5, -1, -35?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-33)\/55)\/((-4)\/(-10)) + 1.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -21 + 10. Let s = -10 - g. Which is bigger: -1\/4 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*n - 2*n - 5*n)*(545355 - 987*n - 545355).\nAnswer: 3948*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3011373 is divided by 149.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 46\/(-152) + 151\/604\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 201 + -199. Suppose -i + 2241 = u*x, -4*i = 2*x + 3*x - 8967. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1, 18, 61, 142, 273, 466, 733?\n\"Answer: 2*a**3 + a**2 - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.26 + 0.66. Which is the nearest to 0? (a) w (b) -2\/9 (c) -7\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, g: 1, a: 1, v: 1, s: 2}. Give prob of sequence ass.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 167016 to the power of 1\/2, to the nearest integer?\nAnswer: 409","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.4, -256, 135.6?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-247)\/(-13) - 16 - (0 + -1). Solve -4*k + 3*k = -a for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**3 + 4*m**2 - 3*m - 3. Suppose -5*f - 32 = 4*j, -33*j - 2*f = -32*j + 8. Let q(u) = -3*u**3 + 11*u**2 - 8*u - 8. Calculate j*w(t) + 3*q(t).\nAnswer: -t**3 + t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1240703 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17888?\nAnswer: 2, 13, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2007923 and 48211.\nAnswer: 1303","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -44*p**3 + p**2 - p - 1. What is h(-1)?\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -148*t = 688 - 56 + 404 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*k = 4*k - 5*x - 12 + 81, -2*k = -x + 10 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14973317 divided by -3.\nAnswer: 14973317\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15198746, -30397488, -45596230, -60794972?\nAnswer: -75993714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t + 3. Let q be l(12). Suppose -a = -3*g + 2*g - 6, -3*a + 2*g + q = 0. Factor -4\/3 + 17\/3*s**2 + 23\/3*s**4 + 35\/3*s**a - 4\/3*s + 5\/3*s**5.\nAnswer: (s + 1)**3*(s + 2)*(5*s - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -31, -142, -445, -1036, -2011?\nAnswer: -3466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 37, -96, -317, -626, -1023?\n\"Answer: -44*q**2 - q + 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 12\/5 and (8\/40)\/((-2)\/(-375)).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 + 0)*(-p + p + 3*p) + (4*p - 2*p - p)*(1 + 14 - 11).\nAnswer: 10*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 25369261 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(1\/4))**(-31)*(v\/(v**2*v*v))**6 assuming v is positive.\nAnswer: v**(-103\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - 207\/21) + 12\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 527340421?\nAnswer: 19, 4721, 5879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/3 + -1 - 697\/(-51). Suppose -i - 2*b + t = 0, 2*i + 2*b - b = 17. Let h = -3 + 15. Calculate the remainder when h is divided by i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -r + 3*m, r + 0*r - 5*m - 9 = 0. Suppose f - 5*i + 2*i - 7 = 0, -5*f - r*i - 3 = 0. What are the prime factors of (4 - 2)*f + 10?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 174589 - 33688 = -1831*p - 86 for p.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**2 + h + 1. Let d(q) = 30*q**2 - 22*q - 22. Give -44*a(r) - 2*d(r).\nAnswer: -16*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 9, u: 2}. What is prob of picking 2 u?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 111 + -112. Does 4 divide ((-86)\/(-1))\/(p + 3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -2*d**3 - 3*d**2 - 71*d + 55. List the prime factors of p(-13).\nAnswer: 5, 7, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 862805346.\nAnswer: 2, 3, 13, 11061607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -371 + -89. What is d rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**3 - 7*r**2 + 5*r - 2. Let v be -2*(-4 + 7 - 6). Let j be q(v). List the prime factors of (4 + j - -1) + 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2537*s**3 - 2460*s**3 - 3*s**2 + s**2 + 2*s**2.\nAnswer: 77*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 12031310132 (base 4) to base 8\nAnswer: 6156436","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**2 + 22*y - 1566. Let k be z(30). Suppose -20 = 3*r - r - 5*d, 3*r = -5*d - 5. What is the third smallest value in -0.1, r, 0, k?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 218?\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -8 + 6 + -8 + 5 + 8 + -48.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1\/6))**10 assuming p is positive.\nAnswer: p**(-5\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -4*v + 52. What is t(14)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.2 - -0.2. Suppose -95*g - 2 = 473. Which is the nearest to z? (a) 1 (b) -0.2 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -57 times -393931?\nAnswer: 22454067","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and 7\/381 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.22, -3, 5, -0.3, -24?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2825 and 315660415.\nAnswer: 565","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.9 and 650336.\nAnswer: -585302.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 107420389 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 60375136?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(-1)*c*c)\/c)**(-46)\/(c\/(c\/c**(-1))*c**(2\/7)) assuming c is positive.\nAnswer: c**(-317\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -36 + 45. Let x(n) = n**2 + n - 3. What is the remainder when x(4) is divided by h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -104598801 * 0.1.\nAnswer: -10459880.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/7*u**2 + 0 + 4\/7*u**3 + 0*u.\nAnswer: u**2*(4*u - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 16) to base 5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -162, -134, -80, 6, 130, 298, 516?\nAnswer: 790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -638 at least -565?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 229.3 - 90. Let t = -139.3000609 + z. What is t rounded to 5 dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes after 3:42 PM?\nAnswer: 5:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -38379 - -105158459\/2740. Let v = 11679175623297287\/90420 - 129165844099. Let w = r - v. What is the common denominator of 80\/21 and w?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 3*x**2 + 208*x - 362. Give q(-71).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4212174?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 23702, 33479, 43256, 53033, 62810, 72587?\n\"Answer: 9777*b + 13925","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-2\/5)\/w**(1\/6))**(-2\/3) assuming w is positive.\nAnswer: w**(17\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -19899 - -19661. What is the closest to u in -5, 2\/11, 6, 0.2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 64 + -44. Let m = 5715044 + -5715063.9999936. Let n = m + h. What is n rounded to six decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 934151478 to the power of 1\/3, to the nearest integer?\nAnswer: 978","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 8*j - 1. Let i be a(1). Suppose 0 = -5*p + i*p - 52. What are the prime factors of p?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 2 z when three letters picked without replacement from {z: 3, n: 4}?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -6*w**3 - 2*w**2 + 1. Let z be v(-1). What is the derivative of -z*i**3 + 0*i**3 + 0*i**3 - 4 wrt i?\nAnswer: -15*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -5\/76?\nAnswer: -5\/76","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/104*-44*(-206)\/(-1133)?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -3*n - 12. Let c(b) = -b**3 + 33*b**2 - 14*b + 4482. Let l be c(36). Calculate the greatest common divisor of l and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 381.6 - 382. What is the second smallest value in a, 2\/9, 2\/5, -2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -12*f - 236. Determine o(-19).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 5*d - 2*d - 6*d + 13 - 10. Let s be ((-4)\/2)\/(-2) + 1. Determine i(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.150064 kilometers to millimeters.\nAnswer: 5150064","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 divided by -12?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 - -60?\nAnswer: 5b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (75\/50)\/(2\/(-12))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a = 12 - 5. Let h(c) = 0*c + 3 + 2*c + a + 1. Give h(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -44457 and 5?\nAnswer: 44462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 63116 and 248.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 0*h - 5*p = -18, -2*p + 21 = 5*h. Suppose 0 = -h*c - 19 + 88. What is the remainder when 68 is divided by c?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 2, -4, 26 in decreasing order.\nAnswer: 26, 2, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5\/70*-2*-10. Which is the smallest value? (a) -4 (b) u (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82947902 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*b - 135 + 135)*(-2*b + 4*b - b) + 4*b**2 - 4*b**2 + b**2.\nAnswer: 11*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29778*s**3 - 29775*s**3 + 59547*s**3.\nAnswer: -6*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32 = -2*h + 2*t, 3*h = -h + 3*t + 157 - 207 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the third derivative of 102*f**2 - 1\/6*f**5 + 0*f + 0 + 0*f**3 - 5\/3*f**4 + 1\/24*f**6. Factor l(w).\nAnswer: 5*w*(w - 4)*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:58 PM and 5:57 AM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**2. Let f(l) = 16*l**2 - l - 20966. Determine f(p(x)).\nAnswer: 16*x**4 - x**2 - 20966","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.3 (b) 76 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-6\/7)\/s*s**(2\/3)*s**0\/s**6 assuming s is positive.\nAnswer: s**(-151\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -5*g - 3. Let d = 520 - 263. Suppose o + 2*j = -2*o + d, 340 = 4*o + 4*j. What is the remainder when o is divided by u(-5)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5.64 + 5. Let n = 0.7 + l. Let c = -0.060011 + n. Round c to six decimal places.\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*t - 2*t**4 + 31*t**3 - 4*t**2 - 31*t**3 + 15*t**2 to the form r*t**2 + i*t**3 + n*t**4 + w + g*t and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -474*i - 52 = -478*i for i.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 10064*h. Let l(u) = -19*u**2. Give l(k(a)).\nAnswer: -1924397824*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-6))\/((1\/(-15))\/((-2)\/(-6)))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 10 = 5*o - 3, -5*d = 3*o - 1. Suppose -o*j + 0*j - 4 = 0. Let q be (2 + 0)*j\/(-50). Which is smaller: q or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7119, 14211, 21293, 28365?\nAnswer: 35427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let f be (-16 - 390\/(-24))*0. Solve 0 = -b - 2*p - 6, 4*b + f*p = 4*p for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**3 + 2*u**2 - 6*u + 5. Let s be d(-4). Sort 5, -2\/241, s, -0.3 in descending order.\nAnswer: 5, -2\/241, -0.3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15001707.733 rounded to the nearest 1000?\nAnswer: 15002000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10617185 and 23590?\nAnswer: 1685","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 4*a - 8. Let i be d(3). Suppose 6*l - l - 510 = 5*h, -i*l + 3*h + 408 = 0. Calculate the remainder when l is divided by 56.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g = g. What are the prime factors of (-12)\/(15\/(-80) - g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 5*p + 5 = 0, 1 + 5 = 3*p. Let k = 243 + -2189\/9. Let o = 0.047 + -2.047. Put o, k, m in increasing order.\nAnswer: o, k, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 73, 129, 221, 349, 513, 713, 949?\nAnswer: 1221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2209135.\nAnswer: 5, 441827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**3 - 3*w**2 + 2*w - 1. Let m be s(3). Suppose -m*z - 5*x + 425 = -0*z, 5*x - 101 = -z. What is the greatest common divisor of z and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -40918428\/5 or -8183686?\nAnswer: -40918428\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74*o - 2 = -72*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**3 - 15*m**2 - 19*m + 1. Let p be h(16). Let f = p - -197. Is 25 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**0)**(-1\/81)\/((b*b\/(b*b\/b**(2\/3)))\/b*b)**22 assuming b is positive.\nAnswer: b**(-44\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 100\/(-60)*(-5)\/((-225)\/162).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -5.6, -3, 189, 1, -2\/5?\nAnswer: -5.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 34971 to the power of 1\/2, to the nearest integer?\nAnswer: 187","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 231*w**5 - 36437*w**3*y + w*y - 2*w + 604694*y - 1 wrt w?\nAnswer: 4620*w**3 - 218622*w*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*x + 9*x = -5*m + 4491, -x = 2*m - 1781. Are 5 and m non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5574830 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**2 + 11. Let g be y(5). Calculate the highest common factor of 36 and g.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.05 and -3?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + x = m + 273, 0 = 4*m - x - 263. List the prime factors of m.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 56 = -2*p + 4, 16 = -4*p. Suppose 63 = 5*a + i - b, 0 = 3*a + 3*i - 60. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 908*g + 58183. What is t(-64)?\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5, -38, -129, -308, -605, -1050, -1673, -2504?\nAnswer: -3573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -28 + 32. Solve 0 = f*c - 9*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 greater than 652999?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 52, 28401 in decreasing order.\nAnswer: 28401, 52, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 25 + 23205*s**2 - 23164*s**2.\nAnswer: 41*s**2 - 23","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let n = 24082 - 24081.9991684. What is n rounded to three dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*-4*(495\/30)\/3?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c - 1 = -y, -c - 2*c = 5*y + 8 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -26145.9 to the nearest one thousand.\nAnswer: -26000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v + 153 = -263. Let q = v + -57. Let u = 6 + -4. Which is the nearest to 0? (a) 1\/9 (b) u (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 530 + 1118 = -210*y - 1082 for y.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1.7 * 21358943\nAnswer: 36310203.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y - 11. Suppose 0*w - 2*t = -w - 5, -2*w = -2*t. Suppose 23 + 2 = -w*n. Give x(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 131*m + 68*m - 340*m + 66*m.\nAnswer: -75*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**3 - 20*a**2 - 10*a + 32. Let z be j(-20). Calculate the highest common factor of 8 and z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11609 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from syusuxssshdsss. Give prob of sequence su.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -4*i**2 - 498*i + 2523. Determine w(-124).\nAnswer: 2771","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 411536?\nAnswer: 2, 17, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-54)*((-109)\/(327\/(-90)))\/((-5)\/2)\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.655 + -0.085. Let z = w + -1.57. What is the nearest to 1\/3 in -3, z, 3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxxx when four letters picked without replacement from lxxxxxll?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13081056?\nAnswer: 2, 3, 136261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 17\/4 of a decade?\nAnswer: 510","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**2 - 7*k + 9. Let a be f(6). Let c be ((-9)\/2 - (-6)\/12) + a. Let l be 9\/2 - (-4)\/8. Sort l, c, -5 in ascending order.\nAnswer: -5, c, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2c (base 13) to base 2\nAnswer: 100110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 50344*t**2 - 25169*t**2 - 25174*t**2. Let h(i) = 845*i**2. Calculate h(s(p)).\nAnswer: 845*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0\/(3 - 7) - -3. Solve -6 = -5*f - 5*w + 9, -j*f + 11 = 5*w for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 148207095 a multiple of 635?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, -1.38, -5.\nAnswer: -5, -1.38, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5 + 5 - 2)*(-4 + 7 - 4) + (8 - 4 + 0)*(1 - 2 - 1))*(-12*f**3 - 62*f**3 + 0*f**3).\nAnswer: 444*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 63032283 and 64197?\nAnswer: 9171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 4*z**3 - 8*z**2 + z - 1. Let w be g(1). Which is the closest to 0.3? (a) -2 (b) w (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 2*d**3 + 4*d**2 - 2*d - 4. Let k(i) = -4*i + 64. Let p = 86 + -75. Let m be k(p). Suppose 12 = m*f - 24*f. Determine v(f).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -8*l**2 + 6*l - 9. Let g(h) be the first derivative of -98 + 7\/3*h**3 + 8*h - 5\/2*h**2. Calculate -6*g(q) - 5*t(q).\nAnswer: -2*q**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -l + l - l**2 + (-4*l + 5*l + 0*l)*(2 + 3 - 4)*(-6*l + l + 2*l).\nAnswer: -4*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-3 + ((((sqrt(495) - (sqrt(495) - 1*sqrt(495))) + sqrt(495))*-2 - sqrt(495))\/sqrt(11))**2).\nAnswer: -6732","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*h**3 - 98640*h**2 - 194774100*h - 100394855000.\nAnswer: -4*(h + 1055)**2*(h + 22550)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 1554*o - 198457. Give q(128).\nAnswer: 455","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -624*k**2. Let x(m) = 9*m**2 + 4. Calculate x(h(o)).\nAnswer: 3504384*o**4 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -2 + 7 - 2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 59145 - 37906. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 0*n + 100 = 0. Let a = 4 - n. Round a to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:17 AM and 4:19 AM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 5*k - 23, 2*k = -4*b + 4 + 16. Suppose l + 15300003 = 3*x, k*x + 2*l + l - 20399991 = 0. What is x rounded to the nearest 1000000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -112 - -116 - -30 - 16?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -63*n**2 - 17199*n + 7. What is x(-273)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11\/70 - 3\/10. Which is the nearest to -1? (a) 2 (b) j (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -336 - -336. Let i = -1 + 0.5. What is the nearest to k in -0.3, -1\/3, i?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 65188\/15 + -4346. Let f = 0.4 - 0.5. Let u be (-34)\/10 + (7 - 3). Sort u, 2\/7, b, f.\nAnswer: b, f, 2\/7, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 5947697326?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 9 - 1 - 3 - a. Suppose 0 = -5*v - 2*v - 63. What is the tens digit of x(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 2*z - 12. Find the third derivative of 5*o**4 - z*o**4 - 3*o**4 - 3*o**2 - 2*o**4 wrt o.\nAnswer: -96*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 64.107 and 2203454.\nAnswer: 2203518.107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**3 + 2*w**2 - 2*w + 2. Let x(z) = -z**3 + z**2 - z + 1. Determine 2*m(a) - 4*x(a).\nAnswer: 6*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 897 - 34. Let d = t - 512. What is the hundreds digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 15 = 6*a, -3*z + a + 9 = 0. Solve -5*s + 0 = -h + 2, 5*h + z*s = 10 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -103\/7481802 and -7\/4841166.\nAnswer: 82299822","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 100 = -5*d, 5*l = 7*d - 4*d + 92. Suppose -3*o - 9 = -18. List the prime factors of (o + (-6)\/(-2))*l.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = 5*w + 29, -123*q + 128*q = w. Let t be ((-2)\/5)\/(18\/10). Which is the second smallest value? (a) t (b) -1\/3 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 53 = -3*j, -29 = y - 3*y + 5*j. Suppose 4*p + 224 = 6*p. Suppose -5*d - y = -p. Does 9 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -18951 - -18954. Is -0.942 at least n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**3 + 3*f**2 + 11*f - 32. Let g be n(2). Solve -12*a + g*a - 2*l - 4 = 0, -5*l = -5*a + 10 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (56 - 45) + 1 + -10?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*r**4 - 853320*r**3 + 60666780000*r**2 - 1436487086875000*r - 64764846914062500.\nAnswer: 4*(r - 71125)**3*(r + 45)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3265 + 3408.1. What is z rounded to the nearest 10?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 375 = -107*g + 105*g, 0 = -3*g - k - 557. Is g > -183?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 3*v**2 + 498*v - 6408. Determine i(12).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l when three letters picked without replacement from {i: 9, l: 11}.\nAnswer: 11\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -78 - 74 - 27*v - 70 + 299 + v**2 - 76 as z + b*v**2 + t*v and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 136626 and 57.\nAnswer: 2595894","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 3*p**3 + 4*p**2 - 9*p - 8. Let q(a) = 7*a**3 + 7*a**2 - 16*a - 14. Let j(s) = 4*q(s) - 7*r(s). Determine j(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**3 + 82*z**2 - 86*z + 1083. Let h be b(-77). What is the highest common factor of h and 166?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the first derivative of 9\/8*f**4 + f**3 - 15\/4*f - 9\/4*f**2 + 3\/20*f**5 + 34. Factor w(y).\nAnswer: 3*(y - 1)*(y + 1)**2*(y + 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:39 PM and 11:12 PM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 4*k**2 + 129*k - 152. Let f(z) = 15*z - 1. Let x(j) = -j**2 - 6*j + 2. Let v be x(-6). What is the remainder when n(-34) is divided by f(v)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((17 - 34) + 14)*44\/6.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 392505 and 1581?\nAnswer: 206850135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000264843 rounded to six decimal places?\nAnswer: -0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*m = 22*m + 77. Suppose p = 4*d - 8 + 27, 18 = 2*p + 2*d. What is the greatest common factor of p and m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 385 - 131 - 131 - 123 - 55*j + 53*j.\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 198 times -0.037335?\nAnswer: -7.39233","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = 3*o + 21, -3*a - o = -0*a + 11. Suppose -1 = 4*i - 3*u, i + u = 4*i - 3. Put i, -1, a in descending order.\nAnswer: i, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 1 = 47. What is the common denominator of -19\/176 and ((-41)\/m + 4)*292\/42?\nAnswer: 1584","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -113233 + 113233 - 7*n. Let u(b) = 2*b**2. Determine u(x(c)).\nAnswer: 98*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*o - 39*o + 26 = -4*d, 2*d + 2 = -4*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*s**2 - 14335*s.\nAnswer: 5*s*(s - 2867)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -413 + 419. Solve -3*b + 0*b = -h for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 545 take away -332.71309?\nAnswer: 877.71309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**3 + 21*g**2 - 22*g - 24. Let n be k(-22). Let p be (-17)\/(-20) + (-3)\/n*-2. Which is the smallest value? (a) -2\/7 (b) 1\/10 (c) p (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 2 - 5*n - 215*n - 193*n + 1. Is r(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -17271.557 to the nearest 10.\nAnswer: -17270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b**(2\/35))\/(b\/((b\/(b\/b**(-7\/3)))\/b)))**(-5))**42 assuming b is positive.\nAnswer: b**688","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 15097 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the second derivative of 7\/15*j**6 + 0*j**3 - 5\/2*j**2 + 0*j**5 + 0*j**4 - 2*j + 0. What is the derivative of n(a) wrt a?\nAnswer: 56*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1503 and 639?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i\/i**(1\/2)))\/i*i)**(-18)*i**(1\/2)*i*i**(-6) assuming i is positive.\nAnswer: i**(-27\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-384)\/14)\/(94\/(-26649))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:35 PM and 12:03 AM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 52145 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 3)*33\/88.\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 303324 (base 6) to base 4.\nAnswer: 11320210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 1105100 to the nearest one hundred thousand.\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6683672*x*z**3 - 9*x*z - 196*z**2 - 2*z wrt z.\nAnswer: -40102032*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 112*s**3 - 41*s**3 - 38*s**3 - 34*s**3.\nAnswer: -s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 28 and 17832.\nAnswer: 124824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the first derivative of h**3\/3 - 40*h**2 + 511*h + 464. Solve v(i) = 0.\nAnswer: 7, 73","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 174 (base 9) in base 5?\nAnswer: 1043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*t + 1073*t**2 - 1095*t**2 + t + t - 4*t.\nAnswer: -22*t**2 - 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 43.44925m in millimeters?\nAnswer: 43449.25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-214)\/(-5)*(-750)\/(-700). Is 45 <= j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 4*a + 5 = 17, 0 = r + 3*a + 1. Let l(q) = 27*q - 1. Is l(r) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the second derivative of -10481*q**5\/20 - q**4\/12 + 6088*q**2 - 10*q + 140. Find the first derivative of l(t) wrt t.\nAnswer: -31443*t**2 - 2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 take away -116.0905829002?\nAnswer: 115.8905829002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 869 is divided by 96.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the first derivative of 11*w**3\/3 - 3*w**2\/2 + 316. Solve b(d) = 0 for d.\nAnswer: 0, 3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*y**5\/2 + 3*y**4\/2 - y**3.\nAnswer: y**3*(y + 1)*(5*y - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -12\/13, 9, 3, -2, -2\/7, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 - 1.5. Let t = -0.754 - -505.754. Let i = t - 505.4. Is q greater than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -9*b - 79*b - 4 - 11. Is s(-19) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -201210 - 232302?\nAnswer: -1100112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 22*b**4 + 96 - 91 - 17*b**4 - 10*b**2.\nAnswer: 5*(b - 1)**2*(b + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 + 2 + 13 + -16\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -i*r*v**2 + 298*i*r*v + 5*i*v - 2*r*v**2 + 3657*v**2 wrt i.\nAnswer: -r*v**2 + 298*r*v + 5*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (0 - 5 - (4 - 7))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 25 - -2. Let j be (-51)\/(-27) + (-6)\/a. Let r = 3.4 - 3. What is the third smallest value in j, -2, r?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85*y + 2190 = 95*y. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-45504)\/(-63))\/32 + 160\/112\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is b3a05bb2 + 1?\nAnswer: b3a05bb3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**2 + 4*j + 2. Let t(r) = -3*r**2 + 9*r - 12. Let k be t(2). Give q(k).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, -3, 572, 0.1, 1\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6*1*27\/6 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24471, 48923, 73379, 97845, 122327, 146831?\nAnswer: 171363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -3 (b) 58 (c) -4 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + t = 58. Let q = t + -11. Let i be 6\/(-4)*(-24)\/q. Solve i*d = 5*f, 0 = -0*f - f + d for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 28.1 - 2.1. Let w = 24.722 - -0.278. Let u = w - x. Is u not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26185, -4, -21 in increasing order.\nAnswer: -26185, -21, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 51116, 51147, 51204, 51287, 51396, 51531, 51692?\nAnswer: 51879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -113 - 92 - 2565*t**2 - 664*t**2 + 205 - t in the form q + y*t**2 + g*t and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 658 divided by -2196.\nAnswer: -329\/1098","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-1\/2)*r)**(4\/13)\/(r**5\/(r\/r**(2\/17))))**(-3\/2) assuming r is positive.\nAnswer: r**(1314\/221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/38)\/(30\/(-40))?\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -3*o - 2477218, 3*t + 2257635 = -3*o + 771309. Let r = 185446 + t. What is r rounded to the nearest 100000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 10cd0 + b?\nAnswer: 10cdb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + n + 0)*(-2 + 3 + 0) + (-2*n + n + 0*n)*(-9 + 23 - 6) + (-n + 0*n + 0*n)*(-1 + 1 - 2) + 0 + 2*n + 0.\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*z**5\/11 + 54*z**4\/11 + 186*z**3\/11 + 34*z**2\/11 - 276*z\/11 = 0. Calculate z.\nAnswer: -23, -3, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 187*s = 223*s - 8835631 - 2578493. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21 (base 16) to base 9\nAnswer: -36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -42 - -46. Suppose -g - 3*t = -4*g + 24, t + 20 = f*g. Let r be (g\/144)\/((-3)\/(-9)). Which is the nearest to 1? (a) 2\/3 (b) r (c) -5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 49, -64, -98 in increasing order.\nAnswer: -98, -64, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -67 + 58. Let n(p) = p**2 + 2*p + 3. Let t be n(-2). Suppose 4*v - t*v - 1 = 0. Solve 3*u + d = -4*g + v, -5*u - 3*g = -4 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -2*l**5\/7 - 64342*l**4\/7 + 27578*l**3 + 64342*l**2\/7 - 193044*l\/7 = 0.\nAnswer: -32174, -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/2, -2, -0.4, 0.1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -69*w. What are the prime factors of v(-1)?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**2 - 5*z + 4. Let i be m(4). Suppose -8 + i = -4*o. Solve 0 = 2*d + h - o, -d - 4*h + 12 = 4 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 + -54612?\nAnswer: -54608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the second derivative of t**3\/6 - t**2\/2 - 6*t. Let g be c(3). Suppose 2*n + 3*p = -n + 366, 0 = g*p + 10. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -36 - -30 - (0 + (-2 - (8 + -5)))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -657 times -414?\nAnswer: 271998","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 62146150?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 5, q: 3, o: 7, h: 1, f: 2}. Give prob of sequence hq.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the third derivative of 0*w**3 + 9\/10*w**6 + 1\/84*w**8 - 6\/35*w**7 + 8*w**2 - 9\/5*w**5 + 0 + 0*w**4 + 0*w. Factor l(o).\nAnswer: 4*o**2*(o - 3)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t - 4*t + 6. Differentiate -2*u**2 + 4 + 3*u**2 + 0*u**2 + 3*u**t with respect to u.\nAnswer: 8*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes before 7:40 AM?\nAnswer: 6:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -201.671 times 1\nAnswer: -201.671","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that k**2\/2 - 45*k\/2 + 250 = 0.\nAnswer: 20, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -26 - 269. Let t = z - -3247\/11. What is the second biggest value in 2, t, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 8*s - 36. Let t be 5 + 1 + (-13 + -3)\/s. Suppose t*l - 8223 = -l. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -0*n - 41. Let d = 43 + n. Let u(q) = -35*q**2 + 72*q**d - 35*q**2. Let v(p) = -10*p. Calculate v(u(c)).\nAnswer: -20*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -47330, -94721, -142112, -189503?\nAnswer: -236894","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 242*c - 51 = -187*c + 378 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*j + 2*j - 7*j)*(141*j**3 - 306*j**3 + 114*j**3 + 4*j) to o*j**2 + u*j + s + k*j**3 + a*j**4 and give a.\nAnswer: 153","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -3*r**2 + r - 1. Let s(b) = -4*b**2 + b - 1. Let w(u) = 4*f(u) - 4*s(u). Let h(c) = 115*c. Calculate w(h(z)).\nAnswer: 52900*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6*c - 2*c - 6*c**2 + 8*c + 3*c**3 - 56 wrt c?\nAnswer: 9*c**2 - 12*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*j + 8*j - 8*j + 0*j + 735*j**2.\nAnswer: 735*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1252631293 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**3 + 26*v**2 + 11*v. Let s(q) = -13*q**2 - 6*q. Determine -6*g(w) - 11*s(w).\nAnswer: 6*w**3 - 13*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -719, -721, -723, -725?\nAnswer: -727","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49*t**3 - 48*t**3 + 100*t**3.\nAnswer: 3*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1016*n**5 - 31*n**4 - 51*n**3 + 2005*n**2 + 82443*n wrt n?\nAnswer: -60960*n**2 - 744*n - 306","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3053986227 - 0.11316?\nAnswer: 3053986226.88684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -32*x + 37. Let s be r(1). Suppose -717 = 4*n - 6*m + 11*m, 0 = -s*n - 4*m - 885. Sort -4, n, -3 in increasing order.\nAnswer: n, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -502 (b) -23 (c) 0.1 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-171)\/(-152) + 5\/(-40). Sort -3, q, -18, 2 in descending order.\nAnswer: 2, q, -3, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 870551 - 580726 = -20*u. What are the prime factors of u?\nAnswer: 3, 23, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -5*v**2 + 42*v - 62. Let q(b) be the second derivative of -5*b**4\/12 + 43*b**3\/6 - 63*b**2\/2 + 11*b. Let j(z) = -3*k(z) + 2*q(z). Factor j(i).\nAnswer: 5*(i - 6)*(i - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 70 (b) 1.1 (c) -1747\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*o + 0 + 0)*(-2*o + 5*o - 51 - o) as b*o**2 + t*o + a and give b.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 - -5. Let f(s) = -4*s + 5. Let l(r) = r. Let k(v) = 8*v - 6. Let p(n) = -k(n) + 4*l(n). Give g*f(t) - 3*p(t).\nAnswer: -4*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -66 - -74. Solve 2*h + 0 = i for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 2*i = -0*i - 9, 0 = 5*p - 5*i - 15. What is the closest to -2\/3 in 0.5, p, -7?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from deeyydebuueede. Give prob of picking 3 d and 1 e.\nAnswer: 6\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.6732412l?\nAnswer: 673.2412","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = -4*d, -2*u + 0*u + 18 = -2*d. What is the greatest common divisor of 28 and u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -106 - -101.1. Let t = f + 5.27. What is t rounded to one decimal place?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**2 + 4*d + 1. Let n(p) = -p. Let f(w) = w + 0*w + 9 + 8*w + 2*w**2. Let x(s) = -f(s) - 3*n(s). Let q be x(-2). What is y(q)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 77862, 155666, 233460, 311238, 388994?\n\"Answer: -g**3 + g**2 + 77808*g + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -32224170*d**2 - 4176*d + 10206.\nAnswer: -64448340","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -21 + 39. Suppose -3*i = 21 - l. Let v(u) = -21*u + 2. What is the tens digit of v(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -24*4\/(-1)*117\/(-208). Let d = -39 - g. List the prime factors of d.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -20*n - 15*n + 10*n + (2 - 4 + 3)*(3*n + 2*n + n) - 3*n + 4*n - 2*n.\nAnswer: -20*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 16*l**2 + 27*l + 98. Is x(-15) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 28*l**2 - 33*l\/5 - 2\/5.\nAnswer: (7*l - 2)*(20*l + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*t - 3604 = 526. What is the remainder when t is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 434, 433, 432, 431?\n\"Answer: -z + 435","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -13*x**3 + 4*x**2 + 4*x + 4. Let d(r) = 40*r**3 - 11*r**2 - 11*r - 11. What is 4*d(y) + 11*n(y)?\nAnswer: 17*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 364 and 56.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4, -83, 1, 0 in descending order.\nAnswer: 3, 1, 0, -4, -83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6708320*g**3 - 14439441.\nAnswer: -20124960*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.262 - 0.082. Let u = h - 4.88. What is the second smallest value in u, 2\/15, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(288) + ((sqrt(288) + -4)*-5 - sqrt(288)) + -5*(-1*sqrt(288) - sqrt(288)))**2.\nAnswer: 2280*sqrt(2) + 7561","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.5865 - 3.5774. What is i rounded to 1 dp?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -26*u - 1. Let a be t(-1). Let i = a - 4. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 - 4. Suppose q*i + 16 = -r, r = 2*r + i + 11. Let o be 19 - 2\/(r\/3). Solve 4*c = -o, 1 = 5*v + 4*c + 6 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 585 - 403. Find the third derivative of 115*o**2 - 31*o**4 - 16*o**4 - b*o**2 - 2*o**3 wrt o.\nAnswer: -1128*o - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -3*k**2 - 3*k**2 - 8*k + 8 + 7*k**2. Let a be n(6). Let z(v) = 2*v**2 + 3*v + 2. Let p(j) = j**2 + j. Determine a*p(f) + z(f).\nAnswer: -2*f**2 - f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the first derivative of 647*h**3\/3 + 5355. Let f(d) = -2*d. What is f(i(c))?\nAnswer: -1294*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1109*o**2*r + 98596960*o**2 - o*r - 71*r**2 - 5*r wrt r.\nAnswer: -1109*o**2 - o - 142*r - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44341*n = -41374*n - 59340 for n.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19\/((-4218)\/(-3))*2\/2*(-8)\/(-2).\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, -1\/4, -2 in increasing order.\nAnswer: -2, -1\/4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 3401 times 18.5\nAnswer: 62918.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1543326?\nAnswer: 2, 3, 257221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000660057 rounded to five dps?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**5\/3 + 2*k**4\/3 - 2*k**2\/3 + k\/3.\nAnswer: -k*(k - 1)**3*(k + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -6*h + 10. What is the smallest common multiple of (23 - 16) + -2 + h\/1 and 16?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - 2 - (11 - 0))\/2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2382*o**4 + 3059 wrt o?\nAnswer: 9528*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 - 211?\nAnswer: -221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 39840, 159359, 358552, 637413, 995936?\nAnswer: 1434115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 + -1 + (-3 - 1). Let b = w + 197. What are the prime factors of b?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the first derivative of -2*p**7\/7 + 8*p**6\/3 + p**3 - 36*p - 90. Find the third derivative of y(u) wrt u.\nAnswer: -240*u**3 + 960*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -1 - (0 + 5 + -4)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -27\/532 and 31\/287672.\nAnswer: 5465768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -747 - -1393. Is a*(-2 + 10\/4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the third derivative of -q**6\/60 - 169*q**5\/30 - 445*q**4\/12 + 3*q**2 + 71. Find the second derivative of z(i) wrt i.\nAnswer: -12*i - 676","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*i - 47 = 45 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, m: 3, h: 3}. What is prob of picking 2 m, 1 h, and 1 l?\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 7207968.2 rounded to the nearest 10000?\nAnswer: 7210000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 7*x = 9. Let a be 5 + (x - 1964\/(-4)). Suppose 3*g + 5*v - a = 0, 2*v - 489 = -3*g - v. List the prime factors of g.\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = r - 2, -5*r - 8 = -d. Let s = d + 14. Calculate the lowest common multiple of s and 20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -56*f*g**3 + 2*f*g - 30*f - g**3 - 3*g**2 wrt g.\nAnswer: -336*f - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 3*b - 6*b - 131 = 0, 4*u + 3*b - 289 = 0. Suppose -117 = -5*k - 2*d, 0 = -2*k + 4*d + d + u. List the prime factors of (-5 + k)\/(8\/36).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 77*m + 1 + 22*m + 44*m. Let i be f(1). What is the greatest common divisor of 18 and i?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1086210 by -543105.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 832 (base 9) to base 13\nAnswer: 401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 137*m**2 - 137*m**2 + 5 + 4*m**3.\nAnswer: 4*m**3 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 5*l - 43 = 0, -8 = -j - l + 18. Suppose -10*a - 11 = -11*a. Let i = j + a. What is the tens digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 13*m. Suppose 20*q - 16 = 18*q. Let p be (-12)\/16 + 38\/q. Let v(l) = -4*l - l + p*l + 2*l. What is v(a(k))?\nAnswer: 13*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/5 (b) 76.2 (c) 509.91\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) -0.44 (c) 5 (d) -0.517 (e) -3\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 38 - 0 - (1 + 22 - (7 + -51 + 75))?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4\/15 + -2\/45. Let d = -17\/36 + j. Let q = -120 - -1078\/9. Sort -4, q, d in descending order.\nAnswer: q, d, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 3*l + 8, -3*r - 1 = l + 4. Let a be (l - -4)*(-2)\/(-1). Suppose 3*x**2 - 6 + 5 - 2*x - a*x**2 = 0. Calculate x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (30*p - p**2 - 30*p)*(-779 + 1447 - 844 - 10*p) as o*p**3 + h*p**2 + z + v*p and give o.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -22 - 9*z**3 + 78*z**2 + 3*z + 7*z**3 + 21 + 0*z in the form m*z**3 + w*z + d + s*z**2 and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let 6*t**2 - t**3 - 16*t**5 + 20*t**4 - 24*t**4 + 0*t**2 + 15*t**5 = 0. Calculate t.\nAnswer: -3, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 11 = -2*q + 5, -5*q - 2*v - 8 = 0. Suppose 3*l + 2*p = p + 15, -4*l + 3*p + 20 = q. Suppose 0 = -l*z + 17 + 18. Solve 4*a + z = -13 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/432 and (-9)\/15*(-14456)\/44928.\nAnswer: 2160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2044540 * 0.2.\nAnswer: -408908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*v - v**3 + 5*v)*(174 + 16 + 138)*(-3*v**2 - 3 + 3).\nAnswer: 984*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 71\/4 of a gram in milligrams?\nAnswer: 17750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:34 AM and 3:30 AM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 1 - (12 - 9)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the second derivative of 5\/4*l**4 - 1 + 10*l - 12*l**2 + 3\/20*l**5 + l**3. Suppose g(x) = 0. What is x?\nAnswer: -4, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 400 by -80.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 93 - 487 = 0. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, k: 10, w: 3, m: 3}. Give prob of picking 1 k and 1 m.\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/348, 4\/3, 3236\/9?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 - 4)*(-2*p + 5 - 5) + 4*p + p - 3*p.\nAnswer: 6*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 - 14. Let w(i) = -i**3 - 11*i**2 - 11*i - 3. What is the smallest common multiple of 3 and w(v)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 415872859.\nAnswer: 37, 11239807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*k**2 - 1 - 3*k**3 - 12*k**4 + k**3 + 0*k**3 + 9*k**4 to q*k + s + g*k**2 + b*k**3 + a*k**4 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((h**(-13\/3)*h)\/h*h)\/h*h*h)\/(h\/h**16))\/((h*h**(-1\/18)*h)\/(h*h**(-13))))**(-32) assuming h is positive.\nAnswer: h**(368\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24093 is divided by 274?\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 29982935?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.15 + 0.95. Let m = 0.8 - z. What is the nearest to -1 in -5, -0.5, m?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**4 - 91728*j**3 - 1284486*j**2 - 4496044*j.\nAnswer: 2*j*(j - 45878)*(j + 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.574 + 0.074. Let u(s) = -s + 1. Let p be u(-7). Suppose t + w + p = 0, 5*t - 5*w + w + 4 = 0. Which is the nearest to -1? (a) 1 (b) t (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 565\/663 + -41\/221. What is the second biggest value in 559, l, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s**(2\/9)\/s)*s*s*s*s**(1\/2))\/(s**(1\/4)*s**(-6\/5)\/s*s))\/(((((s\/s**(-1))\/s)\/s)\/s)**(15\/2)\/(s**(2\/25)\/(s**(-7)\/s))) assuming s is positive.\nAnswer: s**(19627\/900)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 110 and 14830.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 2 + 4 + (-2 + 2 + 1)*(1 - 5 + 0) - 2 + 1 - 4)*(o - 2*o - o) as x + k*o and give k.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:51 AM and 4:02 AM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4810 and 195?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 2032?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 420*g - 5041. Let h be p(12). Which is the fourth smallest value? (a) -5 (b) -2\/9 (c) -0.163 (d) h (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 56\/341 and -43\/43392095.\nAnswer: 477313045","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the third derivative of 2*d**2 + 0*d - 1\/3*d**3 + 1\/24*d**4 + 1\/15*d**5 + 0. Let f(g) = 99*g - 1388. Let a be f(14). Determine j(a).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7008 < 7008?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 5, y: 1, b: 6, i: 4}. Give prob of picking 1 i, 1 y, and 2 b.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 4*w**3 - 29*w**2 - 17*w + 4. Let m(p) = p**3 - 7*p**2 - 4*p + 1. Let z(o) = 2*a(o) - 9*m(o). Is z(3) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 5*m + 173964, 3*v - 50379 - 80095 = 4*m. Let z = 3130925\/72 - v. Calculate the common denominator of 47\/9 and z.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 224, -1 in descending order.\nAnswer: 224, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 762 + -762. Solve s = -4*j + 3*j + 3 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 871389403 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1098 - -1100. Let k be (p\/7)\/((-55)\/(-770)). Suppose -4\/3*q**k + 0 + 0*q + 0*q**2 + 0*q**3 = 0. What is q?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7 + 13*b + 2 + 5 in the form g*b + q and give g.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -879 + -5?\nAnswer: -883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -83.8348 + 0.0348. Let m = -75 - d. Let v = -8.77 + m. Is v greater than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -307*f + 30*f + 8864. Solve 5 = t + 30*q - f*q, -t = 3*q + 15 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5611781*g*v*w**3 - g*v*w + 2*g*v + g*w**3 + 120*g*w**2 + 7*g*w + 2*g + 36*w**3 + w**2 wrt v?\nAnswer: 5611781*g*w**3 - g*w + 2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 56458 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve m**2\/3 + 11735*m - 246484\/3 = 0 for m.\nAnswer: -35212, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 1*sqrt(19) + (sqrt(342)\/sqrt(6))\/sqrt(3) + 5.\nAnswer: 1 + 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 272 + -269. Suppose 0*g + 2969 = 4*g - i*v, 2*v = g - 736. What is g rounded to the nearest 100?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 199, 1097, 3193, 6979, 12947, 21589, 33397?\nAnswer: 48863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12.1 + 13. Let p = 5.9 - s. Let m = -1 - 2. Which is the third biggest value? (a) p (b) m (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 - -7. Let q(f) = -10*f**2 - 4*f + f**2 + 8*f**2 + f + 1. Let h be q(-2). Solve -h*d = -2*x + 7*x - 25, -3*x + 15 = -m*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.43 - -0.63. Which is the third smallest value? (a) 0 (b) 5 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 74687.\nAnswer: 74687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -27516700 to the nearest ten thousand.\nAnswer: -27520000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1280 + -1280. Suppose -3*t = -0 - 18. Solve a = 4*p - n*p - 14, 0 = 3*a - t for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -105 (b) -3 (c) 1 (d) 1\/7 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 + 17. Let d = s - 9. Does 8 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -2\/17, 3, 0.3 in increasing order.\nAnswer: -0.2, -2\/17, 0.3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 11\/117063 > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 205.8825 days?\nAnswer: 17788248000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -207, -197, -163, -99, 1, 143, 333, 577?\nAnswer: 881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/5 of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 2*y**3 + 102*y**2 - 105*y - 16. Calculate k(-52).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 34 + 416 = 0. What is the tens digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 898, 904, 912, 922, 934?\n\"Answer: j**2 + 3*j + 894","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21*a + 49*a - 5*a**2 - 21*a + 2)*(8*a - 4*a - 18*a).\nAnswer: 70*a**3 - 98*a**2 - 28*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * 59848835.\nAnswer: 299244175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-1002 - -1003 - (-1 - 10\/1)) + 5\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17067 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iizz when four letters picked without replacement from {b: 1, i: 6, z: 4}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(95)*4)\/(sqrt(5) - sqrt(5)*-1*6).\nAnswer: 4*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -2640 divided by -660\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 take away 88199564208?\nAnswer: -88199564211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 10*p**2 + 7. Let f(i) = -i**2 + 1. Let j(d) = -1. Let b(u) = -3*f(u) - 5*j(u). Let k(y) = 14*b(y) - 4*h(y). Let x(c) = 7*c - 3*c + 0*c. Give k(x(s)).\nAnswer: 32*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.0604 - 0.094. Let l = w - -0.02375. Round l to 3 decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s + 10. Let u be y(8). Suppose -x + 4*v = -20, 0*x - u*x + 4*v = -28. Solve j = -5*f - x, -f - j + 1 = 5 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 17*t**2 + 4*t - 8. Let i(j) = 18*j**2 + 3*j - 7. Give -6*i(c) + 5*x(c).\nAnswer: -23*c**2 + 2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 4, 2, -2\/11, -2?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the second derivative of -49*w**5\/4 - 35*w**4\/3 - 2*w - 12. Find the third derivative of p(b) wrt b.\nAnswer: -1470","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 11*c - 399. Solve 45*x - c*x + 12 = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 196153696?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-375)\/250)\/((-31)\/(-558)).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 11\/(-66) + 31\/6. Let x(m) = -m**2 + 13*m + 4. Let k be x(13). Let v be (-66)\/(-14) - k\/(-14). Solve -2*z + w + v = 0, 2*z - a*w = 34 - 9 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9719388882 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/1268 and -113\/7608.\nAnswer: 7608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 2274*l + 852732. Calculate f(-375).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (46 + u - 46)*(0 + 0 - u**2)*(4 + 2 - 5)*(u - 1 + 4 + 0) to m*u**2 + p*u**3 + x + w*u + b*u**4 and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*m**3 - m**3 - 2*m**3 - 7*m**3.\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (306\/204)\/(-8*6\/1824)\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand z**3 - 2*z**3 + 0*z**3 + (0 + 0 + 6)*(z**3 - z**3 - 6*z**3).\nAnswer: -37*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 233915852847 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 270 and 216.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**2 + 61. Let s be v(0). Let q = s + -36. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -150 or -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -77 + 76.922. Round a to 2 decimal places.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 241 + -233. Solve 2*f - 1 + y = j, j + 3*f = -18 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 13 + 3. Suppose n + 7 = 3*b, -4*b - z*n + 2 = -2. Suppose -c + 9 = -b*k, c + 2*k = 5*c - 60. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -22*o - 8. Let v be u(-5). Let z = v + 17. Does 48 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33435.27ng in micrograms?\nAnswer: 33.43527","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 14849, 14853, 14861, 14873, 14889, 14909, 14933?\n\"Answer: 2*b**2 - 2*b + 14849","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1602.\nAnswer: 2, 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 318 - 201. Calculate the remainder when z is divided by 40.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b. Let y(x) = 19677*x - 735. Let q(m) = 667*m - 25. Let g(i) = 147*q(i) - 5*y(i). Determine o(g(j)).\nAnswer: -336*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a**3 - 5*a**3 + 3*a**3 + (5*a**3 - 4*a**3 - 3*a**3)*(5 - 3 - 1) + 2*a**3 - 4*a**3 + a**3)*(-a**2 + 5*a**2 - 2 - 3*a**2).\nAnswer: -8*a**5 + 16*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 + 8. Let l be ((-27)\/6)\/((-2)\/n). Let c be (-37)\/45 + 2\/l. Which is bigger: c or -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*s - 0*s + 30. Let v(y) = 9*y - 5*y + y - 3*y - s. What is v(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the third derivative of p**6\/120 + p**5\/60 - p**4\/24 + 9*p**2. Calculate the lowest common multiple of h(2) and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/10 of a millimeter?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 20 + -17. Suppose -6*q + 15 = -b*q. Does 5 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -4*n**2. Let g = -2 + 4. Let v(b) = 3*b**2 - g*b**2 + b**2. What is v(w(f))?\nAnswer: 32*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 107950340263 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*a - 36*a - 2 = 4*s, -5*a - 109 = -16*s for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 57059815 to the power of 1\/2, to the nearest integer?\nAnswer: 7554","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v + 5*j = 163, -8*v + 27 = -184*j + 185*j + 2 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*(-73)\/(-438) + (-1)\/5 + 43\/15.\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 2*r + 16. Let w be d(-4). Factor 2*c**2 + w - 10*c - c**4 + 3*c - 3*c**3 + 19*c.\nAnswer: -(c - 2)*(c + 1)*(c + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*n**2 + 72*n**2 - 27*n**2 - 23*n**2 + 6*n**2.\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 124414370?\nAnswer: 2, 5, 313, 39749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lhll when four letters picked without replacement from eqlxeeehlehleqle.\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -153923174 and 7.3971?\nAnswer: 153923181.3971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/42 and 83\/10.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*i**4 + i**4 - 4*i**4 + 2*i - 2*i + i**4 + (0 - 2*i**2 + 0)*(2*i - 2*i - 2*i**2).\nAnswer: 8*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 87968*l + 2990905. Calculate h(-34).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 111 + 114645664?\nAnswer: 114646105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -35 + 22. Let p = o - -8. What is the closest to -0.1 in p, 1, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8 + 13. Let a(z) = -3*z - 4. Let q be a(-6). Suppose -c*u + 216 = -q. Is 23 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0055987698 rounded to three decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a**(-1\/3)\/a))\/(a\/(a**(3\/4)\/a)))\/(a**(-6)*a**(1\/5))*(a**(-1)*a**(-7\/5)*a)**(-2) assuming a is positive.\nAnswer: a**(581\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 9\/208?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 703411020 a multiple of 970?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 3*s - 3, 0 = -5*j - 2*s - 22 - 2. What is the units digit of (j\/8)\/((-2)\/8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 50 = -i. Let m = 25 - i. Is m a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1428 and 63.\nAnswer: 4284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 23.020569 months?\nAnswer: 1.91838075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2412003242 (base 5) to base 6.\nAnswer: -315322420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 202*q**3 - 633*q**3 + 200*q**3 + 198*q**3 + 46*q**3.\nAnswer: 13*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 399 - 396. Suppose -4537 = 3*p - 4*v - 30530, 4*p - l*v - 34655 = 0. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4460 = -12*v + 2*v. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*l**2 - l**2 + 0*l**2 + (-224*l - 107*l + 64*l)*(-5*l + 20*l + 24*l).\nAnswer: -10411*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.5, -2\/5, -16.8, -48?\nAnswer: -16.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-34)\/(-6) + (-57)\/(-9) + -7. Suppose -d*i + r + 17 = 0, -4*i + 4*r = -0*i - 4. Find the first derivative of -26 + a**4 - 14*a**4 - 6*a**i wrt a.\nAnswer: -76*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8783127388 - -0.1.\nAnswer: -8783127387.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 2*j**2 + j. Let l be v(-1). Let r = -71 - -105. Let q = r + -36. Which is the biggest value? (a) q (b) l (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the third derivative of s**7\/5 - 4*s**4\/3 - 33*s**2. What is the second derivative of v(m) wrt m?\nAnswer: 504*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 7960*n**3 + 3*n**2 + 5*n - 13. Is u(2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1660.9 - -1548. Let a = -113 - m. Let j = 3.6 - 9. Which is smaller: j or a?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**2 - 11*s + 26. Let z = -3 - -8. What is the least common multiple of v(10) and z?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 1397460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -42 - -44. Find the third derivative of -7*n**6 - 14*n**2 + 9*n**l - 14*n**6 wrt n.\nAnswer: -2520*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 20 + -32. Let d = 23.1 - 1.1. Let l = d - 24. Sort t, 3, l in decreasing order.\nAnswer: 3, l, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.12 - -0.12. Sort n, -0.1, 1\/9 in decreasing order.\nAnswer: 1\/9, n, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes after 9:18 PM?\nAnswer: 10:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (12 - 4)\/(-1) + 11243.\nAnswer: 3, 5, 7, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b - 3 - 3. Suppose -4*o - 4*m = 0, -b*o + 3*m + 12 = -6. Suppose u - 6 = 3*u, o*u - 6 = -3*y. Solve 0 = 5*q - 0*q - y for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-111*t - 1397*t - 923*t)*(-4*t**2 + 3*t**2 - 2*t**2).\nAnswer: 7293*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10111101 - -10?\nAnswer: 10111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1958 and -7308.\nAnswer: -9266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -21222 - -13231012?\nAnswer: 13203130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/2*42\/(-63)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -4*3*(-3)\/6. Is 2 a factor of (-2)\/i + 14\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*u = -23 + 5. Let t(i) be the second derivative of -1\/60*i**5 + 0*i**u - 1\/36*i**4 - 5*i + 0*i**3 + 0. Factor t(f).\nAnswer: -f**2*(f + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15445614 divided by -64626.\nAnswer: 239","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 16 = 4*v, -5*v + 0*l = -l - 28. Let h be (v\/(-4))\/((-1 + 0)\/2). Solve -t + h = 1 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 + (-1 - -4))*(50 + -51). Let z = 0.1 + -1.1. Let i = 1.9 + -2. Which is the second smallest value? (a) i (b) g (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -12, 1, 30, 81, 160, 273?\n\"Answer: d**3 + 2*d**2 - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -631054842 and 2.\nAnswer: -1262109684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -4*n + 1. Let r be 4\/10 - 2\/30. Let v be 0 + -2*(-1)\/8. Which is the biggest value? (a) r (b) n (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 162\/4 - (-9)\/6 and 8?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*y**3 - 5*y**3 + 58*y**2 - 29*y**2 - 21*y**3 + 9*y**3 - 28*y**2.\nAnswer: -21*y**3 + y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**3 - 4*s + 3. Let m(v) = v + 8. Let j be m(-6). Is 2 a factor of a(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 7*v + 2. What is the units digit of p(5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (7 + -4) - (6 + -11).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = -5*d + 45. Which is greater: -2\/35 or d?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -4*p**3 - 12*p**2 + p - 14. Let j(q) = q**3 + q**2 + 1. Let l be (-3)\/(-9) + (-2)\/(-3). Let a(k) = l*v(k) + 5*j(k). Let o = 14 - 7. Determine a(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-17 - 18 - 34)*(-i + 0*i + 3*i) + 2*i - 1 + 1)*(-9 + 2*i + 9) + 6*i**2 + i**2 - 2*i**2 to b*i**2 + v*i + y and give b.\nAnswer: -267","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) -0.5 (c) -4 (d) -3\/43\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -2*y. Suppose 16 = -10*x + 18*x. Let w(s) be the third derivative of -2*s**x + 0*s**3 + 0 + 0*s + 1\/8*s**4. Calculate w(f(n)).\nAnswer: -6*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -6, 2752 + 5180 = a + 3*d. Does 164 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19036946, 38073895, 57110842, 76147787, 95184730, 114221671?\nAnswer: 133258610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1560 and 43290?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/230 (b) -5 (c) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**3 + 2*w**2 + 4*w - 4. Let h be m(3). Let p be (-2)\/h + (-168)\/90. What is the nearest to -0.1 in -2\/5, p, -5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -15*a**5 + 7*a**5 - 9*a**5 + a**5 + a**5 - 3*a**5 - 2 - a**5 + 2 + (-a**3 - 3*a**3 + 5*a**3)*(2*a**2 + 0*a**2 - 4*a**2) + 0*a**5 - 3*a**5 + 5*a**5.\nAnswer: -19*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -3*y + 3, -3*y + 3 = -4*c + 8*c. Suppose p = -2*k + 13, 3*k + 0*k - 30 = -3*p. Sort p, y, 4 in increasing order.\nAnswer: y, 4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*t**2 - 117*t**3 - 3*t**2 + 240*t**3 - 119*t**3 - 3*t to the form u*t + s + g*t**3 + f*t**2 and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-29 - -9) + 18 + -13?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 206 + -204. Put i, 7, -4, 1 in ascending order.\nAnswer: -4, 1, i, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1*1\/3*0. Let w(s) = s**2 - 2*s + 5. Let x be w(u). Solve 0 = -2*j - 3*n + 7*n, -x*n = 4*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -24\/4517, 26, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 3 p when four letters picked without replacement from lpllyppllyypp.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 257288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**3 - 6*q**2 - 6*q + 2. Let s be t(-5). Suppose 5 - 38 = 93*m + 60. Let c = 6 + -6. Sort c, m, s in descending order.\nAnswer: s, c, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5.8 in -2\/13, 4, -2\/25?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*(a*a**(4\/3)*a)\/a)\/(a**(1\/9)\/a))\/(a**(-2\/5)*a)**(-29)*(((((a\/(a*a**(5\/6)*a)*a)\/a)\/a)\/a)\/a*a**(-2\/11))**(4\/13) assuming a is positive.\nAnswer: a**(129209\/6435)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 48577 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**3 + 3*d**2 - 4*d - 4. Let j be f(-2). Let o be -2*(3\/14 + j\/28). Calculate the common denominator of (940\/312)\/o - (-6)\/2 and -121\/6.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-15)\/35 - 220\/(-350))\/(9\/15). Let 5\/3*a - x*a**2 - 1\/3*a**3 - 1 = 0. What is a?\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(2\/3)*t)\/t)**(3\/32) assuming t is positive.\nAnswer: t**(5\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -197 - -192. Let d(j) = 4*j + 28. Let z be d(i). Solve -n - 2*n - 4*g = 14, -z = 4*g for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2022102011002 - -220?\nAnswer: -2022102010012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(22)\/(2*sqrt(11)) + sqrt(16)\/sqrt(2).\nAnswer: 5*sqrt(2)\/2 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (21 - 13 - 8) + 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 3*b = -5*x - 4, 20 = 5*b. Solve 2 = -r - x for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7.67833 or 0?\nAnswer: -7.67833","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**2 + 3*n + 7. Suppose 2*q - 3*p - 33 = 0, 2*q - 5*q - 2*p + 56 = 0. Let y = -24 + q. What is the tens digit of r(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**3 + 19*c**2 + 17*c - 16. Suppose -3*m - 38 - 7 = 2*g, 2*g + m = -39. Let h be l(g). Factor -2 - 15*f**2 + h*f**4 + f**3 + 10*f**2 - f**2 - 7*f.\nAnswer: (f - 2)*(f + 1)**2*(2*f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 3 = -5*w. Suppose -2*v - v = 6. Is (v - -16 - w)*1 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -52273437 - 0.03817485?\nAnswer: -52273437.03817485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-10)\/(-5) + 19\/(95\/4200)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**2\/10 - 774751*w\/5.\nAnswer: w*(w - 1549502)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 47838492 and 208?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 10101 (base 4) in base 14?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -4831*i + 21179*i + 10547*i + (i + 0*i + i)*(5 - 4 + 0) as z*i + h and give z.\nAnswer: 26897","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 2 = -2*w - 4*s, 13 = 3*w + 2*s. Let u be (w\/6 + -2)*-72. What is the highest common divisor of u and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 125\/6732 and 161\/10734174.\nAnswer: 21468348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**2 - 4*l - 11. Calculate n(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -10, -70, -130, -190, -250?\n\"Answer: -60*k + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 326*d - 56242 = -59*d - 41*d + 2546 for d.\nAnswer: 138","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 (base 6) in base 15?\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together -54 and 113.847.\nAnswer: 59.847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 3*p - 5 = -26, -20 = -4*p. Suppose -d - f*j = 11, 2*d + j = -j - 2. Suppose 5*a = d*a + 21. Calculate the highest common divisor of a and 231.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9*120\/72 - -2?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes after 11:57 PM?\nAnswer: 6:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1801719 is divided by 1453?\nAnswer: 1452","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1405425.9 rounded to the nearest one thousand?\nAnswer: 1405000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29600 is divided by 79.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -21*x + 3 - 5 - 95*x + 120*x as a*x + v and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 76*z**2 + 27 - 27*z**2 - 17*z**2 - 25*z**2 to the form x + u*z + b*z**2 and give b.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -122708110, -122708112, -122708114, -122708116?\n\"Answer: -2*f - 122708108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 4*x - x = 17, 0 = 2*i + 2*x - 6. Let n(d) = -2 + i*d - 1 - d**3 - 9*d**2 + 18 + 6. What is the units digit of n(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -5*g + 36. Let z be n(8). Let s(f) = f - 1. Let c(y) = 16740*y - 10. Let a(w) = c(w) + 6*s(w). Let x be a(z). Round x to the nearest 10000.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 5*a + 515. Let k be j(-103). Solve k = -61*r + 96*r + 175 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 - -1451?\nAnswer: 144a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12) + ((sqrt(192) - -2*sqrt(192)) + sqrt(192) - sqrt(12)))\/sqrt(4) + (2*sqrt(3) + 4)*1.\nAnswer: 4 + 18*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 711 is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the first derivative of 15*h**6 + h**5\/5 - 58*h**3\/3 - 3*h + 5. Find the third derivative of a(d) wrt d.\nAnswer: 5400*d**2 + 24*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1585974.\nAnswer: 2, 3, 13, 20333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2852270 and 160.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the second derivative of w**4\/6 + w**3\/3 - 125*w - 1. Factor r(p).\nAnswer: 2*p*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gqqqegqgqe. What is prob of picking 2 g, 1 q, and 1 e?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23724 is divided by 135.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1475*r - 91*r**2 - 1477*r + 93*r**2 - 392 to l*r**2 + i + p*r and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a + 3*a - 5*a - a + 0 + 0 - 2*a + 0 + 0 + 4*a - 4*a - 2*a + (0 - 1 + 2)*(2*a - 4*a + a) + a - 3*a + 4*a)*(27*a**3 - 44*a**2 + 44*a**2).\nAnswer: -135*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -2*j**2 - 24*j - 34. Let y be b(-5). Let l be 3\/y + (-1)\/(-4). What is the closest to l in 2\/25, 3\/4, 2?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -21 (b) 0.031 (c) 124\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3359\/3 in -2, -0.4, -31?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -10 + -3522?\nAnswer: -3532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-209*y**2 + 4*y - 3*y + 194*y**2)*(0 + 3 - 16).\nAnswer: 195*y**2 - 13*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 104 - 100. Let x(w) = -4*w + w + 0*w + j*w. Let g(z) = -2*z - 1. Determine -g(p) - x(p).\nAnswer: p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the second derivative of 2*w**7\/21 + 2*w**6\/5 - 13*w**5\/5 - 11*w**4\/3 + 16*w**3 + 40*w**2 + 1736*w. What is i in q(i) = 0?\nAnswer: -5, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the second derivative of k**4\/2 + 4*k. Let z(b) be the first derivative of 23*b**2 - 9*b**2 - 16*b**2 - 18. Determine c(z(g)).\nAnswer: 96*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*b**2\/3 - 50*b - 38\/3 = 0.\nAnswer: -1\/4, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 612? (a) -4 (b) 2\/3 (c) -2\/7 (d) 8\/7 (e) -24\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) 7535 (c) 291 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1856630 a multiple of 926?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -77, -80, -79, -68, -41, 8, 85?\nAnswer: 196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (-9 + 0 - -13) + -22\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 2*a**3 + 2. Suppose 3*q + 4*w - 15 = 2*w, 3*w + 9 = 0. Let d(x) = q - 5 - 12*x**3 + 3*x**3 - 13. Determine 2*d(g) + 11*m(g).\nAnswer: 4*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u - u. Let h = -78 + 83. Suppose u = 3*a - 3*t - 21, 0 = -a - 0*a + h*t + 27. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 22206 + -22205.9760196. What is w rounded to 4 dps?\nAnswer: 0.024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4598 and -0.3674.\nAnswer: -1689.3052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8.04 + 8.0398491. Round r to five decimal places.\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1426321601.9999604 - -1426322047. Let u = g + -445. Round u to five decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddiddididdiii. What is prob of picking 2 d?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.22? (a) -0.1 (b) 1\/8 (c) -5 (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/33334 and -23\/61906.\nAnswer: 433342","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 978282 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 27 = -v, -124 = -2*v + x - 25. Suppose -5*z = 5*f - f - v, f = -5*z + 43. What is the remainder when 15 is divided by z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -371 - -371.04. Is -0.094 less than or equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1289 + -1286. Let j be ((-4)\/(-6))\/(3\/(-18)). Put m, j, -6 in descending order.\nAnswer: m, j, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9*c**2*d**2 - c**2*d*x**3 + 6*c**2*d*x + 2*c*d*x**3 + 7*d**2*x**3 + 2*x**2 wrt d.\nAnswer: -18*c**2 + 14*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -12*y**3 + 154*y**2 - 3*y - 8. Let x(w) = -21*w**3 + 306*w**2 - 5*w - 14. Give -5*o(d) + 3*x(d).\nAnswer: -3*d**3 + 148*d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-16) + 73 + -73?\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (25\/150 - 62\/12) + 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1735 - 584?\nAnswer: -2430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (14 - 19)*(-9)\/(-5). Let d = 11 + v. Solve d*o = -3*x, 0*x = 4*o + 3*x for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.2 (b) -1 (c) 64\/3 (d) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**3 - 6*w**2 + 9*w - 5. Calculate a(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -4372756847353 and 0.1?\nAnswer: 4372756847353.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.9 and -114.24?\nAnswer: -102.816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -22.1 + 243.1. Let t = 221.212 - m. Round t to two dps.\nAnswer: 0.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**2 + k. Let n be b(1). Let z(a) = 0 - 2*a + 0 + n. Let x(q) be the first derivative of 2*q**3\/3 - 2. What is x(z(u))?\nAnswer: 8*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d + 15. Let o be p(0). Let z = o - 13. Let y be -2 + 1 + z + 0. Put 4, 3\/8, y in increasing order.\nAnswer: 3\/8, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**2 - m. Let r(o) = 2*o + 4. Calculate the remainder when r(3) is divided by x(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:26 AM and 9:03 PM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 556203.6 months to years.\nAnswer: 46350.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001066 rounded to seven decimal places?\nAnswer: 0.0000107","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 3*h + 19 = h, 4*j = -3*h + 29. Suppose -j*i + 3 = -2*i + 2*t, 6 = -2*t. Solve 12 = -a - 4*w, 0 = -i*a - 5*w - 7 - 8 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 138666856 is divided by 5243.\nAnswer: 5235","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -585*j**2 - 106*j + 7 wrt j.\nAnswer: -1170","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 4131946719+5\nAnswer: 4131946724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14 - (-9 + (-25)\/((-200)\/(-16)) - -4))*4?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11233 + 120?\nAnswer: -11113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -3*d**2 - 624*d + 4515 = 0.\nAnswer: -215, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 2*h**5 + 4232*h**4 + 243068*h**3 + 703832*h**2 + 695378*h + 230384 = 0.\nAnswer: -2057, -56, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -314*q**3 - 1 - 15*q**3 + 1.\nAnswer: -329*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*s + s - 5*r - 80, -5*s - 80 = 3*r. Let t be ((-1)\/2)\/(2\/s). List the prime factors of (78\/12)\/(2\/t).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10 + -10. Suppose -2*t + 0*t - 10 = z. Suppose 0 = -23*s + 72 - 164. Which is the third smallest value? (a) t (b) s (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (35\/35)\/((-1)\/4).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2*i + 1)*(8 - 28 - 59) + (0*i + 0*i - i)*(-3 + 1 + 1) - i + 0*i + 2*i.\nAnswer: 160*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 120*x - 74*x - 705 = 169 for x.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*u - 2*u - 65 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.2 less than -5\/84?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 995?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 7142011 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -5*l - 7 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -602\/1943 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(5*sqrt(3)*-3 + -1*sqrt(3)*-6 + -3 + 0 + sqrt(432) + 0))**2*-6.\nAnswer: -5400 + 2700*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -156 - 158 - 154 + 468 + 21*g**3.\nAnswer: 21*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 118*p**3 + 9*p**2 - 4*p + 16. Let c be v(13). Let z = c + 322269. What is z rounded to the nearest 10000?\nAnswer: 580000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 327 in 1, 5\/3, 309?\nAnswer: 309","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -6*p**3 - 4*p**2 + 7*p. Let v(b) = 17*b + 29. Let k be v(-2). Let z(i) = 7*i**3 + 5*i**2 - 8*i. Calculate k*z(y) - 6*m(y).\nAnswer: y**3 - y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s**4\/3 + 62*s**3\/3 - 1900*s**2\/3 - 6528*s + 138240 = 0.\nAnswer: -45, -18, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/(-36)*-6 + 8856 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5554 - 5330. Calculate the greatest common divisor of 22 and y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 13 - 52)*((-h - 2*h + 0*h)*(0 + 0 + 2) + 40*h - 60*h - 5 + 4).\nAnswer: 1066*h + 41","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1878698*p - 1878800*p + 7956 for p.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 58\/99 and 62\/548163.\nAnswer: 548163","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*o = -122 + 136 - 134 for o.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**4\/2 + 781*t**3\/2 - 4749*t**2\/2 - 21249*t\/2.\nAnswer: t*(t - 9)*(t + 3)*(t + 787)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/5*60\/8 + 1. Let j = n - 1. Let p(c) = c**2 + 9*c + 11. Determine p(j).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3178391 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 4*a + 5, 0 = -a + n - 2 + 6. Suppose -2*b = -3*b - 11. Calculate the remainder when 21 is divided by (-4 + 3)*b\/a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4 - -6*1\/2. Find the third derivative of 6*p**2 + 6*p**2 - 8*p**2 - d*p**6 wrt p.\nAnswer: -840*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w = 4*p + 24, -8*p = -9*p - 5*w - 22 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1488, -0.27, 11?\nAnswer: -0.27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -a + 12, -5*o - 5*a = -340. Let w = 25 + -6. Suppose -4*z + w = -17. What is the greatest common factor of z and o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -36549, -36551, -36555, -36561, -36569, -36579, -36591?\n\"Answer: -t**2 + t - 36549","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*t**5 - 780*t**4 - 762*t**3 + 3876*t**2 - 2331*t = 0. Calculate t.\nAnswer: -259, -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - 111 - (-4 + (-39 + 18 - -30)) - 13?\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-114)\/21*1\/5 - (-16)\/20.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18) - (-2*sqrt(198) + sqrt(198) - sqrt(198))\/sqrt(11))\/sqrt(9).\nAnswer: 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k - 2*f - 20, -3*f + 2 = 2*k - 6*f. Solve -2*q + 4*l + 3 = -k, 5*q - 25 = -2*l for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3989 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 15461.4384 to the nearest 100.\nAnswer: 15500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-2\/25))**(-3\/13))**(-50) assuming h is positive.\nAnswer: h**(-12\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**3 - 10*b**2 - 8*b + 12. Let w be k(-9). What is the second derivative of 88 - 66 + 0*y - 21*y**5 + w*y wrt y?\nAnswer: -420*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = m + 8*t - 5, 2*m - 4*t = 10. Let k = 4 - 2. Let d(w) = -3*w + 9. Let q(n) = 10*n - 26. Let v(b) = k*q(b) + 7*d(b). Determine v(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 28 + 38. What is the remainder when n is divided by 35?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -530384, -1060768, -1591152?\nAnswer: -2121536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -8\/5, 5, -0.21, 0.09?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.558151 kilograms in nanograms?\nAnswer: 3558151000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**2 - 2. Let g(q) = 6*q**2 - 5*q + 4. Let l(i) = -17*i**2 + 14*i - 12. Let x(d) = -11*g(d) - 4*l(d). Let h(p) = 7*v(p) + 3*x(p). Factor h(k).\nAnswer: -(k + 1)*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1008) + (sqrt(1008) - (sqrt(1008) + 2)) - sqrt(1008))**2 + sqrt(1008) + -1 + -2.\nAnswer: 1 + 12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the third derivative of 41*z**4\/4 + z**3\/3 - 2297*z**2. Let q(w) = -7*w. Give q(a(d)).\nAnswer: -1722*d - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - ((-2 - -8) + (-16 - -15))) + 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from akuguauu. Give prob of sequence uka.