diff --git "a/data/dm_maths/full_data/4711_11255.jsonl" "b/data/dm_maths/full_data/4711_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/4711_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Calculate the greatest common factor of 700436 and 88.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-56)\/(-7) + (-125)\/15\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-927)\/(-54) + -17)\/((-1)\/(-75090)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the third derivative of a**5\/330 + 695*a**4\/66 + 463*a**3\/11 + 11097*a**2. Factor v(s).\nAnswer: 2*(s + 1)*(s + 1389)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the second derivative of -q**4\/72 + 61*q**3\/36 - 5*q**2 - 637*q. Factor x(b).\nAnswer: -(b - 60)*(b - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s = -s + 28. Suppose -f = -v + 63, 0*f + 3*f = -s*v + 287. Does 34 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s + 1. Let w be 0\/(-2) - (-88)\/8. Suppose -1 = 5*r - w. Suppose 0 = -r*h - 13 + 5. What is y(h)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*l + 10 - 54 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qurrrruce. Give prob of picking 1 u, 1 r, and 1 q.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -208 divided by 13.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a decade in years?\nAnswer: 85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1, 13, 39, 77, 127, 189, 263?\nAnswer: 349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 56 = 4. What are the prime factors of 186\/o - (-6)\/(-15)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 439274?\nAnswer: 2, 11, 41, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 594063*k - 6193. Let y be g(11). What is y rounded to the nearest 100000?\nAnswer: 6500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 211100231230 (base 4) in base 7?\nAnswer: 146011342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l + 1318 + 423 = 66*o + 11*o - 4*l + l, -18*l + 15*l + 15 = 0 for o.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0\/(0 - -2 - 1). Suppose 4*w - d + 101 = y, w + 40 = -w + 4*d. Let z = -17 - w. Calculate the lowest common multiple of 2 and z.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qb when two letters picked without replacement from qpccpqabl?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2519.6 and -24997.9.\nAnswer: -27517.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t + 2*x + 37, -x = -5*t + 3*x + 215. Let q(k) = -3*k - 12*k**2 + 46*k**2 + t - 46. Is q(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 460992502?\nAnswer: 2, 17, 2027, 6689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3\/(-3)*-2 - -28?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 108 = -427*b + 378*b - 1656 for b.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 195118.\nAnswer: 2, 7, 11, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.96169 rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m - 5*m + 2*m)*(-1 + 1 - 2*m + (2 - 1 + 6)*(-71 + 71*m + 71)).\nAnswer: -990*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**2 + 7*l - 11. Let f be s(-9). Let d = 15 - f. Let x = -9 - -13. What is the highest common factor of d and x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.6 + -1. Let u = 0.07 - -0.63. Let g = -0.3 + u. Which is the second smallest value? (a) g (b) p (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -14, -38, -72, -110, -146, -174, -188?\n\"Answer: o**3 - 11*o**2 + 2*o - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -115*c - 370*c - 8 - 1 + 820*c to the form q*c + p and give p.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8832 divided by 88.\nAnswer: 1104\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -39 + 0 - (98 + -96 - (5 + 2))?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15 and 333735.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/202 and -91\/30154?\nAnswer: 3045554","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**2 - 11*c. Let r be d(12). Solve -r = p - 4*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -33 (b) 4 (c) -3\/4 (d) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 0*j**2 + 3 - j**2 - 6 + 0*j**2. Let b(m) be the first derivative of m**3 + 6*m + 5. Let n(c) = 5*a(c) + 2*b(c). Differentiate n(w) with respect to w.\nAnswer: 2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 498, 483, 368, 147, -186, -637, -1212?\nAnswer: -1917","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + p + 9 = 0, -5*l = -16*p + 11*p - 20. Solve -2*t - 6 = 2*n, 4*t - t - l*n = -1 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 23 by 1.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 m when four letters picked without replacement from mmnntnmnttnnnm?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes before 5:13 AM?\nAnswer: 7:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0.4, 6, 0.06 in ascending order.\nAnswer: 0.06, 0.4, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3207?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from {l: 1, d: 1, n: 1, e: 1, r: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (81\/(-21) + -7 + 8)\/((-6)\/63). Solve -5*f - 2*o = 5, 29*f + 3*o - 18 = x*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 228 and 6?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**3 + 6*z**2 + 5*z - 3. Suppose 0 = 8*r - 9*r - 4. What is g(r)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3655266 to the power of 1\/3, to the nearest integer?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 621126?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1008 or 474006?\nAnswer: 474006","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(160) - 1*sqrt(160)))\/sqrt(4))\/(4*(sqrt(8) + -2*sqrt(512) + sqrt(512))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 438*f + 17728 - 5231 = -240*f - 21403 for f.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 4 (b) 0.1 (c) -78785\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/(-2)*5\/10.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13023164 (base 7) to base 13.\nAnswer: -325271","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a century in months?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33227521 (base 8) to base 4.\nAnswer: 123102331101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 592*l - 500 = 642*l for l.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13685*r**2*y**2 + 102*r**2*y - 2*r**2 - 19*r + 9829*y**2 - 3 wrt r?\nAnswer: 27370*y**2 + 204*y - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**3 - z**2 + 7. Let f(n) = -87355094*n + 87355094*n - n**2 - 1. Calculate 2*f(p) + t(p).\nAnswer: p**3 - 3*p**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-6)*a)**(3\/19)*(a*a**(-1\/8))**43)**(-31) assuming a is positive.\nAnswer: a**(-173569\/152)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 plus 92314154.59?\nAnswer: 92314157.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-5 + 4 + (sqrt(931) - (1 + sqrt(931)))**2 + sqrt(931) + -4 + 0).\nAnswer: -7*sqrt(19) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 846592561 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) -0.07 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - 1 = -6*v + v, -5*s - 6 = 4*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 54918?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -533047 (base 10) in base 4?\nAnswer: -2002020313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the second derivative of -d**6\/90 + d**5\/30 - 3*d**3\/2 + d. Let q(s) be the second derivative of r(s). Find the second derivative of q(h) wrt h.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kjnhjgnnkhljgkk. What is prob of sequence jjg?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.04 - 1.96. Let t = -10.1 + 3.1. What is the smallest value in w, t, -5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10468200 and 2847?\nAnswer: 136086600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -39 - -34. Which is the nearest to 2\/9? (a) -1\/2 (b) w (c) 0.5 (d) -15\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**2. Let f(j) = 749*j**2. What is s(f(b))?\nAnswer: -561001*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*s + 5148 = -0*s + 90*s - 6864 for s.\nAnswer: 91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -9473*p**3*x**3 - p**3 + 2*p**2*x**3 + 6*p - 101 wrt x?\nAnswer: -28419*p**3*x**2 + 6*p**2*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2\/3))**(-1\/15)*(((g\/(g*g\/(g**4\/g*g)))\/g)\/g)\/g**0 assuming g is positive.\nAnswer: g**(47\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -15*q + 273. Let v be j(18). Solve 0 = 4*c + 3*s - 2, -v*c - 1 + 4 = 3*s for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (-4 + 4) - 2\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:58 PM and 3:44 PM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, z: 1, g: 5, w: 1, v: 7}. Give prob of sequence zf.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 163943 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24)\/10*1300\/(-5720) + (-152)\/77?\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t - 3*q - 190, 87 = t + 5*q - 87. Let o = 180 - t. Put 3, -3, o, -11 in descending order.\nAnswer: 3, -3, o, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 29 - 21. Suppose -4 + 24 = -2*u. Let o be (s\/u)\/((-2)\/5). Solve -3*c = -5*d + 2, -o*c + 6 = 3*c + d for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 40 and 448.\nAnswer: 2240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -298.2 * 886.\nAnswer: -264205.2","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -107 - 17?\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -1 - -7) + (46 - 45).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -18 + 41. Is q a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 929 is divided by 36?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 120949, 120940, 120919, 120880, 120817, 120724, 120595, 120424?\nAnswer: 120205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 - 1.8. Let x be (-8)\/(96\/18)*(-4)\/(-30). What is the second biggest value in p, x, 4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a gram in milligrams?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2b4 (base 15) to base 7\nAnswer: 1543","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 + 4. Suppose 5*o + 5*x = -m*x - 35, -4*x - 20 = 2*o. Let i = 0 + 0.1. Which is the closest to i? (a) 0.3 (b) o (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12381681.28 take away 1.7?\nAnswer: -12381682.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tq when two letters picked without replacement from thtq.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are 35007 and 2\/5 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/(25\/(-3770))*5. Let l = p + -526. Let h = -48 + l. Does 13 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -81 - -85. Solve -2 + 10 = -j*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 700.945 rounded to the nearest 100?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 10b0 - 2?\nAnswer: 10ae","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2005*g - 24 = 1999*g. Solve 5*h = -f - 8, -2 - g = -4*f - h for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -3*w - 2. Let r be y(-20). Solve r*f**2 - 35*f**2 + 4*f**3 - 31*f**2 = 0 for f.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/5 (b) 30 (c) 10 (d) 5 (e) -0.1 (f) 0.2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**3 + 10*k**2 - k - 3. What is u(10)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -4*t - 11615, 17*n - 13*n - 15470 = 2*t. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/2)\/(-4*(-3)\/4)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -4*r + 3. Let j(x) = 4*x - 4. Let t(l) = -3*j(l) - 4*k(l). Let q(w) = -w + 5*w - 3*w. What is t(q(u))?\nAnswer: 4*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the second derivative of a**9\/60480 - a**8\/13440 - a**4\/3 + a. Let s(g) be the third derivative of n(g). Find v, given that s(v) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (630\/(-77))\/15*3\/(-3).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -83, -26\/4193, 4, 3 in ascending order.\nAnswer: -83, -26\/4193, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8715 and 8176413.\nAnswer: 1743","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mxojxooemjoooooje. What is prob of sequence jj?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(68) + sqrt(68) + -1*sqrt(68))*-2)\/(sqrt(4) - sqrt(288)\/sqrt(8) - sqrt(12)\/sqrt(12)).\nAnswer: 16*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 463168 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -3*i + 4, -i - 87 + 80 = -2*z. Factor -2\/11*k**4 - 6\/11*k**2 + 0 - 8\/11*k**i + 0*k.\nAnswer: -2*k**2*(k + 1)*(k + 3)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -423 or -1689\/4?\nAnswer: -1689\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 2*i - 4. Let j(z) = 4*z - 7. Let a(g) = 3*j(g) - 5*u(g). Let s be 72 - ((-240)\/135 + 4\/(-18)). Let f = s - 76. Give a(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9880 - 9875. Let l = 6 - 3. Sort -5, 0, l, s.\nAnswer: -5, 0, l, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -336*t**2 + 3*t - 161 wrt t.\nAnswer: -672","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1 (b) 3\/2 (c) 1.55 (d) 6 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 114*g**2 + 151*g**3 + 51*g**3 + 42*g**2 wrt g.\nAnswer: 1212","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19008 to the power of 1\/2, to the nearest integer?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 5882, -1, -5, -892 in increasing order.\nAnswer: -892, -5, -1, 5882","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 185 - 184.557. Let g = -869.443 + o. Let b = g - -869.0000579. Round b to 5 dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1889 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -7\/4 (b) 1 (c) 0.08 (d) -1\/3 (e) -17\/3 (f) -45\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**3 + 11*b**2 - 7. Calculate l(-11).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the second derivative of x**6\/90 + 3*x**5\/20 + 7*x**4\/9 + 2*x**3 + 8*x**2\/3 + 1084*x + 1. Let r(m) = 0. Calculate m.\nAnswer: -4, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x + x - 2*x**3)*(-4 + 0 + 3) - x**3 + 3*x**3 - x**3 + (3*x**2 - 3*x**2 - 4*x**3)*(-29 + 7 - 28) + (-1 - 3 + 2)*(-3*x**3 + 2*x**3 + 0*x**3).\nAnswer: 205*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9240.\nAnswer: 2, 3, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 21 and 231?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 5836*g + 1. Let v be r(5). Let q(j) = -31047*j + v*j + 28465*j + 35401*j. Let y be q(-1). What is y rounded to the nearest ten thousand?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 828 - 486. Does 19 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 15\/4 of a microgram?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -55400 by 200.\nAnswer: -277","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55232814?\nAnswer: 2, 3, 7, 13, 101159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 2*k + 0*k = 22, -2*k = 5*h + 10. Let a be 5 - (1 - 0*(-2)\/h). Factor 4\/5 + r**a + 4*r + 22\/5*r**3 + 33\/5*r**2.\nAnswer: (r + 1)**2*(r + 2)*(5*r + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u**3\/2 - 184367*u**2 + 2*u + 737468 = 0 for u.\nAnswer: -368734, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -7*u - 3. Let a(t) = -7*t - 3. Let g(x) = -4*a(x) + 5*c(x). Determine g(-3).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes before 10:07 AM?\nAnswer: 11:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -88 + 87. What is the units digit of (50 - -4) + -2 - y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, l: 1, n: 1, b: 2}. What is prob of picking 1 m, 2 b, and 1 l?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2052617 a multiple of 221?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**3 + 17*g**2 + 161*g + 3778. Give z(-19).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -10, -l + 5*l + 3*d = 29. Let z(w) = w + 1. Let m be z(l). Let k = 17 - m. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -40649*k**4 + 9*k*m - 7912*m + 16 wrt k?\nAnswer: -162596*k**3 + 9*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1160 and 15380.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*z - 5*r - 207, -5*z = -0*z - r - 1222 + 1189 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (27 - 43) + (45 - 69)?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -88\/5*f**3 - 1\/5*f**4 - 422\/5*f - 341\/5*f**2 - 168\/5 = 0.\nAnswer: -84, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h**2 + 4700672*h + 1381019828224 = 0. Calculate h.\nAnswer: -587584","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*w - 6*w + 60. Suppose -3*t + 0 = -6. Suppose -k - 2*s = -0 - t, -2 = -k - 5*s. Calculate the remainder when w is divided by k.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -33*c**4\/8 - 681*c**3\/4 + 44157*c**2\/8 - 33201*c\/4 - 19845 = 0.\nAnswer: -63, -14\/11, 3, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 157458210 and 390.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1452 + 5790 - 1447 - 1446 + 3*a**2 - 1445.\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -28 - -20. Let r(j) = j**3 + 8*j**2 + j - 3. Let d be r(a). Let u = d - -16. Calculate the smallest common multiple of u and 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 64, 62, 64, 70?\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the first derivative of 2*q**3\/3 - 4*q**2 + 8*q + 8. List the prime factors of b(5).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 8*i**5\/13 + 654*i**4\/13 - 844*i**3\/13 - 1158*i**2\/13 + 332*i\/13 = 0. What is i?\nAnswer: -83, -1, 0, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 3*k + 4*l - 52, 15 = 3*l. Suppose -k = -5*w - 6. Suppose -w*p - 5*p = 0. Solve p*u + 12 = 3*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -197 + 134. Let q = -424899.9897 + 424837. Let f = u - q. What is f rounded to 2 dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 178856 divided by 1?\nAnswer: 178856","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(1\/2))**(5\/9)*(k\/k**(-1\/11))\/k**8)\/((k\/(k*k*k\/k**(-1)))\/k*k*k**4\/k*k**(2\/17)*k**2) assuming k is positive.\nAnswer: k**(-29449\/3366)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 22 and 3454.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (9 + -17 - -8).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**10\/(i\/(i*i*((i\/i**(-7\/2))\/i)\/i)))\/(((i\/(i*i\/i**(-2)))\/i*i)\/i)**47)**(-13\/5))**47 assuming i is positive.\nAnswer: i**(-246233\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 5, -1, -165, 2530 in increasing order.\nAnswer: -165, -4, -1, 5, 2530","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 869*m + 474*m + 8*m + 14.\nAnswer: 1351*m + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2128\/(-21) + 2)*6\/4. Let r = l + 154. Solve -3*k - 3*b + 22 = -k, 2*k = -r*b + 30 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 + -31553461?\nAnswer: -31553456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/2744719 or 0?\nAnswer: 2\/2744719","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:48 PM and 5:04 AM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 4*c + 34, -t - 2*c + 0 - 2 = 0. Suppose 5*o = -5*a, a - t = 2*o - 0. What is the remainder when 5 is divided by a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 9*d - 1126. Does 9 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.1, -1, -0.5, 0.2.\nAnswer: -1, -0.5, 0.2, 1.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (232\/174*1\/(-2))\/(4\/(-14))?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1303837.\nAnswer: 19, 163, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*h - h - 5*h)*(-362*h - 41*h + 103*h - 634*h).\nAnswer: -2802*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -37 (base 12) to base 5\nAnswer: -133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 266 and 30172.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1872) - (sqrt(1872)*4 + -5 - sqrt(1872))) + sqrt(1872) + -4 + -3*sqrt(1872))**2.\nAnswer: -96*sqrt(13) + 29953","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -197770*c + 197732*c = -1140 for c.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + -5 + (14 + -7 - 12 - -4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 42*i**2 - 40*i**2 + 3 + 10 to the form k*i + u*i**2 + a and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q + 4 = 2*c, q + 5*c - 2 = -q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 5*x - 17. Suppose 2*t - 2*z - 17 = -t, 2*t + x*z - 28 = 0. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-9)\/4 - 2\/(-8). Suppose a - 6 = -3*t, -6 = -4*a - 2*t - 2. Suppose -3*p - 9 = 3*h, 5 = -a*p + p - 3*h. Sort u, p, 5.\nAnswer: u, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111001101 + 1010100111111100?\nAnswer: 1010100000101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*w + 4 + 26. Let i be 575\/w - 2\/(-6). What is the units digit of (i\/(-15))\/4*(-10)\/4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2056 - t - 1028 - 1028 + 2*t.\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 975 + -3669\/4. Is 59 greater than or equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 369540*p - 18*p**3 - 369540*p.\nAnswer: -18*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*n - 20*n + 55. What is the highest common divisor of n and 143?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2527858111 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 41\/318 - -2\/53. Let u = -1\/3 - k. Let o = 34 - 37. Which is the nearest to u? (a) 0.1 (b) o (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 156 + -64. List the prime factors of i.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3\/8, 13\/7, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1179377*s - 2*s**2 + s**2 - 1179400*s + 2358777*s + 2*s**2.\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 78028539 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 50*p - 1 = -51*p, 3*p - 1 = -2*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the third derivative of 0*n + 4*n**2 + 0 + 17\/60*n**5 - 1\/12*n**4 - 1\/6*n**3. Calculate the remainder when u(-2) is divided by 25.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.1 (b) 1 (c) -39\/4 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, -206, 3, -109, 9 in descending order.\nAnswer: 9, 3, 2, -4, -109, -206","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the first derivative of 3\/2*p**2 + 129 + 0*p. Let s(c) = -2*c + 1. What is y(s(b))?\nAnswer: -6*b + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.049 and 140.\nAnswer: 6.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1226023?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 139273166*a**2*y**2 - 26857*y**2 - 474 with respect to a.\nAnswer: 278546332*a*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1\/25)\/k**(3\/2))\/(k*k**9*k*k**(-2\/17)) assuming k is positive.\nAnswer: k**(-10559\/850)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**3 - 8*d**2 - d - 4. Calculate b(-8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * 1.93.\nAnswer: -9.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 48212, 48192, 48172, 48152, 48132?\n\"Answer: -20*k + 48232","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -400*w + 864*w - 7424 = 0 for w.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.079*1.648538.\nAnswer: 0.130234502","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (88\/(-33))\/(6\/(-9))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6434576*w = 6434776*w - 22800 for w.\nAnswer: 114","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -186513 divided by 4\nAnswer: -186513\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -23\/6, -4\/3, -4 in decreasing order.\nAnswer: -4\/3, -23\/6, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 299999, 299998, 299997, 299996, 299995?\nAnswer: 299994","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*4*sqrt(132)\/sqrt(4))\/(-6*sqrt(363)*1).\nAnswer: 4*sqrt(11)\/33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 525811 is divided by 1021.\nAnswer: 1017","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 101769.05 rounded to the nearest ten?\nAnswer: 101770","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.9 or -54\/5?\nAnswer: -54\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/4)\/(41583\/(-887104))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 4 = 3*m + 12, -m = 4*s - 25. Let h(x) = 13*x**2 - x. Let g be h(1). Calculate the remainder when (-90)\/g*16\/(-10) is divided by s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes after 9:31 PM?\nAnswer: 5:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 20 = 2*y, y + 6*k - 2*k - 16 = 0. Let c be -3 - (-3 + (y - 0)). Solve c = -2*a - 6 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u and 1 j when four letters picked without replacement from tttttttjstjttututuu?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k + 37088727 = -29411273. Round k to the nearest one million.\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -34105, -68133, -102161, -136189, -170217?\nAnswer: -204245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 240 and 360?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -6\/17, 10, -3 in descending order.\nAnswer: 10, -6\/17, -0.4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 1 = 0, 5*c - 63 = -o + 21. Suppose 0 = c*z - 12*z + 30. Put 4, 2, z, 3 in ascending order.\nAnswer: z, 2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 2926*s. Let u(a) = 3*a**2. What is u(z(v))?\nAnswer: 25684428*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 2, 9*r - 8*r = l - 1766. Does 48 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express s - 2*s**3 - s + (28*s**2 + 3*s**2 - 15*s**2)*(2*s + 2*s - s) as a*s**2 + i + f*s + v*s**3 and give v.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l + 15 + l**2 - l**3 + 13*l + l**2. Suppose -2*q = -10*q - 40. Calculate the smallest common multiple of 20 and s(q).\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n = o - 28598, -5*n - 3*o + 17876 + 2558 = 0. What is the hundreds digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 32269 - 32240. Suppose 3*i - 168 = i. Calculate the remainder when i is divided by w.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 259262477?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 104924.\nAnswer: 2, 17, 1543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/80 and 13\/12661260?\nAnswer: 50645040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1970 + -568. What are the prime factors of i?\nAnswer: 2, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*g - 2*g - 4*g)*(-g**2 + g - 2*g + 3*g) + (-3*g**2 + 5*g**2 - 3*g**2)*(8 + 8 - g - 30).\nAnswer: -7*g**3 + 30*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.6 in -0.4, -629, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 35231241, 70462459, 105693677, 140924895, 176156113?\nAnswer: 211387331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -244\/105 + 9607\/1890. Find the common denominator of i and 131\/18.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -779 + 831. Suppose 12*d + 28 - p = 0. Let -2\/5*k**d - 4\/5*k - 2\/5 = 0. Calculate k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -783677*n**2 - 1344*n + 1344*n.\nAnswer: -783677*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -12*x + 12. Let w be b(1). Which is bigger: w or -1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -69429\/37 + 1877. Which is greater: 1 or o?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3991724680?\nAnswer: 2, 5, 53, 73, 25793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 1, 0 in increasing order.\nAnswer: 0, 1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16871 - -16871.31996. Let s = v - 0.32. Round s to five dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.9 and -691578?\nAnswer: 622420.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**2 - 12*g + 36. Let b be h(-14). Let j be 12\/(-18) - b\/(-12). Solve -2*o + j*o - 8 = -5*s, -4*o - 4 = -4*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**2 - s - 1. Let x = 73 + -83. Suppose -2 = -3*f + 1. Let v(a) = -12*a**2 - 8*a - 12. Give f*v(h) + x*t(h).\nAnswer: -2*h**2 + 2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the first derivative of 124*q**3\/3 - 3*q**2\/2 - 4*q - 36. Let a be p(-1). Is 122 at most as big as a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 13571?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in twenty-five halves of a millennium?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 3, l: 1, q: 1, c: 10, g: 2, j: 2}. What is prob of sequence eeeq?\nAnswer: 1\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 219 * 0.13\nAnswer: 28.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**3 - 19*u**2 - 2*u + 42. Let o be s(19). Suppose 0 = -o*v - 3*x + 495, -3*x - x - 340 = -3*v. Does 12 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = 5*i, -2*r - 15 = -0*r + 5*i. Suppose -3*w + 8 = f + 23, -r*w + 5*f - 25 = 0. Let z(o) = o**3 + 6*o**2 + 5*o + 2. List the prime factors of z(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10.57607 - 343104730.\nAnswer: -343104719.42393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30361*c**2 + 15508*c**2 - 3153*c**2.\nAnswer: 42716*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7858, -31309, -70388, -125095, -195430?\nAnswer: -281393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6449, -1, 2 in descending order.\nAnswer: 2, -1, -6449","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.0329 + -5.0329. What is the nearest to 1\/8 in -0.4, -4\/9, h?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 129847 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 z when four letters picked without replacement from zzzzlzzlzzlzzl?\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 803300 to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/6, 0.4, 3\/12854?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 + 3*(-16)\/(-12). Solve 5*a - 29 = 2*j - w*j, -2*j = a - 13 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**2 - k - 2. Let j(c) = 4*c**2 + 4*c + 12. Let q(w) = 2*j(w) + 10*x(w). Let f(b) = 2*b**2 + 2*b - 5. Give -4*f(i) - 5*q(i).\nAnswer: 2*i**2 + 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is c32b8 + 5c5?\nAnswer: c38b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -2*u - 5. Let h be p(-4). Suppose 9 = h*d - 123. Let a be (-18)\/d + (-1)\/(-2). What is the biggest value in 2, 0.4, a?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1cf6d (base 16) to base 2\nAnswer: -11100111101101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/48 (b) -1411\/14 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s. Let r(k) be the first derivative of -4 + 5 + k**3 + 5*k - 5*k. What is j(r(l))?\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 + 0 + 2)*(-26 - 9 - 4)*(3*i + 0*i + 0*i)*(0 + 3 - 1) as w*i + v and give w.\nAnswer: -1404","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Is 5.6752 > -1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14 + -14. Which is the nearest to t? (a) 1\/3 (b) -0.2 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = -k + 4*s, 14*k = 9*k + 4*s - 9. Solve -5*f + 23 - 13 = k*y, 2*y - 14 = 4*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the second derivative of 0 - 2*o + 1\/2*o**2 + 1\/2*o**3 + 1\/12*o**4. Suppose 0 = 2*k - 3*d - 11, 0 = 4*k - 2*d - 2. What is q(k)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmekeukmdmkhmem. Give prob of sequence kmk.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 33 - 71. Let m = s - -38.068. Let a = 0.06769 - m. Round a to 4 dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.7701*0.6.\nAnswer: 0.46206","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.3, -1\/9, -1\/2, 1\/5, 4, 233, 10?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 73 and 2263?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 721658621 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p - 4*p + 2*p)*(-3*p**4 + 2*p**4 - p**4) + (p - 5*p + 3*p)*(-4*p**2 + p**2 - p**2)*(-4*p**2 + 0*p + 0*p).\nAnswer: -18*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - 15) + 34 + -7?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-4))\/(6 + 295\/(-50)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 4 = -0*q. Suppose r + 5 = g, -1566*r = -1564*r + g - 20. Sort 3, r, q, -4.\nAnswer: -4, q, 3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54853136066 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 47884?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 175681 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r**3\/3 + 2188*r**2\/3 - 109608*r + 1740528 = 0. Calculate r.\nAnswer: 18, 158, 918","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 5274 = 2*x + 7817, 3*x = -6. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*y - 16*y + 6145 = 3*d, -5*y = -5*d + 10235. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 75, 151, 227, 303?\n\"Answer: 76*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-10)\/(-72) - (-4)\/36. Let i(k) be the second derivative of -3\/2*k**2 - 2*k + 0 - 1\/2*k**3 - t*k**4 - 1\/20*k**5. Determine i(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - (13 - 40)) + -2 + 7 + 0\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q**5 - 640*q**4 - 17640*q**3 + 88450*q**2 + 203885*q - 610050 = 0 for q.\nAnswer: -83, -49, -3, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 - -2. Let d = -751.9 - -752. Put d, r, 0.5, -9 in decreasing order.\nAnswer: 0.5, d, r, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 102895629?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1166\/(-5040) + 83\/664 and -71\/63.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-1)\/f**18*(f\/(f*(f*f**(-4))\/f*f))**(2\/43) assuming f is positive.\nAnswer: f**(-811\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -38*c + 13. Let w(p) = 74*p - 24. Calculate 11*r(x) + 6*w(x).\nAnswer: 26*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence puy when three letters picked without replacement from tuptpgy.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(605)\/(sqrt(11)*-1) - sqrt(55))\/(5*sqrt(20)).\nAnswer: sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5874 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*t - 393 + 266 = -231 for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -783, -1603, -2449, -3333, -4267?\n\"Answer: -2*i**3 - i**2 - 803*i + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 8609940?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10 - -3. Let x = n - -32. Let c = 3 - -7. What is the greatest common factor of x and c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 40*v + 3603. Determine g(-90).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 53759 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -261\/40 - -57\/8. Which is smaller: x or 52?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that g**2 - 21799*g + 1217608 = 0.\nAnswer: 56, 21743","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1700 by -10.\nAnswer: -170","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10 in 865, -1, 0.06, -6, 0?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**2 + 9*l + 6. Let s be u(-7). Calculate the smallest common multiple of s\/(-1 + -2 + 1) and 1.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 251388?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the first derivative of u**3\/6 + 197*u**2 + 77618*u - 881. Factor v(c).\nAnswer: (c + 394)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10\/9? (a) -5.6 (b) 3 (c) 0 (d) 3\/4 (e) 10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0822129898 take away -7393?\nAnswer: 7393.0822129898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -4, 0.1, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 386*o**4 - 289 with respect to o.\nAnswer: 1544*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, -76219, 4?\nAnswer: -76219","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*n + 46*n = 145 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tb when two letters picked without replacement from {t: 2, z: 1, b: 4}?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - m - 304 = 0, -3*v + 0*v - 296 = 5*m. Let i = -1127\/11 - v. Find the common denominator of i and -49\/2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 202362 is divided by 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 w when two letters picked without replacement from {w: 2, y: 1, x: 7, v: 7}.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 2*i - 1470, 0 = 3*i - 5*n - 36 - 2167. Suppose 3*v + 43 = i. What is the greatest common divisor of v and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/8 + (-99)\/108. Let z be (-5)\/((-1 - -3)\/(-2)). Suppose 69*w - 54 = 51*w. What is the nearest to w in x, 0, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1233632 milligrams to grams.\nAnswer: 0.0001233632","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -0*c + c - 1833, -4*n - 4*c = -1848. Calculate the remainder when n is divided by 149.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4975 and 275?\nAnswer: 54725","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**3 + 68*s**2 + 377*s + 310.\nAnswer: (s + 1)*(s + 5)*(s + 62)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the first derivative of -5*n**3\/3 + 20*n**2 - 80*n - 59. Factor g(i).\nAnswer: -5*(i - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(3\/5)*o*o\/o**(-6))**(-3\/22) assuming o is positive.\nAnswer: o**(-129\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the first derivative of 2*j**3\/3 + 1. Let f(v) = -6*v. Determine w(f(c)).\nAnswer: 72*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 5) to base 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -454.2 to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**2 + 63*g - 4103. Let b be c(40). Put -1, -0.1, -1\/2, b, 8 in decreasing order.\nAnswer: b, 8, -0.1, -1\/2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**2 - 12*a - 15. Let o be l(-10). Let t(j) = -1 - 4 - 9*j + o. Let r(c) = -2*c. Calculate t(r(k)).\nAnswer: 18*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16 + 8. What is the units digit of (f\/3 - 0)*-6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 38080 and 1540.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 0*c = -c, 3*p = -2*c for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0404 * 0.009676.\nAnswer: 0.0003909104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the third derivative of t**4\/12 + t**3\/3 + t**2. Let g(b) = b - 11. Let k be g(15). Calculate u(k).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*a = -74 + 63 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.8 + -0.5. Let q = 0 - -1. Let v = -43\/7 - -157\/21. Which is the nearest to q? (a) -5 (b) v (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + (8 - -1) - 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -5*g - 3 + 12, -g - 2*p = -4. Solve 2 = h - 3*n + 2*n, h - g*n - 5 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(44)*1)**2 + -2.\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -27, -87, -253, -579, -1119, -1927?\n\"Answer: -9*g**3 + g**2 - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -52 + 13. Let z = v + 91. Suppose -2*x - z = -15*x. Solve -2*u + 6 = x*h - 2, 5*h = -5*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 1873*t - 51. Is z(14) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -6*u + 2. Let p(c) = -5*c + 2. Determine -2*i(r) + 3*p(r).\nAnswer: -3*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -3*y + 17, y + 4*y = 4*l. Suppose g + y*g = 0. Which is the third biggest value? (a) 2 (b) g (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6289*z - 6294*z = 3*i - 48, 2*z + 2*i = 16 for z.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes before 2:42 AM?\nAnswer: 8:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (41*p + 364 - 364)*(-51*p**2 - 76 + 76) + (3*p + 3*p - 5*p)*((-4 + 4 + p)*(-1 + p + 1) - p**2 + 2*p**2 + p**2).\nAnswer: -2088*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 217 - -70. What is the tens digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 17*h**2 + h. Let d be m(-1). Suppose -d - 28 = -2*o. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1784 - 1214. Let n = p - 559.075. Let c = -11 + n. Round c to two dps.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**3 + 2*o**2 - 3*o - 4. Let d be s(-3). Let n be ((-6)\/d + -1)\/(-2). Let f = 101 + -705\/7. Which is the nearest to n? (a) f (b) 0.2 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9\/12797825 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 88669 in 4, -2\/9, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 1279288*x**2 + 2. Let m(v) = 3*v. What is t(m(b))?\nAnswer: 11513592*b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -26.18 - 61.73. Let j = 88 + g. Which is smaller: j or -0.18?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5565976 and 3853368?\nAnswer: 50093784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/(-8)*(-4)\/22. Let y = 27\/55 + t. Let m = -244\/3 + 82. Which is the second smallest value? (a) -0.3 (b) y (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00890784 to 3 dps.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 9*w**3 + 114*w**2 - 43*w - 54. What is c(-13)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in twenty-seven quarters of a kilogram?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*n + 28 - 12*n + 2*n + 0*n + 42 - 52 + 7*n.\nAnswer: -n + 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 123*s - 268 wrt s?\nAnswer: 123","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 5, f: 1, c: 1, r: 1, p: 4, o: 1}. What is prob of picking 1 f and 1 c?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(45)\/sqrt(225) + -1)**2 + 1.\nAnswer: -4*sqrt(5)\/5 + 26\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/45)\/((-30)\/(-75)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 807548989?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes before 2:56 AM?\nAnswer: 2:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 + 1)*(-9 + 7 + k + 5)*(6 - 2 - 3) to j*k + b and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 95800864?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.426882 millilitres to litres.\nAnswer: 0.000426882","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -10*p + 10. Let q be a(-18). Suppose 4*s - 6*s + q = 0. What is the tens digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3294)\/(-5124))\/(((-392)\/343)\/(2\/30))\nAnswer: -3\/80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1, 2, 5 in descending order.\nAnswer: 5, 2, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 86*p - 4. Let d(k) = -85*k + 3. What is -6*d(u) - 5*y(u)?\nAnswer: 80*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11500, 11141, 10204, 8401, 5444, 1045, -5084, -13231?\nAnswer: -23684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**3 - 10*i**2 + 6. Let j = 23 - 13. Let b be q(j). Let f(y) = -3*y + 34. Let n be f(10). Solve 4*z - n*u = -2 - b, 0 = -2*z + 5*u - 19 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/16)\/((-270)\/(-72))*-4?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 9579?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6934784?\nAnswer: 2, 103, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 20.09 - 20. Let p = 0.00357 + 2.99643. Which is the third smallest value? (a) x (b) 0.3 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56746757 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (483\/18)\/(-7).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 3652*0.1\nAnswer: 365.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r - 2. Let v be z(3). Suppose -4*p = -27 - v. Let l = -9 + 9.2. Is p at least l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 - -32333?\nAnswer: 32341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 258 - 39. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**2 - 12*x - 12. Let u be q(13). Sort u, 3, -0.3.\nAnswer: -0.3, u, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n*n*n**9))\/n**26 assuming n is positive.\nAnswer: n**(-36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-29)\/((-17574)\/(-3232))*(-162)\/8.\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**2 - 1795*h - 23221. Calculate u(-13).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -56*l - 15. Let a(f) = -39*f - 10. Let z(p) = -3*a(p) + 2*c(p). Let r(g) = -47*g**2 - 30. What is z(r(w))?\nAnswer: -235*w**2 - 150","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 4, o: 3, t: 4}. Give prob of picking 3 o.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vkyvppivpypp. Give prob of picking 2 v and 2 p.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -9193, -18473, -27887, -37435, -47117?\n\"Answer: -67*f**2 - 9079*f - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 3.7, -4, -13, 5, -0.9 in increasing order.\nAnswer: -13, -4, -0.9, 3.7, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 438 = 4*v + 4*y - 2*y, -v - 3*y = -107. What is the remainder when v is divided by 28?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16232, 34045, 51858, 69671?\nAnswer: 87484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/4*b**2 - 3\/4*b + 1.\nAnswer: -(b - 1)*(b + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:50 AM and 1:35 PM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 6, f: 1, j: 7, s: 3}. Give prob of sequence sjj.\nAnswer: 21\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -u - 4. Suppose -4*l = 4*q - 180, -5*l + 19 + 159 = u*q. What are the prime factors of q?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes after 11:05 AM?\nAnswer: 9:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -3\/13 (b) -129 (c) -1\/5 (d) -1.2 (e) -3\/10 (f) 0.3 (g) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 3*i + 4. Let h be (-1718)\/(-14) - (120\/21 - 6). Suppose h*c - 114*c + 36 = 0. Give m(c).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 32217, -84, -3 in descending order.\nAnswer: 32217, 1, -3, -84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 3*f + 5*m, 38 = -12*f + 15*f - m. What is the greatest common factor of 3468 and f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 108148.\nAnswer: 2, 19, 1423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (1 + 202)\/(9\/18)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -25989 and 0.174?\nAnswer: -4522.086","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 2042 (base 5) to base 8\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (((-114)\/(-6))\/1178)\/((-2)\/104). Which is the third smallest value? (a) 2\/3 (b) j (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 608032133?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (-14)\/(-9 + 11) - -245 and 4?\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -3*i + 54. Suppose -m + 5 = -11. Calculate the lowest common multiple of (-2)\/(-4)*(-352)\/(-11) and s(m).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) 1\/11 (c) -1\/3 (d) -848.466 (e) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 292 divide 246259?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 53953609 + -77773609. Round z to the nearest one hundred thousand.\nAnswer: -23800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1431.06 (b) -2\/5 (c) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes before 5:36 PM?\nAnswer: 3:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 36 and 153?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4451 + 4451.1. Which is the closest to i? (a) 12 (b) -0.8 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 + -8 + (-20 - 0).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j + 2 = -40. Suppose -v = 5*w + 4*v - 5, -w + 2*v = -j. Solve w*u = 8 + 4 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3832\/60 - (-16)\/120. Let h(o) = 133*o**2 - s*o**2 - 70*o**2. Let p(v) = -38*v. Determine h(p(x)).\nAnswer: -1444*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**3 + 201*g + 202. Let w be x(-1). Put 79, 1, w in descending order.\nAnswer: 79, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 0*y = -5*y - 5052, -v + 2541 = 5*y. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 7.897457ns?\nAnswer: 0.007897457","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the first derivative of -7*f**4\/4 - 11*f**3\/3 + 9*f**2\/2 - 15*f + 208. Let a(p) = 4*p**3 + 6*p**2 - 5*p + 8. Calculate -11*a(k) - 6*b(k).\nAnswer: -2*k**3 + k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 4*s + 90 - 14 = 0, -38 = -r - 5*s. Calculate the remainder when r is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -17*a - 1. Let c be l(2). Let y = -32 - c. Suppose -872*t = -860*t + 24. Is t < y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57 + 71 + -25 + -57?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 2*z + 3*z - 2 - 3*z**2 + 2*z**2. Let w be b(4). Suppose 144 = -1773*s + 1785*s. Solve 3*u = 4*u + f, 0 = 5*u + w*f + s for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-2*sqrt(250))\/sqrt(10)*2)\/((sqrt(160)*3)\/sqrt(8)*-4).\nAnswer: -sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*(m*m**(-4\/17))\/m)**(7\/3)*(m**(-3))**(-29) assuming m is positive.\nAnswer: m**(4528\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18, -417, -852, -1287?\nAnswer: -1722","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 111?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 7*u + 43. Let m be w(-6). Which is the closest to -1? (a) -0.2 (b) 1\/4 (c) 0 (d) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 5*w**5 - 234527365*w**4 + 2750154363955815*w**3 - 2750152956791695*w**2 - 13750769943560320*w - 8250462388285440 = 0.\nAnswer: -1, 3, 23452736","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6)\/(-9) + ((-8)\/(-9) - 2). What is the second smallest value in 0.2, 5, b?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11653349?\nAnswer: 269, 43321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 4061166 = 157*d - 159*d, -5*d + 10152901 = 2*u. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -54*r**6 + 30*r**2 + 42*r**2 - 16*r**2 wrt r.\nAnswer: -6480*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 7*t. Let b be -11 + 3 + (4 - -4). Let f(s) be the first derivative of -6 + b*s**2 - 1\/3*s**3 + 0*s. Calculate f(p(o)).\nAnswer: -49*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 119799084 or 119799082?\nAnswer: 119799084","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ozhv when four letters picked without replacement from zzozzhhvho?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**3 + 11*q**2 + 9*q - 6. Let s be c(-10). Suppose -9 - 11 = -5*t. Suppose -t*o = -4*k, -2*k + 0*k + 18 = s*o. What are the prime factors of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2 + 72)*55\/77. Let v = -5977\/105 + f. Let l = 3\/80 - 67\/720. Find the common denominator of v and l.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:50 PM and 12:09 AM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 713 - -98?\nAnswer: 7ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the third derivative of -11*k**6\/60 - k**4\/8 + 2*k**2. Find the second derivative of x(y) wrt y.\nAnswer: -132*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -25 + -11. Let y be 21\/4 - h\/48. Suppose 0 = -4*o + 16, y*p - 4*p + 4*o - 42 = 0. What is the remainder when 33 is divided by p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (9\/5 + (-1)\/1)*5. Let h(t) be the second derivative of -1\/9*t**3 + 0 + 1\/18*t**p + 2*t + 0*t**2. Solve h(z) = 0 for z.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1701173 (base 9) to base 3\nAnswer: 1210001012110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*-1*sqrt(245) + sqrt(245) + 3 + -1 + sqrt(245) - (1 + (sqrt(245)*2 - sqrt(20)\/sqrt(4)*-1)).\nAnswer: 1 + 27*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.11055219375 rounded to four dps?\nAnswer: 0.1106","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ux when two letters picked without replacement from tvhvhuvuvxxhvmu.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 70 and 1215?\nAnswer: 17010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/1203498 and -44\/78489.\nAnswer: 3610494","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-84)\/(-42))\/((4\/36)\/(((-72)\/(-9))\/(-8)))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 64? (a) -8 (b) -3 (c) 3\/7 (d) 3 (e) -0.05\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:34 PM and 5:27 PM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 4\/((-80)\/128 + 342\/(-144) + 5)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 7, -3 in descending order.\nAnswer: 7, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -1238 less than or equal to -0.08?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/3*0 - (-3 + -8). Let d(u) = -8*u + 25. Let l(g) = -17*g + 51. Let i(j) = -7*d(j) + 3*l(j). What is the units digit of i(q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*u**2*z**3 + 28*u**2*z**2 + 10*u*z**3 + 7331*z**3 + 2367114*z**2 wrt z.\nAnswer: 24*u**2 + 60*u + 43986","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9663395?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2350, 2352, 2356, 2362, 2370, 2380, 2392?\nAnswer: 2406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 + (-13)\/2)\/((-4)\/8). Is (162\/4 + 1)*(k + -9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - 102\/9)*22*192\/1760?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the second derivative of -w**5\/5 - 7*w**4\/12 + 2*w**3 + 7*w**2 - 16*w. Is n(-7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 850, 244, -350, -926, -1478?\nAnswer: -2000","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the third derivative of -t**4\/24 - 2*t**3\/3 + 8*t**2. Let r be j(-8). Differentiate -f - f - 8 - f + r*f with respect to f.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + 0 + 3 = 0, -3*l = -q - 6 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put together 73 and -175035.8208.\nAnswer: -174962.8208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 622 a factor of 10908636?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, m: 2, y: 6, q: 8}. What is prob of picking 2 q?\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 41\/4 - 7\/28. Suppose -38 - d = 16*i. Let q be (-3 - (-3 - i))*-6. Solve -c - 3*c = m - 17, 4*c = -2*m + q for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b + 5. Let a be o(5). Let l be -7 + a + 3 + 4. Solve l = 5*z - 0*z + 20 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 2*q**2. Let x be ((-5)\/(-5))\/((-1)\/(-3)). Let d(r) = 3*r + 3 - x - 5*r. Calculate d(f(l)).\nAnswer: -4*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 5, -2\/5, 2 in decreasing order.\nAnswer: 5, 2, -2\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1436 is divided by 177?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**5 - 139*g**4 - 858*g**3 - 1730*g**2 - 1447*g - 435.\nAnswer: (g - 145)*(g + 1)**3*(g + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbn when three letters picked without replacement from bbn.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.3 < 47896434?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -10\/18481 at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -12 + 2810*f**2 + 4 - 1406*f**2 - 1400*f**2. Let d(c) = -c. What is d(v(h))?\nAnswer: -4*h**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 325583?\nAnswer: 29, 103, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -84 - -102. Suppose 728 = 8*i + g*i. Suppose -n + 3*n = 222. What is the remainder when n is divided by i?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12 - 222212?\nAnswer: -222200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2961894 less than -128217?\nAnswer: -3090111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 4*h - 976 = 0, 5*o - 4*h - 690 = 533. What is the greatest common factor of 52 and o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.18*-2179.83.\nAnswer: -392.3694","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*c - 11*c + 8 = 0. Let z(n) = -n**3 + 4*n**2 + 5*n - 2. List the prime factors of z(c).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*p**3 + 3893564 - 7787135 + 3893571.\nAnswer: 9*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:16 AM and 1:16 PM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-32)\/6 - 2\/3. Suppose 0 = z - 3*v - 16, -3*z = -9*v + 12*v. Calculate the remainder when 26 is divided by (f\/(-5))\/(z\/30).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.421625 rounded to 1 decimal place?\nAnswer: -3.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:14 AM and 1:09 PM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 78 divide 35060?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 5918*h**3 - 3*h**2 - 2*h + 7. Let y be m(-7). What is y rounded to the nearest one hundred thousand?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -391556 (base 13) in base 11?\nAnswer: -859379","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -79.5 + 79.532. Which is the smallest value? (a) -2 (b) k (c) 0.5 (d) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(500) - sqrt(500) - sqrt(500))\/(-3*sqrt(360)).\nAnswer: 5*sqrt(2)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 22\/9 of a hour?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*s - 30*s = -3 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2319363853.\nAnswer: 2319363853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*l - 52*l + 936. Let n be (-1)\/35*-7 + l\/5. Solve 0 = n*q - 2*g - 12, 3*q - g - 2*g = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57303 divided by 6?\nAnswer: 19101\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -192, -195, -200, -207, -216?\nAnswer: -227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -14 (base 15) to base 2\nAnswer: -10011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1777 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -859160829 divided by -286386943\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14\/1827)\/(235\/(-2115))?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 49*h - 250. Let n be l(5). Which is the second smallest value? (a) n (b) -2\/5 (c) -2\/11 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1479573?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66*o + 222 - 90 = 0. Solve 0 = -3*i - 2*i - 25, 5*i = o*k - 25 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96.449 times -0.3?\nAnswer: -28.9347","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8 + 2. Let i(l) = l**2 + l - 6. Let u(f) = 2*f**2 + 63*f + 441. What is the remainder when i(a) is divided by u(-10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 3*k**3 + 42*k**2 - k - 6. Let a(v) = -v**2 + 53*v - 66. Let f be a(52). Give m(f).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 77 (base 9) to base 15\nAnswer: 4a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1129 - -1993. Is 72 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 41 + -39. Let z = -1 + 2. What is the closest to z in o, -7\/2, -0.3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*d**2 - 14*d**2 - 15*d**2 + 312*d**3.\nAnswer: 312*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 + -230446608?\nAnswer: -230446604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 953 = -4*g, -5*b = 3*g - 267 - 1303. Suppose 2*s = s - 2, -5*z = -3*s - b. Suppose -z + 6 = -i. Is 25 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 93 = -3*o, -5*o = -0*a - a + 57. Suppose -5*c = -x - 286, 5*c - a = 4*c + 4*x. Suppose 2*r + 16 = c. Is r a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 5*b - 41, -15 = 3*l - 8*l + 5*b. Suppose -56 = -4*p + 3*m, -5*m = 2*p - 5*p + 53. Calculate the least common multiple of p and l.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 + -9. Does 23 divide 26 - (0\/t - -3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 129082265?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1861299 divided by -34.\nAnswer: 1861299\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 19.495039 rounded to two dps?\nAnswer: 19.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 20, -2*d + 7*d - 28 = 4*t. Suppose 0 = w - 53*w + 364. Sort t, -5, w.\nAnswer: -5, t, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 2*o**2 + 6*o. Let v be ((-13574)\/(-44))\/((-1)\/(-2)). Let g(j) = -v*j**2 - 621*j**2 + 1242*j**2. Calculate g(p(r)).\nAnswer: 16*r**4 + 96*r**3 + 144*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 + 25 - (14 - 5).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 6, 120.8, 0.0239 in decreasing order.\nAnswer: 120.8, 6, 0.0239, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*x = 25*x + 5, -20 = p + 4*x for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -11 + 19 + (-3 + 14 - 61)\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16533*b - 8221*b = 8193*b - 2856 for b.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 18.592 + -33.56. Let m = -0.032 + y. Which is the nearest to -2\/3? (a) 5 (b) -0.3 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a - 4. Let f(l) = -5*l - 6. Let i be f(-4). Suppose 3*j = -5*v + 34, 3*v + 6*j - i = j. Let g be k(v). Which is smaller: 3 or g?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -636210*d*g**2*p**2 + d*g*p**2 - 3*d*p**3 + 2*d*p**2 - 125785*d*p + g**2*p**3 wrt g?\nAnswer: -1272420*d*p**2 + 2*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dttxz. Give prob of picking 1 t and 1 z.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1340 (base 6) to base 15.\nAnswer: -183","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9759430?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 4926 = 3*n, -s - 220 + 215 = 0. What is the hundreds digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -32, 19, 1, 5, -6 in descending order.\nAnswer: 19, 5, 1, -6, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2284\/7 + 22399\/70. Suppose 3*t + t = -2*d - 30, 4*t = -5*d - 57. Find the common denominator of 3\/d + (-796)\/240 and s.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/620 and -19\/5680.\nAnswer: 176080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put together -220 and 68256.\nAnswer: 68036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 26 - 18. Let u be (-2)\/j + 18\/8. Suppose 0 = -4*i - i + 5*o - 30, 4*i - u*o = -20. Put -5, i, -1 in descending order.\nAnswer: -1, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10314 and 1134.\nAnswer: 216594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -578, -2339, -5274, -9383, -14666?\nAnswer: -21123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 94.99999958 - 95. Round d to 6 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -292.55 to 0 dps.\nAnswer: -293","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18614526 and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 794*b + 28261 - 4346 = -392*b - 82825 for b.\nAnswer: -90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -2 + (-3 - -9).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -149400 rounded to the nearest ten thousand?\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 9*x. Let i be d(-1). What is the common denominator of (-1)\/(i\/((-1053)\/30)) and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -20\/27, 55, -1\/7 in decreasing order.\nAnswer: 55, 3, -1\/7, -20\/27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*l + 16*l + 408 = 0. Does 51 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14 - 8. Let q = 0 - -16. Calculate the remainder when q is divided by i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1722)\/(-27) + 2\/9. Suppose 3*o - y = 17. What are the prime factors of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 2 c when four letters picked without replacement from cccocoooccocc.\nAnswer: 56\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1.2 or 4.6?\nAnswer: 4.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 - q**2 + 6*q + 0*q - 6*q + 6*q.\nAnswer: -q**2 + 6*q - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w. Let d(s) = 115*s - 2531. Let j be d(22). Let f(i) be the third derivative of -i**4\/8 + i**3\/2 + 7*i**2. Give j*f(g) - 6*n(g).\nAnswer: -3*g - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 12659409?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7758929?\nAnswer: 7758929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (3*-1*sqrt(68))\/sqrt(4).\nAnswer: -3*sqrt(17) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2208.47 rounded to the nearest 100?\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0161591 rounded to 3 decimal places?\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 24862?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 105655?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -83472 or -83471?\nAnswer: -83471","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from piipip. What is prob of picking 1 i and 1 p?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7.827 + 7.9. Let y = x - -15.927. Put -1\/4, y, 2\/13, 4 in increasing order.\nAnswer: -1\/4, 2\/13, 4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -38658515241043 + 6.\nAnswer: -38658515241037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = 3 - 115. Calculate the highest common factor of o and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 182*p**3 - 3*p + 5. Calculate the least common multiple of 138 and d(1).\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14894248139 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 5772 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -661232*j**2 - 661048*j**2 + 1322271*j**2.\nAnswer: -9*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 - 1) + 1 - -2. Suppose -4*n + 5*f - 58 + 139 = 0, n - 27 = -f. Suppose 3*m - n = m + 3*q, -31 = -r*m + 2*q. List the prime factors of m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 1 j when three letters picked without replacement from rrrrrrjjjr?\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7.2 + -7.6. Let q(x) be the first derivative of -x**4\/4 + 7*x**3\/3 - 3*x**2 - x + 1. Let m be q(6). What is the nearest to 2 in r, m, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*t**2 - 7587000*t - 75869600 = 0. Calculate t.\nAnswer: -1896740, -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.1657 * -210\nAnswer: 34.797","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 15804300 divided by 3951075\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 11*p - 5. Let j(y) be the first derivative of -5*y**2\/2 + 2*y - 2. Let g = -11 - -8. What is g*a(f) - 7*j(f)?\nAnswer: 2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 563628.8 micrometers in nanometers?\nAnswer: 563628800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 0 - u**2 + 0 - 7*u - 3 - 6. Let d be -4*(70\/20 - (0 + 2)). Give q(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -3*m + y, -m - 24*y + 24286 = -3*m + 24306 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pg when two letters picked without replacement from ggmpzmpmml?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i + 5*n - 5, -4*i + 2*n + 4 = 6*n. Factor 2*t - 2\/3*t**3 - 4\/3 + i*t**2.\nAnswer: -2*(t - 1)**2*(t + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 33438 and 4638.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 y when two letters picked without replacement from qsydqsskpkk?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(175))*-4)**2.\nAnswer: 2800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 24689293 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j + 5*j - 4*j + 1)*(-13 + 10 - 60).\nAnswer: -63*j - 63","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -972 + 1089.3. Round y to the nearest integer.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 34277 and 3926.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -9710002\/17 < -571178?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 270531 and 171.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from nnnnn.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 316 + -308. Let l = 7 - -14. Calculate the remainder when l is divided by m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 34302942 and 1539.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**2 + 14*w + 35. Give a(15).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.06728 times 4\nAnswer: -0.26912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 + -107?\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 4 + 2*l + 1 - 5. Let n(k) = 4*k. Calculate n(h(x)).\nAnswer: 8*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -44 + 42 - (1 - (2 + -1))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) -10846 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -18*c - 170. Let p be x(-5). Suppose -192 - 132 = -4*a. Let s = a + p. Solve f + s = -0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 535?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-9)\/(-3) + -4 + -45. Let v be -43 + 4*(-4)\/16. Let g = v - p. Solve -5*h - 5*f - 20 = -g*h, -f - 1 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-25)\/(-15))\/((-3)\/9). Let q(l) = -10*l**2 - 2*l - 2. Let p(z) = -21*z**2 - 5*z - 5. Let u(w) = d*q(w) + 2*p(w). Let o(x) = x. Give o(u(s)).\nAnswer: 8*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -248 - -265. What is the greatest common divisor of d and 646?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 95, -4, -2440, -30, 5 in ascending order.\nAnswer: -2440, -30, -4, 5, 95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppszzqzszzzzzqzpszq. Give prob of sequence spz.\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/12 (b) 3\/22 (c) -1\/9 (d) -8 (e) 4 (f) -1\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a century in decades?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, i: 3, q: 3, x: 3}. What is prob of sequence tx?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the second derivative of b**3\/3 - 3*b**2 - b. Let v = 63 - 54. Is n(v) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -12104 + 31?\nAnswer: -12023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-280)\/84*12\/(-10). Suppose -4748 = -4*i - s*n, -5*i + n = 3*n - 5944. What are the prime factors of i?\nAnswer: 2, 5, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11618, 11607, 11590, 11567, 11538?\nAnswer: 11503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r**4\/9 - 1138*r**3\/9 + 4634*r**2\/3 - 24598*r\/9 - 113876\/9 = 0 for r.\nAnswer: -581, -2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ov when two letters picked without replacement from {w: 1, s: 4, o: 3, v: 2, m: 1}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(18)*1*-1 - ((sqrt(70)\/sqrt(7))\/sqrt(5) + sqrt(2))*1)*-2)**2.\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -102345, -102455, -102755, -103341, -104309?\n\"Answer: -16*s**3 + s**2 - s - 102329","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 3 + 12 = 0. Let l be -2*(6\/k + -1). Sort 3, l, -4 in decreasing order.\nAnswer: 3, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.4 and 21.7.\nAnswer: 22.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -795 + 573 - 2145 + 41*t - 40*t.\nAnswer: t - 2367","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -3903, -4792, -5671, -6534, -7375, -8188, -8967?\n\"Answer: x**3 - x**2 - 893*x - 3010","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 1301 (b) -3 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**2 - 2*l + 1. Let y be x(4). Suppose -35 = -t + y. Let j = 0 + t. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*a - 13 - 17 = 0. Let j(n) be the first derivative of n**2\/2 - 5*n + 2. Let i be j(6). Solve -3*d = 4*q - a + i, -2*q = d - 2 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46729831 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*u**5 + 2*u**5 - u**5 + (-23*u**2 - 7 + 7)*(3*u**3 - 2*u**3 - 7*u**3).\nAnswer: 136*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-12)\/30)\/(38\/(-59740)). Let r = h - 629. Do r and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/5 (b) -4 (c) -3 (d) -1 (e) 0.004\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 + 561292\/24 + 4\/(-24) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7731131383 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/336 and 71\/1054?\nAnswer: 177072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/6 + 190\/60. Solve -i = -3*h - u*i - 15, 3*i + 21 = -4*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-232)\/812)\/(26\/14)\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 4*r. Suppose r = 7*g - 9*g + 10600000. What is g rounded to the nearest one million?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5507641 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - f = 2*p + 10, 3*f - 25 = 5*p. Which is the third biggest value? (a) 2 (b) p (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = 3*h - 1063, -5*v + 85 = -2*h + 809. What is the remainder when 905 is divided by h?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqql when four letters picked without replacement from qqlqqlqlql.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 54967, 110720, 166495, 222292?\n\"Answer: 11*x**2 + 55720*x - 764","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -20 + 45. Suppose 2*w = w + u. List the prime factors of w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7504 is divided by 1686?\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6910 by 1382.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -31, -165, -397, -727, -1155, -1681, -2305?\n\"Answer: -49*t**2 + 13*t + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 + -4. Suppose -3*y - 3 = u, d - y - 4 = -1. Suppose 15 + 1 = d*z. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 4 + (-4)\/(12\/(-87))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - 978 = -4*z - 962, 3*d + 6 = 4*z for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**2 + 3*t + 10. Let q = 24 + -24. List the prime factors of d(q).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 183, -1\/110, -510?\nAnswer: -1\/110","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**2 - 172*t + 2929. What is r(17)?\nAnswer: -284","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 31 - 85 + 63*k**2 + 52 - 30*k**2 in the form s*k**2 + p + c*k and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4228 is divided by 422?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 195042 is divided by 2952.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -455*m*p*y**2 - 19*m*p*y - 9*m*y**2 + p*y**2 + y**2 - 2373 wrt y.\nAnswer: -910*m*p - 18*m + 2*p + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -8 or -221\/29?\nAnswer: -221\/29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (98\/(-84)*79\/7)\/(1\/(-6)).\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = a - 3*a, 0 = -4*g - 5*a - 5. Suppose 6*s + g*u - 90 = s, -3*s - 2*u + 57 = 0. Let z(m) = -m**2 - 46*m + s*m + 18*m - 2. Calculate z(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11137\/20 + -557. Let n = r - -67\/180. What is x in 0*x**2 - 2\/9*x + n*x**3 + 0 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + (26 - (-6 + 44)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 3652, 20.4, 0.6, 2\/15, -3 in decreasing order.\nAnswer: 3652, 20.4, 0.6, 2\/15, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8921210\/5986533 - -2\/117383. Find the common denominator of 37\/27 and s.\nAnswer: 459","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 8*l - 3*l = -10, -3*a + 4*l + 2 = 0. Suppose 2 = p - 16. What is the highest common divisor of a and p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 427 is divided by 103?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6*-3*(-4)\/(-168))\/(8 + -9)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -248a (base 15) in base 9?\nAnswer: -11604","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 23 by -1.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -5*(3 + -2 - 12). Let p = 84 - d. List the prime factors of p.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((680\/(-119))\/20)\/(16\/(-14))\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 10*h**2 - 2*h. Let j(a) be the first derivative of 0*a**2 - 53 + 0*a - 2\/3*a**3. What is j(f(c))?\nAnswer: -200*c**4 + 80*c**3 - 8*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-110)\/(-6) + (-3)\/((-36)\/8). Is 0 less than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from wuuunwwuwwn?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -55267\/11 + 5015. Which is smaller: t or -8?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -o, -3*o - 7 - 3 = -v. Let m = 67 + -41. Suppose 9*k - m = -143. Sort k, v, 2 in descending order.\nAnswer: 2, v, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 4 and 417.9144494.\nAnswer: 421.9144494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 671 to the power of 1\/2, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/103180700 and 211\/840.\nAnswer: 619084200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -25*x**2. Let a(g) = 12635*g**2 - 2*g. Determine a(q(j)).\nAnswer: 7896875*j**4 + 50*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fnqkknmfkkkkfffkfqfq. Give prob of picking 1 m and 1 q.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -71b26e (base 16) to base 13.\nAnswer: -170b72a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -10 + 287 + 13 + -6 is divided by 73?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -17*j - 38. Calculate i(-7).\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 669197?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in one fifth of a kilometer?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add 395019 and 2299.2.\nAnswer: 397318.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -24239 + 370239. What is s rounded to the nearest 100000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.055 (b) 6 (c) 0.4 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9.4972 + 1.5782. What is x rounded to 1 dp?\nAnswer: -7.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 342990 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 611520 divided by -390?\nAnswer: -1568","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is (406599\/(-15))\/(-14 - -18 - 42\/10) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2281 - 771 - 742 - 20615*z - 768 in the form p + k*z and give k.\nAnswer: -20615","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.554386 rounded to three dps?\nAnswer: -11.554","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-696)\/2952*30 - -7.\nAnswer: -3\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3895 is divided by 57?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t*t*t*t*t**1*t*t*t*t*t*t))\/t**(-1\/2))\/(t\/t**(-2\/3))**(7\/6) assuming t is positive.\nAnswer: t**(-103\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 5*t - 5 = 0, -2*c + 18 = -0*c + 2*t. Suppose 5*u + 47 = 3*g, -56 = g - c*g + 5*u. Is (-14)\/63 + 497\/g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 + 3. Suppose 3*u + 5*t - 91 = 0, 5*u + z*u - 2*t - 100 = 0. Does 8 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-18)\/8)\/(3\/(-16)). Let z = y + -28. Let f = 6 - z. What is the smallest common multiple of 16 and f?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -3*c. Let q(n) = n**3 + 3. Let z be q(c). Let x(r) = -4*r + 6*r**2 - 4 - 3*r**2 + 6*r - r**3. Calculate x(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14 (base 10) to base 15.\nAnswer: e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 - -3.5. Let x = 0 - l. What is the second biggest value in -2\/11, x, 1\/4?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 >= -6\/956503?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 639 and 637722.\nAnswer: 639","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 169648 by -84824.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.14 and 191056.\nAnswer: 191056.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3 - -1 - (-28 - -24). Factor -4\/5 + 2\/5*j**b + 2\/5*j.\nAnswer: 2*(j - 1)*(j + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1\/5, -0.1, -8 in descending order.\nAnswer: 2, 1\/5, -0.1, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3418170 rounded to the nearest one hundred thousand?\nAnswer: 3400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -203 + 207. Solve -u = -7*g + 2*g - 2*r, -5*g + 5*r = 10 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 305 a factor of 107360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 135601 or 593?\nAnswer: 593","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/(-15) + 3332\/(-35). Which is bigger: -4 or f?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(-114) + 7\/((-24206)\/(-624)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 3*v, 0*v - 4 = m - v. Let l(x) = 8*x**3 + 4*x**2 + 6*x + 6. Let z(o) = o**3 + o**2 + o + 1. Give m*z(t) + l(t).\nAnswer: 2*t**3 - 2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the first derivative of -12*w - 3\/2*w**3 + 6*w**2 - 2. Let m(l) be the first derivative of c(l). Differentiate m(b) wrt b.\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g + 3*g - 1 - g**3 - g**3)*(1 + 3 + 3).\nAnswer: -14*g**3 + 14*g - 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 16 = -5*v, 4*d - 6 = v - 0*d. Suppose 0 = -0*b - b + v. Suppose -321 = -b*t + 113. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68)*3 + sqrt(68))*-5 + 5)**2.\nAnswer: -400*sqrt(17) + 27225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 2441166 divided by -182\nAnswer: -13413","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s = s + 5*h + 290, 3*h + 62 = s. Let r = s + -20. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12, 319, 1150, 2769, 5440, 9427, 14994, 22405?\nAnswer: 31924","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-122 - 21627\/(-178))\/(0 + -9).\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -121*q + 7. Let m(h) be the second derivative of h**3\/6 + 243*h + 3. What is m(w(s))?\nAnswer: -121*s + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*x + 3*m + 10, 0 + 6 = -5*x + 2*m for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 407?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*t + 120 = -11*t. Let s be -1 + -2 + (-3 - t) + -8. Suppose 1 = h + 2. What is the nearest to -0.1 in 0.5, h, s?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 5*h + 64. Let m(x) = x**2 - 17*x + 16. Let c be m(12). Let b = h - c. Solve 8 = -4*z - b for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 3*h = -15, 0 = -4*j - 2*h - 8 - 8. Let n be 1*(2 - 17)\/j. Suppose 0 = -4*r + 9 + 3, n*r = -5*t + 25. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3030562*h**3 - 1189*h**2 - 2*h - 82?\nAnswer: 18183372","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t + 9*f = 45, -3400*t - 4*f + 20 = -3398*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2259, 2, 469 in decreasing order.\nAnswer: 2259, 469, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: What is next in -43124, -172384, -387784, -689324?\nAnswer: -1077004","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -34, 3 in increasing order.\nAnswer: -34, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 232155 = 5*v + 4*a - 114259, 4*a = 4. Suppose 0 = -3*i + x + v, i + 2*x - 23105 = 6*x. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*s + s - 6*s + 5*s.\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 56 - 18 = 2*s, -5*s = -3*g + 73. Let n = 20 - g. Suppose -h = 4*u - 135, -3*u = n*h - 752 + 225. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n**(-1\/7)*n)\/n*n**(-14)*n)\/((n*n**14\/n*n*n)\/(n*n**10)))**(-6\/11) assuming n is positive.\nAnswer: n**(720\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2120 (base 7) to base 10.\nAnswer: -749","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(384) - -2*sqrt(384))*3)\/((sqrt(120)\/(sqrt(8)\/sqrt(2)))\/sqrt(10)))**2.\nAnswer: 10368","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - 3 - ((-45)\/(-30))\/((-3)\/2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12476922 and 78?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u - 7486 + 7482 = b, 5*b = -4*u + 28 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4281 is divided by 112.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u - 0 + 2. Let s be (-35)\/(-14) - 1\/u. What is the derivative of 0*o**3 - s + 2*o**3 + 3 wrt o?\nAnswer: 6*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**2 + j - 1. Let c(x) = -x**2. Let b(r) = -4*c(r) + 3*w(r). Let z be b(2). Solve -3*k + 2*k - z = -2*v, 0 = -4*k - 2*v - 8 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -415*b - 12 = -417*b, 4*b - 612239 = -o. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 171*h - 173*h = -546. What is the hundreds digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from {a: 6, u: 7}?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 112.1 - 5.1. Let k = z - 107.00000242. What is k rounded to 6 dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5\/31 in -1, -15, -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from igzazgiivvaivpzvzaa. Give prob of picking 2 g, 1 a, and 1 p.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -310.1666 to the nearest one hundred.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**3 + 11*n**2 - 28*n + 32. Let o be u(-13). Let h be ((-15)\/3)\/((-1)\/(-8)). Let j = o + h. Is 2 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -67, -77, -103, -157, -251, -397, -607, -893?\n\"Answer: -2*p**3 + 4*p**2 - 8*p - 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*s**3 - 135*s**2 - s**3 + 144*s**2)*(-s + 5 - 5).\nAnswer: -3*s**4 - 9*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 13 and 502?\nAnswer: 6526","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the third derivative of -v**5\/30 + 5*v**4\/2 - 75*v**3 - 14*v**2. Find g such that i(g) = 0.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 53*f - 167. Let l be u(16). Let j = -680 + l. Put -2, -5, j, -1 in descending order.\nAnswer: j, -1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - c + 143 = 0, 4*c - 27 = f - 6. Let o = f - -59. What is the tens digit of (1 - o)\/(1\/(-1))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 394.79 + -4.4\nAnswer: 390.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 483287916 to the power of 1\/6, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - 92*i + 95*i - 7 = 0, -12 = -4*i for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2*a**3 - 4)*(0*a**2 + 0*a**2 - a**2) + (0 + 0 - 5*a**4)*(-a + 1 - 1).\nAnswer: 7*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -28, -2, 1, 3 in decreasing order.\nAnswer: 3, 1, -2, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the second derivative of d**5\/15 - d**4\/8 + 2*d**3\/3 - 3*d**2 + 21*d. Let u(v) be the first derivative of w(v). What is the units digit of u(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 567*n. Let o(w) = 262*w**2 - 6*w - 3. Let b(i) = 2270*i**2 - 52*i - 26. Let l(c) = 6*b(c) - 52*o(c). What is l(a(j))?\nAnswer: -1285956*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 81226\nAnswer: 1\/81226","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -67 (base 9) to base 12.\nAnswer: -51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 73 = -4*a, 5*n + 22 = -15*a + 14*a. Let i be (20 + a)*-2*(-1)\/(-2). What is the second biggest value in i, 5\/3, 2\/27, -0.4?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 38 = -13. Sort -3, g, -8 in decreasing order.\nAnswer: g, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -3*s - 68, -s - 10 - 7 = -h. Let j(d) = -8*d - 1. Let m(f) = f - 1. Let a(l) = 22*l + 4. Let z(x) = -a(x) - m(x). Give h*j(r) - 6*z(r).\nAnswer: 2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -2059 times 40\nAnswer: -82360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*z - 113. Suppose 720 + z = 7*n. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bvd when three letters picked without replacement from {d: 3, b: 4, v: 1, f: 4, h: 3, r: 2}?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 6*z**3 + 11*z + 2. Let c(x) = -7*x**3 - 12*x - 3. Give -5*b(w) - 4*c(w).\nAnswer: -2*w**3 - 7*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 5*n - 20. Calculate the remainder when o(16) is divided by (14 - 864\/80)*5.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -8 - 1113?\nAnswer: -111b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(525) + ((sqrt(756) - sqrt(756)*-1) + sqrt(756) - sqrt(21)))\/(-1*sqrt(36)\/(sqrt(12)*1)).\nAnswer: -22*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*b*p**3*u**2*x + 4*b*p*u**2*x - 6*b*p + p**3*u*x - 3*p**2*u**2*x + 2*x wrt p.\nAnswer: -12*b*u**2*x + 6*u*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 325 - 279*h - 985 + 329 + 1047*h + 329.\nAnswer: 768*h - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4388 + x + x - x - 4310.\nAnswer: x + 78","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 118*y - 105*y + 13 = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -6*n - 7. Let d(t) = 14*t + 13. Let c(i) = -2*d(i) - 5*r(i). Let b = -4 - -12. Suppose b = 4*x - 5*x. What is c(x)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -344076 (base 8) in base 9?\nAnswer: -187185","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 16\/(-22)*1\/(-4). Let n = -0.291 - 0.009. What is the second biggest value in y, -2\/11, n?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - 53 = -52 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -195 times -0.10465\nAnswer: 20.40675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10777 is divided by 2139.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 + 3. Suppose 5 + 1 = 3*q, 4*q = h*o - 106. Let s = 35 + o. Does 27 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = 3*m - 126, 3*c - 2*m = -2*c + 189. Let y = -24 + c. Suppose 5*a + 10 = 5*u + 30, 3*a - y = 0. Sort -5, u, 4, -3.\nAnswer: -5, -3, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 54*91\/(-52)*(-1)\/((-105)\/(-10)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 13158705?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4968 + -4909. What is the remainder when 3654 is divided by v?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(-13 + 8\/1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**3 - 8*z**2 + 8*z - 5. Let n be p(-9). What is the smallest value in -2, n, -5, 2\/7?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22491, -22764, -23537, -25068, -27615, -31436, -36789?\nAnswer: -43932","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-24)\/9*((-147)\/(-28))\/(-7). Solve g*q - 123 = -121 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:58 AM and 11:58 AM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 124 - (4 + -3 + -5). Let n = 209 - h. Let i = n + -69. Which is the second smallest value? (a) i (b) -3\/7 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 4*v - 12 = 0, -4*v + 2*v = 4. What is the second derivative of 982*s**4 - d - 1031*s**4 - 23*s + 5*s wrt s?\nAnswer: -588*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62\/33 <= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 212.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -5269, -20656, -46197, -81898, -127765, -183804?\n\"Answer: -s**3 - 5071*s**2 - 167*s - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 450 and 15555?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 28 and 98?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q - 3*q - 20. Solve -2*h + q = 2*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 1\/4 of a microgram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 243999953 is divided by 123795?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 874985057?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1957\/2151 - 5\/239. Suppose 0 - 16\/9*r**2 - 2\/9*r**3 - h*r + 2\/3*r**4 = 0. What is r?\nAnswer: -1, -2\/3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 753 is divided by 27.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2.6 - 10.6. Let r = 7.9895 + c. What is r rounded to 3 dps?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/(-4)*-5*3*60 a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -89878*t + 269632*t - 89888*t - 89882*t.