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 656946196 to the power of 1\/8, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -34 - -36. Suppose o = d + i, 0 = o - 3*d - 2*d + 6. Solve w = o*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*t**2 - 1830066*t + 332740 = 0. Calculate t.\nAnswer: -83185, 2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, -1424, -137.3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z when three letters picked without replacement from {z: 5, r: 3}.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -413*t - 2*h + 41 = -210*t - 208*t, -3*t + 43 = 4*h for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -44. Let r(w) = 63. Let q(v) = -10*b(v) - 7*r(v). Let x(k) = -5 + 6 + 6 - 2*k. Suppose 0 = -3*o - 15, -3*u - 52 = 5*o - 9. Calculate u*q(s) - x(s).\nAnswer: 2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 76368 and 2331.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 14 or 473\/34?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the third derivative of b**6\/360 + 7*b**5\/120 + b**4\/12 + 13*b**3\/2 - 2*b**2 + 18. Let a(c) be the second derivative of g(c). Give a(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15317023 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60886502?\nAnswer: 2, 89, 342059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 289 + -153. Suppose 0*c + 5*n = 3*c + r, -4*c = -n + 153. Let u = 20 - c. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -42, 10, 0, -3, 5 in decreasing order.\nAnswer: 10, 5, 4, 0, -3, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 224 and 686?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -36.7 + 37. Which is the nearest to 0? (a) -1\/6 (b) 0.5 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 339 and 3842?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**3 + 9*j**2 + j + 1. Let h be l(9). Let g be (-1154 - -6)\/4 + (-3 - 1). Let p = -161 - g. What is the highest common factor of p and h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 44*i**3*n**2 - 2*i**3 + 14*n**2 - 370*n + 309130 wrt n.\nAnswer: 88*i**3*n + 28*n - 370","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 242 + -240. What is the second smallest value in 0.12, 0, l?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -126 + 122. Let a = 5 - b. Suppose -5*n = -n - 36. What is the highest common factor of n and a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1150164 (base 9) to base 16.\nAnswer: 9834a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -26, -130, -302, -542, -850, -1226, -1670?\n\"Answer: -34*z**2 - 2*z + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5387799026.\nAnswer: 2, 277, 9725269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k + 1. Let a be (-7)\/14 + (-1)\/2. Let y(s) = -5*s - 2. Let d be 10 + 5\/(-1) - 9. Let c be d\/(-18) + 609\/(-189). Give a*y(b) + c*h(b).\nAnswer: 2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -3*a + 12, -4*h + 0*h + 4*a = 0. Let l(i) be the second derivative of 0 + 2\/9*i**h - 1\/27*i**3 - i - 1\/54*i**4. Factor l(w).\nAnswer: -2*(w - 1)*(w + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -99493 + 194916. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the second derivative of 5*t**7\/42 - t**5 - 5*t**4\/6 + 5*t**3\/2 + 5*t**2 + 9*t. Solve y(n) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(847) + sqrt(847) + -1 + 1)**2 + sqrt(847) + -1 + -1)*6.\nAnswer: 66*sqrt(7) + 20316","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ona. Give prob of picking 1 a and 1 n.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14 - 6. Let j be 44\/16 - (-2)\/h. Solve -v = -o - 0*o - j, -4*o - 6 = -v for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -40 divided by 43?\nAnswer: -40\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and 818.\nAnswer: 1636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -39 - -118. What is the tens digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -91\/354, -4\/5, -3\/8?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(1\/4)\/m)\/m*m**8\/m assuming m is positive.\nAnswer: m**(21\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 39 + -27. Suppose -228 - 422 = -26*l. Suppose 4*i - m = 2*w, -i - 3*w + l = 2*w. Let a(k) = k**3 - 5*k**2 + 2*k - 3. Calculate a(i).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -4*b - 5*h - 4, -3*h + 6 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 91 a factor of 39085?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 2184322*g - 1 + 2184321*g.\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m + 1 - 1)*(0*m**2 - 3*m**2 + m**2) + (-m - 2*m + 4*m)*(-4*m**2 - m**2 + m**2) - 6153*m - 25*m**2 + m**3 + 6153*m.\nAnswer: -7*m**3 - 25*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 323403 from -0.5.\nAnswer: -323403.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1 (b) 2\/9 (c) 2464\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**3 + 3*y**2 - 6*y - 8. What is m(-5)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1560 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 14) in base 11?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**2 + 37*x + 78. Calculate the remainder when 204 is divided by r(-36).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 43*v - 109*v + 58*v + 40 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes before 12:12 PM?\nAnswer: 3:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the third derivative of q**8\/336 - 9*q**5\/20 - 15*q**2. Find the third derivative of u(x) wrt x.\nAnswer: 60*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -229109, -229045, -228931, -228761, -228529, -228229?\n\"Answer: x**3 + 19*x**2 - 229129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 306 = 76*z - 150 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5209*a + 213920000 = -5217*a. Round a to the nearest 1000000.\nAnswer: -27000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/25? (a) 2\/3 (b) -4 (c) -4\/37 (d) -494\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2582278501.6 - -2582278293.59998726. Let p = -208 - x. Round p to 6 dps.\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0\/(5 + (3 - 7)). Suppose h = 4*k + j + 171 - 430, -284 = -4*k + 4*j. Let y = k + 227. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 2*x**2 + 1)*(-2*x + x + 3*x) + (-1 + 0 - 1)*(-3*x**3 + 0*x + 0*x) as g*x**3 + h*x + a + q*x**2 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 + -2. What is the derivative of 0*d**2 + 0*d**q + 4*d**3 - d**3 - 1 wrt d?\nAnswer: 9*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6906648 and 140952?\nAnswer: 6906648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 228*d**2 - 9*d - 6. Is x(-5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-five sixths of a day in minutes?\nAnswer: 13200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*i**3 + 142 - 142 - 23*i**3 - 16*i**3 - i.\nAnswer: -39*i**3 - i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 79, 213, 369, 565, 819, 1149, 1573, 2109?\nAnswer: 2775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 273*o - 61. List the prime factors of k(4).\nAnswer: 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the first derivative of -j**4\/4 + j**3 + 5*j**2\/2 + 3*j + 1. What is the least common multiple of 4 and k(4)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(-15)*(-58)\/((-696)\/(-180))*-17?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*b + 17*b = -t + 16, 28 = -4*t + 3*b for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b - 10 = 7*i - 8*i, 4 = 2*b + 4*i for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13637365?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -873*u + 879*u - 30 = 0. Let l be 3\/(12\/16) - 6. What is the second biggest value in 3\/2, l, u, 0.1?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the first derivative of -2*l**5 + 2*l**3\/3 + 20*l + 179. Differentiate q(d) wrt d.\nAnswer: -40*d**3 + 4*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -365 and 1.\nAnswer: -365","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 618 - 614. Let i be s\/(-22) + 24\/132. Factor 0 + 2\/13*c**5 + i*c - 10\/13*c**3 - 2\/13*c**4 - 6\/13*c**2.\nAnswer: 2*c**2*(c - 3)*(c + 1)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qpppqqqqppppq. What is prob of sequence pqpq?\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 - 4. Suppose t*g = -g + 45. Solve i - g = -4*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/20 - 2 - ((-480)\/64)\/(-15).\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -195 - -199. Factor 53 - 143 - 7*f + 4*f**4 + f**g + 65*f**2 + 22*f - 35*f**3.\nAnswer: 5*(f - 3)**2*(f - 2)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 5) to base 3.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 273 and 498069?\nAnswer: 3486483","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1380380934 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 12, 2*w + 2*w = -4*a - 1796. Let c(x) = 39*x + 12. Let g be c(-7). Let r = g - a. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2275182\/67392 + (-9)\/96?\nAnswer: 101\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 35*n - 13. Let a(c) = -2*c + 2. Give -7*a(k) - p(k).\nAnswer: -21*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**3)**(-33))**(-23\/5) assuming t is positive.\nAnswer: t**(2277\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -89.9 + 90. Which is the smallest value? (a) -0.4 (b) i (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 864 and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -6*k + 42. What is the remainder when n(-10) is divided by (7 - (-23)\/(-3))*(-42)\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 177 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 2*o**2 - 12*o + 1. Let m be a(6). Find the second derivative of 4 - 2 - 138*t**2 - 180*t**2 + 62*t**2 - m + 224*t wrt t.\nAnswer: -512","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/5 of a centimeter?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 11) to base 13.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 5*s**4 - 2*s**4 + 5*s**4 + 7*s in the form a*s + n*s**2 + f*s**3 + x*s**4 + p and give a.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-180)\/(-315) - (1 + 78\/14). Let s(b) = b - b + b + 0. Let n(m) = 2*m - 13. Let f(t) = d*s(t) + n(t). Differentiate f(w) wrt w.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.8 - -0.3. Let u = 1.1 + -5.1. Let k = -2 - u. Put t, -0.3, k in descending order.\nAnswer: k, -0.3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 + 2. Let z(f) = -f**2 + 3*f - 1. Let m(c) = -c**2 + 3*c - 2. Let r(p) = p - 28. Let v be r(22). Let t(l) = v*z(l) + 5*m(l). What is t(d)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (-26 - 1 - (-9 - (-41 + 5 - -19)))?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 3 + 22 = 0. Let t(x) = -12*x + 18*x**2 - 12*x**2 - 3*x**2 - 26. Let i(a) = -a**2 + 4*a + 9. Let g(r) = 11*i(r) + 4*t(r). Calculate g(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2299 to the power of 1\/2, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -4) + (-13 - -9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 120106277 to the power of 1\/2, to the nearest integer?\nAnswer: 10959","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a decade in months?\nAnswer: 450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*c + v, 0 = -c + v - 0 + 1. Suppose -p - 3 = 0, 50 + 4 = 3*q + 3*p. What is the highest common divisor of q and c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes before 4:24 PM?\nAnswer: 11:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/1545984 and 11\/312.\nAnswer: 20097792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + k - 18 = 0, 0*p + 5*k - 38 = -p. Suppose 11*m + 60 = p*m. What is the tens digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 81599999 = -b, 3*i - 26616897 = -b + 34583102. Round i to the nearest 1000000.\nAnswer: 20000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1790*z**2 - 2277*z.\nAnswer: 3580","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/(-8) + 6622\/(-40) + 0. Let h = 165 + i. Sort -1\/8, h, -3.\nAnswer: -3, -1\/8, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -105270 to the nearest one thousand.\nAnswer: -105000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3018 + 1636. Let l = t + 1946. Does 46 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (114 + 109 - 91)*(-2 + 2 - 2*j**3) - 2 - 3*j**3 + 2.\nAnswer: -267*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -10*m. Let f(h) = 2183*h**2 - 364. Calculate f(i(x)).\nAnswer: 218300*x**2 - 364","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 102*v**3 - 7*v**2 - 2*v + 5822 wrt v?\nAnswer: 612*v - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 702900 rounded to the nearest one hundred thousand?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 107 - 107. Solve i*p - 4*p = 16 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -85441 - -149352. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o - 0 + 6. Let a(v) = -35001*v - 2. Let p be a(o). Round p to the nearest 100000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4, 35769, -60, -0.4?\nAnswer: 35769","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10062135569 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 - 2*q - 2 + 4 + 2*q - 2*q - 2*q - 3*q + 4*q + 0*q + q - 2 + 2 + (5 - 3 - 4)*(2*q - 5*q + q).\nAnswer: 2*q - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 805214 - 805208 = 5*f + 4*k - k, -f - 38 = -5*k for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 57468 to the power of 1\/2, to the nearest integer?\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the second derivative of -1\/20*b**5 - 5\/2*b**2 - 7\/12*b**4 - 9*b - b**3 + 0. Let p = -209 + 203. Give w(p).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2112 (base 6) in base 4?\nAnswer: 13130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.1 (b) -33 (c) -0.3 (d) 3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, 5\/2, -0.1, -190, -1.4?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3\/14 and -115\/9716?\nAnswer: 9716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2309832 and 118944?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 12*w + 53*w**2 + 3 + 10*w + 2*w.\nAnswer: 53*w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 307120789 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -33\/20 and -71\/4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*y = 14*y - 1725. Suppose 3*h - 8*h = -y. What is the remainder when h is divided by 35?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes before 9:20 AM?\nAnswer: 4:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 6*l = -51. Calculate the remainder when (25 - -1)*(1 + (-21)\/(-14)) is divided by l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u - 5*t = -4*u + 110, 4*u - 3*t = -246. Are -60 and u equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10208, 10187, 10166, 10145?\nAnswer: 10124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.87 - 64.13.\nAnswer: -61.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -20198.9 - -20199. Which is the nearest to -44? (a) 7 (b) -4 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-9)\/(-2) - 1\/(-2). Let r = 289 - 286. Let u(z) = r*z + z - q*z. What is u(5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes after 3:56 PM?\nAnswer: 6:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes after 4:50 PM?\nAnswer: 9:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 323?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + -1 + 0 - -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 326260, 652507, 978754, 1305001, 1631248, 1957495?\nAnswer: 2283742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 48948, 48951, 48954?\n\"Answer: 3*m + 48945","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 493295290?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -12, -7, 10, 45, 104, 193, 318?\n\"Answer: w**3 - 2*w - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(605) - sqrt(605))*-6*-6 + -4.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -2*g**5 + 8080*g**4 - 9449504*g**3 + 2489007196*g**2 + 2517396130*g - 4996961900 = 0.\nAnswer: -2, 1, 371, 1835","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 948 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is a in a**4\/4 + 2323*a**3\/4 + 895089*a**2\/2 + 112734145*a - 1295005118 = 0?\nAnswer: -778, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**2 + 5*j - 145. Let r be x(10). Suppose r*w - 20 = -2*n, -8 = -2*w + 6*n - 11*n. Solve 2\/3*u**5 - 4\/3*u**3 + 0 + 0*u + 2\/3*u**w + 0*u**2 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 693524?\nAnswer: 2, 13, 13337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 259*s + 2391 - 2537 = -7657 for s.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 + 9. Suppose -5*g = -i - 55, -5*i + l = 2*g - 20. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 3*c - 96 = -0*c, 2*u - 66 = 3*c. Let a = 40 - u. Is 4 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4593664874 less than -181?\nAnswer: -4593665055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the second derivative of 7*q**5\/20 - q**4\/12 + q**3\/2 + q**2\/2 - 12*q. Let g(k) = 3*k**3 + k. Let p(w) = -5*g(w) + 2*r(w). Factor p(y).\nAnswer: -(y - 1)*(y + 1)*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.3 (b) 2\/11 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -8*s - 3. Let f(m) = -8*m - 3. Let r(j) = 7*f(j) - 6*n(j). Let a(h) = 9*h + 4. Let k(p) = -4*a(p) - 3*r(p). What is the derivative of k(i) wrt i?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, 3, 0.08.\nAnswer: -14, 0.08, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -9*y + 1434. What are the prime factors of y?\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4661\/3894 + 24\/(-66) - ((-32)\/12 - -3)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53155*x + 427 = 53216*x for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41 + 41 - 12*j.\nAnswer: -12*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 9*q**4\/4 + 1851*q**3\/2 + 349443*q**2\/4 + 1478451*q\/2 + 236736 = 0?\nAnswer: -274, -128, -9, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111 + 100100101111?\nAnswer: 100100101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1.423 times 12\nAnswer: 17.076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**2 + o - 12. What is n(-5)?\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -126 + 127. Let s(d) = 630*d**3 + d**2 + d - 1. Is s(b) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d = -8*d + 15. What is the tens digit of (1 - (-3)\/d)\/((-3)\/(-320))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 6*g**3 + 23*g**2 + 6*g + 2. Does 73 divide i(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**3 + x**2 - x - 1. Suppose 2*m + m - 2*b = -107, -5*m - 173 = 2*b. Let o be 2*(m\/10 - -3). Let h be o - 0\/(4\/4). What is y(h)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 697473223 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 - 60)*12\/(-30). Let t be 3*-4*(-4)\/f. Solve -t = -v - 3 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -8*u + 20. Let o(g) = -8*g + 7. Let t(y) = -4*y + 3. Determine u*o(l) - 9*t(l).\nAnswer: 4*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k + 2*k + 7. Let n = k + 29. Suppose 94*q - 396 = 82*q. What is the greatest common divisor of q and n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 326*i - 21. Let d be k(5). Suppose 5*q = 846 + d. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 2283 + 2256 - 40*p - 4563 + 256*p. Let x(w) = -43*w + 5. Determine -5*a(u) - 24*x(u).\nAnswer: -48*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 18864000 rounded to the nearest 100000?\nAnswer: 18900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 116593059 to the power of 1\/3, to the nearest integer?\nAnswer: 489","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes after 4:00 PM?\nAnswer: 8:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 558?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 2*y**2 - 41*y + 307. Let o be s(13). Solve 0 = 124*a - o*a + 12 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 129 - 60 - 72 + v. What is j(1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 33*n**3 + 4*n**2 - 4*n - 8. Is y(5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 4*a**2 + 58*a + 124. What is the hundreds digit of w(-32)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y\/y**(-1))\/y)**(-6\/5)*y**(-4)*y\/(y**(-2\/9)\/y) assuming y is positive.\nAnswer: y**(-188\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -379, -3045, -10281, -24373, -47607, -82269?\n\"Answer: -381*x**3 + x**2 - 2*x + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4840499?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z, 1 i, and 1 j when four letters picked without replacement from jzjziiznzn?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 9 = 8*f. Let r be -13 - ((-1)\/1 + 0). Let b = r - -19. What is the remainder when b is divided by f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = q - s + 53, 4*q + 3*s = -31. Suppose -6*j + 240 = 9*j. What is the least common multiple of j and (4\/q)\/((-4)\/100)?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1008786 is divided by 359?\nAnswer: 355","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/(-14))\/((-174)\/1624)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9\/17 - 1\/34. Suppose -s + 5*s = -4*i + 20, -5*i + 17 = -3*s. Let r be (i - 7\/2)*-5. Put g, r, -2\/7 in increasing order.\nAnswer: r, -2\/7, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (21*88\/154)\/((-1)\/2*3).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -210*m**2 + 148*m**2 - 1133*m**2.\nAnswer: -1195*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 25410?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the first derivative of -4*t**3\/3 - 4*t - 51. Let x(v) = -11*v**2 - 11. Calculate -8*k(h) + 3*x(h).\nAnswer: -h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(60)\/sqrt(3) - sqrt(20)) + sqrt(20))\/sqrt(4) + ((-1 + sqrt(20))**2 - sqrt(20)))*5.\nAnswer: -25*sqrt(5) + 105","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3588?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 - (0 - (-18)\/(-10)). Let u = -1\/125 - -379\/500. Which is the closest to -0.1? (a) o (b) -0.1 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -97 divided by -1583147?\nAnswer: 97\/1583147","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t + 3*u = -9, -5*t - 13 = -2*u + 3*u for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 247 + -29889\/121. Suppose 35 = -6*c + 41. Is c equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1074198.2 and 5.3.\nAnswer: 1074203.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -5*s + 19. Let m be i(10). Which is greater: -32 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o + o + o)*(85*o**4 + 304*o**4 + 456*o**4).\nAnswer: 1690*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 4*j - 1032 = 0, s + 4*s - 5091 = 3*j. Let c(h) = -s*h**2 - h + 1009*h**2 + h. Let f(i) = -2*i**2. What is c(f(r))?\nAnswer: -44*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 10*z. Let i be b(-1). Is (i\/(-30))\/(1\/345) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2\/855 - 4102\/855. Find the common denominator of 2*(645\/(-96) - -4) and z.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/2*4)\/(((-351)\/(-36))\/(-39))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5561*o + 53851 = -92386 + 863606 for o.\nAnswer: -129","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x - 8 = 2*n, -4*x - 2*n - 18 = -4 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v - 0*v. Let g(l) be the first derivative of 1\/3*l**3 + v*l**2 + 2 - 2*l. What is the first derivative of g(h) wrt h?\nAnswer: 2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 71118 to the nearest integer?\nAnswer: 267","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 404267297 a multiple of 304?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 + 2 = -6*c. Let u be (c - 15) + 4 - 1. Let j = 21 - u. Does 7 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.5, 2\/15, 92?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8246*z + 1855 - 133741 = -6408*z for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 l, and 2 n when four letters picked without replacement from gplllnlglnpllnp?\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -266008822 or -266008821?\nAnswer: -266008822","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4900?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 1, 3, 4, -130, 5, -3555 in descending order.\nAnswer: 10, 5, 4, 3, 1, -130, -3555","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m + 3*m - 3*m)*((5 + 2 - 2)*(-2 + 5 - 2) + 2 - 3 - 1 + 3 - 4 + 4)*(3*m - 3*m + 2*m)*(17 + 0 - 1).\nAnswer: 384*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*b**3\/2 + 27*b**2\/2 + 3*b = 0 for b.\nAnswer: -2\/11, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -4*k**2\/9 - 346676*k - 3120080\/9 = 0.\nAnswer: -780020, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 21*d**2 + 3*d. Let x(n) = 5*n**2 - 3*n + 4*n + 2 - 2. Let j(s) = -2*a(s) + 9*x(s). What is the second derivative of j(i) wrt i?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/15 (b) -11 (c) -3\/7 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4766 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xmm when three letters picked without replacement from {t: 2, f: 1, m: 1, x: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**2 - 6*g. Suppose 4*k = 11 - 3. Suppose -k*a = -3*a - 5. Is t(a) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**2 - 28*s - 70. Let g be t(-26). Let r be (-6)\/(-27) + (-20732)\/g. Suppose -417 = 15*h - r. Is 6 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -2*j - 160. Let z = j + 74. Calculate the lowest common multiple of 18 and z.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -3*k**3 + k**2 - 1. Let w be o(-1). Suppose w*d - 2 = 2*d. Find the third derivative of 2*f**2 + 2*f**5 - 4*f**d + 0*f**5 wrt f.\nAnswer: 120*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.136 (b) 0 (c) 0.07 (d) 7 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-6) - 3\/(-9)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l + 1. Let m be h(-3). Suppose i = 3*i - m. Solve -i*c + k - 13 = 2, 0 = -3*c - 5*k + 10 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4391 = -3*r - 4*u, 9*r - 4*r + 4*u = 7321. What is the thousands digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -33.971 + 12.66. Let f = d + -0.089. Round f to the nearest integer.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 7973*g**3 - 4 + 3 - 8158*g**3.\nAnswer: -185*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 759*o**2 + 85*o + 10. What is the ten thousands digit of c(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a (base 13) in base 2?\nAnswer: 1010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 45 by -1.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 50e4 - 81?\nAnswer: 5063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 3, s: 2, z: 7, v: 1, o: 6}. What is prob of sequence dsv?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 + 6. Suppose 2*q - 22 = -3*z, b*z = -0*z + 4*q - 12. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times -688\nAnswer: 275.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58978.\nAnswer: 2, 37, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (11519991\/(-12))\/(-3) + (-1)\/(-4). What is o rounded to the nearest one hundred thousand?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 93 = -4*g, -k + 2*g = k - 38. Let l = k + -5. Solve -2*x + l = x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*l + 26 = 5*l. Let v be (1\/((-1)\/(-3)))\/1. Factor -9*g + 2 + 7*g**l - 2*g**v - 3*g**2 + 3*g + 2*g**2.\nAnswer: -2*(g - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxxprppppbd. Give prob of picking 1 d and 2 p.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from blllbllbbb?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 56700 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/19 - ((-2160)\/(-95))\/12?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3342512?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2) + -1 + 1 - (0 + sqrt(2) + -2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 1 + -3 + 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**3 - 15*m**2 + 38*m + 56. Let h be a(-17). Let x(u) = u - 1. Let t(w) = -3*w + 4. What is h*x(s) - 3*t(s)?\nAnswer: -3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -466, -1118, -2128, -3508, -5270, -7426, -9988?\nAnswer: -12968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (53*64\/13568)\/((-3)\/(-6)*9).\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11614 - 1371. What is the tens digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*m**5 + 564*m**4 - 4293*m**3 - 4860*m**2 = 0. What is m?\nAnswer: -1, 0, 9, 180","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 21*h**2 - 3*h + 3. Let w(n) = 43*n**2 - 5*n + 5. What is -5*m(f) + 3*w(f)?\nAnswer: 24*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -310825, -311014, -311323, -311746, -312277, -312910?\n\"Answer: l**3 - 66*l**2 + 2*l - 310762","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from wywnjj?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10 - 16. Suppose 2*a + 3 = -5. Let r = a - g. Solve 4*y + 22 = t + 1, -26 = 4*y - r*t for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -136*q - 3120 = -149*q. Suppose -q = -16*f - 44*f. Solve -f*t + 4*c = 2*c + 18, 0 = 5*c + 5 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z. Suppose 0*f + 4*f = 8. Let p(s) = 13*s - s**f - 13*s. What is p(d(o))?\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4 (b) -5 (c) 3 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -237043.35 to the nearest 1000.\nAnswer: -237000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 2*g**2 - 2*g. Let i = 8 + -10. Suppose -62*q + 2*z - 34 = -64*q, 4*z = 4*q - 44. What is the least common multiple of q and u(i)?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 4*u = -2*l - 2, 4*l - 11 = -u. What is the smallest value in 3, 0.2, l?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 157, 145, 129, 109, 85, 57?\n\"Answer: -2*b**2 - 6*b + 165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -788248.0029 + 788300. Let b = i + -52. What is b rounded to 3 dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -3580400?\nAnswer: -1\/1790200","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -5, -2*x + 16 = 4*j - 356. Calculate the greatest common factor of x and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (4 + (sqrt(637)*-2 - sqrt(637)))**2 + (sqrt(13) + -3 + sqrt(208))*-3.\nAnswer: -183*sqrt(13) + 5757","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -210052142 - 423?\nAnswer: -210053005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/468 and 97\/1092.\nAnswer: 3276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1042986 or 0.05?\nAnswer: -1042986","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -10450 + 44?\nAnswer: -10404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 - 5 + 2)*(-2*o**3 + o**3 + 6*o**3).\nAnswer: -55*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -27.54 - -23.4. Let i = v - -6.14. Let w be (-10)\/9 - (-2 - -1). Which is the biggest value? (a) 3 (b) i (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (9\/(-4))\/((-6)\/32). Suppose 0*u + n = 3*u. Is u equal to 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 228303 divided by 219\nAnswer: 76101\/73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 42 = 5*x, 0*x - 4 = m + 2*x. Let y be (m\/(-14))\/((-42)\/(-49)). Which is the nearest to y? (a) -0.3 (b) 0.4 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -6673*h - 60102. Give u(-9).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 + 9. Solve 0 = g*i - 1 - 9 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79 = -5*z + 61. Let d = z - 18. What are the prime factors of d?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-50)\/280)\/((-1190)\/(-833))*6*(-6)\/201.\nAnswer: 3\/134","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*t - 2*t**3 + t**3 - 150*t**2 + 23 + 138*t**2 - 26 in the form i*t**2 + d*t**3 + h*t + m and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*t**3 + 0*t**3 - 3*t**3 + (0*t + 3*t - 4*t)*(t**2 - 2*t**2 - t**2) + 4*t**3 - 3*t**3 + t**3.\nAnswer: 3*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 113, 111, 109, 107, 105, 103?\n\"Answer: -2*r + 115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(13) + 2 + -3 + 0.\nAnswer: -6 + sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 174818 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + a = -57, -a + 9 = 2*a. What is the remainder when (-339)\/(-6) + (-1)\/(-2) is divided by v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (40*h**3 - 211 + 211)*(10*h - 6*h**2 - 10*h) + 2*h**5 + h**5 - h**5.\nAnswer: -238*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1, 3, -37.\nAnswer: -37, -2, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*((p\/((p\/(p*p**(1\/4)*p))\/p))\/p)\/p)\/p)**10 assuming p is positive.\nAnswer: p**(25\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 9, 14, 23, 36, 53, 74, 99?\n\"Answer: 2*q**2 - q + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -23095*z**3 - 2*z**2 - z + 9. Let l be x(2). Let j = 358239 - l. Round j to the nearest 10000.\nAnswer: 540000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11110100 (base 2) in base 4?\nAnswer: -3310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -2021302.3 to the nearest 100000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 889, 950, 1061, 1228, 1457, 1754?\nAnswer: 2125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -d + 39, 2*j + 131 = 3*d + 44. Suppose f = -4*r + d, 0 = 4*f + 5*r - 46 - 18. Solve -3*k + f = 4*b - 14, -8 = -4*k + b for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -133 + 140144?\nAnswer: 140011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/18 + (-190)\/(-45). Suppose 0 = -4*x - c + 235, -2*x = -m*c - 136 - 4. Suppose x = 5*w - 0. Does 12 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 135 - 92. Suppose -7*o + 118 = -w. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve d + 4 = 3*i, -4*i - 2*d - 10 = -2 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, -3, -2, -4, 12, -545, 15 in increasing order.\nAnswer: -545, -13, -4, -3, -2, 12, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -54*f**2 - 212*f + 527. What is l(2)?\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p + 5. Let h(i) = 16*i - 31. Let r(f) = 5*b(f) + h(f). Let y(s) = 6*s - 3. What is -4*r(u) + 7*y(u)?\nAnswer: -2*u + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 17 - 20. Let n be (b\/9 + 0)\/(5\/30). Let u(i) = i**2 + 5*i + 3. Let v be u(-3). Sort v, n, 0 in descending order.\nAnswer: 0, n, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -14*f + 47. Let h be b(4). Sort h, 2\/5, -2.\nAnswer: h, -2, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -21, 2, 4, -1?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -28724, 140, 0.4?\nAnswer: 140","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -23.6 + 24. What is the nearest to 1\/4 in k, -0.1, 31?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 35*n**3 + 2535*n**2 + 17865*n - 184275.\nAnswer: 5*(n + 15)*(n + 63)*(7*n - 39)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 2*l**3 - 24*l**2 + 109*l. Calculate h(6).\nAnswer: 222","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1831 from -2.\nAnswer: -1833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 44 and 560?\nAnswer: 6160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 13 + 4 = 0. Let w = t - -11. Solve -5*j + c + 20 = 0, -3*j + 4*c + 5 = w*c for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5786153.\nAnswer: 139, 41627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (174\/(-377))\/((-231)\/286). Which is the closest to -1? (a) -0.1 (b) -0.5 (c) z (d) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**2 + 4*p + 2. Let n be c(3). Suppose -10 = -n*r - 0. Suppose 0 = 6*z - 4*z - 12. Solve -y + 2*f = r*y + z, -y = -4*f - 8 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -134372 smaller than -319?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 21458, 21461, 21464, 21467, 21470?\n\"Answer: 3*z + 21455","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*m - m - 2*m)*(-302 + 63 - 18)*(5 - 1 - 1) to s + k*m and give k.\nAnswer: 771","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 9*t**3 + 484*t**2 - 3413*t - 15. Determine b(7).\nAnswer: 2897","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3520 and 100100?\nAnswer: 1601600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -55 times -3?\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 + 1. Suppose 3*a - 9 = 0, -3*q = 4*a - t*a - 2229. Suppose 2*n + 2*n + 4 = 0, 4*n - q = -4*j. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p + 2*p = -16. Suppose p*w + w = 0. Factor w*i + 0*i**2 - 12*i**3 - i - 3*i - 16*i**2.\nAnswer: -4*i*(i + 1)*(3*i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01671862 to four decimal places.\nAnswer: 0.0167","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -40*u - 6. Let t(b) = -b**2 - 86*b - 1481. Let d be t(-62). Let i(p) = -27*p - 4. Give d*i(j) - 5*y(j).\nAnswer: 11*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -3869 divided by 73?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/(-21) - (-3 - (-75)\/(-7)). Which is the closest to -1? (a) 4\/5 (b) y (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 54449, 54448, 54447, 54446, 54445, 54444?\nAnswer: 54443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 to the power of 1\/4, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 643*n + 18. Give j(1).\nAnswer: 661","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.104*0.3.\nAnswer: -0.0312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -84905437*s**3 + 5*s - 959681667?\nAnswer: -254716311*s**2 + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 30 + -86bc?\nAnswer: -868c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14942 and 13496?\nAnswer: 482","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (108\/(-18))\/((-28)\/70*-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2306 is divided by 30?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 43 - 73. Let u = j - -63. Let p = u + -23. Calculate the remainder when p is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1580797 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**2 - 7*v - 6. Let s be i(-6). Suppose -4*y + 24 = -s*y. Suppose -4 = -2*w + y. Sort 0, w, -2 in decreasing order.\nAnswer: w, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3648.601 kilograms to grams.\nAnswer: 3648601","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -504 + 369 - 6*u + u in the form t + z*u and give t.\nAnswer: -135","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 21014?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 - ((-2)\/2 + -1). Which is the nearest to -1? (a) 0.3 (b) t (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 55049 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 50304606 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 + 7)*(16 - (-38)\/(-1))?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46\/(-23) - (-3)\/(15\/49475) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*5\/130*12\/3.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r\/((r*r\/r**27*r)\/r)*r*(r**(-30)\/r)\/r*(r**(-15))**48 assuming r is positive.\nAnswer: r**(-725)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 2*d - 2232 = -5*b, -2*b = -3*d - 895. Is ((-20)\/(-40))\/(1\/b) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8292 is divided by 4139.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3545 and 709?\nAnswer: 3545","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 15182884, 15182902, 15182928, 15182962, 15183004, 15183054, 15183112?\n\"Answer: 4*m**2 + 6*m + 15182874","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 2*d - 2, v = -2*d + 2*v + 10. Solve p + 7 = -4*z - 2*p, 0 = -2*z + d*p - 17 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zxxzzyyggyggzxzgg. Give prob of sequence zxyx.\nAnswer: 3\/1904","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hazwzzccfhhff. What is prob of sequence czw?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Do -45965\/752 and -62 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sdspsupsuasuupu. Give prob of picking 4 u.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 34*((-3)\/(-6) - 3). Let w = -61248\/5 + 12335. Let z = w + c. Which is smaller: z or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -3\/100 (b) -0.21 (c) 0 (d) 2\/7 (e) 14\/5 (f) -3\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -51*g**3*j + 1001*g**3 - 15*g**2*j + 2*g - 78*j - 2 wrt g.\nAnswer: -306*j + 6006","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 23187603?\nAnswer: 2\/23187603","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((sqrt(209) - (sqrt(209)*-2 - sqrt(209))*-5) + sqrt(209)*1*2))\/((sqrt(66) - (sqrt(66)*2 + sqrt(66)))\/sqrt(6) + 1*1*sqrt(11)).\nAnswer: 60*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.05 and 26.3918?\nAnswer: 1.31959","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -195.\nAnswer: 2\/195","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -225*b**4 - 286 + 286 + (13*b**2 + 10*b**2 + 2*b**2)*(0*b + 0*b - 2*b**2) in the form m*b + h*b**3 + q*b**2 + j + l*b**4 and give l.\nAnswer: -275","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/(-2)*(-84)\/42*1?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**3 - 6*v**2 + 4*v + 20. What is l(-6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 3*n + n + 42 = 0, -5*l + 10*n = -210. Sort -36, l, -5 in descending order.\nAnswer: l, -5, -36","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -43754*o**2 + 47137*o**2 + 2*o - 4*o in the form i*o + b*o**2 + g and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2024863 to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01004800115 rounded to three decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -340, -512, -696, -898, -1124, -1380, -1672?\n\"Answer: -g**3 - 165*g - 174","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l**2 + l**2 - 5*l**2)*(2*l - 4*l + l)*(3*l - 2*l + 7*l).\nAnswer: 40*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v = 2*v + 12. Suppose v*w - 12 + 4 = 5*k, -k = 0. Is 4 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 265, -0.3, -3 in descending order.\nAnswer: 265, -0.3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the first derivative of -3*h**4\/4 - 218*h**3\/3 - 2015*h + 417. What is the first derivative of u(i) wrt i?\nAnswer: -9*i**2 - 436*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the second derivative of 0 - 3*v + 0*v**2 + 5\/2*v**4 + 0*v**3. Let j(c) be the first derivative of 3*c**2\/2 + 74. Give j(n(t)).\nAnswer: 90*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:00 PM and 4:18 AM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 208 + -229. Let a(g) = g**2 + 23*g + 58. Let f be a(d). Suppose 4*s + s = -3*v - 9, -v = 5*s + 13. Put 1, f, s in decreasing order.\nAnswer: f, 1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*k = 9*k + 27. Solve k*v - 9 + 3 = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -9df - -c1?\nAnswer: -91e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 4*u + 653294 = 0, -3*u + 349928 = -2*c + 1003173. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 320*h**3 - 12*h**2 - 58*h - 418. Let m(n) = 320*n**3 - 10*n**2 - 48*n - 418. Let s(i) = -5*b(i) + 6*m(i). Find the first derivative of s(l) wrt l.\nAnswer: 960*l**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 620 and 556960384?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the first derivative of -4*f**5\/5 + 36*f**4 - 176*f**3 + 256*f**2 + 325. Solve y(i) = 0.\nAnswer: 0, 2, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4366520+-3\nAnswer: 4366517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -75031325363\/28946 - -3523611393946233\/1373198240. Let p = t + 4181311\/160. Let g = p + 10\/593. Calculate the common denominator of g and -57\/22.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 - -11. Let o(z) = -z**3 + 10*z**2 + 15*z. List the prime factors of o(r).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -48*g**3 - 3*g + 2. Let r be q(1). Let c be (-7)\/(-2)*(-28)\/r. What is the second derivative of -3*d - 7*d - 4*d + c*d + 17*d**3 wrt d?\nAnswer: 102*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14 - 25 + 4*u**2 - 2 - 2*u**2 - 45.\nAnswer: 2*u**2 - 58","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 141, 189, 237, 285, 333, 381?\n\"Answer: 48*o + 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tz when two letters picked without replacement from {j: 1, w: 1, e: 1, z: 3, i: 1, t: 5}?\nAnswer: 5\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -14*q**2. Let k(j) = 9*j. Determine k(n(l)).\nAnswer: -126*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 736713743 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/7 <= 12435.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**3 + t**2 - 3*t + 10. Let l be m(3). Suppose l*j - 36*j = 269. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 23 - 33226445?\nAnswer: -33226422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 - (32 + -11 - 38).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 84327375*g**4 + 51617113*g**2?\nAnswer: 2023857000*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 74 + -53. Suppose 53 = 4*s + a. Suppose 2 = j - 0*j. Calculate the least common multiple of s and j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 + -3. Let m(a) = -348*a + 2441. Let k be m(7). Solve k*o + 18 + 3 = 2*j, 0 = c*j - 2*o - 6 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 5, -15, 4123 in decreasing order.\nAnswer: 4123, 5, -8, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -175 + 168. Let t = -0.053 + 6.653. Let w = p + t. What is the nearest to -1 in -0.5, w, 0.1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 66831, 133649, 200439, 267201?\n\"Answer: -14*d**2 + 66860*d - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 2367 (base 12) to base 16\nAnswer: f7f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and 183.\nAnswer: -915","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 118411805*a**2 - 2*a - 77470802 wrt a?\nAnswer: 236823610","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 119\/792 and 191\/110880?\nAnswer: 110880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3958*z = 11152*z + 438834 for z.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 154 = 21*p - 14*p. Suppose -1764 = -47*n + 633. What is the remainder when n is divided by p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*c**2 + 8760*c - 8757 = 0. What is c?\nAnswer: 1, 2919","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -15*l + 29*l**3 + 0 + 0 + 25*l wrt l.\nAnswer: 174*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*m + 560 + 493 = 0. Calculate the remainder when m is divided by 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 216\/12 + (-6)\/2. Let u = v + -10. Suppose u*c + 6 = -4*m, -6*c = -c - 2*m - 18. Solve 3 + 2 = c*l - p, -l + p = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 40873771 or 40873772?\nAnswer: 40873772","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = m - 10. Suppose -a + 373 = m*z, 4*z = 4*a + 163 + 145. Does 24 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 - 8) + -8 + 25 + -8 + 5?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p - 3*p = 140. Suppose p - 68 = -2*d. Solve g - 4 = 2*m - 3*m, -5*g + 5*m + d = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 + 34. Let x = -10 + j. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -2\/52969?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b - 4*x + 16 = 0, -7*x + 349 = -b + 183 + 163 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**2 + 1. Let k(p) = -85*p**3 + 10*p**2 + 8. Let b(u) = -6*a(u) + k(u). Is b(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5375341 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 990*w - 127922. Calculate q(130).\nAnswer: 778","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 71673 + 7*(-110)\/77 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is b + -7?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) 1\/5 (b) 1 (c) -2\/3 (d) 32\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ojoo when four letters picked without replacement from ooojjjjjoooj?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 43 + -133103?\nAnswer: -133020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 451 + -450.25. Let p = u - 0.749113. Round p to 4 decimal places.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t + 2. Let x be n(0). Let c be x\/(-4)*(0 - 4). Let q(z) = 1 + z**3 + 6*z**2 - c*z**3 - z**2. Determine q(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**3 - 6*z**2 + 4*z + 4. Let d be ((2 - 0) + -1)*4. Let k be 3\/d + (-6)\/8. Let n be 4 - (3 - 4 - k). Give g(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 99*h = 95*h + 16. Suppose -548 = -h*b + 264. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes before 2:14 PM?\nAnswer: 2:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2719*m - 2722*m - 20 = 4. Let d(f) = -2*f**3 - 17*f**2 - 11*f - 19. Determine d(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2\/5 - (7272\/(-20) - 5) is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -2*b. Let p(m) = 0*m + m + 4 + 9 + 3444*m**2 + m - 3141*m**2. Calculate p(v(u)).\nAnswer: 1212*u**2 - 4*u + 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.126275 rounded to 3 decimal places?\nAnswer: -0.126","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -3196316 to the nearest one thousand.\nAnswer: -3196000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(1300) - sqrt(13)) + -5)**2.\nAnswer: -90*sqrt(13) + 1078","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 1, -4, 7, -3 in descending order.\nAnswer: 7, 1, -3, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 17. Let j(u) = -40. Let d(m) = 3*j(m) + 7*y(m). Let r(b) = -2*b**2 - b. Let w(c) = 1. Let i(n) = -r(n) + 5*w(n). Calculate 5*d(a) + i(a).\nAnswer: 2*a**2 + a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3429 and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 89 - -13. List the prime factors of q.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 140330951 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1.0038 and -0.03132.\nAnswer: 0.97248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -9 + 11 + (-765)\/369. What is the fourth smallest value in -6\/7, j, -0.3, -3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/11, -4, -11592 in descending order.\nAnswer: 2\/11, -4, -11592","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qzzzqzqqqqqqzzzzqzz. What is prob of picking 1 z and 3 q?\nAnswer: 70\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -20402 greater than -20374?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p - 1. Let u(h) = -16*h + 14. Let w(n) = 0*n + 4 - 3*n + 5*n + n**2. Let l be w(-6). What is l*j(q) + 2*u(q)?\nAnswer: -4*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11704844*o**5 - 2*o**4 - 4*o**2 + 2*o + 71210.\nAnswer: 702290640*o**2 - 48*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 1 - 11*p**2 + 0 + 80*p**2. Let d be n(1). Suppose 18 = 5*m - 122. Calculate the highest common factor of d and m.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-24)\/1)\/(12 - 14). Solve 2*x + w = -2*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -11? (a) -2\/10021 (b) 15 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -18*c + 228. Give y(13).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/(6\/(-4)) - 19. Let d = 12 + z. Let o(x) = x**2 + 3*x - 1. Let u be o(d). Solve -4*j = u + 3 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12771, 12537, 11903, 10671, 8643, 5621?\nAnswer: 1407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -2*o**2 - 6*o + 108. What is a(10)?\nAnswer: -152","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y + 13*y = -66 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 226*b + 341*b**2 - 234*b + 12*b as f*b**2 + p*b + u and give p.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 10) in base 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, 140, -4, -2.\nAnswer: -4, -2, -1, 4, 140","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(1 + sqrt(343) + 4 - 3*(-1 + sqrt(343))) + 6*(1 + sqrt(343) - sqrt(343))*1 + 0)**2.\nAnswer: -56*sqrt(7) + 1376","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -0.99?\nAnswer: -0.99","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 50 - 352\/7. Which is the third smallest value? (a) 3\/2 (b) -0.02 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 9*w - 2. Let o(m) = 11*m - 12. Let x(j) = 23*j - 21. Let u(f) = 10*o(f) - 6*x(f). Give -17*q(s) - 6*u(s).\nAnswer: 15*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (5 - 14) + -5?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -340 + 711. Suppose 10*m + 1 = b. Calculate the remainder when m is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1011001111001011 (base 2) in base 3?\nAnswer: 2100010201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**2 + 12*h - 2 - 21*h + 18*h. Let u be g(8). Suppose -8*z + 70 = -u*z. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21432233 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -201021 - 0?\nAnswer: -201021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 127372040 to the power of 1\/6, 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 50\/27 and -23\/567.\nAnswer: 567","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -32707 + 32712 + 7*c**2 + 6*c**2 + c**3. What is r(-13)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s - 7. Let y(l) = l - 8. Let f be ((-279)\/(-651))\/(2\/14). Suppose -142*j - 8 = -138*j. Determine f*h(v) + j*y(v).\nAnswer: v - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 + 22. What is the remainder when 52 is divided by o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.003412518 to 3 decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 17*j**3 + 197*j**2 - 3*j - 24. Is i(25) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*u - 19*u = -3*v - 28, 4*v + 29 + 8 = -5*u for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1538595 is divided by 219198?\nAnswer: 4209","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i = 4*z - 2, 2*z - 2*i = 4 - 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 13 in 2, 3\/8, 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 3*y**2 - 15. Let i(w) = 1. Calculate 45*i(z) + 3*m(z).\nAnswer: 9*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 6439 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 15 (b) 1\/2 (c) -4 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12.34 + -0.34. Let y = 12.00003 - l. What is y rounded to 5 decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 780*b**3 - 40*b**2 + 113*b + 107. Is h(4) a multiple of 111?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - c + 95 = -6*c, j - 2*c = 26. Let p = 192 - j. Calculate the highest common divisor of 43 and p.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 161264 is divided by 279?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 times -57?\nAnswer: -33345","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 850713 in -2\/5, 1, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -6*l - 2. Suppose v = -v - 6. What are the prime factors of a(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92*b + 1009 = -739 for b.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 - 3. Let i = -0.9 - -1. Let y = 0 - i. Which is the closest to y? (a) 0.1 (b) v (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*462\/(-6384)*-19?\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3 or -26224?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 + 17 + (99 - 121). Let p(d) = -7*d**2 - 4*d - 4. Determine p(w).\nAnswer: -159","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20\/8 + (37485\/(-1598) - -21)\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24021963311 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 3427*147\nAnswer: 503769","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 52675460 to the power of 1\/3, to the nearest integer?\nAnswer: 375","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a gram in micrograms?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the second derivative of -j**5\/10 - 2*j**3\/3 + 5*j**2\/2 - 161*j. Calculate b(2).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1702 divided by -37?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -2461, -4892, -7323, -9754?\n\"Answer: -2431*f - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2128046932?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1122231 (base 6) to base 16.\nAnswer: -e0cb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 108, 0, -4, -1201 in increasing order.\nAnswer: -1201, -4, 0, 108","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let 280*g**3 - 20535*g**2 - 13660*g - 2220 = 0. What is g?\nAnswer: -3\/8, -2\/7, 74","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 563402 and 98?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the first derivative of -59 - 100\/3*c - 85*c**2 - 11\/6*c**4 + 24*c**3. Determine j so that l(j) = 0.\nAnswer: -2\/11, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 152 and 229159?\nAnswer: 1833272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -18*j**2 - j. Let z be i(2). Let a = -29 - z. Let b = 43 - 31. Calculate the remainder when a is divided by b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -3\/2, 1.6, 5, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22795.\nAnswer: 5, 47, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72 = -5*c - c. What is the smallest common multiple of c and 6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2240, 2853, 3442, 4007, 4548, 5065?\n\"Answer: -12*i**2 + 649*i + 1603","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the second derivative of 1\/6*y**4 + 0*y**2 + 0*y**5 + 0*y**3 - 1\/30*y**6 + 0 - 2*y. What is the third derivative of p(q) wrt q?\nAnswer: -24*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1331018.43 hours in weeks?\nAnswer: 7922.72875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*l + 1 - 13 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 13.74 > -8\/2605?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-66)\/(-39 + (45 - 8))?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 563000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 203*s = 199*s - 167282, 3*s - 167275 = -t. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + r = 20, -5*r - 341 = -d. Let l(f) = 15*f - d + 35*f + 361. Is l(2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/40*-6)\/(38\/760)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -143 and -103.\nAnswer: 14729","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3236337?\nAnswer: 3, 13, 139, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.75155818 + -176\nAnswer: -175.24844182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -39*i + 5*i + 18*i + 3 + 15*i - 4. Suppose 0 = 6*s - 2*s - 68. Suppose -3*a = 4*u + 2*a + s, 5*u = 4*a + 30. What is h(u)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*o**2 - 242*o - 244*o - 2*o**2 - 4*o**2 + 722*o - 240*o.\nAnswer: -6*o**2 - 4*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29273 is divided by 6800?\nAnswer: 2073","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -19*s - 2. Let u(q) = -2*q**2 - 282*q - 103. What is m(u(o))?\nAnswer: 38*o**2 + 5358*o + 1955","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-4 + -4)\/4)\/(-1). Let b(k) be the first derivative of 0*k - k**3 - 2 + 0*k**s + 1\/2*k**6 + 0*k**5 + 0*k**4. Find the third derivative of b(c) wrt c.\nAnswer: 180*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h**5\/9 - 704*h**4\/3 - 29984*h**3\/9 + 8284*h**2\/3 + 98638*h - 211860 = 0 for h.\nAnswer: -11, -9, 3, 1070","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 3*q**2. Let g be v(1). Which is smaller: -0.1 or g?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1\/2, 6585, -3\/5 in ascending order.\nAnswer: -4, -3\/5, -1\/2, 6585","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**0\/k)**(-1\/58)*(k**1)**(-2\/15) assuming k is positive.\nAnswer: k**(-101\/870)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 29865646 to the power of 1\/3, to the nearest integer?\nAnswer: 310","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31618284?\nAnswer: 2, 3, 23, 109, 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*r = 3*y + 224, -2*r - 62 + 28 = -2*y for y.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 42\/4*(-240)\/(-140). Let g = l + -15. Let i(a) = a**2 + a - 2. Give i(g).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - k - 2368 = -5*t, 0 = t - 4*k - 485. Suppose 51*u - t = -167. Factor 3\/4*p**3 - u - 9\/2*p**2 + 9*p.\nAnswer: 3*(p - 2)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(2\/3)*c\/c**(-13)*c)**(-2\/7))**(-35) assuming c is positive.\nAnswer: c**(500\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3156381376?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 38 + -39. Which is smaller: -3\/37 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 - 1368492?\nAnswer: -1368489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.4512 + 5.4512. Let n = -33\/4 + 8. Is n less than or equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8*123440\/(-14720) + 67?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -6, -27835, -2, 1\/4?\nAnswer: -27835","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 9*t)*(-1 + 1 - 9)*(-6*t**2 + 3*t**2 + 39*t**2).\nAnswer: -2916*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4475?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 867373 and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence piv when three letters picked without replacement from {m: 1, p: 1, i: 2, v: 10}.\nAnswer: 5\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = 4*l - 0 - 2, 3*l + 8 = g. Calculate the highest common divisor of 18 and g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2, 3, 0, -5, -7219, 6.\nAnswer: -7219, -5, -2, 0, 3, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28231931?\nAnswer: 7, 13, 199, 1559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add together 14436.055 and -4.\nAnswer: 14432.055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m**2 + 0*m**2 - 2*m**2)*(0 - 3 + 1) - 2*m**2 - m**2 + 2*m**2 - 2 + 3*m**2 + 0*m**2 - 2*m**2 + (4*m - 4*m - 4*m)*(0*m - 2*m + m).\nAnswer: 6*m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes before 2:14 PM?\nAnswer: 12:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 4*j + 0 + 3 = 0, 0 = -4*j + 12. Let t = 52 + -108. Let k be -6 - 4\/36*t. What is the second biggest value in l, 0.3, k?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -2089, 5 in ascending order.\nAnswer: -2089, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:09 AM and 8:07 AM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tsxcvoo. What is prob of picking 1 c and 1 o?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 7\/(-3) + 4\/(-6). Let m(k) be the third derivative of -k**4\/24 - k**3\/2 + 2*k**2. Let z be m(q). Solve -5*n + n = z for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18 - 21. Which is the closest to -1? (a) h (b) -4 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the second derivative of -5*t**3\/3 - t**2\/2 + 2*t. Let v be w(-1). Suppose 0*y = -3*y + v. Which is smaller: 2 or y?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 2*t**2 + 2*t - 6. Let k be n(-3). Let r(x) = -x - x - 2*x - 2 + x. Let f(h) = 25*h + 4 + 21 - 8. Give k*f(j) + 51*r(j).\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.05? (a) -1 (b) 3\/2 (c) -114 (d) 6 (e) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 3 (b) -79\/2 (c) -3 (d) -8 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 9*y + 64 = 0. Suppose 4*s + b + y = 52, 30 = 5*s + 5*b. What is the highest common divisor of 35 and s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 52 - 92. Let m = f - -39.42. What is m rounded to one decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.9 - 4.9. Let i = -0.1 + -0.1. Which is the third biggest value? (a) k (b) i (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 987816 a multiple of 79?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-1)*-36)\/(48*(-29)\/(-696)).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-80)\/24)\/(-1))\/((-2)\/(-6))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 18 + 2*p**2 - p**3 - p**2 + 18 - p - 24. Let b be k(0). Solve 4*w = -4*a - b, -7 + 3 = 4*w for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/6488 and -109\/12.\nAnswer: 19464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*j + 6 = -66*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -254 and -3.047303?\nAnswer: 250.952697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 56 and 25039.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -20.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (6*6\/45)\/(2\/(-10))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 5*c**2 + 7*c. Let y = 63 + -74. Let b = -28 - y. Let r(z) = -14*z**2 - 20*z. Let l be 0 - 0 - (-6)\/(-1). Give b*j(x) + l*r(x).\nAnswer: -x**2 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -399737251.07 + -9.93.\nAnswer: -399737261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -13 - (-3 - (-1 + 0)). Suppose 3*w + 41 = 8. Is f < w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -a + 2*a. Let g be 1\/(a + -3)*-2. Let d = 8219\/3199 - -1\/457. Which is smaller: d or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 17486388?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 2*h**2 - 10*h + 16. Let w be d(3). Let o(a) = a - a + a + 0. Let c be o(w). Solve 0*u - 4*u = c for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 242\/5519 + 348561\/8035664. Find the common denominator of c and 143\/280.\nAnswer: 7280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**2 + s - 2. Let j be f(0). Let c be j + 1 + 0 + 4. Let x = 6 - 2. Solve -1 = -c*u + x*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 37463 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 3*a = 2*y + 151, -172 = 2*y - 4*a. Calculate the remainder when y\/(-6)*(-45)\/(-10) is divided by 2*-6*(105\/20)\/(-3).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 29.571363ns?\nAnswer: 0.00000000049285605","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-15)\/x**21)\/(x*x*x**2)**(-30))**(1\/13) assuming x is positive.\nAnswer: x**(84\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (4 - 3 - 6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1.55 + -42.7974776\nAnswer: -41.2474776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r - 24 = -5*v - 83, 40*r - 2*v - 97 = 9 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve l - 3*l - 7028 + 7014 = -p, -2*l = -3*p + 18 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -989, -3635, -7969, -13997, -21725, -31159?\nAnswer: -42305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -55 + 88. Does 7 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 * -0.0938\nAnswer: -0.469","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 3*(-10)\/(-5)*50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -225314.800006 + 225315. Let s = i - 0.2. Round s to five dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 86 + (16\/4 - 3). Suppose -5*b + p + u = 0, 0 = -2*b + p + 14 + 19. Suppose 0 = -n - b + 81. Calculate the highest common divisor of 9 and n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-7)\/((-532)\/20))\/((-165)\/(-165))\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 5 - 4)*(3*o**2 + 3*o**2 - 4*o**2).\nAnswer: -20*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - c = 2*c. Let z(i) be the third derivative of 0*i + c + 4*i**2 - 1\/8*i**4 - 2\/3*i**3. What is the first derivative of z(f) wrt f?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 179139 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -96 + 99.9. Let l = -3.9 + t. Suppose 9 = -8*q - 15. What is the nearest to l in -0.3, 2\/9, q?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5*3\/(-15))\/1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 372897068 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2575 + 937 = -26*p for p.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000527316739 rounded to five dps?\nAnswer: -0.00053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -22311021 (base 4) to base 7\nAnswer: -243222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the first derivative of -16805\/9*v**3 - 590\/3*v**4 + 1475*v**2 - 150 - 16\/3*v**5 - 375*v. Determine d, given that j(d) = 0.\nAnswer: -15, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 + 4*p**4 - 436*p + 432*p - 6*p**4 - p**2 to the form m*p**3 + a + u*p**2 + w*p**4 + n*p and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 2*h**3 + 265*h**2 + 142*h + 1387. What is c(-132)?\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 89 - 86. Calculate the remainder when 11 is divided by z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 - 8 - (262 + -244)?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k = f - 11, -2*f = -5*k - 2 - 10 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -6*q - 14. Let w be 9\/(-12) - (q - 54\/(-56)). Suppose 0 + 2\/7*d**2 + w*d = 0. Calculate d.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1662394415?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 39 - 4. Let s = 35.00294 - q. Round s to three dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -5*p**3 - 15*p**2 + 100*p - 9. Give t(5).\nAnswer: -509","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -2*m + 4. Let f be w(5). Let z(i) = -8*i + 7. Is z(f) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 29.1157 kilograms to tonnes.\nAnswer: 0.0291157","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 18\/(-10) + 1\/(-5). Let w(u) = -9*u - 15. Let c(d) be the first derivative of 2*d**2 + 7*d + 17. Let m(v) = 7*c(v) + 3*w(v). What is m(r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1762 - 1630. Let q(a) = -a**3 - a**2. Let t(o) = 36*o**3 + 33*o**2. Calculate z*q(d) + 4*t(d).\nAnswer: 12*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3 - ((-6)\/(-9) - 4\/(-12)). Let x be s\/(-8) + -2 + (-395)\/2. Let a = 293 + x. List the prime factors of a.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**3 - 5*c**2 + 6*c - 1. Let y be m(-6). Let v(q) = q. Let z(s) = -13*s. What is y*z(d) - 4*v(d)?\nAnswer: 9*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 189740000 rounded to the nearest 1000000?\nAnswer: 190000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:45 PM and 8:33 PM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 4*y = -23. Find the first derivative of -11*f**4 - y*f**3 + 4 + 23*f**3 wrt f.\nAnswer: -44*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes after 8:35 AM?\nAnswer: 4:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -6*k + 2. Let g be m(-3). Let f be (-6)\/g*25\/6. Let h = -52837 + 211347\/4. Which is the nearest to 1? (a) f (b) h (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/1138332 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2869\/34 + -169\/2. Sort -0.3, -3\/5, q in descending order.\nAnswer: q, -0.3, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9805.675 litres to millilitres.\nAnswer: 9805675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -23722\nAnswer: -1\/23722","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 0 + sqrt(448) + -3 + (sqrt(448)*-2 + sqrt(448) + -1 - sqrt(448)).\nAnswer: -8*sqrt(7) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0567321 millilitres to litres.\nAnswer: 0.0000567321","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 616 - 2146 = 90*j - 5*j for j.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((84\/8)\/7)\/((-28)\/56)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1\/9 (b) 77 (c) -2\/85 (d) 82\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3*6\/27)\/((-7)\/12). Factor -2\/7 + 10\/7*x**2 + q*x.\nAnswer: 2*(x + 1)*(5*x - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 89331737 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -860178834 less than -0.3?\nAnswer: 860178833.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + r - 1605 = 0, -4*b + 1779 - 481 = -2*r. Is b a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 283836?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 52\/90 - 2\/(-9). Suppose -u*l**2 - 2\/5 - 1\/5*l**3 - l = 0. What is l?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26207.\nAnswer: 73, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 10) to base 12.\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 8) in base 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -133446 (base 7) to base 5\nAnswer: -1302034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2926781\/100 - -29269. What is the common denominator of u and -58\/55?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 232269, 929122, 2090543, 3716532?\n\"Answer: 232284*j**2 + j - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 33\/15370 and 99\/14.\nAnswer: 107590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1734?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, p: 4, g: 3, f: 2, t: 3, x: 2}. What is prob of sequence tmt?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 62041938?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(3564)*1)*-2)**2.\nAnswer: 144*sqrt(11) + 14260","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -56699.4022 rounded to the nearest 10?\nAnswer: -56700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ha when two letters picked without replacement from {a: 1, m: 3, h: 4}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8065391?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -9*t + 31. What is a(5)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -52*x**4\/5 + 10768*x**3\/5 - 634024*x**2\/5 + 12022512*x\/5 - 22330404\/5 = 0?\nAnswer: 27\/13, 41, 123","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rhzdzwx. What is prob of sequence wdz?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -4*z. Let a(f) = -769317*f**2. Calculate p(a(c)).\nAnswer: 3077268*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -41 + 56. Suppose 2*y + k = 5*y. Calculate the remainder when 14 is divided by y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.9 + -4.3. Let n = -20561.5967 - -20563. Let z = v + n. Round z to three decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -3*h**2 + 5. Let j(c) = -4*c**2 + 6. Let b(n) = -5*j(n) + 6*l(n). Let r(f) = -45*f**2 + 316 - 316. Give b(r(m)).\nAnswer: 4050*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (27\/(-6))\/(-3 - -15). Let j = -73\/252 + -5\/36. Sort 0.8, y, j.\nAnswer: j, y, 0.8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 370357 (base 9) in base 4?\nAnswer: 312202021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 44.6 - 44.3. What is the closest to -74 in -1, -3, m?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15555379 divided by 51679.\nAnswer: -301","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - 18 - (-91 + 85).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes after 2:12 AM?\nAnswer: 4:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -9 - 1. Let n(u) be the second derivative of 1\/3*u**3 - 1\/10*u**5 + 0*u**t + 2*u + 0*u**4 + 0. Find the second derivative of n(c) wrt c.\nAnswer: -12*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14*f**5 - f**3 + 20*f**2 + 12.\nAnswer: 840*f**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 179*g - 13*g - 52*g. Let n(m) = 2*m**2. What is h(n(r))?\nAnswer: 228*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 227 divide 58164873?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(76)\/sqrt(2)*-2 + (sqrt(342) - 2*sqrt(342)))*6)\/((sqrt(24)\/sqrt(2) - sqrt(12))\/sqrt(6) + sqrt(18)\/(-2*sqrt(9))).\nAnswer: 60*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4506228 is divided by 299?\nAnswer: 298","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -263*v + 381*v + 142*v + 559*v as g + r*v and give r.\nAnswer: 819","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2 - (1 - (3 - 1)). Let h(k) be the first derivative of -k**3\/3 + 3*k**2\/2 - 3*k - 55. Let b(c) = c**2 - c + 1. Determine a*h(j) - 3*b(j).\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a gram in milligrams?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -0.2, -2\/9, -1\/3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) -13 (c) 0 (d) -16\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46474*n = 48639*n + 101755 for n.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z = -t + 1, 85 - 31 = -3*z - 24*t - 57 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11 - 9. Find the third derivative of -9*c**6 + 18*c**6 - c**n + 11*c**2 wrt c.\nAnswer: 1080*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v = 23*v - 150 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26763 is divided by 107?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 445428491?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from huavwaq. What is prob of sequence qvh?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1085 divided by 35.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.3 + -1.5. What is the second biggest value in f, 0.4, 4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -344*a + 181*a + 4*z - 21 = -172*a, 3*a - z = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 13483661 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/16 - (-5 - 7\/(-4)). Solve -f*k = 2*k - 4*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-2\/9)*(n\/(n*n**38\/n))\/n assuming n is positive.\nAnswer: n**(-344\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43921\/(-526) + (-1224)\/(-12).\nAnswer: 37\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**2 - 7056*c - 63415. Give d(-9).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 375023899 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/5 of a decade?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -225658, -1, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 45 = -0*u. Suppose -3*i - u = s + 3*s, -4*s = 0. Let y = 3 + i. Let m(z) = -3*z. Give m(y).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6788 - -47514\/7. What is the nearest to d in -7\/4, -3\/7, -4, -1?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -34 + 48. What is the highest common divisor of 77 and a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/((-176)\/33))\/(60\/(-8)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 105 = 5*m - 396, 2*m = 2*k + 204. What are the prime factors of m?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, k: 1, q: 1, i: 4, s: 2, c: 3}. Give prob of sequence ccq.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c**3 + 87575*c**2 + 175102620*c = 0 for c.\nAnswer: -1812, 0, 19327","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (40\/(-224))\/((-30)\/21)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-32 - -13 - 19 - -131 - (-4 + 1)) + -1?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 9 = -2*h. Suppose 0 = -4*z + f + 1, -4*z - 2 = -z + 2*f. Let r be (1 + -1)\/(z + 1). Sort 2, h, r in increasing order.\nAnswer: r, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 - 5. Let c = 994 - 1402. Let x = 412 + c. What is the fourth biggest value in 2, m, 0.5, x?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-48)\/32*(-5)\/(45\/(-8))?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2 + 6)\/(3\/66). Let m be (-22)\/165 + f\/(-30). Sort m, 3, 2.\nAnswer: m, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 75 + -75. Solve -n - 3*n + 16 = d for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 5, t: 3, y: 1}. What is prob of picking 2 t and 2 l?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 0.2, 4\/3, -2, -1\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 95\/559128 and -11\/38568?\nAnswer: 898518696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 179392?\nAnswer: 2, 2803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:42 PM and 10:27 PM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes after 8:49 AM?\nAnswer: 11:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 689*i + 217732. What is k(-316)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-8)\/(-2)*(-2)\/4. Let u(h) = 5*h**2 + 2*h + 3. Let w be u(x). Suppose 0 = l - t - 4, -2*t - w = -5*l + 2*t. Solve 0 = l*m + 3 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/(-3)*((-2)\/(-21))\/((-128)\/(-240))?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 167*h - 711. Let c be u(6). Which is bigger: c or 297?\nAnswer: 297","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 68 and 8942.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 654001 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -l. What are the prime factors of 25 + (-1 - l) + -2?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.3347071 rounded to 2 decimal places?\nAnswer: -3.33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -32718.696 and 10.3717?\nAnswer: 32729.0677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 - -4. Solve h + 5*s = 6*h - 15, -h + 3*s + b = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 45 (base 14) to base 10.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - p = 4 - 0, -u = -5*p - 2. Suppose -2*s - g = -6*g - 24, 0 = -2*g - 8. Suppose 0 = -u*j - s*j + 52. Is j >= 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(2\/9))**(-8\/7))**(4\/5)\/(((i\/i**(-1\/3))\/i)**(-6\/7))**6 assuming i is positive.\nAnswer: i**(188\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/(1*(-2)\/2). Let t(n) = -55*n**2 + n - 3. Let k be t(2). Let l = k - -223. Solve 0 = -b*s - l*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s = -8, 5*s + 5 = 4*w + 33 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 + -8. Let y be 16\/p*9\/2. Let u be 8\/y*(-3 - -1). Which is the third smallest value? (a) -1 (b) u (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1238?\nAnswer: 2, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*h**3 + h**3 - 7*h**3 + (-5*h + 2*h + 2*h)*(-2*h**2 + h**2 - h**2) - 2*h**3 + 0*h**3 + 3*h**3 as x*h**3 + z + p*h**2 + d*h and give x.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15451?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -2\/7 (b) -0.2 (c) 2\/19 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -500947, -5 in decreasing order.\nAnswer: -2, -5, -500947","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -55\/3 (b) -7 (c) 0.3 (d) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q + 5*q + 12. Let g be q\/(-16)*0*1. Suppose g = -2*j - j + 6. Solve h - 4*z = -j*h - 1, 0 = -z + 4 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 248 and 279.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3*-2)\/(((-51)\/2)\/17). What is the highest common factor of y and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -34 + 39. Let m be 203\/b + (-18)\/(-45). Let g = m - 31. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-32)\/(-80) + 18\/5. Solve 2*k + 8 = 2*c, -2*k - 8 = -r*c + 2 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -38\/84891 and 17\/15280380.