\nAnswer: -16*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 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: Calculate (7 - 18) + -42 + 14 + 15 + -96.\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*q**2 + 13*q**2 - 12*q**2 + (-13*q + 11*q - 12*q)*(-q + 1 - 1).\nAnswer: 19*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-2*sqrt(726) - -2*(sqrt(726)*2 + sqrt(726) + sqrt(726)))\/((sqrt(64) + (sqrt(64) - -2*sqrt(64)*2))\/sqrt(8)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1210*r + 234 = -1201*r. Solve -8*a + 2 - r = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (((-2)\/(-1))\/(-36))\/((-222420)\/294201) and -85\/528.\nAnswer: 2640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1881 + 0.077.\nAnswer: -1880.923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 + 12. Let a = 7 - y. Suppose -3*x = 5*f - 7 + 1, 3*x - a*f - 6 = 0. Calculate the least common multiple of 8 and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4700?\nAnswer: 2, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 + ca?\nAnswer: d0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**2 - 10*d - 1. Let o = 14 - 10. Suppose 3*z = -o*g - 40, -2*z - 27 - 5 = 4*g. What is the units digit of r(z)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:22 AM and 12:42 PM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1158631312 to the nearest integer?\nAnswer: 1050","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times 0.47339?\nAnswer: 0.236695","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cgfxz. What is prob of sequence gf?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 2*z**2 + 96*z + 588. Give j(-7).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 225110?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**12*v*(v\/v**(-2\/7))\/v*(v\/v**(-1\/3))**6 assuming v is positive.\nAnswer: v**(149\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -398*f + 47930 - 6936 = 0 for f.\nAnswer: 103","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(-4\/13)\/y*y*y*y**14)\/(y**(4\/17)\/(y\/(y**(-20)*y))) assuming y is positive.\nAnswer: y**(7836\/221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 933 and 160?\nAnswer: 149280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*p**3 + 2*p**3 - 10754 - 6*p**3 + 10754 - p**3.\nAnswer: -2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -68, 15, 144, 337, 612?\nAnswer: 987","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15901583?\nAnswer: 15901583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*g - 5 = 25. Let j be ((-14)\/g)\/((-52)\/78). Suppose -260 = j*y - 918. What is the tens digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j + 10. Let k be q(2). Let f(t) be the first derivative of -3\/5*t**5 + 0*t**4 - 7 + 0*t**2 + 0*t**3 - k*t. Differentiate f(h) wrt h.\nAnswer: -12*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22420 (base 6) in base 2?\nAnswer: -110001101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 7)*(m**2 - m + m) + 7*m**2 - 9 + 9.\nAnswer: 12*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11947 or -3?\nAnswer: -11947","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dddddddq. Give prob of picking 3 d.\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 62180797 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 965479 > 965478?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 285, 290, 295?\nAnswer: 300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -74\/146103 and 22\/42417?\nAnswer: 1314927","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/25 of a millennium?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**2\/2 + 3143445*v - 9881246468025\/2.\nAnswer: -(v - 3143445)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:57 PM and 5:19 PM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qwwx when four letters picked without replacement from xxwxqxxxqxqxxwxxqwxx.\nAnswer: 13\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11 + 5. Suppose -468 = -9*l + 3*l. Suppose 3*k = 3*w - 6*w + l, -w + 5*k = -14. What is the lowest common multiple of g and w?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 184689 and 57.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**3 - 15*p**2 - 89*p - 485. What is q(-11)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*d + 3*d - 8*d - 22*d.\nAnswer: -27*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16 and 62597.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -10990, -21935, -32848, -43729, -54578, -65395?\n\"Answer: 16*i**2 - 10993*i - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20294, -7, -1, 1 in decreasing order.\nAnswer: 1, -1, -7, -20294","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from slvfvlsgo. Give prob of picking 1 v, 1 l, and 1 f.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 481305?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, 0.5, 0.106?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 + -5. Let g = l - -6.3. Sort g, -1, 2 in decreasing order.\nAnswer: 2, g, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68909 is divided by 22963.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (-3 - -18) - (-86 - -87)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 159336 is divided by 4251?\nAnswer: 2049","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the third derivative of -g**5\/120 + g**3\/2 + 3*g**2. Let s(b) be the first derivative of u(b). Let d(k) = 9*k**2. Give s(d(x)).\nAnswer: -9*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 4*h - 2. Let d be b(1). Let z be 1 - 3 - (-2 - -4). Let t(f) = -f**3 - 3*f**2 + 4*f + 3. Let n be t(z). Is n equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, -0.3, -3, -2\/29, 4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*q - q - 4*q)*(-3*q**2 - 1 - 6 + 1)*(0 + 2 - 5) in the form y*q + k + o*q**3 + j*q**2 and give y.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 140857*h + 563410. Calculate w(-4).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(((-136)\/(-36))\/(-17))*(-4)\/(-6)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 10080 to the power of 1\/2, to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in thirteen quarters of a kilogram?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*w**3 + 14*w**3 + 15*w**3.\nAnswer: -2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) + 0 + -4 - sqrt(13)) + (sqrt(13) - (sqrt(13) + 0 + -3)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1405?\nAnswer: 5, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/2 - 33\/(-6). Let h = o + -9. Let d = -2 - h. Does 2 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1256 = 3*o - 4*s, -4*o - 1684 = 2*s + 2*s. Let l = o + 592. List the prime factors of l.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 277\/(-4) - (-3889)\/15556.\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 57*c + 970. Calculate n(-24).\nAnswer: -398","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-2\/43)\/g*g**(-7) assuming g is positive.\nAnswer: g**(-346\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2 or 16999235?\nAnswer: 16999235","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 - 9. Let k = f - -9. Suppose -4*x + k*x = -14. Does 7 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -4153*b + 2884. What are the prime factors of w(-15)?\nAnswer: 65179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -335.8393 and -5?\nAnswer: 330.8393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:50 AM and 10:52 AM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 39.7 + 20.5. Let r = -70 + z. Let g = r + 4.8. What is the nearest to -1 in g, -0.7, 0?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*f*h*r**3 - f*h*r**2 - 72879*f*r**3 - f*r**2 + 13*f*r - 14*h*r**3 + h*r - 9*h + 2*r**2 - 406*r wrt r?\nAnswer: -12*f*h - 437274*f - 84*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and 0.3881?\nAnswer: 1.5524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -2*p + 2*y - 2, -3*p + 12 = -5*y for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 789596.\nAnswer: 2, 109, 1811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (-23 - -6) - (-2 - -6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:25 PM and 11:42 PM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*((sqrt(42)\/sqrt(2) - sqrt(21)) + sqrt(21)) - sqrt(126)\/(sqrt(12)\/sqrt(2)))*-4)\/(1*sqrt(448) + sqrt(448) + (sqrt(448)*1 - sqrt(7))).\nAnswer: -12*sqrt(3)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 8*h - 116. Let g be v(14). Sort g, -1, 38.\nAnswer: g, -1, 38","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2*(-5161)\/(-1326) - 7) + (-10)\/(-425)*-5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -20*b**2 + 2*b - 521. Let z(x) = x**2. Calculate f(z(l)).\nAnswer: -20*l**4 + 2*l**2 - 521","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggbgbbggbbdgbg. Give prob of picking 4 g.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 196*j - 117*j**2 - 196*j.\nAnswer: -117*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 k, 1 b, and 1 s when four letters picked without replacement from {k: 2, b: 2, s: 1, c: 4, l: 1}?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.1283 - -0.0717. Let n = -5 + 12. Which is the smallest value? (a) n (b) p (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5099650*t**2 - 11466106?\nAnswer: 10199300*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 88312657*s - 112729408?\nAnswer: 88312657","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 + -1. Let q be 24\/36 + 2\/(-3). Put q, -4, c in decreasing order.\nAnswer: c, q, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6940639354?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*r - z + 6, 0 = 5*r + 3*z - 0*z - 15 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -5 - (-54)\/10 - 96\/190. Let s be (-2)\/1 - ((-119)\/4)\/17. Sort s, -1, 1, x.\nAnswer: -1, s, x, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**2 - 7*q + 9. Let x be (-200)\/(-28) + 1\/(-7). Give c(x).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) -0.2 (c) -1\/8 (d) 28708 (e) -3\/2 (f) -4.8 (g) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -2*n**2 + 9*n - 7. Let p be d(3). Sort p, 5, -2 in descending order.\nAnswer: 5, p, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 + -67.1.\nAnswer: -69.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(117))*-3 + -3*(sqrt(117) + 0))**2.\nAnswer: 4212","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 43 and 5504.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((1\/(4\/18))\/69)\/(75\/(-100)).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h*h**(-13))\/h*h**(-1\/11)\/h*h**(5\/4)\/h*h*h**15)**(-48) assuming h is positive.\nAnswer: h**(-1668\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c + 10. Let j be (0 + 74)*(-1 + c). Find the common denominator of (2\/30)\/(8\/j) and 125\/6.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(1 + sqrt(108))**2.\nAnswer: 72*sqrt(3) + 654","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 1278?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2152*d - 16*d**2 + 1822*d + 135*d**4 - 6098*d - 53*d**4 - 71*d**4 wrt d?\nAnswer: 132*d**2 - 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1\/6 - 1\/3. Let x = 8 - 8. What is the nearest to 1 in x, 1\/2, h?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -3 + 7 - 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r**2 - 3*r**2 - r**2)*(3*r**3 - 5*r + 5*r).\nAnswer: -6*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.0098 - -20.6902. Let v = -18.0569 - 0.1031. Let l = n + v. Round l to 1 decimal place.\nAnswer: 2.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 742*m + 3700. Let x be t(-5). Let o(c) = 15*c + 147. What is o(x)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-19) + (-110)\/(-380)*-10?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:34 PM and 11:49 PM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 6689 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 77, 146, 215, 284?\nAnswer: 353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(4)\/sqrt(2)*-4 + sqrt(2) - sqrt(16)\/(sqrt(24)\/sqrt(3)).\nAnswer: -4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 142910 smaller than 142909?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2569)\/(-10) - 15\/(-150). Let m = -222 + v. What is the greatest common divisor of 25 and m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90188.34l in millilitres?\nAnswer: 90188340","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 270 + 14. List the prime factors of q.\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 868.8703 tonnes to grams.\nAnswer: 868870300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a millimeter in micrometers?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/6)\/(48\/128)?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62686 is divided by 20895.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13453*t + 2 - 2 - 13442*t.\nAnswer: 11*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/14 + 273\/(-637)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 2*x + q, 4*x + 44 = 3*q - q. Let g be 4 - 0 - (1 - 1). Let u = x + g. Which is greater: u or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -3*t**2 - 2*t - 5. Give p(-3).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**3)\/g**(-7))\/((g\/g**(-4))\/g**(-2)) assuming g is positive.\nAnswer: g**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1302, 3264, 5888, 9168, 13098?\nAnswer: 17672","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.074 and -258.779.\nAnswer: -19.149646","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 2*n**3 - 7*n**2 + n + 15. Let m be r(5). Let u = m - 148. Let k = -369\/7 - u. Which is greater: k or 15\/2?\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0.5 (b) 3 (c) 1 (d) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q + 3. Let a(v) = 3*v**3 + 3*v**2 + 24. Let b(n) = -a(n) + 12*f(n). Factor b(h).\nAnswer: -3*(h - 2)*(h + 1)*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 14112835 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 - 3. Let p(j) = -2 - o*j + 8 + 0. What is p(4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -3*g**4 + 7752*g**3 - 7511688*g**2 + 3235033632*g - 522457931568 = 0?\nAnswer: 646","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 5*c**2 - 7*c + 9. Let h be t(4). Find the third derivative of 0*x**3 - h*x**4 - 5*x**2 + 68*x**4 + 0*x**3 wrt x.\nAnswer: 168*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(2\/5)*p*p**41*p*p)**(-32) assuming p is positive.\nAnswer: p**(-7104\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5212 + 5209. Which is the smallest value? (a) -1\/59 (b) -2\/7 (c) m (d) 0.3 (e) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z - 24. Let u be f(-20). Let h be (11 - 4)*u\/(-14) - 0. Let 2\/3 + 8\/9*a + 2\/9*a**h = 0. Calculate a.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u + 4*p - 2*p - 20, -4*p + 15 = 3*u. Suppose -8*x + u*x = -36. What is the smallest common multiple of x and 2?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8692, 8705, 8724, 8749?\nAnswer: 8780","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 + 4. Let s be 12\/(-3) - (-1 - 1). What is the nearest to w in 3, s, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -2*d**2 + 47*d - 71. Suppose -5*k + 92 = -k - 2*c, 4*c - 14 = -k. What is s(k)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the first derivative of 61*v**4\/4 + 4*v**3\/3 - 3*v**2\/2 - 63. What is the third derivative of i(a) wrt a?\nAnswer: 366","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(35)\/(-1*sqrt(7) - sqrt(7)) + (sqrt(60)\/sqrt(3))**2) - (4 + -4*(sqrt(320) + sqrt(320) + -1)).\nAnswer: 92 + 123*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k - 0 - 3. Let i = 2 - k. Let y = -0.03 + 0.33. What is the nearest to i in -1\/5, 0.1, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*r + 3*l - 35, 4*r + l + 10 = r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (12\/(-90))\/(1\/(15\/3))\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 17244088066 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 90\/(-4)*(-4)\/(-5). Let j = b + 10. Is 186 - 4\/(j\/2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 + 16 + -12 - (7 + -8 - 45)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2221110021122121 + 10?\nAnswer: 2221110021122201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2, 5, -7, -2, -1549, -3.\nAnswer: -1549, -7, -5, -3, -2, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 16014*k**3 + 1 - 20*k**5 - 16014*k**3 - 24*k wrt k?\nAnswer: -400*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 197155700 rounded to the nearest one hundred thousand?\nAnswer: 197200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 5.630736 nanograms?\nAnswer: 0.000000005630736","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -87 (b) 0.4 (c) -0.0209 (d) 5\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4614 + 7878. What is the greatest common divisor of p and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -201\/2*r - 1\/2*r**2 + 101 = 0. What is r?\nAnswer: -202, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(128) + 4)**2 - sqrt(128) - ((sqrt(128) - sqrt(128)*-1) + -3)**2.\nAnswer: 7 + 216*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 135106 and 5418?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is (900\/(-600))\/((1\/(-6))\/((-8986)\/(-6))) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 149*b**3*h**2 - 516381*b**3*h + 1497*b**2*h**2 + 2*b**2 wrt h.\nAnswer: 298*b**3 + 2994*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -57 - -57.1. Are 2 and y equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 8 = 5*l. Let u be -2 + 6 + -3 + l. Is u less than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:27 AM and 4:17 AM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3 - 3)\/((-3)\/1). Solve 0 = -2*i - j*i + 3*u - 13, -4*i - 2*u = 18 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-10 + 5 + 6)*(0*m**2 - m**2 + 0*m**2) + (-159 - 125 + 106 - 2*m)*(4 - 1 + 0)*(0 + 0 - m) as x + k*m**2 + f*m and give f.\nAnswer: 534","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 + 69\/(-75))*2. Let z = x + 38\/75. Factor 0 - 2\/3*p - z*p**2.\nAnswer: -2*p*(p + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 2*c + 31. Give o(-10).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i + 2*i - 12. Let h be 3\/12 - (-1317)\/i. Let d = 193 - h. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 132, -6, 39, -17?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.404898 millennia to decades.\nAnswer: 840.4898","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4491 and 68261703.\nAnswer: 1497","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 5209670?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -79827139 divided by 367867.\nAnswer: -217","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 692, 1384, 2076, 2768, 3460, 4152?\nAnswer: 4844","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -2983*v**3 - 10*v + 2. Let u(f) = -23866*f**3 - 85*f + 17. Determine 17*n(t) - 2*u(t).\nAnswer: -2979*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 712*x**2 + 17*x + 18. Let q be f(-1). Calculate the greatest common factor of q and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 696584 is divided by 696533?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0034*-9.\nAnswer: -0.0306","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1205 >= 4821\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 7*l + 1. Let h be b(1). Suppose 0*o = o - h. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.024 + 2679\nAnswer: 2679.024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes before 12:13 PM?\nAnswer: 10:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = 6, -2*p = 4*a - a. Let c(i) = 7*i + 6. Let l(d) = 6*d + 7. Let t(b) = 4*c(b) - 3*l(b). Is 12 a factor of t(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 0 = 10\/15901?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p\/(p\/p**9))*(((p\/(p**(2\/7)\/p*p))\/p)\/p*p*p)\/p)\/(p\/p**(-1\/2))**(-3))**(1\/4) assuming p is positive.\nAnswer: p**(-53\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*k + k**2 + 0*k**2 - 10*k to a*k + d*k**2 + i and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 48, 47, 46, 45?\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 432 is divided by 31?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (-736)\/(-7) + (-20)\/140 and 10.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1949 + -132525\/68. Let w = 6\/17 - y. Suppose -9 = -2*u + 2*h - 1, 5*u + 20 = -3*h. Which is the nearest to u? (a) w (b) -1 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**3 - 6*c**2 + c + 6. Let b(u) = 9 + 2 + 9*u - 3 - 7*u. Let g be b(-7). Give t(g).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 6748747 - -143?\nAnswer: 6750001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17684961 divided by -5894987.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -11012122111 (base 3) to base 7\nAnswer: -463354","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(5\/3)*a*a**0)\/(a\/(a*a**1)*a)**(4\/7))\/(((a\/a**(1\/3)*a)\/(a\/(a**(3\/2)*a)))\/(a**(2\/11)*a\/a**2)) assuming a is positive.\nAnswer: a**(-29\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 8*k + 12. Let j(q) = -q**3 - 7*q**2 - 5*q + 8. Let c be j(-6). What is the common denominator of 151\/6 and m(c)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 - 145 = -5*d. Let l = -14 + d. Let c be ((-1)\/(-2))\/((-1)\/(-6)). Solve -l + 3 = c*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 + 64\/(-18))*(-80 + 83)*-6?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 2*c**2. Suppose 17 = -i + 5*s, 9 = -2*i + 5*s - 5. Let v(d) = i*d - 2*d**2 + d**2 - 3*d. Give y(v(u)).\nAnswer: 2*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2622 or 2709?\nAnswer: 2709","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 85 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6278378?\nAnswer: 2, 3139189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a micrometer in nanometers?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 71 - 39. Let b = -1034 - -1062. Is b less than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 998182?\nAnswer: 2, 137, 3643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 68 - 109. Let f = -5 - o. Suppose -y + f = 3*y. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -11*i + 38. Suppose -111 = i*c - 8*c. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the third derivative of 41*k**5\/12 + 16*k**4\/3 - 103*k**2 - k. What is the second derivative of c(g) wrt g?\nAnswer: 410","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -96 - -28.\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -30612*t + 29488*t - 29224 for t.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2744224 is divided by 1062.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.1 + -0.1. Let q = -1 + b. Let y = 3.41 + -3.11. Which is smaller: y or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -973 - -973. Let y = 13 + -21. Let u = -5 - y. What is the closest to 9 in -1, u, o?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f. Let q(z) = -12*z - 4 + 4 + 2. Suppose 0 = -10*c + 37*c - 27. Let k(a) = c*q(a) + 2*t(a). What is the derivative of k(n) wrt n?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = 3 + 3. Let j(c) = 168*c**2 + 3*c + 5. Let d be j(t). Suppose -2*v + 3*a = -d, a - 5*a + 4 = 0. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2*(-6)\/280)\/(3050\/10675)?\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 54\/(-12) - ((-63)\/(-9) - 11)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of n**4 - 365*n**3 - 10117*n**2?\nAnswer: 24*n - 2190","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12 + 18. Suppose -3*a + b*a = 110529. Suppose -5*m + 15657 + a = 0. What is m rounded to the nearest one thousand?\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3\/6)\/(1\/20). Let h be 7\/4 + (-5)\/v. Let z = -0.3 - 0.2. What is the third biggest value in h, -2, z?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -870062325.6 to the nearest 100000.\nAnswer: -870100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 + 8. Suppose -5*y + r = -7, 9*y - 12*y + 3*r - 3 = 0. Let x be 0 - (-9)\/(-18)*y\/6. Sort -4, i, x in ascending order.\nAnswer: -4, x, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 9) + (67 - 47).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -296 - -536. Is f a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 196 and 343?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4\/6)\/((-2)\/6). Let x be (l - (-6)\/3)*-1. Let f(r) = -r**2 - r + 2. What is f(x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 2*y + 312 = -b, -4*b - 142 = 2*y. Let o = 79 + y. Which is smaller: -3\/43 or o?\nAnswer: -3\/43","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1720, 6893, 15508, 27559, 43040, 61945, 84268?\n\"Answer: -h**3 + 1727*h**2 - h - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**3 - 17*p**2 - 51*p - 16. What is the remainder when b(-17) is divided by 845?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*o - 188 = 70 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*d - d - 7*d to c*d + k and give c.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1239?\nAnswer: 3, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -9*z - 222. Let j(c) = -8*c - 202. What is 3*b(m) - 4*j(m)?\nAnswer: 5*m + 142","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*m + 175 = -14*m. Let p be (-2)\/1 - 80\/m. Determine q, given that 2\/7*q**3 - 2\/7*q + 2\/7 - p*q**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + i + 4*i**2 - 4*i**2 - 2*i**3)*(-3 - 7 + 4)*(293 - 467 - 562) in the form c*i + k + p*i**3 + a*i**2 and give k.\nAnswer: 8832","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 42 + -4244?\nAnswer: -4202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 1891*p + p**3 + 2*p**2 - 3 - 942*p - 951*p. Give o(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9*l**2 + 128*l**6 - 16*l**6 - 2*l**3 + 4*l**3 wrt l?\nAnswer: 13440*l**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -4*(0 + -2) + -3. What is the second derivative of t + t**2 - 3*t**w + t**5 - t**2 wrt t?\nAnswer: -40*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -606.3 + -0.6.\nAnswer: -606.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7\/(-3 + 2 + 22620\/22591).\nAnswer: 7, 19, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*m**6 + 5*m**2 + 11*m**2 - m**6 wrt m?\nAnswer: -480*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(6*sqrt(468)*-1 + sqrt(468)))**2 + -3 + -3*(sqrt(468) + -4 + sqrt(468)).\nAnswer: -36*sqrt(13) + 11709","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.0954 - 0.0954. Put -7, -15, j, 0.4 in decreasing order.\nAnswer: 0.4, j, -7, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 23 - 18. Let j = 115.1 - 110. Let a = j - s. Which is smaller: 0 or a?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8145 bigger than 8145?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7.76 - 8.179. Round l to one dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3013*y = -8246 - 20106 - 52999 for y.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 4*v + 103 = -2*b, 44 = -2*b + 3*v. Let r = b + 23. Suppose -r*g = -19 - 1. Solve -i - 2 = -g for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**3 + 6*l**2 + l - 4. Let r be a(6). Suppose 5*s = s + 24. Suppose -r*k = -2*n - 64, -3*k - s*n + n + 96 = 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: What is 0.0258 times 0.2?\nAnswer: 0.00516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 189?\nAnswer: 5\/189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 53189310 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**3 - 4*l**2 - 3*l - 8. Let n be p(5). Solve -n*o - 9 = -b + o, 4*o = 4*b - 20 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3130760206557602\/23309 - 134315509286. Let t = 4\/2119 + l. Let a = -26 + t. What is the common denominator of a and -23\/6?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmoz when four letters picked without replacement from omzm.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*a**3*i**3 - 98*a**3*i**2 - 202161*a**3 + 21898*i**3 wrt i?\nAnswer: -24*a**3 + 131388","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -2*v**2 + 7*v + 17. Let m be o(-2). Let l be ((3 + m)*35)\/(-2). What is the highest common factor of 385 and l?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43770697 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 3 e when four letters picked without replacement from aaaeeeeeaeeaeedea.\nAnswer: 36\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*s - 3*s. Let j(n) = 11*n + 52. Let o(c) = 8*c + 52. Let w(t) = -3*j(t) + 4*o(t). What is the tens digit of w(s)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4358, 4992, 5626?\nAnswer: 6260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 326 and 12522480.5545?\nAnswer: 12522154.5545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1617 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4682.\nAnswer: 2, 2341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 3*d - 10*d - d**2 - 7 + 2 - 4. Let x be q(-6). Let o = -675 - -674.8. Which is the closest to x? (a) o (b) -5 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1497*r + 1489*r + 39040 = 0. Calculate the smallest common multiple of 50 and r.\nAnswer: 24400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1672\/(-44))\/(-342)*(-1)\/(-1)\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -66*i**3 - 429*i**3 - 72*i**3 + 892*i**3.\nAnswer: 325*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1198483.\nAnswer: 11, 13, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -954*w - 160 = -955*w + 5*d, 2*d = 2*w - 56 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the first derivative of 5\/2*h**2 - 1\/30*h**5 + 2\/3*h**3 - 4 - 1\/12*h**4 + 0*h. Let f(o) be the second derivative of p(o). Let f(d) = 0. Calculate d.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2189156857 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -233*v**3 + 13*v**2 - 4*v + 4. Is 8 a factor of h(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 * 1038363\nAnswer: 4153452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 114 + 89*t**2 - 112 + 26*t**2.\nAnswer: 115*t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k**2 + 2*k**2 + 0*k**2)*(-15*k - 1 + 2*k**2 - 2 + 4).\nAnswer: -2*k**4 + 15*k**3 - k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/7, 0.7, -4\/9, 0.3, 0.55?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 29645955\/365377844 - -5\/1067316. Let i = h - 1\/237. Which is greater: i or 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -122010323 (base 4) in base 2?\nAnswer: -11010000100111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2026, -0.3, 5 in increasing order.\nAnswer: -0.3, 5, 2026","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2966*m = 2968*m - 1778. Is m a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 3468, 3891, 4598, 5589?\n\"Answer: 142*v**2 - 3*v + 3329","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*y - 371*y**2 + 2*y + y + 129*y**2.\nAnswer: -242*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s when three letters picked without replacement from {s: 3, f: 2, t: 5, h: 6, d: 2}?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -1839*v**2 - 41*v + 36. Let h(d) = 5517*d**2 + 116*d - 102. What is -6*h(a) - 17*l(a)?\nAnswer: -1839*a**2 + a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -163*d + 3*c + 11 = -165*d, -9 = d + 2*c. What is the nearest to 0 in 1, -0.035, d?\nAnswer: -0.035","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9429241 to the power of 1\/2, to the nearest integer?\nAnswer: 3071","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n**(-10))\/n)\/(n**(-4)*n))**(17\/3) assuming n is positive.\nAnswer: n**(-119\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 896 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9878\/2694)\/(12\/(-36)*-1).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o**2 - 3 + 3)*(64*o**2 - 201*o**2 - 54*o**2)*(-4 - 2*o + 4).\nAnswer: 382*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 235*c**2 - 662*c**2 + 159*c**2 + 208*c**2 + 173*c**2.\nAnswer: 113*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**3 - 28*f**2 - 34*f + 157. Let y be h(29). Suppose -3*o + 145 = -8*o. Let q = o - -53. Solve 3*d = -5*b + q, -4*b - d + y = -b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2509 - -0.6.\nAnswer: 2509.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-9)*2)\/((-70)\/525).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1790629 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 270 times -0.16547\nAnswer: -44.6769","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 237572680 divided by 40?\nAnswer: 5939317","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 13*j**3 + 4*j**2 + 12*j - 81. Let w(c) = -11*c**3 - 3*c**2 - 6*c + 81. Let h(m) = -6*l(m) - 7*w(m). What is h(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 15 - 23*y**2 + 26*y**2 + 12.\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -5*a + 2*m + 28, a + 3*m = -3. Let g be a\/(9\/6) - 0. Suppose -6*x + 6 = -3*x. Solve 0 = 2*r + 6 + g, -x*r = 3*i - 4 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(315)*-3*3)\/sqrt(7)*2 + -1.\nAnswer: -1 + 108*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 47, 77, 107, 137, 167?\n\"Answer: 30*v + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -5*v - 22, 2 + 1 = -3*v. Let s = -30 + k. Let t = s + 21. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 54156 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6 - 0\/(6\/2). Let z(f) = -9 - 4*f**2 - f**3 + v*f**2 - 10*f - 11*f**2. Let g be z(-8). Which is bigger: 0 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5\/(276\/68 + -4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55*a**2 + 51*a**2 - 2 + 2.\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - w = -899578, 37*c - 35*c - 599718 = -w. What is c rounded to the nearest one thousand?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1, 29 in increasing order.\nAnswer: -1, 4, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the first derivative of -2875*n**6\/2 - 1121*n**3 - n**2\/2 - n - 6156. What is the third derivative of h(p) wrt p?\nAnswer: -517500*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 9 = -2*p. Let z(d) = 7*d**2 + 2*d + 2. Is z(p) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 14\/4 - 3\/6. Suppose 5*s - 18 + 2 = -3*p, -2*p = -l*s + 2. Suppose -2*h = p*h - 20. Solve -4 - 3 = -x + z, -2*x = h*z for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.03842 - 0.03842. Sort 0.2, 0.1, -3, 1\/2, t in increasing order.\nAnswer: -3, t, 0.1, 0.2, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 210878652?\nAnswer: 2, 3, 17573221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 224 + -228. Suppose -4*g + 8 = -4. Suppose g*c - 1 = 14. What is the second smallest value in 0.2, u, c?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/23 in 1, -1, -0.5, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-112)\/((-342)\/(-306) - (0 - -1)). Let r be -3*(1 + (q\/(-474) - 3)). What is the closest to r in -0.3, -4, -0.4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -115*u**6 + 2*u**5 - 136*u**2?\nAnswer: -13800*u**3 + 120*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-20)*10*(-3)\/(-84)\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2*7\/(-28)*12\/63\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 w, and 1 q when three letters picked without replacement from yqymywqqybbybwqwqm.\nAnswer: 25\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20250 - 5\/2*f**3 - 20700*f + 905\/2*f**2.\nAnswer: -5*(f - 90)**2*(f - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*r + 20*r = -3345. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9472 - 9471.82455. What is z rounded to two decimal places?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/(u**(-2)*u)*u)\/u)\/((u**(1\/26)\/u)\/u))\/(u**3\/u)**(1\/41) assuming u is positive.\nAnswer: u**(4171\/1066)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94*p + 170*p + 2*p = 3458 for p.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1881436 to the nearest integer?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -74 + 13. Let u = x - -61.029. What is u rounded to two dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**3\/15 - 158*k**2\/5 + 9282*k\/5 + 28322\/15.\nAnswer: 2*(k - 119)**2*(k + 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - 4*y - 8 + 32, -4*w = -5*y + 21. Let s = w - -9. What are the prime factors of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1630 and 618096.\nAnswer: 326","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -7*i + 11. Let u(n) = -4*n + 6. Let z(l) = -3*t(l) + 5*u(l). Let s(a) = a - 1. Let m(k) = -5*s(k) - z(k). Is m(-11) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 37321 - 37298. Solve 0 = -22*u + k*u - 4*r + 24, 5 = r for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 2*k + 12 + 11 - 23. Let a(v) = -9*v + 1 - 1. What is a(t(y))?\nAnswer: -18*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*a = -2*f - 8*a - 8, -f = -2*a + 7 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -2*m + 2. Let k be (-1 - 3\/(-2))*(30 - 34). What is y(k)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 23328 and 96?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q. Let r(l) = -11680386*l**2. Give m(r(n)).\nAnswer: -11680386*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 149311?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/4 + 5\/4. Suppose 2*s + 192 = 198. Suppose s*g = q + 5. Solve -3*c + g = -4 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 7895 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -9*j + 11. Let u = -5 + 1. Let f be 56\/(-10) + u\/10. Let k(y) = 5 + 4*y + y - 10*y + y. Calculate f*i(x) + 13*k(x).\nAnswer: 2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 140905181?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zcwkeeg. Give prob of sequence ewgk.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 237066 = -4*u, 14812 = 2*u - 4*d - 103746. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39779 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.5 and -5.675.\nAnswer: -6.175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 9\/90*15\/((-315)\/28)\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b - 16*b - 47670. Let m be (-20 - b)\/(6\/1144). Round m to the nearest ten thousand.\nAnswer: 430000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 132 and 176?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -597\/46 or -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -26\/9 in -9, -0.05, 353, 12, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 423663 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*j + 14*j + 1092 = 0. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*r**2 - 310 + 442 - 132.\nAnswer: -7*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -o + 3*o - o + 1 + 2*o - 1 - o + 4*o - 4*o + (1 + 1 - 5)*(0*o + o - 2*o) + 19 - 91*o - 8 + 98*o.\nAnswer: 12*o + 11","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.010645135 rounded to four decimal places?\nAnswer: -0.0106","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5*27\/(-420)*7\/6.\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 2*c**2 + 13*c + 14. Let a be 1*((-50)\/5 - -1). What is the tens digit of s(a)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 343 - 343.000064. Round x to 4 decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**3 + 9*x**2 - 104*x - 1726. Calculate t(-15).\nAnswer: -1516","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 2*g**2. Let d be o(-1). Let b = d - 2. Let x = 14.2 + -35.2. Is b <= x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 150058927 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9551084?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 4\/((-3696)\/504 - 8\/(-6))\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (20\/38)\/((-362)\/(-3439)). Solve 5*p - 26 = 2*c, 8*p + 3 = 5*p - x*c for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 12*j**3 - j. Let g be p(1). Calculate the common denominator of 26\/(-6)*36\/120 and 45\/g*(-6)\/(-15).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -13, -8, -3?\n\"Answer: 5*u - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add 238.2490369464 and -0.07.\nAnswer: 238.1790369464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the first derivative of -q**4\/4 + q**3 + 4*q - 2. Let x be w(3). Suppose -x*m = -3*s + 139, -s = -6*s - 3*m + 280. What is the tens digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1.095421 and -5.\nAnswer: -6.095421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/(-6) + 1040\/48. Suppose -8 + 168 = 5*u. What is the remainder when u is divided by (-261)\/(-21) - 9\/n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/2 of a decade in years?\nAnswer: 215","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.12491759 rounded to three dps?\nAnswer: -0.125","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -12 + (11 - 4)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -2*z - 34. Let c be h(-14). What is the hundreds digit of (-16)\/24 + (-1792)\/c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 + 165*g + 169*g + 172*g + 2*g**4 - 511*g + 2*g**2 - 4*g**4 + 3*g**3 as f*g**3 + z*g**4 + k*g**2 + i + v*g and give v.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 13 = -8. Let p = x - 29. Let y be (-2)\/4 + 143\/p. Is y less than or equal to -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3058 + 3159. What is the remainder when 283 is divided by q?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 155264, -5, 18, 1 in descending order.\nAnswer: 155264, 18, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence snh when three letters picked without replacement from {v: 2, h: 1, r: 1, n: 4, s: 3}.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the third derivative of -661*o**6\/120 + 19*o**4\/24 - 17*o**3\/6 - 2361*o**2. Find the second derivative of h(q) wrt q.\nAnswer: -3966*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 5, x: 2, l: 2}. What is prob of sequence liix?\nAnswer: 5\/189","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/2*-3 - -2. Let t = -202.4 + 202. Let v = -0.34 + 0.04. Which is the third smallest value? (a) i (b) v (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**3 + 7*u**2 - 12*u - 32. What is b(-8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(126) - (sqrt(126) - (sqrt(126) + sqrt(126)*2 + sqrt(126))) - sqrt(126))\/(-1*sqrt(72)))**2.\nAnswer: 63\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-58)\/87*(-42)\/4?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 304859 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 7*l. Let k(m) = -83499*m. Determine v(k(f)).\nAnswer: -584493*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 348033.\nAnswer: 3, 7, 16573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/((-16)\/26)*34\/(-442)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/3*(-7)\/(28\/2472). Let p = g + 517. Suppose -2*t + 648 = 4*y, -t - 3*t + y + p = 0. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, b: 3, r: 3, s: 1, m: 1, h: 5}. What is prob of sequence gg?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*u - 910 = -4982. Let n = 472 - u. Which is smaller: -36 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/6, 58.59, -118 in increasing order.\nAnswer: -118, 1\/6, 58.59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of h**3*y**3 + 928*h**3*y + 20*h*y**3 - 18*y**3 + y**2 wrt h.\nAnswer: 6*h*y**3 + 5568*h*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -52 - -112. Suppose 0 = 243*r - 1830 - 2544. What is the greatest common divisor of r and v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -34, 7, 34 in decreasing order.\nAnswer: 34, 7, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15 - -30. Let x = t - -49. What is the remainder when x is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 2765.332 years?\nAnswer: 276.5332","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2121881 and 0.05?\nAnswer: -106094.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -50 + 49. Let i be (-1)\/1 - g*40\/4. Let y(k) = 25*k + 34. Is y(i) a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1204723593, -1204723590, -1204723585, -1204723578, -1204723569, -1204723558, -1204723545?\n\"Answer: k**2 - 1204723594","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes before 9:14 AM?\nAnswer: 1:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(192) + -1)*5 - (-4 + sqrt(192) + -1*sqrt(192)) - (-1 + (sqrt(192) - 3*(2 + sqrt(192)))))**2 + 4.\nAnswer: 672*sqrt(3) + 9448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.19 - 0.19. Which is the smallest value? (a) -9 (b) m (c) -1\/9 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -3427, -2985, -2247, -1213?\n\"Answer: 148*a**2 - 2*a - 3573","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -167, -352, -597, -932, -1387?\nAnswer: -1992","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -47*h**5\/8 - 307*h**4 - 2033*h**3\/8 + 4959*h**2\/2 + 7227*h\/2 = 0. Calculate h.\nAnswer: -2409\/47, -2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 30*c**3 - c + 6. Let r(x) = 29*x**3 - x + 5. Suppose -4*f = o + 23, 2*f + 2*o - 9 = 5*f. Let d(j) = f*v(j) + 6*r(j). List the prime factors of d(1).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -b - -b09?\nAnswer: aed","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 632 - 633. Which is bigger: y or -57?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 555165 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 61935?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (206\/(-8))\/((-305)\/244). Is 22 at most as big as k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -455069805507 plus -2?\nAnswer: -455069805509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13 + 3 + 1 - 2*u)*(5 - 5 + u**2) + (-4*u + 0*u + 2*u)*(4 - 4 + u**2).\nAnswer: -4*u**3 - 9*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 4*h**2 + 453*h + 738. Calculate the remainder when r(-114) is divided by 109.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i + 1. Let u(n) = 2*n - 7. Suppose -56 = 4*v - 12. Let w(d) = d**2 + 9*d - 21. Let z be w(v). Let j be z\/4 - 10\/(240\/126). What is j*r(h) - u(h)?\nAnswer: 3*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x = 5*g - 18, -9*g + 122*x + 40 = 126*x for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and -0.0791.\nAnswer: -0.2373","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*a**2 - a**5 + 6*a**2 - 16*a**5 wrt a?\nAnswer: -1020*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((-2*sqrt(160) - sqrt(160) - sqrt(160)) + sqrt(10) - sqrt(810)*2))\/(sqrt(20)\/(sqrt(4) + (sqrt(36) - sqrt(4))) - 6*(sqrt(5)*3 + sqrt(5))).\nAnswer: 495*sqrt(2)\/71","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 12, 11, 10, 9, 8?\n\"Answer: -i + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 4, x: 1, v: 7, y: 3, m: 1, o: 2}. Give prob of sequence tt.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.9 + 1.7. What is the second smallest value in l, -2\/7, -3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x - 2*x - 4*x**2 + 5*x. Let u(r) = r**2. Suppose -2*m - s = 3, 4*m - 4*s - 137 = -101. Calculate m*d(n) + 10*u(n).\nAnswer: 2*n**2 + 4*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 5*d = -2*d - 6, -5*o - 4 = -2*d. Suppose -3*q + 15 - 84 = o. Let u = q - -66. Does 19 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 585973189?\nAnswer: 41, 14292029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*q**2*r**2 - q**2*r + 7004*q**2 - 4*q - 31*r**2 + 2*r - 1672 wrt q?\nAnswer: 4*q*r**2 - 2*q*r + 14008*q - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -332, -1318, -2954, -5240, -8176, -11762?\nAnswer: -15998","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 399 is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 5*v + 15 = 0, -5*v - 25 - 4 = -2*h. Let f(b) = -17 - 120*b**2 + 66*b**h + 57*b**2. Let q(w) = -3*w. What is f(q(i))?\nAnswer: 27*i**2 - 17","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the first derivative of v**2 + 29*v - 7\/2*v**4 + 0*v**3 - 218. What is the second derivative of w(g) wrt g?\nAnswer: -84*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 29 + -77\/3. Is s >= -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 101696128?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 7\/42 - (-119)\/6. Let y be (0 - -10)*8\/f. Sort y, -9, -2 in increasing order.\nAnswer: -9, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 48.42 + -48. Let t = 0.4199979 - k. Round t to six decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the first derivative of 31*x**6\/3 + x**4\/4 + 32*x**2 - x + 913. Find the second derivative of l(p) wrt p.\nAnswer: 1240*p**3 + 6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**2 + 1782*y + 264627.\nAnswer: 3*(y + 297)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -109 + 54. Let x be (-4)\/22 + 100\/t. Put x, -6, -3 in ascending order.\nAnswer: -6, -3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**3 + 9*j**2 + 12*j - 8. Let y be c(-7). Let a be (6\/4)\/(3\/y) + 6. Solve a*n = 4*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -140 + 978\/7. Let w = -0.2 - 0.3. Which is the biggest value? (a) l (b) w (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1848 = -681*n + 692*n. Is n a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -19*g + 1. Let i be n(-2). Let c be 138\/299 - 7155\/i. Round c to the nearest one hundred.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4783 and -0.2.\nAnswer: 956.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**2 + 10*a + 8. Let v(j) = j**2 - 10*j - 7. Let w(p) = 6*r(p) + 5*v(p). Let i be w(11). Find the common denominator of -58\/7 and (-122)\/36 + i + 1.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((q*q**(-9\/2))\/q)\/q)\/(q*q**(2\/7)*q)*(q**4\/q)\/(q\/q**7))**(-4\/3) assuming q is positive.\nAnswer: q**(-34\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.23296 + 0.19796. Which is greater: -113 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 45934 to the nearest integer?\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the third derivative of 25*p**6\/24 - 22*p**3 - 14*p**2 + 2*p. Differentiate q(x) with respect to x.\nAnswer: 375*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 488309 to the nearest integer?\nAnswer: 699","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/21 and 93\/434240?\nAnswer: 9119040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j - 2*j**2 - 3*j)*(5 - 1 - 2)*(-11*j + 9*j - 19*j + (2*j - 1 + 1)*(2 - 5 + 1)).\nAnswer: 100*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 872065316 is divided by 4152?\nAnswer: 4148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:12 PM and 12:45 AM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1613 - -22. Suppose 0 = -3*r + 3*v + 963, -5*r = -0*r + v - c. What are the prime factors of r?\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 - -6. Is 12\/11 less than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 4 = 10. Suppose -s*d + d = -10. Let i be (-2)\/5*1\/d. Which is greater: i or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -107*d**3 + 47*d**2 + 778*d**2 + 48*d**3 + 57*d**3 - 649*d**6 wrt d?\nAnswer: -77880*d**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32222321 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -21, -154, -397, -744, -1189?\n\"Answer: n**3 - 61*n**2 + 43*n - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 - 34\/4)*(-38)\/57. Let t(z) = 2*z**3 - 9*z**2 - 2*z - 7. Let i be t(q). Suppose i*g = 63 + 9. Solve -f - n - 3*n + 21 = 0, 0 = -f - n + g for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1876074131 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.2 and 1.9.\nAnswer: 2.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -93 - -96. Suppose -v*i + 2*i = x - 2, 4*i + 20 = 0. What are the prime factors of ((-25)\/(-6) - x\/42) + 241?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 176670 and 50310?\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*i + 27 = 68*i. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2889*f*q*y + 11*f*y + 2*y with respect to q.\nAnswer: 2889*f*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 5110, 7262, 9414, 11566?\n\"Answer: 2152*n + 2958","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 70 times -91\nAnswer: -6370","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 764*j**3 - 1603*j**2 wrt j.\nAnswer: 4584","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let 5\/2*j**4 + 0 + 0*j + 65\/2*j**2 + 35*j**3 = 0. What is j?\nAnswer: -13, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000014643 rounded to 6 dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5071 is divided by 83.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -5867, -14974, -24089, -33212, -42343, -51482, -60629?\n\"Answer: -4*x**2 - 9095*x + 3232","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 12*h**3 + 5*h**2 - 2*h + 6. Let v(o) = -25*o**3 - 11*o**2 + 4*o - 13. Let a(t) = -13*i(t) - 6*v(t). List the prime factors of a(-2).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2143*b*z**3 - 46*b - 19*z**4 - 92 wrt z?\nAnswer: 6429*b*z**2 - 76*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-4)*l)\/l**4)\/(l*l**1)**(9\/5) assuming l is positive.\nAnswer: l**(-53\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 t when two letters picked without replacement from {q: 2, p: 1, m: 7, t: 6, y: 1}?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/4*((-24)\/1)\/3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 695274103?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1809, 3612, 5415, 7218, 9021, 10824?\n\"Answer: 1803*w + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/2? (a) -0.4 (b) 3 (c) -6.8 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -7301 - 7403 + 23*k**2 - 204*k - 20*k**2 + 10672 = 0. What is k?\nAnswer: -16, 84","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 - -10. Suppose -4*q + 2*n = -3*q - 5, n = -g*q + 14. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-2\/17)\/i)\/i)\/i**(-2)*(i**1)**(4\/15)*(i*i*i\/i**(-3\/7)*i*(i**6\/i)\/i)\/(i**(2\/7))**(1\/2) assuming i is positive.\nAnswer: i**(15056\/1785)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(2\/27)*x**(-4\/3)*x*x*x)\/(((x\/(x**1*x))\/x*x*x)\/(x**5\/x))*(x\/x**(1\/9))\/(x\/(x**(-9)*x*x))*x**(-4\/7)\/x*x*x**(-5)*x assuming x is positive.\nAnswer: x**(-934\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.07 + 0.0086.\nAnswer: -0.0614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2707084*j**2*t**3 - 227938017*j**2*t + 2*j**2 + 7*j*t**3 - t wrt t?\nAnswer: 16242504*j**2*t + 42*j*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -272*i - 5*v + 11 = -268*i, v + 21 = 5*i. Let b be 2 + -1 + (-5)\/3. Let c = 0.55 + -2.55. What is the nearest to c in -3, i, b?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/((-90)\/(-132)) - -5. Let l = -0.2 + 0. Which is the biggest value? (a) -0.5 (b) n (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 6*m**2 - 11*m - 25. Let y(r) = -r**3 - 10*r**2 + 17*r + 77. Let s be y(-11). Let q(c) = c**2 - 2*c - 5. Calculate s*q(f) - 2*j(f).\nAnswer: -f**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-20)\/(-52))\/(465\/(-558))?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3750 - -2204. Let v = x + 2246. Does 6 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:07 PM and 8:07 PM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/((-2)\/(-2*3)). What is the common denominator of (5\/x)\/(8\/(-174)) and 97\/2?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 2, 3 in descending order.\nAnswer: 11, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -21146 + 21144. Which is the third biggest value? (a) y (b) -2\/3 (c) -4 (d) -3 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 467734, 1871040, 4209896, 7484302, 11694258?\n\"Answer: 467775*f**2 - 19*f - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1\/5 (b) 4 (c) -6 (d) -0.254\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 3*o + 2*o. Suppose 4*u = -3*p - o*p + 6, 0 = 4*p + 4*u - 4. Is p less than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o and 1 w when four letters picked without replacement from faoaoowaaoaaffaoff.\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in thirteen fifths of a century?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5810 = 123*a - 953*a for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 2*g = -5*o - 6, -4*o = -5*g - 28. Let z(y) = 4*y**2 + 4*y + 8. List the prime factors of z(g).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*t + 2*t**3 + 0*t - 8*t + 2*t**2 to the form z*t + b + v*t**2 + q*t**3 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -1*(sqrt(242) + -1))**2.\nAnswer: 44*sqrt(2) + 246","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 11318 = -4563. List the prime factors of x.\nAnswer: 7, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes before 11:55 AM?\nAnswer: 1:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 510*b**3 + 1386*b**2*d**2 + 10*b**2 - 4*b*d**2 + 7*b - 7*d**2 - 14*d - 138 wrt b?\nAnswer: 3060*b + 2772*d**2 + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -45*c**2 - 4*c + 4. Let u(r) = -855*r**2 - 75*r + 75. Give -75*p(k) + 4*u(k).\nAnswer: -45*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let 6*o**2\/7 + 2154*o\/7 + 2148\/7 = 0. Calculate o.\nAnswer: -358, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -108 = 13*x - 40*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**2 - 14*q + 56. Suppose 5*o = -p + 2*o - 39, 0 = 4*p + 2*o + 106. Let g = -10 - p. Calculate the remainder when g is divided by a(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 220 is divided by (-1220)\/(-38) - 4\/38?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4)\/18 + (-395504)\/(-684) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -2*r. Let a(x) = x**3 + 6*x**2 - 2*x - 8. Let d be a(-6). Let w be o(d). Let k = 19 + w. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 4*j = 16, 17*j - 58 = -4*u + 22*j. Let b = -4 - -9. Calculate the remainder when u is divided by b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5722768?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the first derivative of -c**5\/20 - c**4\/4 + c**3\/2 - 2*c**2 - 3*c + 5. Let g(w) be the first derivative of z(w). Determine g(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**3 + 10*w**2 - 2*w - 28. Let y be k(8). Suppose -2*t - 2*t - y = -4*j, 24 = 2*j + 4*t. Calculate the highest common factor of j and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s - 5*s + 12. Let n be -15 - (8 + 80\/(-10)). Put n, s, 5 in decreasing order.\nAnswer: 5, s, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -5*y**3 - 3*y**2 - 4. Suppose 3*o - 20 = -2*o. Let s(t) = 17*t**3 - 3*t**3 + 8*t**2 - 50 + 61. Determine o*s(g) + 11*h(g).\nAnswer: g**3 - g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -57 (base 14) to base 4.\nAnswer: -1031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1338410 is divided by 368.\nAnswer: 362","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 0.07 (b) 1\/9 (c) 3.9441\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 901 less than -1400?\nAnswer: -2301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) 5 (c) 0.5 (d) -2 (e) 2\/83\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:51 AM and 2:10 AM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y - 15. Let c be m(-3). Let u(j) = -3*j**3 - 13*j**2 + 15*j + 11. Is u(c) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 19 = -3*c. Let b be (2\/5)\/(8\/40). Suppose -b - 13 = -5*l. Solve -3*m + 2*n + l + 10 = 0, c*m - 21 = 3*n for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19 + 19 - 22*a to the form r*a + u and give r.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 + 11415254305?\nAnswer: 11415254300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1536.674 rounded to the nearest one hundred?\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the second derivative of -4*k**3\/3 + k**2 - 4*k. Let i be f(-2). Solve -4*o - 2 = i for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -39 or -30?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -67*v**3 - 13*v**2 + 14*v - 285. Let i(w) = -2*w**3 - w**2 + w - 22. What is -26*i(q) + 2*y(q)?\nAnswer: -82*q**3 + 2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7551 + 14416. Let w = l - 6877.029. Let g = -0.029 - w. Put -2\/3, g, 2\/3 in decreasing order.\nAnswer: g, 2\/3, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-63)\/(-45) - 7)*55\/2. Let b be (p\/(-21) + -8)\/3. Sort 2, b, 1\/7, -4 in ascending order.\nAnswer: -4, b, 1\/7, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8276, -8281, -8286, -8285, -8272, -8241, -8186?\nAnswer: -8101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:23 AM and 5:34 AM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the second derivative of 0 - 1\/6*w**3 + 0*w**2 + 3*w - 1\/6*w**6 + 0*w**4 + 0*w**5. Find the second derivative of c(j) wrt j.\nAnswer: -60*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tuc when three letters picked without replacement from {u: 1, a: 1, t: 5, d: 1, g: 2, c: 6}?\nAnswer: 1\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes after 6:36 PM?\nAnswer: 12:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 423 is divided by 107?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -303414, -303397, -303380, -303363, -303346, -303329?\nAnswer: -303312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/(-14) + (-834)\/(-21). Suppose -63 = 9*o - 35 - 244. Calculate the greatest common factor of o and f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 f when two letters picked without replacement from efayqoe.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -5 (b) 0.14 (c) 13 (d) 3.8346 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14076 is divided by 183.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**3 + 5*d**2 - d - 1. Let v be m(-5). Suppose 2*y = v*q - 8*q + 58, -4*q + 5*y = -23. What is the highest common divisor of 108 and q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -77 divided by 28625.\nAnswer: -77\/28625","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a - 4. Let l be f(-4). Let n be 4\/(0 - -2) + l. Solve -z - 19 = j + n*j, -j = z + 9 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**3 - 28*o**2 - 13*o + 168. Give y(25).\nAnswer: -2032","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dz when two letters picked without replacement from wsdzzdszwz.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*y = 274 + 20. What is the highest common factor of 98 and y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*z**4 + 16 + 137*z + z**2 - 137*z + 2*z**4 as x*z**2 + a*z + y*z**3 + q*z**4 + u and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14445.006 - 14427. Let b = -18 + l. What is b rounded to two dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-23)\/(-21) - 1)\/(1744\/(-14715)) and 3*-1 + 1575\/539.\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) -477 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kjitjtkttj. Give prob of sequence kkj.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the third derivative of -y**5\/210 - 218*y**4\/3 - 1330672*y**3\/3 + 9320*y**2. Factor p(o).\nAnswer: -2*(o + 3052)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 - 5782?\nAnswer: -5785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(385)\/((sqrt(7) - sqrt(63))*-2))\/((sqrt(11) - (-1*sqrt(33) + sqrt(33))\/sqrt(3))*-1).\nAnswer: -sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.113 times -0.0432?\nAnswer: 0.0048816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -275 + 285. Suppose 0 = -o*y + 9*y + 1. Solve -3*t = -y - 2 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 142605 and 887320?\nAnswer: 7985880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 0\/2 - (0 - 21) is divided by (-3 + (-16)\/(-5))*55?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4387?\nAnswer: 41, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -5*m - 20, 0 = -4*h + 2*h + 2*m - 4. Let o be ((-15)\/(-6))\/((h\/4)\/5). Suppose -4*v - 46 + 10 = 0. Is o smaller than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(8)\/sqrt(4) + -2)**2 + sqrt(50) + 0 + sqrt(6)\/((sqrt(15)*2)\/sqrt(5)).\nAnswer: 3*sqrt(2)\/2 + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:51 PM and 7:42 PM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -23 + 31. Let p be (h\/(-9))\/(-4) + 549\/81. Solve -3*d - 15 = -5*v, 5*v + 4*d + p + 13 = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l + 95 = 4*x, x - 6637*l = -6632*l + 55 for x.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -0.4, 0.1, 3, -4728\/5 in ascending order.\nAnswer: -4728\/5, -0.4, -0.2, 0.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1*(-2)\/(-4)*(-125 - -135). Let m(q) = -64954*q + 30. Let k be m(r). What is k rounded to the nearest ten thousand?\nAnswer: 320000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37 + 67*h - 79 + 42.\nAnswer: 67*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 22*t**2 + 5 - 1 in the form d*t**2 + c + o*t and give d.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -34 + 6 + (70 + -36 - 20)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/353964 and -56\/265473?\nAnswer: 1061892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10 and 194.\nAnswer: 970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -98*g - 72*g - 7403 = -2473 for g.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (4 + (5*(sqrt(864) + sqrt(864)*2))\/(5*sqrt(72)\/sqrt(24)))**2.\nAnswer: 288*sqrt(2) + 2612","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that g**2\/7 + 953*g\/7 - 8035698\/7 = 0.\nAnswer: -3351, 2398","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 137466960 a multiple of 1392?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 2*b + 4 + 3, -2*b + 5*j - 27 = 0. Sort b, 2, -3 in descending order.\nAnswer: 2, b, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18*n + 25*n - 22*n)*(5*n - n - 2*n) - 29*n**2 + 13*n**2 - 3*n**2.\nAnswer: -49*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -467, -8, -9, 34, 2 in increasing order.\nAnswer: -467, -9, -8, 2, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -35\/6*t**3 + 12*t**2 - 13\/2*t + 1\/3.\nAnswer: -(t - 1)**2*(35*t - 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2928915 is divided by 7061?\nAnswer: 5661","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pbu when three letters picked without replacement from uubypbyubyuuuuyyuu.\nAnswer: 3\/544","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -32*y**2 + 1. Let g(q) = 618*q + 4329. Let n be g(-7). Let m(x) = -31*x**2 + 1. Give n*m(r) - 2*c(r).\nAnswer: -29*r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**2 - 53*u - 3578100. Let b be r(0). Round b to the nearest 100000.\nAnswer: -3600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -655476 + -385?\nAnswer: -655850","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*d + 6*d - 1 - d**2)*(-14*d - 4*d - 8*d)*(-4 + 5 + 1).\nAnswer: 52*d**3 + 52*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-52)\/(-11700))\/(((-16)\/4)\/(-24)).\nAnswer: 2\/75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*k**3\/2 - 226215*k**2\/2 - 3069395775*k\/2 - 10900435912605\/2.\nAnswer: -5*(k + 5529)*(k + 19857)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*u**4 - 3*u**4 - u**4 - 3*u**4 - 3 + 3 + (-4 + 3*u**2 + 4)*(-3*u**2 - u**2 + 2*u**2) as j*u + r*u**2 + i*u**3 + d*u**4 + l and give d.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 318686138?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -85227, -91205, -97183?\n\"Answer: -5978*n - 79249","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 4}. What is prob of sequence jjj?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**2 - g. Let r(m) = 18*m**2 - m - 3. Determine 2*f(c) - r(c).\nAnswer: -16*c**2 - c + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8, -14, -24, -38, -56, -78?\nAnswer: -104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 202011020022010 (base 3) in base 6?\nAnswer: 1021333133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**3 - 3*q**2 + q - 1. Let p(z) = 5*z**3 - 12*z**2 + 3*z - 3. Let t(u) = 9*j(u) - 2*p(u). Let n be t(-4). Solve -3*k = -2*k - n for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**3 + 8*l**2 + 8*l + 16. Let h = -3173 - -3166. Determine n(h).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 29, -0.5, -0.4, -5.\nAnswer: -5, -0.5, -0.4, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**3 - 7*r**2. Let v = 10 - 17. Let w be m(v). Let f be w + 6*(-4)\/(-6). Solve f*o = 2*k - 20, -3*o = -3*k - 6 + 27 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 544\/12 + 2 + (-1 - 0). Let q = t + -47. Is -0.13 equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*l - 22*l - 10*l - 51*l + 19*l.\nAnswer: -62*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 7914.55ng in tonnes?\nAnswer: 0.00000000000791455","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 38\/2837 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 101420 and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-2\/3))**(6\/25)*(q**(2\/7))**(45\/2) assuming q is positive.\nAnswer: q**(1097\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 3*h**4 - 3 + (13*h**3 - 10*h**3 + 10*h**3)*(3*h - 3*h - 2*h) - h - h - 4*h**4 + h**4.\nAnswer: -32*h**4 - 2*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2174 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 + -13b76?\nAnswer: -13b72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2802 is divided by 85.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 + (10 - -13) + (-1 + 3 - 12)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 10*m**2 - 30*m - 4. Let o be b(-3). Let k be (-435)\/(-9) - (-1)\/(-3). Calculate the greatest common factor of o and k.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23, 67, -17.\nAnswer: -23, -17, 67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -33? (a) 3 (b) 0.1 (c) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2468, -2059, -6586?\n\"Answer: -4527*k + 6995","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -32\/453 and -3\/1057.\nAnswer: 3171","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.025 and -244.\nAnswer: -6.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1753*m**4 + m + 244?\nAnswer: -21036*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*z - 1 = 12 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - k + 14*k**2 - 5*k**2 - k**3 - 4*k**2 + 2*k**2 to the form g*k**2 + z + n*k + h*k**3 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 942.2759l to millilitres.\nAnswer: 942275.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 69 - 66. Let w = -9 + 11. Suppose w*t - 6 - 5 = r, r = 3*t - 17. Solve -3*g - z*h + 12 = -t*h, 2*g - h = 6 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**4 - 645*d**3 - 2637*d**2 + 1917*d + 11826.\nAnswer: 3*(d - 219)*(d - 2)*(d + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-296)\/(-240)*5*(-2 + 8). Find the third derivative of g + 212*t**6 + 3*t**2 + 5*t**5 - 2 - 203*t**6 wrt t.\nAnswer: 1080*t**3 + 300*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*b*t**3*y**3 + 16*b*t*y**3 - 2*b*y**2 + 2*b - 2*t**3*y - 52*t*y**2 wrt y.\nAnswer: -30*b*t**3 + 96*b*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 416270 is divided by 143.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 209816251 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14 - 10. Let t = -5 - -4. Put q, -0.4, t in ascending order.\nAnswer: t, -0.4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**3 - 5*w**2 + 4. Let l be s(7). Let o = l - -191. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q**4 - 2*q**5 - 2*q**4)*(-7 - 6 + 1).\nAnswer: 24*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 4984393338 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dln when three letters picked without replacement from kdynddldd.\nAnswer: 5\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 179012 + 37*v - 179012.\nAnswer: 37*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -36*z**4 - 80524776*z**3 - 26841556*z**2 + 71577584*z + 35788784 = 0.\nAnswer: -2236799, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(133) + sqrt(133)*-1)*-4)\/(sqrt(567) - sqrt(63)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**3 - 4*s**2 - 7*s - 2. What is l(5)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -484, -3, 5 in ascending order.\nAnswer: -484, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*l - 6272 = 1378. Calculate the greatest common factor of 30 and l.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 240, 472, 704?\n\"Answer: 232*t + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n = -3*d - 10, -17*n = -d - 12*n - 7 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/18776 and -67\/21123.\nAnswer: 168984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (0\/(-34))\/(8 + -5)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/15963948 and 47\/414648.\nAnswer: 31927896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(130) - sqrt(130)*-1)*4 + sqrt(130))\/(sqrt(160)*-1) + -1*(sqrt(117) + 0 - sqrt(117) - (1 + sqrt(52) + sqrt(13))))**2.\nAnswer: 3*sqrt(13)\/2 + 133\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the second derivative of -s**6\/30 + 547*s**5\/20 + s**4\/6 + 64*s**3 - 386*s. Find the third derivative of b(k) wrt k.\nAnswer: -24*k + 3282","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 130481.\nAnswer: 13, 10037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.482407 minutes to days.\nAnswer: 0.00172389375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**2\/2 - 4467*m\/2 - 973400.\nAnswer: (m - 4867)*(m + 400)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -2*p**3 + 3 + p**2 - 6*p**2 + 0*p**2 + p. Let f = -5 + 1. Is q(f) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19118.5 + 4845?\nAnswer: -14273.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.204 - 2.204. Suppose 2*d + 32 = -58. Let c be 48\/d - (-2)\/3. What is the smallest value in -0.2, c, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n = 3*a + n + 107, 4*n - 70 = 2*a. Suppose 2*f = 5*x - 8*x + 94, 0 = -5*x + 10. Let z = f + a. Solve -3 + z = -2*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - ((-4 - 27) + 7)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:36 PM and 11:09 PM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aab when three letters picked without replacement from aaabaaaaaaabba?\nAnswer: 55\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 313596647.\nAnswer: 7, 13, 3446117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes after 2:10 PM?\nAnswer: 7:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 63 + -46. Suppose 2*t - 65 = r. What is the tens digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 6*q - 9. Let h be l(4). What is the second derivative of -h*n - 5*n**3 + 29*n - 16*n wrt n?\nAnswer: -30*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most as big as 1\/1131?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-3) - (-16)\/6. Suppose 2*u + 3220 = -j*u. Let k = -2705 - u. What is k rounded to the nearest 1000?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -27120 - -27199. What is the remainder when 693 is divided by m?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lyllymlb. What is prob of picking 1 l and 2 y?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 31\/3 - 10. What is the fourth biggest value in -0.3, -4\/3, -0.4, q?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -202288332 - -80.604.\nAnswer: -202288251.396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 117110531 divided by 6\nAnswer: 117110531\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -97 at least as big as -98?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 88630 to the power of 1\/2, to the nearest integer?\nAnswer: 298","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 202*k - 383*k = -198*k - 102 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**2 + 8*a + 12. Let m be w(9). Suppose m*o - 3*u = -8*u + 30, -2*u - 81 = -5*o. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 3*n + 2*n + 70 = 0, 5*a = 3*n + 68. List the prime factors of a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -18 in 4, 2\/11, 2\/9, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 13 + (-942)\/72 - 3853\/(-12). Calculate the greatest common factor of m and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f - 10 = -10. Let b be -4 + 3 + f + 46. Let h be (0 - 2)\/((-7)\/154). Which is smaller: b or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/5, -14921, 1\/5, 0.7, -10, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p. Let a(f) be the second derivative of -490*f**3 - 68*f. Give g(a(w)).\nAnswer: -2940*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16 + -21. Let d(r) = 2*r**2 - 5*r + 7. Let i(p) = -3*p**2 + 5*p - 7. Let c(w) = 4*d(w) + 3*i(w). What is c(g)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 576 - 601. Suppose -3*g + 4*h - 12 = -2*g, 2*g + 5*h = -11. Let x = 4 + g. Put m, 5, x in descending order.\nAnswer: 5, x, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oooiio. What is prob of sequence oio?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 3*t + 7, 5*t - 3*t = d - 6. Put 237, d, -2 in increasing order.\nAnswer: d, -2, 237","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 3 + 3)*(-5*p**3 - 5*p**3 + 2*p**3)*(2*p - 7*p - p) as d*p**3 + h*p + n*p**2 + z + r*p**4 and give r.\nAnswer: 192","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8754 to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -21 + (18 - 9 - 1) + -8\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 - 0. Suppose 42 = 4*p + z - 94, -4*z = -16. Suppose -p = s*l - 93. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -5*r**2 + 2*r - 8. Let m(o) = 14*o**2 - 7*o + 23. Let f(v) = 17*l(v) + 6*m(v). Let j be f(-8). Let n = 5 - j. Solve -n*p = -p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, 81.735, -4, 3\/280 in decreasing order.\nAnswer: 81.735, 2\/3, 3\/280, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2349250?\nAnswer: 2, 5, 9397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**2 - 7*r + 18. Give g(-5).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (94\/4)\/(4\/16). Suppose 7*y - 32 = s. Calculate the greatest common divisor of y and 144.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11101987889 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -657, -3, -60, -5 in decreasing order.\nAnswer: 3, -3, -5, -60, -657","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, 0.1, 1\/3, -0.4, -10, 46?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 154 and 1020404.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 50 + 2 + (6 - 4). Suppose 5*b - 2 - 8 = 0. Suppose -c = 3*q - 97, -r = -q + 6*c - b*c. Is 13 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -225*h - 2060 + 834 - 364 = 6285 for h.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(3\/4)*r)\/(r*r**(-3\/2))*r**(-1\/4)*r**0*r*(r**2)**(-34)*(r\/(r**(-9)\/r))\/(r**(2\/21)*r) assuming r is positive.\nAnswer: r**(-1157\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**1)**(4\/27)*(g\/((g\/(g**(-3)\/g))\/g))\/g**(-11) assuming g is positive.\nAnswer: g**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the third derivative of -n**6\/24 - 2*n**2. Find m, given that z(m) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**3 - 11*o**2 + 25*o + 24. Let k be l(-11). Let r = k + 366. Is 45 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 26*l - 1. Suppose -7*k + 15081 - 15004 = 0. Let x(q) = -131*q + 6. Calculate k*f(r) + 2*x(r).\nAnswer: 24*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n - 3. Let x be t(8). Suppose -14 - 6 = -w + x*h, 5*h + 110 = 4*w. Suppose q + 4*m = 8, -5*q - 11 = -m - w. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 - 0.2. Let v = 1.198 + -0.198. Which is greater: v or g?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 13 in 2\/9, 2, 6.75, 0.5?\nAnswer: 6.75","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 44, -5, -74, -145, -200, -221?\n\"Answer: 3*n**3 - 28*n**2 + 14*n + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4\/913, 7, -1, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1258275 and 32775.\nAnswer: 1425","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:48 PM and 4:41 AM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 847 - 11 = -76*j. Let i be (-1)\/(-1) - -9 - j. Suppose x = -4*m + 59, -2*m = 5*x - 74 - 239. Calculate the highest common divisor of x and i.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**3 + 9*z**2 + 10*z + 6. Let f(k) = -2*k**2 + 4*k - 2. Let l be f(3). Give b(l).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -3 + -8 + (2 - 0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -591.5 - -592. Which is the smallest value? (a) -0.5 (b) 1 (c) s (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5913 - (26 - 12) - -5 a multiple of 123?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**3 + 29*s**2 + 31*s + 95. Let d be r(-28). Solve d*z + 3*v = 13*z + 19, -3*z = 4*v - 14 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*d + 11*d = 60. Calculate the least common multiple of d*(20\/15)\/2 and (-3)\/(-9) + (-59)\/(-3).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 4*q**2 - 4*q + 16. Let c be b(-5). Suppose 4*p + 4*z = c, -10*z = -6*z - 16. Calculate the remainder when p is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2\/31, 0, 2\/3, 109?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 71978.56819 to the nearest 1000.\nAnswer: 72000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14 - 14.053. Let w = 37.947 - i. Which is the biggest value? (a) 0.4 (b) 0.2 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -69233344, -138466686, -207700028, -276933370, -346166712, -415400054?\n\"Answer: -69233342*v - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -568 - -805. Suppose -2*w - 3 = -y. What is the remainder when w is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -4\/7, -3, -0.1?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + 200 + 483 + 109 = 11*q, -3*q - 2*q + 3*x + 360 = 0 for q.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1070 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes after 4:00 PM?\nAnswer: 8:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -40\/6983 and 11\/62847?\nAnswer: 62847","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1, -21, 83, -2 in decreasing order.\nAnswer: 83, 1, -2, -4, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42230?\nAnswer: 2, 5, 41, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-18))**(-5)\/(z*z**(-3\/11)\/z*z*z*((z**(1\/5)*z)\/z)\/z*z*z) assuming z is positive.\nAnswer: z**(4789\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 382*c - 306*c + 1064 for c.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*w**3 - 28*w**2 - 2*w**3 + w**4 - 25*w**2 - 1 + 78*w**2 - 31*w**2 to h*w**3 + n + s*w**4 + o*w**2 + b*w and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9744269.\nAnswer: 239, 40771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 - -7. Let h = b - 1.9. Let q = -5 + 5.4. What is the closest to 0 in -2\/7, h, q?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes before 10:16 AM?\nAnswer: 5:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -863 at least as big as -822?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l when three letters picked without replacement from sslslslsssssssss.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -28.4 + 28.4081. What is b rounded to 3 dps?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15381638.\nAnswer: 2, 61, 126079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**3 + 3*l**2 + 5*l + 3. Let o be p(5). Let k = 7 - -24. Let g = k + o. Calculate the remainder when 25 is divided by g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 21*l - 123. Let n be h(6). Solve -n*s + 17 = 4*w - 15, -s - 21 = -5*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 31 - (-22 + 3 - -50) - (0 - -20)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 540 = 522*o - 549*o for o.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:06 PM and 6:07 AM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -69276 + 19?\nAnswer: -69257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 5646 a factor of 2003153785?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1454 (b) -1\/2 (c) 2 (d) -0.05 (e) -1962\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (0 + 2*sqrt(343) - sqrt(343)*2*4) + 0 + 4)**2 + 4 + 4.\nAnswer: -588*sqrt(7) + 12405","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17 + -6. Suppose k + 7 = 3*f, 5*f = -3*k + 5*k + p. Solve -2*l - 13 = -f for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 29784 and 319254696.\nAnswer: 319254696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 380\/317 (b) -4 (c) -0.013 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 102\/97, -0.4, 0.4, -279?\nAnswer: -279","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -3*y**2 - y - 6. Let i = 92 - 95. Let t(k) = 2*k**2 + k + 5. Let h(s) = -s**3 - 5*s**2 + 7*s + 2. Let p be h(-6). Calculate i*l(a) + p*t(a).\nAnswer: a**2 - a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001343048 to six decimal places.\nAnswer: -0.001343","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the first derivative of 3*w**2\/2 - 28*w - 16. What is the remainder when q(16) is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 628595\/138 + -4555. Find the common denominator of -37\/3 and s.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 178*d + 164*d**2 - 354*d + 176*d as a*d + n + b*d**2 and give b.\nAnswer: 164","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes before 12:49 AM?\nAnswer: 6:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times 80252045?\nAnswer: -16050409","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 558975 + 63537 = 8646*n for n.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2*2*(-5)\/(-80). Which is smaller: z or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1221342 + 3?\nAnswer: -1221334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -3*k**2 + 4*k. Let l(u) = -u**2 + 8*u + 66. Let x be l(-5). Let s(z) = z**2 + 52*z + 72*z - 125*z. Determine x*i(a) + 4*s(a).\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 338 = 358. Solve 4*l + 32 = p + 3*p, -s = 4*l + 3*p for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -207 - -623\/3. Let k = -0.48 - -0.08. Sort -1\/2, u, -1, k in descending order.\nAnswer: u, k, -1\/2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1832742 or 1832743?\nAnswer: 1832742","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (4 - 0) - (199 + (-377 - -163)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(-20))\/((u*u\/((u\/(u*(u\/(u\/(u*u**(-2\/7))))\/u))\/u))\/u)*u\/(u\/(u*((u\/u**(-9\/2))\/u)\/u*u*u))*u*u**(-5\/3)\/u assuming u is positive.\nAnswer: u**(1013\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**2 + 261*p - 4381. Calculate the remainder when 13360 is divided by f(16).\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -6*s**2 + 3*s. Let l = -33 + 28. Let w be u(l). What is the remainder when (-32)\/12*w\/20 is divided by 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.026 - -0.384. Let h = 0.39 - j. Let l = h - -13.02. Which is smaller: 0.1 or l?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18620?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 130 = 7*q. What are the prime factors of q?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/((-27)\/15)*136\/(-2550))\/(22\/(-275)).\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 52, 102, 152, 202?\nAnswer: 252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**3 - 11*d**2 + 26*d + 11. Let g be y(-10). Let o = g + 3998. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-160)\/18 + 96\/108.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 135*o**2 - 17*o**2 + 5*o**2 - 565 + 565.\nAnswer: 123*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 - 6. Let v(h) = 0*h + h + 15 - h**2 - 12. Let j be v(3). Is j less than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 873*h - 1292*h = -977*h + 28140 + 9246 for h.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -52 + 54. Let j be 164 + (d - 2) + 3 + 1. Let y = -57 + j. What are the prime factors of y?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of i**4*s + 21643*i**2*s**2 - 3*i*s**2 + 2*i - 2784*s**2 + s wrt i.\nAnswer: 12*i**2*s + 43286*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16465, 32931, 49419, 65941, 82509?\nAnswer: 99135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(4\/1))\/(174\/(-116)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5267 + -5255. Solve -4*w + o*w = 32 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -12*j**3 + 15*j**2 - 3*j. Let u(b) = -24*b**3 + 30*b**2 - 5*b. Let i(g) = -5*f(g) + 3*u(g). What is the third derivative of i(a) wrt a?\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3, 5, 4, 60847, 0.\nAnswer: -5, -3, 0, 4, 5, 60847","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes after 4:51 PM?\nAnswer: 12:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * 231.\nAnswer: 231","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -232, -4, 5 in descending order.\nAnswer: 5, 1, -4, -232","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1712120 divided by 5?\nAnswer: 342424","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -209*(-31)\/9548 - -2*2\/(-16)\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.3, -170.2, 2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**3 - 10*x**2 - 17*x - 33. Calculate the remainder when 311 is divided by z(-9).\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7*2.15.\nAnswer: -15.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 - 1240554246?\nAnswer: -1240554244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*h = -361 + 40 - 129. Solve -j - 22 + h = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**2 - 27. What is g(7)?\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 11349 = 5*h + 1584, 6535 = 2*i - 5*h. What is the thousands digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 4}. Give prob of sequence gggg.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1568 and 58901038.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 8\/25 of a second?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1290929 * -1.\nAnswer: -1290929","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wk when two letters picked without replacement from wkkhkkhhhkwkkw.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-19)\/30)\/(-19))\/((-16)\/48).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1663, 11, 5, -0.1, -2\/9, 2\/15.\nAnswer: -1663, -2\/9, -0.1, 2\/15, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*j**2 + 0*j**2 + 4*j**4 - 2*j**4 - 5*j**4 wrt j?\nAnswer: -72*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.64 - 0.7. Let g = 15 - 14.64. Let f = k + g. Which is smaller: f or 2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, m: 3, q: 2, c: 8, u: 1, r: 2}. What is prob of sequence sr?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 284?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 - -56717054?\nAnswer: 56717746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:02 PM and 6:34 PM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -16*d**2 - 11. Let w = 4212 - 4190. Let q(m) = -3*m**2 - 2. Determine w*q(u) - 4*x(u).\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are 649 and 649 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 587055 is divided by 395.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 7*k - 4*k. Solve 4*r = 5*x - 8 + 2, 9 = 5*r + k*x for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cbvtmti. What is prob of sequence itcb?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9246, -602, -17016, -39996, -69542, -105654, -148332?