\nAnswer: 15280380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-12)\/(-1))\/((-4)\/(-6)). Suppose -o = o - q. What is the least common multiple of o and (-69)\/(-9) + 1\/3?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 144, 2, 4, -3 in descending order.\nAnswer: 144, 4, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 + 5\/5*(-30 + 37)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37001374?\nAnswer: 2, 18500687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 216 is divided by 51?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**18\/p**(-3\/7) assuming p is positive.\nAnswer: p**(129\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes after 6:53 PM?\nAnswer: 2:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the second derivative of 28*n + 0 + 0*n**2 - 1\/2*n**3. Let h(l) = 4*l**2. What is h(w(x))?\nAnswer: 36*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the second derivative of 1\/5*z**5 + 1\/3*z**4 + 0 - 2*z**2 - 2\/3*z**3 + 11*z. Factor u(n).\nAnswer: 4*(n - 1)*(n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42518 is divided by 42440?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 557560 and 2160.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2035403 to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 131 a factor of 72999?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**2\/10 - 7561853*f\/10 - 3780927\/5.\nAnswer: (f - 7561854)*(f + 1)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/2, 28, 0.8 in ascending order.\nAnswer: -3\/2, 0.8, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 50.78542 years in decades?\nAnswer: 5.078542","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 2*k = -52, 2*y - k = -6*k - 31. Let n be (y\/24)\/(1\/(-20)). Is 16 a factor of 1143\/n + (-4)\/20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*(f\/(f\/(f*f*f**(1\/6))))\/f*f\/(f\/(f\/(f\/f**(3\/7)))))**(-49))**(-3\/16) assuming f is positive.\nAnswer: f**(763\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*x + 4*v - 66 = -26*x, -4*v + 36 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 4*d - 153043 = 0, 5*j - 5*d - 10703 = 244362. List the prime factors of j.\nAnswer: 3, 7, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -65\/2117?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qrmr when four letters picked without replacement from rvrrqmrrv.\nAnswer: 5\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/((-1)\/6*-2). Let a(s) = -7*s + 7. Let o be a(n). Calculate the least common multiple of 8 and ((-2)\/4)\/(7\/o)*11.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p**(-6)*p)*p*p**(-1\/3)*(p\/(p*p**(-2)*p*p))\/p**(-4))\/(p**(-7)\/p**(-3\/7)*p**(4\/5)\/(p\/p**(-1))) assuming p is positive.\nAnswer: p**(1936\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 508631679?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 453779.4 decades?\nAnswer: 54453528","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes after 2:44 AM?\nAnswer: 6:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -4*k + 4. Let v(c) = 11*c - 12. Let y = -76 - -68. What is y*i(j) - 3*v(j)?\nAnswer: -j + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*x - 1056858 = -18*x + 361930. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l**4 + 165*l**3 + 1275*l**2 - 1445*l = 0 for l.\nAnswer: -17, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -13*a*g**3*q**3 - 591*a*g**2*q**2 + a + g**3*q**3 - 7*g**3*q - 136*g*q**3 wrt q.\nAnswer: -78*a*g**3 + 6*g**3 - 816*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 198 is divided by 145?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 76\/(-12) - (-3)\/9. Let k(p) = 4*p + 3 - p + 6. Calculate k(b).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -112 at most as big as -158?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*l - 4*l + l + (-3 - 1 + 2)*(-4 + 4 - 2*l) + 2145 - 28*l - 2145 + l - 2 + 2 + (2 - 6 + 3)*(2*l - 4*l + 0*l) to the form y + h*l and give h.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:32 PM and 3:51 AM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -107, 62.8, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 2 a when four letters picked without replacement from sggava.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * -18.\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 41 = 1. Let v = c + 0. Sort -4, -5, v.\nAnswer: v, -5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**0*f**(2\/7))\/((f\/(f\/(f\/f**26)))\/(f**(-21)\/f)) assuming f is positive.\nAnswer: f**(23\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7 or -534?\nAnswer: -534","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 69464?\nAnswer: 2, 19, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t = a + 2, -35*t - 688 = -4*a - 620 for a.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1038*u + 9400 = -879 - 101. Let g = -7 - -4.9. Let k = g - -2. Which is the third biggest value? (a) u (b) -1 (c) k (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 + -3. Let w be 78\/65*((-22)\/4 + 3). Which is the nearest to g? (a) 0.9 (b) -1 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 174430488 to the power of 1\/2, to the nearest integer?\nAnswer: 13207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 101, 112, 123, 134?\nAnswer: 145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-38500)\/(-1225)*-7*12\/24.\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*p + 7*p = 2*v + 702, 2*p = 4*v - 484. Let r = 343 + p. Calculate the remainder when r is divided by 28.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 4*b - 4 = 8, -3 = -f - b. Let l = 8802 + -8754. Suppose f = -4*d + 588 - l. Is 27 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -599762*d + 300383*d + 299365*d.\nAnswer: -14*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 59\/5 of a micrometer?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2 + 16)*(-610)\/(-7). Suppose -2*w - 94 = -4*u - x, -3*w - 3*u = -1644. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1920.9999143 - 1921. Round t to six decimal places.\nAnswer: -0.000086","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1434973 and 254.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8690 and 40.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -430225 or -2151131\/5?\nAnswer: -2151131\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes before 5:28 AM?\nAnswer: 3:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in nine tenths of a minute?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 21\/((-2)\/4*-2). Let h = j + -12. Is 4 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -86621*k**4 + 2*k**2 + 124116 wrt k?\nAnswer: -346484*k**3 + 4*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (12\/9)\/((-1)\/(-12)). Find the second derivative of -16*v - 6*v**2 + 12*v - d*v - 7*v**2 wrt v.\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -103, -78, -35, 26, 105, 202?\nAnswer: 317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:48 AM and 3:10 AM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**3 + 4*h**2 - 3*h - 3. Let k be m(-4). Let v(n) = -n**3 + 5*n**2 + 2. Let u be v(4). Calculate the greatest common factor of u and k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2631 in 18\/5, -4, -7, -5?\nAnswer: 18\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6.8 + -6.8. Which is the nearest to -2\/3? (a) -1\/4 (b) -2 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17321648 divided by -2\nAnswer: 8660824","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-5 - -5)\/(4\/4). Suppose -v - 4*v - 79505190 = y. Let k = v + -4598962. What is k rounded to the nearest one million?\nAnswer: -21000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -t - 29*t**4 - 11*t**4 + 53*t**4 - 10*t**4 + t**3 - 12 + 8*t**2 to y*t**2 + o + x*t**3 + s*t + k*t**4 and give o.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 763882? (a) 1\/2 (b) -7 (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 122504585 to the power of 1\/4, to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 - 1 - -1)*2. Let i be a\/7 + (-26)\/(-7). Suppose 0 = -2*s - 2*k + 8, -k + 7 = 6*s - i*s. List the prime factors of s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00040078291 rounded to six decimal places?\nAnswer: 0.000401","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 4 - ((1 - -1) + -76 + 68)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 + 0 + (-23)\/(-1). Suppose -3 = 2*t - k. Let d be -4 - (-22)\/(77\/(-14) + 6). What is the greatest common factor of d and t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 13, -0.2, 2\/15 in decreasing order.\nAnswer: 13, 5, 2\/15, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111101 + 11?\nAnswer: -111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 12915?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 18*p - 81. Let i be v(4). Let a be 28 - (54\/i - -11). Solve a - 26 = -h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11111100011 (base 2) in base 6?\nAnswer: 13203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 v when four letters picked without replacement from {v: 4, p: 16}?\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 566*d - 564*d - 4*k, 16 = -4*d + 5*k for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00773755933 rounded to 6 dps?\nAnswer: -0.007738","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the third derivative of m**6\/120 - 2*m**5\/15 + m**4\/4 - m**3\/3 - 111*m**2. Calculate g(7).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1 (b) -0.3 (c) 2 (d) 6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -2851*j - 38 + 56 + 2854*j. Let r(h) = -1. Let u(p) = -3*p - 33. Let b(s) = 66*r(s) - 2*u(s). Determine b(d(w)).\nAnswer: 18*w + 108","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -18, -76, -182, -336?\n\"Answer: -24*n**2 + 14*n - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17931255 to the nearest integer?\nAnswer: 4235","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 232 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-10\/7)*v\/(v*v**6) assuming v is positive.\nAnswer: v**(-52\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 23*h**3 + 17*h**2 + 7*h - 23. Let r be -1 + 4 - (-36 - -45). Let v(q) = -8*q**3 - 6*q**2 - 2*q + 8. What is r*j(t) - 17*v(t)?\nAnswer: -2*t**3 - 8*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 110*q**2 - 44 - 51 - 131*q**2 + 1 wrt q.\nAnswer: -42*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5121 and 0.03.\nAnswer: 153.63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:32 PM and 4:16 AM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x when three letters picked without replacement from {e: 1, p: 1, x: 3}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k**3\/13 + 1085956*k**2\/13 + 82541320*k\/13 + 1568339952\/13 = 0.\nAnswer: -38, 543054","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h - 4*w = -6*w - 14, 0 = -5*w + 15 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2111140 and 1900026.\nAnswer: 19000260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -307*f = -305*f - 3*x - 60, -5*x - 110 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3\/6*-28)\/((-3)\/3). Solve 65 = t - z*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**3 - 5*c + 3. Let b be (29\/((-1624)\/48))\/((-4)\/14). Let s be r(b). Solve -9 = 5*y - 2*u, 4*y + s = y - 2*u for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*t**3 - 2*t**4 + 4*t**3)*(-3*t + 8*t + 0*t) + 35*t**5 - 6*t**5 - 14*t**5 - 4*t + 4*t - t**5.\nAnswer: 4*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 606*o + 7 = -4*u + 605*o, 0 = -4*u - 5*o - 3 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/7*(-1)\/7*-7.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1243906 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 377100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 6 - 18?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-3) + 2149\/(-21). Let p be d\/(-7) + (-12)\/(-42). Solve -v - p = 2*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/((-252)\/(-32))*(-299)\/(-598).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2379.3*0.178\nAnswer: 423.5154","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 183822243?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -c + c - 2*c**2 + (c**2 + 3*c**2 - 2*c**2)*(0 + 2 - 4) + 3*c**2 - 3 + 3 - 8*c - 103*c**2 + 8*c + 861*c**2 to m + h*c + u*c**2 and give u.\nAnswer: 755","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2034 by 7843.\nAnswer: -2034\/7843","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 5*m - 26 - 3, m + o = 9. Suppose -m = -35*k + 30*k. Solve -h = 2*u - k, h - u + 5 = 12 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y - 26 = 172. Calculate the highest common factor of 22 and y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -191*l - 45 = -194*l + 5*p, p - 407 = -41*l for l.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 2*m**3 + 3*m**2 + 2. Let t be h(-3). Find the common denominator of (t\/(-9))\/(12\/(-90)) and ((-240)\/128)\/((-2)\/(-5)).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*x - 163*x + 84 = -24 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -48 or -58?\nAnswer: -48","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.2 + 19.2. Let s = 22 - g. Let v = 7 + -2. Put -1\/5, s, v in increasing order.\nAnswer: -1\/5, s, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 + -132025?\nAnswer: -132024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 570863923 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sum 253580146 and -229323.\nAnswer: 253350823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -18*m**3 - 856*m**2 + 6*m - 11140. Let f(b) = 10*b**3 + 435*b**2 - 3*b + 5571. Let a(h) = 7*f(h) + 4*j(h). Differentiate a(g) wrt g.\nAnswer: -6*g**2 - 758*g + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 743, -1, -3, 905 in decreasing order.\nAnswer: 905, 743, 2, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (5 + 1 - -4) + -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -932\/681?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -439 - -443.51. Let q = i - 3.51. Let o(j) = 2*j**3 - 6*j**2 - 4*j - 6. Let a be o(5). Which is smaller: a or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -0.4 (b) -0.2 (c) -1\/3 (d) 3\/10 (e) 4 (f) -18211\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 5\/36, -4, 0.5, 0.3, 61?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 32\/(-15) + -1 - 2*(-9)\/135. Suppose -2*x + 0 = 4. Let i be 6\/x - 4\/(-2). Sort 32, b, i.\nAnswer: b, i, 32","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30 (base 10) to base 15.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5357880 and 16668960?\nAnswer: 150020640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = 3*s. Suppose 3*o - f = 3, -5*o + s*f + f + 5 = 0. Let y = 2 + -6. What is the nearest to o in -0.1, 0.1, y?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 - (-1)\/3*-3. Let t(s) = 9*s**2 - s + 2. Let p be t(v). Suppose -5*a + p*a + 20 = 0. Let o(l) = l + 1. What is o(a)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 6*s**2 - s - 5. Let f(k) = -13*k**2 + 2*k + 9. What is -3*f(b) - 5*o(b)?\nAnswer: 9*b**2 - b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*u - 77*y + 79*y + 18, u - 4*y = 4 + 20 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i**3 + 9914*i**2 + 1657916*i + 3276160 = 0 for i.\nAnswer: -160, -2, 5119","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -6*(-6)\/324 - 260\/2178 and 6\/121.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 184, 531, 1082, 1837, 2796, 3959, 5326?\nAnswer: 6897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -29, 5, -68804 in ascending order.\nAnswer: -68804, -29, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 20 (b) -17 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 3*o**2 - 42*o + 14. Let u be x(14). Let d(w) = 2*w + 1. Let k(l) = -5*l - 3. Calculate u*d(f) + 6*k(f).\nAnswer: -2*f - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -105, -100, -95, -90?\n\"Answer: 5*o - 110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the first derivative of c**3\/3 - 6*c**2 + 47*c + 90. Let j be p(13). Is j > 60?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.5 + 0. Let u = -3 + 4. Let f = -1.1 + u. Which is the closest to 1? (a) z (b) -5 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/(-5) - 769709\/(-680). Let g = s - 1134. Which is greater: -1 or g?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -3*f - 5*c, 5*c + 7 = 2*f - 0. Let o(m) = -m**3 + 2*m**2 - 6*m + 6. Let i(j) = j**2 - j + 1. Let u(n) = f*o(n) - 6*i(n). Determine u(-5).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 8061*g**2 - 5*g*y**3 - 2879*y**3 - 12*y**2 + 2 wrt g?\nAnswer: 16122*g - 5*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(-18)*(6 + -4). Suppose 6*d - 3*d = -3. Are d and u nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -4*h + 817. Let c(n) = -n + 274. Determine 13*c(t) - 4*k(t).\nAnswer: 3*t + 294","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*w - 3*r + 3, 0 = 2*w - 4*r - 0 - 20 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16074\/282)\/(-3*(15\/9 - 2)).\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 8*k**2. Suppose 0 = 4*a + 52 - 40. Let z(g) = 5*g + 14. Let w be z(a). Give c(w).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 + 7. Which is greater: f or -3\/5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 - -5. Suppose 0*g + 32 = 4*h - 4*g, 1 = -h - w*g. Suppose 2*y + 5*b - 45 = 0, 65 = h*y - 4*b - 31. Round y to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 31 = 4*r, -3*r = j - 3*j - 11. Let v = 5 + j. Let o = v + 4. Let a(d) = d - 1. Give a(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -n**4\/4 + 67*n**3 - 15075*n**2\/4 + 68144*n - 254720 = 0. Calculate n.\nAnswer: 5, 32, 199","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*l - 80 = 13*l. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16, 16, 150, 452, 988, 1824, 3026?\nAnswer: 4660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -117\/1550 and 61\/26195.\nAnswer: 261950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 89*d**2 + 3*d + 9. What is the hundreds digit of k(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8489 is divided by 82.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + m - 4 + 0*m)*(3*m**2 - 2*m + 2*m) - 134*m**3 + 39*m**3 - 18*m**3.\nAnswer: -110*m**3 - 6*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, -1\/3, 1, -66, 1\/3, -6 in descending order.\nAnswer: 1, 1\/2, 1\/3, -1\/3, -6, -66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 177 - 170. Suppose 3*g + 8 = s*g, -l + 5*g = -34. Is 5 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3 + (2 - 2 - 6). Let x = -6 - -8. Sort x, v, -5 in ascending order.\nAnswer: -5, v, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zr when two letters picked without replacement from {e: 3, d: 1, b: 1, r: 1, z: 1, x: 6}?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-848)\/(-12))\/((45\/(-54))\/((-20)\/16)). Solve 2*b = -2*h, -111*h - 4*b - 3 = -r*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9 + -11. Let z be y\/(0 - -1) + 2. Suppose -28 = -5*x - 3. Solve 3*h + 4*n = 9 + x, z = h - 2*n + 2 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**2. Let b(w) = 218*w. What is b(j(s))?\nAnswer: -218*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 5*o**3 - 4*o**2 - o - 13. Let l(m) = -9*m**3 + 8*m**2 + 2*m + 24. Determine 5*g(r) + 3*l(r).\nAnswer: -2*r**3 + 4*r**2 + r + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 25, 69, 143, 247?\n\"Answer: 15*v**2 - v + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -716803*l + 3177318 wrt l.\nAnswer: -716803","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/(-15) + 6\/10. Let o(i) = 3*i**2 - i + 1. Let j be o(d). What are the prime factors of j\/9 - (-34)\/6?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13098151841 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4097\/20 greater than or equal to -1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 490 - 528 = 0. Calculate the highest common factor of 209 and b.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1263769048?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 984?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-3 + sqrt(1100))**2.\nAnswer: -240*sqrt(11) + 4436","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*h + 825 = -21*h. Suppose 108 = 5*z - 2. Calculate the greatest common factor of h and z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -692*n + 703*n = 11. Let p(y) = 2 + y**3 + 0 - 3. Let l(w) = -5*w**3 - 30*w**2 - 75*w + 2. Let r(q) = n*l(q) + 2*p(q). Factor r(a).\nAnswer: -3*a*(a + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the first derivative of 0*s**4 + 19\/3*s**3 + 0*s**5 + 0*s + 15 + 0*s**6 - 24\/7*s**7 + 0*s**2. Find the third derivative of k(n) wrt n.\nAnswer: -2880*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -153*h + 10 = -148*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -55 + 48 + 0 + -6?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -6*a**2 + 296*a - 892. Determine y(3).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -23 + 26. Suppose p*s + 21 = 6*s. List the prime factors of s\/(21\/9) + 96.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 80*h + 9 + 688 + 23 for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n + n**3 + 4 - 10*n**2 - 4 + 9*n**2. Let l = -63 + 62. Let y(v) = 6*v**3 + 3*v**2 - 3*v. Let p(w) = l*y(w) + 3*k(w). Factor p(q).\nAnswer: -3*q**2*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*44.\nAnswer: -13.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 3*p + 51. Let w(c) = 115832*c. Calculate w(q(b)).\nAnswer: 347496*b + 5907432","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + 26 = 4*h, b - 33396 = 5*h - 33424 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 13) to base 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g - 3*g - 10 = 5*y, 2*g - 3*y = 7. Let w(r) = -347*r + 1. Is 29 a factor of w(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 3*f**3 + 3*f + 12. Let d(h) = 8*h**3 + 10*h + 35. Let w(m) = 6*d(m) - 17*y(m). Find a, given that w(a) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1713)\/42825)\/((-1)\/(-3)*(-3)\/2)?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**2 + 50743*p + 152238.\nAnswer: -(p - 50746)*(p + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2308 - 2486. Put o, 0, 10 in increasing order.\nAnswer: o, 0, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 67899\/22 - 3090. Find the common denominator of c and 49\/10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(121)\/(sqrt(33)\/sqrt(3)*2).\nAnswer: sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 19 + -14. Suppose r*j = 121 + 34. Calculate the remainder when 90 is divided by j.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*w = 117*w + 133*w - 9684. Suppose -7 = -5*x - m - 0, -2*x + 3*m + 13 = 0. Suppose -9 - 29 = -x*r. Calculate the remainder when w is divided by r.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1385 is divided by 168?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 383.4 + -178893633133.\nAnswer: -178893632749.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9*o**5*u**2 - 25*o**4 + 6*o*u**2 - 2*o*u + 6 wrt o?\nAnswer: -180*o**3*u**2 - 300*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 76, -0.3, -0.04?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (11804832\/(-1066))\/144 - -77?\nAnswer: 4\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 4*t - 7. Let d(y) = y - 1. Let k(o) = 24*d(o) + 3*r(o). List the prime factors of k(4).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7752 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 2633 divide 227182072?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4.586 + -4.786. Let s be -1 + (1 - (-2)\/(-8)). Sort s, 5, g, 1 in descending order.\nAnswer: 5, 1, g, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(-5))**(1\/53) assuming v is positive.\nAnswer: v**(-4\/53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2095 - -2099. Solve 2*r - 3*k = -4 + 1, r = 4*k - u for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 2*n + w, -4*n + 0 + 1 = 3*w. Let b be (-112)\/(-5) - n\/(-5). Let j = b - 7. What is the highest common factor of 105 and j?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/((2\/19)\/(-2)). Let a = -80 - h. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -2066033*w. Let z(h) = -4*h**2. What is m(z(n))?\nAnswer: 8264132*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(2299) + 1) + -2 + (sqrt(2299) - -1*sqrt(2299)))**2 + -2 + (2*sqrt(38)*5)\/sqrt(2) + -5 + -3.\nAnswer: -56*sqrt(19) + 20682","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 1 + sqrt(76) + -3 + -2.\nAnswer: -5 + 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 38*q + 10 - 4*q**2 - 191*q**3 - q**2 + 375*q**3 - 185*q**3. Does 13 divide t(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 5 + -3 - (-1 + (-694 - -3))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*k**2 - 9*k**2 - 27*k**2 + 11*k**2.\nAnswer: -10*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 379\/289 - -1968725\/2601. Let a = q - 758. Find k such that -2\/3*k - a*k**3 - 2 + 10\/9*k**2 = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 33708389 and 286.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 p when two letters picked without replacement from {i: 2, e: 1, w: 1, p: 6, g: 10}?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*((sqrt(51) - sqrt(255)\/sqrt(5))*3 + sqrt(51)))\/(sqrt(12)*-3*1).\nAnswer: sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -591 + 591.00000247. Round w to 7 decimal places.\nAnswer: 0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -202\/35? (a) 3 (b) 2\/7 (c) 0.2 (d) 11 (e) 2\/23\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 193 = -5*c, -4*c + 6*c - 190 = -4*q. Is 9 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 353.11654753 + -350.116548. Let t = 54 - 51. Let x = t - b. Round x to seven decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 2)*(-3*u**2 + u**2 + 4*u**2)*(145*u**2 - 145*u**2 + 22*u**3).\nAnswer: -88*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**2 - 26*x - 95. Calculate t(-19).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 79, 77, 75, 73?\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 1\/(-8) - 44\/(-64)*9222?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 112232231 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 + 3.7. Let w = -4 - -11. Let s be 2\/w - 34\/21. Which is the nearest to 1? (a) z (b) -0.2 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -72 + 36. Let m be ((-40)\/(-12))\/((-8)\/r). Solve -20 = -5*f - 2*z, 2*f + m = -5*z + 44 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-194)\/36 - -2*5\/20 and 26\/8 + (2 - 4).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 - -3. Let k(c) = -3*c + 22. Let w be k(7). Suppose m*d - 9 = w. Solve 0 = -d*x - 5 - 5 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 - 57\/(-19)*16\/6. Suppose s = -o*s. Suppose -5*u + 1 + 12 = 4*z, s = 2*u - 2. Solve -z = -2*k - 6 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011010001100110110101 - -110001?\nAnswer: 1011010001100111100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 234 = 3*t + 3*t. Calculate the remainder when 233 is divided by t.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75 is divided by 33.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 106\/24 - (-3)\/12. Let r = -31\/6 + b. What is the closest to r in 3, -0.3, -5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -53442407.53549 + 53443546. Let d = o - 1138.4. Let x = d + -0.065. Round x to 4 decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -22 + (-14 - -44) + (2 - 17)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, -0.4, -13782.\nAnswer: -13782, -4, -0.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the first derivative of -p**3 - 2*p + 1. Differentiate o(q) wrt q.\nAnswer: -6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.0847 - 4.9153. What is the closest to -0.1 in t, -13, 0.3, -3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -8 (b) 0.08 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 6*c**3 - 5*c**2 - 19*c - 5. Let f(k) = -7*k**3 + 6*k**2 + 19*k + 6. Determine 5*f(q) + 6*i(q).\nAnswer: q**3 - 19*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -40024*z + 240058. Give d(6).\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, 1\/9, 8, 34 in descending order.\nAnswer: 34, 8, 1\/3, 1\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -5*q - 6. Let v be r(-5). Calculate the greatest common factor of v and 57.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 103 + -97. Which is the fourth biggest value? (a) y (b) -2 (c) 2 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*d - 2*d + 780. Let b be (-6)\/(-27) + d\/(-27). Suppose 5*f + 5*c - 265 = 0, -265 = f - b*f - 4*c. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 19*p + 668. Determine h(-35).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 87096571?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -2*r**3 - 17*r**2 - 32*r + 8. What is m(-5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -33, 22, 1 in descending order.\nAnswer: 22, 1, -3, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -97*u - 105. Let o be r(-18). Suppose 0 = -3*x + 483 + o. Does 12 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 56 and 416.\nAnswer: 2912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.4 (b) 3 (c) 7\/9327 (d) -5\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*s**2 - 7*s**2 - 5*s**2 + 7*s**2 - 8*s**2.\nAnswer: -20*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 405 + -320. Let a be 34\/t + (-6)\/(-10). Solve 2*i + 2*i - 3*k = a, k + 5 = -i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:26 AM and 6:24 AM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1874734 + 0.029?\nAnswer: -1874733.971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (83*p - 135*p - 111*p - 208*p)*(5 - 4 + 0) to j + c*p and give c.\nAnswer: -371","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the first derivative of i**4\/6 - 5*i + 4. Let k(z) be the first derivative of r(z). Let b(q) = -8*q. What is k(b(w))?\nAnswer: 128*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -242 - -385. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -21*f**2 + 420*f + 6. Calculate the least common multiple of 334 and x(20).\nAnswer: 1002","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iivivvivvvvvvivvvvv. Give prob of sequence vi.\nAnswer: 35\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -3*t**3\/2 + 979*t**2\/2 - 80033*t\/2 + 26569\/2 = 0.\nAnswer: 1\/3, 163","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 325 + -231. Suppose 2*o + l = 150. Which is the second smallest value? (a) o (b) 1\/3 (c) 5 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes before 10:55 AM?\nAnswer: 6:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**2 + 7*v + 6. Let d be -8 + 2 + 1 - 1. Let l be a(d). Suppose 3*b = -2*g + 10, -4*g + l = 4*b - 16. Solve -b*n + 0*n = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*j**2 + 21 + 3*j**3 - 21 to y*j**2 + x*j + t + m*j**3 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 + 8. Let m(i) = 6*i - 15. Let p be m(3). Is h\/(-15) - (3092\/(-20) - p) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**3 + 15*c**2 - 4*c - 6. Suppose 69*w - 30 = 67*w. Let r be s(w). Let d be r\/(-15) + (-6)\/15. Solve 2*f = -3*m + 1 + 11, 0 = -5*m + 2*f + d for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j**3\/4 + 499*j**2\/4 - 15500*j - 15625 = 0. What is j?\nAnswer: -1, 250","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 160.9832 times -1\nAnswer: -160.9832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/((a\/a**(4\/27))\/a*a*a*a*a))\/(a*a\/((a*a**5)\/a)*a))\/((a\/a**5*a)\/a**(7\/4)) assuming a is positive.\nAnswer: a**(421\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**3 - 4*b**2 - 2*b + 12. Let j be n(4). Let u(d) = d**2 - 1 - 6 + 1 + 7 - j*d. Let r(v) = -2*v - 1. Let s be r(-3). Calculate u(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 1467 = -i + 4*r, -4*i + 1149 = 5*r. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = 6*w - 9*w. Let v(z) = z**2 - 8*z - 7. Let i be v(w). Let k(p) = p**2 - 13*p + 10. Let s be k(i). Solve 2*a + 11 = 4*r - 5, 0 = -2*r + s for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2376 by -11.\nAnswer: -216","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 + 6. Suppose 4*k + y = -3*d, -d + 5*k = -0*d - 22. Solve -u + 15 = d*h, 0*u = -2*u + 4*h - 10 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the second derivative of n**6\/10 - 3*n**5\/5 + 16*n**4\/3 - 2*n**2 + 1129*n. Find the third derivative of o(k) wrt k.\nAnswer: 72*k - 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2315, 2316, 2325, 2348, 2391, 2460?\nAnswer: 2561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1435 and 0.0566?\nAnswer: 1434.9434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t - 15 = 2*t. Let q be t*(-3)\/((-3)\/23). Let h(x) = -5*x + q - 69. Let g(r) = 2*r. Give h(g(m)).\nAnswer: -10*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(44) - sqrt(11))*1 - (sqrt(11) + -2 + (sqrt(11) - sqrt(99))).\nAnswer: 2 + 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -335 minus 387422?\nAnswer: -387757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-30)*-3*6\/48*20*-38.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9116 - 5208. Suppose c + 2*y - 104 = 873, 0 = 4*c + y - u. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3036285672?\nAnswer: 2, 3, 7, 18073129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2 - (14 - -2)\/(-4). Let l be 22\/m*(-70)\/10. Let j be (-4)\/(-22) - 217\/l. Solve -2*t - j*y - 8 = 0, -t - y - 7 = -4 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*n + 3*c = -42*n - 86973, -4*c - 28994 = -n. What is n rounded to the nearest one thousand?\nAnswer: 29000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9667\/4 + 2395. Calculate the common denominator of o and 43\/5.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/19 (b) -2\/9 (c) -49 (d) 21649\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, -93, 1\/5, -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -4*t + 18. What is h(9)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -15 + 60 - 16 - 10 + 5*r. What is the tens digit of q(11)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 10*d + 4. Determine t(1).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-34539)\/435 + 83)\/(3\/(-35))?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 309, 682, 1079, 1512, 1993?\n\"Answer: 2*l**3 + 359*l - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4.6 + 5.19. Let q = x + 1.03. What is q rounded to one dp?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 263.4 + 1270.6. Let o = g + -1534.3. Suppose 2*f = -2*f + 20. Which is the fourth biggest value? (a) -1\/8 (b) f (c) o (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 54*w**2 + 58*w**2 - 30*w**2. Let p(a) = -9*a**2. Determine u(p(d)).\nAnswer: 6642*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4294794263 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 961?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5962 and 110.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 12) in base 9?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0037149 to 4 dps.\nAnswer: -0.0037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llbo when four letters picked without replacement from lllggllblcobcclllll?\nAnswer: 55\/23256","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 496609 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2687731069.\nAnswer: 2687731069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 887 + -882. Calculate the remainder when 49 is divided by i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 386195595?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 3, p: 7}. What is prob of picking 1 t and 3 p?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**5\/9 + 518*o**4\/9 + 8672*o**3\/9 + 35200*o**2\/9.\nAnswer: -2*o**2*(o - 275)*(o + 8)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2708 + -2696. What is the smallest common multiple of 2312 and n?\nAnswer: 6936","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4.2? (a) -3 (b) 2\/5 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 31640479153 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2972*l**3 - 85*l**3 + 1507*l**3.\nAnswer: -1550*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvb when three letters picked without replacement from {v: 1, c: 1, e: 2, g: 2, b: 1, j: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 32 - 29.6. Let l = 4.4 - y. Let v = -18 - -13. Which is the nearest to 2? (a) v (b) 0.4 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(216)\/(2*sqrt(12)*6).\nAnswer: sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 4\/3, 2\/7, 0.08, -5?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-g - 2 - 14*g + 13*g + 10*g**2)*(-2*g**2 + 6*g**2 - 3*g**2) in the form s*g**4 + d*g**2 + b*g**3 + y + v*g and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/((-13)\/(52\/(-1)))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b = 3*c - 17, 5*b - 4*c + 49 = 24 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -9 - (-4 - -2)*6. Which is the second smallest value? (a) -0.1 (b) 13 (c) -1\/11 (d) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00152247027 rounded to 6 dps?\nAnswer: 0.001522","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.062967952 and -1.\nAnswer: -0.062967952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t - 2*v = -122, 28171*v = 2*t + 28174*v - 63 for t.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 38249 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -377439, -377502, -377661, -377964, -378459, -379194?\n\"Answer: -8*j**3 - 7*j - 377424","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 3)*(-2 - 1 + 12)*(-9*i**5 + 2*i**5 - i**5).\nAnswer: -144*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 216947?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * -2.39.\nAnswer: 1.195","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are 77444 and 77447 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1182.\nAnswer: 2, 3, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 354*f**2 + 7*f + 7. Give i(-1).\nAnswer: 354","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**2. Let k(i) be the third derivative of i**4\/24 + 11*i**3\/6 - 2*i**2. Let x be k(-6). Let l(t) = 90 + x*t - 90 - 18*t. Give v(l(b)).\nAnswer: 169*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68*r - 64*r = 4*c + 29820, -3*c + 29813 = 4*r. Is 13 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 227516 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 9, -17, -93, -243, -491, -861, -1377?\n\"Answer: -4*b**3 - b**2 + 5*b + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10115?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -45455*u**5 + 143444*u**2?\nAnswer: -2727300*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3356736693 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 97 = -47. Let x(t) = t**2 + 18*t + 9. Let j be x(-18). What is the greatest common divisor of d and j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1913987342 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 8 - (1 + -7 - (-8 + 7 - 4))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4749.5*-18.52.\nAnswer: -87960.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -89.6 rounded to the nearest 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 2*v = 4*v - 90, -3*v = -9. What is the smallest common multiple of z and 12?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(132) + sqrt(132)*-1 + sqrt(132))*1 - 3*(sqrt(132)*-1 - sqrt(132)))\/(sqrt(60)\/(3*sqrt(720))).\nAnswer: 1008*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3436 + 3435.999994494. Round g to six dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(1\/4))**(18\/5) assuming i is positive.\nAnswer: i**(9\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.09 + -0.19. What is h rounded to 0 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 (base 6) in base 7?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the second derivative of 2*q + 0 + 1\/36*q**4 - 1\/18*q**3 - 1\/6*q**2 + 1\/60*q**5. Factor d(s).\nAnswer: (s - 1)*(s + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2 (b) 5 (c) -0.4 (d) 1.3 (e) 0.002\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 + (-97)\/(-152)*-3. Let z = 15954\/15163 + 153959587\/20742984. Let x = z - m. Find the common denominator of x and -39\/4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**2 + 24*j - 20. What is the units digit of z(18)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 4*a. Let b(d) = -2064*d**2 - 80*d. What is b(o(f))?\nAnswer: -33024*f**2 - 320*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -678701004 divided by -56558417.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*x + 16 = 5*x - 2*r, -r = 3 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -245369220 - -245369231.9999987. Let p = j - 12. What is p rounded to seven decimal places?\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*v + 35 = -16*v. Suppose w + 3 = 2*o, -4*o - 2*w + 18 = -0*w. Solve 0*d + o = -d - k, -2*d = -v*k - 29 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 12412 - 46817 = 0. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 152457?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 49, 48, 21, -44, -159?\nAnswer: -336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -66120.3 times 127?\nAnswer: -8397278.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2*l)*(-6 - 29 - 15)*(-l**3 + 0*l**3 - 2*l**3 + (4 - 2 + 0)*(0*l**3 - l**3 + 2*l**3) + 2*l**3 - 4*l**3 + l**3).\nAnswer: -200*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 27 - 14. Suppose c - 3*w = -0*w + x, -3*w - 12 = 0. Let i = 14 - 9. Sort -5, i, c.\nAnswer: -5, c, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 58416672*c - 27. Let n be g(6). Suppose 5*y + 5*w = n, -7*w = 2*y - 4*w - 140200003. Round y to the nearest one million.\nAnswer: 70000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 55\/(8415\/(-10387)) - ((-12)\/2 - (-1984)\/279).\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 18*v**3\/5 + 896*v**2\/5 + 1528*v\/5 - 384\/5.\nAnswer: 2*(v + 2)*(v + 48)*(9*v - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-45)\/(-75))\/(45\/25)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-33 - -27) + (-11)\/(-2))*-4. Suppose -55 = s*r + 4*k - 3, 0 = -4*k - 20. Let z(g) = g**3 + 17*g**2 + 17*g + 19. Determine z(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the first derivative of p**4\/4 + 2*p**3 + 3*p**2 + 4*p - 1. What are the prime factors of i(-4)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.07 and 548517114.\nAnswer: 548517114.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -100863 (b) 5 (c) 0.206\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (47*s + 6*s - 106*s)*(-14*s**2 + 5*s**2 + 16*s**2 + 5) + (1 + s - 1)*(2*s**2 + 4*s**2 - 5*s**2) + s**2 + 2*s**3 - s**2 - s**3 + 3*s**3 - s**3.\nAnswer: -367*s**3 - 265*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -413, -33, -3\/7, 2?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -5241, -5281, -5403, -5649, -6061, -6681, -7551?\n\"Answer: -7*l**3 + l**2 + 6*l - 5241","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1734 - 1630. Is u a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (166*c**2 - 71*c**4 - 7709*c**3 + 7708*c**3 - 174*c**2)*((-2 + 3 + 0)*(-1 + 2 + 1) + 1 - 4 + 4)*(2 - 3 + 3).\nAnswer: -426*c**4 - 6*c**3 - 48*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 16\/(-10) - 2243082\/(-170) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4004\/(-88))\/((-312)\/48).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the first derivative of s**6\/120 + s**5\/6 + 29*s**2\/2 + 14. Let m(d) be the second derivative of q(d). What is the third derivative of m(y) wrt y?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 866 + -836. Solve 0 = 21*o - y + 9 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 42328040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**2 - 10*b - 12. Let v be i(11). Let d be ((-12)\/16)\/(v\/28). What is the highest common divisor of 63 and d?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*x**4 - 1859*x**3 + 2*x**2 + 2864*x - 2?\nAnswer: -72*x - 11154","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0004674 to five dps.\nAnswer: 0.00047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1791387 is divided by 15554.\nAnswer: 2677","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001914176804 rounded to 5 dps?\nAnswer: 0.00191","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -311 + 304. Let d = 0.18 + -0.08. What is the closest to -1 in -4, d, i?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 27799 = u, 7*u - 4*l = 4*u - 83436. Let v = -19508 - u. Round v to the nearest 1000.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -148.944 - -149. Let n = x + 0.044. Which is the nearest to n? (a) -3 (b) 5\/4 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53332 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 647.833 - 649. What is n rounded to two dps?\nAnswer: -1.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 247, 970, 2049, 3376, 4843, 6342, 7765, 9004?\nAnswer: 9951","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2168322 is divided by 154815?\nAnswer: 912","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/41838 and -155\/138726?\nAnswer: 2635794","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 527*m + 603. What is c(-1)?\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16 + 19. Let p(r) = -r**2 - r**2 + z*r - 17 + 17. Let x(j) = j. Determine x(p(h)).\nAnswer: -2*h**2 + 3*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -48\/515 and -21\/260590?\nAnswer: 260590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12 + -7. Let f = 0.06 + 1.94. Let z = -1.5 + f. What is the closest to -1 in -4, x, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*r, r + 3*r - 6 = i. Suppose -9 = i*o + 5*b, -13*b = 2*o - 11*b. Let y = 5 - 3. Solve -5*k + 9*k + y = a, 5*k = a - o for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3139 and 181113?\nAnswer: 7787859","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -25379.13 + 25244. Let b = q - 1.87. Let r = 102 + b. Sort -2, r, 1, -0.1 in descending order.\nAnswer: 1, -0.1, -2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 439273 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -4*n - 2*n. Suppose -h + 136 = -n*d + 4*d, d - 59 = 4*h. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(12) + (sqrt(1728)*1 - sqrt(12)))\/(sqrt(216)*3))**2.\nAnswer: -19\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3280 - -3347. Does 16 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83 a factor of 189550201?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.6 + 2.47. Is 3.6 greater than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -78*f*v**2*x + 2*f*v - 19*f*x + 20*v**2 + 74*v*x wrt f.\nAnswer: -78*v**2*x + 2*v - 19*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -18 + 95 + 38 + -225\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 3*o + 4 + 4 = 0, 4*o = 0. Factor 223*p**2 - 8*p + 218*p**2 - 446*p**2 + g.\nAnswer: -(p + 2)*(5*p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11 + 3. Let x = 12 + o. Let i = -1.1 + 0.1. Sort i, x, -5.\nAnswer: -5, i, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k when three letters picked without replacement from {z: 2, m: 11, k: 6}?\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 16*u**2 - 611*u - 518. Determine n(39).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1d9e (base 16) in base 3?\nAnswer: -101101211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/6*(-3)\/4. Let h = -0.173 + -1.447. Let o = h + 1.52. What is the nearest to -1\/5 in 0.07, o, m?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gggggg. Give prob of picking 3 g.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -2*s**3 - 15*s**2 - 20*s + 7. What are the prime factors of v(-9)?\nAnswer: 2, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 368 by 92.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the second derivative of n**4\/8 + n**3\/2 + 7*n**2 - 24*n. Let u(h) be the first derivative of k(h). What is u(-5)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**4\/2 - 904*j**3 - 409511*j**2 - 816312*j - 815409\/2.\nAnswer: -(j + 1)**2*(j + 903)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 7648 - 22476 = -4*o, -2*y + 29608 = 2*o. Is 5 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 37 (b) -0.02 (c) -1\/6 (d) 10\/3 (e) 3 (f) 70 (g) -9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in seven halves of a microsecond?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**3 + 34*r**2 - 35*r + 4. Let b(w) = -5*w - 1. Suppose 2 = 5*p + 17. Calculate the smallest common multiple of b(p) and a(-35).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**3 - 18*g**2 - 19*g - 1. Is l(-17) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -36 (base 13) to base 5.\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12 - -7. Let a = j - -2. List the prime factors of (60\/9)\/((-2)\/a).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -418, -418, -416, -412?\nAnswer: -406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p - j - 7, -p + 3*j = -2*j + 7. Solve -i + 0 - p = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -i + 3*g - 19, 0 = -2*i - 2*g + 18. Let q(v) = -i*v + 2 - 2*v - 1 + 2*v**2 - 4. Is q(6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 252, 259, 278, 315, 376?\n\"Answer: f**3 + 251","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**2. Let b(l) = l + 605. Let m(p) = -2*p - 1273. Let h(s) = 5*b(s) + 3*m(s). What is q(h(x))?\nAnswer: -x**2 - 1588*x - 630436","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k**4 + 58*k**2 - 192*k + 135 = 0 for k.\nAnswer: -9, 1, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -57\/16 and 149\/737616.\nAnswer: 737616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(125) + 2)*4)**2.\nAnswer: 320*sqrt(5) + 2064","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -l + 3*y + 12, 5*l + y + 4 = 0. Suppose -1846 = -2*v + f, l*f = 3*v - 5*f - 2769. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46847279 a multiple of 219?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -276, -3, -1\/8, 3.6?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -19234 * -602\nAnswer: 11578868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1681?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1066 = -188*n + 65*n - 779 for n.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -51, -199, -427, -741, -1147, -1651, -2259?\nAnswer: -2977","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5\/(-20)*0 - -5*31. Let i = r + -101. Calculate the highest common divisor of 27 and i.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12696 is divided by 83?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/((46 - 459\/9)\/(95\/(-1)))?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*x + 12 = 2*g - 4*x, -4*g - x = 12. Let p(z) = -z + 2*z + 5*z**3 - 4*z**3. Let f(m) = 0*m + 4*m**3 - 2*m**3 + 3*m. What is g*p(w) + f(w)?\nAnswer: -2*w**3 - w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.002 (b) 52 (c) -2\/91 (d) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14648360?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 4, r: 2, b: 1, j: 1, k: 1, y: 3}. Give prob of sequence ssjy.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in three fifths of a centimeter?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (128\/24)\/(2\/6). Let k = -14 + s. Let b be (-1)\/(6\/8 + k). Is 1 > b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1 and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 e when two letters picked without replacement from ebjbbbjbmjbbemjembmb?\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**2 - 7. Let h be p(0). Let x(j) = j**3 + 6*j**2 - 6*j + 10. Give x(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -13422620331991 and -0.08.\nAnswer: -13422620331991.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the third derivative of -11\/120*n**6 - 1\/30*n**7 - 2*n - n**2 - 1\/12*n**5 + 0*n**3 - 1\/336*n**8 + 0 + 0*n**4. Factor t(c).\nAnswer: -c**2*(c + 1)**2*(c + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47900764 is divided by 5963?\nAnswer: 5948","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 52462641 (base 7) in base 4?\nAnswer: 100322323020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the first derivative of -34*f**5\/5 - 959*f**3\/3 - 319. What is the third derivative of k(l) wrt l?\nAnswer: -816*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 (base 9) in base 2?\nAnswer: 10101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = 6 + 2, -3*j - l + 10 = 0. Calculate the least common multiple of 11 and j.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 4*x + 304, -39 = x + m + 41. Suppose 316 = -57*n + 4591. What is the remainder when n is divided by (-6)\/9*x\/4?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = a + 25. Let u be a\/(((-4)\/42)\/(8\/(-12))). Let c = u - 15. Solve -c*w = -5*w + 3 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a meter in centimeters?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10 + -6. Suppose 3*n + 11 = 6764*l - 6769*l, -2*n - 14 = 2*l. Solve l + 3 = y*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - (8 + (-3 - 8)) - 0?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f + 2 = 9*f. Let r(l) = 2*l**2 + 6*l - 6. Let b be r(f). Calculate the highest common factor of 182 and b.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 79*j**3 + 5*j**2 + 35*j + 25. Let s be o(-15). Round s to the nearest 100000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1116 + 15201?\nAnswer: 14052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes before 3:57 PM?\nAnswer: 9:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 6*r**2 - 119*r + 835. What is k(9)?\nAnswer: 250","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - (-7 + (6 - 9))) + -3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f**4 + 12*f**3 - 433*f**2 + 420*f = 0. Calculate f.\nAnswer: -28, 0, 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -335 + 389. Calculate the remainder when w is divided by 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 81.49335056 to three dps.\nAnswer: 81.493","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -287, -1147, -2579, -4583, -7159, -10307?\nAnswer: -14027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -3*n + 50, -2*y = -3*n - 7*y + 64. Let w = -36 + 38. Suppose w*m = -m + n. What is the remainder when m is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**2 + 5*q + 10. Calculate z(-5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 38980 - 38978. Let b(q) be the first derivative of -7\/4*q + 13\/8*q**d - 1\/16*q**4 - 29 - 5\/12*q**3. Determine z, given that b(z) = 0.\nAnswer: -7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2099334 a multiple of 73?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -4*j + 12, -2*p + j - 6 = -4*j. Solve 0 = -0*i + p*i + 6 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 7 = -13. What is the tens digit of (-24)\/(-1) + 6\/j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -116 + 115.9. What is the nearest to -1 in -2\/7, 0.4, a?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -501, -312, 3, 444?\nAnswer: 1011","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 10\/4*16\/(-28)*7. Let v(c) = -c**2 - 10*c - 2. Determine v(n).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 27a412b0 - 4?\nAnswer: 27a412ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 + 11)*(-7)\/(-28). Let p = 2 - l. Let a be -1 - (p - (-2 + 2)). Is 0 > a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pyonnoyonbbzpn. Give prob of sequence pbp.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 203391 and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1467?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.04, 3, 1\/37, 5\/2, 1\/3 in increasing order.\nAnswer: -0.04, 1\/37, 1\/3, 5\/2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 22 - 17 - (-12)\/2. Let y(k) = k + k - k**2 - 5 + l. Let g(m) = -m**2 - 9*m - 3. Let h be g(-8). Give y(h).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 5*d = -0*n - 39, -4*d - 34 = -n. Let i = 50 - n. Let h be (-25)\/(-9) - (-8)\/i. Solve h*j + 2*p - 6 = -j, -j + 3*p = 9 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 4*w**2 - 12*w - 90. Let l be t(-5). Suppose -51*x + l*x = -69350000. What is x rounded to the nearest 100000?\nAnswer: -3700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes after 11:13 PM?\nAnswer: 2:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 - -74?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 600 and 2250.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*g + 960 = 34*g. Is g a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 + 4. Let u be (-699)\/910 - 8\/(-20). Let h = -3\/14 - u. What is the closest to 0 in x, h, -0.5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -0.734228, 12, -4 in decreasing order.\nAnswer: 12, 2, -0.734228, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -2*s - 26, 104 = 2*i + 2*i + 3*s. Suppose -w - 6 = -11. Suppose -7 = x + w*t + 3, -t - 23 = -4*x. Solve x*k = -6 + i for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 30683 (b) 2\/7 (c) -7484\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.8854 to 1 dp.\nAnswer: -5.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10 - -10. Let k = 3 + y. Let s be 3 + 6 - (1 + -2). Solve -k*q = -s - 5 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11664\/(-1008) + (10 - -2)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 45, 80, 113, 144?\nAnswer: 173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the third derivative of c**9\/3024 - c**8\/1680 - c**3\/6 - c**2. Let k(z) be the first derivative of p(z). Factor k(f).\nAnswer: f**4*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000402448 rounded to 5 dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 32, -7\/5, 0.2, 0, 2\/5, -1\/5 in ascending order.\nAnswer: -7\/5, -1\/5, 0, 0.2, 2\/5, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 i when four letters picked without replacement from innininini?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**14*(r\/r**10)\/r)\/(r**8*r**(-6\/5)))**39)**(2\/35) assuming r is positive.\nAnswer: r**(-156\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y - 4*r = -16, r = 4*y - r + 6 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the first derivative of -l**4\/6 + 56*l**3\/9 - 77*l**2\/3 + 100*l\/3 - 116. Factor y(x).\nAnswer: -2*(x - 25)*(x - 2)*(x - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-2\/7)*y**(19\/4) assuming y is positive.\nAnswer: y**(125\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*d + 20 + 4*d**4 - 21 - d**2 - d**2 in the form i*d + l*d**2 + b + r*d**4 + a*d**3 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 2212*j + 30717*j + 6.\nAnswer: 28505*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -6\/7, 5, 0, 656, 2\/19?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -738 (base 14) in base 7?\nAnswer: -4101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 + -14. Let y be 1\/(-3) + (-16)\/q. Is 18\/(y + 2) - -1 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 19 or -55?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gfqf when four letters picked without replacement from {f: 4, y: 4, g: 5, q: 2, w: 2}.\nAnswer: 1\/476","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -57571, -57565, -57559, -57553?\nAnswer: -57547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 33, 25, 17, 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/900 and 249\/405*(-387)\/(-2580).\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.19 - -0.01. Let v = p + -2.2. Put v, -1\/4, 4 in decreasing order.\nAnswer: 4, -1\/4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 39*j**6 - 211*j**5 - j**4 - 1382471*j**2?\nAnswer: 4680*j**3 - 12660*j**2 - 24*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.833 + -0.077. Let z = f + -0.09. What is the second smallest value in z, 7\/4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 5*m + 2. Suppose 3*p = m*y + 54, -105 + 24 = -4*p + y. Calculate the remainder when (-487)\/(-6) - (-6)\/(-36) is divided by p.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 + -16. Suppose 0*h - h + 285 = 5*u, 0 = -5*u + 4*h + 260. List the prime factors of u\/10 - 4\/n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30 - (-1 - 0 - (5 + (-9 - -8)))?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 859 - 588. Let u = i - 263. What is the fourth biggest value in -2, 0.4, u, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.132 in -0.1, -19\/2, -0.4, 42, -3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 5, f: 7, z: 4}. Give prob of picking 2 f and 1 m.\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the second derivative of -3623*f**7\/21 + 5*f**4\/6 + 169*f**2 + 4899*f. Find the third derivative of i(z) wrt z.\nAnswer: -434760*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15172080 by 462.\nAnswer: -32840","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 230279755.94000053 - 230279757. Let q = -219.94 + 221. Let x = n + q. What is x rounded to 7 dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 745*d**2 + 2*d - 798*d**2 + 1580*d**2)*(d**2 - 5*d**2 + 5*d**2) as k*d**4 + b*d**2 + z*d + a + p*d**3 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 9*j*l**3*q + 11*j*l**3 - 5*j*l**2*q - 2*j*l**2 - 166*l**2 + 19*l*q wrt q?\nAnswer: 9*j*l**3 - 5*j*l**2 + 19*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 37*i**2 - 10*i - 28. Is 13 a factor of x(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -11632ad2d - 2?\nAnswer: -11632ad30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p and 1 v when four letters picked without replacement from {v: 4, k: 2, p: 3}?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a + 1. Let f = 1526 + -1520. Let w(l) = 3*l**2 + 8*l + 5. Calculate f*b(k) - w(k).\nAnswer: -3*k**2 - 2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add 158 and -26.95928.\nAnswer: 131.04072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -202 - 10220222011?\nAnswer: -10220222220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -2*v. Let u = 290 - 286. Let y be 30\/(-8)*(-8)\/6 - u. Solve -5*b + y + 9 = v for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c + 2137 = 2149, 3*c + 7 = -a - 2*c + 2*c for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -504.946 - -499. What is x rounded to one decimal place?\nAnswer: -5.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 112439 is divided by 40.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*t + 2*t + 5*t.\nAnswer: 9*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.02, 3, 96, -3.\nAnswer: -3, 0.02, 3, 96","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.26 + -0.31. Let z = 0.95 - b. Sort -0.3, -2\/13, z.\nAnswer: -0.3, -2\/13, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-37156)\/(-42) - 5\/(-15)?\nAnswer: 3, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -4*o + 10. Find the third derivative of o*p**2 - 60*p**4 + 0*p + 55*p**4 + 0*p wrt p.\nAnswer: -120*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 570749297 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 + 101011110100110011?\nAnswer: 101011110100111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50023361?\nAnswer: 53, 943837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 133966\/(-1176) + 115 - (-9)\/(-12)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -3*h - 9. Let g be m(-4). What is the third derivative of -5*w**g + 4*w**3 - w**2 - 4*w**3 wrt w?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7655951 is divided by 1474.\nAnswer: 1469","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 2*r**5 + 4*r**4 - 136*r**3 + 240*r**2 = 0.\nAnswer: -10, 0, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 7287028, 7287043, 7287058, 7287073?\n\"Answer: 15*n + 7287013","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 4 = -1. Let q be (-78)\/40 + 2\/(-8). What is the nearest to q in d, 2\/3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -384 - -379.89. Let m = o - -0.11. What is the closest to -1 in -1, m, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 19*f - 484 with respect to f.\nAnswer: 19","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (93 + 164 + 222 - 11)*(p + 0*p + p) to z*p + y and give z.\nAnswer: 936","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1956 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 106 - 104. Suppose -4*n - i = -6562, 5*i + 3292 = m*n - 0*n. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01028431083 rounded to seven decimal places?\nAnswer: -0.0102843","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 133*u**3 - 193*u**3 + 66*u**3.\nAnswer: 6*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 3*s + 22 = -s, 2*q = -5*s + 31. Let b be q*((1104\/9)\/4 - 2). What is the derivative of b*h - 516*h - 10 + 22*h**3 wrt h?\nAnswer: 66*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -2*g + g - 4*g + 4*g. Let q be b(8). Let h = q + 14. 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: b\"What is the dth term of 472, 459, 440, 415, 384, 347, 304?\n\"Answer: -3*d**2 - 4*d + 479","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((g\/(g*g*g**0\/g))\/g)\/g)\/g)\/(g**(-3\/4)*g)*(g*g*g\/(g**1\/g))**(2\/5) assuming g is positive.\nAnswer: g**(-41\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((q*q*q\/q**(3\/2))\/q)\/q)\/q)\/(q**(1\/4)\/q))**9 assuming q is positive.\nAnswer: q**(-27\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 3*i - 5*x = 17, 0 = 2*i - 5*x - 29. Suppose -661 = 6*k - 817. Calculate the smallest common multiple of i and k.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 16) in base 14?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 + 341852?\nAnswer: 341850","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**2 - 2*t - 3. Let s be f(-2). Which is the second smallest value? (a) s (b) -2\/7 (c) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1500 a multiple of 100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 + 2.8. Let k = -0.3 + z. Let x = -333 - -335. What is the nearest to x in -3\/5, k, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1490333.7 months to centuries.\nAnswer: 1241.94475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1353*j**2 - 351*j**3 - 1353*j**2 - 2*j**4)*(9*j + j - 2*j).\nAnswer: -16*j**5 - 2808*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (6\/(-15)*(-4635)\/72)\/((-1)\/(-8)). Solve -5*s + p - 186 = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p + 213*p - 642. Let o(b) be the third derivative of 0 + 0*b**4 + 7\/120*b**6 + 0*b**5 - 6*b**2 + 0*b - b**p. Differentiate o(x) wrt x.\nAnswer: 21*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2351?\nAnswer: 2351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/15 in -1, 2, -2, 4.3, -1\/98?\nAnswer: -1\/98","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1159 + -598. Suppose 7*n = 4*n + s. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-2 - 0)*48\/(-192). Let o = -12 - -7. What is the nearest to h in -0.2, o, -0.1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**3 + 15*n**2 + 23*n - 171. What is v(12)?\nAnswer: 537","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81 + 69 = -6*q. What is the third derivative of -6 + 44*f**5 + 12*f**5 + 458*f**4 - 456*f**4 - 3*f**q wrt f?\nAnswer: 3360*f**2 + 48*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.6 in -1\/4, -2, 0.5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -17, 11, 3, 35, 1 in descending order.\nAnswer: 35, 11, 3, 1, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.28 - 9.78. Let h = -9.5614 - 0.1386. Let i = h - m. What is the second smallest value in i, -0.5, -12\/7, 2\/17?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1126151?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -29*m. Suppose 2*p = -2*j - 2 + 40, 0 = 3*j - 2*p - 37. What is the remainder when l(-2) is divided by j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-58*z**2 + 6*z**2 - 5*z**2)*(0 - 2*z**2 + 1 + 3*z**2) to the form k*z**4 + j*z + v + f*z**3 + o*z**2 and give k.\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -7 - 2*v - 107*v**2 + 54*v**2 + 32 + 52*v**2 as x*v + s + m*v**2 and give s.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 297 + 262*v - 540*v + 275*v to l*v + y and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 46 = 27*s. Is s greater than -0.26?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, -2, 0, -107, 852, -3 in ascending order.\nAnswer: -107, -14, -3, -2, 0, 852","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:38 AM and 6:06 AM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**3 - 3*q**2 - q - 4. Let m be w(4). Suppose 4 = -4*y + 4*t, 4*t - 2 - m = y. Suppose -y*o + 36 = -o. What is the greatest common factor of o and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes before 4:41 PM?\nAnswer: 3:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert a9d9a (base 15) to base 3.\nAnswer: 1000102022201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -2*x + 20, 3*t - 3*x + 10 = 2*t. Let i = t - -2. Which is bigger: i or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 7*r - 10. Let o be j(10). Suppose 0*u + 4*u = -o. Let k = 1 - u. Solve 5*x = -2*t + 3*x + k, -t + 3*x - 4 = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -6*u - 18. Let s be h(-5). Suppose -s*g + 4*g + 592 = 0. Suppose -2*j = -4*c - g + 224, 3*c = -2*j + 102. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.35 to 1 decimal place.\nAnswer: 6.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*j**3*s**2 + 14*j*s**2 + s**2 - 874 wrt j?\nAnswer: -9*j**2*s**2 + 14*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1637 - -1644. Solve -2*d = -t + 6, p = -4*t + 3*d + 11 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes after 2:18 PM?\nAnswer: 12:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 - 7. Let d(t) = 2*t + 4. Let z be 3*(34\/(-6) - -4). Let x(w) = 2. Let v(u) = z*x(u) + 2*d(u). Determine v(b).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 3*q, -5*u + q + 0*q + 28795 = 0. Suppose -20*c + u = 16*c. Calculate the highest common factor of 5 and c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3497 - -8513?\nAnswer: 5016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o - 4*p + 264, -3*o = 2*p + 51 - 249. Let a(b) = 2*b**2 + 39*b - 41. Let m be a(-21). What is the greatest common divisor of m and o?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4541.\nAnswer: 19, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from txtlltttxxlysultl. Give prob of picking 1 y, 1 u, and 1 l.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 237 = 3*a + 6*j, 0 = -4*a - 3*j + 311. What is the smallest common multiple of a and 80?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-558)\/(-45) - 2\/5. Let g = x - 7. Let n be 1\/g - (-114)\/30. Solve 4*h - 1 = -w, -n*w - 16 = -3*h - h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-3)\/18)\/((-3)\/18). Let z be (-1 - -1) + (k - 1). Is -2\/9 greater than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 581 - 314. What are the prime factors of k?\nAnswer: 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*r*u**4 + 163*r*u - 4303*r - 2 wrt u.\nAnswer: 8*r*u**3 + 163*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*x = -40*x + 2735. Suppose 2*b - 937 = x. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 166*r**2 - 22*r + 58. What is the hundreds digit of b(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + (-244)\/(-32) - 58*(-19)\/4560.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - (-9 + -12 + 3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.95 - -0.05. Let l = 2.15 - v. Let u = 0.45 + l. Which is the fourth biggest value? (a) 2\/23 (b) u (c) 1 (d) 0.23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 - -50 - (-1 - (-29 + 14))\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5606?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 9 = 5*o - 4*k, 5*k = 10. Let q be -28*((-9)\/6 - o). What is the units digit of q*(-1)\/(-2) + 2?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 22 = -4*u, 0 = -2*a - 5*u - 2 - 9. Let h = 61\/60 - 5\/12. Which is bigger: h or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**3 - 11*j**2 - 17*j + 41. Let g be s(-9). Solve -g = -4*y - 4*d, 15 + 7 = -y + 5*d for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1952 is divided by 488?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -163654 divided by -4\nAnswer: 81827\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 725317.\nAnswer: 725317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -2*i + i - 2*i + i. Let n(l) be the third derivative of l**7\/2520 - l**4\/12 - l**2. Let x(j) be the second derivative of n(j). Determine q(x(t)).\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72 = 33*k - 15*k. Let v(u) be the second derivative of 0*u**k + 1\/4*u**5 + 5\/6*u**3 + 0*u**2 - u + 0. What is the second derivative of v(h) wrt h?\nAnswer: 30*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 100 and 5714950?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -73*f + 688. Let l(g) = -30*g + 276. Let o(a) = 5*k(a) - 12*l(a). Calculate o(27).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-164)\/(-3))\/(36\/54)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (3 + 2 - 3) + -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*y**2 + 6*y**2 - 18*y**2)*(-2 + 7 + 1)*(5 - 1 + 2 + (0 + 2 - 1)*(-4 + 3 + 3)).\nAnswer: -1152*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/(45\/80) - (-3 + -2). Which is the third biggest value? (a) l (b) 0.3 (c) 22\/5 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -43715.6386 and 5.41881?\nAnswer: 43721.05741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the third derivative of -c**4\/24 + 5*c**3\/6 - 2*c**2. Is 8 a factor of w(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2139, 2144, 2149?\nAnswer: 2154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -15*h + 28*h - 14*h - 10 for h.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-11*49 - 3) + 2 - -5. Let m = f - -553. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10994 is divided by 159?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 69*z + 22*z + 14 - 104*z + 18*z. Determine s(6).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oonuqyau. Give prob of picking 1 u and 1 y.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes before 10:06 AM?\nAnswer: 7:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 43636040 (base 7) in base 6?\nAnswer: 212310402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7.8 + -8. Let u = -0.2 - -1.2. Let x = -18 - -13. Which is the biggest value? (a) h (b) x (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the second derivative of 3*z**3\/2 + 41*z**2 - 2172*z. Calculate j(-12).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3277599 is divided by 1092386?\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*h + 4 = -61*h, -35 = 5*d + 5*h for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49 is divided by 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 815? (a) 0 (b) -1 (c) -10 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -804889*a*j**2 + 2*a*j - 2*a - 2*j**2 - 498109 wrt j.\nAnswer: -1609778*a - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1881 and 407151.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -197 + 8959. What is the thousands digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 - -2.1. Suppose -8*z = 2*z - 30. Let d = 8 - z. What is the nearest to -2\/7 in d, u, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2 - 1 - (-1 - -3))*-27. Let f(h) = h**2 - 42*h - 235. Let y be f(-7). What is the highest common divisor of y and k?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -6*m + 42. Let i be g(6). Solve 0 = t - i + 7 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (4 + (-7 - -3))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 3486?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -35\/109 and 69\/8?\nAnswer: 872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3\/7 (b) 1\/3 (c) 26\/7 (d) -0.4 (e) -8\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -322 greater than or equal to -337?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*b - 2*b + 4*b - 4*b - 3*b + 4*b + (-542*b + 1097*b - 540*b)*(-1 - 1 + 3))*(-b - 1 + 1) to g + i*b + r*b**2 and give r.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0.2 (b) 9 (c) -16 (d) 18 (e) 0 (f) -0.04\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6686 - -31026. What are the prime factors of f?\nAnswer: 2, 2357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -4.9638439 and 0.2.\nAnswer: -4.7638439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -162143 or -162487?\nAnswer: -162143","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3\/6 + (-108459)\/(-18)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v + 11. Suppose 7*h - 29 = 2*h + 3*g, 10 = 4*h + 2*g. Suppose -3*k = b + 6, b = -b + 2*k + h. Determine p(b).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + n + 2 = 0. Suppose z + n = 7. Solve 3 - 8 = -z*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*m - 107 + 29 = 0 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-45)\/30 + 1441\/(-990) - (-33)\/11.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 3*o - 15. Let x be q(4). Let z = x - -13. What is the least common multiple of z and 32?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3246 > -3244?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 20\/1 - (-3 + 3). Suppose 515*y - 6 = 518*y. Sort d, 2, y in increasing order.\nAnswer: y, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -13, 4\/5, 10, 0?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.3 (b) -58 (c) -2 (d) 3\/4 (e) 39\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0\/4*-1 + -4. Let z(n) = 17 - 4*n**3 - 11 - 6*n**2 - 6 + 3*n**3 - 2*n. Determine z(s).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 2*z**3 - 7*z - 1. Let g = -12748 - -12742. Let q(k) = k**3 - 3*k - 1. Determine g*t(p) + 14*q(p).\nAnswer: 2*p**3 - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-1*(sqrt(1728) + 3*sqrt(1728))*-1*-4)**2.\nAnswer: 1769472","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the first derivative of 14*d**3\/3 + 3*d**2\/2 - 4*d + 15. Let f be r(1). Let p(k) = -14*k - f*k - 2 - 10*k + 36*k. Determine p(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + f + 5 = r, -4*r + 4*f = -20. Suppose r*n - 3*o - 36 = -7*o, 4*o = -4*n + 32. Solve -n*v + 18 = -2 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2*r**2 - 3)*(407*r**2 - 139*r**2 - 134*r**2 - 9729 - 136*r**2 + 639).\nAnswer: 4*r**4 + 18180*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:30 AM and 7:30 AM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1125) + -1)**2.\nAnswer: -30*sqrt(5) + 1126","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rnurrnn. Give prob of picking 2 r and 1 u.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 10\/(-20) + 1\/(-2). Let l(s) = -3*s. Let i be l(c). Suppose t + i*t = -4. Is t at most as big as 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**32*q*q*q*(q**(-2\/37)*q)\/q)\/((q**(-9\/7)\/q)\/(q\/q**(-1)*q)))**(-9\/8) assuming q is positive.\nAnswer: q**(-23445\/518)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*t**2 - 4*t**2 - 12 + t**2 - 3*t**4 wrt t?\nAnswer: -12*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 6*b - b - 5*b - 4*b**2. Let h be (-8)\/(-5) + (-18)\/(-45). Let m(s) = h*s + 4 - 2 - 2. Give k(m(y)).\nAnswer: -16*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 720068119 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 7*v**3 + 15*v**2 - 147*v + 1436. What is l(-8)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18250?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108*s - 1264 - 748 = 256. Solve j - l = -3 - 6, -j = -4*l + s for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -205.5 - -205.6. What is the closest to z in -18, -2, -4, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 125 divide 9737?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*l + 4*l + 13 = -3*h, l - 2*h = -6 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 51635, 52607, 53579, 54551, 55523?\n\"Answer: 972*r + 50663","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -3.8 times 142.7\nAnswer: -542.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13636991 and 2981?\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve n = -5*f + 99, -27594*f + 3*n = -27593*f - 7 for f.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 2689*h - 7464. Calculate j(3).\nAnswer: 603","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 28*r**2 + 23*r - 17. Let s(q) = -2*q**2 - 4*q + 2. Let m(c) = -j(c) - 3*s(c). Let t(a) = 7*a**2 + 4*a - 4. Determine -4*m(f) - 11*t(f).\nAnswer: 11*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 4, 2\/3, -1\/5, 1.2, 1\/21?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 783, 854, 971, 1134, 1343, 1598, 1899?\nAnswer: 2246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -124\/315 + -2\/315. Suppose -2*g = g + 9. Let f = -40 + 40. What is the closest to f in g, z, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 18 + -11. Let h be (15\/(-1))\/(-3) - 3. Solve h = 3*w - a for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than -3\/94627?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 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 l be -52*(-11)\/132 + -3. What is the second biggest value in 3, l, -2\/631?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the first derivative of -l**3\/5 + 1149*l**2\/5 - 440067*l\/5 - 1234. Suppose m(c) = 0. Calculate c.\nAnswer: 383","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five eighths of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 16*f**2 - 223*f - 11. Let a be l(14). Solve 6 = a*w + 130*z - 127*z, 9 = -3*z for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes before 8:10 AM?\nAnswer: 1:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -26 - -65 - -18 - 25\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 255 - 18. Does 6 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 109*i + 75 = 293. Solve i*m + 6*m - 8 = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4633 and 902?\nAnswer: 101926","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and 6872608.\nAnswer: 687260.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 472.42 + -402. Let j = 166 + -95. Let t = b - j. Round t to one decimal place.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74 + 164 = -3*z. Let b be 6 + (7 - (-282)\/z). Factor -36\/5*w**2 + b*w**3 + 0 - 3\/5*w**4 + 24\/5*w.\nAnswer: -3*w*(w - 2)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 - 405.07.\nAnswer: -405.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 64*c + 70. Let k be o(-1). Calculate the highest common divisor of k and 58.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and -89.187.