\nAnswer: -197576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.81 - -0.19. Which is the third smallest value? (a) o (b) -1 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o = 5*h - 45, -3*o + 4*h - 31 + 30 = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 2 - 1)*((5*r - r - 2*r)*(-4 - 2 + 4) + r - r + r + r + 2*r - 5*r) in the form o + y*r and give y.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4.785 - 0.215. What is the biggest value in -0.4, 0.5, u, -16?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -243*p**4 - 2*p**2 - 9*p?\nAnswer: -5832*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*w - 38975 - 333430 = 0. List the prime factors of w.\nAnswer: 3, 5, 11, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rss when three letters picked without replacement from {r: 2, s: 2, i: 2, w: 2}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 47614491, 47614506, 47614521, 47614536, 47614551, 47614566?\n\"Answer: 15*l + 47614476","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/2*-2 + 4 + -6. Suppose 0*j = -3*j + 6. Let g = j - n. Solve b + 4 = -3*t + 15, g = 3*t + 3*b for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 62026.63 litres?\nAnswer: 62026630","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**3 - 10*j**2 + 12*j + 43. What is k(-6)?\nAnswer: -173","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 37 = 5. Let t = h - -23. Which is the nearest to 0.1? (a) 3 (b) -2\/3 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 - -18. Suppose -f = -g - 1. Calculate the common denominator of (3\/g)\/(3\/18) and 61\/8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/15 + (-1120)\/4550.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w**4\/5 + 7994*w**3\/5 + 542778*w**2\/5 + 7305406*w\/5 + 6770624\/5 = 0 for w.\nAnswer: -49, -17, -1, 4064","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -2\/43 and -2*(-2*122\/72 + 0).\nAnswer: 387","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1197623163 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 + -76544154?\nAnswer: -76544150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -56, -2\/2949, 2 in descending order.\nAnswer: 2, -2\/2949, -0.4, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes after 6:52 AM?\nAnswer: 9:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -62 + 184\/3. Let w = 1.69 - -0.11. Let z = 1.1 - w. Put -0.2, z, k in decreasing order.\nAnswer: -0.2, k, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 400.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 28625330?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 3*w**3 + 10*w**2 - 2*w - 5. Let v(u) = 4*u**3 + 10*u**2 - 2*u - 6. Let r(c) = -4*v(c) + 5*z(c). What are the prime factors of r(9)?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 3\/40 of a kilometer?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -9*l - 27. Let o(a) = -5*a - 13. What is 6*f(m) - 11*o(m)?\nAnswer: m - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 8*i - 1. Let z be d(3). Suppose -2*j = 4*l - 2, -4*l + 3*j = -0 + z. Sort -4, -5, l in descending order.\nAnswer: l, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/11, -0.24, 15, 5 in decreasing order.\nAnswer: 15, 5, -1\/11, -0.24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -41, -89, -149, -227, -329, -461, -629?\n\"Answer: -q**3 - 41*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-93)\/(-6) + (-3)\/(-2))\/1. Let y = 17 - k. Suppose 0 = 2*l + 4*d - 14, 3*d = 5*l - y - 22. Solve -8 - 12 = -l*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-54)\/(-45)*(2 - 51\/(-2)). What are the prime factors of 2\/3 + 7634\/n?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-20)\/(-255))\/(-2)*(-3)\/(-1).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 27376 * -831.\nAnswer: -22749456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -32*c. Let z(s) = 222*s + 17. Let h(d) = 40*d + 3. Let g(i) = -22*h(i) + 4*z(i). Give y(g(o)).\nAnswer: -256*o - 64","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 65235464 (base 7) to base 15\nAnswer: 7510a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(3*sqrt(77)*2 + 1*sqrt(77)*-3))\/(sqrt(110)\/((sqrt(110) - sqrt(110)*-2)\/sqrt(11) + sqrt(10))*6).\nAnswer: -12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (19\/(-2))\/((-55)\/(-10) + -5). Let v = -168 + s. Let u = 2433\/13 + v. What is the closest to 0.1 in u, 1, -0.1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2540 + 2827 = 447*c - 1050 + 606 for c.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**3 + 6*o**2 - o - 2. Suppose -11*t + 7*t = -8. Suppose -t*x + 2*a = 14, x + 9 = -3*a + 6*a. Calculate u(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15215 is divided by 7210?\nAnswer: 795","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = 3*s - 6. Find the third derivative of 2*w**s - 7*w**4 - 3*w**2 + 3*w**4 wrt w.\nAnswer: -96*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -n**2\/4 + 9193*n + 1774272 = 0.\nAnswer: -192, 36964","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -10 + 39295?\nAnswer: 39285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 - 15. Let k(o) = -2*o - 7. Let w be k(n). Suppose 4*y = w*j - 29, 0 = -2*j - 0*y - 5*y + 50. Solve q - j = 6*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 37 = -2*a, 4*a + m + 13 = 102. Suppose -c = y - 6, 0 = -5*c - 0*y + 2*y + a. Factor -5*u**3 + 6 - c - 4 + 5*u**2 + 5*u - 2.\nAnswer: -5*(u - 1)**2*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 585*i + 82476 = -3997*i for i.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*c = 44*c - 37*c - 702 for c.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 5*l + 18. Let z(v) = -6*v - 18. Let q(j) = 5*f(j) + 4*z(j). What is the tens digit of q(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/1189813313 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffft. What is prob of picking 3 f?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fddftftqqdffd. Give prob of sequence fd.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -2*g**3 - 15*g**2 + 7*g - 5. Let d be i(-8). What is the nearest to -2 in 0, 1.4, d?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:39 PM and 9:31 PM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 3 and -152903.9?\nAnswer: 152906.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000000897904 to 7 dps.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, k: 7}. What is prob of sequence kkk?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000071332437 rounded to 6 dps?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 + 3. Let j = x + -8. Let a = 102.1 - 102. What is the biggest value in j, a, -4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 515 a factor of 332698755?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8070047.00000053 + -8070027. Let h = -20 + n. What is h rounded to seven decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/6730 and 87\/4.\nAnswer: 13460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (8 - 2) + (-3 - -1). Suppose -z*o = -3*o. Suppose 0 = 5*q - 4 - 46. Solve o*u + 2*u = -q for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 - -7.994. Let q = b + 0.11. Round q to two decimal places.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 + (104 - 1 - 1). Let o be 6\/(-51) - 90\/g. Which is smaller: o or -5\/6?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14603 + 12598.1. What is w rounded to the nearest 10?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 16 - 15. Let s(m) = 0*m**3 + 4*m**2 - 3*m - 2*m + m**3 + i. Let k(g) = -2*g**2 + 3*g + 4. Let x be k(3). Determine s(x).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 182223117?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-34)\/(306\/18))\/((-126)\/546)\nAnswer: 26\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 477966630948 + 41*w**3 - w + w - 477966630947.\nAnswer: 41*w**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s + 5. Let j = 120 + -120. Suppose 5*b - 2 - 13 = j, -23 = 2*c - b. Determine i(c).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -4, -1, 0, 2932, 1, -3 in descending order.\nAnswer: 2932, 1, 0, -1, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7395 = 6*o - 7437 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9485*c + 9513*c - 18998*c - 2*c**2.\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 15, 1\/4, -0.2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 365 = -3*k + 2*r, -4*r + 5 = -2*k - 249. Let g be 34\/k + (-577)\/(-84). Let j = g - 499\/84. Find the common denominator of 167\/30 and j.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 28255.843 - 28284. Let s = i - -0.057. Round s to the nearest integer.\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 9*u - 4. Let m(f) = -f**4 - 3*f. Let q(l) = -l**4 - 2*l. Let g(a) = u*m(a) - 3*q(a). What is x in g(x) = 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 10 = 2*o, -11*o + 9*o = -3*t. Let g be -2 + -1 + 1 + 1. What is the nearest to g in -1, 2\/7, o?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 85 + (6 - -10 - 23) + -6 - 4\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes after 11:34 PM?\nAnswer: 9:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10 in -14, -0.3, 193, 2\/9, 3\/8?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the first derivative of -8*w**6\/3 + 13*w**3\/3 - 19. What is the third derivative of i(t) wrt t?\nAnswer: -960*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 2*v - 4. Suppose 4*y = -2*f - 12, -4 = y + 5*f - 4*f. Let a be z(y). Put -5, a, 5 in decreasing order.\nAnswer: 5, -5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/36 and -97\/564.\nAnswer: 1692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -15*t - 51. Let x(d) = -12*d - 36. Let l(b) = 3*x(b) - 2*y(b). Let g(m) = m - 1. Give 2*g(u) - l(u).\nAnswer: 8*u + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 3*((-20)\/(-180))\/((-1)\/2)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**3 - 2. Suppose -2 = 3*m + 1. Let j(i) = 1. Let w be -1*2*(1 + 0). Determine m*u(y) + w*j(y).\nAnswer: y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 55492304?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 2*n - 2. Let j be l(-2). Let z be 118\/(-3)*j\/4. Let r = z - -15. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 6715 = -26*n + 31*n, 0 = n - 2*v - 1343. What is the thousands digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -43436*b**3*t**3 + b**3 - 2*b**2*t**3 - 150906*b**2*t wrt t?\nAnswer: -260616*b**3*t - 12*b**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 3, x: 5, j: 2, e: 1, c: 1}. Give prob of picking 1 e, 1 x, and 1 w.\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*q**2 + 54*q - 56*q - 14*q**2 - 20*q**2 to w*q**2 + p + t*q and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 2*w**2. Suppose 29*l + 98 = 43*l. Let y(g) = -l*g - 4*g + 10*g - 10 + 0*g. Calculate n(y(b)).\nAnswer: 2*b**2 + 40*b + 200","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 22 = 3*a, 0*a = -3*a - 3*z - 15. Let d(x) = x**3 + 7*x**2 + 5*x - 1. Let r be d(a). Differentiate 15 + 5*o**3 + 6*o**3 - r*o**3 with respect to o.\nAnswer: 18*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 214.665048 rounded to the nearest 100?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**3 + 68*o**2 + 49*o - 21. Determine l(-67).\nAnswer: 1185","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6425236471 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -4091160, -8182322, -12273484?\n\"Answer: -4091162*k + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 39*u**4 - 6*u**3 + 47*u**2 + 407. Let h(g) = 32*g**4 - 5*g**3 + 46*g**2 + 407. Let c(y) = -6*h(y) + 5*p(y). Find the first derivative of c(m) wrt m.\nAnswer: 12*m**3 - 82*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12947052 divided by 318?\nAnswer: 40714","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-24))\/(((-80)\/45)\/(-4)).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 341 + -341. Solve -x + t = 5*o - 1, 0 = -2*x + 2*o + 2 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the first derivative of 4*z**3\/3 - 3*z**2\/2 - z + 3. Let a be l(5). Suppose 2 = c, -4*q = 2*c + 2*c - a. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 8*q + 3 - 2 + 10*q.\nAnswer: 2*q - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4, -8, -16, -28, -44?\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = -10*u - 10. Suppose -9 = -u*y + 2*y. Let k = 97 + -483\/5. Which is the closest to y? (a) -2 (b) 0 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -292? (a) 1 (b) -0.17 (c) -0.1 (d) -2\/13 (e) -3\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -50*r**2. Let p(x) = -x. Determine p(w(u)).\nAnswer: 50*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minus 26410?\nAnswer: -25717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 186933472 to the nearest integer?\nAnswer: 13672","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 23 = 5*l - 2*u, -3*u + 4 = 2*l. Suppose -l = -2*n - c + 13, 2*n = c + 26. What is the second derivative of -6*v**2 + n*v**2 - 4*v + 13*v wrt v?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, 2.3, 1, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4431035 (base 6) in base 2?\nAnswer: -110110001010011111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-7) - ((-480)\/56)\/5. Suppose 0 = -3*c + 3*s + 12, -4*s + r*s = 0. Let p(u) = 68*u - 36. Is 11 a factor of p(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 44 and 1004?\nAnswer: 11044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 29 - 81 = -2*j, 0 = -5*j + 2*g + 131. Solve j*d = 29*d + 4 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2.3 from -0.065.\nAnswer: -2.365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 174821 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**3 - 15*d**2 - 13*d + 18. Let h be v(-14). Let r be (2\/h)\/(((-4)\/(-40))\/1). Let j be 87\/27 - 2\/9. Sort j, r, -5 in decreasing order.\nAnswer: r, j, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -255 + 1279\/5. Let p be (4\/(-10))\/((-8)\/(-12625)). Let f = -622 - p. Find the common denominator of f and c.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -s**2 - 130172*s - 4236187396 = 0?\nAnswer: -65086","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/4)\/(585\/(-234))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -37*d**2 - 10*d - 5. Let v(c) = 18*c**2 + 5*c + 2. Let o(g) = -2*s(g) - 5*v(g). Find the second derivative of o(n) wrt n.\nAnswer: -32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a century in years?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 66264619171 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 34411*i**2*m**2 - i*m**2 + 218780*i*m + 6*i + m wrt i?\nAnswer: 68822*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-2*3\/12).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**2 + 6. Let d(l) = -661*l - 5. What is d(q(s))?\nAnswer: -661*s**2 - 3971","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5470 + 5457. Let r = -21 + 18. Sort 0.5, 6, n, r in descending order.\nAnswer: 6, 0.5, r, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + 10 = -2*r + 26, -3*k = 6 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -6 + 15*v**2 - 2*v**2 + 29*v - 6*v**3 - 10*v. Let b(o) = 7*o**3 - 14*o**2 - 20*o + 5. Let m(z) = 5*b(z) + 6*f(z). What is the units digit of m(9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 463912?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 190178011?\nAnswer: 19, 10009369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 4*s + 256 = 0, 5*s + 91 = 2*o - 89. What is the units digit of o + (1 + 0)*-1?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13266898 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 353 is divided by 40?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -2*u - 14. Suppose -3*c + f = 2 + 44, 4*c + 3*f + 70 = 0. Let y = 17 + c. Calculate the lowest common multiple of y and z(-12).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((0\/(-2))\/2)\/(-1). Let q = 3 - i. Let f = q - -1. What is the second smallest value in -3, 0.2, f?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2 + -3)\/((-19)\/38). Find t such that -5\/4*t**5 - 5\/4*t**4 - 5\/4*t - 5\/4 + 5\/2*t**s + 5\/2*t**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 - 2.9187284.\nAnswer: -2.7187284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 126*s. Let t(r) = 81 + 1725*r - 20*r**2 - 81 - 1725*r. Determine t(n(b)).\nAnswer: -317520*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 2*h = 2, 3*j - 8*h + 6 = -11*h. What is the smallest value in 0.2, 2, j, 3\/5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 30\/8*(-2)\/(-5). Let p = -35.3 + 35. Which is the nearest to 0? (a) -1 (b) p (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 + 0. What is the nearest to -1 in j, 2, -3\/4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7703 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: Rearrange 31*p**2 + 6*p + 43*p + 103*p + 33*p - 22*p**2 to the form x*p + u*p**2 + v and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -4*s**2 + 10*s + 4. Let n be u(3). Let w(d) = 0*d**3 - 7*d**3 - 5*d + d - 2*d**2. Is 28 a factor of w(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -93? (a) 13.8 (b) 0 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*w = -73*w - 20. Let o(h) = -17*h + 3. Determine o(w).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:47 AM and 11:38 AM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4099697 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 641, 5671, 19295, 45809, 89509, 154691?\n\"Answer: 716*h**3 + h**2 + 15*h - 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3\/(-1) + 1)*((-93)\/(-6) + -16). Solve 5*l + 16 = -3*j, 0*l = 2*l + 3*j + c for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -95 and -94 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, b: 1, t: 2}. Give prob of picking 2 t.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/5 (b) -3 (c) 2 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10 by -33.\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the third derivative of h**6\/160 - h**5\/40 - h**2 - 8*h. Let s(j) = 0. Calculate j.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -47.77923 * -2\nAnswer: 95.55846","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 - 8 = -3*z + 4*s, -4*s = 5*z - 7. Let p(d) = -3 + z - d. Let j(k) = -k. Give j(p(w)).\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzhh when four letters picked without replacement from {z: 2, h: 8}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 q, and 2 b when four letters picked without replacement from zzbqbzbbb?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, t: 9}. Give prob of sequence tppt.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*c + 401 = 55*c - 32*c - 3724 for c.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -41 + 50 + -9 + (-10 - 5)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**3 - 9*v**2 + 9*v - 5. Let t be (-7)\/(-2)*-2 + -3. Let s be c(t). Let x = 0 + s. List the prime factors of x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**2 + 22*t - 70. Let i be s(16). Suppose i*x - 100 = -1036. Is -36 < x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 197122\/40 - 27\/(-36). Let w = i + -4945. Let c be 56\/(-40) - (-146)\/(-10). Which is greater: w or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6 - 0) + -41 + 38\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 462 = 4*r. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u + 4*u + u)*(15 + 4*u - 15).\nAnswer: 8*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, -1515, -2 in decreasing order.\nAnswer: 19, -2, -1515","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1175.\nAnswer: 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 31 + -27. Suppose 3*j = 5*h - 3 + 34, v*j = h + 47. Let q be (-1)\/((-220)\/600 + (-1)\/(-6)). Solve -q*o = 3*t - j, -t + 13 - 2 = 4*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 196 by -55321.\nAnswer: -4\/1129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 111 and 137307?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-6*-2*sqrt(252) + -5*(sqrt(252)*1 - sqrt(252))))\/((sqrt(576) + (-2*sqrt(576) - sqrt(576))*-3 + sqrt(576) - -3*(sqrt(576) + -1*sqrt(576)))*6).\nAnswer: -sqrt(7)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -207 = -4*m + b, -3*m + 155 = -0*b - b. Let t be (5 - 0 - 0) + 125. Calculate the highest common factor of m and t.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -68 divided by 541196.\nAnswer: -17\/135299","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*g**2 - 25140*g + 75375.\nAnswer: 5*(g - 5025)*(g - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 139\/2532 and -193\/68340?\nAnswer: 14419740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a - 3. Let v be n(-6). Suppose 7*s + 4*j = v*s + 412, 3*s = 4*j + 330. Suppose 0 = -3*d + d + s. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1392730 is divided by 274?\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -100.877798 rounded to zero decimal places?\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -2*t**2 + 24*t + 180. Determine u(17).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 218157 to the power of 1\/2, to the nearest integer?\nAnswer: 467","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**2 + 1. Let n = -55 - -57. Let u(g) = 2 + 4*g - 4*g - 13*g**2 + 8*g**n. What is -2*l(f) + u(f)?\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 3944?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 + -6f4?\nAnswer: -6f2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 45*p + 50. Determine k(-2).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 9191.532 litres?\nAnswer: 9191532","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 6 + 2 = 3*j, 4*j + 5*u = 36. Let y(v) = v**3 - 3*v**2 - 4*v + 5. Let g be y(j). Solve -g = 5*s, -5*q + 2*s + 7 + 5 = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 9 (b) -0.1 (c) 3 (d) 10\/3193 (e) -11 (f) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 209 and 323.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-99134)\/(-291))\/73*(50\/(-4))\/(-5)?\nAnswer: 35\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**2 + 4*i. Calculate the remainder when 61 + (1\/(-7) - 104\/56) is divided by f(-6).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 673.9266l?\nAnswer: 673926.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -14, -32, -50, -68?\n\"Answer: -18*o + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 7, -0.2, 29?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 475.47 - 0.47. Let p = r - 475.5. What is the nearest to 1 in p, 0.4, -3, -0.2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1955?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 2351*b + 3029. Determine y(-3).\nAnswer: -4024","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -22576*w + 7140 wrt w.\nAnswer: -22576","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1227418012.\nAnswer: 2, 19, 16150237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9815 and 1150620.\nAnswer: 14958060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 52.8365 nanometers?\nAnswer: 0.0528365","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**3 + 2*h + 4. Let z = 109 + -111. Let d(p) = 4*p**3 + 11*p + 21. Determine z*d(k) + 11*f(k).\nAnswer: 3*k**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b - 5. Let d = 21 + -11. Suppose -d + 2 = -2*v. Let y be o(v). Let r(z) = 5*z - 1. Give r(y).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 o when two letters picked without replacement from {r: 3, o: 1, k: 2, e: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 25.1224 rounded to 1 dp?\nAnswer: 25.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in eighteen sevenths of a week?\nAnswer: 25920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -288 - -276. Let x(l) = 10 - l**2 - 2 + 12*l + 2*l**2. Let y be x(s). Solve 5*v = -4*c - 5, 3*v - y - 11 = 2*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1, 3\/7, 0.16, -4?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 + -9 + -25 + 8 + -18 - -3?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -7*r**3 - 106*r**2 - 88*r + 186. Let n(o) = 20*o**3 + 316*o**2 + 264*o - 560. Let d(q) = -8*i(q) - 3*n(q). Factor d(w).\nAnswer: -4*(w - 1)*(w + 2)*(w + 24)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, p: 2, u: 1, t: 1}. Give prob of sequence zut.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -170 + 255. Let z = 0.18121 - -84.77579. Let d = c - z. Round d to two decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -67, -100, -145, -208, -295, -412?\n\"Answer: -o**3 - 26*o - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 26730787 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 13 = -12. Suppose -5*y - 40 = -50. Suppose 3*l - d = 4*z, 9 = l - y*z - 3*z. Which is the nearest to l? (a) 5 (b) -5 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14 - 14 + 13*c**2)*((-2 - 2 + 2)*(8*c**2 + 40*c**2 + 78*c**2) - 5 + 5 + 3*c**2).\nAnswer: -3237*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 79*d**3*o - 283*d**3 + 12*d**2*g + 7*d**2 + 143*d*g*o wrt o?\nAnswer: 79*d**3 + 143*d*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (12\/(-9) - -2)*9. Solve -s**2 - 11*s**2 - l*s - 2*s**4 - 2 - 8*s**3 - 2*s = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5357 is divided by 1040?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + 6*s = -2*n + 10, -2*n - 11*s + 22 = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**2 - k + 2. Let z be p(2). Suppose 5*s + 49 = 4*f, -2*f - 2*s - 3*s = 13. Is 160 - f*2\/z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -855561000 rounded to the nearest one hundred thousand?\nAnswer: -855600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 41*z**3 - z**2 + 5*z - 1. Let d(n) = 69*n**3 - 2*n**2 + 10*n - 2. Let q(a) = -3*d(a) + 5*f(a). Calculate q(2).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 + 15. Suppose 22 = -d + 5*z, 4*z - 11 = o. Find the second derivative of d*n**2 + 2*n - 2*n**2 - 1 + 1 wrt n.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 2*o**3 + 42*o**2 + 41*o + 8. What is h(-20)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -30*r**6 - 16*r**3 - 1180*r**2 wrt r.\nAnswer: -3600*r**3 - 96","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.51 (b) 5413 (c) -9\/4 (d) -1\/4 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/16 in -1.79, -3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/(-6))\/(2\/(-12)). Suppose o*g - 19 + 3 = 0. Suppose -2*s + 0 = -g, -3*q = -s - 92. Calculate the greatest common factor of 64 and q.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -613*m + 103 = -716*m. Let t(s) = 29*s + 3. Calculate t(m).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 a, and 1 q when three letters picked without replacement from {q: 2, u: 1, a: 2, y: 8}?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(((-4)\/(-12))\/(3\/(-45)))?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 18*y + 6. Suppose 27*c - 25*c + 50 = 3*f, 5*f - 75 = -5*c. Let u(m) = 6*m + 2. What is f*u(l) - 5*i(l)?\nAnswer: 6*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0\/(-27)*(-2)\/(-2). Let c = -22 + 24. Suppose -c*b + 5*b = 0. Solve b = -u*x - 2*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7662656 centuries to months.\nAnswer: 919.51872","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 202 + 12221112?\nAnswer: 12222021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**0*w**18*(w**10*w)**(2\/65))**3 assuming w is positive.\nAnswer: w**(3576\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -19*o + 23*o - 8 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000529222716 to 5 decimal places.\nAnswer: -0.00053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 300 and 1868925.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*j - 4*j - 10*j)*(-974*j**2 + 974*j**2 + 17*j**4).\nAnswer: -357*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -20fa29 (base 16) to base 3\nAnswer: -11001210121012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 39.8 - 44. Let x = m + -0.8. What is the biggest value in 0.05, x, 2\/19?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*p = 7*p + 76. Let y = -2005 + 2420. What is the remainder when y is divided by p?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from njjnvjbnnjjdjjnjqdnq. What is prob of picking 2 n and 1 q?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rsrkrrres. Give prob of picking 2 r.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*o - 5*o + 50. Let x = o + 41. Suppose d + 5*j - x = -2, 0 = -4*j. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-30*n - 45*n + 29*n)*(-8 - 10 + 17) to i*n + t and give i.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**(-1\/4))\/m**(-2\/9))\/(m**(12\/5)\/m**(-16)) assuming m is positive.\nAnswer: m**(-3047\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 63*h - 67*h + 29 = 0, 5*h = 19*q + 125. Suppose -3*r + 5 = -1. Put 3, 7, r, q in decreasing order.\nAnswer: 7, 3, r, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 12816 = -23*t - 62*t. What is the least common multiple of t and 480?\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000004032566731 rounded to seven decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8721 and 31008.\nAnswer: 279072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47 = 38*q + 9 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -76 + 39 + 4*q + 42. Let h(k) = 14*k - 116. Let o be h(8). Determine t(o).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 896450 - 640281. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -651 - -650.5. Which is the closest to 1\/21? (a) o (b) 1 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the first derivative of 2\/9*m**3 + 13 + 10\/3*m**2 + 0*m. Find r such that p(r) = 0.\nAnswer: -10, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12951?\nAnswer: 3, 1439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*d - 1466 - 312 = 0. Let m = d + -127. Solve m*n = n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 107702 - -3?\nAnswer: 107705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 4757125 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-58)\/126 + 25\/(-225). Which is the second biggest value? (a) 0.05 (b) -70 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(2\/11)*r)**29)**(-44) assuming r is positive.\nAnswer: r**(-1508)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 65*-5.\nAnswer: -325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i + g + 55, 2*g = -3*i - 25 + 80. Solve -4*n - 44 = -i*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -4, -9, -2, 3, -1.\nAnswer: -11, -9, -4, -2, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 56723 - 4777?\nAnswer: 51946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2177248.\nAnswer: 2, 19, 3581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-3 + 0 - 1 - -2) + 2\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1223307250 a multiple of 187?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**3 + k**2 + 4*k - 11. Let a be o(2). Calculate the highest common factor of 1134 and a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -760 + 5145. What are the prime factors of i?\nAnswer: 5, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*g = -291 + 511 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kllklkkltktkaktllk. What is prob of picking 2 t and 1 k?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 505423408?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110)*1*1 + 3*(sqrt(110) + sqrt(110) + -2*sqrt(110)))\/((2*sqrt(90) - sqrt(90))*-6)*-2.\nAnswer: sqrt(11)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 124747, 122517, 120287, 118057, 115827, 113597?\n\"Answer: -2230*u + 126977","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 2*p + 6*p**2 + 2*p)*(p - 2*p + 2*p) + (-2*p**2 - 3*p**2 + 7*p**2)*(-2*p + 0*p + 4*p))*(-1 + 1 + 2*p)*(-71 - 193 + 28).\nAnswer: -4720*p**4 - 472*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes before 5:28 AM?\nAnswer: 9:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 7586 to the power of 1\/2, to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40 = -10*p - 0*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -3*c - 15. Let k be i(-7). Let x(w) = -w - 1. Let t(d) = -2*d**2 + 6*d + 6. Calculate k*x(s) + t(s).\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -5927 (base 12) to base 4\nAnswer: -2123233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(132)*3*5 + sqrt(132))\/sqrt(12)*-1)**2.\nAnswer: 2816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 29 + -28.5. What is the closest to 0 in -4\/5, h, -2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2640?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 20246 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 15*j**2 - 12*j**2 + 23*j**2 + 6 to the form r*j + u + b*j**2 and give b.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the third derivative of c**4\/12 + 2*c**3\/3 + c**2. Let q = -6 + 7. Let s = q + -6. What is p(s)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -816.11191 - -816. Let b = -59.41809 + x. Let h = -59 - b. What is h rounded to one decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -93, -12, -4 in increasing order.\nAnswer: -93, -12, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4800 + 62489\/13. Let g = 7 - m. Which is the second smallest value? (a) -2\/7 (b) g (c) -0.2 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**2. Let l(j) = 3*j**2 - 3*j + 4. Let m(s) = 4*b(s) + l(s). Let t be m(-4). Solve n = 2*v, v - 6*v = t for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2927 - 12356 = -31*c. What is the remainder when c is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) -10 (c) -13 (d) 26 (e) 3 (f) 329\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 49*w - 17. Let r be c(4). Suppose -3*u - r = -4*u. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 24 and 12?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 - ((0 - 0) + 2). Suppose 6*x - 63 = 2*x + 3*p, 2*x + 4*p - 4 = 0. Calculate the smallest common multiple of (-20 + h)*(-6)\/7 and x.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*c + 3*c = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2012, 3587, 5198, 6863, 8600?\nAnswer: 10427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 223, 1.\nAnswer: -5, 1, 223","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 107596 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 76991235 and 115?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(((-4)\/14)\/(20\/(-35)))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/7 or 3.196?\nAnswer: 3.196","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3361 is divided by 58?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 8, -2 in decreasing order.\nAnswer: 8, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*c*c\/(c\/((c**5*c*c*c)\/c*c))*c*c*c\/(c\/((c*c**9)\/c))*c*(c\/c**(-3\/8)*c*c)\/c**1 assuming c is positive.\nAnswer: c**(195\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2\/5 - 48036\/(-300)*5.\nAnswer: 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -8860270 and -3.\nAnswer: 26580810","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bl when two letters picked without replacement from {l: 6, q: 2, b: 3, g: 1, t: 1}?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + v + 9 = 0. Solve -3*t + p - v = 0, 0 = -4*t + p + 3 - 16 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + f**3 + 3 + (-2*f**2 + 0*f**2 + 0*f**2)*(1 - 1 + f) - 2*f**3 - 3*f**3 + 3*f**3)*(-99*f - 37*f + 38*f)*(-7 + 27 + 1).\nAnswer: 6174*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -632, -677, -788, -995, -1328, -1817?\n\"Answer: -5*m**3 - 3*m**2 - m - 623","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the third derivative of 1\/100*f**5 + 0*f + 0*f**3 + 0*f**4 - 3\/200*f**6 - 1\/560*f**8 - 2*f**2 + 0 + 3\/350*f**7. Factor g(w).\nAnswer: -3*w**2*(w - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 2 f, and 1 e when four letters picked without replacement from {f: 7, h: 7, e: 2}.\nAnswer: 21\/130","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is d3bc170 - -3?\nAnswer: d3bc173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the second derivative of -l**5\/20 - l**4\/6 + l**3\/3 - l**2 - 52*l. What is z(2)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + x - 36 = 0. Let -9*q + 25*q**5 + 6 - 6*q**2 - 28*q**5 + 0*q**3 + x*q**3 = 0. Calculate q.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5951 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 13533 divided by 2781\nAnswer: 4511\/927","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.39*0.2.\nAnswer: -0.478","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 485841942.\nAnswer: 2, 3, 61, 79, 1867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b and 1 r when four letters picked without replacement from boobbbbbvrbbb?\nAnswer: 84\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 40 + -52. Suppose 3*x - 32 - 4 = 0. Let y = m + x. Solve y = -5*q - 5 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y - 82557 - 97443. Round y to the nearest ten thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16 + 7 + 10*t**2 + 9 - 3*t - 18*t**2.\nAnswer: -8*t**2 - 3*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 - -5. Sort d, -3, 1\/9 in ascending order.\nAnswer: -3, d, 1\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 + -8. Let q be i\/5 + 65\/25. Differentiate k + q + k + 5 - 1 with respect to k.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**2 - 396*c - 5389. Determine x(-13).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) 14 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*j - 2*o + 8, 38*j + 3*o = 33*j + 10 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times -0.01604\nAnswer: -0.006416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -85b3 (base 14) in base 12?\nAnswer: -11441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 at least as big as 743?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2232412 litres in millilitres?\nAnswer: 223.2412","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-75)\/2*(-2)\/3. Suppose -4*r = 5*c + q, 5*r = -5*c - 15 - 10. Let u(s) = -4*s. Calculate the smallest common multiple of u(c) and 6.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -8, -32, -66, -116, -188?\n\"Answer: -r**3 + r**2 - 20*r + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the first derivative of 2*t**6\/11 + 146*t**5\/55 + 12*t**4 + 108*t**3\/11 - 430*t**2\/11 - 150*t\/11 + 728. Suppose w(n) = 0. Calculate n.\nAnswer: -5, -3, -1\/6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q + 16. Let z be k(12). Suppose -z*u + 5*f = 32, 3*u = 4*u - 5*f + 23. What is the third biggest value in -2\/13, u, 0?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4*(-2 + -13*2). What is the common denominator of -3*-1*(-4)\/b and -27\/16?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 10.5, -4, -9, 3\/2, 2, -618\/25?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 1139*b - 51259. Determine a(45).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.130126 + 551.8?\nAnswer: 552.930126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 136*m**2 + 3*m + 1. Let f(a) = a. Let d be f(-2). Let u be q(d). Suppose 0 = -3*c + u - 152. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t\/(t**(-1\/5)\/t))*t*t\/(t*(t**4\/t)\/t))**(-14\/5) assuming t is positive.\nAnswer: t**(154\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, e: 6, p: 10}. What is prob of sequence le?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1*-5012361.8\nAnswer: 5012361.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 12 = 15*k - 18*k, -6*m - 12 = -3*k. Solve -3*c + 27*i - 7 = 29*i, 0 = -4*i + k for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the first derivative of w**3\/3 - 2*w**2\/3 + w\/3 + 1519. Factor s(a).\nAnswer: (a - 1)*(3*a - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**3 + 2*f**3 - 2*f**3.\nAnswer: f**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1*298)\/((-2)\/2). Let y be ((-5)\/1*(-14)\/(-7))\/(-2). Put -0.3, y, o in descending order.\nAnswer: y, -0.3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -80, -311, -704, -1265, -2000, -2915, -4016, -5309?\n\"Answer: -s**3 - 75*s**2 + s - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -672 - -672.5. What is the third smallest value in -0.048, m, -0.5, 4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a second in milliseconds?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 5*sqrt(28)\/sqrt(4))*-5 - (sqrt(252)\/sqrt(9) + (-2*sqrt(567) - sqrt(7)))*4.\nAnswer: 20 + 43*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange p**3 + p**2 - 2*p - 18*p**4 + 20*p**4 - 4*p**2 to g*p**2 + s*p**3 + w + n*p**4 + h*p and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 + 2 = -2*w. Suppose 2*n - 3*n = -w. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**2 + 18*b - 43. Let f be o(11). Suppose -f - 76 = -5*q. Solve 10 + q = 8*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 293?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -1316*k**3 + 2*k**2 - 7*k + 6. Let x be p(1). Let y = -534 - x. Does 32 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3954*w + 9734 = 770 + 1586 - 4484 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hfcmmkp. Give prob of picking 1 m and 1 f.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-59)\/(17700\/24) + -1 + 327\/25\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 3*r**3 + 2967*r**2 + 41097*r + 143325 = 0.\nAnswer: -975, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 773.3169 months?\nAnswer: 0.64443075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -170, -169, -168, -167?\nAnswer: -166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 11, 64, -7, -0.4, 2\/5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*z**2 + 15*z**2 - 33*z**2 + 9*z**2.\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 365*i + 361608 = 5043828. What is the ten thousands digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/9, -94.7, -5?\nAnswer: -94.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0\/(3 - (-20)\/(-5)). Suppose 10 = -4*l - 5*t, 3*l + 2*t + 4 = -o*l. Suppose -4*v - 8 = -l*v. Sort -4, v, 2 in descending order.\nAnswer: 2, v, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1303085232 divided by 325771308.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2408729?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 10, 3, -4, -11, -18?\n\"Answer: -7*c + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 0 + 0 + -1*sqrt(192)*-2 + sqrt(192) + -1*sqrt(192)*-2 + sqrt(192) + 0.\nAnswer: 2 + 48*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8*s**3*w**3 + 3*s**3*w**2 + 7*w**4 - 285*w wrt w?\nAnswer: 48*s**3 + 168*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1476\/(-656))\/(3\/6*6).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 200412 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 121.908 or 41?\nAnswer: 121.908","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the first derivative of -v**4\/24 + v**3\/6 - 3*v**2\/2 - 2. Let q(c) be the second derivative of x(c). Let w = 1 - -3. What is q(w)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 3*y - 3. Let m(n) = -54*n**2. Calculate h(m(v)).\nAnswer: -162*v**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3058 + -18275\/6. Suppose -18 - 26 = 2*r. Find the common denominator of z and (-1)\/2 + 64\/r.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (6\/(-5))\/((-3)\/10). Suppose 32 = -4*h + 4*q, 2*h = s*h + 5*q - 5. Which is the second biggest value? (a) -8 (b) 3 (c) 1\/4 (d) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -8893\nAnswer: 3\/8893","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2438 is divided by 37.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 4*s + 14. Let q(t) = 4*t + 13. Determine 7*q(c) - 6*v(c).\nAnswer: 4*c + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10, -28, -62, -118, -202, -320?\nAnswer: -478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -301, -4977, -17 in ascending order.\nAnswer: -4977, -301, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the third derivative of -h**6\/180 + h**5\/30 - 4*h**3\/9 - 9*h**2. Factor x(f).\nAnswer: -2*(f - 2)**2*(f + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -329.0844295+3\nAnswer: -326.0844295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 0 - 2 - 2 - 2*l. Suppose 3*s + 15 = -3*k, -2*k - 24*s - 9 = -23*s. List the prime factors of z(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -216*c**2\/5 - 426*c\/5 + 12\/5.\nAnswer: -6*(c + 2)*(36*c - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 4000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4 or -198830084?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 61064842?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in 1\/7, 0, -3\/4, -7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 136.59 + -136. Let f = -0.56 + h. Which is the third biggest value? (a) 1\/2 (b) -2 (c) f (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 166 - 166. Suppose 3*i - 3*s + 231 = h, 3*s = 3*i + 6*s + 255. Which is smaller: -83 or i?\nAnswer: -83","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 2*m = -56, -m = y + m + 16. Let q be 288\/y + (-22)\/110. Let d = 73 + q. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i - 2*a + 104, -3*i + 4*a - 72 = -194. Calculate the highest common divisor of i and 3576.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 58\/113, 4, -42?\nAnswer: -42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**2\/3 - 622*o\/3 - 78736.\nAnswer: (o - 888)*(o + 266)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 7768.\nAnswer: -3\/7768","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the second derivative of 0*s**5 + 1\/3*s**4 + 0*s**2 + 3*s + 0*s**3 + 0*s**6 + 0*s**7 - 1\/14*s**8 + 0. Find the third derivative of x(c) wrt c.