\nAnswer: 8.9187","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 31\/4, 1\/4, -2\/9, -1\/2, 4?\nAnswer: 31\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3, s: 7, a: 2}. Give prob of sequence ss.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*c = -22*c + 27. Find the common denominator of (-2)\/3 + 311\/66 and (c\/18)\/((-10)\/37).\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15 + 17. Let b(d) = d**m + d**2 + 7 - 7. Let s(n) be the first derivative of 3*n**2\/2 - 1. Determine b(s(v)).\nAnswer: 18*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**4\/3 + 67*l**3 + 776*l**2\/3 - 788*l.\nAnswer: l*(l - 2)*(l + 6)*(l + 197)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.2, 1\/3, 8239, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 6*g**2 + 2*g - 2 - 6*g + g**3 - 4*g. Let p = -684 - -677. Calculate w(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1706779001 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the second derivative of -o**6\/6 + 94*o**5 + 3775*o**4\/12 + 315*o**3 + 75*o - 44. Let i(x) = 0. Calculate x.\nAnswer: -1, 0, 378","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 601063380 is divided by 726?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 3 k when four letters picked without replacement from kkobosooooko?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 127525?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 107*k**3 - 3*k**2 + 1. List the prime factors of l(1).\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*o**4 + 2*o**4 - o**4 + (-o**2 + o**2 - 2*o**4)*(2 - 3 + 2) + 2*o**3 - 2*o**3 + o**4.\nAnswer: -4*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**2 - 944*t - 222784.\nAnswer: -(t + 472)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**2 + 10. Calculate the remainder when 38 is divided by y(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in p**3 - 515215 + p**2 + 71104 + 0*p**3.\nAnswer: p**3 + p**2 - 444111","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 29907773641 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(33)\/(sqrt(15)\/sqrt(5)))**2 - sqrt(44)\/(sqrt(64) + (sqrt(64) - (sqrt(64) + (-2*sqrt(64) - sqrt(64)))) - sqrt(4)).\nAnswer: -sqrt(11)\/15 + 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -6*k - 22. Let i be v(-4). Solve -87*j**i - 5 - 11*j + 44*j**2 + 36*j**2 - j**3 = 0 for j.\nAnswer: -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.7, 10.7, 1, 2\/3, 2?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the third derivative of 7*o**5\/30 - 13*o**4\/8 - 34*o**3\/3 - 52*o**2. Let m be s(-28). What is m rounded to the nearest one thousand?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-4)*2\/3\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 674*p - 942. Let d(w) = -3*w. What is d(i(z))?\nAnswer: -2022*z + 2826","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1601873 is divided by 73?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 61 - 41517\/693 - 2*(-411)\/(-330)?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*d = 35*d + 3, 2*w - 2*d = 2408412. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 271974 to the power of 1\/2, to the nearest integer?\nAnswer: 522","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2 + -1)*2\/3. Let t = u + 8. List the prime factors of (-112)\/(-21) - 2\/t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 506, 1795, 3884, 6767, 10438, 14891, 20120?\nAnswer: 26119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 53317 = 15*k - 4*k, -2*k - 4*n + 9694 = 0. What is the thousands digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -75*x - 233. Calculate the remainder when h(-6) is divided by 55.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000170738 to seven decimal places.\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5 and 7895?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 40, 86, 162, 268, 404, 570, 766?\n\"Answer: 15*v**2 + v + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.019*0.5.\nAnswer: 0.0095","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(102)\/sqrt(6))**2 + sqrt(17))*4 + 1*(sqrt(170)\/sqrt(10))**2.\nAnswer: 4*sqrt(17) + 85","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**2 - 55*j + 744. Determine q(30).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*x - 12 = 28*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10339\/3 + 3441. What is the common denominator of s and -101\/168?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 545133 - 7?\nAnswer: 545124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3487 is divided by 1128?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 8\/5 + 3\/(-5). Suppose -3*j = r - 0*r - y, 0 = -r + 2*j + 1. Is 1\/(r\/3) + 2 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*q + 6*q - q + (q + 2*q - q)*(0 - 1 + 2) + (221*q - 156*q - 125*q)*(360 - 111 + 85) as g*q + r and give g.\nAnswer: -20036","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 132*y = 455 + 337 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is eighty-seven fifths of a microgram in nanograms?\nAnswer: 17400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * -46.\nAnswer: 18.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -2*u - 24. Suppose m + 13 = -6. Let h be n(m). Let j(v) = 9*v + 59. What is the units digit of j(h)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4312.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 7110 + -12?\nAnswer: 7076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iooiloaaalbzibooiaz. Give prob of picking 2 i and 2 o.\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:40 PM and 12:30 AM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 0*j = -4, 173 = -4*d + 3*j. Find the common denominator of -85\/22 and (1\/d)\/((-3)\/18).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 d when four letters picked without replacement from {d: 10, g: 4}.\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -5*k + 5387, -4302 = -0*k - 4*k + 3*i. Let n = -661 + k. Is 26 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12588973 rounded to the nearest one hundred thousand?\nAnswer: 12600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 19 = -47. Calculate the remainder when 157 is divided by t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - 47 - (-3276)\/78.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 7\/(-4) - (-16)\/(-64). Let d = 477 + -1919\/4. Which is greater: d or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -3643, -14359, -32211, -57193, -89299?\n\"Answer: x**3 - 3574*x**2 - x - 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3219119 is divided by 214578.\nAnswer: 449","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 9, g: 7}. Give prob of picking 2 g.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -34 - -162. Does 8 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28 + (2 - (6 + 14)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 34 and 313837?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 - -0.6. What is the closest to 3 in 1, f, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1375 + 1020. Let u = 176 - 321. Let y = u - o. Does 42 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11668, -11670, -11672, -11674, -11676?\nAnswer: -11678","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -37 + 44. Let a be 1 - -1 - (4 - 2). Suppose -j + a*j = -u. Solve -5*l - 13 - j = -i, -5 = i for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 4*r = -1267532, -4*o + 17*r - 22*r + 5070086 = 0. Let d be -10734*-58*1\/3. Suppose 2*k = -o + d. Round k to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**3 - 11*x**2 - 15*x + 29. Give n(12).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1047157297 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*j**2 + 849*j - 342.\nAnswer: 3*(j + 57)*(5*j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -3*b + w + 36, -4*b - 3*w = -13. Let m be (6\/21)\/(1\/14). Let x = b + m. List the prime factors of x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + ((sqrt(75)*-2*-4 - sqrt(75)) + (sqrt(75) - (2 + sqrt(75)*-3)) - (1*(sqrt(75) + sqrt(75)*1) + -6*(-1 + sqrt(75)))*4))**2.\nAnswer: -6750*sqrt(3) + 55300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes before 3:30 AM?\nAnswer: 5:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 17*l + 5 - 13*l**2 + 15 + 12*l**2 - 2*l. Let b be w(16). Solve 5*u + 5*m = 0, 4*u + 3*m + 0 = b for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 139321 and 156.\nAnswer: 1671852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1395, 1408, 1421, 1434, 1447, 1460?\n\"Answer: 13*z + 1382","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 233 (base 10) in base 12?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -w + 9*w - 6*w + 27*w to n*w + x and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 9, p: 2, l: 2, i: 3}. What is prob of sequence pip?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -1. Let f(n) = -34*n - 1. Suppose 0 = 152*u - 144*u - 8. Give u*w(m) - f(m).\nAnswer: 34*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 12*i - 57165. Does 37 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3*-1718\nAnswer: 5154","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 43704349?\nAnswer: -4\/43704349","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2033 divided by 19?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 35 - 31. Suppose 0 = 9*m - p*m - 390. Is m a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 300\/(-60)*6\/(-20)*2\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 86 = -w + 312, 2*w = -5*n - 1109. Let i = n + 665\/3. Which is the closest to 2\/11? (a) 3 (b) 5\/4 (c) -3 (d) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 19845 - 0.117.\nAnswer: 19844.883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 32252 = 2*g, -85148 = -5*g - 2*i - 4462. What are the prime factors of g?\nAnswer: 2, 3, 5, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 3*r**2 + 0*r**2 + 3*r + r**2 + 3. Let f = -2 - 0. Is n(f) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the second derivative of -f**4\/4 + 7*f**3 + 75*f**2\/2 + 85*f. Find the first derivative of z(y) wrt y.\nAnswer: -6*y + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**2 + 8*h - 3. Let x(g) = g + 1. Let o(q) = -2*x(q) - y(q). Let f be o(-9). Let p = 15 - f. Solve -p*a = -2*z - 33, a + 2*z - 21 = 6*z for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 270.5901 decades to centuries.\nAnswer: 27.05901","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 11\/4 of a hour?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -232556278 divided by -3538\nAnswer: 65731","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 12 = 4*y, -4*d + 4*y = -16 + 4. Suppose -n - 1 = -2*k - 2*k, k + 4*n - 13 = d. Let z(t) = 202*t**3 + t**2 + t - 1. Is z(k) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -5 + (sqrt(448) + sqrt(448) + sqrt(448) + sqrt(448) + 0 + 5 - sqrt(448)))**2.\nAnswer: 144*sqrt(7) + 4041","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 36*z**2 + 11*z + 9. Let l(m) = -12*m**2 - 4*m - 3. Let w(c) = 8*l(c) + 3*o(c). Let g be w(-2). Calculate the highest common factor of g and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -3*x**2. Let w(c) = 24*c - 10*c + 4*c. Determine m(w(o)).\nAnswer: -972*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 678876522.\nAnswer: 2, 3, 113146087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/49490289 != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3\/53248 + -116719631\/266240. Let d = 441 + a. Find the common denominator of d and -83\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6436403 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 12104 + 20243?\nAnswer: 32402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 10188*m**4 + 299*m**2 - m - 3. Let w(c) = -10187*c**4 - 297*c**2 + 2. Let v(u) = -3*w(u) - 2*z(u). Find the third derivative of v(y) wrt y.\nAnswer: 244440*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in three fifths of a hour?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/8, 166746, -46.\nAnswer: -46, 3\/8, 166746","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, 0.5, -123, -0.4, -3\/2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 4*y**3 - 15*y**2 - 140*y + 5. Is v(22) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 9.849561 litres?\nAnswer: 9849.561","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/57 and 62\/1527483.\nAnswer: 29022177","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 4*x = -90. Let c = 17 - x. Suppose 3*d + c*d - 2*n = 12, 4*n = -4. Solve 2*v - 6 = -d*k, 2*k + 3*v + 0*v = 7 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -0.5, 0.3, 1\/3 in descending order.\nAnswer: 5, 1\/3, 0.3, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1101229\/720 - 26941\/80. Let a = 1187 - b. Find the common denominator of a and 83\/262.\nAnswer: 2358","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -49 - -34. Let i be (m\/(-6))\/(3\/72). What is the greatest common factor of i and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.03045 and -86?\nAnswer: 2.6187","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -6 + 6\/1 + (-6 - 3)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 3 + 0)*(-3*i + 3*i + 2*i) + 5*i - 3*i + 2*i + (-i - i + 0*i)*(-3 + 3 - 1) to the form o*i + k and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000439315 to 7 decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 11*i**2. Let d(z) = 71638195*z**2. Give d(p(m)).\nAnswer: 8668221595*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7519 is divided by 1481?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 5*m - n - 148966, 0 = -5*m - 4*n + 148974. Suppose 4*t - m + 777 = 5*u, 0 = 3*t - 3*u - 21762. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -350, -548, -760, -992, -1250, -1540, -1868?\nAnswer: -2240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3175812, -6351613, -9527416, -12703221?\nAnswer: -15879028","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the second derivative of 51*s - 2\/15*s**6 - 5\/3*s**4 + 11\/3*s**3 + 0*s**2 + 0*s**5 + 0. What is the second derivative of n(l) wrt l?\nAnswer: -48*l**2 - 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b. Let h(j) = 172*j. What is u(h(s))?\nAnswer: 172*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -731863, -1463725, -2195587?\nAnswer: -2927449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77*n + 119*n - 126 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 139 = 7*l - 6*l, 5*l + 15 = 0. List the prime factors of p.\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 371?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u**2 - 33*u + 36 = 0. Calculate u.\nAnswer: -12, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the second derivative of f**8\/3360 - f**6\/720 - f**5\/120 - 11*f**4\/6 - 12*f. Let p(l) be the third derivative of s(l). What is p(-1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2978.815 + 2972. Round o to one dp.\nAnswer: -6.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 42846958?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -13147.491293 to zero dps.\nAnswer: -13147","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.53512 litres in millilitres?\nAnswer: 9535.12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*(t\/((t**(-12)\/t)\/t))\/t*t**(3\/4)\/t*t)**(1\/2)\/(t**(2\/25)*t**8)**28 assuming t is positive.\nAnswer: t**(-43673\/200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2203 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -77*h**3 + 91866*h**2 - 26512871*h - 3?\nAnswer: -462*h + 183732","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-31*v**2 + 38*v**2 - 22*v**2)*(-4 - 1 + 2) to j + l*v + n*v**2 and give n.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -102661 + 19402976\/189. Is g > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5*4\/(-540)*-6\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72639515 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-11)\/(-88) + 1*0\/2. Sort g, 8, 2\/15.\nAnswer: g, 2\/15, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((9\/(-2))\/(-3))\/((-3)\/(-4))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 418436*h**3 + 16*h + 42154?\nAnswer: 2510616*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26\/5*i**2 + 1\/5*i**3 + 10584\/5 - 1316\/5*i = 0. Calculate i.\nAnswer: -54, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**3 + 140*v**2 - 395*v - 414. What is the thousands digit of s(136)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2246991 is divided by 272?\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -464676*r + 318215.\nAnswer: -464676","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/82 and 1\/1058.\nAnswer: 43378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fbbfccbcfbbfb. Give prob of sequence cf.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 751*s. Let p(j) = -10*j**2. What is p(k(l))?\nAnswer: -5640010*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**5\/6 - 19*t**4\/6 + 17*t**3\/3 + t**2\/3 - 35*t\/6 + 17\/6.\nAnswer: (t - 17)*(t - 1)**3*(t + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1730 + 1729. Sort -2\/3, t, -5, 2 in ascending order.\nAnswer: -5, t, -2\/3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1366 and 9842713?\nAnswer: 683","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.4, 2, 3\/2, 1.6, -99, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 702?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 396971 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-464)\/40*(-1265)\/22. Round o to the nearest 100.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 6*l. Let c(r) = -5*r**2 - 3*r - 4. What is n(c(d))?\nAnswer: -30*d**2 - 18*d - 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 149729?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-3)\/(l*l\/l**(-8)) assuming l is positive.\nAnswer: l**(-13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -31 in 1825, -0.15, -0.7?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 2*k. Let o = 57 + -36. Let q(d) = 21 - o - 4*d. Give f(q(z)).\nAnswer: -8*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 96103.2l?\nAnswer: 96103200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:46 PM and 8:02 PM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/52, -4, -5, 1, 3, 2\/203?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 209 is divided by 66?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 77*u**2 - 34*u**2 - 42*u**2.\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 10144\/(-110) + (5 - (-56)\/(-10)). Let u = o + 93. Let m = -8.3 + 8. Is u greater than or equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.03 in 2, 0.05, -2, -0.13?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 16*i + 16. Let f = -28 + 35. Let m be w(f). Suppose 2*o - m = -5*u + 180, -3*o + 445 = -u. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(2\/27)*p\/(p*p**(34\/3)*p) assuming p is positive.\nAnswer: p**(-331\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-4080)\/28)\/(430\/(-105) - -4). Let j be 1*5\/(25\/w). Round j to the nearest ten.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**3 + 10*m**2 + m - 10. Determine u(10).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2765 = 3*q - v - 2766, 0 = -3*q - 5*v - 23 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 2 (b) -0.01 (c) 598\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2034.9 from 209550.\nAnswer: 211584.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/72 and -71\/12996.\nAnswer: 25992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -819252 divided by -1\nAnswer: 819252","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1039?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 219834?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 200359 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**2 + 5*d - 3. Suppose -47 = 5*z + 8. Let a = -8 - z. Determine q(a).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(360)*-4)\/sqrt(12))\/(sqrt(40) + sqrt(200)\/sqrt(5) + (-2*sqrt(120))\/sqrt(12)).\nAnswer: -6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s. Let z(w) = 6*w + 1. Let b be (-16)\/6*(-15)\/10. Suppose -2*o = 3*o - b*q + 12, 12 = 4*q. Suppose o*y - 5 = 5*y. Give y*z(m) + 5*l(m).\nAnswer: -m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5\/26 (b) -0.1 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -159.954 + 161.25561. Let m = g + -1.3. Round m to four decimal places.\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 + 4.4. Let x = 0.021 + -0.321. Which is the closest to -1\/7? (a) y (b) -1\/3 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**4\/9 + 299096*d**3\/9 - 598174*d**2\/3 + 299084*d.\nAnswer: -2*d*(d - 149542)*(d - 3)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 1621, -44 in descending order.\nAnswer: 1621, 0, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -2*f - 591. Let w(o) = 15*o**2. What is w(a(b))?\nAnswer: 60*b**2 + 35460*b + 5239215","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 110 + -1212\/11. Which is the closest to 2\/9? (a) 2\/9 (b) r (c) 4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33209.\nAnswer: 11, 3019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes after 2:20 PM?\nAnswer: 2:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the second derivative of j**3 + j**2\/2 + 5*j. Differentiate t(p) with respect to p.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -28 - -213. Let h = l - 184. Which is greater: -2\/29 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 5*z = -295. Let l = -33 + z. Does 6 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 165781 and 1736.\nAnswer: 287795816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1*584\/(-12))\/((-4)\/30). Suppose 814 = 9*o - x. List the prime factors of o.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4405 or -4402?\nAnswer: -4402","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 12 - (2 + 5 - (-44 + 23))\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 40bb - -1?\nAnswer: 40bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2 + 0 - 5) + 5. Let a = 35 - 22. Calculate the remainder when (3\/s)\/((-8)\/(-192)) is divided by a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fx when two letters picked without replacement from {f: 2, m: 1, g: 1, w: 4, x: 3}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*u + 13126 = -10*u - 10149. Calculate the remainder when u is divided by 67.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -36*m**2 + m**4 + 3*m - m**3 + 28*m**2 - 13 + 7*m**2 in the form k*m**3 + o + j*m**2 + h*m**4 + z*m and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/307650 and 49\/30?\nAnswer: 307650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 457*p + 1840. Calculate y(-4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -3*p + 4*p, 5*p + 3 = -4*f. What is the highest common divisor of f and 141?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(539)*1 - sqrt(539)) + 6*(sqrt(539) + 1) - ((sqrt(539) - (-1*sqrt(539) + sqrt(539))) + -3 - sqrt(539) - (sqrt(539) + sqrt(539) + 1)*-5))**2.\nAnswer: 56*sqrt(11) + 8625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the first derivative of k**4\/3 - 22*k**3\/3 + 18*k - 117. Let x(g) be the first derivative of m(g). Factor x(t).\nAnswer: 4*t*(t - 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 15940730 to the nearest integer?\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 55 - 10. Suppose a*m - 70 = 40*m. What is the remainder when 47 is divided by m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q + 16. Let r(y) = y - 11. Let s(v) = 5*c(v) + 8*r(v). Let z = 7 - 1. Is s(z) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (703\/57)\/((-1)\/(-1563)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.083 (b) -21 (c) 4 (d) -15.1 (e) -0.3 (f) 0.01\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 3*a + 12*a - 2*a. Let u(p) be the first derivative of -2*p**3\/3 + 697. Determine u(i(l)).\nAnswer: -338*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-852)\/(-42) - (-2)\/(-7). Suppose 4*t + 5*j - 165 = 0, 2*j = t - j - d. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 + 7273?\nAnswer: 7270","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/(-4))\/((-2)\/(-9908)). Suppose -2*u = -t - 1498, -4*u - 5*t + 547 = -x. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9*b**3*f - 9*b**3 + 8*b**2*f + 4*b**2 + 124*b*f + 393*f wrt b?\nAnswer: 54*b*f - 54*b + 16*f + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 130054?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes before 1:53 AM?\nAnswer: 1:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2 - (-4 + (-2)\/2)) + -24. Let n = -5 - j. What is the remainder when 44 is divided by n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1309 divided by 1589?\nAnswer: 187\/227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*c - 24*c + 7*c - 91*s = -3*c - 1001, -13 + 46 = 3*s for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(19)*-3 + sqrt(19))*1.\nAnswer: -2*sqrt(19) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(475)*2)**2 + (sqrt(19) + -1 + -5)**2 - (sqrt(171)\/(-4*(sqrt(9) - sqrt(900))))**2) + -4.\nAnswer: -12*sqrt(19) + 2528477\/1296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12 - 12.21. Let i = 0.01 + r. What is the closest to -1 in 0.4, i, -3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 460?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.05 - 69.95. Let g = -71.000062 - r. Round g to 5 decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 8*b - 17. Calculate q(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*a**3 + 4*a - 4*a + (-5*a**3 - a**3 - a**3)*(0 - 1 + 4) - a**3 + 9*a**3 - 10*a**3.\nAnswer: -26*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 26.608+-586468138\nAnswer: -586468111.392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/15 (b) 549 (c) -2\/31 (d) 0.1 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -19*d**2 - 11*d**5 + 9*d**2 + 0*d**5 + 0*d**5 wrt d?\nAnswer: -660*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3134329.\nAnswer: 11, 83, 3433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -217 + 219. What is the second derivative of r**4 - z*r**4 - 27*r - 48*r**2 - 34*r wrt r?\nAnswer: -12*r**2 - 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, 4, -955, 42 in decreasing order.\nAnswer: 42, 4, -1\/3, -955","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3510\/1950*10\/(-7)?\nAnswer: -18\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 240974003 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -3, 14, -14 in descending order.\nAnswer: 14, -2, -3, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 - -9. Let w(c) be the second derivative of c**6\/720 - c**5\/40 + 5*c**4\/12 - c. Let l(k) be the third derivative of w(k). What is l(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 178664, -1 in ascending order.\nAnswer: -1, 2, 178664","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2174\/189 - -786803\/1512. Let k = 10 + -541. Let c = j + k. Is c at least as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*v + v + 0*v + (3 + 7 - 7)*(-4*v + v + v) + 156 - 156 - 38*v.\nAnswer: -47*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k - v + 1 + 19 = 0, 20 = -4*v for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 3 + 2 = 0, w = -g - 1. Suppose -75 = w*j - 11. Let m = 21 + j. What is m rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3564?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the first derivative of -5*a**4\/4 - 20*a**3 - 105*a**2\/2 + 490*a + 142. Factor o(b).\nAnswer: -5*(b - 2)*(b + 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -w + 15, z + 9 = 4*z. Let s be (w\/(-6))\/(2\/(-16)). Let i be -3 + s + 1 + -2. Solve i = 5*r - 0 - 5 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yy when two letters picked without replacement from {h: 2, y: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5 + (-198)\/42 - (-9470)\/(-18396). Let i = k - -1\/146. What is the third smallest value in i, 0, -13?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*d - 7 = -25. Suppose -10 = -m + 4*v - 3*v, -5*m + 42 = -3*v. Solve -3*p + 0*p = 2*g - m, -d*g = -6 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13 + -19. Let w = -24 - b. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1016\/(-127) - (56\/(-26) + (-6)\/(-39))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/14 + 166\/(-7). Let x be (198\/v)\/(2\/(-8)). Calculate the remainder when 6\/(-27) + x\/27 is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*c**3 + 6*c**2 + 4*c**2 - 10*c**2.\nAnswer: -8*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 90778 to the power of 1\/4, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -35 + 50*x - 120*x + 35 to t*x + h and give t.\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0\/(22\/26 - (-24)\/156). Solve z = 4*v + 3*o + 17 + 15, -5*o = -4*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/20 (b) 3 (c) -69\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 91019 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange p**2 + 3*p**2 - 4 + 3 - p to q*p + j + o*p**2 and give o.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 67007 to the nearest integer?\nAnswer: 259","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.01 and 5501637 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l**2 - 12940*l - 41860900 = 0 for l.\nAnswer: -6470","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 5*k - 15, -4*k + 10 = -k - 2*g. Let s be -1 + (3 - (2 - k)). Suppose 2*b - 13 - 3 = s. Is b a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 23398?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 215918 is divided by 291?\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let w = 5.2 - 5.2042. Round w to three decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*0.013\nAnswer: 0.0065","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -455707 - 0.4.\nAnswer: -455707.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1074305759 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 7 + -9 + (0 - 1) + 6\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7243071557?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**3 - 3*d**2 + 7*d + 14. Let b be a(-4). Determine g, given that -6\/5*g + 2\/5*g**b + 4\/5 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 - 530?\nAnswer: -533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 2*l - 6. Suppose 2*q + 2*o = 12, 0 = -4*q + 3*q - 5*o + 10. Give y(q).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 3037887?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.01 + 0.29. Let z(u) = -u**2 + u + 8. Let i be z(-3). What is the closest to 1\/18 in f, 2, i?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v\/(v*v*v*v**(-2)*v))*v**(2\/3))\/(v**(-1\/3)\/v*v*v**6\/v) assuming v is positive.\nAnswer: v**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**0)**(-6\/17)\/(((h*h*h**1)\/h)\/(h**(-1\/7)*h)))\/(h**(-4)\/(h**(1\/5)*h)*h**4*h*h**(3\/4)*h) assuming h is positive.\nAnswer: h**(-7249\/2380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -904276, -904323, -904410, -904543, -904728, -904971, -905278, -905655?\nAnswer: -906108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*h*r**5 + 8*h*r**3 + h*r + 81*h + r**3 + 2 wrt r.\nAnswer: -40*h*r**3 + 48*h*r + 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -221, -495, -775, -1067, -1377, -1711, -2075, -2475?\n\"Answer: -h**3 + 3*h**2 - 276*h + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3382975 by -135319.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17692800?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 3 + 5)*(0*i**3 + 4*i**3 - 2*i**3)*(6*i - 3*i - 2*i).\nAnswer: -2*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 255 divided by 15.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**2 + 8*u + 11. Let v(f) = -11*f**2 - 5*f - 16. Let a(w) = 11*w**2 + 3*w + 16. Let b(q) = -6*a(q) - 7*v(q). Let o be b(-1). Give i(o).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 978814.3kg to tonnes.\nAnswer: 978.8143","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**2 + 4*u. Let g = -2513 + 2515. Let c(x) be the second derivative of x**4\/12 + x**3\/6 - x. Determine g*c(a) - y(a).\nAnswer: 3*a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2727*h = 5*u - 2729*h + 1 - 6, -2*u - 22*h = 112 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, y: 2, m: 2, z: 1, u: 1, d: 2}. What is prob of sequence myzm?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.107698633 to 3 decimal places.\nAnswer: 0.108","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**3 + 43*r**2 + 99*r + 144. List the prime factors of y(-38).\nAnswer: 2, 1801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**3 - i + 1. Let g(b) = 8*b**3 + 2*b**2 - 4*b + 8. Determine g(u) - 6*y(u).\nAnswer: 2*u**3 + 2*u**2 + 2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 223350874 - w**3 - 223350874.\nAnswer: -w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -53d4 + -2cb?\nAnswer: -569f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*x**2 + 0*x**2 + 10 + 10 - 15*x**2 with respect to x.\nAnswer: -38*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 19154 - 19157. Which is the nearest to 2? (a) 2 (b) -29.6 (c) 0.3 (d) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 3*o**3 - 9*o**2 + 489*o - 4748. Give u(9).\nAnswer: 1111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/39, 4, 4746?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -29972.9 + 29973. What is the nearest to -0.3 in l, 81\/7, 5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*d = 3*k - 155, 1009 = -d - 2*k + 999 for d.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -11*b**2 - 19*b + 28. Let a(r) = -4*r**2 - 6*r + 9. Let k(j) = -8*a(j) + 3*v(j). List the prime factors of k(-10).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 936080?\nAnswer: 2, 5, 11701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 2*h - 4. Let g = 11 - 8. Let d be p(g). Suppose d = 3*m - 19. Calculate the remainder when 40 is divided by m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 5 = 1. Suppose -5*z + 12 = v. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 (base 7) in base 13?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 4*t**2 - 12*t + 2. Let w be h(0). Solve -w*o = -14*o - 48 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1502*n - 594 = 1484*n for n.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 525 by -5.\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -r**2 - 1581*r - 13404.\nAnswer: -2*r - 1581","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -195*y + 10*y**2 - 4*y**2 - 8*y**2 - 49*y**3.\nAnswer: -49*y**3 - 2*y**2 - 195*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 52883 + 6*a - 52883. Let o = 9 + -9. Let v(n) = o*n**2 + 0*n**2 - 4*n**2 + 6*n**2. Give v(t(i)).\nAnswer: 72*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 4*j - 31. Suppose -w = -4*d - j, -21 - 17 = -4*w - 2*d. Is 9 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.5 - 118.5. Let b = 127.7 + a. Let c = b - 7.699989. Round c to 6 decimal places.\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 + -2. Let b(j) = 42*j**3 - j**2 - 3*j - 1. Let g be b(v). Let p = g + 61. Is 8 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 2 = -3*x. Let f = 0.12 + -0.12. Is x at least as big as f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**2 - n + 1. Let u be 5\/(-10) + 30\/4. Suppose -4*b + 6*b - k - 7 = 0, 5*k = -4*b + u. Let d(j) = -2*j**2 - 5*j + 5. Calculate b*c(h) - d(h).\nAnswer: -h**2 + 2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -151, -296, -443, -592, -743?\nAnswer: -896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaxaxaaxxpxaaxxxxax. Give prob of sequence ax.\nAnswer: 40\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -161*a**2 - 3. Let d be g(3). Let c = 15959\/11 + d. Calculate the common denominator of -47\/26 and c.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 (base 3) in base 13?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -12*g + g + 20. Which is the closest to 1? (a) 1 (b) g (c) -2\/9 (d) 2.55\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3537?\nAnswer: 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + 104 = -4*i. Let z(c) = c**2 - 1. Let a be z(-1). Which is smaller: a or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 246957920 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 162 and 342.\nAnswer: 3078","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15825559 is divided by 2484.\nAnswer: 2479","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - (0 + -4 + 2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -175.482946 to 2 dps.\nAnswer: -175.48","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 186 and 51770?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 2, 4, -119, 16\/29 in decreasing order.\nAnswer: 4, 2, 16\/29, -2, -119","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vxvv when four letters picked without replacement from {o: 4, v: 3, b: 1, x: 3}.\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -27, -56, -85, -114, -143, -172?\n\"Answer: -29*d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 4184, 5116, 6048?\n\"Answer: 932*b + 3252","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 0*x + 2 + 2*x + x - 1. Suppose -30*b - 5 = -29*b. Let r(o) = 2*o + 1. Calculate b*r(y) + 3*j(y).\nAnswer: -y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11.986 + 12. Let s = b + 0.035. Round s to two decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -369, -728, -1077, -1416?\n\"Answer: 5*r**2 - 374*r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 37937827 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 336354 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -125*v**2 - 551*v + 1568210.\nAnswer: -250*v - 551","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 66 + 38. What are the prime factors of b?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3 - -6) + (40 - -51). Solve -17*t - o = 25 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u - 4*i + 6, 4*i + 5 - 13 = 4*u. Suppose 0 = -u*p + 4*p - 286. Round p to the nearest 10.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 67.2 - 67. Which is the biggest value? (a) 2\/3 (b) s (c) 3\/5 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-48)\/9 - (-1)\/3. Let v be 6\/4*(-1)\/((-9)\/12). Sort g, v, 1 in decreasing order.\nAnswer: v, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 17*c + 140 + 64 for c.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.266 rounded to zero decimal places?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 - 14. Let o be 0 + 0 - (-2478)\/m. What is the units digit of 3\/15 - o\/15?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7762 to the power of 1\/3, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*r - 9*r - 288. Let o = 38 - r. Solve 3*m + m + k = 0, m - o*k = 9 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 483 = 6*b - 4*l, -5*l - 645 = -4*b. Is b a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -158580 less than or equal to -158640?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 109 divide 5579165?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**2 - 99*f. Let w = 196 - 194. Let n(u) = 2*u**2 - 8*u**2 + 2*u**2 + 3*u**w. Calculate s(n(l)).\nAnswer: l**4 + 99*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b - 130 - 160. Let v = b + 233\/4. Let l = -4 - -4. Is l greater than or equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the first derivative of -3*j**4 + 11*j**3\/3 + 22. Let c(w) = 4*w**3 - 4*w**2. Determine -17*c(a) - 6*t(a).\nAnswer: 4*a**3 + 2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 127207895 is divided by 2667?\nAnswer: 2663","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-20)\/w)\/(w*w\/((w\/(w\/(w\/w**25*w)*w))\/w)))\/(w*w**(-19)*w*w**(-18)\/w) assuming w is positive.\nAnswer: w**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.058*-676.9\nAnswer: -39.2602","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*q**2 + 6*q**2 - 9*q**2.\nAnswer: 8*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1934 minus -22?\nAnswer: 1956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*p - p + 4*p + (0*p + 4*p - 3*p)*(7 + 2 - 4) in the form z*p + b and give z.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 580138?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -22, 3077 in descending order.\nAnswer: 3077, -5, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1220 (base 3) to base 10\nAnswer: -51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 11*n + 206. Let s(x) = -29*x - 411. Give -2*s(d) - 5*t(d).\nAnswer: 3*d - 208","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*t**2 - 28*t**2 + 52*t**2.\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 6*y - 27. Let l be d(-3). Put 2, l, 3 in increasing order.\nAnswer: l, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 3 (b) -9594 (c) -0.4 (d) 5 (e) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-334)\/(-14)*3\/429. Let g = i - 1\/77. Which is the second biggest value? (a) 0 (b) -3\/4 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -25 + 50. Let r = 25 - p. Solve 4*f - 2*m = r, 3*f = 4*f - 3*m - 10 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/45)\/(420\/(-59850)) - (-952)\/(-16)?\nAnswer: -81\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-2))\/(46\/((-48576)\/44))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -94163 divided by 1\nAnswer: -94163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**3 + 6*g**2 + g - 3. Let q be n(6). Suppose 12 = 5*s - q*s + 4*i, 0 = -s - i + 7. Suppose -3*h + s*h = 340. List the prime factors of h.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -112*v + 104*v + 158*v.\nAnswer: 150*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 187 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and 1738164?\nAnswer: 1738164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -5552, 1, -3, -1, -16, 3 in increasing order.\nAnswer: -5552, -16, -3, -1, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**2 - 8*y + 4. Let g be k(5). Do g and -12 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -4 and 247.7499651.\nAnswer: 243.7499651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f**3\/4 - 125*f**2\/4 - 988*f - 957 = 0.\nAnswer: -66, -58, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**3 + 6*p**2 - p - 6. Let w be u(-6). Which is smaller: 1 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -6749, -6627, -6423, -6137, -5769?\n\"Answer: 41*x**2 - x - 6789","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9507768?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 117 a factor of 456146?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the third derivative of -c**8\/3360 - c**7\/1260 + c**6\/180 - 13*c**4\/24 - 9*c**2. Let g(x) be the second derivative of v(x). Factor g(r).\nAnswer: -2*r*(r - 1)*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-2)\/((((a*a\/a**(-1\/4))\/a*a)\/a)\/a))**(-3\/34) assuming a is positive.\nAnswer: a**(27\/136)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -6*s**3 - 28*s**2 + 358. Is q(-11) a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**2 + 10*r - 12. Let j be w(-11). Let z be 1 - j - 21\/6. Is z at most as big as -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes before 6:15 PM?\nAnswer: 10:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12 - -14. Let y(b) be the second derivative of b + 0*b**x + 0 + 1\/3*b**3. Let d(f) = 2*f. Calculate y(d(a)).\nAnswer: 4*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-232)\/(-6))\/((168\/72)\/(((-882)\/12)\/(-21)))\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 139333 or 139334?\nAnswer: 139333","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 9983, 10765, 11545, 12323?\n\"Answer: -g**2 + 785*g + 9199","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/2, -4, 0.3, 3920, -22.7, -2\/11?\nAnswer: -22.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*i - 22 = -k, -3*k - 1514*i + 1512*i = -43 for k.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.4 + -19.6. Let k = l - -20.9948. What is k rounded to 3 dps?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/2 - 6\/(-20). Let g = 140 + -263. Let w = 126 + g. Which is the fourth smallest value? (a) h (b) w (c) 2\/3 (d) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 715191.6ml to litres.\nAnswer: 715.1916","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-1\/2)\/(g**(-2)\/g)*g**(1\/14)\/g*g*(g*g**2)\/g assuming g is positive.\nAnswer: g**(32\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 705 - -6. What is the highest common factor of 81 and b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 40 and 28376.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that q**5\/5 - 36*q**4 + 8278*q**3\/5 - 3204*q**2 + 7921*q\/5 = 0.\nAnswer: 0, 1, 89","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5*(-2)\/14*(3\/(-123) + (-101655)\/(-83025))?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m**3 - 687*m**2 - 6645*m - 16425 = 0.\nAnswer: -219, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*s + 34*s + 12 = 0, -4*o + 32 = -3*s for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -7)*(-2)\/(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75*k - 3259 = -3634 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.4, 2, 0.07, 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) -7 (c) 1271 (d) 0.4 (e) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 185, 178, 167, 152, 133, 110, 83?\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 i when two letters picked without replacement from {h: 1, i: 1, r: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 13*y. Let j(h) = 9*h + 1875. Give j(v(o)).\nAnswer: 117*o + 1875","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c = 2*c + 20. Suppose -2*k - 8 = -12. Suppose 10 = k*d + 4. Solve -p - d*j = -8, 5*p = c*j - 6*j + 1 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f + 12, -2*f + 17 = -3*w + 6*w. Let i be 0*(-29 + 420\/15). Let o(p) = -p - 5. Let v be o(0). Sort i, v, -3, w in ascending order.\nAnswer: v, -3, i, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -i + 0*i - 2*i + (2*i + 3 - 3)*(-2 + 0 + 1) - 1 - i + 1 + 4 - 2*i - 4 + (2 - 2*i - 2)*(3 - 1 + 0) + (0 + 3 - 4)*(-5*i + 6*i - 27*i).\nAnswer: 14*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**3 - 2*p**2 + p - 7. Let w be n(3). Suppose -53 = -6*k + 3*k - w*t, -4*k + 4*t = -60. What are the prime factors of (-68)\/k*2*-2?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 430285?\nAnswer: 5, 47, 1831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3*(-2)\/3 + 1106\/14. Suppose 5*n = -l + j, -5*n - 173 = -2*l - 11. Is 5 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 585\/(-85) + (12 - (-3 - -8))?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/310 and 39\/62.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/98 and -11\/7.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ga when two letters picked without replacement from gaaa.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1\/20 - -43\/60. Let v = 1 + -2. Is m less than or equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 6 - 3 - 26*b**2 as f + s*b + h*b**2 and give h.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -7*n - 10. Let v(x) = -x. Let y(u) = -p(u) + 6*v(u). Let q be y(-8). Let i(t) = -60*t - t**q + 60*t. Let f(w) = -w. Determine f(i(c)).\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3384 and 24?\nAnswer: 3384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 58743776591 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 207 + -207.0000387. What is s rounded to 5 decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**2 - 4 + 12*k + 8 + 11 - 3.\nAnswer: 3*(k + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 x when two letters picked without replacement from ywxammamwmxmanm?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -67*y**2 - 465*y - 4. Determine x(-7).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -85*r**2 + 24*r**2 + 52*r**2 + 36*r**2.\nAnswer: 27*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12*g**3*z**2 - 3*g**3*z + g**3 + g**2*z**2 - 8206*g**2*z - 13*g*z**2 - 153*z**2 wrt z.\nAnswer: 24*g**3 + 2*g**2 - 26*g - 306","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*f + 24*s - 10 = 22*s, -17*f + 8*f + s - 5 = -5*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -3867*s**2. Let f(z) = -16*z**2. What is f(i(u))?\nAnswer: -239259024*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and -0.0379.\nAnswer: 0.00758","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1*(0 + 1\/(-3)). Let f = 16 + -15. Which is bigger: h or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n - 1. Let l be u(3). Let z be (-2)\/l + (-7)\/2. Let g = -1 - z. Solve 2*s - s = -g for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s + 1102. Let n be m(0). Suppose -5*b + y = -n, 168 = b + y - 56. What are the prime factors of b?\nAnswer: 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 + 11. Suppose k = -0*d + 3*d. Let n(y) = y**2 - y + 4. Let w be n(d). Calculate the greatest common divisor of w and 70.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9110, 7729, 6528, 5597, 5026?\nAnswer: 4905","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11.1 + -10.8. Let w = -1653\/164 + 34\/41. Put k, -4\/5, w in increasing order.\nAnswer: w, -4\/5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 2*u**2 + 4*u + 1. Let v be y(-5). Let j = 83 - 49. Let i = j - v. Solve -i*m + 0*m = -3 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.92621 + -0.07379. What is the nearest to -1 in 2, -0.5, s, 1\/5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.41 - 88.41. Let p = -88.0000185 - y. Round p to six dps.\nAnswer: -0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 36 and 3854635884?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 3359131492, 3359131493, 3359131494, 3359131495, 3359131496?\n\"Answer: k + 3359131491","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 282.3432 litres in millilitres?\nAnswer: 282343.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 134233 + -4?\nAnswer: 134228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 - (8 + -4)\/(-2). Suppose -3*t - 2*t - 2*v = -114, p*t = 5*v + 78. Calculate the greatest common divisor of t and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2230.1086 rounded to the nearest integer?\nAnswer: -2230","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -42*d**3 - 252*d**2 + 11*d + 42. Calculate h(-6).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11679 - -12187. Solve 5*b - 468 = -d for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -237 - -129.5. Let g = 6701263.50533 - 6701156. Let a = u + g. What is a rounded to 3 decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1327471 + 0?\nAnswer: 1327471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111 (base 5) to base 14.\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 36 + -41 - (0 - 8)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3002 is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3815.\nAnswer: 5, 7, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the second derivative of h**6\/15 + h**4\/24 - h**3\/6 + 3*h**2 + 8*h. Let q(k) be the first derivative of y(k). What is q(1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 546391 + -1046396. Let n = 349005 + r. What is n rounded to the nearest ten thousand?\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -5*u - 179. Let p(a) = 23*a + 716. What is 2*p(l) + 9*y(l)?\nAnswer: l - 179","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-225)\/(-1525)*(-10)\/(-720)*16.\nAnswer: 2\/61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 3*v - 8. Let y(h) = 8*h - 25. Let d(f) = -17*s(f) + 6*y(f). Let t be d(-8). Factor 9*c**2 - 2*c**2 + 0*c**2 + 5*c + 8*c**2 - 5*c**3 - t - 5*c**4.\nAnswer: -5*(c - 1)**2*(c + 1)*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7*((-4)\/14)\/(28\/196)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2*23 + 4897080\/95221\nAnswer: 38\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**3 + 2*z**2 - z + 3. Determine s(3).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2, -53, -202, -497, -986, -1717?\nAnswer: -2738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5\/4107 - 18763\/18785418. Let m = l - -136075\/6861. Calculate the common denominator of m and -28\/27.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**3 - 10*c**2 - 20*c + 48. Calculate the remainder when 1197 is divided by d(-6).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17.632 + 17.65. Which is smaller: x or 1\/2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - -5. Suppose g = t*g - 9. Suppose -5*p = -m - g*p + 9, 0 = -2*p - 2. Does 7 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0*2\/(-2))\/2. Let c(v) = v + 19. List the prime factors of c(p).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + -32 + 5 - (-23 - -18)\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 0*g - 3*g - 4*g - 31 + g**2 - g + g. Calculate the least common multiple of s(11) and 39.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11698 divided by 2.\nAnswer: -5849","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -694*v - 81. Is o(-8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48626 a multiple of 82?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -6*j**2 - 5*j. Let a(t) = -11*t**2 - 11*t. Let o(g) = -5*a(g) + 11*k(g). Let v(s) be the first derivative of -s**3\/3 + 4. Calculate o(v(l)).\nAnswer: -11*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 0*n - 10 = 2*s, 0 = n + 3. Let b be 36\/16 - (-2)\/s. Let l = 5 + -3. Is l at least as big as b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37 + 2*w**3 - 76 + 39.\nAnswer: 2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 227043628 to the power of 1\/7, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -73 - -351. Does 10 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -22224 or 3964?\nAnswer: 3964","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 10 - (-56 + 65).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101011111111011 + -1101001?\nAnswer: -101100001100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 386\/66 - (18 + -14) and 91\/6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vlalalrlvllvavvlllaa. Give prob of sequence lvrl.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -x**4 + 15*x**3 - 9*x**2 - 67*x - 42 = 0. What is x?\nAnswer: -1, 3, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 105900?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 + 31 = 20*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2551*h**3 + 1275*h**3 + 1277*h**3.\nAnswer: h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (13 + 7)\/(-2) - -8\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 15\/4 of a litre?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 478*n - 32946. What is m(69)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 718830 divided by 143766\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, -1\/2, 8, 1, -1, -70839 in decreasing order.\nAnswer: 8, 1, -1\/2, -2\/3, -1, -70839","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 5, d: 4, o: 6, p: 4}. What is prob of picking 1 p and 1 i?\nAnswer: 20\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -6 + 3 + 5 - (1 + -2)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 185 = 5*v - 5*u, -2*v - 3*u = -0*u - 59. What is the remainder when (-2)\/(1 + v\/(-30)) is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 953 = 141. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -27*l + 2116 + 584. Calculate the highest common factor of l and 70.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**2 + 14*d + 9. Let w(i) be the third derivative of i**5\/30 + 9*i**4\/8 + 3*i**3 - 6*i**2. Let x(o) = -11*g(o) + 6*w(o). Determine x(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 890571 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(1\/4)\/n)**(4\/7))**(-5) assuming n is positive.\nAnswer: n**(15\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the second derivative of p**4\/12 + 2*p. Let j(g) = 11*g**2 - g**2 - 8*g**2 - 8*g**2. Calculate m(j(k)).\nAnswer: 36*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, -0.5, -19, 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 207025.4 or -33?\nAnswer: 207025.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14488, 14487, 14486, 14485, 14484?\nAnswer: 14483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.06 (b) -3 (c) -0.2 (d) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - v - 3 - 3)*(-16 + 136 + 54) in the form s*v + u and give u.\nAnswer: -348","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01224 to 4 dps.\nAnswer: -0.0122","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**1)**(-48))**(-1)*((z\/(z*z*z*z**(1\/3)))**(-3\/4))**(-31) assuming z is positive.\nAnswer: z**(-25\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -3*x**2 + 8*x + 2725. Let f be q(0). Which is smaller: 2723 or f?\nAnswer: 2723","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 81368?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u + 7*m + 17 = 2*m, 0 = -4*u - 4*m - 20 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-7)\/2)\/1 - -4. Suppose -1\/4*n**4 - 1\/4*n**2 + 0*n + 0 + t*n**3 = 0. What is n?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/4 + (-51)\/(-12). Let g = 41 - z. Solve 4 = -h, -5*q - h = -4*h - g for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 + 7)*(-2)\/(-4). Solve d*r - 5 = -2*r - 3*p, 2*p = 2*r + 14 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 2 k when four letters picked without replacement from keekekkekk?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 55741.37 litres in millilitres?\nAnswer: 55741370","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fnjfjnffnnnnjjn. Give prob of sequence jjff.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.3, 0.4, 669?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -17644 divided by -4\nAnswer: 4411","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (17 + -6)*((-63)\/(-1386))\/((-2)\/(-56))\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 209510999 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 87 - 41. Let x = 50 - a. Suppose 0 = -x*u + 3*i + 812, 1034 = 5*u - 0*i + i. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is b87a3 + -2?\nAnswer: b87a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -310.648 (b) 0.0443 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 3*-132\nAnswer: -396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -255486.75 + 255491.75000008. Let m = q - 5. Round m to seven dps.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 295*d**3 + 54946*d**3 + 21*d - 21*d.\nAnswer: 55241*d**3 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-57)\/5 - (-121 + 37)\/7?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0, 4, -2\/11, 2, -323?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 9120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 80 + 828 = 4*a, -3*c + a - 559 = 0. Let n = -81 - c. Suppose -10*i - 6*i + 420 = 12*i. Calculate the highest common factor of n and i.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the second derivative of v**4\/12 - v**3\/2 + v**2\/2 + v. Let f be ((-8)\/(-5))\/((-6)\/(-45)*3). Give u(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 921?\nAnswer: 3, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 3 + (0 + -13 - 4) - -2.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 1 + 4 = 0. Let j = 1 - f. Suppose -y + j = -g, -5*y - g + 14 = -12. What is the remainder when 9 is divided by y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 390945119 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14672754.\nAnswer: 2, 3, 887, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pttpppteepett. Give prob of picking 2 e and 2 p.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 631317017 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3350 and 200580.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**3 - 1. Let q(f) = -2*f**3 + 2*f**2 - 2*f + 1. Suppose -35*h = -11*h - 11*h + 13. Let k(u) = -u + 5. Let c be k(6). Determine c*q(b) + h*l(b).\nAnswer: b**3 - 2*b**2 + 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-20)\/(-60))\/(0 + 2\/12). Suppose 0 = 2*f - 3*x - 190, -2*x - 96 = f - d*f. List the prime factors of f.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 74093 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1.02, 1, -12, -0.4, -4?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -52274 + 54?\nAnswer: -52220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, -7, 38 in increasing order.\nAnswer: -12, -7, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -289240 * 37\nAnswer: -10701880","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(2 + sqrt(180))*-4 - (-5 + sqrt(180) + -2)*-3)**2*-3.\nAnswer: -26967 + 3276*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12134 + -7545. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, 0.3, -695.6, 6, -0.9 in descending order.\nAnswer: 12, 6, 0.3, -0.9, -695.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -3*r**2 + 345*r - 316. Calculate b(114).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 35*l**2*m + 4*l**2 + 118*l*m**2 + 114499*m**2 wrt l.\nAnswer: 70*l*m + 8*l + 118*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*p**3 + p - p + (-p**3 + 0*p**3 - p**3)*(6 - 1 - 4) + p**3 - 8*p**3 + 3*p**3 + p**3 - p**3 + p**3 to l*p**3 + n + y*p + u*p**2 and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4167?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -725.\nAnswer: 3\/725","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 26*s**2 - 2*s - 3. Let v be r(-1). Let x(t) = 1 - v*t + 17*t**2 - 24*t + 45*t. Let k be x(-2). What is the greatest common factor of k and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 18591*z**4 + 2*z**3 + 23*z**2 + 7702812*z?\nAnswer: 223092*z**2 + 12*z + 46","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -10222.98 to the nearest one thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuqqukqq. What is prob of picking 1 q, 1 u, and 1 k?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1\/4316 + -21911\/4316. Let f be -8 - (0\/2 + -2). Is c greater than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.8 + -1. Suppose -2*q + 144 = -8*q. Let k = q + 19. Which is the second smallest value? (a) j (b) -0.1 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3*-7.931901\nAnswer: -23.795703","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -3 times -53677\nAnswer: 161031","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u + 3. Let h = 3 - -2. Determine k(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23, 276, -53, 1 in increasing order.\nAnswer: -53, 1, 23, 276","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 657*q**3*r - q**2*r + 14*q - 44601*r wrt q?\nAnswer: 1971*q**2*r - 2*q*r + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -15008402, -15008399, -15008396?\n\"Answer: 3*z - 15008405","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of 422 and 0.\nAnswer: 422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/t**(3\/16))\/(t**8\/t))\/(t**(-36)\/t**(-1\/37)))**(-21) assuming t is positive.\nAnswer: t**(-370293\/592)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 835.56907 and -3440?\nAnswer: 4275.56907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 167 and -2.056?\nAnswer: -343.352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 235 + -226. Suppose -3*n = 2*n - 45. Calculate the highest common factor of c and n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 2*k**2 - 5*k + 15. Let b(j) = j**2 - 2*j + 7. Let i(t) = 5*b(t) - 2*w(t). Differentiate i(l) with respect to l.\nAnswer: 2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.1 (b) -5 (c) 4 (d) 21252 (e) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 2\/15, 4, -0.1, -8?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.859 - -0.78. Let m = -0.0790077 - q. What is m rounded to six dps?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 5*r = 0. Suppose 12*b - 1608 = -r*b. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-5)*110\/198?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -164793 + 3*b**2 + 164793.\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 - 1. Let p = -11 + 8. Let w be (1\/(-3))\/(1\/p). Solve 8 = i*k - 4*d, 3*k - 5*d - 1 - w = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*f**3*g**2 + 4*f**3 + 12*f**2*g**2 + f**2*g + 3*f wrt f.\nAnswer: -12*g**2 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x - 35*x - 8*x)*(-1 + 1 - x**3).\nAnswer: 45*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84380 is divided by 1029?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the third derivative of 0 + 4\/3*l**3 + 1\/3*l**4 - 2*l**2 + 0*l. Differentiate r(g) with respect to g.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**14*n)\/(n**(-2)\/n)*n\/((n**2*n)\/n)*n*n*n\/(n*n\/(n\/(n**(1\/11)*n))))**(-13\/5) assuming n is positive.\nAnswer: n**(-2561\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 926 and 3976?\nAnswer: 1840888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -888347 = -47*g + 788331. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 4*r + 19. Let w(g) = g**2 - 6. Let s be w(0). Let f be n(s). Which is bigger: -11 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -14886, -14887, -14888, -14889, -14890, -14891?\n\"Answer: -v - 14885","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16 - 11. Suppose 0 = 4*f - n*d - 41, -5*f - 4*d - 24 + 106 = 0. Calculate the remainder when f is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -12*4\/(-6) + -3. Suppose -1 = -2*f + t. List the prime factors of f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -430*v + 4736. Calculate d(11).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -8\/186921 and 103\/26082.\nAnswer: 1121526","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 278 a factor of 494332?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 166, 7, -1\/8 in increasing order.\nAnswer: -1\/8, 7, 166","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20 (base 15) to base 11.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 19\/((-114)\/(-42)) + 46\/(-4)\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 2*x - 156 = 2*s, 310 = 4*x - 5*s. Let m = x + -84. Let i(k) = k**3 + 4*k**2 - k + 2. Determine i(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1858668, 1858674, 1858680, 1858686?\nAnswer: 1858692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:19 PM and 12:24 AM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1364 or -263296\/193?\nAnswer: -263296\/193","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 1945*k - 72060. Determine l(37).\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 47*p**3 + 0 - p + 3 - 5 + 1. Is d(2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hxchxvhldcvvccvchxlc. Give prob of sequence vx.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a - 4. Let f(r) = -2908452*r**2. Determine u(f(n)).\nAnswer: -2908452*n**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -147.981511023 - 1032.604398507. Let i = 1.40782047 - k. Let j = 1182 - i. Round j to three decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -7, 1, 3, 19, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 4*d - 4 - 1 = 0, 4*i + d - 20 = 0. Let l(p) = 3*p + 0*p - 7*p + i*p. Let c(j) = j - 1. Let w(y) = 3*y - 6. Let t(u) = -6*c(u) + w(u). Give l(t(b)).\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 3*b + 10 = -41, 5*w + 2*b = 187. Suppose 1385 = -34*o + w*o. Does 13 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*s + 60*s - 21*s + 29*s + 74*s.\nAnswer: 133*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.04942 - 0.049. Round s to four dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 3*k**2 - 38*k - 18. Let q be u(8). Let p = q - -171. Is p a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 387\/785 != -64?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 12.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -2*g - 8. Let s(p) = -p - 4. Let o(q) = -4*n(q) + 9*s(q). Suppose -3*k = 5*j + 75, 0 = 4*j - 2*k - k + 33. Does 4 divide o(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1\/(10\/(-8)))\/(((-664972)\/9010)\/77). Which is smaller: m or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 64\/9 - 131\/18. Let o = 1 - 2. Let i = 0 - o. Which is the third biggest value? (a) i (b) q (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(0 + sqrt(11)) + sqrt(66)\/(-1*sqrt(6)))*-4.\nAnswer: 16*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the second derivative of 185*q**6\/6 - 467*q**4\/12 - 1400*q. Find the third derivative of o(f) wrt f.\nAnswer: 22200*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2 - (-1 + 2 + 1))\/(-2). Let h(w) = 1. Let o(q) = q**3 - 17. Let g(a) = a**3 + a**2 - 4*a - 3. Let s be g(-2). Let c(t) = s*h(t) - o(t). What is c(l)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (27\/((-891)\/12))\/(91224\/2772)?\nAnswer: -2\/181","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/56 + (-1410)\/(-1316) + 53\/(-51)\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/2820 and -47\/1600.\nAnswer: 225600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes after 1:46 AM?\nAnswer: 4:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -13*g - 6380 + 6380. Let r(h) = -3*h. Determine y(r(i)).\nAnswer: 39*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 + 203 = -951*g + 915*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-99910)\/(-48) + 10\/15. Let g = -2078 + u. What is the common denominator of g and 86\/112 - (-2)\/14*-1?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25, 50, 101, 184, 305?\nAnswer: 470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1631140?\nAnswer: 2, 5, 7, 61, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-z**2 + 0*z**2 - 2*z**2)*(803 - 803 + 74*z) in the form o*z**3 + s*z**2 + f + p*z and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (15 + -4 - 10)*1\/5. Which is the closest to -2\/15? (a) v (b) -0.2 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*b**2 + 2*b**2 - 15 + b**2.\nAnswer: 3*b**2 - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**3 + q - 9. Let m be f(0). Let p(s) = 2*s + 2. Suppose -j = -6*j. Let w(a) = j*a + 9 + 6*a + 2*a. Calculate m*p(g) + 2*w(g).\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-70 + -68)*1\/39 - (-3 + (2 - 3))?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -21 (base 15) to base 4\nAnswer: -133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-3)\/(12\/2))\/(2\/(-8)). Suppose -345 = -v + 3*d + 10, 3*d - 737 = -f*v. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11190009 is divided by 58.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -240 divided by 60.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 159*-834297\nAnswer: -132653223","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/8*-4*1.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1204, -5085, -11752, -21205, -33444, -48469, -66280?\nAnswer: -86877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.23, 0.3, -2\/113 in descending order.\nAnswer: 0.3, -2\/113, -0.23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 82.021 - 82. Let g = u - -0.099. Which is the third biggest value? (a) g (b) 2 (c) -2 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(-1\/5))\/q*q**4*(q**(-3\/5)\/q)\/(q\/((q*q**(-3)*q)\/q*q)) assuming q is positive.\nAnswer: q**(1\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 574*a - 298*a - 281*a.\nAnswer: -5*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/42*(-32)\/24?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 367.4949 millilitres to litres.\nAnswer: 0.3674949","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.1 (b) 3 (c) 0.1666 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.6 and 51?\nAnswer: 50.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**3 - 295*g**2 - 885*g - 2622. What is n(-292)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16 - 28 + 15)*(236 - 236 + 13*p).\nAnswer: 39*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9*2)\/(((-6270)\/(-152))\/55).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = 4*l - 19, 0*c + 1 = c. Let h = l - 3. What are the prime factors of h\/(10\/(-12) - -1)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - (3 - 3)) + -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 487034?\nAnswer: 2, 243517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -21986 (base 10) in base 9?\nAnswer: -33138","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4584661 - -41.849.\nAnswer: 4584702.849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -111 + 0*v + 96 + 0*v - 2*v as l + p*v and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 s, 1 y, and 1 q when four letters picked without replacement from {y: 2, w: 1, g: 1, q: 2, s: 1, b: 1}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/5 + 45\/25. Let b(r) = r - 3*r - m*r. Let q(u) = -u**2 - 17*u. Let s(n) = 9*b(n) - 2*q(n). What is the second derivative of s(l) wrt l?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -50462.4 + -1456215\nAnswer: -1506677.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -437 + 437. Put 2, -4\/7, -2\/9, o in descending order.\nAnswer: 2, o, -2\/9, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 3, -14, -57, -138, -269, -462, -729?\n\"Answer: -2*q**3 - q**2 + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 + 0. Let v = 0 - h. Put -6, -2, v in descending order.\nAnswer: v, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.037 - 0.337. Let h(f) = -f - 7. Let r be h(-9). Let x be (-12)\/(-15)*(-1)\/r. Which is the nearest to 1\/4? (a) m (b) x (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.48 - -11.68. Let k = g + -11. Which is the nearest to 3\/4? (a) k (b) -2\/3 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 49 - (-66 - (-5 + -93)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 140 and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l + l - l)*(-22*l**2 - 346*l**2 + 81*l**2 - 2).\nAnswer: -861*l**3 - 6*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -188, -765, -1728, -3077, -4812, -6933, -9440?\nAnswer: -12333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1068, -2125, -3182, -4239?\n\"Answer: -1057*v - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**2 + 14*g - 93. Let i be f(-19). Let u be (-6)\/i + (-5 - (7 + -10)). Let k(w) = -w**2 - 5*w - 5. Let p be k(-4). Sort -4, p, u in descending order.\nAnswer: p, -4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -578.9 + 579. Sort 0.06, -2\/5, a, -0.6 in decreasing order.\nAnswer: a, 0.06, -2\/5, -0.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (170 + 335 - 136 - 61 + 401)*(23*a - 18*a - 16*a) in the form t + c*a and give c.\nAnswer: -7799","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -9821*d - 628540. What is y(-64)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o**2\/5 - 185364*o\/5 - 8589953124\/5 = 0 for o.\nAnswer: -92682","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**3 + 6*v**2 - 17*v - 14. Let l be n(-12). Let w = 93 + l. What are the prime factors of w\/(-63) + 2\/(-9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -722448 divided by -6?\nAnswer: 120408","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 16) to base 14\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 953 is divided by 252?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**3 + t**2 + t + 1. Let z be 4\/16 - (-1)\/(-4). Let h be n(z). Calculate the highest common divisor of h and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16412264893 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 71*j**3 + 580*j**2 + 16*j + 9. Give v(-8).\nAnswer: 649","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the third derivative of c**5\/10 - c**3\/2 - 2*c**2. Calculate the remainder when q(-3) is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6\/263 - 1901\/2630. What is the common denominator of -97\/66 and t?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -6\/11 (b) -0.1 (c) 0.05 (d) -1\/6 (e) 0 (f) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*w = -69 - 16. Let q(i) = -7*i - 2. Let d(z) be the first derivative of 3*z**2 + 2*z + 1. Calculate w*d(c) + 4*q(c).\nAnswer: 2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3508322?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 122 + -114. Sort -2, k, -3 in decreasing order.\nAnswer: k, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -192020, -192023, -192026, -192029?\nAnswer: -192032","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1214887 divided by 14.\nAnswer: 1214887\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10831?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.4 and 0.086166.\nAnswer: 0.486166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 + (-4)\/8)*-6. Let a be (-2)\/2 - (0 - -4). Is 30804\/15 - n\/a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1447653859 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 7, 0.2, -16\/9, -1\/20, 0.4, -41?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -67*i - 2 + 1 - 4. Let l be g(-3). Suppose -l = -6*t - 16. Calculate the greatest common divisor of t and 75.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1740\/84 - 2\/(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -196*c**3 - 31098424*c**2 + 17770576*c - 2538656 = 0. What is c?\nAnswer: -158666, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 10112010 (base 3) in base 13?\nAnswer: 1227","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*-28\nAnswer: 5.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4511051 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -j + 93, j + 6*o = 2*o + 68. Suppose j = -246*n + 250*n. Solve n = 2*y + 24 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, m: 1, r: 2}. Give prob of picking 1 g, 1 m, and 1 r.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s + 14 = -40*h + 39*h, 3*h + 7 = -5*s for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 + -22. Let b be (6 - 0)\/((-3)\/(-26)). Let a = b + t. Is a a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4075*k**2 + 176897*k.\nAnswer: -8150","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 7}. What is prob of picking 4 b?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.8 times 96.06001\nAnswer: -76.848008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -3943 times 193\nAnswer: -760999","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 260631 and 4845609?\nAnswer: 5319","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes before 6:08 PM?\nAnswer: 7:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.029192349 + 67.320656651. Let w = z + -67.278. Let v = -0.0723 + w. Round v to 4 decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4.2546+-0.99\nAnswer: 3.2646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 45708636 and 3036?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 674623.896 rounded to the nearest 1000000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -336 divided by 59409\nAnswer: -16\/2829","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**2 - 43*l + 39. Calculate i(42).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*z**2 - 92*z + 304.\nAnswer: 4*(z - 19)*(z - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-68)\/51*18\/(-16)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 281 - 112. Suppose 0 = p - 3*v - 162, p + 3*v + v = l. What is the units digit of p\/6*24\/15?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1.7, -6555, -1?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:05 AM and 7:22 AM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -3*x**2. Let o(u) = -2634030*u**2. Calculate q(o(a)).\nAnswer: -20814342122700*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.3 and -4579638.13568.\nAnswer: -4579637.83568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -171\/5 + 1549\/45. Let p = -284 + 2558\/9. Factor p*z**2 + c - 4\/9*z.\nAnswer: 2*(z - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -7*a - 18. Calculate l(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5\/66 - -227\/1254. Sort 3\/7, -0.15, -4, a in descending order.\nAnswer: 3\/7, a, -0.15, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 1, 5, 1\/8, 2, 19?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (76349995\/(-3) - 105\/63) + 0. What is d rounded to the nearest one million?\nAnswer: -25000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4.823 and 757?\nAnswer: 3651.011","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*j - 5 - 4*j + 5 as a*j + m and give a.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n\/(n*n**(-2\/3))))**(-20)*(n\/n**1)\/n**(3\/5)*((n*n\/n**(-5))\/(n\/((n*n**(-3\/4)\/n)\/n)))\/(n**(-6)\/(n**2*n)) assuming n is positive.\nAnswer: n**(359\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - (3 - 1)) + -3 + -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 15, -8.042, 3\/91?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 4, 187, -4, -1\/7, 2\/13?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 - -50?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -594, 7, -18, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 + 5*b + 13*b + 2*b**2 - 3*b**3 + 0*b**3 - 12*b to j*b**2 + c*b + i*b**3 + l and give l.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*b**2 - 7*b**2 + 140*b**2.\nAnswer: 133*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-20995)\/(-595) - 2\/7 is divided by 21.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1220*h**2\/17 - 422*h - 8394\/17.\nAnswer: 2*(h + 1)*(610*h - 4197)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 324*m**3 - 11*m**2 - 19*m - 17. Let a(w) = 217*w**3 - 7*w**2 - 12*w - 11. Give 11*a(c) - 7*v(c).\nAnswer: 119*c**3 + c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 2226*m. Let g(i) = -2215*i. Give 5*g(b) + 6*n(b).\nAnswer: 2281*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 25031 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 261593 is divided by 97?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5829*g = -5543*g - 4862 for g.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-5 + 5 + -3 - 7) + 1\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -34 (base 13) to base 6.\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 divided by 61?\nAnswer: 23\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 125866, 125888, 125918, 125956, 126002, 126056, 126118?\nAnswer: 126188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes after 11:20 PM?\nAnswer: 6:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 + 4. Suppose t = g - 330384 + 1220384. What is g rounded to the nearest 100000?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 87, 932 in descending order.\nAnswer: 932, 87, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of a**3*z**3 + 75*a**3*z**2 + 3*a**2*z**2 - 189*z**3 + z**2 wrt z.\nAnswer: 6*a**3 - 1134","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15*(-13)\/(2275\/(-14)).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**3 + 4*c**2 - 3*c - 6. Let p be w(-4). Let n be -2*(-3 - -1 - 0). Differentiate -6 + 7 - p*r + n*r with respect to r.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 461219 - v - 461219 - 2*v - 4*v. Let b(c) = 2*c**3 - c**2 + c. Let q be b(1). Let l(s) = -q*s + s + 0*s. Give l(k(j)).\nAnswer: 7*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 + 0. Suppose 0*y = -u + 2*y + d, u - 3*y - 3 = 0. 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 ((-164)\/(-27) + -3 + -3)\/((-10)\/(-75))?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -22\/167 - -33321\/668. Let i = 50 - f. Are i and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 to the power of 1\/3, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 19*r**2 + 383*r - 21. Determine b(-20).\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(1\/8)*v**(-6)*v**4*v**(-2\/11))**(2\/83) assuming v is positive.\nAnswer: v**(-181\/3652)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 13839709046 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*n - 5*n - 3*b + 58, -4*n - 5*b = -125 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 divided by 558?\nAnswer: 1\/93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*v**3\/7 + 64*v**2\/7 - 122*v\/7 + 60\/7 = 0. What is v?\nAnswer: 1, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/5 of a gram in milligrams?\nAnswer: 1400","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4818561 litres to millilitres.\nAnswer: 481.8561","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 14*l**4\/5 - 10424*l**3\/5 - 3153722*l**2\/5 + 8166428*l\/5 - 726960 = 0.\nAnswer: -233, 4\/7, 2, 975","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-76)\/(-6) + -2)\/((-5)\/(-15)). Let c = -29 + l. Sort c, -5, -3.\nAnswer: -5, -3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48789 to the power of 1\/2, to the nearest integer?\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11201 is divided by 318.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15490?\nAnswer: 2, 5, 1549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 117 - 387. Let l = i - -273. Solve -5*j + 2*r - 27 = 0, -j + 6 = -l*j - 4*r for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.357602233 to 4 dps.\nAnswer: 1.3576","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1302901588?\nAnswer: 2, 4507, 72271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -352*d - 10123 = 345*d + 38667 for d.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 105 = 3*k + 2*g, -156 = -4*k + 4*g. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*p + 1009 = 924 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 38 - 69 = 5*d, 33 = -3*d. Suppose -k - w = -5*w - 10, -k = w + 10. Let m = k + 0. Which is greater: r or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-n - n + 0*n)*(26*n**2 - 241*n + 117*n + 113*n - n**2 + 2 - 2 + (0 + 0 - 2*n**2)*(-4 + 0 + 5)) as r + y*n**2 + g*n + p*n**3 and give p.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*y**3 - 4*y**3 + 5*y**3 + (5*y - 5*y + y)*(y**2 + y**2 - 4*y**2) - y**3 - 3*y**2 + 3*y**2 + 0*y - y**3 + 0*y + (15 - 16*y - 15)*(y**2 - 2*y**2 - y**2).\nAnswer: 26*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 26 + -6 + -30 + 12. Sort 6, 1, r, -304.\nAnswer: -304, 1, r, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -2*q - 3*q. Let b be (-4)\/q*-3*1. Solve -b = 2*t + 2 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 14*u**3 - 3*u**2 + 3*u. List the prime factors of t(4).\nAnswer: 2, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -191 = -3*f - 2*u, 3*u = -2*f + 18 + 111. Suppose -f + 8 = -5*v. Suppose 297 = -o + 4*o. What is the greatest common divisor of o and v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5146.\nAnswer: 2, 31, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35909 divided by 7.\nAnswer: -35909\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -100 - 101000112112221?\nAnswer: -101000112120021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 75480143*x + 171794426 wrt x?\nAnswer: 75480143","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the first derivative of -5*l**3\/12 + 1160*l**2 - 1076480*l - 1993. Factor u(s).\nAnswer: -5*(s - 928)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34112.07 meters in millimeters?\nAnswer: 34112070","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14515599 by 16859.\nAnswer: -861","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirty-seven fifths of a century?\nAnswer: 8880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -159\/326 - 2\/163. What is the closest to 1 in 6, 3, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 35220.6 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j + 20 - 14. Suppose -q = -j*q + 2. Suppose -n + q*a = -1, 0*n - n = 3*a - 11. Solve -9 = -n*h - 4 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(156)\/((sqrt(120)*2)\/sqrt(10)).\nAnswer: sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -378*k**3 + 515*k**3 + 976*k**3 + 4*k**3 + 3*k**3 - 4*k**3 + (-4*k + k + k)*(-2*k + 2*k + 2*k**2).\nAnswer: 1112*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**3 - 2*t**2 + 3*t. Let v be y(-3). Let g be (-2)\/6426*1822 - 0. Let z = -2\/459 + g. Which is bigger: v or z?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 188 + -188. Which is the closest to 0.2? (a) 3 (b) 2 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 95\/2*288\/60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53623.\nAnswer: 53623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 14 - 28*m**2 - 8 - 10 in the form b*m**2 + x + f*m and give x.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -31 - -55. Calculate the least common multiple of (4*(-63)\/6)\/(28\/(-14)) and h.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -394100 and 0.4.\nAnswer: -394099.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:32 PM and 2:41 AM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 433585 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**2 + 8*u + 13. List the prime factors of l(-10).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 142 is divided by 59.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 6\/((-48)\/24)*14\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 10005?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -175*c - 36 = -179*c. Calculate the remainder when c is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-30)\/(-36)*1764\/(-168))\/((-1)\/(-4))\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**9*o*o**(-10\/9))\/(o**(2\/3))**(-1\/7))**(-2\/35) assuming o is positive.\nAnswer: o**(202\/441)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(325)*-1*4.\nAnswer: 20*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/((p**0*p)\/p)*p**19\/p*(p**(2\/13)*p)**18)**35 assuming p is positive.\nAnswer: p**(18095\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1193626 = 301*n + 1193626 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (-3 + 5 - 0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 143 a factor of 15873?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 47546?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 702 a factor of 1834326?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*p - 2*s + 5, 4*s = -4*p - 8 + 12 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 3*w - 120 = 0, -2*i + 30*w + 75 = 31*w. Suppose 34*t = -i*t + 65*t. Put t, -9, 2, 3 in descending order.\nAnswer: 3, 2, t, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*y - 6*q - 15, q + 3 = -1 + 3 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -69684969 + -488291.\nAnswer: -70173260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3199356279.\nAnswer: 3, 7, 521, 32491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**3 + 2*j**2 + 6*j + 5. Let a be z(-3). Calculate the highest common divisor of a and 80.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z**5\/2 - 4367*z**4\/2 - 4778579*z**3\/2 - 23818705*z**2\/2 - 19035768*z - 9513522 = 0 for z.\nAnswer: -2181, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 29 + -14. Suppose -2*i + 9 = -z. What is the lowest common multiple of 3\/(9\/2 + -3) and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:03 AM and 3:32 PM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 87476?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1078*v**3 - 213*v**3 - 238*v**3 - 211*v**3 - 218*v**3 - 206*v**3.\nAnswer: -8*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*h = 29*h + 5190. Is 4*(-4)\/48*h\/(-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1968*u = 940*u + 23644 for u.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.4, -1, 26\/15, 1\/8, 167.2?\nAnswer: 167.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-2*sqrt(1872) + -1)*-2*1.\nAnswer: 12 + 288*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -757*o**2 + 3*o - 30. Calculate d(0).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 16105 (base 15) in base 5?\nAnswer: 4233410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a minute in seconds?\nAnswer: 285","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10215 and 137789?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 617456.417 + -1.5\nAnswer: 617454.917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the third derivative of f**7\/385 + 4*f**6\/55 + 14*f**5\/55 + 2*f**2 + 18*f. Determine p, given that r(p) = 0.\nAnswer: -14, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 703 - 504. Calculate the remainder when m is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than 50\/1357?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:10 AM and 2:20 PM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 189947 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11452538?\nAnswer: 2, 5726269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 15586553 to the nearest integer?\nAnswer: 250","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((0\/(-11))\/(-5))\/9.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 148204811?\nAnswer: 113, 1311547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*g + 2*g = -1113. What is the second derivative of -4 + 18 - 5 + g*r**2 - 5 - 4*r wrt r?\nAnswer: 106","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from eeaeeeeeeeeee.\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 215903 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 7*l - 11. Let h(n) = -n + 1. Suppose -44*t = -634 + 370. Determine t*h(x) + a(x).\nAnswer: x - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 - -3. Differentiate -w + 2 + 4 - 2*g**2 with respect to g.\nAnswer: -4*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -2*d**2 + 14*d - 1. Let o(z) = 6*z**2 - 43*z + 2. Let v(r) = -2*o(r) - 7*p(r). Let i be v(9). List the prime factors of (-2)\/(-6)*1*i.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*m + 0*m + 13*m**3 + 12*m.\nAnswer: 13*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1101010000 - -1010?\nAnswer: 1101011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3208 * 5.\nAnswer: 16040","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 2*b = 9*s - 134, s - 55 = 5*b. What is the smallest common multiple of 13 and s?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the first derivative of -7*y**2 - 647. Let c(z) be the second derivative of 6*z + 0 + 0*z**2 + 1\/3*z**3. Determine c(n(k)).\nAnswer: -28*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.4 - 0.35. Let c = -0.29 - 0.01. What is the third smallest value in c, -1, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -594885 + 594858.9981. Let i = -26 - c. What is i rounded to three dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 + 7895c3?\nAnswer: 7895c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*p*v**3 + 4*p*v + 12*p - 68277*v**5 + 3*v - 262 wrt v?\nAnswer: 12*p*v - 1365540*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 3*a**5 + 1608*a**4 + 35676*a**3 + 141762*a**2 - 699231*a + 520182 = 0?\nAnswer: -513, -13, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1*(-1 - 0 - -2) - 1. Suppose -i - 3*i + 20 = u. Is i a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1691 and 68970817.\nAnswer: 1691","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 9*y - 15. Solve -2*g - y = -9 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u - 5*u. Let r be 314 + (-2)\/(-3)*(9 + -3). Suppose u = 5*s - 2*h - r, 4*s + 0*h + h = 257. What is the tens digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3202 times 0.05\nAnswer: 0.01601","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 3508*y + 3507*y - 7016*y. Let i(j) = -7759*j**2. Calculate i(z(q)).\nAnswer: -7759*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -p - 4*c - 60, -5*c - 558 = -3*p - 466 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3594*p - 2690*p**4 + 3594*p - 100*p**2 + 1024*p**2 wrt p.\nAnswer: -64560*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 - -1 - (2 + 2). What is the smallest common multiple of ((-2)\/(-4))\/(o\/(-20)) and 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 19 - 12)*(-122*q**4 - 121*q**4 + 22*q**4).\nAnswer: -663*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rttxrrtrrrxttttrrr. What is prob of picking 1 r and 1 t?\nAnswer: 7\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 133 + -97?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 748393420?\nAnswer: 2, 5, 37419671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 31 - 28. Suppose -3*j + 62 = -2*u - 5*j, -2*j = 5*u + 140. Let b = u + 31. What is the nearest to -0.1 in b, -0.2, c?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*c - 9*c - 15 = 0. Suppose 686 = c*h + 125. List the prime factors of h.\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 1. Let l(c) = -11*c - 11. Let h(f) = l(f) - 3*w(f). Let m(b) be the first derivative of -9*b + 3 - 7\/2*b**2. Calculate 5*h(k) - 8*m(k).\nAnswer: k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -4277049, -4277039, -4277029?\n\"Answer: 10*q - 4277059","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-2\/5))**1*(w**(-1)*w)**(2\/41)*(w*w*w*w**(-2)*w)**(-2\/5)\/(w*(w*w**(-2)\/w)\/w)**(7\/9) assuming w is positive.\nAnswer: w**(16\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*n - 553 = 931. Find the common denominator of 1*1\/(-111) - n\/(-159) and -35\/9.\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes before 5:38 AM?\nAnswer: 7:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 84 and 3759?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes before 9:52 PM?\nAnswer: 11:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*(d*d**(-20))\/d*d*d**(-13)*d*d**28*d*((d*d**(-18))\/d)\/d assuming d is positive.\nAnswer: d**(-20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 22304 + 0.2.\nAnswer: 22304.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-57100)\/(-1142))\/((-20)\/(-2)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 23 - -3. Is 13 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**4\/3 - 2*d**3\/3 - 32*d**2 + 352*d\/3 - 256\/3.\nAnswer: 2*(d - 4)**2*(d - 1)*(d + 8)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/17, -1, -2\/3, -3 in descending order.\nAnswer: -2\/17, -2\/3, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 9 = -2*u - 0*g, u - 2*g - 12 = 0. Suppose -3*c + 3*a + 3 = 0, -4*c - u*a + 14 = -8. Let i = 13 - c. What is the highest common factor of i and 36?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 34906 and 11?\nAnswer: 383966","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 148 = 245. List the prime factors of x.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 3*j - 48 - 2*j + 14*j**2 + 20 + 31. What are the prime factors of t(4)?\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(162) - (-4 + (sqrt(162) - sqrt(162)*1)) - -3*-2*sqrt(162)) + 0)**2*-2.\nAnswer: -8132 + 720*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that i**2\/9 + 237178594*i\/9 + 14063421362954209\/9 = 0.\nAnswer: -118589297","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/((a\/(a\/((a**(1\/26)*a*a)\/a)))\/a))\/a**6)**(-1\/25) assuming a is positive.\nAnswer: a**(131\/650)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-5)\/(-2)*(-1 - -9). What are the prime factors of (-2*96\/10)\/((-3)\/o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.81*-0.1.\nAnswer: 0.181","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2\/5)\/g)**12\/(g**0)**(-48) assuming g is positive.\nAnswer: g**(-84\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 10\/(1\/((-24)\/140)) + 2 + 0. Solve g*q**2 - 110\/7 - 12\/7*q = 0 for q.\nAnswer: -5, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -215, -246, -287, -344, -423, -530?\nAnswer: -671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 274962 and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(102) - ((sqrt(102) + sqrt(102)*2 - sqrt(102)) + sqrt(102))*2)\/(1*sqrt(54) + sqrt(6)).\nAnswer: -5*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 201979, 39, -1 in descending order.\nAnswer: 201979, 39, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + (29 - 29 - 100).\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = n + 5*s, -s = 2*n. Suppose 0 = -3*k + 12 - n. Solve -3*x - k*m - 15 = 0, 4*m + 13 = -x - 0*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 3, 4, -16370, 5, -5 in decreasing order.\nAnswer: 5, 4, 3, -2, -5, -16370","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*w = -5*x + 19*w, -2*x + 4*w - 14 = 0. Let s be (100\/x)\/1 - (-108)\/162. What is the highest common divisor of s and 357?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20327242?\nAnswer: 2, 13, 781817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -891a - 0?\nAnswer: -891a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -4\/7 (b) 1\/6 (c) -0.3 (d) 4 (e) 0.3 (f) -326.8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 48 - 56. Sort o, -5, -3, 6 in descending order.\nAnswer: 6, -3, -5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1489966, 1489967, 1489954, 1489921, 1489862, 1489771, 1489642?\n\"Answer: -a**3 - a**2 + 11*a + 1489957","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 283618949, 567237896, 850856843?\nAnswer: 1134475790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -28 - -97. Calculate the highest common divisor of 115 and g.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-220 - 27 - 268)*(-4 - 14*v**2 + 4).\nAnswer: 7210*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwli when four letters picked without replacement from {i: 1, l: 4, w: 6}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1ab + 1?\nAnswer: -1aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and 607846.\nAnswer: 1823538","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 take away -14.012?\nAnswer: 14.112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -193.495 to 0 dps.\nAnswer: -193","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(80)*3)**2*-5 - ((sqrt(80) - -6*(sqrt(80)*-1)**2) + (sqrt(80) + -1)*3)) + sqrt(80) + -1 + 2 + 0 + sqrt(80) + 1 + (3 + 0 + sqrt(80))*-1.\nAnswer: -14878 - 12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8? (a) -2\/9 (b) -4 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q = 4*f - 18, -14*f + 16*f + q = -1 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 0 - 2\/3*r**2 - 2\/3*r**3 + 4\/3*r = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -3*g - 8. Suppose g*d = 13 + 11. Factor r**3 + 3*r**2 + d*r**4 - 3*r**3 + 8*r**3.\nAnswer: 3*r**2*(r + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 29510 - 18744. What are the prime factors of m?\nAnswer: 2, 7, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 903.\nAnswer: 3, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sscc when four letters picked without replacement from sscccss?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 146 divide 1037914?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 509, 910, 1311, 1712, 2113, 2514?\nAnswer: 2915","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**3\/2 - 3*f**2\/2 - 18*f.\nAnswer: 3*f*(f - 4)*(f + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -486*c**4 + 3*c**3 - 3*c - 139. Let g(k) = k**3 - k - 2. Let l(y) = -3*g(y) + v(y). Differentiate l(q) wrt q.\nAnswer: -1944*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-25 - (-900)\/40)\/(12 - 818\/68)?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 7 + (-1 + -1 - -3). Let h = l + -10. Which is the second smallest value? (a) -1\/4 (b) h (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84*d + 110*d - 32*d - 55*d = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4\/173, -0.102, 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**2 + 2*h. Let x be q(-2). Suppose -c + 4*c = x. Let b be 4\/(-10) + 54\/10. Solve b = o - c*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 - -2. Suppose -9 = -v*u + 3. Let g(n) = -n**3 + 4*n**2 - 2*n. Calculate g(u).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 29*l**2 - 2*l. Let s(u) = 7078*u. What is o(s(j))?\nAnswer: 1452844436*j**2 - 14156*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5137223 to the nearest integer?\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**2 + 18*h - 20. Give n(-20).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 57920 and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hjdh when four letters picked without replacement from {d: 3, x: 2, j: 1, h: 5, s: 3, f: 1}.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -24, -3, -28 in ascending order.\nAnswer: -28, -24, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 220500726 to the power of 1\/3, to the nearest integer?\nAnswer: 604","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the third derivative of -2*l**2 + 0*l**4 + 0*l**3 + 0 + 1\/12*l**5 + 0*l. Let y(a) = 3*a - 9*a + 6*a + a**2. Determine v(y(h)).\nAnswer: 5*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2\/17 (b) -3\/7 (c) -10\/11 (d) -3 (e) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -197 + 388 - 9*f - 191.\nAnswer: -9*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -364, -225, 154, 893, 2112, 3931, 6470?\nAnswer: 9849","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-2)\/54)\/(((-5)\/(-6))\/(-5)). What is the closest to -10 in b, 5, 3\/7?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6924921 litres to millilitres.\nAnswer: 692.4921","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 753*c**4*u + 175*c**2*u - 5*c*u + 90*c + 18*u - 1 wrt c?\nAnswer: 9036*c**2*u + 350*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/4 - 354\/(-24). Is (-8)\/(-14) + 6278\/j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -511 + 513.79. Let y = a - 3. Let q = y - 0.09. What is the closest to -2\/5 in q, -5\/6, 3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d - 1. Let g(m) = -3. What is -g(s) + 2*y(s)?\nAnswer: 2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1\/2)*d)**(2\/21)*(d**(-2\/5)\/d)**(-2\/155) assuming d is positive.\nAnswer: d**(1069\/16275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 11\/((-2)\/2) - 3. Let y = -2 - r. Does 12 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 + 10. Let i(p) = -2*p + z - 2*p - p + 3*p. Calculate i(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 11 + 4 + q)*(3*q - 6*q + 2*q) as l*q + i + a*q**2 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mewwmwwwmevw. Give prob of sequence ee.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -315.3 + 299. What is z rounded to zero dps?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**3 + 12*g**2 - 5*g - 3. Let s be l(-11). Let p = s + -78. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 142176 a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 53840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 37052 - 1?\nAnswer: 37051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 12\/10 + (-1 - 0). Let n be (-690)\/(-126) - 6\/(-9). Let x = 487\/77 - n. Which is the closest to -1? (a) z (b) x (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4370129?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-132)\/(-36) + (2\/(-3))\/1. Let k be (4\/(-14))\/(6\/3). Put -4, k, s in descending order.\nAnswer: s, k, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13761 (base 8) in base 4?\nAnswer: -1133301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13 - 9. Let o = 1840 + -1853. Let s = -2 - -5. Which is the second biggest value? (a) s (b) 1\/3 (c) m (d) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -21.9 + -9.1. Let m = y - -31.3. What is the nearest to -1 in m, -0.2, -1\/6?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c\/c**(-3\/35)*c**(-5\/18) assuming c is positive.\nAnswer: c**(509\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -94*l + 89. Let c be a(-32). Suppose 25*y - 39872 = -c. Is y 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 4:05 AM and 6:58 AM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p. Let b(t) = -104*t**2. What is b(s(k))?\nAnswer: -104*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 28*a**5 - 494*a**2 - 14*a - 1990.\nAnswer: 560*a**3 - 988","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-13)\/(-3)*4 + (-1)\/3. Suppose 2*s = 5*f - t, 2 - 6 = 4*s. Is (0 - 1)\/((-2 - f)\/15395) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9.68 + -10.08. Which is the second biggest value? (a) -2\/7 (b) -529\/5 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -424*n - 1712. Determine z(-4).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 2*o - 4. Let p be k(3). Solve 0 = p*g - 10 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -429801061 and 3?\nAnswer: 429801064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -15544\/3*j + 30201992\/3 + 2\/3*j**2 = 0. Calculate j.\nAnswer: 3886","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3*(-2 - (-3 + -1)). Suppose -s + 2 = o. What is the units digit of (s - 1)*(-14)\/10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*j - 3*s + 4593 = -26*j, 3*j - 3*s = 4563. What are the prime factors of j?\nAnswer: 2, 7, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/10*(-10)\/(-2730)*-35\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4.9484 and -4.\nAnswer: 19.7936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -368206260 to the nearest one hundred thousand.\nAnswer: -368200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 107*a**3*q*s**4 - a**3*q*s + 17*a**3*s - 2*a*s**4 + 2*q wrt s.\nAnswer: 1284*a**3*q*s**2 - 24*a*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(17) + 2 + sqrt(17))**2 + 1.\nAnswer: 4*sqrt(17) + 70","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 23*t - 21*t = -97257, -5*w + 97250 = 5*t. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11000 + -10110101010110?\nAnswer: -10110100111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2*(7\/2 + -2). Suppose -o - 1 = -y. Suppose 0 = o*q - 4*q + 12. What are the prime factors of q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 136 and 2584?\nAnswer: 2584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve h - 5*y - 54 = 0, y + 3*y - 8*y - 156 = -2*h - 6*y for h.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, -5\/7, 3, 4, 0.1, 0.05524?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 364226 is divided by 317.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9691852?\nAnswer: 2, 97, 24979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 3*r + 1 + 19 = 0, 4*q = -r + 1. Which is greater: -3\/4 or q?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13 - 9. Suppose 4*g - 30 = -5*r, 5*g = 8*r - b*r - 24. Calculate the greatest common divisor of r and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w - 5*x + 20 + 14 = 0, 0 = 24*w + 2*x - 38 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g\/(g**6*g))**(-1\/35)\/(g*g\/(g\/g**(-20))*g*g**25) assuming g is positive.\nAnswer: g**(-48\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (12*11\/220)\/(33\/(-22))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ogs when three letters picked without replacement from rroorwsqwqowwqgqw?\nAnswer: 1\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 >= -1433\/71298?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-8)*(-1 + -11). Solve 5*g - f*g + 2 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - w = -5*w - 4, -5*g - 5*w + 5 = 0. Let t be (-550)\/(-143) + g*-4. What is the second biggest value in t, -4, -0.06?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -61013 + 7391*k + 61013 in the form d*k + n and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**2 - 15*z + 30. Let t(r) = -5*r + 33. Let g be t(4). Let x be a(g). What is the third biggest value in -0.2, 1\/3, x?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3456 + 2?\nAnswer: -3454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*z - 15*z + 15. Let n(q) be the first derivative of 0*q**2 - 1 - 4\/3*q**3 + z*q. Find the first derivative of n(s) wrt s.\nAnswer: -8*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 166570463 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 28, 15, 2, -11, -24, -37?\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) 31.575 (c) 5\/6 (d) -20 (e) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**2 + 0*m**2 - 3*m**2. Suppose 2*d = -k + 3 + 3, 0 = 3*k - 2*d - 10. Let u(s) = 5*s. Let v(b) = -6*b. Let q(c) = k*v(c) + 5*u(c). Calculate q(j(y)).\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8 and 2316.\nAnswer: 4632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/3*l**3 - 448\/3 - 50\/3*l**2 - 316\/3*l.\nAnswer: -2*(l + 2)*(l + 7)*(l + 16)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 254802597 is divided by 3900.\nAnswer: 3897","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(6048))\/(sqrt(6) + (1*sqrt(486) - sqrt(6) - sqrt(6)) + sqrt(6)).\nAnswer: -16*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve v - 2 = 0, 74*x - 76*x - 8 = -0*v - 4*v for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78*m - 2424 = -40*m + 63*m for m.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 14475, 14463, 14451, 14445, 14451?\n\"Answer: o**3 - 6*o**2 - o + 14481","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (165\/20)\/(10\/1240).\nAnswer: 3, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100011 + -100010100010101010?\nAnswer: -100010100011001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7514790 and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 65998*n. Let t(b) = -b. Give t(d(m)).\nAnswer: -65998*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1035932 is divided by 66?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 3 - 5 = 0. Suppose 0 = -n*x + 16 - 4. Suppose -2*a - 8 = -x*a. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 4 = -2*b. Suppose i = b*i - 12. Solve -f - f = i*n, -2*n - 12 = -2*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -46887 plus -31?\nAnswer: -46918","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.36574 to one decimal place.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -4*c**3 + c**2 + 2*c - 2. Let w be g(-2). What is the tens digit of -4 - (-2 - -1 - w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -1726*c**2 - 29344*c - 52. What is g(-17)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-24)\/(-18)*(-21)\/(-2). Find the second derivative of p*f + 17*f**2 - 15*f**2 - 11*f**2 wrt f.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7027 take away 0.06?\nAnswer: -0.7627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-52)\/(-6) - 1\/(-3). Suppose -30 = i + 2*i. Let j = w + i. Which is the third biggest value? (a) j (b) -2\/9 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 93*z + 37. Let k be (6\/4)\/(3\/44) - 5. Is s(k) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 101 a factor of 592204847?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 23*h + 52. Let r = -1 - 2. Put 3, h, r in decreasing order.\nAnswer: 3, h, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*h = -59*h + 38*h. Sort 1, -3, h, -89.\nAnswer: -89, -3, h, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 423 + -351.3. Let r = -71.699711 + j. What is r rounded to 5 decimal places?\nAnswer: 0.00029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 474*m. Let x(p) = -2814114 + 2814114 + 12*p. Give f(x(l)).\nAnswer: 5688*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/2*(7 + 1111\/(-165)). Let r = -1\/49 - 47\/98. Sort -18\/11, d, -2, r in increasing order.\nAnswer: -2, -18\/11, r, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 - -162?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -42*q. Let n(o) = 7 + 47*o + 11 - 37 - 16*o + 16. Determine n(m(h)).\nAnswer: -1302*h - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 - 9. Let z be (m\/(-6))\/((-4)\/(-6)). What is the third derivative of 12*i**2 - 17*i**z + 0*i**4 - 3*i**4 - 2*i**4 wrt i?\nAnswer: -120*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h + 5*q = -15, -3*h = q - 798 + 801 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 4 - 3)*(17*s**2 - 4 + 353*s**2 - 32*s**2) + s**2 + 2*s**2 - 5*s**2 + (4 - 3 - 3)*(-2*s**2 + 3 - 3) + s**2 - 1 + 1 as k*s + o + i*s**2 and give o.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 681072.178 rounded to the nearest 1000?\nAnswer: 681000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 3*m**2 + 42*m - 163. List the prime factors of l(-31).\nAnswer: 2, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q*q\/((q\/((q**(-5)\/q)\/q))\/q)*q)\/(q\/(q\/((q*q**(-1\/25))\/q)))*(q*q\/q**11)\/q**6)**(-35) assuming q is positive.\nAnswer: q**(3143\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:52 PM and 7:04 AM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17876?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the third derivative of -1\/24*c**4 - 1\/30*c**5 - 1\/120*c**6 + 0 + 0*c + 0*c**3 + 8*c**2. What is n in j(n) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (535\/20 + 3)*48\/84?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 44*(-18)\/(-36) + 1*3. Put 9, -2, l in ascending order.\nAnswer: -2, 9, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 11*h - 7. Let r(d) = -4*d + 2. Let q(w) = p(w) + 3*r(w). Let o(t) = -4*t - 6. Calculate -o(a) + 6*q(a).\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -10656 (base 9) in base 7?\nAnswer: -26460","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.05 and 0.0413?\nAnswer: 0.0913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**2. Let g be w(1). Let u = 4 + g. Let k(o) = o**2 - o - 3. Let d be k(u). Solve 0 = 2*f - 8, -5*p - d*f = f + 9 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19 - (23 + -5) - -5\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1699712 is divided by 267.\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 9 (b) 50 (c) 0 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 119 - 117. Calculate the greatest common factor of 7 and c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17017*x**2 - x**3 - 8518*x**2 - 8499*x**2.\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 + -10. Let b = 19 + h. Let t(k) = -8*k**2 + 36*k - 8. What is the least common multiple of t(4) and b?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -5, 5, -0.06, 249 in descending order.\nAnswer: 249, 5, 0.4, -0.06, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3015453 millennia in months?\nAnswer: 3618.5436","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 449 is divided by 134?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-928*j + 2 - 442*j + 307*j)*(-6 + 3 + 0) as r*j + a and give a.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nntbsvgv. What is prob of picking 1 t and 1 v?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -405240.5 to the nearest 10000.\nAnswer: -410000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t - 2. Let s be l(-8). Let v(c) = 11*c**2 + 6*c**2 - 49 + 5*c**3 - 2*c**3 + 3*c - 4*c**3. Let u be v(17). Which is bigger: u or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(126) - (sqrt(126) + (sqrt(126) + sqrt(126) + sqrt(126)*-2 - sqrt(126))))\/sqrt(2))\/(sqrt(2880)\/sqrt(5))*5*4.\nAnswer: 5*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 65*4922.4.\nAnswer: 319956","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 - 1. Let n(r) = r**3 + 3*r**2 + r + 4. Let x be n(-3). Let d be x*s + (-3 - -2). Is -4 smaller than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -302 (base 4) to base 7\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 - 5 - (-32 + 45).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (240\/(-16))\/15*539\/11.\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x*x**10*x)\/((x*x*x**(9\/8)*x)\/x)*x**(-13)\/(x*x\/(x\/(x\/x**(-2\/19))*x*x*x)) assuming x is positive.\nAnswer: x**(-339\/152)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (-2 - (2 + -6 - 1))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 11b71d (base 15) to base 13\nAnswer: 23940a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.64 + 1.681. Let v = p + 0.059. Let u be -1*2\/(-4)*2. Which is the nearest to u? (a) 0.3 (b) v (c) 1.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 4, h: 2, m: 9, a: 3}. Give prob of sequence mara.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 16*b - 13. Let v be n(1). Suppose -5*s + 5*r = -635, -v*s + 626 = 2*s + 4*r. Is s a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -249307427*i + 249307476*i + 2058 = 0 for i.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -50\/123 and -62\/15.\nAnswer: 615","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10714, -22677, -34630, -46567, -58482?\nAnswer: -70369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.7, -3004, -0.63, 0.1, 5.\nAnswer: -3004, -0.63, 0.1, 0.7, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvnfvvvvffvvenfv. Give prob of picking 4 f.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of ((-3)\/(-2))\/(15\/(-77840)*-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*u**5 - u**2 + u**2 + (2*u + u - 2*u)*(-2*u**4 - 2*u**4 + 2*u**4) + 0*u**5 - 6*u**5 + 5*u**5 + (17*u + 15*u - 9*u)*(-u**4 - 3*u**4 + u**4).\nAnswer: -74*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -158, -396, -718, -1160, -1758, -2548, -3566, -4848?\nAnswer: -6430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(3\/5)\/l)\/l**(3\/8))**(-8\/7) assuming l is positive.\nAnswer: l**(31\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.37*17.\nAnswer: 6.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21, -51, -103, -183, -297?\nAnswer: -451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6517 and 133.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes after 11:47 PM?\nAnswer: 5:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1589?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 68 + (-1 - (0 - (13 + -2)) - (10442 + -10419)).\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 93 or -2.75?\nAnswer: 93","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 6.213*-0.054\nAnswer: -0.335502","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -280 - 2*y - 12*y + 0*y + 12*y to the form j*y + u and give u.\nAnswer: -280","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.1783 * 2205\nAnswer: -393.1515","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14.5 - -13. Let l = t + 1.41. Let b = 0.11 + l. What is b rounded to 1 decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the second derivative of z**5\/20 + 7*z**4\/12 - z**3\/2 + 5*z**2\/2 - 2*z. Let q = 14 - 7. Let t be i(q). Round t to the nearest 100.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -r**2 - 77*r + 158 = 0.\nAnswer: -79, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the first derivative of -v**5\/10 + 9*v**4 - 324*v**3 + 5832*v**2 - 52488*v - 9869. Factor k(f).\nAnswer: -(f - 18)**4\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s + 0*s - 2*s)*(1179*s - 471*s - 555*s).\nAnswer: -306*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v = 5*c + 40, 4*v - 3 = c + 2*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 5*u + 2. Suppose 14 = -2*n + 110. What is the remainder when n is divided by q(3)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**2 - f + 203. Let l(z) = z**3 + 7*z**2 - 8*z. Let h be l(-8). Is g(h) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 171379 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -33*l + 7. Let u be q(-1). Suppose -u = 6*m - 76. Let c(z) = -8*z - 32. Let x(d) = -3*d - 11. Let v(k) = 4*c(k) - 11*x(k). What is v(m)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*l + 574 = 16*l. Let x = 86 - l. Which is the closest to -1? (a) x (b) 0 (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 996881707 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -486*u - 3910. Give c(-8).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y**2 - y**2 - 4*y**2)*(y - 1 - 5*y + 3*y) + (18*y + 2*y**2 - 18*y)*(-26*y - 12*y - 110*y).\nAnswer: -290*y**3 + 6*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 4*r + 12 = 0. What is the first derivative of r*x**4 + 2*x - 13 + 8 - 2*x wrt x?\nAnswer: 12*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*h + 11*h = -19*h. Solve 5*t + a - 10 = 0, 3*t - 6 = -h*t + a for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-378)\/252)\/(((-90)\/(-12))\/(-5)*5\/2)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -7*q + 3*w + 9, -w + 23 = 3*q. Suppose -5*p = -q*t + t + 180, 4*p - 73 = -3*t. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c - 29 = 5*u, 2*u + 18 = -622*c + 620*c for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -217*w**2 - 172*w**2 + 724*w**2 - 143*w**2 - 153*w**2.\nAnswer: 39*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 - 4 = 3*i - 2*o, -i - 7 = -o for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 429 divide 118344?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 696 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 + -6. Suppose 7*y - 23 = -9. Put c, -1, y in descending order.\nAnswer: y, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*m = 10*m + 40 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 3*m - 994. Suppose 8*x = 3*x + m. What are the prime factors of x?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -x**4\/4 + 43*x**3\/4 + 95*x**2\/4 - 219*x\/4 - 135\/2 = 0.\nAnswer: -3, -1, 2, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -c*i*w + 105*c*i + 11729*c*w**3 + 2*i - 281088*w**3 + 2*w**2 + 2*w + 1 with respect to c.\nAnswer: -i*w + 105*i + 11729*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((1*sqrt(180)*6 + sqrt(180) - sqrt(180))*-2)\/((1*sqrt(8))\/sqrt(2) - (sqrt(196) + (sqrt(196) - sqrt(196)*-3))).\nAnswer: 18*sqrt(5)\/17 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 167 a factor of 14571919?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 124755985 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1164154, 2328342, 3492560, 4656808, 5821086, 6985394?\nAnswer: 8149732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 0 + 4 - 2*y - 3 + y. Let n(w) = -w**3 + 5*w**2 + 4*w - 3. Let d(i) = -n(i) + 3*r(i). Let s be d(6). Solve 2*q = -s*h - 5*h + 8, -3 = 3*q for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -49.2 - -42. Let l = 1.8 - g. Let x = 9.006 - l. What is x rounded to 3 dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -f**2 - 773550*f - 1547096 = 0?\nAnswer: -773548, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.176841147 to three decimal places.\nAnswer: 0.177","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2*-2 + (-1 - -4). Let x(u) = -5*u. What is the units digit of x(p)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 522 and 320769.\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q + 2 - 32. Let g = -11 + 15. Let s = g - q. What is the smallest common multiple of 3 and s?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1\/496811 + 5535895\/496811. Factor 0 + b*l**2 - 2\/7*l**3 + 0*l.\nAnswer: -2*l**2*(l - 39)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-24 + 592\/24)*(1 + -27 + 2)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i. Let w(k) = 131 + 100 + 3*k - 273. Give d(w(l)).\nAnswer: -3*l + 42","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9569?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.3 - 0.4. Let k = -8961\/7 - -1281. What is the biggest value in 0.3, k, i?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 181487564?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11 - -95. Let y(k) = -7*k - 84 + o. Let c(l) = -2*l**2. Give c(y(v)).\nAnswer: -98*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 14946135707 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:55 AM and 2:46 AM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13005 + -13005.5. What is the fourth biggest value in -49, -4\/7, z, -1\/3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54562.\nAnswer: 2, 27281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 81 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14\/55 + -1\/220. Which is the closest to 7\/2? (a) 0.3 (b) w (c) -4 (d) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -7*w. Let t(g) = 292*g. What is z(t(q))?\nAnswer: -2044*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*n + 4008 = -3408. Does 4 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 7*z**2. Let d(n) = -4*n + 40. What is j(d(p))?\nAnswer: 112*p**2 - 2240*p + 11200","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11 + 2 + -9 - 4) + 6 + 3.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 divided by -185.\nAnswer: -7\/185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + k + 4*k = -2, -32 = -2*z - 4*k. Suppose -4*x = 6 - 26, 5*x + 29 = 3*n. What is the least common multiple of n and z?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzss when four letters picked without replacement from sssszzzssssssss.\nAnswer: 11\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2, -10, 568, 0.5, 1\/22, -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -8*i**3 + 1461*i**2 + 3520*i - 924. Calculate x(185).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 1184 = -2*c. Let a = 111 - c. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -38319.5872 to the nearest ten.\nAnswer: -38320","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, f: 5, u: 1, n: 1, w: 3}. Give prob of picking 1 s and 1 w.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/3*-10*8\/(-160)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/2 and ((-62)\/(-24))\/(16\/12).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 + 0. Let h = 18 - 13. What is the units digit of 6\/3 + h + s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a microgram in nanograms?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 40*h**2*l**2 + h**2 - h*l*n**2 - l**2*n**2 + 4*l**2 - 2*n**2 wrt h?\nAnswer: 80*h*l**2 + 2*h - l*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -300755920 by 1424.\nAnswer: -211205","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - 3 - -38 - (-7 - 4 - (4 - 12))?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14876 is divided by 7432?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*f**3 + 83*f + 4*f - 81*f**2 + 72*f**3 + 3*f**4 - 30 = 0.\nAnswer: -10, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 f when four letters picked without replacement from pffmmmpfffmfff?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*g**4 - 4 + g**4 - g - 6 to v + s*g**3 + m*g + l*g**4 + z*g**2 and give v.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 137 is divided by (-594)\/(-12)*-5*20\/(-75).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*s**2 + 19*s**3 - 20*s**3 + s**2 - 25*s**2.\nAnswer: -s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -480000 rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -804.534409658 + 804.46741. Let y = -1.36 + 1.427. Let m = y + g. What is m rounded to seven decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1, 2\/73, 115, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -15*a**4 - a**3 + 0*a**2 - 340 - a - 2*a**2 + 341 as f*a + v + n*a**3 + m*a**2 + z*a**4 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/10 + (-24)\/40. Suppose -z - 135 = 2*p - 4*p, y = 2*p + 3*z - 115. Let q = -30 + p. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/11, -137, -4, 0 in descending order.\nAnswer: 0, -2\/11, -4, -137","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6 - (-41)\/4) + -4. Let n = 2.5 - 2.2. Put l, n, 1.6 in ascending order.\nAnswer: l, n, 1.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*f**3 - 4*f - 2*f**3 - 2*f)*(-2*f**2 - 3*f + 3*f)*(0 - 1 - 1).\nAnswer: 8*f**5 - 24*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3b6 + 2?\nAnswer: -3b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -5*x - 1. Let q be a(-1). Suppose q*z - 380 = 120. Suppose 3*b - z = -50. Does 25 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:44 PM and 12:45 AM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + 0 - (-9 + 0 + 2 + -3).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((12\/(-21))\/(-1))\/(12\/42)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 477018\/11 bigger than 43365?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in thirty-two fifths of a millimeter?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -54684, -54713, -54742, -54771?\n\"Answer: -29*j - 54655","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6706 is divided by 485?\nAnswer: 401","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 35, 32, 25, 14, -1, -20?\n\"Answer: -2*u**2 + 3*u + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16894 - 16894.1. What is the biggest value in 16\/13, -2, l?\nAnswer: 16\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the first derivative of 1\/3*x**3 + 0*x + 1\/4*x**4 + 0*x**2 - 1. Suppose r(y) = 0. Calculate y.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 696938 is divided by 63357?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*x**2 + 6*x**2 + 6*x**2 - 4*x**2 in the form t*x + u*x**2 + m and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 64.813 times -140\nAnswer: -9073.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (62 + -60)\/(3\/(-60)*2)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Do -2\/457 and -1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 31 by -59.\nAnswer: -31\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(-1))**(-3\/11)*(u**(-4\/5)*u)\/(u*u\/(u*u**(-4)*u*u)) assuming u is positive.\nAnswer: u**(-14\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 246414423 to the power of 1\/2, to the nearest integer?\nAnswer: 15698","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 0 - 6)*(-3*i**2 + 2*i**2 - 2*i**2)*(3 + i**2 - 3).\nAnswer: 33*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 457 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((-30)\/(-18)) + 2\/(-2).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzx when three letters picked without replacement from zzxzdxxzxrzdzdzxdd.\nAnswer: 35\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0272 times 1?\nAnswer: 0.0272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1243 and 0.7.\nAnswer: 870.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**2. Let v(n) be the second derivative of 19*n**3\/6 - 24*n. What is m(v(r))?\nAnswer: -361*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**2 + a + 24. Let y be v(5). Suppose o = -y*c - 12, 5*o - 2*c = 35 - 29. Solve 3*s - 4 - 11 = o for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 7 (b) -785 (c) -2 (d) -6\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1111110001111 - 110001110?\nAnswer: 1111000000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 29120 and 192.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9 + 18. Suppose -2*a - 1 = -s. Let b(k) = -k**3 + 6*k**2 - 3. What is the tens digit of b(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81*m + 50 = 106*m. Solve -k - 10*w = -6*w - 24, 3 = m*k - w for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1\/2)\/(3\/360). Suppose 58*g - 55*g = d. Which is smaller: 19 or g?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = u - 4*c + 1, 3*u - 2 = 3*c - 5 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -55404 and 0.067.\nAnswer: -3712.068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 3745 = 3574. Calculate the greatest common divisor of 42 and h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = 7*k - 12*k. Suppose -9*t = -k*t - 18. Let j(l) = l**2 + 4*l - 6. Determine j(t).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/6 or -16?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**2\/2 - 5*s\/2 + 1.\nAnswer: (s - 1)*(3*s - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*a + 3*d - 2, -4*a - 3*d = -8*d - 4 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.75364626 to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4216 - 25*z + 4144 - 6*z + 73 + 5*z.\nAnswer: -26*z + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -407 + 463. Let c be (352\/i + -6)*7. Solve -k - c*t = 1, 2*k + 4*t - 13 = -3*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -129 - 53*a + 130 - 6*a**2 + 10*a**2 + 19*a**4 wrt a.\nAnswer: 228*a**2 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + 1 + (2 - 6).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/3060 and -49\/298520.\nAnswer: 2686680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the first derivative of -k**2\/2 - 8*k - 218. Let y(g) = 112*g - 33. Let i(z) = 4*b(z) - y(z). Let f(j) = -2*j. Determine i(f(n)).\nAnswer: 232*n + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/(3 + 30\/(-8)). Let s be ((-17)\/(-4))\/((-2)\/g). Suppose -83 = -2*q - s. Calculate the remainder when q is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.4, -4, -1, 3\/2, 2\/7?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 36, -17, -190, -543, -1136?\nAnswer: -2029","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -79 + 90 - (10 - 1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/8 of a millimeter in micrometers?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-j - 3*j + 3*j)*(-1 + 3*j**3 + 5*j**3 - 4*j**3) to the form u*j**3 + i*j + f + o*j**2 + w*j**4 and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*h**2 + 5*h**2 - h**3)*(369 + 96 + 1218)*(5 + 1 - 5) in the form g*h**2 + o*h + j + d*h**3 and give d.\nAnswer: -1683","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 23*r - 8. Let y(h) = -h + 12. Calculate b(z) + 6*y(z).\nAnswer: 17*z + 64","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, r: 1, w: 1, o: 1, z: 1}. Give prob of picking 1 o, 1 n, 1 r, and 1 w.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 12 - 333?\nAnswer: -321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**2 - 2*c - 3. Suppose 2*s - 10 = 5*g, 0*s = -5*s. Let j be y(g). Sort 4, -4, j in descending order.\nAnswer: 4, j, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -536 + 543. Let w(b) = 39*b**2 - 5*b - 6. What is the thousands digit of w(p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12067374?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -4*o + 7, 4*o + 16*v - 4 = 12*v. Solve o*s - 4*w = 0, -3*s = -0*s - 4*w for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 214806412 to the nearest integer?\nAnswer: 14656","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -31\/127 - -3494\/15875. Let t = f + -229\/875. Is 0.1 greater than or equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**2 - 10*y - 11. Let c be g(-8). What is the second derivative of -1783 + 20*a**c - 7*a + 1783 wrt a?\nAnswer: 400*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1010773*f + 1010589*f - 1113 - 1095 for f.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -41*k**4 + 10*k**3 - 380*k + 5. Let w(s) = s**4 - 2*s**3 - 2*s - 1. Let t(g) = n(g) + 5*w(g). What is the second derivative of t(v) wrt v?\nAnswer: -432*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 136195 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the third derivative of 11*s**9\/56 - s**8\/168 - 419*s**5\/30 + 571*s**2. What is the third derivative of d(g) wrt g?\nAnswer: 11880*g**3 - 120*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(2057) + -1)*2 + -3 + (sqrt(2057) + 0 + sqrt(2057) + 3 + sqrt(2057))**2 + sqrt(2057).\nAnswer: 231*sqrt(17) + 18523","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*n - 2*n**2 - 5*n)*(6*n + 0*n + 0*n) - 2*n**3 + 6*n**3 + n**3 to o*n + q*n**3 + j + z*n**2 and give q.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**3 + 7*c**2 - 4*c + 2. Suppose 21 = i + 5*z, -5*z + 39 = -i + 5*i. Give p(i).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-1))\/((-4)\/(-12)*-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -624 - -616. Let o be ((-341)\/(-22) + a)\/((-1)\/80). Round o to the nearest one hundred.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*((-26)\/(-91) + (-11)\/14).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - 3*y + 62 = 0, 80593*q - 80597*q - 3*y + 70 = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the first derivative of a**4\/4 - 2*a**3\/3 - 2*a - 2. Let o = 20 + -20. Suppose 3*g - 6 - 3 = o. Determine d(g).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -28*c**4 + 2*c**3 - 3*c**4 - 47*c + 12*c**4 wrt c?\nAnswer: -228*c**2 + 12*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 300 is divided by 28?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 45159 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 138*h - 1678. Calculate the remainder when q(20) is divided by 107.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c + 10, 2*z + 2*z + c = 230. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i - l - 7, 0*i - 3*l - 11 = -i. Let t(s) be the first derivative of -2\/21*s**3 + 0*s**4 + 0*s - 2 + 2\/35*s**i + 0*s**2. Factor t(k).\nAnswer: 2*k**2*(k - 1)*(k + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 125218 - 379367\/3. Which is smaller: -1237 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 299181.4 kilograms in tonnes?\nAnswer: 299.1814","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -969*c**2*p + 113*c**2 + 306*c + p + 209520115 wrt c?\nAnswer: -1938*c*p + 226*c + 306","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**2 + 6*k - 14. Let a be n(-8). Let u(j) = 2 + 3*j**3 - j + j**3 - 6*j**2 + 3*j**2. List the prime factors of u(a).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 294 a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -12*y**2 + 14*y + 10. Let p(a) = a**2 + a - 1. Let g(c) = 2*p(c) + v(c). Factor g(m).\nAnswer: -2*(m - 2)*(5*m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**2 - 4*a + 4. Let b be n(3). Let h = 3 - b. Solve 0*v = h*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a litre in millilitres?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*c + 24*c + c.\nAnswer: 34*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:45 AM and 11:06 PM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*j + 3*j + 2*j + j.\nAnswer: 4*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -86 - -82. What is the units digit of (6*(-424)\/(-30))\/(d\/(-10))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10903, 10898, 10881, 10846, 10787, 10698, 10573, 10406?\nAnswer: 10191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -162*b**4 - 83*b?\nAnswer: -1944*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -305, 4, -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes before 7:35 PM?\nAnswer: 2:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 - -0.006922.\nAnswer: 1.006922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.3, -34, -3\/2, 5, 285.67, -0.7?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/1170 and -23\/9879948.\nAnswer: 49399740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -2*f + 4. Let h be t(-4). Let p be -3*2\/h*2. Let x = -1 - p. Solve 2*v + 2 - 6 = x for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -711 = m - 3*f + 153, -4*m = 3*f + 3501. Let p = -148 - m. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 530610 a multiple of 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -15 in 2282, -11, -0.4, 0.9?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 1543*x + 112637. Determine i(-73).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**3 + m**2 + 960. Let l be p(0). Let u(y) = -y**3 - 116*y**2 - 111*y + 520. Let z be u(-115). What is the highest common factor of l and z?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p - 7087 + 18437. Round p to the nearest one hundred.\nAnswer: -2300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7*j**2 - 4*j**2 + 12*j**2)*(5 + 5 - 4) + (-2*j + 2*j - 9*j**2 - 10*j**2)*(2 - 3 - 2) to the form r*j**2 + w*j + z and give r.\nAnswer: 147","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 2, -0.2, -1, -1.137, -3 in decreasing order.\nAnswer: 2, 0.5, -0.2, -1, -1.137, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -203140 (base 6) to base 13.\nAnswer: -752a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1260553, 1260560, 1260567, 1260574, 1260581, 1260588?\n\"Answer: 7*x + 1260546","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ullu when four letters picked without replacement from {l: 2, u: 11}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 689 + 3199 = -324*i for i.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 190985574 + -190985593.0000023. Let o = -19 - i. Round o to 6 decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -22*u**3 + u**2 - 1. Suppose t + 2*j + 2 = 0, -2*j + 3*j = 2*t - 6. Calculate the smallest common multiple of w(-1) and t.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 7*j + 6017. Let l(v) = -6*v - 6018. Determine 9*l(o) + 8*q(o).\nAnswer: 2*o - 6026","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 3084*h**2. Let b(l) = -2*l**2. What is f(b(u))?\nAnswer: 12336*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 309, 344, 379, 414?\nAnswer: 449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*l**3 + 12*l**3 - 37*l**3.\nAnswer: -12*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -13609 + 18483764.\nAnswer: 18470155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3219439189?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -26354\/19 + 6086387\/4389. Calculate the common denominator of -37\/1188 and o.\nAnswer: 8316","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -168321 - -356911. What is a rounded to the nearest ten thousand?\nAnswer: 190000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0, -3.\nAnswer: -4, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 3\/((-9)\/15) - (-1190)\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in o - o + 18*o**3.\nAnswer: 18*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -17, 4, 1685, -3, 1, 5 in ascending order.\nAnswer: -17, -4, -3, 1, 4, 5, 1685","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 11697.42 and 0.4?\nAnswer: 4678.968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*h*s + 96402*h + 67075*s wrt s.\nAnswer: 5*h + 67075","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -169*s = 36278 - 39996 for s.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 11*u**2 - 13*u - 1. Let q = -18 - -5. Let h(k) = -5*k**2 + 6*k. Let f(o) = q*h(o) - 6*d(o). What is the units digit of f(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 99 divide 93426?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*b**2 - 7*b + 5*b + 0*b**2 + 3 + b**2 - 3 + (3 + 0 - 4)*(-5*b**2 + 2*b**2 + b**2) + 3*b - 3*b - b**2 + b + 2*b**2 - b.\nAnswer: 11*b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*o**4 + 11*o**2 + 3 - 6 + 16*o**4 + o in the form l*o**3 + x + w*o**2 + f*o**4 + y*o and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2709?\nAnswer: 3, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3217.\nAnswer: 3217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -131 divided by 385651?\nAnswer: -131\/385651","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16597?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 43 and 3265?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Total of 51 and -368.5.\nAnswer: -317.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1881, -1875, -1847, -1785, -1677, -1511, -1275, -957?\nAnswer: -545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 + 2.415. Let q = 0.465 - b. What is the closest to -0.1 in -2, q, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*c + q + 15, 0 = -4*c + 6*q - 10*q for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iqiiiriqrrriiiri. Give prob of sequence qiq.\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 179548 and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 15*l**5 + 26*l**4 + 2*l**3 - 5*l**2 + l - 1. Let b(d) = d**5 - 2*d**4 - d**3 - d**2 + 1. Let o(s) = -b(s) - j(s). Factor o(w).\nAnswer: -w*(w + 1)**2*(4*w - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -4735*g + 137281. Calculate v(29).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 40 - (10 - -22) - -9\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1110 - -1010001101110001111?\nAnswer: 1010001101110011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 7634 = -5*v, -v + 0*i + 1528 = i. Is -2*(-4)\/8 + 1 + v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(133) - sqrt(133)*2) - sqrt(133))\/((sqrt(21)*2)\/sqrt(3)).\nAnswer: 5*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 3*u + 80 = 0. Let t be (-4)\/10 + 54\/u. What is the nearest to -0.3 in 1\/6, t, -2?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-40))\/(((-5145)\/(-56))\/35).\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2300\/1129401 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1847 to the power of 1\/2, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes after 1:12 AM?\nAnswer: 6:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 420368 = 420367?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 > 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -58*n**3 + 30*n + 33*n - 2*n**2 - 72*n wrt n.\nAnswer: -348","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**3 + 8*b**2 - 4*b - 12. Let f be n(7). Let v be f*(3\/6*4 - 1). What is the tens digit of 1108\/8 - v\/(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**2 - 6*g - 18. Determine d(8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**2 + 8*h + 11. Let p be (-4)\/2*5\/2. Let i(t) = -t**2 - 6*t + 4. Let m be i(p). What are the prime factors of a(m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -525 - -487. Let m = 0.12 - 33.12. Let r = k - m. Which is the fourth biggest value? (a) -4 (b) 1 (c) r (d) 0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1 + 1 + 873*h + 2 - 5 - h**3 - 829*h + 28*h**2 wrt h?\nAnswer: -6*h + 56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25 + (-54990)\/546 + 75.\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -476 - -366 - (-16 + -7 + 3).\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11548, -9, -14, 0, -5.\nAnswer: -11548, -14, -9, -5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -195, -798, -1811, -3234, -5067, -7310?\nAnswer: -9963","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 - 5*(-3)\/1. Let w be (-9)\/n - 13\/(-5). Suppose -3*l + w = -f, l + 5*f = -0*f + 6. What is the smallest common multiple of l and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4669.\nAnswer: 7, 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r + 17 = 7*k - 5, 4*r + 25 = 5*k for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.1 (b) -0.5 (c) -8 (d) -22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 47777 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 2*s + 181 = -88, 0 = a + 2*s - 61. Suppose -r - 8 = -x, -r + 3*r = 3*x - 21. Calculate the highest common divisor of x and a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 50 - 30. Suppose -4*w - p = u, 4*w - 3*w + 5 = 4*u. Suppose -3 = -5*y + 2. Which is greater: u or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**2 - 2*s - 63. Let k be x(-7). Suppose k = -4*w + 1244 + 376. Is 19 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 23.47 - 2.47. Put y, -1, -0.1 in decreasing order.\nAnswer: y, -0.1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 4*w + 31. Let g be y(-5). Suppose -560 = -g*b + 320. Calculate the remainder when b is divided by 28.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13 and 71786923.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 3 + sqrt(66)\/sqrt(6) - (0 + sqrt(110)\/sqrt(10) + 5 + sqrt(11)))*-5 + -3.\nAnswer: 7 + 5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 3, 0, 10, 6, 1, 17 in descending order.\nAnswer: 17, 10, 6, 3, 1, 0, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x - 15 = -6*x, 2*a = -2*x + 20 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times 25950?\nAnswer: 77850","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -w**5 - 2977*w**4 + 26869*w**3 - 15011*w**2 - 241740*w + 376236 = 0. What is w?\nAnswer: -2986, -3, 2, 3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(468)*3*-1 + sqrt(468))**2 + 5 - ((sqrt(325) + 4)**2 - (-4 + sqrt(13) + 0)).\nAnswer: -39*sqrt(13) + 1532","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -5*v - a + 171, -3*v - 5*a = -97. Suppose 0*n = -2*n + 56. What is the remainder when v is divided by (n\/35)\/((-2)\/(-45))?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 136 + -1. What are the prime factors of j?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*l - 3*l + 0*l)*(l + 2*l - l) + (2 - 5 + 1)*(2*l**2 + 0*l**2 - 4*l**2) + l**2 + l**2 + 0*l**2.\nAnswer: 14*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 41076817 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (1 + 0 - 6) + -82 + 98?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 377.486635 + -377.5. Round f to 3 dps.\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2113?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 18 + -16. Sort a, -2, 0.2, 5.\nAnswer: -2, 0.2, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(-2\/7)*i*i)**(2\/5)\/((i*(i*i**(-2\/3))\/i*i)\/i**(3\/10)) assuming i is positive.\nAnswer: i**(59\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 681, 1137, 2263, 4395, 7869, 13021?\n\"Answer: 56*f**3 - f**2 + 67*f + 559","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the second derivative of o**3\/2 + 9*o**2\/2 + 24*o. Let k = -5 + -2. What is c(k)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -4*d + 8. Let v(m) = -5*m + 7. Let w(p) = 3*v(p) - 4*z(p). Let i be w(9). Let j be (-1)\/(-4)*(-4)\/(-5). What is the closest to -1 in -0.5, j, i?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -7*f - 2. Let v(g) = -3*g - 1. Suppose -57 = -2*y + 4*a + a, 5*y - a = 108. Let h be 6\/y - 60\/14. Let m = -31 + 40. What is h*l(w) + m*v(w)?\nAnswer: w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 2, 0.24, 2\/9, 3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.34 and 9.\nAnswer: -3.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 380 is divided by 48?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14 - 9. What are the prime factors of y\/4*(-8 - -16)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z + 6*h - 2*h = 4, -4*z = h - 15 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes after 6:02 PM?\nAnswer: 3:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a millennium in decades?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 15*i**2 - 26 + 15*i**2 + 4 - 49*i**2 + 20*i + 21*i**2. Give q(-11).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*t**3 + 0*t**3 - 43 - 14*t - 2*t**4 + 6*t**2 - 37 + 68.\nAnswer: -2*(t - 3)*(t - 2)*(t + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1*9)\/((-144)\/(-138) + -1). What is the greatest common factor of 23 and n?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(272) - (sqrt(272) + ((sqrt(272) - (4*sqrt(272) + 1)) + sqrt(272) - sqrt(272))) - (sqrt(272) + 0)*-1)**2.\nAnswer: 32*sqrt(17) + 4353","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7770 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(133)*1 + sqrt(133) + sqrt(133))*-4 - (sqrt(133) + (2*sqrt(133)*1 - sqrt(133))))\/(-4*sqrt(14)\/sqrt(2)*5).\nAnswer: 7*sqrt(19)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 257679988?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 466872 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: Suppose y = -y - 2. Let z = -1 - y. Suppose k + 2*f = z, 4*k + 3*f - 3 - 7 = 0. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 9554.4 to the nearest ten.\nAnswer: 9550","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 2 q when four letters picked without replacement from {s: 9, q: 11}?\nAnswer: 132\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 21\/609*(-9 + (-221)\/(-26)). Suppose 0*m + 7 = -m - 5*n, 5*m + 5*n - 5 = 0. Suppose -4*r - m = -7. Which is smaller: r or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*q**2 - q**2 + 2*q**2 + (-3 + 3 - q)*(31*q + 129*q - 7*q).\nAnswer: -158*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -22\/106743 and 86\/1113.\nAnswer: 5657379","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -113*s - 1772. Calculate c(-16).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 19*n**3 - 17*n**2 + 12*n + 1. Let z be l(2). Solve 10*i - z = -59 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -332*h**2 + 133 + 91*h**3 + 656*h**2 - 133 - 324*h**2.\nAnswer: 91*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2445, 2451, 2485, 2547, 2637, 2755, 2901?\n\"Answer: 14*v**2 - 36*v + 2467","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 1 - 1)*(-2 + 2 + 2*y) + 2*y - 9*y - 3*y + 261*y + 4731 - 4731 + 4*y + 0*y - 3*y to the form j*y + a and give j.\nAnswer: 254","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**(1\/6)\/z)\/z)\/z**(-1\/3))\/((z*z*z**(5\/6)\/z*z)\/(z**(2\/7)*z)) assuming z is positive.\nAnswer: z**(-64\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1213 - 11?\nAnswer: -1230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27 + (-22 + 64 - 30) - 107.\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 257 = 59. Which is greater: -81 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 371064539 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -13, -18, -45, -106, -213, -378, -613, -930?\n\"Answer: -2*t**3 + t**2 + 6*t - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times 0.209?\nAnswer: 0.0209","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.14, -1, -0.03, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -913.85 - -913.75. Let y = 0.5 + -0.1. Which is the second smallest value? (a) 38.4 (b) j (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5473261*d - 5473261*d - 792*d**3)*(2*d + 0*d - 3*d).\nAnswer: 792*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 3793793?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 2*x**2 + 37*x - 103. What is f(-21)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 144 = -7*f. Suppose -42*r + 1728 = -f*r. Suppose -5*j = -432 - r. Is j a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j**2 + 6*j**2 + 11*j**2 + (-2*j**2 - 4*j**2 + 4*j**2)*(-1 + 3 - 4) - 2*j**2 + 0*j + 0*j + j**2 + j - j)*(-3*j**2 - 1 + 1).\nAnswer: -60*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -296 + 4*i - 535 + 562 to the form s*i + n and give n.\nAnswer: -269","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 9652*m + 849388. Give g(-88).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the first derivative of -p**6\/3 + 95*p**4\/4 + 14*p**3\/3 + 2*p**2 - 23. Find the third derivative of z(x) wrt x.\nAnswer: -120*x**2 + 570","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70*c - 75*c + 25 = 0. Suppose 0 = -s + 39 + 6. What is the highest common divisor of s and c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -47 + (-3 + 0 - -6) + (-39 - -27).\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12 - 10. Solve -2*w + w**2 + 6*w**2 - 5*w**i = 0 for w.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes after 8:19 PM?\nAnswer: 12:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3317341 is divided by 25518?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (6 - 1) + 0 + 1. Suppose 3*w - 6 - 9 = 2*n, 3*n - 10 = -2*w. Find the third derivative of -148*y + 148*y - b*y**2 - w*y**6 wrt y.\nAnswer: -600*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 12) to base 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/(t*t**(-11))*t\/((((t**(-21)\/t)\/t)\/t)\/t) assuming t is positive.\nAnswer: t**37","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 - 4. Suppose 2 = 3*l - a. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 223804338*d**3*s - 2*d**2*s**3 - 661007*s**3 - 124*s wrt d.\nAnswer: 671413014*d**2*s - 4*d*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s - 136 + 137 = -2*c, -5*s + 47 = 4*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**3 - 18*a**2 + 23*a + 61. Calculate u(17).\nAnswer: 163","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 10*h. Let d(j) = -4*j**2 - 6*j - 12. Let s(a) = a + 2. Let u(r) = -d(r) - 6*s(r). Determine p(u(m)).\nAnswer: 40*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.183 + 87.817. Let l = i - 60. Let h = -28.00000078 + l. Round h to 7 dps.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29918*o**2 + 29846*o**2 + 29903*o**2 - 119612*o**2 + 29741*o**2.\nAnswer: -204*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.5 - 0.2. Let q = 163.2 + -168.2. What is the closest to 0 in -1, v, q?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.04 and -4955872380514.\nAnswer: -4955872380514.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 30188160 and 256?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 991890923 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, y: 1, e: 1, t: 2}. Give prob of picking 1 h, 1 y, and 1 e.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 28212661 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = -h + 25. Solve h*u = u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(1*(-4)\/4)*3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2\/11, -0.5, -808\/361, -5, -0.4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**3 - 5*z**2 - z + 6. Let j be b(5). Let n be 0 + 1 + 30*j. Suppose c + 16 + 8 = 4*x, -4*c - n = -3*x. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uc when two letters picked without replacement from {u: 3, i: 3, c: 2}.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -214143 - -214145. Suppose 28\/15*g + 14\/15*g**x + 16\/15 + 2\/15*g**3 = 0. What is g?\nAnswer: -4, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*k + 889 + 4052. Does 9 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oooo when four letters picked without replacement from {o: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f - 799 - 426. Let d = 2697\/11 - f. Sort -81, -1, d, 0.1 in decreasing order.\nAnswer: d, 0.1, -1, -81","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.03 and 144.1.\nAnswer: 144.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.1 - 2. Let c = n + 0.7. Let g = 2.8 - c. What is the nearest to 0 in 6, 0.1, g?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -2*y**4\/5 - 2391226*y**3\/15 - 238255182644*y**2\/15 - 450014629448*y\/5 - 52942585008 = 0.\nAnswer: -199266, -5, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 17*g**5 + 5*g**4 + 4*g**2 - 5*g. Let q(u) = -8*u**5 - 2*u**4 - 2*u**2 + 2*u. Let f(k) = -15*q(k) - 6*t(k). Find the third derivative of f(y) wrt y.\nAnswer: 1080*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*i*t - 2372966*i - 49194*t - 2 wrt t?\nAnswer: -2*i - 49194","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 116*l**4*x - 18442*l + 9091874*x wrt l?\nAnswer: 464*l**3*x - 18442","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*n = 34*n - 90 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, o: 1, g: 1, u: 1, d: 3, p: 5}. Give prob of sequence dduo.\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -23375*a**3*i**2 - 6*a**3*i + 2*a**2*i**2 + 5585*i wrt i.\nAnswer: -46750*a**3 + 4*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (5 - (1 - -3))*(-1)\/(-1). Let s(p) = -5*p - 5. Suppose -6*i + 8 = -2*i - 16. Let t(o) = 1. What is i*t(d) + q*s(d)?\nAnswer: -5*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 65, 111, 157, 203, 249, 295?\nAnswer: 341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (1584*m + 2675*m + 1166*m)*(-2*m + 3*m + m)*(-4*m + 0*m + 5*m) as i*m**3 + b + x*m**2 + v*m and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 p and 1 i when four letters picked without replacement from ipppppiippppip.\nAnswer: 480\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/((-70)\/(-8)))\/((-3)\/(42\/28))\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -19*f**2 + 0*f - 2 + 13*f**2 - 59*f**3 - 2*f + 7*f**2 as d*f**3 + a*f**2 + k*f + p and give d.\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12 - 3 - 7)*(2*p**3 + 1 - 1).\nAnswer: 4*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26923 is divided by 13460?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**3 + 6*k**2 + 8*k + 10. Suppose -112 = -20*z + 28. Calculate n(z).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**3 - g**2 - 2*g + 4. Let t(p) = -p. Let l be t(-8). Let h be l\/4*3\/(-2). Calculate the remainder when z(h) is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1222 - -3910. Calculate the least common multiple of 280 and v.\nAnswer: 13440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 9 = -9. Suppose -4*k + 7 = -x. Suppose 4*o + k*w - 50 = 6, 25 = 5*w. What are the prime factors of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 77 = -27. Let s = p + 385. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12723 + 10100. Put 1, u, 0 in decreasing order.\nAnswer: 1, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*-2*sqrt(13) + -5.\nAnswer: -10*sqrt(13) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11 + -9. Suppose -m = -a - q*a + 5, -3*m + 24 = 4*a. Suppose -5*g + 11 = -4*c, -2*c + m*g - 13 = -3. What is the lowest common multiple of c and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in six fifths of a millennium?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4280 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*a**5 - 2*a**5 - a**5)*(0 - 1 + 3) + 2*a**5 + 0*a + 0*a - 5095 - 5119 - a**3 + 10213 - a + 271*a**5.\nAnswer: 277*a**5 - a**3 - a - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the first derivative of 11*h**3\/3 - h - 992. Let q = 2 - 1. Suppose q - 5 = 4*l. Determine u(l).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10010010100000 (base 2) to base 15.\nAnswer: 2ba1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 75973320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.869 + 2.912. Round i to 1 decimal place.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -17 + 17 + 33*c**2 + c + c**2 - c + (2*c - 5*c + 4*c)*(4*c + 2*c - 5*c).\nAnswer: 35*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3155 - 3155 + 15*r.\nAnswer: 15*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.3, 4, 137\/370?\nAnswer: 137\/370","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -137 = -4*f + 111. Let o = f + -58. Suppose -26 = -o*c + 22. Is 6 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(6\/(-21)) + -1. Let j = 27 + l. What is the remainder when j is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4\/1293 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -20 - -23. Suppose 0*a - 51 = u*a. Is (2 + a)*1\/(-1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59944337437 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -2*i**2 + 1863*i - 9309. Give s(5).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/2048 and -109\/96.\nAnswer: 6144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -12*h**3 + 5*h - 268 wrt h?\nAnswer: -36*h**2 + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 542 + -18 - (1 - 1). Suppose 5*r - c - 311 = 0. What is r rounded to the nearest one hundred?