\nAnswer: -480*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**3 - 12*v**2 - 10*v + 13. Let j(m) = -5*m + 4. Let c be j(3). Let h be q(c). Let w(s) = 5*s**h - 78*s + 78*s. Let f(x) = -x**2. What is f(w(g))?\nAnswer: -25*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1375743 rounded to the nearest 100000?\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 19095 by 5.\nAnswer: 3819","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5857494?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 130 and 240?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 7 = 7. Let p(h) = h**3 - 6*h**2 - 9*h. Determine p(q).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -81 divided by -81?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -399*j + 15 = 3*i - 402*j, 47 = -5*i - 4*j. What is the nearest to -0.1 in 20, i, 0.13?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 5 = -4*y + 1, -5*y - 20 = -3*b. Suppose -1 = b*j - 51. Let d be (-12)\/j + (-2)\/(-10). Sort 1, d, -3.\nAnswer: -3, d, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 8 + -6 + 1\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*r + r - 8. Let b be (-7 - -2)*r\/(-10). Factor 2\/3*p - 2*p**b - 2\/3*p**2 + 0 - 10\/3*p**3.\nAnswer: -2*p*(p + 1)**2*(3*p - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.14 - 0.32. Let z = -67.54 + y. Let c = 69.061 + z. Round c to 2 dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 699925211.\nAnswer: 19, 1938851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = 0, -2*d = g - 3 - 74. Suppose -f = f - 108. Let a = g - f. What is the remainder when a is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1758.\nAnswer: 2, 3, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 25651 take away -0.2?\nAnswer: 25651.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 5*g + 115. What is u(-32)?\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -51 - -1012003324?\nAnswer: 1012003233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 132811, 265537, 398263, 530989, 663715, 796441?\nAnswer: 929167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 30 = -3*i + 10, -2*j + 3*i + 35 = 0. What are the prime factors of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 664.1 + -663. What is m rounded to 1 decimal place?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the third derivative of -5\/6*p**3 + 0 + 1\/60*p**5 + 7*p**2 - 5\/24*p**4 + 0*p. Let m(a) = 2*a**2 - 5*a + 4. Let h be m(3). Calculate x(h).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19406?\nAnswer: 2, 31, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9178890 by -8421.\nAnswer: -1090","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1084239607?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from krkkkkkrrr. Give prob of sequence kk.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000214760937 rounded to 6 decimal places?\nAnswer: 0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -5*y**2 - 2*y + 4 - y**3 - 2*y**3 + 4*y**3 - 4*y. Let d be 4\/8 + 33\/6. Determine i(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -157150, -156827, -156504?\nAnswer: -156181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -13396*r + 776901. What is d(58)?\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.2527 - 0.7527. Let p = 0.4 + 0. Let h = -111 + 338\/3. Sort p, -5, z, h in decreasing order.\nAnswer: h, p, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the third derivative of m**5\/60 + m**4\/24 - 5*m**2. Suppose -3*i - 66 = 177. Let c be 38\/(-9) + (-18)\/i. What is v(c)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1927 is divided by 609?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5.6868 and 2332.\nAnswer: -13261.6176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -46 (b) 1 (c) -0.5 (d) -8 (e) -0.9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -8*q**3 - q**2 - 7*q - 21. Is u(-7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bicbbcc. Give prob of picking 2 b and 1 i.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:02 PM and 12:18 AM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 44, 126, 246, 398, 576, 774, 986, 1206?\n\"Answer: -y**3 + 25*y**2 + 14*y + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 184123?\nAnswer: 101, 1823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - (-1 - 2)) + 49 + -112 + 73.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -196 + 2044 = 31*f + 70*f - 35*f for f.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -3*x - 13. Let t be q(-5). Suppose -t*w - 4 = 3*f - 5*f, -4*w - 4*f = -16. Sort w, 10, 2.\nAnswer: w, 2, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.4 - 2.4. Let h = 7.99 - 8. Let l = 23\/18 + -16\/9. Put h, l, u in ascending order.\nAnswer: u, l, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*x + 211 = -5*w + 34, 16 = -x + 4*w for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 570*f - 605. Let g(v) = -95*v + 101. Let x(i) = -25*g(i) - 4*u(i). What is the derivative of x(z) wrt z?\nAnswer: 95","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n\/(n**(-22)*n))*n*n)\/(n*(n\/(n*n\/n**30))\/n))\/(n**(-36)\/((n**36*n)\/n)) assuming n is positive.\nAnswer: n**24","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.1, 14, -283, -1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 73774 (base 11) to base 8\nAnswer: 321620","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 4, h: 5, u: 4, f: 6}. What is prob of sequence feh?\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llllclcc. Give prob of picking 4 l.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*w - 50 + 50)*(-320 - 360 + 573) to a + k*w and give k.\nAnswer: -214","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/2, -0.139, -351, 20?\nAnswer: -351","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**3 + 7*u**2 - 6*u - 14. Let g be j(6). List the prime factors of 4\/14 + (-206)\/g.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -1. Let x(z) be the first derivative of -z**5\/120 - z**4\/8 - 5*z**3\/3 + 21. Let n(t) be the third derivative of x(t). Calculate -3*a(k) + n(k).\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -423\/352 < -123?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000466591 rounded to five dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = 57 - 17. Let q = o - -16. Calculate the highest common divisor of 12 and q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5\/(-5)*6*(-4)\/3. Let l(d) be the second derivative of d**4\/12 - 7*d**3\/6 + 5*d**2\/2 + d + 6. What is l(n)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 160922?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 550 - 19489638685.\nAnswer: -19489638135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2415986 divided by 5?\nAnswer: 2415986\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 3*d**2 + 38*d - 628. What are the prime factors of s(31)?\nAnswer: 3433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z**4\/7 + 51*z**3\/7 + 243*z**2\/7 + 3*z - 210 = 0 for z.\nAnswer: -7, -5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 232.1 + -36.1. Let v = w + -195.6. Let y be (4\/3)\/(-3 - 7). What is the closest to y in -5, -4\/3, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 15*t**3 + 4*t**2 + 6*t + 7. Let j(p) = -7*p**3 - 2*p**2 - 3*p - 3. Determine -6*g(d) - 13*j(d).\nAnswer: d**3 + 2*d**2 + 3*d - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/39 or -6\/11?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 3*t + 5*p + 21 = 0, 45 = 3*t - 3*p. What is r in 3*r**5 - r**5 + t*r - 4*r**3 - 16*r = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -v - 252. What is the highest common factor of v and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 - 32. Let v = f + 22. Which is the closest to -0.6? (a) 3 (b) v (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -3*l + l + l + 0*l + 2. Let n be x(0). Let q(i) = 9*i - 1. Let p(f) = -9*f + 2. Let y(d) = -2*p(d) - 3*q(d). Let j(t) = -4*t. Give n*y(k) - 5*j(k).\nAnswer: 2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 77 (b) 9\/4 (c) 5 (d) 0.14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 687*n - 299*n - 366*n - 12 in the form t*n + z and give t.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 44367 + 7?\nAnswer: 44370","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -4*q + 3. Give b(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*d = 8*d + 12. Let s be (d + -6 + 2)\/((-2)\/20). Suppose -33 = -c - s*c. Solve 0 = -c*p + 5 + 10 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 921 - 930 - (-5 - 1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 20592 = -30*y. Let r be y\/(-60) + 10 + (-22)\/(-60). Let s = 1 - -3. Which is the closest to 0.1? (a) r (b) s (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -489*a + 1436*a - 468*a - 5*a**2 - 479*a.\nAnswer: -5*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**2 + r. Let d(j) = -j + 1. Give -5*d(c) - m(c).\nAnswer: c**2 + 4*c - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, -2\/3, -0.01, -8\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 468 and 2925?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4871 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 10*d. Let t(h) = -h. Let z(q) = b(q) + 5*t(q). Let x(m) = -8*m. Give z(x(y)).\nAnswer: -40*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j**3 + j**3 + j**3)*(-j + 3*j - j) - 2*j**4 + 3*j**4 - 3*j**4 + j**4 - 2*j + 2*j + (-j**4 - 3*j**3 + 3*j**3)*(-4 + 3 - 1).\nAnswer: 2*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t - 4*t = 4*r - 70, r + t = 25. Suppose -3*z - 31 = r. Let n be 1\/6 - z\/6. Solve 3 + n = -3*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggggg. Give prob of sequence ggg.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 137216806 - 101*b - 92*b + 72*b - 137216806.\nAnswer: -121*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -2133 to the nearest 100.\nAnswer: -2100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -118*a**3. Let k be f(-1). Suppose 4*m - 346 = -k. List the prime factors of m.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the third derivative of 0 + 0*o + 1\/6*o**4 + 2*o**2 + 0*o**3 + 1\/12*o**5. What is the second derivative of u(x) wrt x?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -5, 1.08, 3\/7?\nAnswer: 1.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 100571.3 + -0.1.\nAnswer: 100571.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-x**2 + 2*x**2 - 2*x**2)*(-1 + 1 - 9)*(2 + 3 - 7) in the form a*x + l + h*x**2 and give h.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 15\/(-9)*(-9)\/3. Suppose -2*r + 0*r - 8 = -2*v, 4*v + r = 6. Let g(a) = -5 + 2 + 3*a + 8*a**3 + 8*a**2 - a**2 - 2*a**v - 9*a**3. What is g(i)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2759995667?\nAnswer: 11, 13, 151, 127819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s - 8. Suppose 2*p = 3*z + 5*p + 27, -36 = 4*z + p. Determine h(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g**(-1\/3)\/g*g*g)\/g*g**(-4\/3))\/(g**(-2\/5)\/g)**(-38))**(-1\/59) assuming g is positive.\nAnswer: g**(808\/885)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 80846 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1912 - 184*x**2 + 1912 + (2*x + 2*x - 3*x)*(-4*x + 6*x - x).\nAnswer: -183*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -3\/7 (b) -5 (c) 0.0942 (d) 0.5 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2068 and 88?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 191093?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 15609 a multiple of 121?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -236*w**4 + 2057*w**4 + 1843*w**4 - w**3 + w**3 + 2*w**4 + (2*w**4 + 3*w**4 - 3*w**4)*(4 - 2 + 0) - 2*w**2 + 2*w**2 - w**4 + 0*w**3 + 0*w**3 - w**4.\nAnswer: 3668*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/4 + 3\/6. Suppose z = -5*h + 57 + 33. What is the remainder when (2 - 1) + 66 + 3 is divided by h?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -183*m**4 + m**2 + 1624 wrt m.\nAnswer: -732*m**3 + 2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n = 6581566*j - 6581561*j + 50, -4*j - 47 = 3*n for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h - 19*o + 14*o = -55, -5*o + 80 = -8*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-99)\/(-15) - (-2)\/5?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 8*m = 25. Let y be (2 + (-21)\/9)*0. Put y, m, -3 in increasing order.\nAnswer: -3, y, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3831 = 3*v + 354. What is the highest common divisor of v and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.4*-6207\nAnswer: 14896.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes before 6:59 AM?\nAnswer: 11:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7\/5? (a) -0.5 (b) -1\/17 (c) -2 (d) -0.02 (e) -0.044\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 27*f - 130. Let l be o(5). Let s(n) = -n**3 + 4*n**2 + 8*n - 12. Determine s(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve v = 5*d - 12, -4*v + d + 243 = 253 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -3*h. Let j(r) = -1014*r**2 - r. Calculate x(j(k)).\nAnswer: 3042*k**2 + 3*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 10949 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.5 - 2.5. Let y = -0.11 + 1.17. Let l = -0.66 + y. Which is the second biggest value? (a) 0 (b) k (c) l (d) -3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 234*d**4\/7 - 790234*d**3\/7 - 1527348*d**2\/7 + 135144*d\/7 + 54064\/7 = 0?\nAnswer: -2, -2\/13, 2\/9, 3379","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 100 is divided by 39.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**2 - 26*y + 12. Determine i(0).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -60638*l + 84635 wrt l?\nAnswer: -60638","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + (-6 + 5 - 9 - (26 - 40)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**3 - 43*d**2 - 44*d - 51. What is n(-42)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 4 + 0)*(4 - 1 - 1)*(l**3 + 7*l**3 - 3*l**3) as c*l**2 + d + v*l**3 + o*l and give v.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 677811*k**2. Let g(s) = 4*s**2. Calculate g(i(d)).\nAnswer: 1837711006884*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 + 6. Let i be (2 - -3*s) + -3. Suppose h - 13 = -q, -i*q + 34 = -2*q + 4*h. What is the highest common divisor of q and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 2*r + 2. Let v be z(-2). Let a = -1285 + 1286. Sort v, a, 6, 0.05 in descending order.\nAnswer: 6, a, 0.05, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 minus 20110162499?\nAnswer: -20110162498.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 55.2164735 to one dp.\nAnswer: 55.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 7 - (13 + (-7 - -7))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 4, 0.016, -1, 5\/3, -2\/11?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 990556?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104 = 8*i - 0*i. Suppose -i*s + 88 = -523. Calculate the remainder when s is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21 - -2 - -16) + 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-40)\/(-600)*20*(-15)\/(-80).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 270, 3, 298 in descending order.\nAnswer: 298, 270, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the second derivative of 0*l**3 + 0*l**2 + 1\/140*l**5 + 25\/84*l**4 + 0 - 90*l. Determine q, given that i(q) = 0.\nAnswer: -25, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 39835 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 4*x = 1944, 3900 = -2*k - x + 5*x. What is the units digit of ((-7)\/3 + 1)*k\/8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 2*d**2 + 16*d + 7. Let k(h) = -3*h**2 - 24*h - 11. Let i(z) = -5*k(z) - 8*p(z). Suppose 23*a + 289 = 82. What is i(a)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 + 2*n)*(-5 + 3 + 3)*(102*n**2 - 145*n**2 - 116*n**2) as r + h*n + j*n**3 + w*n**2 and give j.\nAnswer: -318","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gbbyodobbodoogobob. Give prob of sequence yod.\nAnswer: 7\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 313 + -291 + (4 - 46)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13 + -23323210?\nAnswer: -23323223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -27\/4 - -131\/20. Let y = 48581.05 - 48581. Put f, y, -10 in decreasing order.\nAnswer: y, f, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9937?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 16*(105\/10)\/(-21)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - 5*a = 704 - 729, 15 = 4*p + 3*a for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 251, 213, 175?\n\"Answer: -38*m + 289","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-34 - -110 - 76) + 38\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -45\/416 and 77\/29090.\nAnswer: 6050720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the first derivative of -s**2\/2 - 105. Let i(b) = 5*b**3 + 2*b**2 + 3*b - 1. Give -i(r) - 3*p(r).\nAnswer: -5*r**3 - 2*r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes after 3:16 PM?\nAnswer: 1:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -8*s + 4. Let d(k) = 7*k - 3. Let q(b) = -b**3 + 26*b + 9. Let h be q(-5). Suppose 1 = -0*l - l. Let i be (-4 - l)*(-3)\/3. Determine h*d(c) + i*x(c).\nAnswer: 4*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-1*(sqrt(99) - 4*1*sqrt(99)) + -3))**2 + -2.\nAnswer: -54*sqrt(11) + 898","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 11 + 1 + 5 - 6 + 2 + (2 + 1 - 1)*(-2 + 0 - 3))*(21*t - 21*t - 47*t**4).\nAnswer: 564*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 338163519?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 126336325 divided by -25\nAnswer: -5053453","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13 + 37. What is the common denominator of -53\/2 and g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-60 - -45) + (0 - -4 - 3)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 15 - ((-4)\/(-16))\/(1\/12). Solve -12 - r = -4*z + 2*x, -2*x = -z + 9 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1674\/21 + 1*2\/7?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 3*g = 2*g - 9, -4*q - 5*g = 12. Let l = q - -10. Solve -10*d + 15 = -l*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-5*(-2*(-5 + sqrt(171) + 0) + -3)*-1)**2 + 1.\nAnswer: -8400*sqrt(19) + 73301","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -179, -218, -193, -4 in decreasing order.\nAnswer: -4, -179, -193, -218","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1092 + -460. Differentiate -128*p + 303 + 300 - q with respect to p.\nAnswer: -128","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.019 - 5.381. Let t = k + 0.4. Let i = t - -4.8. What is the second biggest value in 2, -5, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**3 - 11*a**2 + 18*a - 7. Let i be l(-13). Suppose 3*m - 6*y = -4*y + 67, i = 4*m + 5*y. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1351.705ug to milligrams.\nAnswer: 1.351705","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4, 0.1, -4.1 in ascending order.\nAnswer: -4.1, 0.1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -15*f**2. Let p be (-192)\/(-90) - (-4)\/(-30). Let v(t) = -13*t**p - 17*t**2 - 19*t**2 + 55*t**2. Give w(v(n)).\nAnswer: -540*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3055675764?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 - (0 + -10 - (41 - (68 - 5)))?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 2*b**5\/11 - 16*b**3\/11 - 12*b**2\/11 + 14*b\/11 + 12\/11 = 0.\nAnswer: -2, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(102)*-5)\/(sqrt(48)*-5))\/((sqrt(18) + (sqrt(18) - (sqrt(18) + 2*sqrt(18))*-6) - sqrt(18) - sqrt(18)) + sqrt(36)\/sqrt(2)*5).\nAnswer: -sqrt(17)\/138","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Is 211277 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from {d: 5, f: 9}?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 401? (a) -84\/25 (b) -0.2 (c) -1\/9 (d) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-2)\/(-1))\/(-4))\/(((-57)\/((-4674)\/(-451)))\/869)?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -19*r. Let w(d) = -9*d. Determine w(u(n)).\nAnswer: 171*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -249 or -288.4?\nAnswer: -249","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29951 is divided by 14912.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**3 - 23*w**2 - 35*w + 152. Determine s(-21).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*5*(-2 + sqrt(1008))*-6*4.\nAnswer: -5760*sqrt(7) + 960","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 90 is divided by 89.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 12 = -2*q, 5*q - 6 - 16 = -4*m. Let g be 1 + (-1)\/(4\/m). Suppose -3*n = -2*n + 5. Put 1, g, n in increasing order.\nAnswer: n, g, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -154 - -153.3. Sort 0, 27, t in decreasing order.\nAnswer: 27, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-175)\/(-392)*-4)\/((-670)\/(-1608)).\nAnswer: -30\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -2*k**3 + k**2 - 2*k. Let p(b) = 12*b**3 - 30*b**2 + 6*b. Give -p(i) - 3*s(i).\nAnswer: -6*i**3 + 27*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/4 (b) -376\/3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -123 - -116.84. Let s = j - 53.44. Let f = s - -60. Which is the closest to -1? (a) f (b) 1\/2 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(2\/17)\/(n\/n**(1\/2))*n**(1\/6)*n\/n**1)\/(n*n\/(n*n**(-2)*n*n*n)*n*n*(n**(1\/10)*n*n)\/n*(n**(-3)\/n)\/(n\/(n*n**(-4)))) assuming n is positive.\nAnswer: n**(2389\/510)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 5, -5, 69?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.38 - -0.08. What is the smallest value in s, -0.6, 1?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**3 - 534*f**2 - 984*f + 12672.\nAnswer: -3*(f - 4)*(f + 6)*(f + 176)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -268 + 10986*t**3 - 5509*t**3 - 5476*t**3.\nAnswer: t**3 - 268","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 299085445.\nAnswer: 5, 23, 131, 19853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 234\nAnswer: 1\/234","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 223 (base 4) to base 15.\nAnswer: 2d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 2*p = 2474616, 3*p - 201999 = -2*d + 2272632. Let u = 2236598 - d. Let l = u + -389287. Round l to the nearest 100000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 0.2, -3\/2, 0.1?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -h + 19, 161*x - 166*x + 83 = -h. Which is the nearest to x? (a) 3 (b) -5 (c) -1 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 2*h. Let b = -13 + 105\/8. Let j(i) be the third derivative of 0*i - b*i**4 + 0*i**3 - i**2 + 0. Give m(j(q)).\nAnswer: -6*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2667, -5282, -7897, -10512, -13127, -15742?\n\"Answer: -2615*r - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 104482?\nAnswer: 2, 7, 17, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27913.\nAnswer: 103, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**3 - 2*u**2 + 11*u + 3. Calculate the remainder when 88 is divided by t(-5).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from jdaewba?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15086536?\nAnswer: 2, 59, 31963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 46 + -46. Which is smaller: -1\/6 or f?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 134.994 + 1.606. What is l rounded to the nearest one hundred?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 987.7578 decades in centuries?\nAnswer: 98.77578","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1.372453 * 0.21\nAnswer: -0.28821513","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*q - 5*t = 10*q - 114, 10*t - 15 = q + 2*t for q.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -125 (base 8) to base 5\nAnswer: -320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -643 + 642.483. Let q = b - -0.51. Let v = -0.006941 - q. Round v to 5 decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 808 < 12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 100011100101101010110 (base 2) to base 15\nAnswer: 1807e6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -2 + 0 - 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 + -6. Let r(l) = -l**2 - 10*l - 10. Let b be r(k). Suppose 38 = 257*x - 116*x - 122*x. Solve -w - b = 3*n - 0*n, -x*w = -3*n + 4 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -5*b - 2. Suppose -5 = k - 3*p, -8*k - b*p = -4*k + 20. Let j(m) = 7*m + 20. Let a(i) = 10*i + 29. Let g(w) = 5*a(w) - 7*j(w). What is g(k)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5340.747mm in micrometers?\nAnswer: 5340747","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 2*n**2. Let l(r) = -r - 16. Let k be l(-11). Let s be 66\/30 + 1\/k. Let x(d) = d**s + d**2 - d**2 - 4*d**2. Determine h(x(z)).\nAnswer: 18*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1269086*n**3*p + 1526736*n**3 with respect to p.\nAnswer: 1269086*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 8, y: 3}. What is prob of picking 3 f and 1 y?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10106689.4 + 33331.\nAnswer: -10073358.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 168 and 32949?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -21 + 213. Let l be (-12)\/48*(t + (2 - 1)). Let x = 48 + l. Put -0.3, x, -1\/3, 5 in descending order.\nAnswer: 5, x, -0.3, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7812 and 105252?\nAnswer: 9788436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0015079 to five dps.\nAnswer: 0.00151","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**3\/19 - 74*c**2\/19 + 236*c\/19 - 160\/19.\nAnswer: -2*(c - 2)*(c - 1)*(c + 40)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qbtebeqbqbq. What is prob of sequence tee?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -21*d. Let k be y(-3). Calculate the highest common factor of 7 and k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2120584?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 76\/48 - 1\/4. Suppose -3*q - 8 = -7*q. Suppose 5*s - 2*j + 5 - 15 = 0, -j + q = s. Is b at least as big as s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 - 18. Let c be q\/(1*4\/(-2800000)). What is c rounded to the nearest one million?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 887 divided by -10.\nAnswer: -887\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -303708, -607408, -911108, -1214808, -1518508?\n\"Answer: -303700*w - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15420715 - -15420718.1998814. Let c = t + -3.2. What is c rounded to six dps?\nAnswer: -0.000119","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -183 - -271. Solve 85*l - n*l = 15 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**2 + 5*z - 7. Suppose -2*u + 3*u + 2 = 0. Let a(y) = y**2 + 2*y - 3. Let v(g) = u*r(g) + 5*a(g). What is the derivative of v(x) wrt x?\nAnswer: 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 4*y - 8. Let p be b(2). List the prime factors of 80 - (p + (1 + 3)\/(-4)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 2442?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -1455065 less than or equal to -1455065?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 minutes before 1:59 PM?\nAnswer: 1:46 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 3388 = -909. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -61186 and -61189 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1984*s - 2*s**2 + 3*s**2 + 1979*s - 4 + 4.\nAnswer: s**2 - 5*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 49.199 + 0.701. Let m = -50 + x. What is the nearest to m in 1\/6, 5, -4?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17561*s + s**2 - 35133*s + 33 + 17572*s - 33.\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1032031 (base 4) to base 10\nAnswer: -5005","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 108*d**3 - 3 - 114*d**3 + 0 to the form y*d**2 + k*d + h + x*d**3 and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j - 1. Let r(s) = -30*s + 3 + 15 + 9*s. Let o = -199 + 181. Give o*h(g) - r(g).\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 497 is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.03176 micrograms in nanograms?\nAnswer: 6031.76","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**3*j*j\/(j*j\/(j*j**(-17))))**(6\/7) assuming j is positive.\nAnswer: j**(-78\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-4))\/((-18)\/(-12))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n**2 - n + 0*n**2 + 0*n**2)*(254*n + 136*n - 96*n).\nAnswer: 294*n**3 - 294*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 840 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/4 + 4\/(-112). Let f = 221.96 + -224. Let m = -2.54 - f. Which is the third biggest value? (a) l (b) 0 (c) m (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -61, -90, -117, -142, -165, -186, -205?\n\"Answer: j**2 - 32*j - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74355606 is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12900?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 986 - 451. Let s = -275 + b. Is s a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13 - -8. Let f be (2 + -1)*-1*h. Suppose f*j + 0*j - 2 = 2*g, 4*g - 16 = 0. Solve -3 + j = -n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (732\/16)\/(6\/16). Suppose p + 4 - q = 0. Let g = p - 82. Calculate the greatest common divisor of 6 and g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 36010017 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 68803 divided by -2078?\nAnswer: -68803\/2078","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 4) in base 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -6 and 0.2625?\nAnswer: -1.575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 267, 535, 803, 1071?\n\"Answer: 268*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 323237, 323235, 323233?\nAnswer: 323231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 124 divide 68448?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -21 - 48. Let u = 74 + i. Solve 5*r + u*q - 13 = -3, 0 = r - q - 2 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -6*a**2 - 2*a. Let j(d) = -272 + 2*d + 272. Give y(j(z)).\nAnswer: -24*z**2 - 4*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -3*k**3 - 88*k**2 - 31*k - 58. Let m be x(-29). Let t(v) be the third derivative of v**6\/120 - 2*v**2. Determine t(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-35)*540\/81.\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-5))**(-3)*y**(-4\/13)\/(y*y**(-1\/8)*y*y))**(-10) assuming y is positive.\nAnswer: y**(-6145\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - ((2 - -1) + -9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (315\/6)\/(-5)*(-444)\/(-1554)*-15.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/529636 and 5\/12.\nAnswer: 1588908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.37 less than 15.81?\nAnswer: 15.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 106 divided by -16.\nAnswer: -53\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 28.6 - 14\nAnswer: 14.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xqxxqjqxj. Give prob of picking 3 q and 1 j.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 1 o when three letters picked without replacement from momoooooowwoooo?\nAnswer: 11\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5709.3 weeks to microseconds.\nAnswer: 3452984640000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 70188756?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 63636042 to the power of 1\/5, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -44*(-29)\/(3828\/(-72))\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -2*p + 3 - 49, 0 = 2*m - p - 29. Suppose 8*b + 36 = m*b. Calculate the remainder when 22 is divided by b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2843535113.9997788 - 2843534402. Let h = v + -712. Round h to 5 decimal places.\nAnswer: -0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5995512 to the nearest integer?\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -4*o + 123. Let i be 66*(-5 - 140\/(-15)). Suppose 9*n = 22*n - i. Calculate the remainder when o is divided by n.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**2 - l - 429. Let t be d(22). Solve 4*m - t = -7*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ql when two letters picked without replacement from {f: 2, b: 1, q: 3, p: 1, w: 1, l: 3}?\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33 = 3*s + 3*i, -9 = 4*s + 9*i - 12*i for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.4, -8, -4, 2, -0.04, 0.136157?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -6*i - 139. Let n be s(21). Let o = 289 + n. What is the highest common divisor of o and 216?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3309.999997062 + -3310. Round v to 6 dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 + 4b8?\nAnswer: 4bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 264*i**2 - 1044*i - 1045. What is w(-1)?\nAnswer: 263","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 15258613 rounded to the nearest 1000000?\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 55142*q**2 - 2*q + 60013.\nAnswer: 110284*q - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 28 = -4*m + 7*m, -5*m - 48 = 2*z. Let f(k) = -k**3 - 7*k**2 + 23*k + 23. What is the smallest common multiple of f(m) and 6?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 3*n = 2*q + 3, 3*q = -2*n - 3. Which is bigger: q or -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0, 68, 1, -1 in increasing order.\nAnswer: -1, 0, 1, 3, 68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 295\/297?\nAnswer: 295\/297","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 388416 is divided by 244?\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/5 (b) -1.1 (c) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 130784293 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 25 = -3*y, 4*g + 0*y = -4*y - 28. Which is the smallest value? (a) 0.5 (b) 2.4 (c) g (d) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the first derivative of m**4\/4 + 7*m**3\/3 - 3*m**2 + 3*m - 731. What is b(-8)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -88\/32805 and -26\/651.\nAnswer: 7118685","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/15 of a minute in seconds?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 19 and 90497?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5735 + -1187?\nAnswer: -7033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -1430\/6257 >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + -10 + -5 + -6 + 12?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -69\/70 and -65\/294.\nAnswer: 1470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 2)*(-o + o - 2*o**3)*(1 - 1 + 2*o).\nAnswer: 4*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, -463, 4?\nAnswer: -463","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 306083 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -0.323, -3\/2, 0.143, 2\/27 in increasing order.\nAnswer: -3\/2, -0.323, 2\/27, 0.143, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/2, 596, -0.5, 2\/13?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j - 2*j = o - 18, -2*j = 8. Let n be (9\/(-9))\/(o\/(-5))*2. Solve -4*b - 3*y = -18, -5*y = -2*b + n*b - 19 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77.7865 rounded to the nearest ten?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 + 74)\/1 - (3 - 0). What are the prime factors of ((-18)\/p)\/(2\/752*-2)?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38494902?\nAnswer: 2, 3, 17, 83, 4547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1258*h**3*z**3 + 1230*h**3*z + 2*h**3 + 4523416*h**2*z**3 - h**2 wrt h.\nAnswer: 7548*z**3 + 7380*z + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 417 + -1447. Let m = r - -2117\/2. Calculate the common denominator of 33\/4 and m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 81 (b) 9 (c) -12 (d) 4 (e) 1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*((w\/(w\/(w\/(w*w**(-2\/7)))))\/w)\/w)**(-29) assuming w is positive.\nAnswer: w**(145\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120*t - 90*t = 2490. What is the remainder when 399 is divided by t?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 75*c**3\/8 - 44385*c**2\/2 - 35517*c\/2 - 3552 = 0. What is c?\nAnswer: -2\/5, 2368","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -163\/180 and 117\/200.\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -61810 (b) -1 (c) 5 (d) 2 (e) 0 (f) -7 (g) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68*q - 1961 - 1902 = 2053. Is q a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2780031467 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (120\/(-990))\/(4\/138)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 3*p + 6 = 0, 0 = -5*a + 3*a - p + 10. List the prime factors of (-1 + 3)\/(a\/42).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 159558 divided by -1218.\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1802, 3881, 5974, 8087, 10226?\n\"Answer: y**3 + y**2 + 2069*y - 269","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 5, t: 5, o: 3}. Give prob of sequence vo.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t - 18 = 4*i, 19*t + 5 = 24*t for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -34418\/11 + 3131. Find the common denominator of 5 and d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2421029503 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-27)\/(-15)*3 - (-12)\/(-30). Find the third derivative of -63*j**f + 7*j + 7*j**2 + 7*j**4 + 66*j**5 + 8*j**4 wrt j.\nAnswer: 180*j**2 + 360*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the first derivative of i**6\/3 + 2*i**5\/5 - 11*i**4\/2 - 58*i**3\/3 - 26*i**2 - 16*i - 410. Let o(p) = 0. What is p?\nAnswer: -2, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 299484?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -91*c + 88*c - 3*f + 12, 3*c + 8 = 2*f for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 77*w**2 + 12 - 12 - 14*w**2 + 43*w**2. Let i(a) = a + 2 - 2. What is i(x(u))?\nAnswer: 106*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -159 - -153. Is (-16866)\/(-12) + 3\/n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17b55a (base 14) to base 15.\nAnswer: 118455","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -1781.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 42662 and 498?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 + -8. Let l = 210.554 + -0.054. Let f = 211 - l. Which is the third biggest value? (a) -0.2 (b) f (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6790 and 46851.\nAnswer: 468510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7845?\nAnswer: 3, 5, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 653094659?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrr when three letters picked without replacement from adyryrrr.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 478 (b) 3 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*l + 13*l. Suppose 0*x - 3*x + 61 = 5*j, j + 3*x - 5 = l. Let m = j - 10. Is 3 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*n**4 - 15*n**3 + 13*n + 89011 wrt n?\nAnswer: 8*n**3 - 45*n**2 + 13","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -16\/63 and 5\/39640111?\nAnswer: 356760999","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8.875 - -19.18. What is l rounded to 0 decimal places?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**1*s*s)**(-11\/6)\/(s**(-2))**(-47) assuming s is positive.\nAnswer: s**(-304\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 318*35\/(-1050)*20\/4 - 9?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 12.9 - 6370645.8\nAnswer: -6370632.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 856 and 3531.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 51425 and 4840?\nAnswer: 605","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 103 = 10*p - 12*p, r + 1 = 0. Suppose 0 = 2*l + 3*l - 3*u - 8, -2*l + 3*u + 5 = 0. Suppose 0*j - l = j. Is j at most as big as p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x + 5*x. Suppose x = -l + 1 + 3. What is the third biggest value in -3\/5, l, 1?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0386614 rounded to 3 decimal places?\nAnswer: 0.039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -751 = 187*v - 751 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/8, 5\/7, 1\/2 in ascending order.\nAnswer: -1\/8, 1\/2, 5\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 90567?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -105 + -274. Let u = -377 - a. Sort 3, u, -3, -2 in increasing order.\nAnswer: -3, -2, u, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.4 - -1.6. Let y = w - 2.3. Which is the third biggest value? (a) 0.5 (b) -0.1 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -56*u - 29. Let a be z(-4). Let q = a - 553\/3. Suppose 4\/3*k**2 - q*k + 64\/3 = 0. Calculate k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:51 PM and 12:36 AM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*k + 12. Is k\/(1 - 2) - (1 + -821) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, i: 2, b: 1, m: 2, e: 1}. What is prob of sequence eb?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8640 and 4500?\nAnswer: 216000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, t: 5, f: 7}. Give prob of sequence gf.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*v**3 - 4 - 2*v**4 - 3*v**4 - 4*v**3 + 6*v**4 as y*v**2 + b*v**4 + t*v + z*v**3 + a and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 624\/(-1404) + 1 + -1\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-three thirds of a minute in seconds?\nAnswer: 1460","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*g - 2*g - 4*g + 4 to the form n*g + h and give h.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(171)\/(sqrt(9) + (sqrt(54)\/sqrt(6) - sqrt(9))).\nAnswer: sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 19765778*x**4 - 27135131*x wrt x.\nAnswer: 237189336*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in three fifths of a milligram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 - 127473e?\nAnswer: -1274740","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g - 397*u - 20 = -399*u, -4*u = 4*g - 68 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -57, -75, -99, -135, -189, -267, -375, -519?\n\"Answer: -n**3 + 3*n**2 - 20*n - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 15\/(-25) + (12963\/5 - (-8 + 8)). What is the highest common divisor of 36 and f?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1894036 is divided by 189395?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**3 + 12*w**2 + 22*w + 26. Calculate c(-9).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes after 6:59 AM?\nAnswer: 7:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -10*g + 2. What is v(-2)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84*y - 87*y = 12. Suppose -4*b + 5*x = 37, 11 = 2*b + 4*x - 3. What is the second smallest value in b, 0.02, 4, y?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 3*w + 1. Let c be l(1). Let j(s) = s**2 - 3*s - 4. Let x be j(c). Solve 5*t - 20 = x, -3*q - 4*t = q - 16 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*i**2 - 2*i**2 - 2*i**2 + (0*i + 5*i - 4*i)*(-11 + 11 - 9*i) - 2*i**2 + 1 - 1 + 1 + 1 + 2*i**2 - 4.\nAnswer: -11*i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence muuf when four letters picked without replacement from muuufomumomommoomu.\nAnswer: 7\/3672","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -28716936102 minus -7430?\nAnswer: -28716928672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 21*m**4 + 1631*m**2 - 1631*m**2 - 27*m wrt m.\nAnswer: 252*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 69 + -65. Calculate the greatest common factor of w and 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 2505?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 0.1 (b) -0.09 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 5*o**2 - 10*o + 21. Suppose 4*x - 4*r = 0, 0 = 2*x - 7*x - 3*r - 16. Let q(p) = p**2 - 2*p + 4. Determine x*m(b) + 11*q(b).\nAnswer: b**2 - 2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -6157548\/151 smaller than -40777?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -130.26? (a) -11 (b) -1 (c) 1\/2 (d) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 38 and 7334?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -0.02 (b) -5\/2 (c) -0.384 (d) -4 (e) 2\/11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -29 - -31. Solve -u*l - 3 = -l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**2 - 8*h + 10. Let s be r(9). Solve y = -5*v + s, 4*y - v = v - 12 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96\/(-80)*-2*10*(-184)\/(-46)?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1145 + 311. Let u be -2 + 28\/20 - m\/15. What is the greatest common divisor of 11 and u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 4*m = -18, 2*m + 4 = -3*y - 9. Let s be ((-6)\/y)\/2 + 2. Let g = -201 - -201. Solve c = -g*c - 2, -s*f = c + 12 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -14225*q**3 + 26*q**2 + 6189457*q wrt q.\nAnswer: -85350*q + 52","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21778256?\nAnswer: 2, 19, 71, 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 79730949 a multiple of 496?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes before 4:20 PM?\nAnswer: 5:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes after 1:57 PM?\nAnswer: 12:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11021 (base 3) to base 5.\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 16 = 26*k - 28*k, 0 = -k - a + 2. Let p(v) be the second derivative of -v**4\/12 + v**3 - 5*v**2\/2 + 2*v. Give p(k).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 31601 + -31603. What is the closest to 1324 in v, -0.5, -5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/(-21)*6\/1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/5? (a) -97\/3 (b) -2 (c) -0.1 (d) 6\/37\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - ((2 - (7 + -12) - -2) + -9 - -73)?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in ten sevenths of a week?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2439, 4892, 7355, 9834, 12335, 14864, 17427, 20030?\nAnswer: 22679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 152 - 666*i**2 + 148 - 457 - 2*i + i + 156.\nAnswer: -666*i**2 - i - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -16.4991 to zero decimal places.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 + 1. Let n(i) = -i**2 - 5*i. Let y be n(f). Solve 3*b = -t + 9, 0 = y*t + 12 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6\/17 in -133, 45, 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -49 + 218. Let j = x - 112. Let d = 56.99999973 - j. Round d to 7 decimal places.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16521, 32999, 49463, 65907, 82325, 98711, 115059?\nAnswer: 131363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 221602839, 221602840, 221602841, 221602842?\nAnswer: 221602843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.01 + -4.01. Put -1, 0.06, f in decreasing order.\nAnswer: 0.06, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7.31675, 1\/5, 2, 7 in descending order.\nAnswer: 7.31675, 7, 2, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4adac (base 15) in base 7?\nAnswer: 2014530","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 12 = -3*v + 3*j, 8 = 2*j. Suppose v*y = 3*y. Solve 0 = 4*i + 8 - y for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 217377, 220828, 224281, 227736, 231193, 234652, 238113?\n\"Answer: t**2 + 3448*t + 213928","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*s**2 - 5*s**2 + 17*s**2)*(0 - 1 + 0) + (12*s - 8*s + 30*s)*(1 - s - 1) in the form b*s**2 + h*s + r and give b.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 45 - 41. What is the fourth smallest value in i, 2\/3, -5, -3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 6*j + 3*s, -s - 37 + 25 = -5*j. Solve -5*w - 12 = r - 5*r, r - 2*w = j for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 149 - 103. Let c = 75 - j. Suppose -o + 63 = c. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 875.4 and 8385691375.\nAnswer: 8385692250.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 56\/(-630)*30\/12.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - g + 681 = -5*g, -4*l = -3*g - 908. Let m(a) = a**3 + 227. Let t be m(0). Is t at least as big as l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 11*a**2 - 27*a + 10. Let h(f) = 5*f**2 - 14*f + 5. Let n(b) = -9*h(b) + 4*u(b). What are the prime factors of n(10)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*d = -849 + 219. Is ((-108)\/(-21))\/(5\/d) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from {k: 1, c: 12, a: 3}.\nAnswer: 11\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1, -6, 4, 0.2, -136 in decreasing order.\nAnswer: 4, 0.2, -1, -2, -6, -136","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2210 in 1.7, -5, 0.2?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/2, 0.2, 4, -2, -52\/7, -4\/9, -5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (10\/4)\/((-1)\/(-12)). Suppose -2*b - w = -4*b. Let g = 34 + -19. Is b >= g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 155155 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 16698 divided by 22?\nAnswer: 759","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(42)\/(-1*sqrt(6)*5)*-3)**2 + 4.\nAnswer: 163\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -15356564 (base 7) to base 16\nAnswer: -1687d3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 42, 87, 134, 183, 234, 287, 342?\n\"Answer: a**2 + 42*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 3*v = 6. Let c = -203 + 218. Calculate the greatest common divisor of c and v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-4))\/(-1)*(2225 - 2331).\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h when three letters picked without replacement from {z: 1, j: 1, p: 4, q: 1, w: 1, h: 4}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 9 + 4 = 0. Let v be 0\/(4\/2 - (-19 + 19)). Let p = q + v. What is the least common multiple of 1 and p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-3 + 5 - 1)*(6*f - 3*f - 2*f) + 1 - 1 + f)*(57 + 118 - 235) in the form u + i*f and give i.\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 3*s - 1. Let a be w(1). Factor 466 - 103 + 3*d**a + 43*d + 23*d.\nAnswer: 3*(d + 11)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9 and 169524.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65499564.\nAnswer: 2, 3, 13, 293, 1433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 1. Let h(l) = -2*l + 15. Let s(o) = o**2 + 61*o - 332. Let v be s(5). Give v*z(u) - h(u).\nAnswer: 2*u - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*s**2 + 19*s**2 - 10*s**2 - 7*s)*(-3 + 3 - 3*s**3).\nAnswer: -6*s**5 + 21*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.6 in 4, 2\/969, -10\/13?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2536274 - -1261640. Suppose 1005491 = 5*w - u. Let b = w + -200681. Round b to the nearest 100000.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**2\/3 + 170512*y + 10902878304.\nAnswer: 2*(y + 127884)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -3*s**3\/2 + 13116*s**2 - 261870*s + 1308600 = 0.\nAnswer: 10, 8724","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -2*r - 26. Let l be d(-15). Let a(g) = 2*g**3 - 2*g**3 + g**2 - 2*g**3 - g**3. Let i be a(-1). Solve -3*o - b = b - l, -5*b = i*o - 3 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -9 - 11. Sort k, -9, -3 in decreasing order.\nAnswer: k, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**3 + 18*n**2 - 18*n + 21. Let x be r(17). Suppose 5*v - x = -29. Which is the third smallest value? (a) 0.3 (b) v (c) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 4530288, 9060475, 13590660, 18120843, 22651024?\n\"Answer: -l**2 + 4530190*l + 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/3, -18, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*((sqrt(91) + sqrt(91)*-4 + sqrt(91))*5 - -4*(sqrt(91) - -1*sqrt(91)))\/(3*(sqrt(77)*1*-2)\/sqrt(11)))**2.\nAnswer: 325\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -212 - k + 327*k**2 - 159 + 49 + k wrt k.\nAnswer: 654*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8731654?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1499 and 0.02.\nAnswer: -29.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes after 9:51 PM?\nAnswer: 3:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-19 + 8)\/((-2)\/2). Suppose -4*h - 126 = -2*m, 4*h = 3*h + 3*m - 29. Let r be ((-88)\/h)\/(2\/56). What is the highest common factor of r and t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 5, -379, -5, 4, 512.\nAnswer: -379, -5, -1, 4, 5, 512","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.59 - -0.58999954. What is v rounded to seven decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:19 AM and 11:24 AM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*f**3 - 258 + 258.\nAnswer: -3*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 31867?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x + 4*i - 336, 2*x + 0*i - 4*i = 162. Let b = x + -74. Factor -201*z**2 - 7*z + 204*z**2 + 22*z - 3*z**3 + b.\nAnswer: -3*(z - 3)*(z + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11\/(-3)*(-4844)\/13321\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/(18\/39) + (-2 - 1). What is the greatest common factor of 30 and x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 + 0)*(-8 + 3 - 27 - 2 - 1 + 5 + (-2 + 1 + 0)*(0 + 4 - 5) - 3 + 3 - 2)*(-g + 2*g**2 + g + (g - g - 2*g)*(-3*g + g + 4*g)).\nAnswer: 124*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 2*c + 9. Let r be s(-4). Let m(v) = 9*v**2 - 1. Let w be m(r). Let x be (-5)\/(20\/w) + 3. Solve -x - 2 = 3*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xhxihixxfsxxgfhhixix. Give prob of sequence igss.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -39739*z**2 + 38304 wrt z.\nAnswer: -79478*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 4*l + 9 = -5*t, 0 = -5*t. Let o be 1\/(-21)*-7 + 19\/l. Is -6 greater than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 2*g = -5 + 15, -5*g + 2 = -b. Let i = -3109\/30 + 494\/5. Find the common denominator of i and b\/(16\/61)*-1.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -3, -3*i - 18 = 3*v - 8*v. Suppose -18*u - v = -21*u. Solve -4*f - k = -u, -16 = -3*f + 3*k - 4 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from {r: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1749.\nAnswer: 3, 11, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 124 = 6*s - 2*s. Suppose -3*a = -2 - s. Suppose -5*z + 40 = -5. What is the smallest common multiple of z and a?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 367477861 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0*(-4)\/(-16) + 21. Is (-3)\/(-2)*2954\/j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(39)\/sqrt(3) - sqrt(13))**2 + 5 + -3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -3175964 greater than -3176129?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 732, -3, 0 in descending order.\nAnswer: 732, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve w = -2*d + 6, 2*d - 957*w + 960*w - 6 = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1334511 + -11?\nAnswer: 1334500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c + 17*c = 18. Suppose 4*v - 3*v + 3*f = 15, 0 = -v + f + 7. Solve 5*y = -10, 4*h + v = -h - c*y for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -1702*p + 253. Let l(k) = -27*k + 4. Let a(b) = 4*h(b) - 253*l(b). Let i(f) be the second derivative of f**3\/3 - 82*f. Determine i(a(u)).\nAnswer: 46*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -158 in -4, -1\/8, 0, -3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*p**3 + 2*p**3 + 3*p**3 + (-328 + 328 + 70*p)*(-3*p**2 - p**2 + 3*p**2) as j*p**3 + o*p + m + r*p**2 and give j.\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 57261417 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 149954?\nAnswer: 2, 7, 10711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 6214 = 61*i - 56*i, 6 = 3*i. Let r = -2307 + 8008. Let v = r + z. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1241 + 1241. Which is the fourth smallest value? (a) -249 (b) -0.5 (c) m (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/58707 or 1?\nAnswer: -2\/58707","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 2201123 (base 4) to base 3\nAnswer: 112011122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 20\/(-3) - 10\/120*-8. Let r(o) = -5*o + 13. Let k(m) = 4*m - 12. Determine c*k(v) - 5*r(v).\nAnswer: v + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 2*f**2 - 8*f. Let q(a) = a**2 - 7*a. Let c(r) = -2*p(r) + 3*q(r). Suppose 12 = 6*m - 2*m. Suppose 4*n = 4*i - 9*i - 15, 3*n = -i - m. Determine c(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 divided by 3549504.\nAnswer: -1\/443688","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**2 + 10*t - 1. Let y be h(10). Let d = y + 1. Suppose d = 3*b - 60 - 108. Calculate the greatest common factor of 8 and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-43458)\/(-2) + 3 + -5 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (70\/(-20) - -1)*(-8)\/10. Let n be (w\/(-6))\/(24\/9 - 3). Solve 0 = 3*s + 2*b + n + 5, 17 = -2*s + 3*b for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a - a = 0. Suppose n = 19 - 5. Suppose a = h - n - 7. What are the prime factors of h?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 16657*u - 1099354. Determine j(66).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 25 + 12\/(-3) + 1. Let r(f) = -9*f**2 + 3*f - 6. Let n(l) = 37*l**2 - 11*l + 23. Let z(c) = t*r(c) + 6*n(c). What is the first derivative of z(x) wrt x?\nAnswer: 48*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74520460073 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 - -4)\/((-1)\/(-1)). Suppose k*f = -2*u + 21, -6*f = -4*f - 2*u. Suppose 0 = f*w - 13 - 35. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 236137324 to the nearest integer?\nAnswer: 618","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, -5 in descending order.\nAnswer: 3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 42 = 310. Suppose -261 = -3*o + 75*w - 78*w, -6*w - 12 = 0. Which is bigger: o or l?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the third derivative of -g**8\/1512 - g**7\/945 + g**6\/270 + g**2 + 4. Solve q(t) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -44 + 49 + (-37 - 5)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11896 + -9275. List the prime factors of m.\nAnswer: 2621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -2*o**2 - 20*o + 36. What is c(0)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put together -4 and 2805.\nAnswer: 2801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3444.37 + -3451. Which is smaller: 0 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 296*v = 293*v + 2*r + 32, r = -2*v + 12 for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + 3991*d + 316 = 4096*d, 4*q + 68 = 24*d for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -2*r**2 - 14*r - 3. Let b be u(-6). Suppose 8 = -5*c + b*c. Is 18 a factor of ((-1)\/((-5)\/(-4)))\/(c\/(-180))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g + 2 - 8. Suppose 0 = -g*o - 0*o - 42. What is the common denominator of 52\/7 and (-7)\/o - 390\/171?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -183816.36135 - -183766.761349342. Let p = 49.6 + f. Round p to seven dps.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the third derivative of y**6\/30 + 3*y**3\/2 - 6*y**2. Differentiate a(f) wrt f.\nAnswer: 12*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 202 divide 59590?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 7 - 6*a**2 + 3*a**2 + 3*a**3 + 9*a**2 - 3. Let b(s) = 5*s**3 + 11*s**2 + 7. Calculate -6*b(f) + 11*q(f).\nAnswer: 3*f**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (2 - 3) + -8 + 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1648 or -0.7?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1624576361 - 2.77913\nAnswer: 1624576358.22087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1133 + 24?\nAnswer: -1104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 12 = -4*b, 5*b + 0*b = 3*o + 1. Suppose 4*j + 1 = p - 5, -5*p - 2*j = -o. What is q in -17 - 8*q**2 + 8*q - 14 + 4*q**p + 27 = 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4498981 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g*g**(-2\/7)\/g)**(-11)*(g**(2\/5))**(-11))**(6\/37) assuming g is positive.\nAnswer: g**(-2574\/1295)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 267750 a multiple of 255?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2013 and 1.92382684.\nAnswer: 2014.92382684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**3 - 11*x**2 - 14*x - 2. Let r be q(-10). Suppose -43*i + 30 = -r*i. What is the greatest common factor of i and 24?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 2*d**2 - 32*d + 71. Suppose 21*f = -146 + 419. Give o(f).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a - 25, -4*f - 2*a = -3*a - 51. Suppose -16*i + f*i = -2620. Suppose -5*u - 5*u = -i. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5.9303 * -0.02\nAnswer: -0.118606","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(2\/9)\/k**(-2)*(k\/(k\/(k\/k**(-3\/10)))*k)\/((k\/(k\/(k*k\/k**(-2\/17)*k)))\/k*k) assuming k is positive.\nAnswer: k**(2149\/1530)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(126)*-3)\/(sqrt(200)*-1).\nAnswer: 9*sqrt(7)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhi when three letters picked without replacement from {i: 5, h: 3}.\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -14*x + 3. Let m(n) = 5*n - 1. Let p(q) = 17*m(q) + 6*t(q). Let o be p(1). Let y be 0 + 1 - (-2)\/o. Let f(w) = 5*w - 2. Give f(y).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 31*s**2 + 23*s - 12. Is 23 a factor of i(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, 1\/2, -5969, 25?\nAnswer: -5969","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 + -3. Suppose q = 3*t + 1 - 4. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1974321 millilitres to litres.\nAnswer: 0.0001974321","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.4, -1943, -5, -0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add together 5470099 and -3053.\nAnswer: 5467046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 3*k**2. Let p = -50 + 53. Let q(d) = 10*d - p*d + 10*d + 17*d. Calculate q(y(x)).\nAnswer: 102*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 502*w**2 - 40*w. Let f(b) = -166*b**2 + 12*b. Let l(d) = 3*c(d) + 10*f(d). Let g(t) = 25*t**2. Calculate g(l(u)).\nAnswer: 592900*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 + -1 - (10 - (-3 + 2 + 14))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -123*k = -106*k + 17 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 16 - -65?\nAnswer: 7b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1952 divided by 911?\nAnswer: 1952\/911","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53 + 125 = 12*z for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12032 (base 4) to base 11.\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 765.\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*l - 5 + 5 = 0. Let b = 2\/439 - 1333\/3512. Let j = 2.05 + -0.05. Put b, j, l in decreasing order.\nAnswer: j, l, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 375385\/3501 + 20\/(-36). Let 250\/3*b**2 + 35\/3*b**3 + x*b - 160 = 0. What is b?\nAnswer: -4, 6\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -387529*l**4 - 436910.\nAnswer: -1550116*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1882430 divided by -376486?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -340 - -264. Let v = 75.9384 + a. What is v rounded to 3 dps?\nAnswer: -0.062","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 123 and 1148.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.10734 + 0.12834. Is -2\/215 at least as big as t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 - 11100111110?\nAnswer: -11101000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-24)\/120 + 6\/5 + 1. Let n(q) be the first derivative of 0*q**2 + 7\/4*q**4 + 0*q + s*q**3 + 3. Find the third derivative of n(b) wrt b.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**2 - 5*s + 4. Let x be g(4). Suppose -6*j + j + 10 = x. Let n(q) = -3*q + 0*q + 0 - 1. Calculate n(j).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15403500 divided by 525.\nAnswer: -29340","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20826 and 179920?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 119*b - 1. Does 19 divide p(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 390, 961, 1870, 3285, 5374, 8305?\nAnswer: 12246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2392802 (base 11) to base 15.\nAnswer: -573151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the second derivative of g**6\/360 - g**4\/12 + g**3\/2 + 2*g. Let d(t) be the second derivative of j(t). Let w be d(2). Solve w*h = -h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 - 2 = 5*k - 3*t - 0, t = -4*k + 3 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 199725\/112 + -12513\/7. Let s(l) = -61*l**3 + 4*l**2 - 4*l + 2. Let v be s(4). Let i = v + 662879\/172. Calculate the common denominator of n and i.\nAnswer: 688","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -10 + 3b37d?\nAnswer: 3b36d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3927 a factor of 652836261?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 + 5. Let i(r) = 1 + j*r**2 - 2 + 1. Let m(b) = -b**2 + 12*b. Let y(o) = -2*o**2 + 10*o. Let v(z) = -5*m(z) + 6*y(z). Give v(i(n)).\nAnswer: -112*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/3 (b) -7116 (c) 3 (d) -0.3 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1171 (b) 1 (c) 0.3 (d) -0.36 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -4065, -16327, -36785, -65439, -102289, -147335?\n\"Answer: -4098*u**2 + 32*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -4745851 divided by 1\nAnswer: -4745851","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 10984210?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w - 10 = 2*v - 4*w, 0 = -4*v - 3*w - 15. Suppose -3*l + v*p + 488 = p, l = 2*p + 158. What are the prime factors of l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 15 = -l. Let j = -1.318 + 0.318. Let k be (6\/(-165))\/(-2) + 16\/88. What is the closest to 0 in k, l, j?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 - 2 - (137 - 51)?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 0*i + 2*i + 3*i**2 - 2*i. Let h be j(-1). Solve h*o = -2*o + 5 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -154*r + 1500956 = -747289 - 74229. What are the prime factors of r?\nAnswer: 3, 11, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*j + 52*j = 609. What is the remainder when j is divided by ((-4)\/(-2) + 8)\/(1\/3)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.06 + -0.06. Let h = 34.9 + -35. What is the nearest to h in -0.1, f, -1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 6, o: 5, y: 3, z: 2, n: 2}. Give prob of picking 2 n, 1 o, and 1 z.\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = -10*z + 18*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1\/4)\/(9\/6). Let q(x) be the second derivative of -l*x**4 + 0*x**2 - 1\/10*x**5 + 0 + 2*x + 0*x**3. What is the third derivative of q(o) wrt o?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000483 to five decimal places.\nAnswer: 0.00048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 600430247 + 0?\nAnswer: 600430247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in twenty-one halves of a meter?\nAnswer: 1050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.081 and 333?\nAnswer: -26.973","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(120)\/sqrt(5)*3)\/(1*sqrt(1152) + sqrt(1152)).\nAnswer: sqrt(3)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1974*b = -2036*b + 930. Calculate the remainder when (-6)\/(3\/(-14) + 0) is divided by b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 412 is divided by 38.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1831 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4583448 - -19338300.\nAnswer: 23921748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 140699531 a multiple of 3386?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + w**3 + 3*w**3 + 26754*w**2 - 26757*w**2 - 2*w**4 in the form i*w + f*w**4 + x*w**2 + h + u*w**3 and give u.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9 and 17706?\nAnswer: 53118","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**2 + 5*y - 2. Let g be u(4). List the prime factors of (553\/14*-3)\/((-1)\/g).\nAnswer: 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4184 = 23*l - 4142. List the prime factors of l.\nAnswer: 2, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*r + 25 + 11 = 0. Let x(p) = -p + 3. Let d be x(2). Which is the nearest to d? (a) r (b) 1\/6 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1522a (base 12) in base 4?\nAnswer: 13100002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the first derivative of 10*m + 0*m**3 - 1\/6*m**6 - 5\/6*m**4 - 6 + 0*m**2 + 3\/4*m**5. Let z(n) be the first derivative of k(n). Factor z(w).\nAnswer: -5*w**2*(w - 2)*(w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -196*g**2 - 192*g**2 + 542*g**2 - 156*g**2 + 281*g.\nAnswer: -2*g**2 + 281*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16 and 46148.\nAnswer: 184592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - -1 - 6 - -6?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 182359488 divided by 45589872.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 82 and 10?\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oevovevoey. What is prob of picking 3 e?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 7*a - 56. Let b = -16 + a. Let n(w) = -4*w - 1. What is n(b)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1031*l**2 - 92800729*l + 92800729*l.\nAnswer: -1031*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -29781*f**2 + 531*f - 50. Let b be p(50). Round b to the nearest one hundred thousand.\nAnswer: -74400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jq when two letters picked without replacement from jqqjjjjq?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3\/2)\/(1\/2). Suppose 295 + 89 = n*d. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 208, 218, 234, 256, 284, 318, 358?\nAnswer: 404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -4 + -2 + (6 - (0 + 1))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 70 = -17*h. Suppose 0 = r - 3*k - 408, 2148 - 148 = 5*r - h*k. Is r a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the second derivative of -3*b**5\/20 - b**4\/6 + b**3\/3 + b**2 + b. Let f be w(-2). Factor -6 + 4*p + 6 - f*p**2.\nAnswer: -2*p*(7*p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 2*k**2 + 4*k + 6. Let z be j(-4). Let v = 2 + z. Is 9 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 10) to base 4.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 116 and 13862.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -57 + ((55\/(-60))\/(968\/(-264)) - (-7)\/4)\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/401, -0.07, -5, 349, -0.5.\nAnswer: -5, -0.5, -0.07, -1\/401, 349","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.17719 from 0.05.\nAnswer: -0.12719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1324*i**3 - 24*i + 2529*i**3 + 27*i + 212 + 1079*i**3 wrt i?\nAnswer: 29592*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5.406 - -0.406. Suppose w - 6*w + 13 = y, 0 = -y - 2*w + 4. Let q be y\/12*(-3)\/(-3). Which is the smallest value? (a) 0 (b) 5 (c) j (d) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + 16 = 5*q, 0 = 24*q - 9*d + 13*d - 16 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in seven quarters of a milligram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f + 5*f + 9 = 3*l, -l + f = -7. Suppose 3*c - l*c = -20. Calculate the remainder when 76 is divided by c.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**5 + 3*m**4 + 18*m**3.\nAnswer: -m**3*(m - 6)*(m + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**4\/11 + 3505*a**3\/11 - 27992*a**2\/11 + 55952*a\/11.\nAnswer: -a*(a - 3497)*(a - 4)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the third derivative of p**7\/105 - 277*p**4\/12 - 241*p**3\/2 - 277*p**2. Differentiate k(y) wrt y.\nAnswer: 8*y**3 - 554","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 80.2 + -0.2. Let d = 47 - k. Sort -2, d, 5.\nAnswer: d, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 425, 3487, 11819, 28055, 54829, 94775, 150527?\n\"Answer: 439*d**3 + d**2 - 14*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000070887 to 7 decimal places.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:28 PM and 4:25 PM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 28*x - 26994 = -25*x, -a = 5*x - 6714. What is the hundreds digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -247*d = 33*d + 607*d - 15413 - 58208 for d.\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 6.870004ms?\nAnswer: 6870004","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000284382 rounded to six dps?\nAnswer: 0.000028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/527 in 0.07, 0.2, -1\/5?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - 8 - 110\/(-10).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3 + (-5 - -3) - -20. Let h be (-14)\/(-49) - (-162)\/b. Suppose 2524 = -4*i + h*i. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 5*n + 1365 = 0, -843 = -4*u - n + 994. Let w = -457 + u. Solve w*s + 9 = 6*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 4272320?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 46075624 to the nearest integer?\nAnswer: 359","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -132 - -132. Let s = 4\/39 - -58\/195. What is the second smallest value in n, 3, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 348227 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 538969, 1077942, 1616913, 2155882?\nAnswer: 2694849","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 28 and 224.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/10 - 740\/(-25). Sort -3, -5, m, -4 in increasing order.\nAnswer: -5, -4, -3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 - 4. Suppose m = -5*u - 0 + 10. Suppose -u*p - 5*o = -17, o = 6*o - 5. Does 4 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3 - 3 - (4 + -9) and 11?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16119, -32238, -48357, -64476, -80595?\nAnswer: -96714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hnpq when four letters picked without replacement from nncqqcqhqpqnqnqqnqqq.\nAnswer: 11\/23256","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u + 5*u - 3*u)*(0 + 2 - 4) + 2*u - u - 3*u - 3*u + 2*u - u + (1 - 4 + 2)*(3*u - 2*u + 2*u).\nAnswer: -5*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 - -3. Suppose 2*l + z*k = -k - 19, -14 = 2*l + 2*k. List the prime factors of (5 + l)\/(3\/17).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 85*-3591\nAnswer: -305235","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 315 - 204. What is the remainder when y is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -32*q - 2. Let w be p(2). Suppose 0*y = y + 24. Let r = w - y. Find the common denominator of r and 13\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 3, e: 9}. What is prob of sequence eebb?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -393 + 393. Suppose 3*w - 4*r - 14 - 15 = 0, n = 2*w + 4*r - 46. Solve -4*x + w = x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 23 = 3*g - 3*y, -5*y = -5*g + 65. Let m be (-38)\/8 + (-2)\/g. Let f(j) = 2*j + 5. Let l(u) = -u - 3. Calculate m*l(s) - 3*f(s).\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 225539851 to the nearest integer?\nAnswer: 15018","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cctkttcttttcttkcc. What is prob of sequence cc?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9379054 + 15708154. Round y to the nearest 100000.\nAnswer: 6300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the first derivative of y**4 - 292*y**3\/3 + 2590*y**2 + 5476*y - 614. Factor m(l).\nAnswer: 4*(l - 37)**2*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -3*b - 19. Let k be (-21)\/(-3)*(-2)\/2. Let s be f(k). Let h = s + 213. Calculate the highest common factor of 86 and h.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 443077 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -83429\/87 - -959. Which is smaller: n or -6\/11?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 4*u - 37 = u, -v - 5*u + 15 = 0. Suppose 8 = 2*g + 2. Let l(n) = g + 3 + 0 + 2*n. What is l(v)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 295210017 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 57\/(300390\/(-11129)) - (-187)\/85?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2*(1 - (-1)\/(-2)). Let q be (69\/115)\/((-4)\/660). Let s be -5*o\/4*(-44)\/q. Is 2 <= s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15203 is divided by 235?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2020 - -210010?\nAnswer: 200220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 912 = 2*a + i, 4*a + 3*i - 1799 = 0. What are the prime factors of a?\nAnswer: 2, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 + 30103?\nAnswer: 30106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 7, 5, 0.5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5374*w**4 + 10*w**2 - 48*w?\nAnswer: -128976*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/10)\/(((-86)\/(-903))\/(25\/(-15)))?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8266312 and 14.\nAnswer: 57864184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-336)\/24*(40\/28)\/((-27)\/(-54)).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 28*m**3 + 4*m**2 - 13*m + 15. Is z(4) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qcq when three letters picked without replacement from {k: 2, h: 9, c: 1, q: 2}?\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4950 - -13213. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -8.4 and 2744901?\nAnswer: -23057168.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, v: 2, i: 6, d: 6, y: 2, a: 1}. Give prob of sequence bdv.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**3 - 9*i**2 - 16*i + 75. Calculate k(9).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*s - 88 = 18*s. Let w = 0 - -2. Suppose 0*j = -w*a - 2*j + 52, 4*a = -5*j + 109. What is the remainder when a is divided by s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 20720830 by 545285.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2 + 604 - 2)\/((-80)\/(-440)). Let d = 1451 + g. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/(3\/(-6)*3). Let y(w) = w**3 - 3*w**2 - 3*w - 1. Let f be y(u). Let p(h) = -h**2 + 3*h + 2. Let s be p(f). Solve -q - s = q, 2*q = -l - 6 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 18*w + 17050 = 0. What are the prime factors of w?\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -150*i = -455*i - 299 - 6 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from {t: 5, y: 3}.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 980353 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 9*u + 14*u - 2085 = 0, u = 2*t - 843. Calculate the smallest common multiple of 168 and t.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1478634615.\nAnswer: 3, 5, 10952849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 3.37*100\nAnswer: 337","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28\/1*-2 + 35375\/(-1415).\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**2 + 6*c + 9. Let s be v(-7). Let b be ((-180)\/54)\/(4\/6). Let p be ((-44)\/(-55))\/((-2)\/b). Solve -6*a + p*a - s = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.115125 from 501262.\nAnswer: 501261.884875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9650088 and 842468?\nAnswer: 106150968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 597.9 and -0.2.\nAnswer: -119.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2143 + 1117. List the prime factors of u.\nAnswer: 2, 5, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2753*u**2 - 968406*u + 968406*u.\nAnswer: -2753*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 7771279 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14.62 + -1.84. Let k = -14.4 - s. Let f = 0.06 - k. Which is the second biggest value? (a) 2 (b) f (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (13 - (-5 + 4 - 6 - -1)).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3167*d**3 + 33*d + 44*d - 77*d - 3182*d**3.\nAnswer: -15*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1.03 (b) 5 (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 74 or 58763?\nAnswer: 58763","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 125172*t - 2. Let v(u) = 439*u. What is z(v(f))?\nAnswer: 54950508*f - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11634 divided by -5817.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 108437388?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21917 divided by 217.\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 4, z: 3, h: 4, a: 6}. Give prob of picking 3 h and 1 a.\nAnswer: 6\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:28 AM and 7:53 PM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 21472 and 3294.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**2 - 9*i + 15. Suppose 2*k - 53 + 6 = 5*s, 2*s = 3*k - 10. Let g be o(s). Which is the second biggest value? (a) 0 (b) g (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes after 1:21 PM?\nAnswer: 5:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14514 (base 6) to base 15.\nAnswer: -a6a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:35 AM and 1:07 PM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -17, 2, 12, 7 in increasing order.\nAnswer: -17, 2, 7, 8, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -22\/45 and 131\/330?\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -23068.15 to the nearest one thousand.\nAnswer: -23000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -44*a**4 - 4928*a**3 - 5*a + 25355. Let l(u) = -70*u**4 - 7393*u**3 - 8*u + 38033. Let t(z) = 5*l(z) - 8*s(z). Differentiate t(k) wrt k.\nAnswer: 8*k**3 + 7377*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1891 and 61?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-2*sqrt(88)*2 - (sqrt(88) + 6*sqrt(88)*-2 - sqrt(88) - sqrt(88) - sqrt(88) - sqrt(88)))\/(-5*-1*sqrt(968)).\nAnswer: sqrt(11)\/5 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:37 AM and 6:21 PM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -4*g**2 - 6*g + 4. Let t(r) = -11*r**2 - 17*r + 11. Let f(k) = -3*t(k) + 8*x(k). Let i be f(-4). Solve -4*j - j = 4*h + 9, i*h + 5 = -2*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 2, -5 in decreasing order.\nAnswer: 4, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 74804734 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.005297938708 to three dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-1\/6)\/o*o\/(o*o**(-4\/5))*((o\/o**(2\/7))\/o)\/o*o**(-2\/13)*(o**(8\/5)\/(o\/o**3))\/(o**(-8)\/(o\/(o*o**(-8)\/o)*o)) assuming o is positive.\nAnswer: o**(54037\/2730)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -711647 or -9251393\/13?\nAnswer: -711647","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 183395679 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -4*p - 120. Let y be l(-30). Solve y = m - f - 9, 3*m - 5*f + 0 = 37 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the third derivative of 0*s**4 + 0 + 4*s**2 - 1\/112*s**8 + 0*s**3 + 0*s + 0*s**6 + 0*s**7 + 1\/10*s**5. Find the third derivative of u(k) wrt k.\nAnswer: -180*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**3 + 24*n**2 + 31*n - 53. What is the remainder when o(25) is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14815 or 14333?\nAnswer: 14333","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rxbelro. Give prob of picking 1 e, 1 b, 1 o, and 1 r.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -22 + 23. What is the nearest to 0.1 in -5\/2, q, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 - 5. Let j(z) = z**2 + 5. Let s be j(a). What is the first derivative of -2 + s + 0 + 4*l**2 wrt l?\nAnswer: 8*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 - -2. Suppose j - 2*j + 14 = r. Let g(a) = 3*a - 3. Let n(y) = 8*y - 3 - 2 - 5 + 2. Give j*g(t) - 5*n(t).\nAnswer: 2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 472838716 and 166?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-286)\/(22 - 48) - -33088?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 602582.\nAnswer: 2, 17, 37, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 - -6)*(-4)\/(-5). Suppose 6 = -l + 5*u, -2*u + v = -0. Suppose -l*q = -0*z + z - 50, 0 = 3*q - 3. List the prime factors of z.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14659130677 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 8182410 to the power of 1\/3, to the nearest integer?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13.48400014217 - 13.484. What is c rounded to seven decimal places?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -384*c**3*m + 5354*c**3 + 4*c**2*m + 2*c*m + 3*m + 1708932 wrt c.\nAnswer: -2304*c*m + 32124*c + 8*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = k. Suppose 5*s - s - 16 = k. Suppose -2*m + 0 = -s. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*b + 22 = 19*b. Solve -4*p - b = 5 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 3*l**3 - 10*l**2 - 30*l + 85. Determine p(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14818\/(-6692) + 10\/4.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1, -142037, 5 in decreasing order.\nAnswer: 5, 1, -1, -142037","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z + 12 = -3*z. Let p = 6 + -6. Suppose p = -l - 4 + 7. Solve -a = -z*r - 11, -3*a + 7 + 8 = -l*r for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 18, 97, 318, 753, 1474?\n\"Answer: 12*q**3 - q**2 - 2*q + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 32117 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 68921976.\nAnswer: 2, 3, 2871749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the third derivative of 2*p**7\/735 - p**6\/35 - 3*p**5\/35 + p**4\/3 - 141*p**2. Let d(w) = 0. Calculate w.\nAnswer: -2, 0, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x + 180. What is q(9)?\nAnswer: 171","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 77*i**2 + 2*i**4 + 4*i**2 + 37*i**2 + (-i**4 + 0*i + 0*i)*(-1 + 4 - 2) in the form h*i**4 + c*i**2 + z*i + j*i**3 + w and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0\/((-4 - -1) + 5). Suppose -f + 8*f - 7 = m. Suppose s + 2*a = 9, 0 = -4*s - 3*a + 17 - f. Solve 0 = 2*b - y + s, 0 - 1 = -2*b - y for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**3 + 3*f**2 + 2955*f - 614. Give y(-53).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.8*94.90683\nAnswer: 75.925464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -2*y**2 + 3*y - 4. Let k(j) = j - 1. Let a be (-1)\/(2\/8*1). Determine a*k(v) + i(v).\nAnswer: -2*v**2 - v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*q + 11*q**2 - 8*q)*(-280*q**3 + 4 + 1 + 4 + 2876*q**3 - 9).\nAnswer: 28556*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes before 11:53 PM?\nAnswer: 6:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(99)\/(sqrt(44)\/sqrt(4)))\/((sqrt(3) - sqrt(6)\/sqrt(2)*-1) + sqrt(3) + sqrt(3)))**2.\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00072687133 to 6 decimal places.\nAnswer: 0.000727","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 2*b - 19 = 0, 4*k - 10 = -5*b + 27. Suppose 2*z = k*t - 1618, 2*t = 3*z + z + 1076. What is t rounded to the nearest 100?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**2)**(1\/20))**(-5\/9)\/((r\/r**(2\/7)*r*r\/(r*(r*r**0)\/r)*r)\/((r**(3\/7)*r)\/(r**(1\/4)*r))) assuming r is positive.\nAnswer: r**(-55\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 753*w + d - 32 = 760*w, -3*d = -w - 36 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*f + 78 = 34*f. Let x(i) = 154*i - 1. What is the remainder when x(1) is divided by f?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) 2 (c) -0.22 (d) -0.2 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 0.6224162 millimeters?\nAnswer: 0.0006224162","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.718 + 11.\nAnswer: 10.282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 + -14. Does 3 divide (s\/16)\/((-2)\/24)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ayvy when four letters picked without replacement from ywaryyv?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 335040?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49355*c**3 - 98694*c**3 - c + 49373*c**3.\nAnswer: 34*c**3 - c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3072299 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2016) + (sqrt(2016)*-1 + sqrt(2016) - sqrt(2016)))\/((5*sqrt(63) - sqrt(7)) + sqrt(7))*-2)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:02 PM and 1:23 AM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 36586 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2218397 is divided by 672.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in -7, -1\/4, 2\/3, -0.09?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 523368 and 2224.\nAnswer: 145496304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 922 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 3 + 9)*(b**4 + 0*b**4 + 3*b**4).\nAnswer: 28*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 11 + 4*u + 74 - 20. Let q be s(-15). Suppose -2*r - 4*c = -246, 145 - 43 = r - q*c. Is r a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**2 - 15*b + 44. Let d be g(-17). Let a be 2 + 124\/(-80) + (-2)\/d. What is the fourth biggest value in 0.1, 3, 0.2, a?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 809599284 and 246?\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 140 = -156. Let h = 8 - 6. Suppose -3*y = -h*y + a. What is y rounded to the nearest ten?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -161155\/22 - -7324. Calculate the common denominator of b and 2\/10 + (-2 - (-3234)\/180).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 250 + -400?\nAnswer: -140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 121378649548.000000654 + -121378649084. Let j = f + -464. What is j rounded to seven dps?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 288, 417, 136, -555, -1656?\nAnswer: -3167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - u - 5326123*u**2 + 9*u**3 - 2*u + 5326126*u**2 to the form n*u**3 + b + q*u + l*u**2 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 i, and 1 d when three letters picked without replacement from iicicladii?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 47 = 5*t, 9 + 13 = t + 4*x. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:19 AM and 5:32 AM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 1088*h**2 - 24*h - 24. Let r(t) = -7*t**2 + 2*t + 2. Determine -5*l(s) - 60*r(s).\nAnswer: -5020*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -23*n**2 - 47*n. Let w be x(-2). Let s be (48\/20)\/((-4)\/(-50)). Let i = 59\/2 - s. What is the smallest value in 0.3, i, w?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 2 + sqrt(448) + -3 + sqrt(672)\/sqrt(6) + -3.