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**2 + 3*k. Let v be l(3). Suppose -5*o + v*r + 84 = 4*r, 0 = 3*o + 5*r - 40. Let w = 24 + -16. Calculate the smallest common multiple of w and o.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (152\/(-3))\/((-6)\/(-153)). Let y(j) = 13*j**3 + 3*j**2 + j - 2. Let d be y(4). Let g = d + a. Round g to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 46*b**2 - 46*b**2 + 7*b**3 + (6 - 4 - 4)*(3*b**3 + 2*b**3 - 3*b**3) + 2*b**2 - 2*b**2 - 2*b**3.\nAnswer: b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(77))\/sqrt(7)*1 + (3*sqrt(176) - (5 + (sqrt(176) - sqrt(11)))))**2.\nAnswer: -80*sqrt(11) + 729","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 14 + 7 = 0. Suppose 2*h - 2 = 4*h, 0 = 4*a + 2*h + 2. Suppose 4*m - 80 = -4*u, a*u = 3*u + 3. Calculate the greatest common factor of x and m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the second derivative of k**6\/10 + 3*k**5\/5 + 3*k**4\/4 - 2*k**3 - 6*k**2 + 177*k. Factor x(b).\nAnswer: 3*(b - 1)*(b + 1)*(b + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -3*k + 5*d - 171, -5*k - 245 = 3*d. Let u be (343\/196)\/((-1)\/k). Calculate the highest common divisor of 52 and u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -518, -99, -3, -121 in descending order.\nAnswer: 3, -3, -99, -121, -518","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 - -2) + 1\/(-1). Suppose 3*k + 2 - 14 = c. Is 2\/8*k + 126 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-14)\/10 + 1*(-2)\/(-5). Let d = 21.5 - 22. Which is the closest to -1? (a) -0.1 (b) d (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 + 9. Let r = y + -3.5. Is r at least as big as 2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3459 + -3457. Let r = 1 + -2. Is r*x*2*(-2296)\/32 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-1677)\/(-260) - (-6)\/(-8) and -4\/7.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1798 + 2*y + 1703*y**2 - 1573*y**2 - 1798.\nAnswer: 130*y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(0 - 2)*216\/189.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the third derivative of 0*n + 1\/12*n**3 + 0 + 1\/24*n**4 - n**2 + 1\/120*n**5. Let b(k) = 0. Calculate k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c**3\/4 - 35600169*c**2\/4 + 316842990407055*c\/4 + 316843026007225\/4 = 0 for c.\nAnswer: -1, 17800085","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j + 3. Let q be z(3). Let h be 14\/(-49) - 36\/(-175). Let b = h - 44\/75. Which is bigger: q or b?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11.61*463.288.\nAnswer: -5378.77368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-5)\/(-2) - 3)*-12. Let s(o) = o**2 - 5*o. Let f be s(5). Suppose -3*q + 0*q - k = f. Are 0.1 and q nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(16)*-1)\/sqrt(8)*-1 + (sqrt(6)\/sqrt(3)*-2 - (-3 + (sqrt(2)*2 - sqrt(2))))**2.\nAnswer: -17*sqrt(2) + 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9375131.\nAnswer: 9375131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d + 3*k = 28, -3*k = 54*d - 53*d + 2 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*n**3 + 16*n**3 + 13*n**3 - 35*n**3 + 5*n**3.\nAnswer: 9*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -150866, -150901, -150940, -150983, -151030, -151081?\n\"Answer: -2*o**2 - 29*o - 150835","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*j**3 + 209*j - 209*j + 4*j**3.\nAnswer: -5*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1618 - -1644. Let r = -50 - -89. What is the greatest common factor of r and x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h. Suppose 4*x = -x + 25. Let w be o(x). Suppose 2*i + 327*j - 326*j - 11 = 0, -2*i + 4*j = 4. Sort i, w, -13 in decreasing order.\nAnswer: i, w, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1860\/(-310)*(1 - (-178)\/(-198)) and 25\/9.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 22179271?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1113.6069ms?\nAnswer: 0.018560115","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -3*s**2 + 134*s + 41. What is l(45)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.3, 1\/3, -3\/31, 4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + 3*y = 0, 6*r + 10 = 5*r - 4*y for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -2*s + 42. Determine y(22).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than -2\/822264179?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 139 is divided by 95.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 v when two letters picked without replacement from wblbwvn?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 4*x. Let p(z) = 22331420*z**2. Calculate n(p(o)).\nAnswer: 89325680*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/5 or -0.0198?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (-23 - -10) - (8 + -9 + 9).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**3 + b**2 - 1. Let y(u) = -9*u**3 + 7*u**2 - 5. Determine 5*m(i) - y(i).\nAnswer: 14*i**3 - 2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83*q + 151*q = 127*q + 3717 for q.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes after 12:43 PM?\nAnswer: 10:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 a factor of 45264240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**2 + 5*b + 4. Let n(a) = -a**3 + 11*a**2 - 9*a - 4. Let r be n(10). Let h be x(r). Is -2 <= h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4 - -5)\/(2\/(-6)). Let i = 34 - -45. Let j = i + l. List the prime factors of j.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, o: 2, y: 2, w: 3, b: 8}. What is prob of sequence fy?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 413610 or 413609?\nAnswer: 413609","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 363842 + -363830. Solve 6*b**2 + h*b + 0 - 21\/4*b**3 + 3\/4*b**4 = 0.\nAnswer: -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2884?\nAnswer: 2, 7, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 p when two letters picked without replacement from lzvlzpvlmcmllvvll.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 2*x = -350, -j - 15 = 5*x + 28. Let i be 666\/(-10) - 1\/1. Let a = i - j. Is -1 at least as big as a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 4*o + 8*o**2 + 2*o + o**3 + o**2 - 9 + 0*o. Let l be x(-8). Suppose 4*s = l*s - 72. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 21 = 16*m - 14*m, 5*l - m = 12. Suppose l*w = -21*w + 264. Let p be (-2)\/(0 - 2\/(-4)). What is the second biggest value in p, 2, w, -4\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 4 - 3 - w**2 + 2*w**2 + 0*w**2. Let n be i(-1). Suppose -2*t + m - n*m = -9, -4*t - m = -15. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76*g = -178*g + 95*g + 3180 for g.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f - 3*k + 23, -2*f + 3*k - 11 + 0 = 0. Suppose -5*q - 91 = -3*i, -2*q - 124 = -4*i + f*q. Suppose -85*c + 81*c + i = 0. Is 4 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/(-5) + 418\/10. Suppose 5*i - 8 = j. Let c be i\/(-35)*2\/(-2). What is the nearest to 0 in c, 1\/2, 1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50780251 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18304?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**3 + 29*l**2 + 94*l + 413. Let u be s(33). Is u at most as big as -841?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 45, 48, 65, 102, 165, 260?\nAnswer: 393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12344\/315 + -8835559\/225540. Calculate the common denominator of -53\/140 and j.\nAnswer: 25060","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 133001 and 133001 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 4*k. Let p(n) = -n - 1. Suppose 4*q + 14 = 2. Let v be p(q). Let i(a) = -7*a**2 + 13*a**v - 5*a**2. Give z(i(j)).\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 0)*(4*o - 6*o + o) + (0 + 0 + 2)*(-2 + o + 2) + o + 0*o + 0*o + 0*o + o - 2*o + 0*o + 2*o - 3*o - 3*o + 5*o - o.\nAnswer: 5*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.5, 1\/5, -4, -5\/907, 56?\nAnswer: -5\/907","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.03 (b) -5 (c) 5\/11 (d) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64354?\nAnswer: 2, 23, 1399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 5*a**2 + a + 1. Let n(w) = -w**2 - 7*w - 11. Let o be n(-5). Let t be u(o). Let k = -7 - -9. Solve -k*z + t = 3*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01891941347 rounded to four dps?\nAnswer: 0.0189","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (3 - -2) + -3 + -1 + -2\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -3*w**2 - 6*w + 7. Let t be a(-7). Find the common denominator of t*(-2 + 63\/30) and 53\/3.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2518 (base 12) in base 8?\nAnswer: -10144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 5*r**4\/4 - 527*r**3\/4 + 7125*r**2\/2 - 4784*r + 1352 = 0.\nAnswer: 2\/5, 1, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 24 = 3*l, 4*g = -0*g. Let m = l - 1. Suppose m*p - 2*p + w - 23 = 0, -2*p + 6 = 2*w. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -2*f - f - 113, 22 = i - 2*f. Suppose -4*u = -0*u - i. What is the common denominator of -17\/10 and (-34)\/5 - u\/(-20)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(242) + 2 + 0))**2 + 0.\nAnswer: 176*sqrt(2) + 984","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 744730?\nAnswer: 2, 5, 7, 10639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15.3976869us to days.\nAnswer: 0.00000000017821396875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*w - 2*w + 0*w)*(0 - 1 - 1) - 36*w + 33*w + 70*w + (-w + 7*w - 4*w)*(3 - 3 - 2) as g + v*w and give v.\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u - 8*u + 645 = 5*b, 0 = -2*b + 3*u + 258. Suppose -125*h + b*h = 12. Suppose -4 = -3*c + c. Solve 4*d + 3*t = -2 - h, -3*d - c*t = 3 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 498 = 5*t, 0 = 3*t + t + 4*r - 384. Calculate the remainder when t is divided by 26.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 462192?\nAnswer: 2, 3, 9629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -9*l + 2. Let k be i(-2). Let w = 4 + -3. Let f = k - w. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(((-276)\/(-70) - 3) + -1). Let a(i) = -i + 4. Let u be a(-6). Suppose 15*j - k = u*j. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.7, 4, -1\/2, -1\/10?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**2 + k. Let y be o(0). Let v(u) = u**2. Let x(s) = 2*s**2 - s - 1. Let n(h) = 3*v(h) - x(h). Determine n(y).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 25 + 25. Let h = j - 53. Sort h, 4, -11 in ascending order.\nAnswer: -11, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**3 + 28*k**2 + 74*k + 2041. Calculate c(33).\nAnswer: -962","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 29.7 + -27. Let w = v + -2.6987. What is w rounded to three decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the third derivative of 148*f**2 + 0 + 0*f**3 + 1\/6*f**4 + 0*f. Let z(a) = -a**2 + 0*a**2 + 0*a**2. Calculate z(j(v)).\nAnswer: -16*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, p: 2}. What is prob of sequence ppl?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -5*r - 47, -22 - 21 = -a - 5*r. What is the second derivative of 5*b**4 - 18 + a - 3*b wrt b?\nAnswer: 60*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 10\/(-16)*(-8 - 294\/(-35)). Let y = -0.4 + 0. Which is the closest to 0.1? (a) u (b) -0.5 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes after 8:47 AM?\nAnswer: 9:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 841 - 821. Let u = -769.9 + 749.962. Let x = k + u. Round x to 2 decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 112055*w - 112097*w + 756 = 0 for w.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**3 + 5*w**2 + 5*w + 4. Let i be n(6). Let j be (6\/9)\/(i\/(-72)). Suppose 5*x - 4*x = 4, -4*v = 3*x - j. List the prime factors of v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 200 (base 4) to base 12.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -1096533.\nAnswer: 1\/365511","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-1)\/(-5))\/(10\/(-20)). Which is the nearest to 1? (a) -2\/27 (b) n (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 296 + -295.9. Let n = 1101\/5 - 221. Which is the third smallest value? (a) n (b) v (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - (-1 - 1\/1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -972 divided by 4?\nAnswer: -243","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 466 = -3*i - 3*q, -4*q = -4*i + 360. Suppose 6*r = 2*r + i. Suppose 3*j + 2*o - 24 = 0, -5*o - r = -4*j + 9. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -9*g + 167. Let t be r(18). Let l be ((-12)\/66)\/(6\/(-33)). Which is the closest to l? (a) 2 (b) t (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -23.32030405 to 2 decimal places.\nAnswer: -23.32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 - 128 = 7*p + 192 - 790 for p.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w + 0*w - w)*(-6*w - 6 + 6).\nAnswer: 6*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.10816 + 1.91086. Let c = a - 1.79. Round c to three dps.\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 - 1.1. Let g = 0.6 + k. Let s = 3.5 + g. Which is the nearest to -1? (a) s (b) 5 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 834 (b) 0.28 (c) -4 (d) -2 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 52731 to the nearest integer?\nAnswer: 230","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -69 by 3.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -23 or 0.1?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(-23))\/(r\/(r*r*r**(2\/13)\/r)) assuming r is positive.\nAnswer: r**(-284\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes after 8:07 AM?\nAnswer: 8:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p + 2*h + 0*h = 20, p - 3*h = -4 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*j + 110*j = 23940. Calculate the greatest common divisor of 114 and j.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**3 - 6*g**2 - g + 5. Let k(f) = -f**3 - 5*f**2 - f + 5. Calculate -6*d(x) + 7*k(x).\nAnswer: -x**3 + x**2 - x + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*i + i - 3*i)*(344*i - 151*i + 223*i).\nAnswer: -2912*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**1)\/d*d\/((d**(-9)\/d*d)\/d))**(-1\/4) assuming d is positive.\nAnswer: d**(-5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-140*t**2 - 560*t**2 + 103*t**2)*(-4*t**2 + 0*t**2 - t**2) + t**4 + 0*t**2 + 0*t**2 as r*t**2 + s*t + o + w*t**3 + l*t**4 and give l.\nAnswer: 2986","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 717?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*x = 2*x - 1870. Is x a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/826 and -61\/826.\nAnswer: 826","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 106 - 3.\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 5 = 9*g. Let z(c) = 4 + c + g - 2. What is z(-5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9.7 - -9. Let m = 1 + n. Let j = -5.426 - -7.426. Which is the third biggest value? (a) j (b) m (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7287197984?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000136215 to six dps.\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 57346 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 h = 85 - 27. Is h a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-12)*(-20)\/(5 + -3)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21468 is divided by 20?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -9*(11 + 952\/(-72)). Solve 2*o + 0*j = 2*j + 8, -g = -5*o + 2*j for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -3*g + 18*g + 10*g. Let s(a) = -2*a**2. What is s(t(d))?\nAnswer: -1250*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 + -1. Let q = 3 - c. What is the units digit of (q - 0)\/4*9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1173?\nAnswer: 3, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 623, 2498, 5623, 9998, 15623, 22498?\n\"Answer: 625*b**2 - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12 - 35 + 974339*d - 974428*d to the form o*d + c and give o.\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvvpmpvmvmvpmk. What is prob of picking 1 p and 3 v?\nAnswer: 60\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1552 - 27235?\nAnswer: -25573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10737?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.04 + -2.94. Do y and 181 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -38) + -66 + 54 + -4\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k = -6 - 18, 5*z + k = -9 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/207 less than or equal to 9623?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**3 + 21*q**2 + q - 19. Let z = 21 + 0. Let b be x(z). Solve b*n + n + 9 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -2*m + 79, -5*q = -m - 73 + 100. Suppose -5*w = 2*v - 150, -v + 0*v + 73 = 2*w. Calculate the greatest common divisor of v and m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -27.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 79205214, 79205215, 79205216, 79205217, 79205218?\nAnswer: 79205219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 120801535 is divided by 95?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1951, -1980, -2001, -2008, -1995, -1956, -1885?\n\"Answer: x**3 - 2*x**2 - 30*x - 1920","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 27502 - 27503.08188. What is v rounded to 2 dps?\nAnswer: -1.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -2, 4 in increasing order.\nAnswer: -3, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 35224 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 + -6.7. Let s = 0.2 + -0.3. What is the third smallest value in -2, m, s?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(1\/2)*n\/(n*n*n**(-6))*(n*n**16)**28)**(-7\/2) assuming n is positive.\nAnswer: n**(-6741\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90 = -11*j - 7*j. Suppose 7*l - 3824 = 3*l. Suppose 0 = -j*w + l + 3549. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 2*y**2 - y + 3. Calculate the remainder when 7 + -2 + 192\/3 is divided by l(3).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00017245 to 6 dps.\nAnswer: 0.000172","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 60 divided by 321\nAnswer: 20\/107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.95 rounded to 1 decimal place?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, f: 10, v: 2, x: 1, c: 2}. Give prob of sequence cvu.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2066 - 2061 + 4116 - 105*s**2 + 3768*s**3 - s + 415*s**2 wrt s?\nAnswer: 22608","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1146 + -775. Let c = d + -368. What is the second smallest value in 2\/3, -7, c, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -4*v + 89. Let a = -6 + v. What are the prime factors of a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -3*b**4 - 5*b**3 + b**2 + 4*b + 2. Let p = 26 + -22. Let s(z) = -z. Let f(m) = p*d(m) - 4*s(m). Determine r so that f(r) = 0.\nAnswer: -1, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 111460.\nAnswer: 2, 5, 5573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the third derivative of 0*n**4 + 1\/60*n**5 - n**2 + 0 + 5\/6*n**3 + 0*n. Find the first derivative of m(c) wrt c.\nAnswer: 2*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-3494)\/30)\/(8\/(-100)). Let g = -1461 + x. What is the common denominator of g and -3\/5?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the third derivative of -q**5\/15 - q**4\/4 - 7*q**3\/6 + 7*q**2. Suppose 10*o - 30 = 5*o. Let d(w) = 9*w**2 + 13*w + 15. Give o*d(f) + 13*r(f).\nAnswer: 2*f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**2\/5 + 248258*u\/5 - 496496.\nAnswer: -(u - 248248)*(u - 10)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -45 + 41. Let y be (t\/(-2))\/(-2 + 6)*24. Suppose -4*n - 3*x + 7*x + y = 0, -3*x - 11 = -4*n. Calculate the smallest common multiple of 26 and n.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.43 and -0.065?\nAnswer: -0.02795","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*d + 24*d - 17*d = -5*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = -4*j + 18 + 2, 0 = 3*j + 4*m - 17. Suppose -1 + 13 = j*z. Solve -o = -0*o - z for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 - 3124 = -4*h. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the third derivative of 0 + 0*a**3 + 13\/60*a**5 + 0*a - 2*a**2 + 0*a**4. Calculate the remainder when 23 is divided by m(-1).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, 0, 2\/5, -212\/7 in descending order.\nAnswer: 2\/5, 0, -18, -212\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**3 + 6*v**2 - v + 37. Let q be t(-7). Let d(m) = 12*m + 48. Let u be d(q). Which is smaller: u or -2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express f**3 - 43347*f**2 - 4 - 2*f + 86543*f**2 - 43326*f**2 as z + q*f**3 + o*f**2 + d*f and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13286 + 1412*l + 13288 - 26574 to the form u*l + c and give u.\nAnswer: 1412","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (36\/84*(-42)\/(-156))\/((-3)\/(-8))\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -4121*k. Let w(f) be the second derivative of -f**4\/12 - 7543*f. What is l(w(h))?\nAnswer: 4121*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 20713832*l + 16. Let v be d(2). Let r = -6727680 + v. What is r rounded to the nearest 1000000?\nAnswer: 35000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**2 + 49*l + 291. Let r be w(-7). Which is the closest to 0.1? (a) -2 (b) 3\/2 (c) 0 (d) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r - 12, -5*r = -y - 0*r + 51. Suppose 2*o + 2 = 4*s, 4*o + 0*o + 2*s = y. Suppose -c = 5*j - 252, 0 = 4*c - o - 1. List the prime factors of j.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000020978 to 7 decimal places.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:29 PM and 2:14 AM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -42543*h**3 - 224*h**2 - 106.\nAnswer: -255258","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17.705 + -18.1. Let o = 0.005 - r. What is the third smallest value in o, 1, 6, -3\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 6*p = 2*p + 39, -2*m + 9 = -5*p. Suppose -276 = -m*z + 53. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:56 AM and 9:13 PM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 5 + 3)*(2176 + 3048 - 1392)*(-x**3 - 2*x**3 + 9*x**3) in the form k + d*x + c*x**2 + m*x**3 and give m.\nAnswer: 22992","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/42 and 113\/54?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (86 - -4) + (-9 - -7) is divided by 22?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, 3\/7, -707, 1?\nAnswer: -707","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5*2*(-10)\/((-120)\/6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2615047 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 2 x, and 1 m when four letters picked without replacement from xxxxsvxuvovmx?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**3 + 5*o**2 + o - 5. Let h be l(5). Let v(j) = j**3 + 2*j**2 - 2*j. Let i be v(-2). Find x, given that 0 - i*x - 2 + h + 6*x**2 = 0.\nAnswer: -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*b**3 - 48 - 23*b**2 - 2*b**3 - 2*b + 24 + 22 to the form h*b + u*b**2 + q + k*b**3 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2002*-2.\nAnswer: -0.4004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 24850895, -5\/2, 0.3?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1383633?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 4*l - 2 = 4*o, o = 2*l for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7711410 and 7711410?\nAnswer: 7711410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3951 + -35557\/9. What is the third smallest value in d, -309.4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 2*w**3 - 24*w**2 - 8*w + 29. Is n(13) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c + 13 + 3. Suppose 0 = 2*q + 7 - 19. What is the least common multiple of q and c?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 262736 (base 14) in base 16?\nAnswer: 14091c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 981\/39 - 10\/65. Let c(x) = h*x**2 - 3*x + 3 - 23*x**2 + 11*x - 2*x**3. What is the units digit of c(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w = -28, -2*t - 90*w + 71*w = -100 - 174 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -6*t**3 - 5*t**2 - 2*t + 4. Is q(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence riv when three letters picked without replacement from {v: 4, i: 5, r: 2, l: 2}.\nAnswer: 10\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -287\/2462 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2346446?\nAnswer: 2, 1173223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1126 and 17397263?\nAnswer: 563","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -89, 3.\nAnswer: -89, -5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*y - 111 = -78. Let c(s) be the first derivative of s**3 - s**2\/2 - 2*s + 4. Give c(y).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.31 + 15.31. Let w = m - 13. Which is smaller: 2\/5 or w?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in one sixteenth of a milligram?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*c*s**2*u**2 + 7*c*s**2 + 2*c*s*u + 971*c*u**2 + 2*c*u - 69*s**2*u - s**2 + 3*s*u**2 wrt u.\nAnswer: 8*c*s**2 + 1942*c + 6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**2 + 116*n + 1506. Give a(-13).\nAnswer: -171","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1954692?\nAnswer: 2, 3, 2011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1*13*6\/6?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4.02 - 0.02. Let w = -4.4 + k. Let y = -0.2 - -3.2. Which is the nearest to 1? (a) -3\/2 (b) w (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 3*m**3 + 45*m**2 - 526*m - 7540. Calculate s(-16).\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 55170.68ml to litres.\nAnswer: 55.17068","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -2*s - 12. Let d be ((-7)\/(-2))\/((-2)\/4). List the prime factors of w(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c + 3830*t - 43 = 3826*t, 3*c + 5*t - 63 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 3*r + 8. Let p(j) = -j. Let l(v) = -f(v) - 2*p(v). Let m be l(-6). Let h be 4\/(-6)*6\/(-10). Sort -1\/2, m, h in decreasing order.\nAnswer: h, -1\/2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 214204 (base 6) to base 5.\nAnswer: 1032123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 3*k - 12, -x = 23*k - 25*k + 8. Suppose -4*q + 3*y - 16 + 1 = 0, 10 = k*q + 2*y. Which is smaller: -7\/29 or q?\nAnswer: -7\/29","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 4*s - 23. Let f be y(6). Suppose 2*i = f + 7. Suppose g - b - 3*b = 20, -i*g = -5*b - 25. Does g = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6870*b + 7810*b - 1 - 551*b + 1 in the form z + r*b and give r.\nAnswer: 14129","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 114 - 44. Suppose -5*f = -5*b + v, -b - 56 = -5*b - f. What are the prime factors of b?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**5 - 5*r**4 - 17*r**3 + 125*r**2 - 184*r + 80.\nAnswer: (r - 4)**2*(r - 1)**2*(r + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -2 + 2 + 4*u. Let p(x) = x**2. What is s(p(r))?\nAnswer: 4*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c - 4*c + c)*(c + 1 - 1) - 4*c**2 + 8*c**2 + c**2 + (-1 + 7 - 3)*(-2*c**2 + 5*c**2 - c**2).\nAnswer: 9*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -28\/9 + 187\/63. Let d = 232.072 - 232. Let t = -0.172 + d. What is the closest to t in -2, -1\/2, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -2*z**2 + 7*z - 7. Let w be r(3). Let s be (w\/(-8)*0)\/2. Solve 0*o + 5*o - 20 = s for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 116*n - 6*n - 38*n - 32*n.\nAnswer: 40*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -224*z + 76*z - 114*z to w*z + k and give w.\nAnswer: -262","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 282*j**3 - 3*j**2 + 4*j**2 - j**2.\nAnswer: 282*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - -2 - 5 - (1 - 2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 64124?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 85.2 - 85.24. Is p greater than -12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/180 + (2 - -5)\/(-28)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.76 - -0.7. Let n = o - -0.06. Let f = 5 + n. What is the nearest to 0.2 in f, -5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the first derivative of -b**2\/2 - 8*b - 12. Let n = 15 - 52. Let w = n + 31. Give s(w).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 14, -64, -280, -700, -1390?\n\"Answer: -11*z**3 - 3*z**2 + 8*z + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3236 and 1112.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 - 0)\/2*3\/6. Solve 2*u + 10 = -t*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/3 (b) -2 (c) -35\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 c when two letters picked without replacement from yyiyeyyqqcyqyiyqqqaq?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxvvvvvvvvvvvvvvvxx. What is prob of picking 2 v?\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i\/i**23*i)\/i**(-3\/2))**(-20) assuming i is positive.\nAnswer: i**370","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = -3*y + 15. Put 8, 3, y in decreasing order.\nAnswer: 8, y, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 260982 = -2*m - 1824098, 390774 = -n - 3*m. What is n rounded to the nearest 10000?\nAnswer: -390000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1010100 (base 2) in base 10?\nAnswer: -84","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r. Let l(t) = -5*t + 7. Let d(h) = -l(h) + 4*v(h). Let u be d(10). What is the second biggest value in 2, 1, u?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is two fifteenths of a week in seconds?\nAnswer: 80640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -23 - -26. What is the lowest common multiple of v and 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2 + 1 - -2)\/((-1)\/(-691)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -72 + 575\/8. What is the nearest to -1\/2 in -0.5, 0, q?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 556 = 5*i - 4*i + 4*w, 3*i = w + 1642. Let l = -549 + i. Sort -0.5, -0.2, l, 26 in ascending order.\nAnswer: l, -0.5, -0.2, 26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -s**2\/4 + 67*s\/4 - 33\/2 = 0. Calculate s.\nAnswer: 1, 66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 18 - 11. Let h(d) = -d**3 - 39*d**2 + 3*d + 121. What is the least common multiple of h(-39) and p?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3732\/7*z + 942\/7*z**2 + 3720\/7 + 3\/7*z**3.\nAnswer: 3*(z + 2)**2*(z + 310)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2 - (-4 - -2)) + -4 + 0. Let f = 177 + n. List the prime factors of f.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 1)*(-4*x**3 + x**3 + x**3)*(-4 + 4 + 2) + 27*x**3 + 74 - 74.\nAnswer: 31*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1.8 (b) -0.1 (c) 15 (d) -813\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccooocc. Give prob of sequence cooc.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*y - 14*y + d - 2 = 0, 2*y + 8 = -3*d. Solve 3*a + l = 7, -y*l - 11 = a + l for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11 - 7. Suppose 0 = -c*s - s + 60. What is the highest common divisor of s and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3\/(-4))\/3 + (-202977)\/65380. Let k = 6\/2335 - o. What is the common denominator of 41\/18 and k?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (29 - 14) + -27 - (-8 - -2).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 115\/42 and 4\/21.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 381983?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 5*u**3 - 11*u**2 - 49*u. Let r(g) = -2*g**3 + 5*g**2 + 24*g. Determine -9*r(h) - 4*t(h).\nAnswer: -2*h**3 - h**2 - 20*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 353342 < -17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-4))\/(360\/64)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -255 + 426. Is 19 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x - 2. Let t(j) = -2*j + 4. Let s = -235 + 230. Determine s*n(d) - 2*t(d).\nAnswer: -d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 + -8.7. Let h(i) = i + 6. Let u be h(-7). What is the closest to -1\/3 in j, u, -11?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:53 PM and 3:45 AM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, h: 1, s: 2}. Give prob of sequence ssh.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -42126 divided by -118\nAnswer: 357","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 f when two letters picked without replacement from shhhfhhmhhhsh.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 47.504574ns in hours?\nAnswer: 0.000000000013195715","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 142 + 46. Suppose -2*h - 80 = 2*t + b, -238 = 2*h - 4*t. Let a = 178 + h. Which is smaller: a or 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 5*i - 15, 0*p = -4*p + 2*i + 12. Let j = -27 - -29. Suppose 2*d + j = 4*d. Sort p, -1, d.\nAnswer: -1, d, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.169 - 0.009. Sort 2\/7, r, 0.5, -1 in ascending order.\nAnswer: -1, r, 2\/7, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 27\/(-24) - -1 - 132\/(-32). Solve -h = q - 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1187577791.\nAnswer: 23, 31, 571, 2917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1242 and 383226.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 3 = -0*y. Suppose 1 - 13 = y*d. Let c(f) = 4*f + 1. Let k be c(-1). Sort k, d, 0 in increasing order.\nAnswer: d, k, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4\/(-6))\/(2\/(-21)). Let m be ((-17)\/(-34))\/(2\/(-24)). Let i(x) = -7*x**2 - 2*x + 7. Let f(w) = -8*w**2 - 2*w + 8. Give m*f(v) + s*i(v).\nAnswer: -v**2 - 2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-2)*(-18)\/3. Suppose h = f*h. Suppose h = -m + 3*m - 2. Are m and -2\/13 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17331649 is divided by 8665787?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2 + -1)\/((-2)\/(-54)). Suppose -q*t = -33*t + 54. Suppose m + t = 17. Calculate the greatest common divisor of 56 and m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (39075\/6)\/1 - (-3)\/(-6). Suppose s = 6*g + 686. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13875\/500)\/(5\/8) + (-2)\/5.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**2 - 5*f - 8. Let u be p(6). Calculate the remainder when (49 + 0)\/(u\/(-2)) is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -7*i**2 - 17*i + 15. Let b(k) = 3*k**2 + 8*k - 8. Let s(w) = -2*a(w) - 5*b(w). Let y be (28\/6)\/((-6)\/9). What is the units digit of s(y)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1095, 2191, 3273, 4335, 5371, 6375, 7341, 8263?\nAnswer: 9135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 101832714 and 17984.\nAnswer: 562","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(1400))\/(sqrt(4)\/sqrt(2)*2)*4)**2.\nAnswer: 2800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13.6 + -4.7. Let p = -18.4 - s. Which is the nearest to p? (a) 4 (b) 26 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 118 - (235 + -106) - (44 - 1)?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -590, -1082, -1574?\nAnswer: -2066","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3dc39 (base 16) to base 15.\nAnswer: 4ee5a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 732.0577 years?\nAnswer: 7.320577","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.99 - 2. Let o = 0.11 + u. Which is the second smallest value? (a) -0.3 (b) o (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*a + 280 = -69*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3726 and 1472.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 5 - 3)*(2*o**3 + o**3 - o**3) - o**3 + 22*o**2 - 42*o**2 + 15*o**2.\nAnswer: -3*o**3 - 5*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 2 = -2*v + 5*p, -4*v - 4*p = 60. Calculate the smallest common multiple of 24 and (-272)\/(-44) - (-2)\/v.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -77, -158, -243, -332, -425, -522?\nAnswer: -623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (2 - 11406\/(-27)) + 4\/(-9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 13) to base 8.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 263614747 to the nearest integer?\nAnswer: 641","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12369 - 11883. Calculate the least common multiple of r and 60.\nAnswer: 4860","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/1156 and -105\/993344.\nAnswer: 16886848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes before 12:40 PM?\nAnswer: 11:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v*v**0*v)\/v)**(-1\/9)*(v**(-1))**(-24))\/(v**(-1\/6)\/v*v**5*(v**0)**(-15\/2)) assuming v is positive.\nAnswer: v**(359\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l + j + 208 - 83, -4*l - j + 91 = 0. Solve -l*w = -14*w - 40 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 2 = -4. Solve -2*d = -3*k - 4, -5*d - 6 = -u for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 82.86, 0.1, 4\/15, 3\/10, -3, 1?\nAnswer: 82.86","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.079 times 0.18366\nAnswer: 0.01450914","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 4, h: 2, v: 8, z: 1}. Give prob of sequence hvkh.\nAnswer: 8\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 76 - (-5 - -28 - 25) - 11.\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 p, and 1 o when three letters picked without replacement from {p: 2, t: 1, o: 1, a: 2, r: 1, k: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -679778*x**2\/7 - 18049680*x\/7 - 119815200\/7 = 0?\nAnswer: -7740\/583","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/(-5)*141\/(-2)*5. Suppose 3*d - c = -4*f, -2*f - 4*d + 273 = 49. Let 50*k + 49*k - f*k + k**3 + 2 = 0. Calculate k.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 433586.\nAnswer: 2, 431, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 35*d - 74*d - d**2 + 34*d in the form s*d + j*d**2 + a and give s.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 8048296.\nAnswer: 1\/8048296","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -19499.52 rounded to the nearest 100?\nAnswer: -19500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2\/34361 - 17421023\/68722. Let o = 265 + j. Factor 13\/2*q**2 + 0 + 27\/2*q**3 + 7\/2*q**5 + q + o*q**4.\nAnswer: q*(q + 1)**3*(7*q + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the second derivative of -17*n**7\/6 + n**5\/20 - 533*n**3\/2 - 1350*n. What is the second derivative of l(x) wrt x?\nAnswer: -2380*x**3 + 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 142*f - 1412. List the prime factors of c(58).\nAnswer: 2, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 223 - 7dc18?\nAnswer: -7d9e5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y*y**(-11)*y*y*y)\/(y**(-17)\/y))\/(((y**(1\/13)*y)\/y)\/y**(-19)))**(-21) assuming y is positive.\nAnswer: y**(1932\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + -2*(2 + (sqrt(891) - -1*sqrt(891)*-5))*1)*2)**2.\nAnswer: -5184*sqrt(11) + 228420","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010101 - -1?\nAnswer: 1010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a hour in minutes?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 2 = -u, 0*u - 3 = -5*u + 3*f. Solve -4*g + 63 - 55 = u for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 minus -11?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14717 - -176551.\nAnswer: 161834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**3 + 13*z**2 + 8. What is the remainder when j(-13) is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -527823 by -43.\nAnswer: 527823\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 59 + -50. Suppose -4*p + 7 = -g. Suppose -t = t. Solve t = -i - p*i - 5 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 2\/73799?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.07, 3\/11, 18.8, 5, -2 in decreasing order.\nAnswer: 18.8, 5, 3\/11, -0.07, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -65222, -65220, -65220, -65222, -65226, -65232?\n\"Answer: -t**2 + 5*t - 65226","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8480 + -8333. Calculate the remainder when 452 is divided by h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-310)\/(-1085))\/(40\/7)?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*k - 3*t + 1 - 32, 4*k = 4*t + 28 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/17? (a) 0.3 (b) -2\/3 (c) 0.5 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 317 smaller than 3474\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -33 - -49. Let n = -8 + o. Solve 3*j - 7 = n for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15557 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-59)\/((-885)\/18))\/((-3)\/(-20)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -504*t = -413*t - 1456 for t.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2014, -4 in decreasing order.\nAnswer: 2, -4, -2014","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, -2, -3, 10.\nAnswer: -3, -2, 10, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -89 + 93.5. Let j = -4.4 + x. Sort -19, -1, j in increasing order.\nAnswer: -19, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzzlzlzzlzhpszzzzlh. What is prob of sequence zspl?\nAnswer: 11\/23256","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 23 - 22.9. What is the second biggest value in -0.4, -6\/11, z?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes after 3:28 PM?\nAnswer: 8:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 5*m + 3. Let z = -47 - -84. Suppose -4*l + 10 = 2*g, 2*l + z = -g + 6*g. Calculate the remainder when f(6) is divided by g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 498*f - 102947 - 139453 = -5907*f + 345*f for f.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -76 - -224\/3. Let d = -2624.2 - -2625. Put d, 1, 0.4, a in descending order.\nAnswer: 1, d, 0.4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 690267*f**3 - 2*f**2 - 720867*f wrt f?\nAnswer: 4141602","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -69, -188, -511, -1140, -2177, -3724, -5883?\n\"Answer: -17*j**3 - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 21 (b) 0.5 (c) 1\/7 (d) 52\/19 (e) 17 (f) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2\/5, 5, 3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -886 and 21.104302895?\nAnswer: 907.104302895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13 + 39. Suppose -w = -5*l - 12. Let a be (-4)\/(l\/3)*-10. What is the highest common factor of 120 and a?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -3157, -6289, -9399, -12481, -15529, -18537?\n\"Answer: y**3 + 5*y**2 - 3154*y - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -91559733*g**5 - 2*g**4*o**3 + 104*g**2*o**2 + 5*g**2 - 943*o**3 + 6*o**2 wrt g?\nAnswer: -5493583980*g**2 - 48*g*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:40 PM and 4:56 PM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2262726791 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 102*c**3 - 52*c**3 - 54*c**3.\nAnswer: -4*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 53 (b) -0.1 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/12 in 1\/5, 1.8, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -3*z**3 + 14*z**2 + 5*z - 2. What is a(5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16.024 + -16. Let m = 0.927 + 0.099. Let a = m + n. Round a to one decimal place.\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes before 8:04 AM?\nAnswer: 12:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1450 to the power of 1\/2, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*6*(sqrt(68) + (-1 + sqrt(68))*-5 + sqrt(68) + 3*(sqrt(68) + (sqrt(68) - (sqrt(68) + -1))) - sqrt(68)*2*-1*-3))**2.\nAnswer: -248832*sqrt(17) + 3255552","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 u when two letters picked without replacement from vutzzuduzrrrzztzvvvr?\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 - 10000?\nAnswer: -7774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -932*k + 37862 - 3251 - 127 = 0 for k.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b + 134. Let t(n) = -2. Let h(v) = -t(v) + u(v). Calculate the remainder when h(-12) is divided by 64.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 31*y + 5. What is the least common multiple of 22 and u(1)?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -1) + -5 + 3\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + p = -17, 3*h + 2*p + 16 = 3. Let f(r) = -2*r**2 - 11*r - 9. Let j be f(h). Let a = -18 - j. What are the prime factors of a?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 89 = 5*j, -3*y + 42 = 2*j + y. Let d = -1294 - -1308. Let c = j - d. Solve s - c*s = 8 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3350 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1350 + 287 - 897 = 98*t for t.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 10, s: 4, y: 2}. What is prob of sequence yqsq?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1344 and 588?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((1\/2)\/(-1))\/((-2)\/12). Differentiate -4*z**3 + 128*z**4 + h + 16*z**3 - 12*z**3 with respect to z.\nAnswer: 512*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -37552340 divided by 35.\nAnswer: -1072924","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0*(36\/(-63) - 26\/(-70))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 0*b - 242 = 2*n, 0 = -5*b + 4*n + 607. Suppose b = x + 2*x. List the prime factors of x.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -830 divided by 137\nAnswer: -830\/137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 6*s**2 - 2*s + 5. Let c(z) = -12*z**2 + 4*z - 11. What is 13*b(j) + 6*c(j)?\nAnswer: 6*j**2 - 2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-6)*3 + 10\/(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 + -5. What is the smallest common multiple of 9\/2*(6 - 4) and k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 236 in -1, 5, 2, 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72*k + 1258*k**2 - 30*k**3 + 1267*k**2 + 3*k**4 - 2486*k**2 = 0 for k.\nAnswer: -1, 0, 3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62 = -y + m, 2*m + 3 - 59 = -y. Suppose 21*l = 16*l + y. Does 3 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1 + 280 + (-303 - -295) is divided by 267?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -43 + 99. Let d = -13 + m. Calculate the remainder when d is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the third derivative of -k**4\/24 + 19*k**3\/6 + 5*k**2 + 44. Give p(7).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -64, -76, -92, -112, -136, -164?\nAnswer: -196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -4 times -43\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -35*a**2*o**2 - a**2*o - 3781*a**2 + a*o**2 + a*o - 508*o**2 + 34*o - 1 wrt o?\nAnswer: -70*a**2 + 2*a - 1016","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (444\/(-48) - 3) + 12.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 11 and -0.2017455832903.\nAnswer: 10.7982544167097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 111, 45, -21, -87, -153, -219?\n\"Answer: -66*p + 177","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 2050079?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-164 - 53 - 104)*(2*u + 14*u - 2*u) - u + 4 - 4 + (3 - 5 + 0)*(-2*u + u + 2*u).\nAnswer: -4497*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 100043 is divided by 45?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j. Let m(b) = 90*b - 90. Let n(c) = -c + 3. Let a(w) = m(w) + 30*n(w). Calculate a(g(k)).\nAnswer: -60*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 366438*h**3 + 3*h**2 - 120*h + 26?\nAnswer: 2198628","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 3 = -6. Suppose -g*o + 3*y - y = -8, -4*o - 4*y - 16 = 0. Suppose 4*i = 2*w - w - 23, o = 5*w + 2*i - 71. Does 15 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -28, -21, 0, 41, 108?\nAnswer: 207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 7, b: 6, v: 1}. What is prob of picking 1 t and 1 v?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 17*r**2 - 7*r - 10. Suppose -3*v = o - 79, -v + 22 = -4*o - 0*o. Suppose 31*i + 10 = v*i. Is y(i) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 2 + 0)*(10*f + 8*f - f)*(-3*f + 4*f + 2*f) to i*f**2 + s + d*f and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (57 + (-44 - 17))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*s = -6*s + 238 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2 - 1) + 26\/(-30). Let h = -96 - -92. Let v = 87 - 90. What is the second smallest value in h, u, -3\/2, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 26190421?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -6*l**2. Let x(o) = -15*o + 14*o + 3*o. Calculate q(x(v)).\nAnswer: -24*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7.1 + -7. Let z = 39 - 18.3. Let j = -19.7 + z. What is the nearest to j in 2\/7, r, -2\/9?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3492619 to the nearest integer?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 57.087 - 0.087. Let m = -37 + q. Let x = m - 20.039. What is x rounded to two decimal places?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*2713.24.\nAnswer: -1356.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 225\/81 - (-4)\/18 - -2. Let y(v) = v**2 + 6*v + 6. Let g be y(-6). Solve -2*q = x*d + g, -2*d + q - 3 = 2*q for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -18 (b) -0.2 (c) 4 (d) 0.12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u + 9. Let f be c(7). Let x(n) = -2 + n**f + 1 - 7*n + 6*n. Suppose a - 5*w = -0*a - 3, -3*a - 4*w + 10 = 0. What is x(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**2\/5 - 108950*o + 14837628125.\nAnswer: (o - 272375)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.410583 and -14752?\nAnswer: 14751.589417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e when three letters picked without replacement from pzpnpppeseew?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 60060080?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 25 - 28. Let r(k) = -114*k**3 + k**2 - 3*k + 4. Let i be r(y). Round i to the nearest one hundred.\nAnswer: 3100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -14382362 equal to -14382420?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -2*h + 3. Let a(j) = -j + 3. Suppose -3*n + n = 2. Let b(p) = -1. Let l(z) = n*a(z) - 3*b(z). Give l(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times -430?\nAnswer: -430","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -3342, -3517, -3692, -3867, -4042, -4217?\n\"Answer: -175*x - 3167","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 287225 to the nearest integer?\nAnswer: 536","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 184330637 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the third derivative of j**9\/126 - 193*j**8\/168 + 1429*j**5\/30 - 3010*j**2. Find the third derivative of w(q) wrt q.\nAnswer: 480*q**3 - 23160*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4689 and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-4))\/((-25308)\/(-11248))\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -7*j + 2, -2*n - 2*n + 26 = 5*j. Solve -4*q + 101*u - 105*u = 44, -n*q + 5*u + 1 = 0 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-74)\/(108780\/(-315)))\/((-1)\/((-14)\/(-24))).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**2 + z - 30. Suppose -5*m = -3*k + 42, 4*m - 2*k = 2*k - 40. Let t be q(m). Put -5, 6, t in decreasing order.\nAnswer: 6, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2870 is divided by 357?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 277 is divided by 35?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**3 + 21*l + 2 - 4*l**2 - 16*l + 7*l - 8*l**2. Give o(11).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2491*t + 2341*t = -608*t - 326*t + 46128 for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14488 is divided by 1612?\nAnswer: 1592","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c - 3 - 9. Let s(g) = -c*g + 3*g - 5 - 4*g. What are the prime factors of s(-5)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 38\/39 and -3\/299?\nAnswer: 897","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 48038*x**3 - 17*x**2 - 368.\nAnswer: 288228","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5630155 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - -22 - (-189 - -220)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**3 - 15*w**2 + 17*w - 19. Give m(14).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 - 0.2. Let s = -3.8 + 4.3. Are x and s non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + n = -455, 2*y - 7*n - 164 = -3*n. Calculate the remainder when y is divided by 9.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 121 (base 8) to base 6.\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 576 is divided by ((-66)\/77)\/(2\/(-1302)).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4\/3, 0.776, -2?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(68)*1 - sqrt(68)) + -3*-2*sqrt(68))\/(1*sqrt(576)*1).\nAnswer: sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-20 - (3 + -14)) + 7\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 70496, 70561, 70650, 70763, 70900, 71061, 71246?\n\"Answer: 12*d**2 + 29*d + 70455","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 3*r. Let v(c) be the third derivative of 13*c**5\/15 - 420*c**2. Give v(q(y)).\nAnswer: 468*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a - 12. Let b(u) = 3*u + 72. Let r(t) = -b(t) - 6*w(t). Let s(j) be the third derivative of 161*j**4\/24 + 21*j**2. Determine s(r(z)).\nAnswer: 483*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**5\/4 + 32*t**4 - 810*t**3 + 7600*t**2 - 24500*t.\nAnswer: -t*(t - 98)*(t - 10)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes before 4:21 AM?\nAnswer: 11:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2098, -2227, -2356, -2485, -2614?\nAnswer: -2743","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -97661652 divided by -22.\nAnswer: 4439166","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153) + -5*(sqrt(153)*-1 + sqrt(153)) + sqrt(153))\/(sqrt(63)\/sqrt(112)).\nAnswer: 8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 366644 divided by -678?\nAnswer: -183322\/339","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 6167.\nAnswer: 4\/6167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30321*n - 158 + 15165*n + 158 + 15157*n.\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/70? (a) -3 (b) -7 (c) 0.028\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/48 and 49\/1458.\nAnswer: 11664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 4480, 9875, 18900, 31561, 47864?\n\"Answer: h**3 + 1809*h**2 - 39*h + 2709","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 534 divide 116925647?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes after 6:05 PM?\nAnswer: 9:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the first derivative of 381*z**4\/2 - 94*z**3\/3 - z + 2553. What is the third derivative of u(t) wrt t?\nAnswer: 4572","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*q + 18 - 53 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 365 + -1.98505\nAnswer: 363.01495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/(-4))\/((-90)\/180).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 265 and 466135?\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.467441 to 1 dp.\nAnswer: -5.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 16 (base 10) to base 8\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35688147?\nAnswer: 3, 11, 541, 1999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -313486880 divided by 7837172.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3413429989 to the power of 1\/2, to the nearest integer?\nAnswer: 58425","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -40 + 39.83. Let f = -0.03 + l. Which is the third smallest value? (a) f (b) 0.3 (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -8.74 and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 2*n. Let u = 988 + -986. Let m(v) be the first derivative of 0*v + 5 + 3\/2*v**u. Calculate -5*m(h) + 6*o(h).\nAnswer: -3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*z - 106475 = 8*z. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 242147 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 120083 is divided by 428.\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 > 2\/207?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q. Let r(b) = -4*b**2 - b + 32. Calculate r(u(w)).\nAnswer: -4*w**2 + w + 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + 126\/(-15)*1?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 163 divide 258169832?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 270207 is divided by 38577.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 6*n + 16. Let h(f) be the first derivative of 5*f**2\/2 + 14*f + 58. Let r(a) = 7*h(a) - 6*j(a). Let g(m) = 2*m**2. Give r(g(s)).\nAnswer: -2*s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/(14\/(-7)*1\/1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -29, -33, -41, -53, -69, -89, -113?\n\"Answer: -2*z**2 + 2*z - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-32)\/30*(-65)\/442*-17.\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -5*z - 1348, 481*u - 476*u - 6866 = 4*z. Is u a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1*(-12 - -2)\/(-2). Suppose -4*o + 48 = -b, 2 = -0*o + 2*o + m*b. Does 11 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h + 5. Let v be s(3). Suppose z + 3 = 3*w + 2*z, v*z = 3*w + 6. Solve 2*b = -w*b + 8 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.2 (b) -5\/2 (c) 3\/4 (d) -12\/5 (e) 180 (f) -1\/17\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10 - -1) + (1 - -14) - -7?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 104, 214, 322, 428, 532, 634, 734?\nAnswer: 832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 2 = 5*z, 0 = 3*z - 2*d - 10 - 2. Suppose -5*j = -z*j - 9. Solve -5*p - j = -13 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -117 * 92.82.\nAnswer: -10859.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of -14519 and -20.726.\nAnswer: 300920.794","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -17247789.5 to the nearest one hundred thousand.\nAnswer: -17200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-410)\/8 - 3)\/(378\/(-54)).\nAnswer: 31\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qhhhhqh. Give prob of picking 1 h and 1 q.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**3 - 26*y**2 - 69*y - 3500. Let m be s(-28). Solve -4*j - 2*d - 86 + 58 = m, 0 = -4*d - 16 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((3 + (-243)\/80)\/((-33)\/55))\/((-35)\/10)?\nAnswer: -1\/56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 2*l - 28244 = 0. Let p = l - 4962. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -5 (b) 20 (c) -0.5 (d) 484 (e) -1 (f) 0.2 (g) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(98) + -1)*6 + 3 + 3*(sqrt(98) + -2)*6)**2.\nAnswer: -173907 + 39312*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 7.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 223 - -45?\nAnswer: 268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:01 PM and 11:25 PM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -49 - -54. Let o = -16 - -17.4. Put y, o, 2 in decreasing order.\nAnswer: y, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - -4) + 3 + (15 - 15)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**3 - 6*o**2 - 2*o + 3. Let v be h(-3). Let a be (48\/v - -3)\/((-1)\/(-9)). Differentiate 13 - 35 - l**3 - 14*l**a with respect to l.\nAnswer: -45*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*t**3 + 47*t**2 - 47*t**2.\nAnswer: -11*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 41 - 204\/5. Let w = 6 - 5. What is the biggest value in w, n, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o. Let y be 33\/12 - 4\/(-16). Suppose -q = -y - 2. Let u(j) = 10*j**2 - 3 - 2 + q. Give m(u(c)).\nAnswer: -10*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 66617\/18096 + 7\/1131. What is the common denominator of (0 - (-82)\/4)\/(-2) and l?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 44, 81, 92, 65, -12, -151, -364?\n\"Answer: -2*a**3 - a**2 + 54*a - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the first derivative of -4*p**2 + 5*p - 16. List the prime factors of x(-14).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5742967273 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence er when two letters picked without replacement from zkwffeerfwwfkzke.\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwwjwwjj. What is prob of sequence jwjw?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -2*c**2. Suppose 2*l - 4*h + 20 = 0, -2*l - 2*h = 2 - 12. Let f(g) = 0 + l - 119*g**2 + 114*g**2. What is f(o(j))?\nAnswer: -20*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 16915853 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 161 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (60\/550)\/(6\/30).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -96*k**5 + 64756*k**4 - 99456*k**3 - 99716*k**2 + 75360*k + 10768 = 0.\nAnswer: -1, -1\/8, 2\/3, 2, 673","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 659165506?\nAnswer: 2, 47, 89, 78791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 4670000\nAnswer: -1\/4670000","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/5 of a decade in months?\nAnswer: 696","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 243592 divided by -2\nAnswer: -121796","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -h - 4*t, -1 - 7 = -2*h + 4*t. Suppose 2*n + 51 = 5*n - 3*a, -h*n = -5*a - 49. What is the smallest common multiple of n and 3\/(3\/37) + -1?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 649*o = -602*o + 1130*o - 4598 for o.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-2 + sqrt(1008) + (sqrt(1008) - (1 + sqrt(1008))*4))*1*1.\nAnswer: 18 + 72*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f - 5*s = -118 + 118, 0 = 3*s for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 6 = -5*i - 31, 0 = -2*i - 3*c - 19. Let x = 39 + i. Let z = 49 - x. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrmrrrrrrm. What is prob of picking 2 r?\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:29 PM and 1:27 AM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the third derivative of c**5\/20 + c**4\/4 - 3*c**2. Let h be y(-4). Solve 5*z + 9 = h for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1769, 1861, 1953, 2045, 2137?\nAnswer: 2229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9*l**5 - 47*l**4 - l**2 - 36132*l?\nAnswer: 180*l**3 - 564*l**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the third derivative of 19\/40*w**6 + 0*w**4 - 4*w**2 + 1\/60*w**5 + 0*w + 0 + 0*w**3. Is m(1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a day in seconds?\nAnswer: 75600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9632.\nAnswer: 2, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*v**2 - v**2 + 4*v**2)*(3*v + 2 - 2) - 19*v**2 + 2*v**3 + v + 19*v**2.\nAnswer: -4*v**3 + v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8260 by 5.\nAnswer: 1652","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 3 = 0, 0*s = 2*s - 3*h + 39. Let r = s - -28. Calculate the highest common divisor of r and 70.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1*3\/(-6)*0. Suppose -4*s = -4, 0*c - 2*c - 2*s - 6 = h. Let v(r) be the third derivative of -r**4\/24 - r**3\/3 - 2*r**2 + 10. Calculate v(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/((r**(-4)\/r)\/r))\/r*r**8\/r*r*r**(1\/10)\/(r**(-9)\/r))**(-21))**(14\/3) assuming r is positive.\nAnswer: r**(-11809\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -f + 5*f. Let u = 3634.4 - 3636.4. Sort -0.041, f, u.\nAnswer: u, -0.041, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0474816376 to 5 decimal places.\nAnswer: -0.04748","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put together -3465554 and -0.8.\nAnswer: -3465554.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 2 + 0)*(-s - 2*s**2 + s) - 3*s**2 + 3*s**2 - s**2 - 208*s + 2*s**2 - 3*s**2 + 183*s as v + b*s + k*s**2 and give k.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:54 AM and 4:26 PM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 111.746027 to zero dps.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y + 32 = -c, -6*c + 102*y = -5*c + 101*y + 52 for c.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*o**2 - 17*o + 16*o - o**3 + 3*o**2 as y + j*o + t*o**3 + g*o**2 and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 12) in base 8?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 5, q: 6, d: 2}. What is prob of picking 1 q and 1 e?\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:20 AM and 4:22 PM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10724 and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.056618259 and -0.3.\nAnswer: 0.0169854777","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*4\/(-10)*4\/(-8).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 62*u**3 + 45*u**2 + u - 24616?\nAnswer: 186*u**2 + 90*u + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 13535 less than or equal to 13499?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(-3)\/q)\/(q\/q**(1\/2))*(q**(-2\/5)*q)**(-48) assuming q is positive.\nAnswer: q**(-323\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 194\/777 + 4\/111. Let j(q) = q**3 - 9*q**2 - q + 12. Let l be j(9). Let i = 2 - l. What is the nearest to i in v, 5, 0.5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3 + 100\/24)*(-18)\/(-84). Which is smaller: c or -128?\nAnswer: -128","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-47260)\/61438*(3\/(-12))\/1.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 103317870 a multiple of 110?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 73584 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: What is the least common multiple of 1348640 and 1792?\nAnswer: 75523840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 627*o**2 + 4*o**3 + 430*o**2 + 5*o**3 - 5*o**3.\nAnswer: 4*o**3 + 1057*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**14)\/(n**(-1)*n)*(n**17*n)\/n**(-4) assuming n is positive.\nAnswer: n**37","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h - 99 = 8*h. Let s be h\/(-55) - (-2)\/10. Suppose -3*o = -5*k - s*o + 2458, -4*k + 1955 = 3*o. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -7, 5, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:07 AM and 10:19 AM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 61\/2, 0.21, 9?\nAnswer: 0.21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5382\/156 + -1 + (-3)\/(-2). Let w be 42\/18*30\/q. Solve 5*z - 2 = 13, -3*d + 9 = w*z for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41 + -8 + -37 + -6 + 2.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 211166098 divided by -1166.\nAnswer: -181103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(132)\/(sqrt(12)*2*2) + (sqrt(495)*2)\/sqrt(5).\nAnswer: 25*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6.033 - -5.66. Let t = 0.373 + d. Which is the closest to 0.08? (a) t (b) -0.2 (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2626?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 r, and 1 b when three letters picked without replacement from lxbxfrxxfbfrrrfbrar?\nAnswer: 24\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from biibdbbbbdbubdje. What is prob of picking 1 e, 2 u, and 1 b?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 80849 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -131, -137, -141, -143, -143, -141, -137?\nAnswer: -131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -28945 * -259\nAnswer: 7496755","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 271 - 274. Let z be ((-252)\/(-70))\/(u\/10). Let j(c) = -c - 6. What is j(z)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1770664 divided by 221333\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -2*b + 4. Let q be i(7). Let s = q + 16. What is the first derivative of s - 1 - z**2 - 2 wrt z?\nAnswer: -2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*g + 10*g = 10. Suppose 41*n - 20 = 36*n. Let b be 1\/(n\/30*(-3)\/(-6)). Solve -g*u - b = -13*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4583 + -4585. What is the fourth biggest value in -2\/3, 0.5, f, -0.2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4491271 to the power of 1\/6, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 23*x + 4. What is the units digit of a(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -351 and 4.9?\nAnswer: -1719.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 3 - 5 = -2*m, 2*h + 7 = 3*m. Let g be (5 + (-1 - m))*1. Let x be (4 - 4) + 12\/(-32). Which is the third biggest value? (a) x (b) 2 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -274*t + 274*t + 20*t**3 - 17*t**2 wrt t?\nAnswer: 120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (57*j**2 + 48*j - 48*j)*(3*j + j - 3*j)*(-2 - 1 + 4)*(-3*j + 0*j + 4*j) in the form s*j + r + c*j**3 + b*j**4 + z*j**2 and give b.\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 7165627 to the power of 1\/2, to the nearest integer?\nAnswer: 2677","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13198?\nAnswer: 2, 6599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -87*a**2*g**2*i**2 + 2*a**2*t**3 + 3*a*i**2*t - 2*a*i**2 + 2*g**2*i**2*t**3 - 2*g**2*i*t**2 wrt a.\nAnswer: -174*g**2*i**2 + 4*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 7, e: 7}. Give prob of picking 2 q and 1 e.\nAnswer: 21\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -45069 (base 10) to base 11\nAnswer: -30952","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1033, -1778, -2521, -3262, -4001?\n\"Answer: s**2 - 748*s - 286","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 15*z + 7. Determine d(-2).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the third derivative of 179*b**7\/42 - 1025*b**4\/24 - b**2 - 60. Find the second derivative of l(x) wrt x.\nAnswer: 10740*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/14 and 97\/263576.\nAnswer: 1845032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2 and 133.\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/64 of a week in seconds?\nAnswer: 9450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 15451*q - 46523. Give h(3).\nAnswer: -170","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-338)\/13351 - 22525\/(-395)?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 0*s**2 + 2*s**2 - 5*s**2. Let w(o) be the third derivative of o**5\/60 - 29*o**2. Calculate w(a(d)).\nAnswer: 9*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.9 - -1. Let i = 10.04 + -10. Let h = -0.16 - i. Is h >= j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-6)*(-1155)\/(-110)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 85813100?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 159 by -3.\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in sixty-one quarters of a second?\nAnswer: 15250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*o = -105 - 3. Is 75\/2 - (-3)\/o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 66024132?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 5773967039 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 333 and 247974.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -27.016 + 24.016. What is the closest to 1 in 2\/9, -5, c, -163?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-10)\/(q*q*q**(-9)))\/(((q\/(q**20*q))\/q)\/q)**(-8))**27 assuming q is positive.\nAnswer: q**(-4833)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6776)*1)\/(sqrt(8) - (sqrt(96)\/(sqrt(24)\/sqrt(2)) - sqrt(8))) - (sqrt(49) - (sqrt(98)\/sqrt(2) + sqrt(49))*-6)\/(sqrt(84)\/(sqrt(48)\/sqrt(4))).\nAnswer: -2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 258 and 903.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**3 - 6*j**2 - 3*j + 7. Let t be k(-5). Let w(x) = 2*x**3 + 3*x**2 + x - 4. Let s be w(t). Is 15 a factor of (s\/5)\/((-1)\/5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10502 = 44*s - 171702. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*y - 123*y + 170*y**2 + 30*y - 87*y**2 - 82*y**2.\nAnswer: y**2 - 122*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.44? (a) -40 (b) -8\/17 (c) 0 (d) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**2 + 2*x - 2. Let v(t) = -4*t**2 + 7*t - 7. Let s(o) = 7*j(o) - 2*v(o). Let f(g) = -3*g - 65. Calculate f(s(d)).\nAnswer: -3*d**2 - 65","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 5034274793 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 80000 to the power of 1\/2, to the nearest integer?\nAnswer: 283","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 2052512*r. Let h(b) = 2*b**2 - 8. Calculate h(u(c)).\nAnswer: 8425611020288*c**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9 - -6. Let n be -2*((0 - f) + 2). Let j = n - -19. Does 3 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a millimeter in nanometers?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n + 2*w - 106, -3*n - 2*w + 82 = -w. Let m(f) = f**2 - 2*f - 3. Let l be m(-1). Calculate the remainder when n is divided by 4 - (1 - l) - 5\/(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3904031 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 17341 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1811321 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + c + 4)*(-4 + 3*c + 4)*(3*c + c - 8*c) to u*c**2 + g*c**3 + b + v*c and give g.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 51\/118 and 33\/2?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -4710 divided by 2?\nAnswer: -2355","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 4*u**3 + 3500*u**2 + 664448*u - 45642752 = 0?\nAnswer: -464, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/5)\/((-1)\/5). Let f = 99 - 88. Suppose -h*g = -f - 59. Is g a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the second derivative of 1\/6*v**3 + 0 - 1\/2*v**2 - 5*v. Differentiate g(y) wrt y.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**(-12)*a)\/a**12)\/(a**(2\/3)*a**(1\/3)))**(-1\/13) assuming a is positive.\nAnswer: a**(24\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12*48\/3456*-366.\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 a when two letters picked without replacement from rraaarrrrrraaaararar?\nAnswer: 99\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25910*u - 25832*u + 1219 = 3949 for u.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -4*u**2 + 12*u - 15. Give y(9).\nAnswer: -231","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 54395051 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m - 39 = -11. Let v be (15\/(-12))\/(68\/(-16) - m). What is the highest common factor of 13 and v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the second derivative of 0*a**3 + 1\/5*a**5 + 0*a**2 - 2\/15*a**6 - 7*a - 2\/21*a**7 + 1\/3*a**4 + 0. Factor z(q).\nAnswer: -4*q**2*(q - 1)*(q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 10*f + 2. Let q(s) = -s + 5. Let h be q(-5). Suppose -h = -b + 4. Calculate the least common multiple of p(2) and b.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -32.4 + 26.6. Let w = 10.9 - 17. Let y = w - x. Put -0.1, y, 0.08 in descending order.\nAnswer: 0.08, -0.1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2543 - 4?\nAnswer: -2551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 1 - 34. Let t = 32 + k. Suppose -5*b - 3*w - t = -6, -b - 15 = 3*w. Solve -3*o = -b*o + 6 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 6 - -140514?\nAnswer: 14051a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 - 2. Let t be (-12)\/(6\/(-2)) + -1. Let q = 507\/4 - 126. Which is the biggest value? (a) r (b) t (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22075?\nAnswer: 5, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1879 divided by -1879\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1048?\nAnswer: 2, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.8? (a) -26 (b) -2 (c) 2\/129\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.4399998 + -0.44. What is o rounded to 6 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.572 - -1.6447. What is q rounded to 2 dps?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5*(0 + 1) - 102\/(-84)*-14\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -139 (base 15) to base 12.\nAnswer: -1b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 24 = -24. Suppose -2*l - 3 + 13 = 0. Suppose -4*h - l*k = -d, -13 = -5*h - k - k. Is h != 2\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -124, -500, -1134, -2026, -3176, -4584, -6250?\nAnswer: -8174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 352 = o + 8*u, -o - 92 = 367*u - 184*u - 185*u for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:27 AM and 3:18 PM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - c + 3*r - 21 = 0, -r = -4. Solve 3 = 2*n - c*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3810*j**2 - 1698*j - 3810*j**2 + 133*j**3 wrt j.\nAnswer: 798*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > 2\/13189?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 60706968 and 48.\nAnswer: 121413936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 11083747 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -3 (b) -66 (c) 0 (d) 12\/5 (e) -2 (f) 0.5 (g) -0.23\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the third derivative of i**5\/20 + 23*i**4\/4 + 484*i**3\/3 - 3*i**2 - 25*i. Find the first derivative of j(u) wrt u.\nAnswer: 6*u + 138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.269 + -0.131. Let g = -0.8 - x. Which is the nearest to -0.05? (a) 1\/3 (b) -0.5 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes after 3:38 AM?\nAnswer: 1:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2, 12, -104, -46, -6 in decreasing order.\nAnswer: 12, 2, 0, -6, -46, -104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*t**(1\/26)*t*t**(-11\/3)*t**(-2\/3)\/(t\/(t\/t**20)) assuming t is positive.\nAnswer: t**(-1739\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 - 75 = x, 3*x = -0*o + 2*o - x - 280 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 - -124?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -146 - -259. Suppose 4*m + p = 9. Let v = -92 + 67. Which is bigger: m or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s + 4*s + 4, 5*s + 20 = -u. Suppose k + 79 = -5*n, -4*k = -u*k + n + 221. Does 9 divide 1\/(-2)*(0 + k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 10, 1, 4, -2\/3, 2, -2690?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 189489711 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 102\/(-9) + (-17)\/(-153)*-6.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**4 - 696*z**3 + 692*z**2 + 696*z - 694.\nAnswer: 2*(z - 347)*(z - 1)**2*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.728 + -0.4\nAnswer: 0.328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**2\/6 + 7961*b\/3 - 63377521\/6.\nAnswer: -(b - 7961)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1774150008 to the power of 1\/2, to the nearest integer?\nAnswer: 42121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 149 is divided by 14?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1938089?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 45*((6 - 1) + -4). Let t be 0\/((20\/(-30))\/(4\/6)). Suppose 3*m + f = 4*p - t*m, 0 = 2*m - 10. Calculate the highest common divisor of p and 45.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 187 and 25267.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 291011, 582086, 873161, 1164236?\n\"Answer: 291075*n - 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 - 3. Let s = -0.65 + 0.05. Let u = -2.4 + s. Sort u, a, 0.5 in descending order.\nAnswer: 0.5, u, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, o: 4, x: 5}. What is prob of sequence oxa?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/2 and -27\/7?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 506028?\nAnswer: 2, 3, 42169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d\/(d*d\/(d*(d*d**9)\/d))))\/d*(d\/(d*d\/(d\/d**(-2\/9))))\/d*d**(7\/5)*(d**(-10\/3)*d)\/d assuming d is positive.\nAnswer: d**(-527\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -4*r - 7. Suppose 4*q = q + 9. Factor -r*x**3 - 17 - 385*x**2 - 44*x - q + 357*x**2.\nAnswer: -4*(x + 1)**2*(x + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0 (b) -48 (c) -417\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 55*((-5)\/(45\/6))\/(-4*66\/648)\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (10 - 9) + 25 + -39 + -39?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 + -4*6\/(-8). Solve t = -t + 3*g + 11, i*g = 5*t - 11 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 46314 - 46308.1494. What is w rounded to zero decimal places?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -18*q**2 - 3*q + 3. Let o(n) = -48 - 23758*n + 8 - 23822*n + 47620*n + 235*n**2. What is -40*f(a) - 3*o(a)?\nAnswer: 15*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 58 - 97. Which is the closest to 0? (a) t (b) 4 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 c, 1 l, and 1 m when four letters picked without replacement from {l: 8, c: 1, m: 1, x: 2, i: 4}?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 12\/8 + 9\/(-6). Suppose l = -a - 2*a + 6. Suppose 0 = n - a - 2. Is 3 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(242)*3 - (-1*(1*sqrt(242) + sqrt(242)) - sqrt(242)))**2 - (-1 + 3*(-4 + sqrt(242))**2 + -3).\nAnswer: 396*sqrt(2) + 7943","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 356.525 + -356.5052251. Let f = 0.6242 - 0.644. Let d = m + f. What is d rounded to six dps?\nAnswer: -0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 9) to base 6.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 35 - -56\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m - 19 = -3*y, -4*y + 31 = 2*m + 48 - 41 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**3 - 6*o**2. Let j be b(6). Let v be ((-33)\/(-9) + -4)\/((-2)\/18). Solve j = -c + v*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1103, -2741, -4379?\nAnswer: -6017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 + 5. Suppose 2*c - 48 = 2*y, -3*c + 4*y = s*y - 62. Calculate the greatest common divisor of c and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -a5 - -62?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f - 5*j + 35 = 0, -929*j = -4*f - 930*j - 13 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:26 PM and 1:46 AM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 90 = -4*p, 129 = -0*p - 5*p - 2*u. Let b = -10 - p. Let l be (-8)\/(-12)*b\/(-2). Does -4 = l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n and 1 c when four letters picked without replacement from {c: 2, n: 4}?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 97790.81cm?\nAnswer: 977908100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2036316 - 1301?\nAnswer: -2040620","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2063759290?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 228\/2225 + -69349\/151300. Calculate the common denominator of -123\/680 and p.\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 4) in base 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (9 - 8)\/(3\/594). Suppose -5*i + p = -157. Suppose a + 4*a - 95 = 0. What is the remainder when i is divided by a?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8177489?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from {p: 3, a: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 23591953?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -6*q - 15. Suppose -4*p = -p + 9. Let j be (-6)\/(-1*(2 + p)). List the prime factors of a(j).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3649975 is divided by 31.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*r**2\/2 + 92367*r\/2 + 92373 = 0. What is r?\nAnswer: -2, 30791","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 34*q + 7. Calculate the remainder when 243 is divided by t(1).\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -75*f + 2. Let p be w(-1). Let i = p + -35. Find the common denominator of 53\/6 and i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/((-5)\/(-12)) - -9*(-185)\/(-333)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 86 divide 2648538?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -714180 divided by 6?\nAnswer: -119030","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**3 - 9*p**2 + 9*p - 10. Let z be i(-10). Let g = -105 + 26. Let a = -78.7 - g. What is the third biggest value in 5, a, -0.5, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2425 to the power of 1\/2, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 20*v**2 + 36*v + 1. Let c(h) = 19*h**2 + 36*h. Let r be -2*-3*6\/18. Let n(d) = r*j(d) - 3*c(d). What is the second derivative of n(q) wrt q?\nAnswer: -34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 = -5*d + 3*p, p - 8 = 2*d - 30. Suppose 6 = 3*r - d. Let i(q) = q**2 - 7*q + 6. Let z be i(r). Solve z*b = b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 0)*(15*l - 4*l - 4*l).\nAnswer: -7*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 8*b**3 - 2*b + 2. Let m(i) = -7*i**3 + 2*i - 2. Determine 7*m(l) + 6*n(l).\nAnswer: -l**3 + 2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from {h: 2, b: 16}.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.914456 rounded to 1 decimal place?\nAnswer: 1.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 29\/2*p**4 - 3\/2*p**5 + 30*p - 57\/2*p**3 - 1\/2*p**2 - 14 = 0.\nAnswer: -1, 2\/3, 1, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*s + 21*s - 22. Let l be s\/(-5) - (-1)\/(35\/(-661)). Which is smaller: -18 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the third derivative of -3*d**2 + 0*d - 1\/25*d**5 + 1\/3*d**3 - 1\/15*d**4 + 1\/525*d**7 + 1\/75*d**6 + 0. Factor o(p).\nAnswer: 2*(p - 1)**2*(p + 1)*(p + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f + 5*f - 72. Let a = 31 + -11. Let l = f - a. Put l, 1, 4 in decreasing order.\nAnswer: 4, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 24*s**2 + 1080*s + 3. Let b be d(-45). Which is smaller: b or -231?\nAnswer: -231","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 28*l**3\/5 + 233880*l**2 + 12209955984*l\/5 + 3488463392\/5.\nAnswer: 4*(l + 20882)**2*(7*l + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*j + 16*j - 6. Suppose j*n - 18 = 5*n - 4*b, -38 = -n + b. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 5 = 15. Let r = 6 - 13. Let l = -9 - r. Sort l, -4, s.\nAnswer: s, -4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/220*1)\/((-45)\/720)\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**2 - 21*w + 21. Suppose 4*n + 94 = 2*a, 4*n + 132 = -a + 47. Give r(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -45*p**3 + 2830*p**2 + 365*p - 3150.\nAnswer: -5*(p - 63)*(p - 1)*(9*p + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1241 is divided by 17.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -914, -915, -926, -953, -1002, -1079, -1190, -1341?\nAnswer: -1538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.5 and 15971.\nAnswer: 15971.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*m**2 - 21*m**2 + 1595*m - 1592*m in the form o*m**2 + a + k*m and give o.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 7575.895 millennia in centuries?\nAnswer: 75758.95","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 4, 143, 8, 7, -3 in ascending order.\nAnswer: -3, -2, 4, 7, 8, 143","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 71*j + 1347. Give i(-14).\nAnswer: 353","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - (1 - 4)) + 114\/19.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 196\/(-44)*(-17864)\/4872?\nAnswer: 49\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 152\/(-7) - 4\/14. Let i be (-40)\/j - (-4)\/22. Factor -5*s**2 + 0*s**2 + s**i.\nAnswer: -4*s**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 101 = 6*v + 95 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes after 2:08 AM?\nAnswer: 9:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 + 2. Let r = i - 1.1. Let u = 167\/42 - 23\/6. Which is the nearest to r? (a) -1 (b) 2 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -17934031 and -2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90268 = 4204*f - 338304 for f.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**3 - 5*m**2 - 5*m - 1. Let w be (-42)\/(-8) - (-9)\/12. Let z be p(w). Solve -z*l - 3 = -6*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2067 - 2067.4. Which is the nearest to -1\/3? (a) 5\/67 (b) p (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 134031430 + 1?\nAnswer: 134031431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -37649 equal to 49?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 72102.1 (b) 1\/10 (c) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39 + 26 - (2 + -4).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*v + 6 = -21. Suppose -5*q = -v*r - 32, 3*r + 40 = 5*q - 2*r. Solve -2*h - q = 4 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -9374*d**2 - 11. Let s(v) = 445266*v**2 + 522. Determine -522*h(r) - 11*s(r).\nAnswer: -4698*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37324*w**2 + 143*w**3 + 65*w**3 - 37324*w**2.\nAnswer: 208*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that r**4 + 20*r**3 - 3*r**2 - 62*r - 40 = 0.\nAnswer: -20, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7164847604?\nAnswer: 2, 157, 11408993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (37*a - 76*a + 33*a)*(-1 + 3 - 3 - 4 + 0 + 3 - 3 + 0 + 2 + (1 - 2 + 0)*(0 + 3 - 1) + 1 + 0 + 0).\nAnswer: 24*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 7}. Give prob of picking 2 i.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 9*u - 4*u = -16, 6 = 3*g - 3*u. Let n be g\/(-6) + (-75)\/(-90). Put -5, 2, 3, n in decreasing order.\nAnswer: 3, 2, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 299 is divided by 91.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/2, 3, -2.8, 0.3, 5\/4, -0.2, -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*n + 5096 - 1586 = 0. Calculate the highest common divisor of 230 and n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 181 is divided by 178.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + (5 - 1 - 6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, i: 3, v: 2, k: 2, g: 2, n: 1}. What is prob of picking 1 i, 1 n, and 2 v?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -1374*y + 630. Let o(u) = -458*u + 212. Let n(w) = 3*j(w) - 8*o(w). What is the derivative of n(f) wrt f?\nAnswer: -458","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes after 5:44 AM?\nAnswer: 8:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2350894431 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 104261?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 2591 divide 446434482?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, u: 18}. Give prob of picking 3 u.\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 166 is divided by 75.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 120 and 13360?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -z + 4*x - 4, -5*z + 5*x - 35 = 0. Let p be z\/3*(-5)\/(-20). What is the second biggest value in -3, -1, p?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 80550 and 180?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -21, 4\/3, -26?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 16868416741 take away 0?\nAnswer: 16868416741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 46178*l + 87. Is u(7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -364, 6, 36, -3, -1, -5, 3 in ascending order.\nAnswer: -364, -5, -3, -1, 3, 6, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -28 - -29. Let w(a) = 27*a**2. Let n be w(b). Suppose -x + n = -24. List the prime factors of x.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7725?\nAnswer: 3, 5, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pqppqcq. Give prob of picking 1 c, 1 q, and 1 p.\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in 2, 3, -128?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 - 8\/(-2)*12\/(-16). Let i(m) = m**3 + 5*m**2 + 2*m. Calculate i(z).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 98 - 100. Is m at most as big as -44\/65?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 84252 and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -461*g - 72432 = -752*g + 1652*g + 1657*g for g.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.1 (b) -2\/21 (c) -2\/5 (d) -1 (e) 3 (f) -0.27 (g) -3\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**3 - 5*j**2 + j - 3. Let h be q(5). Let z be -2 + 2 - h\/5. Let l = -9\/38 - -113\/76. What is the second smallest value in z, l, -1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 12 = 4*j. Let n be -2 + (-5)\/(-15)*15. Suppose -12 = -n*m, m + 0*m - 52 = -2*s. What is the greatest common divisor of j and s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 206226400 - 0?\nAnswer: 206226400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**2 - 92*i + 497. Give n(6).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 395 or 2375\/6?\nAnswer: 395","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2 and -2129043623.\nAnswer: -2129043625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(3*(-4 + (-5*sqrt(19) - sqrt(19))) - 5*(sqrt(684)*3 + sqrt(684)))**2.\nAnswer: -1809900 - 16560*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 + 11. Let m = -0.44 + 0.14. Which is the nearest to -1? (a) -1 (b) d (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24868257?\nAnswer: 3, 8289419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6138, 6138, 6130, 6108, 6066, 5998, 5898?\nAnswer: 5760","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/55*5*28\/(-490)?\nAnswer: 2\/77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = j - 3*u, 833*u = -11*j + 835*u - 34 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + 134 - 135 = -5*h, -3*s = 3*h + 9 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/20)\/((-6)\/30).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = 1645 - 7809. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/238545 and 14\/93195.\nAnswer: 26001405","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3950\/(-3500))\/(12\/(-840)).\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -110.3 - -110. Which is the second smallest value? (a) 34 (b) 0.1 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1775253806 less than 56?\nAnswer: -1775253750","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 417345 and 139115?\nAnswer: 417345","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1649 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/1626 and -41\/34.\nAnswer: 27642","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7654 - 7600. Solve -4*a - 39 = 5*u, 3*a = -58*u + g*u - 30 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -4*q**3 + 91*q + 13. Let w(i) = 2*i**3 - 45*i - 7. Calculate -6*r(b) - 11*w(b).\nAnswer: 2*b**3 - 51*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -1 + sqrt(832) + -2 + 2 + ((sqrt(13) + -3 + 1*sqrt(13))**2 - (2*sqrt(52))**2) + (sqrt(39)\/((sqrt(27) + sqrt(3) - sqrt(3))*-5))**2.\nAnswer: -33287\/225 - 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (19 + (1 - 19) - -34) + -8.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -18*g**2 + 2034*g - 139. Calculate the remainder when x(111) is divided by 27.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 22, 1, 105, 3 in ascending order.\nAnswer: -3, 1, 3, 22, 105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + (11 - (-1 - 2)))*(-5)\/(-5).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 15) to base 7.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1786.06 + -1851. Let c = t - 0.06. Let p = c - -65.000000336. Round p to seven decimal places.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1 - 9) + 2 - 1) + 2 + 11\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 3*a + 303 = 0, -a - 288 = -5*h + 197. Is 24 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -405 = -0*r + 3*r. Calculate the lowest common multiple of 9 and (2\/(-6))\/(5\/r).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5.1 - -5. Let u = -1 - q. Let y = 0.4 + u. Which is the nearest to 0? (a) -1 (b) y (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the first derivative of 0*w - 1\/3*w**3 + 2*w**2 - 2. Find the second derivative of i(k) wrt k.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j - 4 + 5 + 0)*(3*j + 0*j + 7027 - 7004).\nAnswer: 3*j**2 + 26*j + 23","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -169992*d + 16. Let p be m(-2). What is p rounded to the nearest 100000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 5*u + 19 = -0*u, 4*x = 3*u + 25. Suppose m = v - 6 + x, -3*v + m - 7 = 0. Put -11, v, 2\/7, -0.4 in ascending order.\nAnswer: -11, v, -0.4, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4*p + p**2 + 4*p)*(82*p - 23*p**2 - 82*p) + 46*p**4 - 18*p**2 + 18*p**2)*(p + 3 - 3).\nAnswer: 23*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -505\/6 - -84. Let t = -0.2 - 0.8. Let g = 91 - 453\/5. Which is the nearest to g? (a) 0 (b) t (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7835831?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m. Let k(q) = q**2 - q. Let j(b) = -4*b**2 + 5*b - 1. Let c(r) = -2*j(r) - 10*k(r). Calculate -c(o) + 2*w(o).\nAnswer: 2*o**2 - 2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 10, n: 7, t: 1}. Give prob of picking 3 m and 1 n.\nAnswer: 14\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -3*f**2 + 4*f**3 - 3*f**3 + f**2. Let r = 2 + -4. Let a(x) = 5*x**3 - 9*x**2. Calculate r*a(k) + 9*b(k).\nAnswer: -k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-2) - ((-44)\/8 + 4).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 + 0)*(25*n**2 - 58*n**2 - 93*n**2).\nAnswer: -378*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (-8 - (-12 + 9))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12220230 (base 4) to base 3.\nAnswer: -1101021200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -5, 0.3, -6 in increasing order.\nAnswer: -6, -5, 0.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3622629156.\nAnswer: 2, 3, 409, 738107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 713222079.\nAnswer: 3, 1787, 133039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 1 + 0)*(2 - 2*t - 2) + 3*t - t - 4*t)*(-10 - 4 + 11)*(t - 6*t + 2*t)*(-t**2 + 2*t**2 - 2*t**2)*(6 - 2 - 2).\nAnswer: 72*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.6280824 take away 0.137?\nAnswer: 11.4910824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 x when two letters picked without replacement from {m: 7, p: 3, x: 2}.\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 2*g + 3 = -4, 5*i - 45 = 5*g. Let t = i - -44. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.554 and -0.5?\nAnswer: 0.277","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8 + 4*w - 8 + (2 + 2 - 5)*(4*w - 3*w - 2*w) + 0*w - w + 2*w - 2 + w + 2 + 2*w - 3 + 3.\nAnswer: 9*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16 - -15.6. Put y, -5, 1 in increasing order.\nAnswer: -5, y, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 0*d - 2 = 0. What is the common denominator of 174\/(-2)*(-11)\/88 and d - 3\/(60\/(-26))?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16511?\nAnswer: 11, 19, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 - 2) + 8 + -8. Let u be (v + -2)*(-2)\/45. Suppose 3*d = -0*d - 3. Is d bigger than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 68*n - 21*n + 329 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -726*h**3 - 2572*h**3 + 3300*h**3.\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -99*y - 84 = 98*y - 185*y for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 26680, 26668, 26644, 26602, 26536, 26440, 26308?\n\"Answer: -j**3 - 5*j + 26686","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(32\/24)*2\/(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**(-6)\/(y\/y**(-13)))\/((y**(1\/13)\/y)\/y*y*y**1))**7)**(50\/3) assuming y is positive.\nAnswer: y**(-30450\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 264 and 1774592.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 176*j**2 - 6*j - 14. Let r(s) = s + 2. Determine -14*r(m) - 2*y(m).\nAnswer: -352*m**2 - 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 55 and 21835?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1163 is divided by 39?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 2*l + 10 = -4*q, -5*l + 2*q = -14. Suppose -114 = -3*g - 3*j, -104 = -l*g + 2*j + 3*j. What is the lowest common multiple of 21 and g?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85755873947 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -210635 or -210636?\nAnswer: -210636","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1936829887.\nAnswer: 1951, 992737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2 + (-21)\/(-12)*4. Solve n + 0 = v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z. Let f(c) = 41 - 23 + 3*c - 18. What is b(f(q))?\nAnswer: 3*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000364 to four dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 81610.11km to micrometers.\nAnswer: 81610110000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 383196 a multiple of 126?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 19.33512nm in meters?\nAnswer: 0.00000001933512","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-24)*-2*6\/14.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**3 - 17*l**2 - 10*l + 155. What is c(17)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94135 is divided by 164?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 29173?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is b7c0 + -1164?\nAnswer: a65c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3125?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i - 5*c + 37 = 0, 3*c - 5 - 4 = 2*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 2655*y. Let q(x) = 2467*x**2 + 2*x - 4. Give o(q(j)).\nAnswer: 6549885*j**2 + 5310*j - 10620","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + (14 - (10 + (-2 - (6 + (-8 - -3))))).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -30*z - 510. Let x be h(-17). Sort -7, x, -163 in descending order.\nAnswer: x, -7, -163","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, k: 4, o: 3, a: 1, g: 2}. Give prob of sequence kg.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -3*n - 356. Give j(-117).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*i**6 - 36*i**4 + i**3 + 334*i**2 + i + 25?\nAnswer: -600*i**3 - 864*i + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 36*w. Let s(o) = -6241*o - 4. What is s(z(h))?\nAnswer: -224676*h - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 167*j**3 - 2*j**2 - 42314*j + 58197990 wrt j?\nAnswer: 501*j**2 - 4*j - 42314","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**23*f*((f\/((f\/(f\/f**(-2\/47)))\/f*f))\/f)\/f*f)\/(((f\/f**10*f)\/f)\/f*f*f)**(2\/45) assuming f is positive.\nAnswer: f**(-43573\/2115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2)\/4)\/(18\/180). Let b be (-48)\/j*78125\/(-10). Let d be (-2 - -282)*b\/3. Round d to the nearest one million.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 + 10. Suppose 3*t = -s + 30, -y*s = -3*t + 18 - 3. What are the prime factors of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1869 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 59929679 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**0\/j**(2\/9))**(-5\/7)*(j**7\/j**4)\/(j**(-1))**(1\/3) assuming j is positive.\nAnswer: j**(220\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (30 - 24 - 24) + 1 + 9?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*6\/12*1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 1650?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t, 1 a, and 1 p when four letters picked without replacement from {k: 1, t: 9, a: 5, p: 5}?\nAnswer: 60\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 207015?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9 and 92418444?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*y - 627 = -8*y. Calculate the remainder when y is divided by 13.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1901836.\nAnswer: 2, 149, 3191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -4*x + 38, -2*x + 3*r = -11 - 15. Let o(g) = 8 - x + 0 + g**2. Calculate o(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a centimeter in micrometers?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = 9*n - 4*n. Is 12 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -53526 rounded to the nearest one hundred?\nAnswer: -53500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 5*s + 2. Let t(h) = 51*h + 21. Let v = -36 - -57. Determine v*p(x) - 2*t(x).\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3330 - -3?\nAnswer: 3333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -12757.3 take away 1694225?\nAnswer: -1706982.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 5 + (-1*sqrt(168))\/sqrt(6))**2.\nAnswer: -20*sqrt(7) + 53","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = 14*r + 11*r. Suppose -15 = -r*u + d, 3*d = 3*u + 2*u - 39. Put -4, -2, u, 13 in decreasing order.\nAnswer: 13, u, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**3 - 2*p**2 + 3*p - 87. Determine c(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + 302 - 598 = 3*r - 256, 4*c - 88 = 6*r for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.1 and -1239.\nAnswer: 1362.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 276, 551, 826, 1101, 1376, 1651?\nAnswer: 1926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 42031 and 554320112.\nAnswer: 3821","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 2*d + 46 = 0, -7 = 2*b - 5*d - 25. Suppose 5*c = b*c - 1017. What are the prime factors of c?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z + 4*z - z)*(-2 + 7 - 3) - 3 + 3 - 5*z + (z + 3*z - 3*z)*(3 - 1 + 0) + 1 + 4*z - 1.\nAnswer: 5*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the third derivative of j**7\/70 + 19*j**6\/40 + 149*j**5\/30 + 99*j**2 - 2*j. What is the third derivative of s(l) wrt l?\nAnswer: 72*l + 342","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*d + 2*d**2 + 3*d**2 - 4*d**2 - 2*d**2.\nAnswer: -d**2 - 8*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 93050?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 3*a - 358, -y - 3*y + 488 = 4*a. Let l = a + -105. Solve 0 - l = -5*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**3 + 20*r**2 + 48*r - 29. Let v be h(-17). Suppose 0 = v*k - 2648 - 4128. List the prime factors of k.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2413\/3 + -4823\/6. Let g = 67 + -265\/4. Let -v - g*c**4 + 3\/4*c + 17\/4*c**2 - c**5 + 13\/4*c**3 = 0. What is c?\nAnswer: -1, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 75\/8552 (b) -0.4 (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 + -46. Let r = k - -34.3. Let a = r - -7.69999949. What is a rounded to seven decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the first derivative of 3*i**4\/4 + 4*i - 5. Differentiate q(w) wrt w.\nAnswer: 9*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 less than or equal to 16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 3*i - 3063 + 1056 = 0, 5*a + i + 2009 = 0. Let r = a + 601. Does 20 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes before 2:58 PM?\nAnswer: 7:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g - 3*g + 0*g)*(-g**4 + 5*g**4 - 2*g**4) + (g**2 + 2*g**3 - g**2)*(2*g**2 + 1 - 1) + (g**2 - g**2 - 3*g**2)*(3*g**3 - g**3 - 3*g**3).\nAnswer: 3*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6)\/4*24\/(-9). Let n be 2\/5 + z\/(-10). Let j = -0.07 + 2.07. What is the nearest to n in 0, 5, j?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.286301 kilograms to micrograms.\nAnswer: 1286301000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 91 a factor of 2820?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -6 + (-160)\/(-18) - 3. What is the third smallest value in 0.2, -0.2, q?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 3, -4, -1, -2319 in decreasing order.\nAnswer: 12, 3, -1, -4, -2319","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1856 = 3*t + 5*x + 683, -3*t = 2*x + 2533. Let m be t\/3 - -1*(-2 + -2). Let a = 401 + m. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 - 2)*(-39 - 60*f + 124 - 40 - 16).\nAnswer: -60*f + 29","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -113*z - 43 = -108*z + 17 for z.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24, -67, -118, -183, -268, -379, -522, -703?\nAnswer: -928","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, -2131, 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 829764738?\nAnswer: 2, 3, 11, 37, 191, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkxe when four letters picked without replacement from {e: 2, x: 3, k: 12}.\nAnswer: 33\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.2+-5193\nAnswer: -5193.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express o**3 + 3*o**2 - 6*o**3 - 10*o**3 as z*o + q*o**2 + r + i*o**3 and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add -98.2 and 372626429.\nAnswer: 372626330.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 18\/5 - 21\/35. Solve 6*u - g*u = -9 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -483 + 484. What is the closest to 0.1 in 2\/3, i, 4, -6?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 3*y - 12*y - 23 + 2*y**2 - 6*y. Let q be c(9). Suppose 16*m - 403 - 797 = 0. What is the biggest value in m, -5, q?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 39 - 24. Is s a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 11) to base 14.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2422882 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 19*k**3*t**2 - 4*k**3*t + 1832*k**2*t - 15*k*t**2 wrt t.\nAnswer: 38*k**3 - 30*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - (-4 - -1)) + (27 - 258 - -87).\nAnswer: -142","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 20556550 to the nearest integer?\nAnswer: 4534","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -3 * -1748\nAnswer: 5244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjg when three letters picked without replacement from {g: 2, j: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 623 divided by 1082.\nAnswer: 623\/1082","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2767, -3\/7, 0.5, -2\/9, 2, 5, 10\/7?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the first derivative of h**2\/2 + 3*h - 911. What is d(6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -a + t, -2 = -3*a - 2*t + 2. Suppose a*b - 71 = 5*f - 20, -87 = -3*b - 3*f. What is the remainder when 109 is divided by b?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 237394179?\nAnswer: 3, 11, 799307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-26*o**4 - 4*o**4 + 3*o**4)*(-4 + 230 + 31).\nAnswer: -6939*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 5*k = -13, k = 5*w + 5*k + 26. Let j be ((-15)\/w)\/(4\/(-8)). Let l(z) = z**3 + 4*z**2 - 6*z. Let d be l(j). Solve c - d = 2*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -10 - (7 + 11 + -12).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 49 and 98.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most as big as -16\/180421?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/3, 1, -5, -147, 0.6 in descending order.\nAnswer: 1, 0.6, -4\/3, -5, -147","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(52) + 3 + sqrt(13))*-3 + ((sqrt(13) - (sqrt(13) + 1)) + 0 - (sqrt(13)*1 + -5)).\nAnswer: -10*sqrt(13) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20)\/(-8) - (-6)\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 128 and 231344704?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v and 1 s when four letters picked without replacement from {s: 1, w: 9, v: 4}?\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/11 in 0, 3\/2, 19?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1432781 and 296995033.\nAnswer: 2078965231","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (58\/455793*39)\/((-7)\/(-91)).\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -42400, -84743, -127066, -169363, -211628?\n\"Answer: b**3 + 4*b**2 - 42362*b - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -3*k + 1. Suppose -10 = -0*z - z. Let i(t) = -38*t + 26. Let q(b) = 13*b - 9. Let c(v) = 6*i(v) + 17*q(v). Let m(u) = z*w(u) - 4*c(u). Give m(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**2 + 2*m + 3. What is the least common multiple of g(-3) and (-21 + 18)\/((-3)\/2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 194644163*o**6 - o**3 + 3712*o**2 + 30*o + 7 wrt o?\nAnswer: 23357299560*o**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -454 - -502. Suppose 46*i - t*i + 284 = 0. What is the tens digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 2*p + 0 + (-p - 3*p + 2*p)*(2 + 1 + 0) in the form w*p + h and give w.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 29631629 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -4*q**2 - 18*q - 226. Let z be p(-13). Let f = -673 - z. Sort -3, 1, f, 0 in ascending order.\nAnswer: f, -3, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1005*k*t**2 + 7*k*t - 13307593*k - 4*t**2 - 4*t wrt t?\nAnswer: 2010*k*t + 7*k - 8*t - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -618 - -4?\nAnswer: -614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 163503\/5 + -32700. What is the smallest value in -66, t, 0.2, -2?\nAnswer: -66","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:07 PM and 1:18 AM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12759 - 12759. Solve -22 = -5*r + 3*b - 13, 4*r + 4*b - 20 = x for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 127\/12 and -31\/1851.\nAnswer: 7404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - (-2 - -1)) + 4 + -8?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-1 + 1*(sqrt(2) + 0)).\nAnswer: -3 + 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + 5 - (-1 + -1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 69, 144, 219, 294?\nAnswer: 369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 2\/3*(-9)\/2\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, h: 1, d: 1, l: 1}. Give prob of sequence lh.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 3*q + 45 = -5*v, -3*q = 3*v + 54. Let a be ((-2)\/(-4))\/(q\/(-240)). What is the highest common divisor of a and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.3*-0.18.\nAnswer: 0.594","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-7)\/2*(-60)\/35. Suppose 4*p = q + 134. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.1 (b) 0.4 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 137138244.\nAnswer: 2, 3, 83, 157, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72*g + 11*g**2 + 9*g**2 + 64*g.\nAnswer: 20*g**2 - 8*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 236 + -234. Let k(a) = a**3 - 7*a**2 + 8. Let l be k(7). Let n = -5 + l. Is n smaller than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1385 (base 15) to base 4\nAnswer: 1001033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffffrqqqqf. Give prob of picking 4 q.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 61144?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8491352 is divided by 4245672?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-90)\/(-4))\/(30\/(-24) + 1). Let m be (1 - 0)*10\/p. Let s be (1\/(-3))\/(2\/(-3)). Sort s, 0.1, m in ascending order.\nAnswer: m, 0.1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 8921, 17843, 26765, 35687, 44609, 53531?\n\"Answer: 8922*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**3 - 5*l**2 - l - 3. Let n be a(-5). What is the third derivative of -6*o**2 + 2*o**4 + o**2 + o**n wrt o?\nAnswer: 48*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 9877 - 8?\nAnswer: 986e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -6*k - 58. Let h = k + 26. Sort -4, h, -5 in ascending order.\nAnswer: -5, -4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (-24 - -13) - -4.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 95 divide 21446093?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3208387885 to the nearest integer?\nAnswer: 1475","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3 - 2)*3555682\/(-42). Let w = -84239 - k. Let h = w + -420. What is the smallest value in h, 0.2, 2\/11?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 - -4. Solve -5 - 3 = z*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -37 - -41. Let d(g) = -2 + 3*g + g - 2. What is d(a)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 179452*m - 2153419. Give c(12).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:50 PM and 8:47 AM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or -2\/581?\nAnswer: -2\/581","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*z**3 + 2*z - 199*z**3 + 36*z**3 + 52*z**3 + 37*z**3 + 27*z**3.\nAnswer: -9*z**3 + 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 3*k - 147 = 0, 2*r = 4*r - k - 294. What is the common denominator of 0 + (-3 - (-195)\/(-6)) and -3 - r\/(-6) - 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 187852959*a*p*z + 2*p*z + 114027591 with respect to a.\nAnswer: 187852959*p*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 11 + 1. Let i = -3 + w. Factor -4*h**2 - 3*h**i + 11*h**2 + 5*h**2 + 6 - 15*h.\nAnswer: -3*(h - 2)*(h - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 248866809?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes before 4:24 PM?\nAnswer: 10:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 16*j. Let c(b) = -10*b**2. What is k(c(q))?\nAnswer: -160*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 + 23610?\nAnswer: 23610","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12.6 - -12.9. Which is the third biggest value? (a) 2 (b) -0.9 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 7*l**3 - 2*l + 1. Let d be n(1). Let a be 7 + (d\/3 - 4). Suppose -a*y + 8 = -y, 3*p = 5*y + 209990. Round p to the nearest 100000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/(-9) + 28\/6. Suppose 2*b = 2*f + 12, -b + 28 = p*f + 7. What are the prime factors of b - 0 - (-6)\/3?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (135\/2)\/5*120\/135.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13056460 + 13056458 + 73*b**2 - 20*b**2.\nAnswer: 53*b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 14.69406 milligrams?\nAnswer: 0.00000001469406","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 23688 and 11515?\nAnswer: 329","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -779*o**3 - 2*o**2 + 10. Let h(j) = 2337*j**3 + 7*j**2 - 35. Give -2*h(z) - 7*p(z).\nAnswer: 779*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 65740*b - 213463.\nAnswer: 65740","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -41 - 129840\/(-3240) - -1.\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -422*o + 8561. Let k be f(20). Solve -225 = -96*q + k*q for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18269 greater than 36539\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 4*o**3 - 79*o**2 + 36*o + 547. List the prime factors of r(31).\nAnswer: 2, 103, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1822147 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 246\/8 + 2\/8. Let k = y + -8. What are the prime factors of k?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 254 is divided by 76?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 times -10?\nAnswer: -4670","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(25)\/sqrt(180)*-6*-4.\nAnswer: 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 - 5. Let m(l) = -3*l**2 + l - 4. Suppose 5*n - 7*n + 14 = 4*k, -2*k = -n - 13. Let j(u) = 7*u**2 - 2*u + 9. Determine k*m(x) + v*j(x).\nAnswer: -x**2 + x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d + 7 + 3. Solve 2 = -d*u + 7 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -2*i**2 + 16. Let c be d(3). Is (-36588)\/(-24)*(c - -4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 282*c + 85 = 60*c + 2029 + 5604 for c.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -1\/8, -45 in decreasing order.\nAnswer: -1\/8, -0.2, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tf when two letters picked without replacement from frbtkte?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes before 5:39 PM?\nAnswer: 1:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a micrometer in nanometers?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 8 + (-3 + 0 - 0)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-1)\/(15\/(-10)))\/(7\/(-63)). Let c(p) = -6*p**2 - p - p + 3*p**3 - 2*p**3 - 7 + 12*p**2. Calculate c(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**2 - 6*t - 4. Let s(y) = -y**2 - 6*y - 4. Let v(g) = 5*n(g) - 4*s(g). Suppose 2*c + 29 = 5*z, -c - 5*z = 2*c + 31. Let r = 7 + c. Determine v(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*j**4 - 4*j**3*y - 221*j*y**2 - 3*y**2 + y - 20 wrt j?\nAnswer: 8*j**3 - 12*j**2*y - 221*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3665, -7332, -10999, -14666?\nAnswer: -18333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28059 divided by -115.\nAnswer: -28059\/115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(5\/7)\/y**(-14))**(15\/4) assuming y is positive.\nAnswer: y**(1545\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**15\/t*t*t)\/(((t*(t\/(t\/(t\/((t\/t**19)\/t))))\/t*t)\/t)\/t) assuming t is positive.\nAnswer: t**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -3*b. Suppose -2*m - 3*h - 9 = b, 0*m - 2*h - 4 = 2*m. Is (-8)\/m*(-300)\/16 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -1*(1 + sqrt(1216)))**2.\nAnswer: 96*sqrt(19) + 1252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 65161 and 51?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4\/1759 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87*t = -4525 + 913 - 9438. Suppose -4*o - 2*j = -22, 0*j + 2*j = 10. 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 is the value of ((-108)\/(-30))\/(-3)*(-35)\/(-28)*-4?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14 - -22. Suppose 0 = -i*l + 11 + 21. Let c(g) = -2*g + 9. Give c(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13190 is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 16 = 2*c, 4*c - 17 = 2*h + 7. Suppose 0 = 2*o, 5*f + c*o + 12 - 32 = 0. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -144 (base 14) in base 6?\nAnswer: -1104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/180*3*70*18\/315.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -39 and -1353?\nAnswer: 52767","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4.134 + 0.034. Let r = u - -8.1. Which is the nearest to r? (a) 2 (b) -0.3 (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -61.8 - -60. Let r = -1.2 + l. Let j(g) = -g**3 - 4*g**2 + 3*g - 6. Let k be j(-5). Which is the second smallest value? (a) k (b) -2 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(55)\/(sqrt(60)\/(sqrt(36)\/sqrt(3))) - ((sqrt(396)*-2 - sqrt(396)) + sqrt(275) + 2).\nAnswer: -2 + 14*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 10*h = -1368. Let o be (2 + 0)\/((-2)\/(-392)). Let b = h + o. Round b to the nearest one hundred.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-14)\/35)\/((-2)\/20). Suppose 0 = -5*v - 5*g + 5 - 0, -4 = -n*v + 3*g. Let i be (2 + (-10)\/4)*8. Put v, 4, i in decreasing order.\nAnswer: 4, v, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes after 9:54 AM?\nAnswer: 10:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 4*p**3 - 3*p + 6. Let w(v) = -9*v**3 + 6*v - 13. Let k = -154 - -153. Let n be (-9 - -5)*k - (-7 - 2). Give n*i(j) + 6*w(j).\nAnswer: -2*j**3 - 3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4090392895 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 151 is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.998 - 2. Let q = f + 3.002. Suppose 0 = -0*n - 5*n - 25. Which is the second biggest value? (a) n (b) q (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r - 64 = 3*s, 194*r - 426*r + 44 = -2*s - 234*r for s.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26905328 is divided by 33.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 2*d - 10 = 3*d, 0 = -4*c - 3*d + 46. Solve c*n = 3*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:02 PM and 6:51 AM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(77)*-1 + sqrt(77) + sqrt(77) + 2*sqrt(77)*2 + sqrt(77))\/(-4*sqrt(7)*-1 - sqrt(7) - (1*sqrt(84))\/sqrt(12))*3.\nAnswer: 27*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3536 by 28091.\nAnswer: 3536\/28091","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 0 + -7 + 8?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8798431 or 8798430?\nAnswer: 8798430","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 101023 and 1279213.\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1258935.\nAnswer: 3, 5, 17, 4937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*972\nAnswer: -97.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -6*c**2 + 14*c + 2. Let r(p) = 2*p**2 - 5*p - 1. Let w(i) = i**2 - 4*i - 4. Let f be w(6). Give f*r(s) + 3*t(s).\nAnswer: -2*s**2 + 2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the first derivative of 2*b**5\/15 + 5*b**4\/6 + 2*b**3 + 7*b**2\/3 + 4*b\/3 + 2. Factor v(u).\nAnswer: 2*(u + 1)**3*(u + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 125*q - 2904. Calculate o(23).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 2 s when four letters picked without replacement from ssksksks?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 + 2 + 22\/1. Suppose 3*h = 3*d - h - q, 2*d - 2*h - 20 = 0. Calculate the remainder when 41 is divided by d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the third derivative of -5*v**4\/8 + 43*v**3 + 162*v**2. Let i be j(17). Solve 21 = i*c + 4*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 4 = 2. Suppose -y*r = 2*r - 2*p - 70, p - 1 = 0. Determine w so that -36*w + 24*w**3 + 3*w**5 + 9*w + 0*w**5 + 0*w**3 + r*w**2 - 18*w**4 = 0.\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of a**5 - 1514*a**4 + 2*a**3 + 2489*a**2 wrt a.\nAnswer: 60*a**2 - 36336*a + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -98958, -99747, -100536?\nAnswer: -101325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0\/(-1 + 3 + -4). Let h(y) be the second derivative of 0 + c*y**3 + y**2 + 1\/20*y**5 + 2*y - 1\/3*y**4. Give h(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = 5 - 13. Let q(c) = -10*c + 7. Let d(t) = -1 + 3*t + 3 + 0 - 4. Let m(o) = j*q(o) + 7*d(o). Let z(s) = 4*s - 1. Calculate 2*m(i) - z(i).\nAnswer: -2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13109320*d*k**4 + d*k**2 + 22434*d*k + d + 3*k**2 - 521*k - 2 wrt k.\nAnswer: -157311840*d*k**2 + 2*d + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15432, -15430, -15428, -15426, -15424, -15422?\nAnswer: -15420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**2 + 1. Let q(k) = -4*k**3 - 2*k**2 - 2. Give q(c) + 2*v(c).\nAnswer: -4*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 65 = -0*u. Let p(t) = -10*t - 2. Let x be p(3). Let s = u - x. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 106 and 1\/3 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 165?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1166?\nAnswer: 2, 11, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p - p + 5. Let v(y) = -p - 1 - 1 + 3*y. Let s = -55 + 52. Let f(o) = -2*o + 2. Give s*v(a) - 5*f(a).\nAnswer: a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 55523*i + 55519*i - 6 + 5 - 2.\nAnswer: -4*i - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9.89 + -1.59. Let u = q + -4.3. Which is the smallest value? (a) -0.6 (b) 1\/3 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 131781 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 + 3 + (-3 + 1 + 1)*(3 - 2 + 1) + 2 + 1 - 5)*(y + y - 4*y) + 2*y + y - y + (2*y - 6*y + 0*y)*(-3 + 3 - 2).\nAnswer: 14*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 54\/10 + (-4)\/10. Suppose -5*d = 5*q + i, 4*q + 13 + 11 = d. Calculate the greatest common factor of d and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13965, 27980, 41995, 56010, 70025?\nAnswer: 84040","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:43 AM and 1:05 PM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((z*z\/(z\/(z\/z**(-2)*z)*z*z*z))\/(z**(2\/7)\/z))\/((z*z*z**(1\/4))\/z)**(-46))**(-1\/7))**(2\/15) assuming z is positive.\nAnswer: z**(-281\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(54)\/sqrt(3) - sqrt(18)) + (sqrt(40)\/sqrt(4))\/sqrt(5) + (2*sqrt(72) + -5 - sqrt(72)))**2.\nAnswer: -70*sqrt(2) + 123","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b**4 + 4*b**4 + 0*b**4)*(-7*b + 11*b + 0*b).\nAnswer: 8*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*w + 890362 - 890626 = 0 for w.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -1\/1616749?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -7450866 divided by -275958?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*c + 5*c + 2*c)*(6 + 0 + 8)*(-7 + 3 - 2)*(2 + 1 - 2)*(-3 + 6 - 1).\nAnswer: -504*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6 or -197588?\nAnswer: -197588","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, v: 1, t: 2}. What is prob of picking 1 v and 1 t?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.834108*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -211 plus -2.651?\nAnswer: -213.651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 4*s - 5. Let d(m) = 4*m - 6. Let p(o) = 2*o**2 + 100*o - 793. Let y be p(-57). Calculate y*d(h) - 6*z(h).\nAnswer: -4*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 6183 to the nearest one thousand.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2631 - -2635.964. Let n = 0.036 + t. Which is the third smallest value? (a) n (b) -2\/13 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 4*p**2. Let r(n) = 49*n - 7. Let t(o) = 16*o - 2. Let d(y) = 2*r(y) - 7*t(y). What is x(d(l))?\nAnswer: 784*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -6*p + 41. Suppose p = d - 14. Suppose a - 14 = d. Is a a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -274*a - 1419*a + 1556 - 6635 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 10869994?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-4)\/(-1) - (-9 - 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -3*c + 75769, 105320 = 3*c + 3*k + 29591. Calculate the greatest common divisor of c and 96.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 7*s**2 + 79379. Let c(h) = 4*h**2. Determine t(c(b)).\nAnswer: 112*b**4 + 79379","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 11457720017 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - y = -5*h + 280, h + y = 56. Suppose c + 14 = 2*c - 2*m, 5*m = 4*c - h. Let t = c + -2. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 77000004 = 5*r, 0*a = 2*a - 4. Round r to the nearest one million.\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**4)**(-4\/27) assuming t is positive.\nAnswer: t**(-20\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) 1 (c) 928\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**3 - 24*p**2 + p - 28. Give j(24).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/11, -2\/3, 5, -2\/179.\nAnswer: -2\/3, -2\/11, -2\/179, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:37 AM and 5:17 PM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -214 - 207 - 206 - 8*o + 627.\nAnswer: -8*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -40403103 (base 5) to base 13.\nAnswer: -b5160","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:23 PM and 12:50 PM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -77, 3, -1, -446 in decreasing order.\nAnswer: 3, -1, -77, -446","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**3 - 13*h**2 - 12*h + 11. Let u be b(-12). Suppose -8*w = u*w. Solve -3*m - 4*d + 3 = -w*d, 4*m = 4*d - 24 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 32*a + 240. Let y(z) = -11*z - 75. Let u(j) = 5*d(j) + 16*y(j). Let c(b) = -b - 2*b**2 + b + 7*b**2. Give u(c(w)).\nAnswer: -80*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*u**2 + 0*u**2 + 519*u**3 - 1532*u**3 + 684*u - 684*u.\nAnswer: -1013*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**3 - y**2 - 5*y - 6. Let i(s) = -s**2 - s - 1. Let d(n) = 5*i(n) - k(n). Is d(-5) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 13 - 3 = 0. Suppose 4*s = s + c*v + 19, 3*v = 2*s - 16. Suppose 3*q - 10 - 4 = -s*m, 0 = -5*m + 2*q + 24. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -313*k = 1883 - 7830 for k.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rjrr when four letters picked without replacement from rjrrjjjrjm.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 47909.84ng?\nAnswer: 0.04790984","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 + (-6 - (16 - 5))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 64 and 642.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s - f = 4, 24*s = 28*s - 115*f - 460 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:51 PM and 5:54 PM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y**2 + 0*y + 0*y)*((-3*y + 3*y - 2*y - 1)*(-3 + 4 + 0) - 40*y - 58*y + 33*y).\nAnswer: 134*y**3 + 2*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -11*h**4 + 2*h**3 + 9*h + 2. Let j(b) = -10*b**4 + 3*b**3 + 10*b + 3. Let c(t) = -2*j(t) + 3*l(t). What is the second derivative of c(u) wrt u?\nAnswer: -156*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 183 to the power of 1\/3, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 23 and -18331?\nAnswer: -421613","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3873?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55590428?\nAnswer: 2, 19, 37, 53, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f**2 + 2*f**2 - 2*f**2)*(0*f + 3*f - 4*f) + (-f + 4*f**3 + f)*(-1 + 4 + 0).\nAnswer: 11*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**3 + 4*m**2 + 2*m + 2. Let v be t(-3). Suppose -5*y = 2 + 13. Let q(n) = -n**2 - 5*n - 4. Let p be q(y). Put p, 0, v in ascending order.\nAnswer: 0, p, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*u, 45*l - u - 1292 = 40*l. Which is the fourth biggest value? (a) 1 (b) l (c) -6 (d) 5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*n**2 - 139 + 283326*n - 283226*n + 355.\nAnswer: -4*(n - 27)*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(156)*-2*-5*-3)\/(((sqrt(144) + sqrt(144) + sqrt(144) + -1*sqrt(144) + sqrt(144))*-1 + sqrt(144))\/(sqrt(12) + sqrt(96)\/(sqrt(72) + sqrt(8)))).\nAnswer: 375*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 1 = 2*a + 4, 0 = 4*y - 3*a + 1. Let v be 3*6*4\/(-45). Is y bigger than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 468.6929ng in micrograms?\nAnswer: 0.4686929","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77 = 8*b - 19. Solve -w = -4*w - b for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 254035 to the power of 1\/2, to the nearest integer?\nAnswer: 504","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 55455929?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -18\/112399 or 0?\nAnswer: -18\/112399","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 162, 0.24, 0.1, 3, -5, -15, -1.9?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the second derivative of 36*t**7\/7 - t**4\/6 + 9*t**2 + 17*t + 3. Find the third derivative of o(q) wrt q.\nAnswer: 12960*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 84\/24*(-2)\/(-7). Suppose 6 = 4*j - 6. Suppose 15 = j*r - 8*r, -h - 2*r - 7 = 0. Put h, s, -5 in decreasing order.\nAnswer: s, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1.5, 0.66, 0.1, -1\/17, 0.3?\nAnswer: 0.66","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4487, 4488, 4489?\nAnswer: 4490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1021 to the power of 1\/2, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(-3\/8)*j*j*j)\/(j*j**(-4))*(j*j**(-1))**0)\/(j**(-5)\/(j\/j**(1\/9))*(j**(-6)*j)\/(j\/j**(-2\/5)*j)) assuming j is positive.\nAnswer: j**(7169\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -3*a**3 - 12*a**2 - 22. Let w(u) = 2*u**3 + 8*u**2 + 15. Let l(v) = -5*b(v) - 7*w(v). Let c be l(-4). Solve -6 = c*q + 19 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 57228, 57189, 57148, 57105?\n\"Answer: -u**2 - 36*u + 57265","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 10\/16*(-4)\/(-10). Suppose 2*g - 19 = 5*f - 26, -5*g = 5*f. Which is the biggest value? (a) g (b) l (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 13 + 10 + 110*h - 43 + 25 in the form x + m*h and give m.\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 22562290\/939 + -24028. Which is bigger: 1 or a?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 336985 and 111400?\nAnswer: 2785","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 404, 425, 482, 593, 776?\nAnswer: 1049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**2 + 8*w + 5. Suppose -79 - 71 = -5*p. Suppose 4*o + 11 = k - 5, 0 = 3*k - 3*o - p. Give d(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*j**3 - 7*j**3 - 30*j**3 + 26*j**3 - 8*j**3 - 11*j**3.\nAnswer: -55*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 40 (b) -14 (c) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from zjzkxj?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + 7 = -5*i, -10 = -2*i + 7*i for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**3 - 4*m**2 + m - 4. Let z be o(4). Suppose -q + 14 = -z*q. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 + -1. Let c(w) = -w**2 - 8*w - 1. What is the tens digit of c(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/1205748 and -17\/10449816.\nAnswer: 31349448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + -1*sqrt(7) - sqrt(63)\/(sqrt(36) - sqrt(9))) + 1 + sqrt(448)*1 + sqrt(448))**2*-6.\nAnswer: -8448 - 1008*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 18 + 19. What is the remainder when m is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -51 + (-26 - -77) + 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9 - 10) + 8 - 16 - 4.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -6*d**3 + 15*d**2 + 7*d + 32. Let k(w) = -5*w**3 + 14*w**2 + 6*w + 26. Let l(m) = -5*k(m) + 4*q(m). Calculate l(10).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 - -232122302?\nAnswer: 232122233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + -2 + sqrt(3) - sqrt(3)) + -3*sqrt(75))**2.\nAnswer: 210*sqrt(3) + 724","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + 14 = 4*j, 3*y - j + 6 = 2*j for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**2 - 8*w - 5. Let y be g(-5). Let b = -5 + y. Suppose 4*m - 16 = 0, -b*o - 4*m = -3*o - 68. Is o a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1988735 to the power of 1\/2, to the nearest integer?\nAnswer: 1410","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 99 and 20709.\nAnswer: 227799","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:05 PM and 1:22 AM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t + 7 + 21. Let s = 46 + -6. Calculate the remainder when s is divided by t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1814 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -7883716 divided by 764\nAnswer: -10319","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and -0.137?\nAnswer: 0.137","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 67.94619 millilitres to litres.\nAnswer: 0.06794619","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8474?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + l = -0*l + 10, -2*l - 4 = 0. Calculate the remainder when 3 is divided by n.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*t**2 - 176 - 21*t + 170 - 53*t to b + y*t + s*t**2 and give y.\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -603354, -4, -0.4, -9?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 15216889 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6 and 96.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4777966.\nAnswer: 2, 2388983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 5)*((3 - 4 + 4)*(-3 + 0 + 5) - 5 - 1 + 3)*(209*r**2 - 209*r**2 + 31*r**3).\nAnswer: -186*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 21, 386, 2 in ascending order.\nAnswer: 2, 21, 386","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oap. What is prob of picking 1 a and 1 o?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10828.\nAnswer: 2, 2707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 302691329 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1233860 - 62918752\/51. Let x = c - 159. Sort x, -1\/6, 3 in increasing order.\nAnswer: -1\/6, x, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w - 1. Let g(v) = -12*v + 14. Let x be g(1). Suppose -3*k - 3*n - 12 = -0*n, 8 = -x*k + n. Calculate l(k).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: -1d1a2 (base 15) to base 14\nAnswer: -2680d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3570141 and 0.25.\nAnswer: -0.089253525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 39235 and 210.\nAnswer: 235410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -24 + 24.2. Let d = 1.8 + n. Are d and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -24, -2, 1, 5, -5, -1437 in ascending order.\nAnswer: -1437, -24, -5, -2, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -245*p**3 - 198 - 78*p**4 + 168*p**4 + 163*p**4 + 2*p + 245*p**3 wrt p.\nAnswer: 3036*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2000715 and 1?\nAnswer: 2000715","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 172 = -2*n, -4*r + 5*r + 4*n = 160. Let j be ((-18)\/(-1))\/((-6)\/(-8)). Calculate the highest common factor of j and r.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -4387*t - 1710916. Determine r(-390).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9119c (base 14) to base 8.\nAnswer: 1251226","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.72821 centimeters in millimeters?\nAnswer: 67.2821","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 14\/(-6) + 3\/9. Let j = 0.05 - -5.95. Let t = 6.4 - j. Sort y, t, 1 in ascending order.\nAnswer: y, t, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u = 5*u + 3. Let q(o) = -23*o**3 + 3*o**2 - 3*o + 1 + 3*o + u*o. Is q(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.12 times 1.1\nAnswer: -1.232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 142 by 270.\nAnswer: 71\/135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (q + 5*q - q)*(3 + 7 + 0)*(-1 + 3 - 1) in the form m + l*q and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.13835215 rounded to 4 decimal places?\nAnswer: 0.1384","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 35\/(-7)*-31*2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 2*j**2 + 12*j + 26. Determine u(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ohhoothhyoro. What is prob of sequence yot?\nAnswer: 1\/264","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 181499 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -212 (base 3) to base 16\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 - 67?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1296182 to the nearest integer?\nAnswer: 1138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -6*c**3 - c**2 + 3*c + 1. Let o be f(-1). Solve -o*g - z = -10, 0*g = -2*g - 2*z + 4 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4479305233.\nAnswer: 13, 19, 18134839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -4*h + 580, 4*n + 2*h + 18 + 532 = 0. Let w = n + 135. Which is the closest to 1\/4? (a) 0.05 (b) -0.3 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (8\/6)\/((-3)\/(-18)). Suppose 5*p - 5*k + 20 = 0, 4*k - j = 2*k. Let a = -63\/65 - -6\/5. Which is smaller: a or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 10 = 2. Suppose a*q = q. Suppose -3*h + 32 = k, q*k + h = -k + 28. Calculate the greatest common divisor of 65 and k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(((2*sqrt(75)*-2 - (-1 + sqrt(75) + 3)) + 0)**2 - 3*((1*(2*sqrt(75) + sqrt(75)) - sqrt(75)) + (sqrt(75) + sqrt(75) + -1 + -1)**2)).\nAnswer: -3868 - 760*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 8) to base 15.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 2*d**2 - 2*d - 1. Let j be h(2). Let g = j - 12. Let y be 6\/g*(-6)\/(-20). What is the closest to 1\/2 in -5, 3\/4, y?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 + 7. Suppose h = 5*p - 7 + 2. Put 2, p, -4\/5 in descending order.\nAnswer: 2, p, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -7*o. Let d(a) be the first derivative of -a**3\/3 + 7. Give d(k(j)).\nAnswer: -49*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**2 + 18*z + 18. Let p be d(-17). Let u be p*(-4)\/4 - -3. Suppose u*f - 6*f + 19988 = -3*x, 4*f = -x + 20004. Round f to the nearest one thousand.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**3 - 11*v**2 - 42*v - 42. Determine s(13).\nAnswer: -250","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0, 3\/79, 1, -2\/5, -2?\nAnswer: 3\/79","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y + 95. Let j be b(0). Suppose 3 = 3*f - 2*f, -p + 4*f + j = 0. Let z = 186 - p. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7.5 + -3.5. Let c = -6 - t. What is the smallest value in c, -1, 0.1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r - 3*r - 16. Let i be 30\/24 + 6\/r. Let f = -2 + i. Solve f = 2*h + 5 - 1 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(171) + sqrt(171) + -3 + sqrt(171) + 1)**2.\nAnswer: 36*sqrt(19) + 1543","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2131 divided by 255?\nAnswer: -2131\/255","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 730135807 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*p + 0*p - 4*p)*(85 + 98 - 82*p - 179) as b*p**2 + c*p + n and give c.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2253889 and 0.5.\nAnswer: -2253888.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1098 and 30?\nAnswer: 5490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**3 + 4*z**2 - 3*z + 5. Let h be j(-5). Sort 4, h, -1.\nAnswer: h, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 5*s + 16, -m + 8 = 3*s - 6*s. Let y be (-3)\/(-15) - (5 + -7)\/(-10). Put y, -2, m in ascending order.\nAnswer: -2, y, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 103 + -104. Put -2\/19, v, 0.5 in decreasing order.\nAnswer: 0.5, -2\/19, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*b + 5 - 5*b - 6)*(2*b - 4*b + 4*b) as f*b + n + y*b**2 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3621 + 3623. Let m(v) = 10*v**2 + v + 2. What is m(i)?\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 4, -0.07, 0.9, -1\/3?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o + 2*o - 15. Let k(p) = 2*p**3 + 4*p**2 - 3*p + 1. Let t be k(o). Let h = t + -178. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 1, -0.1, 2, 0.01?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 30.5059 - 24.338. What is n rounded to one dp?\nAnswer: 6.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7410 and 6.\nAnswer: 7410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in three sixteenths of a century?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 492 = -3*z, 0 = 7*b - 2*b + 2*z - 592. Suppose b = -7*j + 9*j. What is the greatest common factor of 20 and j?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/5 in 0.55, 1.13, 0, -0.376?\nAnswer: -0.376","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 + 2.9. Let s = 10.3 + -10. What is the closest to v in 2, -3, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lcxz when four letters picked without replacement from {e: 2, l: 1, z: 1, c: 2, r: 1, x: 1}.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -11de79 - 8?\nAnswer: -11de82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1044903906 divided by -997998.\nAnswer: 1047","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the third derivative of j**5\/30 - 2*j**4 + 1578*j**2. Determine q so that a(q) = 0.\nAnswer: 0, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -25241, -385, -3, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 18 + 52. Let x = -14 - -24. Let l = p - x. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 387 and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-146)\/(-10) + 3\/(-5). Let d = o - 8. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80 = -29*k + 9*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3407.01 take away 3.5?\nAnswer: -3410.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 60 and 7530.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 2 e when three letters picked without replacement from exnneexehxxh?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 27758856943 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000301063 rounded to seven decimal places?\nAnswer: -0.0000301","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 124*d**2 - 152*d**3 - 124*d**2.\nAnswer: -152*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 178023143 and 1096?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven halves of a millennium?\nAnswer: 42000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 203050*t + 101*t**2 - 203050*t - 488*t**2. Let q(y) = 13*y. What is j(q(s))?\nAnswer: -65403*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.022361331 to three decimal places.\nAnswer: 0.022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1261, -2986, -4855, -6940, -9313, -12046?\nAnswer: -15211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -3*k - 18. Let o be r(-5). Let x be ((-1)\/o)\/((-6)\/(-9)). Is x at least as big as -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -l + 3*l + 6*l + (-3*l + 3*l + 3*l)*(2 - 3 + 2) + 23*l + 2*l + 2 - 3*l.\nAnswer: 33*l + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 + 19 = 3*i. Let n(f) = f**2 - 9*f - 1. Let o be n(i). Calculate the highest common divisor of o and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-38))\/(804\/1273)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5.1 - 0.9. Let u = 138.5 + -138. Let z = u + 2.5. Put n, z, -4 in decreasing order.\nAnswer: z, -4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l - 5*f + 9, 3*l - f + 4*f = 9. Let t be 8\/12 - 10\/(-3). Let a be (-8)\/(4 - 8) - t. Put l, -4, a in descending order.\nAnswer: l, a, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/15)\/(10\/(-45))\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3, 45 in descending order.\nAnswer: 45, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -95, -232, -427, -710, -1111?\n\"Answer: -5*z**3 + z**2 - 105*z + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -6823617*r + 34118094. Determine u(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*m - 11*m = 58 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 4*m = 12, 2*v = -0*v + 5*m + 1. Let d(t) = -3*t**2 + 11*t + 11. Let a(h) = -h**2 + 5*h + 5. Let l(z) = 5*a(z) - 2*d(z). What is l(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5261\/2 = 2630?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llk when three letters picked without replacement from {c: 1, k: 1, y: 4, l: 4}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 3*s = 5*s - 200, -3*j + 308 = s. What is the remainder when j is divided by 33?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + -1 - (12 + -7 - 12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.3, 124, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -0*o. Suppose 50*a + 1135230 - 1135530 = 0. Solve o*g = -3*g + a for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -49*n**3 - 6*n**2 - 9*n + 12. Let s be j(11). Let y = 168876 + s. Suppose 457156 + y = 4*z. Round z to the nearest one hundred thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -3*c**2 - 5*c**3 - 3*c**2 - 7*c + 4*c**3 - 7. Let i be (2\/5)\/(5\/(-50)). Let n = i + -1. Determine j(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 23 = 4*u, 0 = 4*u - 3*c + 5*c - 30. Suppose -5*x = -u - 23. Let v(h) = 3*h**3 - 11*h**2 + 6*h - 1. Is v(x) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/9)\/((-10)\/6)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 949, 924, 853, 712, 477?\nAnswer: 124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5994 and 192807?\nAnswer: 1156842","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 5*v = 0. Let n be ((-34)\/85)\/((-1)\/(5\/(-386))). Is n less than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + g)*(g**2 + 0 + 0) + g**3 + 0*g**3 - 5*g**3 + (-7*g**2 - 22*g**2 - 21*g**2)*(3*g - 3*g - 3*g).\nAnswer: 147*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 42208?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 144079?\nAnswer: 13, 11083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 5*w**3 + 8048340*w**2 + 3238273682580*w - 414630905858560 = 0.\nAnswer: -804898, 128","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16 - -16. Calculate the highest common factor of 80 and f.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**3 + 26*v**2 + 22*v + 87. Let n be j(-25). Let c = 229 - n. What is the tens digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2323616*r**3 - 9*r**2 + 169239*r - 9 wrt r?\nAnswer: -13941696","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7000382.34ms in weeks?\nAnswer: 0.01157470625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 49004119069 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-16)\/(-7) - (-46)\/(-161). Factor 12*h**2 - 16 - 5*h**l - h**3 - 10*h + 2*h.\nAnswer: -(h - 4)**2*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the third derivative of -f**6\/1440 - f**5\/120 - f**4\/32 - 79*f**3\/6 + 4*f**2 + 7. Let g(i) be the first derivative of p(i). Solve g(h) = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**2 + 3*a - 4. Let k be y(2). Let v be ((-12)\/(-8) + -1)*-8. Is ((-290)\/v)\/(k\/12) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x - 128 = 2*x - 16*x for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (-20 - -2 - (56 - 65)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 2*d + 6. Let h be (-10)\/4*(-11 - -17). Let q be (-3)\/h*(17 + 8). Sort -2, d, -1, q in ascending order.\nAnswer: -2, -1, d, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 366059.8277 to the nearest ten thousand.\nAnswer: 370000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + 22 - 51 = 4*o - 28, -5*o - 81 = -7*q + q for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -789 + 794. What is the nearest to 2 in u, -1\/8, -4?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 34*j + 5*j + 4*j to the form d + x*j and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 695*j + 5556. What is w(-8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -46.9 - -23.3. Let h = -23.6000263 - b. What is h rounded to six dps?\nAnswer: -0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 49, 315, 1031, 2419, 4701?\n\"Answer: 37*u**3 + 3*u**2 - 2*u + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 10*i**3 + 7*i**2 - 4*i + 22. Let o(y) = -7*y**3 - 6*y**2 + y**2 - 9 - 4 + 61*y - 58*y - 2. Calculate 5*g(r) + 7*o(r).\nAnswer: r**3 + r + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -350653784 divided by 87663446\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 804 divided by 402?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-4)\/x)\/x*x*x\/(x\/((x*x**(1\/24)*x)\/x)))\/(x\/x**(-5))**(-36) assuming x is positive.\nAnswer: x**(5089\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 + (-14 - (-13 + -5 - -2)).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:09 PM and 6:27 AM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 199 = -5*s - 16, s + 5*l - 19 = 0. Suppose -w = 2*w - s. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 115\/21 or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:15 AM and 9:58 PM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - (-7 - 4)) + -12?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18198 divided by 54.\nAnswer: 337","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.17233 and 4.\nAnswer: 0.68932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1242 a factor of 50800439?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - v = -2*c + 14, 0 = -4*v + 12. What is the third derivative of 6*j**2 - 1155 + c*j**3 + 1155 wrt j?\nAnswer: 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 10, u: 4, s: 2, h: 4}. Give prob of picking 1 h, 1 u, and 1 s.\nAnswer: 8\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1, 4, 13, 26, 43?\n\"Answer: 2*c**2 - c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 411 - 414. Let u(m) = m**2 - 1. Let p(s) = 4*s**2 + 3*s - 4. Give q*u(b) + p(b).\nAnswer: b**2 + 3*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10010 - 10001?\nAnswer: -100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -118266901\/1616 + 73185. Calculate the common denominator of 3\/112 and s.\nAnswer: 11312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(2\/7))**(-37)\/(s**(2\/5))**(33\/5))**(-16) assuming s is positive.\nAnswer: s**(36992\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 282753187 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 60\/22 + 8\/(-44). Let h = -6390\/2519 + d. Let l = 703\/1832 - h. Which is the closest to 0.1? (a) l (b) 0.2 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - (-30 - 35 - -21)?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -373, -543, -713, -883?\nAnswer: -1053","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in 2\/11, 40, 13, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 226 - 313. Let u = -87.1 - l. Which is the second smallest value? (a) -2\/17 (b) -0.5 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:13 PM and 8:03 PM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 3 = 15. Suppose 0 = -w - 0*w + 4*d - 6, c*d = -3. Let j(l) be the first derivative of l**2\/2 + 11*l - 39. Calculate j(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 0 + (5 + -1 - -4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1139803402.\nAnswer: 2, 293, 1945057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**3 + 136*n**2 - 2170*n - 4900.\nAnswer: -2*(n - 35)**2*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a day in seconds?\nAnswer: 8640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*v + 28*v - 1603 = 0. Let o = 11 - v. What is the least common multiple of o and 7?\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6146*h - 2499*h - 1791899 = 3872*h - 377478 for h.\nAnswer: -113","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 211*l = 216*l - 34, -5*l + 110 = 5*y. Solve 10*n + 41 = -y for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 154 is divided by 20.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (20 - 14) + (-20 - (3 + -2))\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -y + 1, 4*w - 8*y + 6*y = 10. Solve -4 = -3*o + w*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2880286?\nAnswer: 2, 19, 75797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 9417 + -9613?\nAnswer: -1b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + x + 16 = -6, -2*d + 3*x = -17. Let v be 121\/d + (-2)\/7. Suppose -m = -0*m - v. Calculate the remainder when m is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 3*l**3\/4 - 2415*l**2\/2 - 83031*l\/4 + 43929\/2 = 0.\nAnswer: -18, 1, 1627","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -280, -0.3, -1.\nAnswer: -280, -1, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64659 = -8*a - 7283. What is the derivative of a*p**4 - 13 - 7184*p**4 - 12 wrt p?\nAnswer: -48*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -103*k + 11*k + 28*k - 19080 = 201*k for k.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 27 - 25. Sort 5, -1\/6, u in decreasing order.\nAnswer: 5, u, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(4 + 1*sqrt(76)).\nAnswer: -8*sqrt(19) - 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.647 and 0.0166.\nAnswer: 0.6636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1185, 1469, 1753, 2037, 2321?\n\"Answer: 284*o + 901","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -217*t - 113*t - 111*t - 257 + 435*t as i*t + g and give i.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the third derivative of -2197*g**5\/60 + 3101*g**2. Let v(n) = -4*n**2. Determine v(x(l)).\nAnswer: -19307236*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -315324425 (base 6) in base 5?\nAnswer: -2412012014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 2*d**2 - 8*d - 126. Let l be r(11). Solve 13*f + 246 = -l*f for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - a + 90 = 5*v, -a + 20 = -v. Let r = a + -32. Is -12 not equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 7\/((-17220)\/(-36765))*2\/45. Let u = -1\/410 - w. Let r = 0.1 + -0.1. Which is the nearest to 1\/8? (a) -2 (b) u (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1728130 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes after 6:49 AM?\nAnswer: 11:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d**3\/4 - 5055*d**2\/4 + 6673707*d\/4 - 713227437\/4 = 0. What is d?\nAnswer: 117, 2469","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 77 and 22561.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 400994.\nAnswer: 2, 11, 1657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 + 51241014?\nAnswer: 51241020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 2\/11, -4\/3, 24855?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15 - 1. Solve 3*r + 5*c - f = r, 12 = 3*c for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -516, -2118, -4806, -8580, -13440, -19386?\n\"Answer: -543*r**2 + 27*r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44441144 (base 5) to base 11.\nAnswer: 247164","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 3*f = 4*y + 18, -y + 6 = -3*f. Let q be (9*(-2)\/(-15))\/(128\/320). Put 5, q, y in descending order.\nAnswer: 5, q, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5233133 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -2*n - 6. Let v(j) = -j - 1. Let p(g) = 6*v(g) - z(g). Let c(x) = -5*x. Determine 3*c(d) - 4*p(d).\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20514267 and 225?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82 = 5*w - 12. Let k(u) = -6*u - 14. Let h = 18 + -17. Let a(p) = p - 2 - 2 - 3*p - h. Give w*a(l) + 5*k(l).\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 201.3291 hours?\nAnswer: 724784760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-3*(sqrt(176) + -5 - sqrt(176)\/(sqrt(4)*1))**2 + 0)*-2*4.\nAnswer: -4968 + 1440*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 3*t**2 - 6*t**2 + 52099937*t - 52099931*t + 47. Give f(6).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 b when two letters picked without replacement from {b: 2, v: 1, y: 4, u: 1, c: 2}.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 1387540.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**3 + 18*o**2 - 48*o.\nAnswer: 3*o*(o - 2)*(o + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1644 and 2055.\nAnswer: 8220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2411466?\nAnswer: 2, 3, 29, 13859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 18\/54 - 18092\/(-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.02646 + 0.22646. Let n = -472\/55 - -42\/5. What is the nearest to v in -5, n, -4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(5) + -1 + 4)*-2)**2.\nAnswer: 24*sqrt(5) + 56","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 4*y**3 + 15536*y**2 - 124480*y + 249088 = 0.\nAnswer: -3892, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 4*l - 82. Calculate the common denominator of 8877\/748 - 2\/17 and -1 + (1 - (-48)\/l).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l + 2*l - l)*(-5*l**3 + 2*l**3 + 2*l**3) + 1006 - 1006 + 11*l**4 + 2*l**2.\nAnswer: 10*l**4 + 2*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 133*j**2 - 101*j - 202. What is v(-2)?\nAnswer: 532","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 576335696 to the power of 1\/2, to the nearest integer?\nAnswer: 24007","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-39022)\/(-537))\/109*(-6)\/152*-2?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11020101 - -2?\nAnswer: 11020110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 27729807 to the power of 1\/2, to the nearest integer?\nAnswer: 5266","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gow when three letters picked without replacement from dddkoogdww?\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*p - 856 + 2475 - 814 - 805.\nAnswer: 6*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2 - 6)*(1 - 3 + 0)*(2*d**4 + d**4 + 2*d**4).\nAnswer: 10*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0561 rounded to 3 decimal places?\nAnswer: 0.056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**5 + 16*u**4 - 44*u**3 + 48*u**2 - 18*u.\nAnswer: -2*u*(u - 3)**2*(u - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -316514\/9 + 35463. Let a = 295 - s. Find z, given that 2\/9 - 2\/9*z**2 - a*z + 2\/9*z**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 21, -9.9, -0.2, -1\/3, -0.1, 5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/10 + (-60522)\/(-105). Let d(g) = -g**3 - 21*g**2 - 11*g + 252. Let s be d(-20). Calculate the highest common factor of i and s.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-42)\/(-24) - (-1)\/4. Suppose 5 = s - 5*k, -6 = b*s + 4*k - 2. Solve x = 5*x + d + 13, s = 3*x + 5*d + 31 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15817, 15915, 16051, 16237, 16485, 16807?\nAnswer: 17215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 7709136 * -0.2\nAnswer: -1541827.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**3 - x**2 + x - 1. Let r(m) = -3 - 213*m + 789*m**2 - 812*m**2 + 216*m - 6*m**3. What is -3*c(g) + r(g)?\nAnswer: -3*g**3 - 20*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 125 = 26*j - j. Let o be (j\/2 - 1)*1224\/459. Solve 3*h = o + 11 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1001110110101111 (base 2) to base 7\nAnswer: 225455","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/6)\/((128\/12)\/(-32)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 460040 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (12\/6)\/(1\/(-109)). List the prime factors of g\/(-8) - 9\/(-12).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 483 and 138?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15\/((-15)\/(-9465)*1).\nAnswer: 3, 5, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 273 divided by 91\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, -760, 5, -0.03, 2\/13?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1880569288?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6742 is divided by 192?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the third derivative of p**7\/2520 - p**6\/180 + 2*p**5\/5 - 27*p**2. Let i(o) be the third derivative of x(o). Give i(8).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27390 divided by -5.\nAnswer: -5478","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 28 and 34951126.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -33, 0, 1 in increasing order.\nAnswer: -33, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 2 + (-2 + 2 - 1)*(0 + 0 + 2))*(25006*o**3 - 40*o - 25025*o**3 + 125*o).\nAnswer: 19*o**3 - 85*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -2591203 divided by 137\nAnswer: -2591203\/137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 + -6 + 2)*1*-1. Suppose 52 = 2*o + 2*k, o + 9*k - j*k - 6 = 0. Calculate the remainder when o is divided by 29.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**3 + 23*l**2 + 27*l - 1337. Calculate w(-13).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -l**5\/4 - l**4\/2 + l**3\/2 + 2*l**2 + 7*l\/4 + 1\/2 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**3 - 9*a**2 - 10*a + 11. Suppose 4*w + 26 = 3*d, -5*w - 15 = 2*d - 4*d. Let r be f(d). What is the highest common factor of 77 and r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -452402154 (base 6) in base 14?\nAnswer: -1148062","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -34818 - -34777. Put 5, u, 5\/2, 4 in decreasing order.\nAnswer: 5, 4, 5\/2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4696662?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1281 is divided by 1272.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (17 + -15 + 17906\/(-21))*(-15)\/4 and 14?\nAnswer: 22330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -24*65*(4 + -5). What is l rounded to the nearest one hundred?\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 160 - 158. Suppose l + 10 = v + 4*v, -5*v = 3*l + 10. Solve 2*z - 2 + v = -5*u, -u + d = z for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**2 - 7*g - 6. Let w be o(8). Suppose 27 = 4*z - u - 24, w*u = -z + 15. What is the highest common factor of 312 and z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*y**4 - y**3 + y**3 + 3*y**3 - 3*y**3 + 2*y**4 + 4*y**3 - 4*y**3 - y**4 + (-3 + 3 + 1)*(2*y**4 - 6*y**4 + 2*y**4) + 4*y**4 + 0*y**4 + 2*y**4.\nAnswer: 3*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -c - 5*g, -5 - 18 = -3*c + 2*g. Let k be 6\/(-27) + 1588\/18. Calculate the highest common factor of c and k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -4*q - 2. Let v(f) = 7*f + 3. Let x(t) = -6*k(t) - 3*v(t). Let r(n) = 4*n + 2. Determine -2*r(i) + 3*x(i).\nAnswer: i + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 4 + 7 - r - r + 7*r**2 to the form c*r + q + i*r**2 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5976555021299\/6034 - 990479787. Let x = 7\/431 + r. Find the common denominator of 45\/4 and x.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-16782)\/(-1284) + -6 + -7. Let j = 796\/10593 - m. Are 1 and j equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 38*d**2*i**4 - 11*d**2 + 153*d*i**5 - 40*d*i wrt i.\nAnswer: 456*d**2*i**2 + 3060*d*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -104894 at least -104893?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the first derivative of 0*d**2 + 0*d - 68 - 1\/3*d**3. Let j(z) = 16*z. Calculate j(n(l)).\nAnswer: -16*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from {a: 1, q: 7, h: 1, y: 3}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 4*y + 573 = 61, g - 4*y = 112. Find the common denominator of -13\/4 and (-3 - (-62)\/g)\/(8\/10).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h + 5*d + 46, -5*d - 68 = -5*h - 4*d. Suppose 2*o + 168 = 3*s, 2*s + o - 95 = 10. Calculate the remainder when s is divided by h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the first derivative of -1\/3*l**3 + l**2 + 115 + 0*l - 11\/2*l**4. Find the third derivative of q(t) wrt t.\nAnswer: -132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.9 - -1.77. Let i = 4.13 + k. Let f = 0.3 - 0.3. Which is the third biggest value? (a) f (b) i (c) 2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*m + 2*m + m)*(-1 - 1 + 1) - m + 6*m - 4*m + m - 3*m + 3*m + (-2*m - 2 + 2)*(-1 + 4 - 4) - 3 + 3 + m + 1 + 2*m - 1)*(-13*m**2 + 13*m**2 + 12*m**3).\nAnswer: 72*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 637 and 1703.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11*j**4 + 21*j**4 - 5*j**2 + 10*j**4 + 3 wrt j.\nAnswer: 480*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 606 is divided by 50?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 3*r - 11 = 0, 4*t - 2*r = -5*r + 14. Suppose -70 = -t*y - 3*z + 410, -5*y + 450 = -3*z. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/9 + 110\/6. Suppose -3*b + 2*b + u = 0. Is b a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 74\/14 - (-2)\/(-7). Let q(y) = -2*y - 14. Let v(h) = -h**2 + h - 1. Let t be v(-2). Let m be q(t). Solve m = n*z - 0*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 a when two letters picked without replacement from {w: 1, o: 7, a: 4, l: 1, n: 2}?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 70\/21 + 2\/3. Let p = 94.3 + -5.3. What is the second smallest value in 5, t, p?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18286130?\nAnswer: 2, 5, 79, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the first derivative of 2*o**3\/3 + 7*o**2 - 9*o - 1759. Suppose 2*m - 25 + 6 = z, 0 = -5*m + 20. Calculate the remainder when t(z) is divided by 21.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -547*u - 3*y + 23403 = -544*u, -4*u + 31172 = -4*y. What is the thousands digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 95806002?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -7*r**2 - 5*r + 10. Let z be q(-6). Let s = 325 + z. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 552 and 1739784?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.251*56369\nAnswer: -14148.619","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.6 - -0.2. Let l = 818\/51 + -46\/3. Let t = l - 194\/323. Which is the second biggest value? (a) t (b) q (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 4*j + 2. Let k be (-8)\/(-12) - (-4)\/j. Sort -1, k, 3 in ascending order.\nAnswer: -1, k, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 - -7)\/((-3)\/(-6)). Suppose m = -2*p + 3*p. Is p a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -406*n + 2 + 172*n - 345*n.\nAnswer: -579*n + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 53881.3354 + -53887.33539977. Let p = -6 - o. What is p rounded to 7 dps?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 1 = -3. Let r(w) = w - 1. Let j be r(8). Let m be 14\/j - 136\/70. Which is smaller: t or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -29.2 + 26. Let w = -0.4 - k. Let q = w + -2.80000026. Round q to 7 dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (19 + 6 + 10)*(5*i + 0*i - 3*i)*(-2 + 107 + 59) in the form d + a*i and give a.\nAnswer: 11480","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 7733 to the power of 1\/2, to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 363 and 12?\nAnswer: 1452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12.08 + -0.08. Let t = y - 7. Let z = t + -4.9999905. Round z to six decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -396289, -396290, -396291?\nAnswer: -396292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14, 149, 514, 1223, 2390?\nAnswer: 4129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pppppbpbbpbbbb. Give prob of picking 2 b and 2 p.\nAnswer: 63\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -6548, 3, 0 in decreasing order.\nAnswer: 3, 0, -5, -6548","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -6*f + 8*f. Suppose 3*t = s + 183 - 34, 0 = 2*t + f*s - 105. Is t a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 44440 + -22973. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 222588 less than 19675418?\nAnswer: 19452830","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1*-6*((-1702)\/46)\/(-185)\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16, 35, 68, 115, 176?\nAnswer: 251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f + o - 3*o + 8, 3*o = 12. Suppose 33*l - 18*l + 75 = 0. What is the closest to -3 in l, f, 1\/2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14 - -8. Let s be (-5)\/10*4\/f. Let n = 10 + -10.2. Which is the second smallest value? (a) -2\/15 (b) s (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10353, 10356, 10361, 10368, 10377?\nAnswer: 10388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/12 + ((-64)\/(-18) - 4).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u - 38 + 28. Suppose -u*b + 5 - 15 = 0. Is (-350)\/(-4) - (-3)\/b - 1 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 17 - (-5*4\/(-10) - (13 - 11)). Solve 0 = -f*o - 5*o - 132 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1263, -5066, -11411, -20304, -31751, -45758, -62331?\nAnswer: -81476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 21739087 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**3\/4 - 247059*w**2\/2 - 1976520*w - 7906144.\nAnswer: (w - 494134)*(w + 8)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 558135499?\nAnswer: 199, 701, 4001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**2 + 11*a - 8. Suppose 5*y + 0*y - 215 = 0. Let u = y + -33. Let n be m(u). Solve -x = -3*x - n for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.17 from -20.52.\nAnswer: -20.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 108430 (base 9) to base 14.\nAnswer: 19ab6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -21*i - 34. Let o(p) be the second derivative of -11*p**3\/6 - 17*p**2\/2 - 13*p. Let w(h) = -3*c(h) + 7*o(h). What is the units digit of w(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-144)\/(-16))\/(-18)*(-42)\/(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n**2 - n**3 - n**2)*(-11821 + 11821 + 121*n**2) + (2*n**3 + 0*n**3 + 0*n**3)*(0*n**2 + 2*n**2 - n**2) - 2*n**4 + 3*n**5 + 2*n**4.\nAnswer: -116*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -26.2 + -0.8. Let q = 26.5 + n. Which is the second biggest value? (a) 0 (b) q (c) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -24541, -49587, -74639, -99703, -124785, -149891, -175027, -200199?\n\"Answer: -r**3 + 3*r**2 - 25048*r + 505","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -204 divided by -4?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*i**2 + i**5 + 0*i**2 + (-i**2 + 5*i**2 - 6*i**2)*(-i**3 - 10*i**3 - 11*i**3).\nAnswer: 45*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -16, -44, -78, -124, -188, -276, -394?\n\"Answer: -o**3 + 3*o**2 - 30*o + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000003200701762 to 7 dps.\nAnswer: 0.0000032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.87 - -0.13. What is the second smallest value in -4, -1, u?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-4)\/(1 - 37))\/((-4)\/(-6)). Let c(j) be the third derivative of 0*j + g*j**4 - 3*j**2 + 2\/3*j**3 + 0. What is the first derivative of c(y) wrt y?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4538 divided by -943?\nAnswer: -4538\/943","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than or equal to -3\/1471693?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 60*1*(-5 + 33\/5). Let w be (-1)\/(-4) + (-888)\/q. Let l(r) = -r**3 - 10*r**2 - 11*r - 16. Give l(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 716.\nAnswer: 2, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 705355402 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 90\/(-20)*-2*3\/(-9)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(2448) - -1*(-1 + sqrt(2448)))**2 - (-1 + sqrt(2448) + -3*sqrt(2448))**2)*6.\nAnswer: -576*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(1\/3)*r*r*r**(2\/11))**(-9) assuming r is positive.\nAnswer: r**(-249\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -12*a - 1. Let t be c(-2). Let w = t - 56. Let m be (-13)\/(-132) + 6\/w. Put -2\/9, 1\/4, m in ascending order.\nAnswer: -2\/9, m, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/(-9))\/4*(-72)\/(-6 - -3)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 3*r + 31555, 0*i = 4*r - 2*i + 42070. Is -3 + (-76)\/(-28) + r\/(-14) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18263*i - 18255*i + 168 = -2*j, -4*i - 4*j - 96 = 0 for i.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f - 5 = m, -5*f - 15 = -2*m - 25 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -21*r**2 - 204*r - 288 = 0.\nAnswer: -8, -12\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -423, -895, -1357, -1803, -2227, -2623, -2985, -3307?\nAnswer: -3583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the third derivative of -1\/3*y**4 + 1\/30*y**5 + 40*y**2 + 0*y + 0 + 0*y**3. Determine j, given that s(j) = 0.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6\/241 - -26811\/2410. What is the common denominator of p and -109\/390?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -2*d + 5*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 = 3*c - 4*h + 15, -5*h + 8 = 3*c. Let i(u) = -u**2 + 6*u + 1. Let d be i(c). Let a = 34 - 30. Which is bigger: a or d?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17 divided by -44\nAnswer: -17\/44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14097842?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the third derivative of o**9\/252 - o**6\/36 + o**3 + 9*o**2. Let j(r) be the first derivative of n(r). What is the third derivative of j(i) wrt i?\nAnswer: 720*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -13*p**2 - 18*p - 21. Let t(v) = 23*v**2 + 35*v + 42. Let c(o) = -7*n(o) - 4*t(o). Let h be c(-10). Which is smaller: h or 30?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and 64669.\nAnswer: 388014","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 2 n, and 1 q when four letters picked without replacement from xgqnxxxjxjnqggxj?\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 20. Let z(a) = 1717*a - 59. Give 3*n(l) + z(l).\nAnswer: 1717*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 319058 is divided by 39829.\nAnswer: 426","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -3*x + 276. Suppose -3*n + 2*y = n - x, 0 = 2*n + 2*y - 78. Is 12 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -27 + (18 - 16 - -6) + -8\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 13669 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -3531, -14132, -31801, -56538, -88343?\n\"Answer: -3534*b**2 + b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 2*c**3 - 2*c**2 - c - 1. Let x be j(2). Let a(w) = 2*w**2 - 11*w + 17. Let h be a(x). Solve -h*o = -11*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9888546035 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 12449792*r. Let k(v) = -11*v**2. Give k(l(z)).\nAnswer: -1704970529275904*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 89753 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/(x\/x**(-5))*x**(-2\/39)*x*x*x*x**(3\/8)\/x*x*(x**(-5)*x)\/x assuming x is positive.\nAnswer: x**(-2083\/312)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -9 + 3 + (-24)\/(-6). Let c(n) = 2*n + 3. Give c(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -5*s - 84, 5*v + 10*s - 140 = 11*s. Let m = v - 25. Put 5, -40, 2, m in ascending order.\nAnswer: -40, 2, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 392.213 + 22441304.\nAnswer: 22441696.213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h - 16270 = -1158. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0, 14052 in descending order.\nAnswer: 14052, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1688658344.\nAnswer: 2, 23, 9177491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 287 + -280. Which is bigger: f or 39\/5?\nAnswer: 39\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the second derivative of -971*h**6\/30 + 2009*h**2\/2 + 189*h + 1. Find the first derivative of l(x) wrt x.\nAnswer: -3884*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 847129 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 1144828*c**3 - 2*c**2 - c + 4. Let q be p(-3). Let v = q + 13810367. What is v rounded to the nearest one million?\nAnswer: -17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -12, 5, 2, -4, 6, -143 in descending order.\nAnswer: 6, 5, 2, -4, -5, -12, -143","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.007*-2.\nAnswer: -0.014","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the first derivative of 17*m**3 + m**2\/2 + 7*m - 8. Let v be p(5). Suppose v + 2525 = 4*t. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 c when two letters picked without replacement from gjocgcggg.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-28696)\/1266*(-12)\/17?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 700862?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -p**4 + 3*p**4 + 1 - 2 - p**4 - 2*p**3 + 2*p**3 + (3*p**3 + 2*p**3 - 4*p**3)*(-2*p - p + 2*p) - p**4 - 4*p**4 + 0*p**4.\nAnswer: -5*p**4 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/((x\/(x*x**(-2)))\/x))**(9\/11)\/((x**12\/x)\/(x\/(x\/(x*x**4*x*x)))))**(-21\/2))**(-5) assuming x is positive.\nAnswer: x**(-210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -647337*a + 647337*a + 25389*a**2 as f*a**2 + o*a + k and give f.\nAnswer: 25389","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0548 take away 212?\nAnswer: -212.0548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -27031, -27034, -27037?\nAnswer: -27040","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(425)*4 - sqrt(425)) + -3 + -4*(sqrt(425)*2 - sqrt(425)) + 4*(2 + sqrt(425)) + -2)**2.\nAnswer: 90*sqrt(17) + 3834","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 299 and 455.\nAnswer: 10465","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:18 PM and 2:37 PM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 21, 2, -1, -348, 4 in increasing order.\nAnswer: -348, -4, -1, 2, 4, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 18 + (0\/(26 + -53) - -56)\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7312583057 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/5 of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + (0 - 4) - -7 - 30 - (-4 + 0).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 - 16 - (-3)\/(-1). Let a be ((-95)\/(-15))\/(2\/h). Let t be 10\/3*a\/76. Put -4, t, -10 in decreasing order.\nAnswer: t, -4, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 152 - 88. What are the prime factors of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 + 1 + 2)*(-12)\/(-24). Let n be -5*(z - -1 - 3). Solve 1 = -2*q - n for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -10*r + 9. Let m(v) be the third derivative of -3*v**4\/8 + 4*v**3\/3 - 12*v**2. Determine -7*m(k) + 6*z(k).\nAnswer: 3*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 16 = -3*o, -o - 13 = -0*v - 2*v. Suppose 2*t + v*b = 790 - 185, -2*t + 2*b + 626 = 0. Let y = -221 + t. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -32*r**3 - r**2 - r. Let o be j(-1). Suppose -2*k = 4*b - 5*k - 30, 5*b - o = k. Solve q + b = -q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 377450 (base 10) in base 8?\nAnswer: 1341152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t**5 - 4*t**4 + 72*t**3 + 200*t**2 + 188*t + 60 = 0. Calculate t.\nAnswer: -3, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 76273080 a multiple of 120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are -6 and 78\/779 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43*w**3 + 41*w**3 + 271*w - 142*w - 75*w**3 - 129*w.\nAnswer: 9*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the third derivative of n**5\/4 - 99*n**2. Let h(z) = -8*z. Calculate h(m(q)).\nAnswer: -120*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 0*p = -4*p + 8, 0 = d + 5*p + 8. Let f(b) = 57*b - 65. Is f(d) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*z + 6*z - 4*z.\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -268?\nAnswer: -5\/268","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-60)\/100*(-10)\/(-39)\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -161\/132 and -23\/300132?\nAnswer: 3301452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2a69 + -1bb?\nAnswer: -2c24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 5*u - 2*s, 3*u - 2*s = -u + 2. Suppose u*r - 30 = 5*r. Let h = 13 + r. Solve 0 = 4*l - 3*d - 33 + 12, h = 4*l + 3*d for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.4298 - 0.5702. Does -192 = x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -8*j**2 - 177651*j - 4070853?\nAnswer: -16*j - 177651","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-74953)\/(-11084) - (92\/16 - (6 - 1))) + -6.\nAnswer: 2\/163","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the first derivative of 43 - 5\/3*t**3 - 2*t**2 + 4*t. Let w(u) = -9*u**2 - 7*u + 7. What is 7*r(n) - 4*w(n)?\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (118 + 79 + 23 + 26)*((-4 + 5 + 1)*(k - k - 2*k**3) + 5*k**3 - 4*k**3 - 3*k**3) to o*k**3 + y*k**2 + s*k + r and give o.\nAnswer: -1476","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6530*c - 6523*c - 546. Calculate the greatest common factor of c and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41610*j - 45391 = 39221*j for j.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + 10 + 3 - (3 + 6).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5342804 and 0.2.\nAnswer: 1068560.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 - 3. Let l = 3 + p. Let d = 0.1 - 1.1. Which is the second smallest value? (a) l (b) d (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 134 - 22211?\nAnswer: -22022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 p, and 1 o when three letters picked without replacement from {p: 8, o: 2, j: 2, w: 4, n: 4}?\nAnswer: 16\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from peperep. What is prob of sequence per?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 + 13656406011?\nAnswer: 13656406011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in j**3 - 10136 + 10136.\nAnswer: j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = 4*f - 1943 - 526, f = 4*z - 1971. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes after 3:14 PM?\nAnswer: 6:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.149 + -1.551. Let j = -7148868 - -7148869.6999956. Let n = j + c. Round n to 6 dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 2 i when three letters picked without replacement from {r: 2, q: 2, c: 1, f: 4, i: 6, b: 3}?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wr when two letters picked without replacement from {r: 4, l: 3, w: 2}.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (20398\/93)\/(2 - 10\/6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.048822 times -12\nAnswer: -0.585864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 147818 to the nearest integer?\nAnswer: 384","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:04 PM and 9:45 PM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rccrrrigigrirgrir. Give prob of picking 2 g.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -220 + 187.5. Let h = b - -19.5. What is the nearest to 0 in h, -2\/9, -5\/4?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 8*r - 3. Suppose -4*z + 2 = -3*z. List the prime factors of i(z).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (36\/15)\/(1\/20). Let k be -10*(-3 - (-5)\/2). Suppose -36 = -x - a + k*a, 5*x - 157 = -3*a. What is the highest common factor of x and y?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 885*w**3 + 833*w**3 + 885*w**3 - 2601*w**3.\nAnswer: 2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 - 4. Suppose 3*s = -4 - p. What is the units digit of (8\/10)\/(s\/(-20))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3238.\nAnswer: 2, 1619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**2 - 8*u + 8. Calculate g(4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 + (-3)\/((-6)\/5). Let y = -13472 - -13471. Which is the nearest to y? (a) w (b) -5 (c) 0.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -4*w + 24. Suppose 0 = -5*d + w*d - 8. Suppose 2*v + 6 = d*v. Solve 0 = v*r - 2 - 4 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 4*w = -3*k + 18, 0 = 3*k - 5*w + 22. Let u(i) = -5 - i**2 - 8 + k + 2*i**2 - i. What is the units digit of u(6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**3 - 12*c**2. Let m be f(-12). Let x = m - 1. Let a = x + 3. What is the lowest common multiple of a and 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12612 by -6.\nAnswer: 2102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 0) + (-4 - (6 - 10)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mvlmv. Give prob of picking 2 m.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 14 = 2*a. Let m = -4 + a. Let r(f) = -f - 2. Let c(u) = 2*u + 5. Let q(i) = -3*c(i) - 7*r(i). Calculate q(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from klljmjkkjwuuwuk. Give prob of picking 3 u and 1 m.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(1715))\/(sqrt(7) + sqrt(63)*-1 + sqrt(63)))**2.\nAnswer: 980","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w. Let k(b) = 2*b**2 - 4*b - 2. Let q be (-6)\/(-9) + (-2)\/(-6). Let d(g) = q*k(g) + 4*x(g). Find the first derivative of d(t) wrt t.\nAnswer: 4*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + n = -10, -1 = -2*x - 3*n + 13. Suppose 2 = 2*c - 4*c. What is the lowest common multiple of x and c\/(0 + (-3)\/3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 - (23 + -54 - -21).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -34 - -30. Is 4 - (y + (-1281 - 2)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.09, -16, 5, -3.\nAnswer: -16, -3, -0.09, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 694254 - 124245 = 3*i. Let w be 2*i + -4 + 3. Suppose 0*t - w = -y + t, -1899990 = -5*y - 2*t. What is y rounded to the nearest ten thousand?\nAnswer: 380000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 555 (base 8) in base 12?\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.07 + -0.29. Let n = -0.02 - u. Let i = -0.1 + -0.2. Put -0.1, i, n in ascending order.\nAnswer: i, -0.1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:30 PM and 9:01 PM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*l**3 - 6*l**3 + 4*l**3 + 7*l**3.\nAnswer: 8*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(192)*1 + 2 - (sqrt(192) - (sqrt(192) + 2)*-5) - -4*(3 + 0 + sqrt(147) + -4).\nAnswer: -12*sqrt(3) - 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2871099 is divided by 121.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -10\/693 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -13512 - 1?\nAnswer: -13513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0736625 to two decimal places.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -677 + 753. What is the least common multiple of i and 42?\nAnswer: 1596","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4064\/(-381))\/(2\/3 - 1). Suppose -n + 3 = 0, -28*n + g*n = -3*a + 30. Solve 9 = -a*s - 9 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -781*y - 10141 = 51*y + 44771 for y.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -7*r**4 + 9*r**2 + 260?\nAnswer: -28*r**3 + 18*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 977 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -189 - 53. Let v = 251 + h. Which is the second biggest value? (a) -3 (b) v (c) 2\/27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 4100106661?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 50*g**3 - g**2 + g. Let y be k(1). Suppose -2*b = 3*j + 49, j + 2*b = -15 + 4. Let i = y + j. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18142 and 94.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 4*x**2 - 3*x - 36. Let g be f(8). Let b = 199 - g. Calculate the highest common divisor of 8 and b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 2\/331, 17\/450, -2?\nAnswer: 17\/450","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2198759 to the nearest integer?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 2 = 4*z, -5*z + 5 = -y + 2. Let b(o) = o**3 + o - 1. Suppose 56 = 8*t - 16. Let a(c) = c**2 + 12*c - 2 - 4*c - t*c + 5. Calculate z*a(i) + 3*b(i).\nAnswer: 3*i**3 + i**2 + 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*g - 1057 = -17*g. What is the tens digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -253*r = -111*r - 1846. Let m(d) = -d**2 - 5*d + 8. Let x be m(-6). What is the third derivative of -w**2 + 6*w**2 + 8*w**x + 21*w**4 + r*w**2 wrt w?\nAnswer: 504*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 28\/(-21)*(-36)\/96*-22\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 - 9\/((-81)\/(-126)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 540*y - 1409*y + 3851*y + 5611*y as l*y + k and give l.\nAnswer: 8593","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -58, 2, -9\/5, 1?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**2 + 597*j + 7199. Calculate f(-12).\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -29*j + 4. Is d(-5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -23*n**2 - 59*n. Let d(i) = 4*i**2 + 10*i. Give -34*d(k) - 6*m(k).\nAnswer: 2*k**2 + 14*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 3150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6966 and 3159.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -142 + 81. Let g = 66 + s. Let d(h) = -12*h**2 + g*h - 3*h - 3*h. What is d(1)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 + 10204942\nAnswer: 10204942.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 2*p**2 + 8*p - 29. Let x be (-289)\/(-51) + (2 - 10\/6). Is 33 a factor of f(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (71\/((-2769)\/(-468)))\/((-3)\/((-6)\/(-4))).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(1\/2))**(9\/4)*w**3\/w**(2\/5)*w**(-2\/5)\/w*w\/(w\/(w**(-4)\/w*w))*w*w*(w**(-1\/3))**37 assuming w is positive.\nAnswer: w**(-1441\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -212222 + 1010?\nAnswer: -211212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 94210?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -202 + 197. Suppose -2*q = 3 - 1. Put 4, o, q in increasing order.\nAnswer: o, q, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*c - 18*c + 3 - 3 + 5*c.\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oer when three letters picked without replacement from oppeprppppoeoroeo?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21501*u + 557*u**3 - 555*u**3 + 10410*u to p*u + j*u**2 + h + k*u**3 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 1957*y + 18. What are the prime factors of t(1)?\nAnswer: 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -20, 0.039, 111?\nAnswer: 111","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -147, -5, -1, -3.\nAnswer: -147, -5, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 3*g - 4, g - 921 = -4*c. Suppose -2*f = -199 - c. What are the prime factors of f?\nAnswer: 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 4451*w + 68. Let z(j) = 4454*j + 57. Give 5*a(v) - 6*z(v).\nAnswer: -4469*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 385 in 8, -0.1, 4, -0.029, -0.5?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.56 minus 0.395?\nAnswer: -5.955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -92.4+0.04\nAnswer: -92.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 16*u + 16. Let v(k) = -3*k - 3. Let n(s) = -2*h(s) - 11*v(s). Let g be n(3). Let f(p) = -p**3 + 5*p**2 - 4*p - 5. What is f(g)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -61b95 + 1?\nAnswer: -61b94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -159 = 17*s - 23 for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 112 - 84. Calculate the remainder when t is divided by 20.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8410402 divided by -286?\nAnswer: 29407","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Suppose y - b = -3, -2*b = -y + 2*y + 6. Let c(k) = 22*k + 157. What is the remainder when c(y) is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-three eighths of a day in hours?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -4*g. Let n be c(1). Let j be (-25)\/n + 2\/(-8). Suppose 72 = j*y - 66. What are the prime factors of y?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 10*t**3 - t**2 + 1. Let o be l(-1). Let v = 19 + o. What is the remainder when 33 is divided by v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -143 or -140?\nAnswer: -140","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/80 and -31\/46?\nAnswer: 1840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1))**15*(i**0)**(-1\/4) assuming i is positive.\nAnswer: i**(-15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 6*r = 90. Suppose -3 = -l - 5*x - 8, 2*l + 2*x = -r. Let d = -47\/102 - 2\/51. What is the closest to -2 in d, -2, l?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 45*(-22)\/66*2\/(-6)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**3 + 2*t**2 - 3*t + 4. Let v(o) = 19*o + 60. Suppose -5*r - c = -3*r + 6, c = 0. Let u be v(r). Give q(u).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 19 - 13. Let r(y) = -n*y**2 + 5*y**2 + 2*y**2. Let t(u) = 12*u + 3*u - 16*u + 8*u. Determine r(t(w)).\nAnswer: 49*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11881 or 12137?\nAnswer: 11881","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 47 or 129\/15392?\nAnswer: 47","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 30382197.86000133 + -30382183.06. Let y = 14.8 - c. What is y rounded to seven dps?\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 17*a - 1. Let n be o(-2). Let p be ((-5)\/(-3))\/(n\/(-126)). Solve -4*w - p = 5*i, 3*w + 2*i + i + 6 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 6b + -7?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*n - 9*n - 11. What is the units digit of (4466\/(-12))\/n + 2\/12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*f + 12*f + f + f.\nAnswer: 22*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1478 - -1471. Sort 0.1, -1\/25, p in ascending order.\nAnswer: p, -1\/25, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 158965 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2508247739 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 206 - 164. Let a = c - 6. What is the highest common factor of 30 and a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 270 and 175025.\nAnswer: 9451350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 0, -s - 248 = -5*w - 98. Suppose 0 = 5*l - w. Solve 3*c = 2*j - l, 3 = 2*j + 5*c - 3 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4990946*j**3*r**2 - 12*j**2*r**2 - 3*j**2*r + 143*j*r + 7*r**2 wrt j.\nAnswer: -29945676*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3646076 by 661.\nAnswer: -5516","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(684)*1*1 + sqrt(684) + -1*sqrt(684) + 2)**2 + 3*(sqrt(475) + sqrt(475) + -1 + sqrt(475))*5.\nAnswer: 673 + 249*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 6478*d. Let p(f) = 4 + 14 - 18 + 0*f - 2*f. Give p(r(a)).\nAnswer: -12956*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:49 PM and 10:44 AM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4949*u + 2531*u + 2534*u - 8816 = 0 for u.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*-2 - 470\/(-188)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 81*i - 296*i + 35*i + 77*i + 88*i + 2.\nAnswer: -15*i + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11 - (47 + -13)) + (1 - -12).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 64*c + 370 - 883 - 778 - 181 for c.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**3 + 8*r**2 + 9*r + 2. Calculate the smallest common multiple of 2 and y(9).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y + 56 = 9*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bn when two letters picked without replacement from nbnnnbbnbn.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.047499 milligrams in kilograms?\nAnswer: 0.000000047499","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(275) - (0 + -2 + sqrt(275) + sqrt(275) - sqrt(275))) + -3)**2 + (sqrt(88)\/sqrt(8)*6 - sqrt(88)\/sqrt(648)).\nAnswer: 1 + 53*sqrt(11)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -22*f**2*n**2 + 4*f**2*n - 118*f**2 + f + 149*n**2 wrt n?\nAnswer: -44*f**2 + 298","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = h - 4 - 17, -5*h - 3*f = 10. Let r(v) = -36*v**3 - v**2. Let s be r(h). Let z = s + 356. What is the greatest common factor of z and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 907*t - 907*t + 69*t**2.\nAnswer: 69*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 9225178 or 9225173?\nAnswer: 9225178","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(1\/4))**(-1\/10)*(m*m\/(m\/m**(-10)))\/m**(2\/27))**13 assuming m is positive.\nAnswer: m**(-127751\/1080)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.88 + -0.9. Which is the nearest to -0.1? (a) -5 (b) g (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/(-2 - (-9)\/4). Suppose p = s*p - 54. What are the prime factors of p?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 + ((-3)\/3 - -1). Let t be (8\/(-20))\/(f\/10). Let h(d) = d**2 - 11*d + 5. Let n be h(10). Which is the smallest value? (a) n (b) t (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3857?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 2\/13, -11, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -2*m. Let d(f) = 10*f - 1. Let y(h) = d(h) + 3*p(h). Let o(s) = -s**2. What is y(o(i))?\nAnswer: -4*i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 7546429 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -44 + 39. Let v(o) = o**2 + 3*o + 7. Determine v(d).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2048 divided by 4?\nAnswer: -512","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 4 = -3*q. Let y be (6\/(-4) + 2)*10. Suppose q*f - 2*g + 5*g = 102, f - 30 = -y*g. Calculate the remainder when f is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(1\/19)\/a)\/(a**(-9)\/a)*(a*a**(-10)\/a)\/((a\/a**(-17))\/a) assuming a is positive.\nAnswer: a**(-341\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 195 - 219 = 4*j. Let r be (-12 + 9)\/(9\/j). Solve 0 = r*x - x - 1 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 2*z**2 - 80*z - 170. Let u be q(42). Let x(w) be the second derivative of w**3\/6 - w**2\/2 + w. Let h(l) = -3 + 3 - l + 0. Determine u*h(m) - x(m).\nAnswer: m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -96, -391, -882, -1569, -2452, -3531?\nAnswer: -4806","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -3*k + 8. Let x be i(2). Let n = x - -28. Solve 28 = -3*o - 4*c - c, n = -5*o - 5*c for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ypd when three letters picked without replacement from dypypdyy.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -262*d**2 - 250*d**2 + 26*d - 264*d**2 + 762*d**2.\nAnswer: -14*d**2 + 26*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*(p\/(p\/p**(4\/5)))\/p*p)\/p**(-2\/23))**(11\/5) assuming p is positive.\nAnswer: p**(2387\/575)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*m - 112 + 2*m + 111)*(-24 + 112 + 1076*m - 1078*m).\nAnswer: -20*m**2 + 882*m - 88","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t**3 - 7*t**3 + t**3)*(21*t + 25*t + 3 - 42*t).\nAnswer: -20*t**4 - 15*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o. Let t(b) = 5*b - 3. Let w(g) = -4*n(g) + t(g). What is the lowest common multiple of w(5) and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -33, 424, 1109, 2028, 3187, 4592, 6249?\nAnswer: 8164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -2*q - 5, 3*q + 5*b - 3 = -13. Suppose -q*o - i = -5, 0 = o + 4*i - 6*i + 10. Solve o = 21*z - 26*z + 15 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 32 - -303100?\nAnswer: 303132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + 1 + 2 - -10?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -2*q**2 - 32*q + 1. Give t(-13).\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3451 divided by 17?\nAnswer: -203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -650*s**6 + 689*s**2?\nAnswer: -78000*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-8)\/(-5)*20\/8. Suppose 2 = 2*w - i. Solve 4*y + 2*g = 0, -5*y + g - w*g + 1 = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**3 - 118*q**2 + 112*q + 232.\nAnswer: 2*(q - 58)*(q - 2)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**3 - m**2 + 1. Let g be s(2). Let w(n) = -6 - g*n + 0 + 2*n. List the prime factors of w(-6).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*-1*sqrt(16))\/(sqrt(64)\/(sqrt(24)\/sqrt(3))) + (sqrt(720)*1)\/(sqrt(120)\/(sqrt(36)\/sqrt(3)) + sqrt(10)))*-3)**2.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -75*o**2 - 66. Let x(v) = -3*v**2 - 165 + 41*v**2 + 198. Let h(y) = 4*k(y) + 7*x(y). Find the first derivative of h(c) wrt c.\nAnswer: -68*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the third derivative of -17*v**6\/60 + v**5\/60 + 3*v**4\/8 + 3*v**3\/2 + 38*v**2. List the prime factors of s(-2).\nAnswer: 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 126183.8 + -0.4.\nAnswer: 126183.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-58)\/13 + -3 + (-495)\/(-143).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22302263 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*n - 2. Let y = -894.8 + 895. What is the third biggest value in n, 0.1, y?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -9954\/19 (b) 0.4 (c) 9 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 118320790?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n + 1046 = -1396. Let i = -184 - n. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of -130*(-5 + 27\/6)\/1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r**(-2\/11))\/r)**18)**(20\/7) assuming r is positive.\nAnswer: r**(-720\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 616 and 77.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/25 of a litre?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2166 divided by 3.\nAnswer: 722","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 2*g + 10. Let z(o) = -4*o - 11. Calculate 4*a(b) + 3*z(b).\nAnswer: -4*b + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**2 - 22*f + 30. Let w be n(22). What is the common denominator of -31 + w - (-32)\/3 and 45\/134?\nAnswer: 402","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (29 + -49)\/(2*(-2)\/6). Suppose i = -4*n + 1, -3*i + 2*n + 1 = -j. Solve -16 = -i*o + 11 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.3 - -0.1. Let z = d + 0.4. Let y = -77 + 79. Is z not equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 7760, 7622, 7472, 7304, 7112?\n\"Answer: -i**3 - 131*i + 7892","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from pppppppppp.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 55 and 6?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 7 = -d. Suppose 0 = -5*g + 2*i + 409, -2*i = 5*g + 3*i - 395. Let v = g - 35. Calculate the remainder when v is divided by d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k*(k**(-1\/3)\/k*k)\/k))\/k)**(4\/3)*(k\/(k*k\/(k\/(k\/(k\/(k*k**(-2\/5)*k))*k))))\/((k\/k**(6\/7))\/k) assuming k is positive.\nAnswer: k**(-409\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2\/5))**(-28\/3)*((n*n\/n**(-6)*n)\/n)\/n**(-6) assuming n is positive.\nAnswer: n**(266\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-18)\/(-5) - 2\/(-5). Suppose a + 15 = -4*a. Let w = a + s. Solve -v - 2 = w for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*f - 3*f - 18. Let a = 3 + f. Is 9 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -412*w - 147*w - 1031*w + 5103 with respect to w.\nAnswer: -1590","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**2 + 8*y + 10. Let w be i(-8). Let x = -11 + w. Are x and -1\/8 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (20\/(220\/803) - -26) + -19?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 32, 28, 22, 14, 4, -8?\n\"Answer: -r**2 - r + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, x: 6, o: 4, s: 1, z: 4}. Give prob of picking 1 z and 1 s.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Do 8 and 2699\/397 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1033658317 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1368 and 19485.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*k**4 - k**5 - 4*k**4 + k**5 + 2*k**5 - 2*k**5 + (2*k**3 + 0*k**2 + 0*k**2)*(-k + k - 2*k**2).\nAnswer: -4*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) 4 (c) 0.14 (d) 5\/2 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, g: 18}. What is prob of picking 3 g and 1 s?\nAnswer: 32\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**3\/3 - 2537*i**2\/3 - 142870*i.\nAnswer: -i*(i + 182)*(i + 2355)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 790961 is divided by 87883?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 421, 7498, 26689, 64048, 125629, 217486?\n\"Answer: 1009*q**3 + 3*q**2 + 5*q - 596","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*a - 13600 = -43*a. Is a a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -7*k**3 + 2*k**2 - 5*k + 4. Let w be p(-3). Let l = 82 - w. List the prime factors of l\/60*(-100)\/6.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 - -5. Let k = 1.3 - n. What is the third biggest value in k, -0.2, -2\/13?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 18345.8436 to 0 decimal places.\nAnswer: 18346","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -1 - 1 + 7*z**2 - 1 - z**3 - 2*z - z. What is the remainder when r(6) is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pbb when three letters picked without replacement from bpbbbbbbbbpbbppp?\nAnswer: 55\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1125*s**3 - 1152*s**3 - 1506*s**3 + 4721*s**3.\nAnswer: 938*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3, -299, 15, 1400, -5, 12.\nAnswer: -299, -5, -3, -1, 12, 15, 1400","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 2*c - 13. Let x(j) be the second derivative of j**3\/6 + j**2\/2 + 1862*j - 3. Let b(q) = -q**2 + 9*q + 8. Give c*x(h) - b(h).\nAnswer: h**2 - 3*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + 4)*(-3 + 12 + 0)*(3*x - 5*x + x).\nAnswer: -36*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14*a**3*h**3 - 324*a**3*h**2 - 2*a**3*h - 2*a**3 + 2*h + 321 wrt h.\nAnswer: 84*a**3*h - 648*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k\/(k\/(k**(3\/4)\/k*k))*k**(-2\/13)\/k*k**(-2\/23)\/(k**0*k*k))\/(k**(-8\/9))**(5\/3) assuming k is positive.\nAnswer: k**(-301\/32292)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -6*i**2 + 25*i + 14. Let a(n) = -3*n**2 + 13*n + 8. Calculate 5*a(v) - 3*f(v).\nAnswer: 3*v**2 - 10*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -191*t - 3. Let v(m) = -4*m. Give v(f(q)).\nAnswer: 764*q + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**2 - 307*d + 755.\nAnswer: (d - 151)*(2*d - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 2*b - 7. Let w(n) = n**3 + 24*n**2 + 127*n - 23. Let m be w(-16). Give y(m).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(5*(sqrt(152) + (sqrt(152) + sqrt(152) + sqrt(152)*-2 + sqrt(152))*-3))\/(sqrt(968) + (sqrt(968) - (sqrt(968) + sqrt(968)*-1)*-1 - sqrt(968))).\nAnswer: -60*sqrt(19)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 44.6105 to one decimal place.\nAnswer: 44.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + -50 + (-7040)\/(-198).\nAnswer: -22\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*f - 10*f + 10. Let j(k) = -6 - 6*k + f*k - 9*k + 3*k**2 + 14. Is j(7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 87 - 73. Suppose -19*z + 18*z = -x. What is the remainder when 52 is divided by z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/8*(-21 + 13).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 17 = -4*b + 9, 4*x - 4*b = -24. Let g = x + 2. Suppose -3*l = -2*s + 105 + 11, 2*s + 5*l - 100 = g. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/366*((-162)\/297)\/(96\/132)?\nAnswer: 1\/61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 2 h when four letters picked without replacement from {n: 1, a: 1, g: 4, h: 5, e: 1}?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 26787, 107196, 241213, 428838, 670071, 964912?\n\"Answer: 26804*u**2 - 3*u - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 896 and 500?\nAnswer: 112000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) -2 (c) 2.82 (d) -6\/5 (e) 0.4 (f) 37\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1079060 - -5?\nAnswer: -1079055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 15) in base 4?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**3 - f**2 + f + 1. Let b(i) = -4*i**3 - 5*i + 2. Let k(p) = -b(p) - 5*l(p). Calculate k(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3925 in 0.4, -1, -0.5, -0.2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.54, 2, -14, 0.3, -3, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2643270 and 42.\nAnswer: 2643270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o + o - 12. Suppose 5*d + 36 = -o*w, 3*d - 3*w + 7 + 20 = 0. Is 5 a factor of (-2)\/8 - 82\/d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-180)\/100)\/(3\/(-32)). Let -j*k - 2\/5*k**3 + 26\/5*k**2 + 72\/5 = 0. What is k?\nAnswer: 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -2 - 2. Let d be ((-747)\/2)\/((-4)\/8). Is (8\/6)\/(v - (-1500)\/d) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*j**4 + 32*j**3 - 176*j**2 + 192*j.\nAnswer: 4*j*(j - 2)**2*(j + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5612 + 5616. What is the nearest to k in -5\/2, 0.08, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t - 62 + 61. Sort -2, -4, 5, t in ascending order.\nAnswer: -4, -2, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1743 - -4.38?\nAnswer: 1747.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.6 + -2.6. Let f = g - -1.99989. What is f rounded to five dps?\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43866684?\nAnswer: 2, 3, 135391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -22306 - -22926. Calculate the highest common factor of 6324 and t.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7449880 rounded to the nearest 10000?\nAnswer: -7450000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52250 = -21*f - 4*f. Let b = 137945\/66 + f. Which is greater: 0 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 17460 and 102773052.\nAnswer: 513865260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 p, and 1 g when three letters picked without replacement from {t: 4, m: 2, h: 1, p: 3, g: 4, q: 1}?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fifteen quarters of a year?\nAnswer: 45","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1287.5 grams in micrograms?\nAnswer: 1287500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -146*s + 14*s**3 + 146*s + (-2 - 2*s**2 + 2)*(21*s - 4*s + 6*s).\nAnswer: -32*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 92372986 to the nearest integer?\nAnswer: 452","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*(o\/(o\/o**20))\/o)\/o**16)**(-1\/23) assuming o is positive.\nAnswer: o**(-4\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-1 - 2)\/(-21))\/1. Let l be -1 - 2\/4*-2. Let o be -2 - (l - -2*1). Which is the second biggest value? (a) -5 (b) s (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 + 2\/2 + -6. Let g(z) = -2*z - 8. What is the units digit of g(d)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x = -4*x - 54. Calculate the highest common factor of x and 162.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 7*b + 11. Let x(o) = 2*o + 3. Let t = -74 + 134. Let z be 15\/t + 23\/4. Give z*p(i) - 22*x(i).\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 28, -4 in decreasing order.\nAnswer: 28, 5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*x - x + 5 - 7 + 2.\nAnswer: 6*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 389687 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/36 and -8\/105?\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that 4*h**2\/7 - 36784*h - 257492\/7 = 0.\nAnswer: -1, 64373","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-3))\/((-3*20\/285)\/2)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10551004 (base 6) to base 8.\nAnswer: 1173614","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13468 and 1249808.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 903 and 3311.\nAnswer: 9933","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6 + 7 - 2*j**3 + 0 - j**2 + 3*j**3 - j**3 - 4*j**3 + (-j**3 + 2*j - 2*j)*(3 - 4 + 0) - 13*j**3 - 9*j**3 + 5*j**3.\nAnswer: -20*j**3 - j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-26)\/(-6) + (-16)\/(-24). Suppose -p + g = 4, 1096 = x + 5*p. Suppose -833 - x = -4*y. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -227 minus -25?\nAnswer: -202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 3 - 5 + 2*x**3 - 3*x + 3*x. Let j(i) = -i**3 - 6 + 5*i**3 + 1. Determine -3*j(a) + 7*o(a).\nAnswer: 2*a**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 5, e: 1, s: 3, j: 7, f: 2}. What is prob of picking 1 j and 2 c?\nAnswer: 35\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.80446 + 0.14676. Round t to two dps.\nAnswer: -1.66","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.069 and 26.\nAnswer: 26.069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.55 + -16914903650.004.\nAnswer: -16914903649.454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 869.2323m in millimeters?\nAnswer: 869232.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34731340.\nAnswer: 2, 5, 7, 17, 14593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the first derivative of 0*r**2 + 19 + 0*r**3 + 0*r - r**5 - 15\/4*r**4. Solve i(k) = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 30484 - 30486. What is the closest to 3\/2083 in 2, -3\/2, r?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*x = 15*x - 180. What is the remainder when 2\/(-6) - 424\/(-3) is divided by x?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.0248 in 0.07, 6, -2?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the third derivative of p**11\/582120 - p**10\/132300 + p**9\/105840 - p**5\/5 - 31*p**2. Let y(w) be the third derivative of t(w). Solve y(h) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 2*n**3 + 73*n**2 - 35*n + 108. Suppose -4*m + 48 = -m. Calculate the lowest common multiple of m and a(-37).\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -345694546*j**2 + 262931*j - 433 wrt j?\nAnswer: -691389092","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -202 + -20?\nAnswer: -222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -2*x**2. Let n(t) = t**2 + t - 1. Suppose y + 4*y - g + 3 = 0, 0 = 3*g + 6. Let z(f) = -16*f**2 - 5*f + 5. Let v(j) = y*z(j) - 5*n(j). Give i(v(m)).\nAnswer: -242*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 193*i - 147*i - 51888. What is the highest common factor of i and 72?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 228822210 to the nearest integer?\nAnswer: 15127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 7*l - 43760. Round l to the nearest one thousand.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2325 a factor of 52963500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -218639 - 8821.73754?\nAnswer: -227460.73754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3 - 3*(0 + -2). Let y = 0 - 0. Sort 5, w, y.\nAnswer: y, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 2 r, and 1 i when four letters picked without replacement from {l: 2, n: 1, i: 1, r: 2}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 110073971 to the power of 1\/3, to the nearest integer?\nAnswer: 479","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0.2, -38541, -1\/2, 2 in decreasing order.\nAnswer: 2, 0.2, -1\/2, -3, -38541","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2116719?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1146, -6, -0.1, -0.06, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4001*b**6 + 3485*b**3*g + 868046*b**2*g - 2*b*g + b wrt b?\nAnswer: -480120*b**3 + 20910*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 181555?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2327 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(272) + -3*(sqrt(272) + 2)**2 + 2 - (-3 + (1*sqrt(34))\/sqrt(2))*-6.\nAnswer: -844 - 38*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35 + 0*l**2 + 42 - 72 - 5 - 8*l**2.\nAnswer: -8*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 1040710?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dla when three letters picked without replacement from daral?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2521 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 times 2.4?\nAnswer: -26.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -2, -0.15, -3, 838?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 13, -3, -17, -29, -39, -47?\n\"Answer: y**2 - 19*y + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -354 (b) 0 (c) -10 (d) -2 (e) -0.06 (f) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -16281*y**2 + 24*y + 47. Let d be z(-2). Let a = d - -5079625\/78. Find the common denominator of a and 1\/(-2) + 81\/(-16).\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10748 divided by -2?\nAnswer: 5374","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*(44 + 109225\/(-2142) + 1*7).\nAnswer: -2\/63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*f - 4*f + 4. Let a(b) = -12*b - 4. Let t be a(f). Suppose 3*q - q = -4, -t = -2*v + 3*q. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -28.4419 to the nearest integer.\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10335 is divided by 44?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 30988843?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 53341 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 28.18 + -28.2384. What is o rounded to two dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -2*o + 2. Let l(f) = 9*f - 9. Let q(h) = -5*l(h) - 24*n(h). Is q(2) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1220066 and 27968?\nAnswer: 897968576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**2 - 10*p + 4. Let f be a(6). Let o = f + 31. What is the highest common divisor of o and 121?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 34398 and 375.\nAnswer: 4299750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 15*r**5 - 2*r**4 - 834*r**3 - 49*r**2 - 236*r - 3 wrt r.\nAnswer: 900*r**2 - 48*r - 5004","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -980.7032 + -28939.\nAnswer: -29919.7032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10330023 + -13410?\nAnswer: -10343433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*1*(30\/(-6))\/10?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 11 = -3*z, -4*m - 1 = 3*z. Suppose 0 = -5*s + 7*g - 3*g - 19, 2*s + 4 = -m*g. Put 1, 4, s, 9 in increasing order.\nAnswer: s, 1, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**3 + 6*k**2 - 7*k - 1. Let c be (-4)\/14 - 47\/7. Let y be i(c). Are y and 4 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 215786 or 215788?\nAnswer: 215788","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5761234 - 613.\nAnswer: -5761847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the second derivative of -x**5\/20 - 3*x**4\/4 - 3*x**3\/2 + 7*x**2 + x. Let q be y(-6). Let f = 23 - q. What are the prime factors of f?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 174921?\nAnswer: 3, 199, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the second derivative of -w**6\/20 + 5*w**5\/24 - w**3\/3 - 2*w. Let g(b) be the second derivative of t(b). Find the second derivative of g(p) wrt p.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -12*g**3 - 209*g**2 + 1422*g + 25619 = 0.\nAnswer: -17, -137\/12, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 200 + 61013?\nAnswer: 61213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.5, 2\/7, 68, 2\/5?\nAnswer: 68","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/6 in 1\/11, -5\/3, 6, 3\/16208, -4, 3?\nAnswer: 3\/16208","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 894*k**2 + 6*k. Let d(t) = 3575*t**2 + 25*t. Let y(l) = -4*d(l) + 15*r(l). Let s be y(16). Round s to the nearest ten thousand.\nAnswer: -230000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2)*l*l**6)**(9\/10)*(l**(-1))**(-6\/31)*(l*l*l\/(((l\/(l*(l**(2\/7)\/l)\/l*l))\/l)\/l*l)*l*l)\/(l\/(l\/l**(-2\/13))) assuming l is positive.\nAnswer: l**(57171\/5642)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes after 2:32 PM?\nAnswer: 5:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7681 in -3\/5, 6, -2, 2\/5, 2\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 + 0 + (0 - 4). Let r = h + 17. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5696\/735 - -22\/147. Find the common denominator of (24\/(-120))\/(404\/410 - 1) and b.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**3 + 39*y - y**2 - 83*y + 43*y + 4. Determine q(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 45788*q. Let f(p) = -863*p**2 - p. Determine f(v(d)).\nAnswer: -1809314834672*d**2 - 45788*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(133) - (-2*sqrt(133) - sqrt(133))*-4)*-4)\/((sqrt(539)\/(sqrt(22)\/sqrt(2)))\/sqrt(7)*1).\nAnswer: -264*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 100 + -97. Let r be (2\/(-18))\/(-1*d\/6). Sort r, 1\/4, 3, 2.7.\nAnswer: r, 1\/4, 2.7, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 203048.\nAnswer: 2, 17, 1493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**3 - 6*p**2 + 121*p + 126.\nAnswer: -(p - 9)*(p + 1)*(p + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 245699?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**2 - 3*o + 13. Let z be t(0). Differentiate 41*g**3 - z*g**3 - 3 + 27 with respect to g.\nAnswer: 84*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 - -33?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4035 + -122030?\nAnswer: -113551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(704)*-1 + 2)*6 - (0 + (6*(sqrt(275) + 0))**2).\nAnswer: -9888 - 48*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27.00634um to centimeters.\nAnswer: 0.002700634","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 61*n - 577. Let x be z(11). Is 1\/4 > x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-4\/7)*n**(4\/15))\/((n\/(n**17*n))\/(n**(-1\/13)\/n)) assuming n is positive.\nAnswer: n**(21319\/1365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s = -3*b + 21, -s + 3*b = 5*b - 10 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1\/20 of a meter?\nAnswer: 5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3906 and 464562.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 27 + -23. Suppose 6 = -g*m - 14. Which is the closest to -1\/7? (a) 5 (b) 4 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c*(c**(9\/2)*c)\/c)**49 assuming c is positive.\nAnswer: c**(637\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38\/95*40\/176.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + 11 - 9 - 2?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 0 = 9. Suppose -84 + 234 = d*u. Let c be (u\/40)\/(2\/8). Let p(i) = i**2 - 5*i - 5. What is p(c)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeeueqeeeeeeqeeeeeqe. What is prob of picking 3 e and 1 q?\nAnswer: 112\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + ((-27)\/15)\/(((-81)\/2430)\/((-5)\/(-45))).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -172 + 175. Let s = 0.3 + -0.8. Which is the closest to -1? (a) h (b) s (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 1 - 2 + (-3 + 3 - 2)*(3 - 4 - 1) + 1 + 1 + 1)*(r**2 - r**4 - r**2) as v*r**2 + i*r**3 + j*r + c + s*r**4 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3660\/(-42) - (-3)\/((-252)\/240)?\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3*((-16)\/6 + 2) - -32 is divided by 11\/((0 + -1)*-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 - -4. Let y be (-4)\/10 - (-634)\/10. Suppose y = j + 2*j. What is the remainder when j is divided by u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10337 = 12*j - 10577. Calculate the remainder when 1294 is divided by j.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (-3)\/3 + 8\/5.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 + 1. Let p = a + 1. What is the remainder when p\/3 + (0 - -22) is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h + h**2 + h)*(1 + 1 + 9)*(-2*h**2 + 141*h**3 - 2 + 57*h**3 - 265*h**3).\nAnswer: -737*h**5 - 22*h**4 - 22*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 501 + -499. Let a(c) = -2*c - 1. Let x be a(-2). Let y = 3 + 2. Solve 5*m = x*h - y, 3*h = m - l*m + 17 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8985?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1784.416 nanometers in millimeters?\nAnswer: 0.001784416","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 g when four letters picked without replacement from {g: 6, f: 1, e: 10}.\nAnswer: 3\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 951.7267 millennia to decades.\nAnswer: 95172.67","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 + (-18 - (-21 - 10)))*(-5 - 4045\/(-810))?\nAnswer: -2\/81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -2*q + 308, -10*q + 12*q - 3*o = 307. Let c = 164 - q. Let i be 5\/30 - 2\/(-6). Is c equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5*(-363)\/(-55) - 2. Sort 0, w, -4, -5 in decreasing order.\nAnswer: w, 0, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -76 + 352. List the prime factors of s.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/19 smaller than 5544709?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 50179?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -6*t**3 + 4*t**2 + t - 4. Suppose 4*p = 10 - 6. Let q(r) = 30*r**2. Let u be q(1). Let h(l) = -30*l + p + u*l - l**2 + l**3. Calculate 4*h(o) + y(o).\nAnswer: -2*o**3 + o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12429573 and 2909049?\nAnswer: 136725303","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 6*x + 8*x + 0*x)*(x + 2*x - 2*x)*(0*x + 4*x - 3*x) to the form p + a*x**3 + g*x**2 + k*x and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 87\/4 of a week?\nAnswer: 3654","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*u - 3*k - 18, 5*u - 2*k + 2 = 23 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the second derivative of -u**6\/10 - 36*u**5\/5 + 99*u**4\/4 - 25*u**3 - 2014*u. Factor c(m).\nAnswer: -3*m*(m - 1)**2*(m + 50)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 1383732?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 + -4. Let w = -6 + 8. Solve -4*u = 5*s, u + s + w = q for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvovvmmvmm. What is prob of sequence ov?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12129436*r**5 - 13958254*r**2.\nAnswer: -727766160*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 2*m**2 + m - 1. Let d be b(-2). Let y be (d\/(-3))\/((-2)\/(-6)). Let s be (-36)\/(-10) + (-2)\/y. Calculate the highest common factor of s and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15, -457, -1889, -4761, -9553, -16745?\nAnswer: -26817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -37661*b**4 + 10*b**2 - b + 2170.\nAnswer: -903864*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**3 - 7*f**2 + 2*f + 8. Let x be z(-7). Let l be ((-16)\/6)\/(4\/x). Let m be (-1)\/4*-4 + l. Solve 0 = -3*i + 4*y + m, 3*y = 2*i - 0*i - 3 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 2) in base 13?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.09, 1\/6, -0.1, 23, -237, -1?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*d**3 - 3*d**3 + 3*d**3 + 22*d**3 + 26*d**3 + 14*d**3 + (5 + 3 - 3)*(d**3 + 2*d**3 - 2*d**3).\nAnswer: 65*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 4)*(0 - 8*r + 0)*(-1 - 10 - 25).\nAnswer: 1440*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((6 - -1) + -3 - 10) + -5 - -10) + 85?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -19055 + 19187. What is the highest common factor of 376 and q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -156 + 2. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*j + 35*j + 336 = 0. What is the greatest common factor of j and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 67 divided by 42\nAnswer: 67\/42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 266 (b) -2\/7 (c) 10 (d) -62\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.124*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 35610983 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*r + 48*r - 42*r**2 + 8 - 14 + 6.\nAnswer: -42*r**2 + 6*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 84287686481 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + 3160\/120 + -33.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1147\/3 - 12556\/33. Let i = 2\/11 - y. Calculate the common denominator of i and -121\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**2 - 6. Let c be y(-3). Suppose -t - c = -20. What is the remainder when t is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 120*l**2 - 63*l**2 - 66*l**2.\nAnswer: -9*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (47*v - 23*v - 33*v)*(1 + 0 - 3) as o + w*v and give w.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*c - 494013 + 494013.\nAnswer: 10*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*j + 25*j - 26*j**3 + 16*j - 52*j.\nAnswer: -26*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/5551 and -83\/58682?\nAnswer: 410774","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.06 + -3.06. Let d = -3\/85 - -1453\/2635. Let p = 1\/62 - d. Which is the biggest value? (a) -4 (b) h (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (152 - 74 + 43)*(-1 - q**3 + 1)*(2*q**2 + q**2 - 7*q**2).\nAnswer: 484*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u - u - u + 113. Let l be q(29). Solve 4*p + 6 - l = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 11 - 1 = 0. Let q be (-31)\/(-7) + d\/(-7). Let b(m) = m - 1. Let h(g) = -10*g + 1. Let x(a) = a + 1. Let v(k) = -h(k) - 3*x(k). Give q*b(p) - v(p).\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-1)\/(2\/83))\/(8\/(-16)). Is 82 < h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**29*t)\/t*t*(t\/(t\/t**10))\/t*((t*t**(2\/7)*t)\/t*t)**16)**(9\/10) assuming t is positive.\nAnswer: t**(4761\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 7) to base 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -139*a - 2091. Give s(-15).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -3*k - 7. Determine s(1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -24 - -22. What is the closest to 1\/3 in -0.1, l, -2\/7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**3 - 5*o**2 - 7*o. Let y be (15\/(-12) - -2)\/((-12)\/144). Let q(h) = h**2 + 4*h - 39. Let a be q(y). Give m(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 166738?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -20 - -32.3. Let r = c + -12.3000169. What is r rounded to 6 decimal places?\nAnswer: -0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5384 or -5388?\nAnswer: -5384","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -13*u**2 - u - 2. Let k be z(-2). Suppose 3*i - 7*i = 4*j + 320, 9 = -3*i. Let c = k - j. Solve -3*v - 2*v - c = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7.42 in -4, -2, 0.5, 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.6, -96\/5, 1401?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1188)\/(-243))\/((-60)\/90)?\nAnswer: -22\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-16)\/(-24) + (-1)\/((-60)\/533414). Let r = 8900 - w. What is the common denominator of r and -71\/2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4, -249 in ascending order.\nAnswer: -249, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qfzuyfq. Give prob of picking 1 f, 1 q, and 1 z.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 95020 is divided by 1068.\nAnswer: 1036","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 - -3 - 16\/4. Suppose -9*i + 12*i - 9 = o. Solve 2*s + 9 = w, -s - 5 = -i*w - 3 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 270, 0, 13, 1, -2, -7 in decreasing order.\nAnswer: 270, 13, 1, 0, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 61.2 - 57.2. Let n be (4\/(-10))\/((-6)\/(-10)). What is the smallest value in n, 0.4, a?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 1241 = -3*f + 7*f, -4*f - 3*a + 1265 = 0. Suppose 5*k - 2*h - f = 2*k, 4*h = k - 118. Does 34 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 607 a factor of 18284661?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1216 and 22268.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -46053*m**4 - 17040 wrt m.\nAnswer: -184212*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 - -6. Let q = i + 76. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -8*t**2 + 64*t - 26. Let m(w) = -3*w**2 + 23*w - 9. Let j(s) = -4*h(s) + 11*m(s). Calculate j(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1434)\/(-164193) + 1584\/28396\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-272*p**2 + 21154 - 21154)*(-3*p + 3*p + 2*p) as l + s*p**2 + n*p**3 + t*p and give n.\nAnswer: -544","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**2 - 8*o - 7. Let g be c(9). Let b(t) = -t - t**g + t. Let i(k) be the third derivative of k**5\/30 + k**2. What is i(b(v))?\nAnswer: 2*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 5*s = -9338, -5*s = 16 - 26. Does 53 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1702025?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y**2 - 3*y**2 + 6*y**2)*(15*y**2 + 10*y**2 - 6*y**2)*(-6 + 1 + 3).\nAnswer: -38*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u + 5*a - 11 = 2*a, -5*a + 31 = -3*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*k**2*r**3*x + k**2*r**3 - 4*k**2*r**2 + 17*k**2*x**2 + k*r + 51*r**3*x**2 + 2*r**2*x**2 wrt r.\nAnswer: -36*k**2*x + 6*k**2 + 306*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.271*-4\nAnswer: 1.084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 9, x: 2}. Give prob of sequence xxjj.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13156, 4, -13.\nAnswer: -13, 4, 13156","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xfgfyudx. What is prob of sequence yfx?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*o = -60*o + 280. Let s(w) be the second derivative of 0 + w**5 - 5\/3*w**3 + 25\/12*w**o - 15\/2*w**2 + 11*w. Factor s(y).\nAnswer: 5*(y + 1)**2*(4*y - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 23, 93, 213, 383?\n\"Answer: 25*r**2 - 5*r + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*m + m - 301916 + 301916 - 3*m.\nAnswer: -11*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhhp when four letters picked without replacement from hhphhphh?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -160397 times 0.2\nAnswer: -32079.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 2*c**3 + c**2 - 2*c + 1. Let q be o(1). Let l(x) = 0*x**2 + 3 - x**q + 4*x**2 + x**2. Is l(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1020 (base 3) to base 11\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 27.6 - 30. Let m = z - -2.4. Sort -1, 3, m in descending order.\nAnswer: 3, m, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l\/(l**(-25)*l)))\/(l*l*l*l**(-22\/7))*(((l**(-2\/51)\/l)\/l)\/l)\/l**(-33) assuming l is positive.\nAnswer: l**(2179\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -127, -298, -505, -766, -1099, -1522?\n\"Answer: -3*o**3 - 150*o + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -3*o + 8 + 15, 4*o - 2*m - 12 = 0. Find the second derivative of -w**2 - 2*w**3 + 7672 + 16*w**2 - 7674 + 10*w + o*w**3 wrt w.\nAnswer: 18*w + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -454*(1778\/2100)\/127\nAnswer: -2\/75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y - 33. Let v(b) = -1. Let j(l) = -k(l) + 5*v(l). Let r be j(-16). Does 11 divide (-248)\/(-3) + 4\/r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ksuuzsuzzkkuzks. Give prob of picking 2 u.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 19536?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + a + 0 + (-1 - 3 + 2)*(-4*a + 5*a + a) + 2*a - 1 + 1 - 1 + 1 - a + 0 + 0 - a + 51 - 51 + 9*a.\nAnswer: 6*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**2 - 96268568*m - 288805740.\nAnswer: 4*(m - 24067145)*(m + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1c873a + 28?\nAnswer: 1c8765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 3, -0.04, 6, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(8)\/(sqrt(32)\/sqrt(8)).\nAnswer: sqrt(2) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -13 + 23. Which is greater: 8 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 106*m**3 + 11*m**2 - 15*m. Let s(v) = -21*v**3 - 2*v**2 + 3*v. Give 2*k(l) + 11*s(l).\nAnswer: -19*l**3 + 3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -h**5 + 54144306*h**3 + 422*h**2 - 36507 wrt h.\nAnswer: -60*h**2 + 324865836","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10570 + -10570.2. Sort -2\/577, d, -4.\nAnswer: -4, d, -2\/577","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 192.5 - 192. What is the smallest value in i, -44, 0.2?\nAnswer: -44","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 173 in 4, 33, 3\/8?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 323344927 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10335 = 11*w + 2*w. Is w a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 987 + -597. Let t = m - 132. Suppose -5*y - t = -11*y. What is the remainder when y is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w - 13 - 2, -2*p + 3*w = -25. Let f = p - 6. Let u be (8\/(-20))\/(f\/(-5)). Is u greater than or equal to -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 7\/60 + (110\/(-75))\/(-11). Suppose n + 1\/4*m**4 + 3\/4*m - 1\/2*m**2 + 3\/4*m**5 - 3\/2*m**3 = 0. Calculate m.\nAnswer: -1, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -40*s + 1253 + 27307. Is 34 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-24)\/18)\/((-2)\/3). Let g be (-11)\/6 - t\/12. Sort g, 2, 1 in ascending order.\nAnswer: g, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 + 1a960?\nAnswer: 1a960","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -9617040 divided by 84360\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and -336091.8?\nAnswer: -1680459","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (28*b + 16*b - 13*b)*(152 + 99 - 198)*((1 + 2 - 1)*(-2 + 4 - 3) + 1 + 1 - 1).\nAnswer: -1643*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the first derivative of -113*v**4\/8 - v**3\/6 + 39*v**2\/2 + 18. Let u(i) be the second derivative of a(i). Is u(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*r + 5*r - 4*r - 10*r.\nAnswer: -12*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 2*p**2 - 4*p + 2. Is 9 a factor of m(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 3073012, 3073008, 3073002, 3072994, 3072984, 3072972?\n\"Answer: -i**2 - i + 3073014","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**3 - 5*q**2 + 6*q - 2. Calculate g(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**2\/6 + 21*u\/2 - 286\/3.\nAnswer: -(u - 52)*(u - 11)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 10202 (base 3) in base 16?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 2*x = -25. Let o be (94 + -4)*((-18)\/(-12) - -2). Suppose 180 + o = x*b. List the prime factors of b.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**3 - 9*p**2 - p + 13. Let v be -15*(1 + -3)\/2. Suppose -5*i = -q - 3*i + v, -33 = -3*q + 2*i. Let z be g(q). Solve -z*r = -r + 9 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m + 22. Let q = 10 + 0. What is the smallest common multiple of 14 and w(q)?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13209 - -33367. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -2*f - 2. Let n be y(-3). Suppose -25 = -n*c + 3. Let 3*p**3 + 2*p - 6*p - c*p**3 - 8*p**2 = 0. What is p?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77957835 to the power of 1\/2, to the nearest integer?\nAnswer: 8829","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -550 = 80*u + 764 + 446 for u.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -40, -2, 12\/13 in increasing order.\nAnswer: -40, -2, 12\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -30969, -245129, -826419, -1958403, -3824645, -6608709?\n\"Answer: -30594*o**3 - o**2 + o - 375","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand p**4 - 5*p**4 + p**4 - 2*p**2 + 2*p**2 - 6*p**4 + (-2*p**2 - 2*p**2 + 7*p**2)*(-10 - 6*p + 10)*(2*p + 0*p - 4*p).\nAnswer: 27*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -59122*u + 177318. What is i(3)?\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -16*g - 43. Determine b(-12).\nAnswer: 149","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2532826793 and -7.\nAnswer: 2532826786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = -n + 58. What is the remainder when 113 is divided by n?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -5 + -1 + 2 - 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7502687 to the power of 1\/3, to the nearest integer?\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0\/(-3)*(-3 + 4). Solve -2*j - 20 = -5*r, 8 = -c*r + 2*r - j for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}