\nAnswer: -4 + 12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mpm when three letters picked without replacement from mvvmpvmmppmmmmmmmm?\nAnswer: 11\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04 - 0.2197551?\nAnswer: -0.1797551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11409 = -26*v + 12641. What is the remainder when 1866 is divided by v?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*t**2 - 3*t**2 + t**2 - 16*t**2 + 3*t**2.\nAnswer: 15*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -5*n**2 + 227*n - 29. Let g be d(34). Calculate the highest common factor of g and 249.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2445 + 2?\nAnswer: -2443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 5}. What is prob of picking 4 h?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-125)\/75 - (-1)\/6?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:35 PM and 12:17 AM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 3, -0.3, -1, -92?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 900566 and 82882.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.3 - 0.7. Let m be (-2 - 24\/(-10))*23\/1104*15. Which is the second smallest value? (a) m (b) 3 (c) t (d) -1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2642276 (base 9) to base 8\nAnswer: -5406365","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 108 + -753\/7. What is the nearest to -2\/5 in v, 23, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 199\/2 bigger than 101?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -197442, -789896, -1777356, -3159816, -4937270, -7109712?\n\"Answer: d**3 - 197509*d**2 + 66*d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + 3*d = 2*d, -4*t - 104 - 122 = -5*d - 366 + 124 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11549 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15 + -22. Let z = -8 - k. Which is the nearest to 1? (a) z (b) 5 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(1584) - (sqrt(1584) - (-3*sqrt(1584) + sqrt(1584) - sqrt(1584)))) - (0 + sqrt(1584) + 5))**2 - (sqrt(1584) + -2 + 0 + 3*(sqrt(1584) + 3))**2.\nAnswer: -2712*sqrt(11) + 432408","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 117 smaller than 14\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.5 (b) -0.1 (c) -569 (d) -168 (e) 3 (f) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1613 + -1620. Let d = -1.1 - -0.1. Let b = d - -3. What is the second smallest value in b, 0.3, u?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 4 + 2)*(1162*w - 2284*w + 985*w - 459*w**2 + 3 + 456*w**2).\nAnswer: 9*w**2 + 411*w - 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Total of -14854 and 2.\nAnswer: -14852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v + h + 4*h + 19, -36 = v - 5*h. Let c(k) = k + 11. Let d be c(v). Let f be -1 + (2 - d)*46. What is the greatest common divisor of f and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in fifteen quarters of a milligram?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 19343609 to the power of 1\/2, to the nearest integer?\nAnswer: 4398","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*(-3)\/(-9)*(-10)\/(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the second derivative of h**3\/3 - 2*h. Let w(o) be the third derivative of -o**5\/60 + o**2. What is u(w(b))?\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 16065641 to the power of 1\/5, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-3\/5)\/q*q*(q**7*q)\/q*q*q*q assuming q is positive.\nAnswer: q**(47\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 3*c - 6. Let s be w(3). Suppose 207 = 4*a + s*d, 2*a - d - d - 86 = 0. Does 13 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1008) + (sqrt(1008)*-2)**2)*4 + -1 - (-2 + (sqrt(1008)*-2 + -5 + sqrt(1008))**2).\nAnswer: -72*sqrt(7) + 15096","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**3 + 72*m**2 + 191*m + 538. What is the units digit of r(67)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -89*k**2. Let o(i) = 53*i. Give o(m(a)).\nAnswer: -4717*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*0.028\nAnswer: 0.0112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/(-20) + (-6273)\/(-15). Let a be (8 + -4)*1 - i. Let c = a - -717. List the prime factors of c.\nAnswer: 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-12)\/(9*10\/(-30)). Let o = 9\/5 + -23\/10. Is o smaller than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2\/5*j**2 + 0*j + 18\/5 = 0. What is j?\nAnswer: -3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.3734927884 - -5053\nAnswer: 5054.3734927884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 53, -35, -1\/20, -2, -31?\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.0244273 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hk when two letters picked without replacement from hok.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 294443 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 542463 is divided by 3123.\nAnswer: 2184","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 0.5127543 years?\nAnswer: 0.05127543","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 80*k + 35. Let n(w) = 9*w + 4. Let j(a) = 35*n(a) - 4*p(a). Let t(x) = -54*x**2. What is t(j(l))?\nAnswer: -1350*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*k**5 - 20035*k**4 - 4*k**3 - 4347875*k**2 wrt k.\nAnswer: -120*k**2 - 480840*k - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 152 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 + -8 + 71 - (-2)\/2. Let s = z - -13. What are the prime factors of s?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z - 2*c + 626154, -518*z + 520*z = 4*c + 313082. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 to the power of 1\/4, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the third derivative of j**2 + 0*j + 1\/8*j**4 + 17\/6*j**3 + 0. Let d = -412 + 408. Let y(k) = -k - 6. What is d*m(u) - 11*y(u)?\nAnswer: -u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - -15) + -3 + -1\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*d - 8 = -41*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((3*-2*sqrt(21) + -2*(sqrt(21) + sqrt(21)*1 - sqrt(21)))\/(sqrt(27)\/((-1*sqrt(27))\/sqrt(3)))*-6)**2.\nAnswer: 16125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0\/(8 + -8 + -2). Is c != -5\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/(-85))\/(1\/5). Which is the nearest to -0.2? (a) 1\/2 (b) -0.1 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**3 - 2*s**2 - 2. Let v be y(-2). Let l be -3*v*1\/6. Let a(m) = 14*m - 1. What is the tens digit of a(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2000 and 354500?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -321214 (base 5) to base 6\nAnswer: -122013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -66, -275, -626, -1119, -1754, -2531, -3450?\nAnswer: -4511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the first derivative of -c**3\/3 + 73*c**2 - 5329*c - 477. Factor g(q).\nAnswer: -(q - 73)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 6, l: 13}. What is prob of sequence blbl?\nAnswer: 65\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**2. Let y(q) be the second derivative of -2*q**3 - 11*q. Give y(m(b)).\nAnswer: 12*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*w - w + 0*w)*(8*w**3 - 11225 + 16*w**3 + 11205) to the form d*w + p + a*w**3 + x*w**2 + t*w**4 and give t.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 64419 and 225?\nAnswer: 4831425","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/2820 and 89\/18678552?\nAnswer: 93392760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 336 + -337.49. Let p = y + 2.49. Let m = 248\/5 - 49. Which is smaller: m or p?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1, -15, -4 in ascending order.\nAnswer: -15, -5, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 43 (base 6) in base 12?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -2*p + 11. Let y be d(8). Let w(f) = -f**2 + 3*f - 5. Let m be w(0). What is the nearest to m in -1, y, -0.4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 305084688?\nAnswer: 2, 3, 1223, 5197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32082 is divided by 55?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*w - 80 = 375 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10641 and 68694.\nAnswer: 243657618","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p**4\/3 + 5716*p**3\/3 - 4095496*p**2\/3 + 16307756*p\/3 - 4072658 = 0. What is p?\nAnswer: 1, 3, 1427","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 126 is divided by 19.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*x + 1212 = 35*x + 5*x for x.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + (-16 + 7 - -51) + -6.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = -f + 4*a + 15, 2*a + 25 = 3*f. Let h = f - 1. Find the first derivative of 5*q**2 - 5 + h - 2*q**2 wrt q.\nAnswer: 6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 137 in 0.03, 0.5, 3, 16\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 x when two letters picked without replacement from {g: 4, f: 1, x: 10, h: 1, v: 3}?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 452*c**2 + c - 2. Let m be x(2). Let o = m - 2968. What is the units digit of (-1)\/(-3) + o\/(-12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (51*o - 48*o + o**3 - 14*o**3)*(0*o + 0*o + 2*o).\nAnswer: -26*o**4 + 6*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 3) in base 10?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 32*r**2 - 2*r - 6. Let a = 19 - 22. Let k be n(a). Suppose 2*m + k = 3*g + 3*m, 4*g + 2*m = 384. Is 16 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1 and 40850?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o - 3 = 3*c, 33*c + 5*o = 32*c - 1 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u - 1. Let v(t) = -74*t**2 - 3*t + 6. Give -6*l(q) - v(q).\nAnswer: 74*q**2 - 3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-3*(0 + sqrt(208)) + 0 - (sqrt(208)*2 + 0 + -5))**2*1.\nAnswer: -5225 + 200*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 655 - 563. Suppose -p*h - 580 = -96*h. Does 5 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is d + -4e07e?\nAnswer: -4e071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 32\/5 of a tonne?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12957 is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 40.38 + 0.62. Let c = -40.96 + q. Let r be (-5)\/7 - (0 - 1). Which is bigger: r or c?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2099, -8942, -20539, -36890, -57995, -83854, -114467?\nAnswer: -149834","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -2*w**2 - 3*w. Let z be r(-3). Let v = 19 + z. Let f be (-2)\/10 + 42\/v. Solve -4*o = -0*o + f for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1635355 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 7*n**2*s**3 + 110*n**2 - 2*n*s**3 - 4*s wrt s?\nAnswer: 21*n**2*s**2 - 6*n*s**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 11598 * 1.78\nAnswer: 20644.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (4 - ((-2 - -4) + 2))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**2 + 5*a - 2. Let j be p(-6). Let f(k) = -7*k - 10. Let c(q) = 15*q + 21. Let u(x) = -6*c(x) - 13*f(x). Give u(j).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2464, -2465, -2466, -2467, -2468, -2469?\nAnswer: -2470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -184094*t**2 - 38862*t + 1 wrt t.\nAnswer: -368188","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1377) - ((sqrt(1377) + -1)*5 + sqrt(1377))) + (sqrt(1377) - (-4 + -1*sqrt(1377))) - -6*-1*(sqrt(1377) - -2*sqrt(1377)))**2.\nAnswer: -3402*sqrt(17) + 607338","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -237729427*-0.3\nAnswer: 71318828.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 637 and 3159?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the third derivative of 0*o - 21*o**2 + 1\/390*o**5 + 0 + 0*o**3 - 1\/52*o**4. Factor b(d).\nAnswer: 2*d*(d - 3)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-56)\/(-12) + 2\/(-3). Let l = 1 + y. What is the third derivative of 2*t**3 + 3*t**3 - 2*t**2 - l*t**2 wrt t?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (80\/24)\/(-5) - (-32)\/36?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11945 is divided by 398?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 43096, 43092, 43088, 43084, 43080?\nAnswer: 43076","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*2*sqrt(17) + sqrt(102)\/(sqrt(12)\/sqrt(2)))**2.\nAnswer: 425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 3*b = 150. Let u = 42 - b. Suppose -u = -p + 30. Is p a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((16\/(-12))\/(-4))\/2*2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*l**3\/3 + 67748*l**2\/3 - 67744*l\/3 = 0. Calculate l.\nAnswer: 0, 1, 16936","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 47512182?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h + 2*h + 15. Suppose 2*i = -h*p + 11, 0 = 2*i - 2*p + 33 - 9. Let s be 2\/((2\/i)\/(-1)). What is the greatest common factor of 49 and s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-40 - -24 - 2) + -4?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6954 and 669048.\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-34)\/187 - (-56)\/66)\/(1\/12). Solve -9*d + 17*d - y = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ib when two letters picked without replacement from {i: 2, b: 2, m: 1, t: 1, a: 1, o: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4567 a factor of 2345465056?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -4*3\/3 + 2. Let l be (2 + 0)*1\/h. Which is bigger: l or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**2 + 15*a + 18. Let b(v) = -2*v**2 - 31*v - 35. Let s(x) = 4*b(x) + 9*l(x). Let g be s(-14). Let p = -39 + g. Is p <= 25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -6006 + 1350?\nAnswer: -4436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2228*g**2 - 2228*g**2 + 303*g**4)*(g - 6*g + 3*g).\nAnswer: -606*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -380 + 135. Let i = w - -245.00119. What is i rounded to four decimal places?\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**2\/v)**(5\/6)\/(v*v**4*v)**(32\/3))**41 assuming v is positive.\nAnswer: v**(-15539\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < -112\/7361?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * 5220.78\nAnswer: -1566.234","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-472)\/1652)\/((-18)\/(-21))\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 33374.67 nanoseconds in seconds?\nAnswer: 0.00003337467","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/636 and -27\/12438358.\nAnswer: 74630148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*w**3 - 103*w**2 + 68*w + 28.\nAnswer: (w - 14)*(w - 1)*(7*w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**2 - 6*o - 4. Let v be n(5). Let m = 11 + v. Calculate the common denominator of (180\/(-32))\/3 - m and 48.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -99.148 (b) 0.1 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**3*f**(-1\/2)*f)**(7\/5)*(f**0)**(-14)\/(((((f**(2\/5)\/f*f)\/f)\/f)\/f*f)\/f**(-1)) assuming f is positive.\nAnswer: f**(11\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-109 + 57 + 82)*(-5 + 3 + 4)*(-l**2 + l**2 + l**2) + (6485 - 6485 + 322*l**2)*(-4 + 6 - 4) to d*l**2 + y + t*l and give d.\nAnswer: -584","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 5*c + 2 = 4*c, 0 = -2*x + 3*c. Suppose -x*h - 498 = -12*h. List the prime factors of h.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) + sqrt(13) + (sqrt(156)*-1)\/sqrt(12) - sqrt(13))**2 + -4 + -1*sqrt(13).\nAnswer: -4 - sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 112 + 7265*s + 142603340*s**3 + 1760550*s**2 - 102 + 3125193*s**4 + 67737247*s**4.\nAnswer: 5*(s + 2)*(242*s + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 4*q - 28. Suppose 0 = -11*z + q*z - 117. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 - 54ec2?\nAnswer: -54ec6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a century in decades?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2602 + -2350. Calculate the lowest common multiple of c and 56.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 872.1286 nanoseconds to microseconds.\nAnswer: 0.8721286","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h - 20, 8045 = k - 4*h - 3809. Suppose -5391 = -5*r + k. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4888 + -295904?\nAnswer: -300792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (31*r + 5*r + 24*r)*(1 - 2 - 1)*(2 - 2 + 4*r).\nAnswer: -480*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 47995143 to the power of 1\/2, to the nearest integer?\nAnswer: 6928","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 2166190?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, 10, 4, 1153?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 20 - -79. Suppose -r - 240 = -249. What is the greatest common divisor of o and r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -56676*f - 453930. Calculate d(-8).\nAnswer: -522","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2622726 to the power of 1\/4, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -24, -123, -294, -537, -852, -1239?\n\"Answer: -36*w**2 + 9*w + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*t + 67*t + 35 = 5*c, 4*t = 2*c - 20 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*p + 5136 = 38*p. Is 67 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -b + 18a8?\nAnswer: 1899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.01 in 567, -5, 11?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**2 + g + 3. Let l be c(-4). Solve -5*w - l = 5 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 2 + 7 = 3*a, -16 = -4*a. Suppose 51 = -z*x - 42. Let p = x + 51. Calculate the smallest common multiple of 6 and p.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2250 by 450.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-2 + 0 - (0 + 6 + -1)) + (489 - 493)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (502 - 358 - 1680 + 641)*(2*l - 3*l + 3*l).\nAnswer: -1790*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/2*t**2 - 6 - 13\/2*t.\nAnswer: -(t + 1)*(t + 12)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/18*-40)\/((-32)\/(-24)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 6*f**2 + 2*f + 1. Suppose -4*b - 11 = -5*p + 7, 4*p = -4*b. Let n be (-1)\/(1 + 2 + b). Give j(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the second derivative of -7*g**3\/6 + 24*g**2 + 67*g. Does 6 divide r(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (36*l + 16*l - 19911*l**2 + 19906*l**2)*(9 - 9 + 10).\nAnswer: -50*l**2 + 520*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - z + 1)*(1 - 1 + z**2) - 62*z**2 + 62*z**2 - 90*z**3 to the form l + x*z**2 + v*z**3 + m*z and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*g - 4 - 3*g + 4.\nAnswer: -15*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 123 - 122.999459. Round s to 4 decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**2 + 6*f + 2. What is the common denominator of u(-9) and ((-413)\/3)\/7 - 0\/14?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -7*t + 37. Calculate d(-6).\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1005?\nAnswer: 3, 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:01 PM and 4:03 AM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*l = 1468 - 15048. Let c = l + -217. Does 43 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 - 8\/4)*1. Let k be 4*2\/8 - w. Suppose 3*t - 1 = 5. Solve -k*z + 2 = -g - g, t*z = 4*g + 12 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - ((2 - -2) + 0 - 4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 5*x = 27, g - 13*x - 18 = -11*x. Factor -g*q + 2*q**3 + 20*q**2 + 2*q**3 + 11*q - 19*q.\nAnswer: 4*q*(q - 1)*(q + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 138 + -121. Solve 5*y + 0*r - 11 = 4*r, 0 = 5*y + 2*r - n for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -316\/7*r + 4\/7*r**3 - 32\/7*r**2 - 40.\nAnswer: 4*(r - 14)*(r + 1)*(r + 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Total of 0.03 and 44.0011.\nAnswer: 44.0311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j + 25 = 874*a - 877*a - 0*j - 90, -66*a - j = 2710 for a.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 819301 is divided by 29.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/m**(-2\/17))\/m)**48)**47 assuming m is positive.\nAnswer: m**(4512\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*k**2 + k**3 + 9*k**4 - 2*k**3 + 2*k + 1 - 8*k**4 to p*k**2 + m*k + q*k**3 + g*k**4 + i and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (8\/6)\/(-9*(-6)\/(-9)). What is the smallest value in 10, a, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the second derivative of -n**6\/72 - n**5\/15 - 3*n**4\/2 - 2*n. Let q(v) be the third derivative of l(v). Differentiate q(r) wrt r.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -25*n**2. Let j = 72 - 72. Let p(g) = j*g + 0*g - 4*g + 5*g. What is p(z(d))?\nAnswer: -25*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -10\/5837 and 13\/25144?\nAnswer: 326872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 22 - 22. Let a(c) be the third derivative of 2\/3*c**3 + 0 + g*c - 2*c**2 - 1\/24*c**4. Calculate a(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, f: 2, l: 2}. Give prob of picking 1 x and 1 l.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 48*n**2 + 2*n + 1. Suppose -4*h + w - 4 = 0, 3*h - 2 = 5*h + w. Let t be x(h). Let j = -332\/7 + t. Is j bigger than -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 19615 + 0.5.\nAnswer: 19615.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 divided by -35?\nAnswer: -76\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the third derivative of -o**7\/180 - 7*o**6\/240 + 2*o**5\/15 + 19*o**2. Let m(f) be the third derivative of u(f). Differentiate m(q) wrt q.\nAnswer: -28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 622, -1\/12, -0.1, 4\/11, 5\/4?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -16*i**2 - 11*i - 22. Let c(a) = -3*a**2 - 2*a - 4. Let x(u) = 11*c(u) - 2*z(u). Let b(j) = -2*j**2 - j - 1. Give -b(g) + 3*x(g).\nAnswer: -g**2 + g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -7*r + 4. Let k(w) = 8*w - 5. Let a(q) = 5*k(q) + 6*l(q). Let p = 8 - 7. Let f be 1 + -4 - (-3 - p). Give a(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/18 - (-110)\/24 - 4.\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a gram in milligrams?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 1024310587?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11757783.\nAnswer: 3, 3919261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 184 - 149 = 7*x. Solve -4*q = 2*y - 2, y = -5*q + x - 4 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 8283 = -t, 4*j - 4*t - 8100 = -1480. What is the remainder when j is divided by 102?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 395287 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*a**3 + 604*a**2 + 2368*a + 2352.\nAnswer: 4*(a + 2)**2*(a + 147)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 131.8 - 132. What is the nearest to 0 in -6, d, 3\/5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -366, -365, -364?\n\"Answer: t - 367","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.2 + -0.2. Let v be 7 - (-1 - (-6)\/2). Let q be 72\/12*2\/(-4). Which is the second biggest value? (a) v (b) q (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**(-2\/13))**(1\/38)*(v\/(v\/(v\/(v\/(v*v**44*v)))))**(-9) assuming v is positive.\nAnswer: v**(-204501\/494)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/3 - ((-6355)\/246 + 26). Let -1\/6*o + n*o**2 - 1\/6*o**4 + 1\/6*o**3 - 1\/3 = 0. What is o?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z = 3*r - 3, 5*r + 26 = z + 9 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1\/5)\/((-4)\/(-5)). Let k = 128.2 - 128. What is the fourth smallest value in k, g, -1\/15, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yg when two letters picked without replacement from yykyoggoy.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-27)\/18)\/(5\/10) + 494 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -60300401 - 2?\nAnswer: -60300403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add together -785.8 and 0.2.\nAnswer: -785.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 7 + 11 = -3*t, -g + 5*t - 28 = 0. Let q = -1.549 - -1.049. Suppose 0*o + 5*j - 5 = o, 23 = 3*o + 4*j. Sort o, q, g in decreasing order.\nAnswer: o, q, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*a**3 - 42*a**2*o**3 + 2*a*o**3 - 28316*o**3 with respect to a.\nAnswer: 6*a**2 - 84*a*o**3 + 2*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.469 - 2.334. Which is smaller: x or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*(-44)\/6*198\/(-264)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 185*a + 14 = 183*a. Let s(n) = n**3 + 6*n**2 - 6*n + 7. Determine s(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -57 + -1 - (657 + -644)?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1797907829 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -3*g - 1. Let i be q(-1). Let r(t) = -3*t + 20. Let a be r(6). Let x(s) = s - 2*s - 6*s**a + 5*s**2. Let z(m) = m**2. Calculate i*x(u) + 3*z(u).\nAnswer: u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*r**3 - 449*r**2 - 404*r**2 - 404*r**2 + 1662*r**2 - 405*r**2.\nAnswer: -7*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1332620914*h**5 - 196221*h**2 - 157*h.\nAnswer: 79957254840*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 3*n = 6, 0 = 4*f + n - 61 - 15. Suppose -4*k + f + 10 = 0. Suppose x = 9*x - 56. Calculate the greatest common factor of k and x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 60277, 51153, 42029, 32905?\nAnswer: 23781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*y = 3945 + 3507. Sort y, -2, 5 in descending order.\nAnswer: 5, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3424.0444*0.5.\nAnswer: 1712.0222","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 979.\nAnswer: 11, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -13979617382558 plus -3?\nAnswer: -13979617382561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 2*m + 20, 0 = 3*m + 5*g + 32 + 24. Let k = -38\/123 - -8062\/615. Let n = k + m. Which is the third smallest value? (a) -2\/5 (b) n (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2 or -99\/47?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 - 2*w + 2 + (-9 + 5 - 6)*(w - 4*w + 4*w) + 26*w - 23*w - 52*w.\nAnswer: -61*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkzkzkkkxktx. What is prob of sequence xzzk?\nAnswer: 7\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3913565 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32402517 + 6.2164.\nAnswer: 32402523.2164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4285 - 1425 - 1437 - 1436 + 38*b**2 + 2*b**3.\nAnswer: 2*b**3 + 38*b**2 - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 18, 2, -28, -78, -154, -262, -408?\n\"Answer: -v**3 - v**2 - 6*v + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 239 is divided by 40?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**2 + 48*b - 47. Let x be k(-49). Solve -x*w + 6*w - 12 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 53568?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 2*z = -38, -55 + 15 = -5*f - 5*z. Suppose 3*i + f = 6*i. Which is bigger: 1 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 17*g**2 - 10*g**2 - 10*g**2 - 2*g + 4*g**2. Suppose j = -3, 3 = 5*w + 2*j + 2*j. Give t(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*v - 3272 = -13072. Is v a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1, -612, 0.1, 118?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 2*r**2. Let x(l) = l**2. Let q(o) = -2*o**2. Let w(a) = 4*q(a) + 7*x(a). Determine -n(v) - 4*w(v).\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 145\/(-29)*(-5)\/(-22)*(-172)\/(-1075)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1152905 is divided by 288199.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 108, 0.4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 9 (b) -8\/7 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -430*d + 216*d - 3 + 11*d**3 + 215*d. Let g(q) = -4*q**2 + 2*q - 6*q**3 - 3*q + 2 + 4*q**2 - q**3. Give 8*g(b) + 5*s(b).\nAnswer: -b**3 - 3*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -16, 1\/2, 160, 1\/6, 5\/3?\nAnswer: 160","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u = -2*u - 15. Suppose -3*k + 6 = 0, 5*k + 3 = -r + 27. Let w be 2\/6 + r\/3. Solve w*z = u + 2 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, 1.4, -15.38 in increasing order.\nAnswer: -15.38, -12, 1.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -2*w - 12, 4*w + 5 = -o - 10. Let g(m) = 4*m**2 - m + 5. What are the prime factors of g(w)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((r\/(r**(-1)*r))\/r*r)\/r*r**0)\/((((r*r**(-1\/2))\/r)\/r)\/r**6))\/(r*r**(-7)*r**(2\/11)*r**(-3\/10)\/(r*r**1*r)) assuming r is positive.\nAnswer: r**(914\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 67002.1 centuries?\nAnswer: 6700210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = j - 60. Suppose -4*c = c - j. What is the remainder when 5 is divided by c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2442941 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**3 + 9*r**2 - 7*r. Suppose -3*y = -3*g - 24, 4*g - 1 = 3*y - 30. Let k(x) = -x**3 - 4*x**2 + 3*x. Let h(b) = g*k(b) - 2*q(b). Solve h(p) = 0.\nAnswer: -1, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 3 = -2*b, -4*b + i + 3*i + 24 = 0. Let y be -5 + b - (-37329)\/2799. Let d = y + -1\/311. Which is smaller: 8 or d?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 - 47 - (-2 - ((19 - 6) + -8 + -1))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the third derivative of -a**7\/840 + a**6\/120 + a**5\/24 - a**4\/6 - 3*a**3\/2 + 3*a**2. Let x(p) be the first derivative of q(p). Determine x(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -42*760\/(-12768)*(-522)\/(-15)?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16 + -23. Let z = h - -9. Let j(m) = 6*m - 187. Let t be j(32). Put t, z, -3 in descending order.\nAnswer: t, z, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3911 a multiple of 250?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 464 < 452?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.1 (b) -9 (c) -117\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33164 is divided by 8172.\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25.9568 + -7.1677.\nAnswer: -33.1245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 1 - 11 = 0. Let g = w + 0. Solve 2*x**2 - 2\/3*x**g + 2\/3 - 2*x = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -130\/11 + 12. Which is the fourth biggest value? (a) -2 (b) x (c) 0 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*d - 8*d - 21*d)*(0*d**2 - 5*d**2 + 3*d**2) to b*d**2 + i + z*d + l*d**3 and give l.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**2 - f + 1. Let s(o) = 38*o**3 - 5*o**2 + 5*o - 38. Let j(y) = s(y) + 5*w(y). What is the derivative of j(r) wrt r?\nAnswer: 114*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6\/5 in 0.0732, -1\/3, -2\/5, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -29*(-84 - 0\/3). Let x = 379 + u. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x - 46 + 35 = -v, -3*v + 11 = 2*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/6197 and -127\/6.\nAnswer: 37182","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 20\/(-15)*3\/2. Suppose 3*j + 0 + 3 = 0. Let p be -3 - 1*(b - j). Let d(a) = a**3 + 4*a**2 + 3*a + 2. What is d(p)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.97 plus 658782?\nAnswer: 658781.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/2*(-5008)\/4. Let j = w + 2779. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -38, -14, 18, 52, 82, 102?\n\"Answer: -g**3 + 10*g**2 + g - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 5*s + 37. Let p be v(-11). Let a be (-823499990)\/(-45) + (-4)\/p. Round a to the nearest one million.\nAnswer: 18000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2\/9 (b) -16\/51 (c) 0.6 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 146471234?\nAnswer: 2, 7, 13, 37, 21751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 27342, 3, 1\/5, -0.8 in descending order.\nAnswer: 27342, 3, 1\/5, -0.8, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rarrrarrrrraarrrrar. What is prob of sequence arar?\nAnswer: 455\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4062 - 1176 = -238*a + 1188. Solve -a = 24*f + 21 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -4*s**3 + s**2 - 7*s + 4. Let r(m) be the third derivative of m**6\/60 - m**5\/60 + m**4\/6 - m**3\/3 - 3*m**2 - 4. Determine -4*q(p) - 7*r(p).\nAnswer: 2*p**3 + 3*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 22472 - 15402. What is x rounded to the nearest one thousand?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 25 - (112 - 110) - (-15 + 0)\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.08837 and 4?\nAnswer: -0.35348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the third derivative of g**8\/1176 + g**7\/147 + g**6\/210 - g**5\/15 - g**4\/28 + 3*g**3\/7 - 134*g**2 - 7*g + 3. Determine b, given that a(b) = 0.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 5*k**2 - 2. Let l(n) = -9*n**2 - n + 3. Let y(u) = 6*l(u) + 11*x(u). Suppose -4*f + 4*h + 52 = 0, -17*h = -3*f - 13*h + 48. Calculate y(f).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -4*l**3 - 2*l**2 + 3*l + 5. Let z be q(-5). What is the highest common divisor of z and 275?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 53 and 87476500.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 12, f: 7}. Give prob of sequence ff.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the first derivative of -2027*d**3\/3 + 2330*d**2 + 2539. Find the second derivative of q(x) wrt x.\nAnswer: -4054","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 7*h + 4. Let d(r) = -7*r - 5. Calculate -3*d(l) - 4*i(l).\nAnswer: -7*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iogononoonor. What is prob of picking 1 r, 1 g, 1 i, and 1 o?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 21873756 and 6708.\nAnswer: 516","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*s + 2*s + 2*s)*(0 + 4 - 2) - 3 + 2*s + 3.\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10233\/370 - 5448\/37. Let w = t + 7543\/45. Find the common denominator of w and 51\/14.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 29819, 29823, 29829, 29837, 29847, 29859, 29873?\n\"Answer: l**2 + l + 29817","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -16206516 (base 7) to base 4\nAnswer: -11332022313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**3\/4 + 1121*s**2\/2 + 99935*s\/4 - 3544925\/2.\nAnswer: (s - 38)*(s + 85)*(s + 2195)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d - 887 + 572. What is the smallest common multiple of 27 and d?\nAnswer: 945","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 440971003 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the first derivative of -6*d**5 - 31*d - 25. Find the first derivative of o(f) wrt f.\nAnswer: -120*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 30708, 61438, 92170, 122904, 153640, 184378, 215118?\nAnswer: 245860","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1023755 (base 9) in base 8?\nAnswer: 2055047","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + (5 + -9 - 3 - -4).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6.4 - -6. Let f = -4.3 - -4. Let n = f - 0. What is the closest to 1 in n, w, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 + 10. Suppose c*s = 63 + 97. Is s a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 + 22. Let q be 6\/(-33) - (35\/(-11) + 2). What is the remainder when ((-42)\/(-28))\/(q\/184*6) is divided by n?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -68 or 0.0693796?\nAnswer: 0.0693796","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the third derivative of -q**6\/120 - 3*q**5\/10 - 5*q**4\/6 + 41*q**3\/6 - 10722*q**2. Determine g(-17).\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*b**2 - 1188*b = 0. What is b?\nAnswer: 0, 297","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and -9237.649?\nAnswer: 27712.947","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 23803648 a multiple of 88?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.3 (b) 2 (c) 3 (d) -0.4 (e) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = 2*x - 54. Let b be (21 - 1)\/((-18)\/x). What is the common denominator of 2 + 0 + 237\/b and -7\/4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -338.4914 to the nearest one hundred.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, x: 3, l: 1}. Give prob of picking 1 z and 1 x.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/68 and -13\/1462304.\nAnswer: 24859168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**3 - 11*t**2 + t + 14. Let f be m(-11). Suppose -4*q = 4*c - 48, -4*c = -2*q + f*q. What is the remainder when q is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + v - 6 = -0, -3*v = -3*c. Let i(d) = d + 2. Let t be i(c). Let j be t\/3 - 2\/(-6). Solve j = 4*m + n + 1 + 4, -3 = m + 2*n for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 129 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*u**3\/5 + 304*u**2\/5 - 1756*u\/5 - 12144\/5.\nAnswer: -4*(u - 69)*(u - 11)*(u + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54*l + 21*l - 24*l - 14*l.\nAnswer: -71*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 2*z = 4. Let x be ((-27)\/6)\/(1\/(-6)). Suppose -9*k = -12*k + x. What is the lowest common multiple of k and z?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 times 117?\nAnswer: 20124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1007.13 and -123?\nAnswer: 123876.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1290*t**2 + 1115*t**2 - 4087*t**2 + 1277*t**2.\nAnswer: -405*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2008 = 2*o + 1786. Let r(h) = -h**3 + 6*h**2 - 3*h + 4. Calculate the remainder when o is divided by r(5).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/((-32)\/28 + 1). Suppose 0 = -5*h + 20, 2*h - b = -x + 4. Solve -3*l = 2*s - 14 - x, 3*s = 2*l - 7 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 11) to base 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from kxkkkxkkkkxklxklkkkl?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a millimeter in micrometers?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**3 + 3*k + 4*k**2 + 14*k**2 + 4*k - 16*k**2 + 13. Suppose 0 = -5*r + 15, 3*y + 2*r = -r - 3. What is the units digit of w(y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*v = -33*v + 25. Factor 0 - 1\/3*u**v + 0*u**2 - 2\/3*u**4 + 0*u - 1\/3*u**3.\nAnswer: -u**3*(u + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c - h - 31, 3*h - 42 = -3*c + c. Suppose c*y - 32*y = -70. Calculate the greatest common divisor of y and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 2*u**2 - 12*u - 36. Let l(r) = r**2 + r - 1. Suppose 2*x - 1 = -4*j - 5, -5*j + 13 = -2*x. Let n(m) = j*y(m) - 4*l(m). Factor n(t).\nAnswer: -2*(t + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -540 * 0.5\nAnswer: -270","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the first derivative of -k**7\/168 + k**6\/40 - k**5\/40 + 11*k - 5. Let f(d) be the first derivative of z(d). Factor f(c).\nAnswer: -c**3*(c - 2)*(c - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -335848187*x. Let o(a) = -3*a. Give w(o(k)).\nAnswer: 1007544561*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 45\/12 + -2*(1 + 1).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 1\/5 (b) -104 (c) 0.5 (d) -2\/3 (e) 3 (f) 89\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4.62 - -0.38. What is the nearest to -1\/3 in n, 0.4, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 680 + -678.59. Let v = 10.3 - 9.89. Let i = r - v. Is i at least 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 15.87038 to 2 decimal places.\nAnswer: 15.87","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 4 - 31 = 0. Solve -b + 1 = 2*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 151 divided by 912?\nAnswer: 151\/912","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (2158\/(-208))\/(9\/(-72))\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f - 4. Let k be ((-1)\/3)\/(1\/(-12)). What is b(k)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 76375416\/925 - 82568. What is the common denominator of 13\/5 and n?\nAnswer: 925","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -133616, -133611, -133604, -133595, -133584, -133571?\n\"Answer: f**2 + 2*f - 133619","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24, -49, -92, -159, -256, -389, -564?\nAnswer: -787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -9*j - 20. Let l be r(-13). Let w = l + -81. What is the remainder when 29 is divided by (w\/(-16))\/((-2)\/20)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 2*a**3 - 8*a**2 - 19*a - 5. Let c(m) = -m**3 + 9*m**2 + 19*m + 6. Let z(o) = -3*c(o) - 2*l(o). Let n be z(-9). Solve -n = -5*y - 26 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.5 (b) 2 (c) 0.08 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2240*x + 2367270 = -2195*x. What is the ten thousands digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one fifth of a hour?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10990385522605 - -0.04.\nAnswer: -10990385522604.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -5*i + 5. Let r(p) = 9*p - 9. Let w(b) = -6*r(b) - 11*y(b). Let o be w(1). Suppose 5*u + 73 = 2*v - o*v, -u = -4*v + 155. Is v a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 6 = 3*y + 47, y = 5*n - 3 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -972 = -7*y - 993. What is the closest to -3 in 1, 0.01, -1\/3, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 121304 - 52414?\nAnswer: 24450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of -30.58 and -11.\nAnswer: 336.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 + -7 + 77087\/12766. What is the second biggest value in -0.5, n, 8?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1\/4 and 3819 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1\/10, -23, -2\/5 in decreasing order.\nAnswer: 1\/10, -2\/5, -1, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 4*q - 19. What is the lowest common multiple of q and 1?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 + 13. Let c be ((-1)\/(-1))\/(3\/w). Suppose -h = c*h - 33. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 7*n**2 - 9*n - 15. Let l(y) = -3*y**2 + 5*y + 8. Let d be 4\/4 + -4 + 8. Let z(w) = d*l(w) + 3*f(w). Is z(-11) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49236113 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**3 - m + 21. Let q be t(0). Suppose -4*o + 23 = -q. Is 11 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (189\/(-18))\/((-12)\/(-8))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 78149 is divided by 8674.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0*(-1)\/(0 - 1). Let k be 1\/((2 + -7)\/5). Put 1\/2, b, k in decreasing order.\nAnswer: 1\/2, b, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**2 + 5*b + 6. Let n be 1\/(-1)*5 - 1. Let h be m(n). Solve 5*j - j = h for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -426935250 by -1355350.\nAnswer: 315","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 2660?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-7)\/(-28) - (-2)\/(-8). Let n = 5 + k. Solve -n*c - 3*i - 16 - 12 = 0, 3*c - 2*i + 13 = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 501476 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that z**5\/3 + 5*z**4\/3 + z**3\/3 - 17*z**2\/3 - 22*z\/3 - 8\/3 = 0.\nAnswer: -4, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2*b + 1)*(5*b**4 + b**4 - 3*b**4) - b**5 + 707*b**5 - 22*b**5.\nAnswer: 678*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -111*r - 261. Let h be i(-3). What is the greatest common divisor of 117 and h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*j - 3*j = 231. Is 9 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w - k = 9, 0 = -3*w + 8*k + 26 + 2 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u**3 + 28985*u**2 + 20698*u - 8280 = 0. Calculate u.\nAnswer: -4140, -1, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - i + 2 + (-4*i + 3*i + 0*i)*(2 + 2 - 2))*(-8 + 26*i + 8).\nAnswer: -78*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 4*y + 14 = 0, 0 = 5*z - 0*y - 2*y - 18. Find the third derivative of 22 + 9*m**z + 6*m**3 - 3*m**2 - 22 wrt m.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*u - 2*z - 591 + 753 = 0, -2*u + 3*z = 53 for u.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25803, 103925, 234375, 417153, 652259, 939693?\nAnswer: 1279455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 583983858023 - -602?\nAnswer: 583983858625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 273 and 1011906?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 2*r - 4 = 0, 0 = h - 3*r - 4 - 0. Solve -5*j = -h*z - 8, -2*z - 4 = -j + 4*j for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/28 + (-78)\/(-77) + -1\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a + 42. Let q be o(11). Let r = 43 - q. What is the greatest common divisor of r and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**3 - 9*f**2 + 5. Let o be y(-5). What is the tens digit of o\/(-4) - (-9)\/(-12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 + 11. Let m = r - 1. Suppose -m*i = -b + 23, -i - 44 = -b - 2*b. Is 8 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 20 - 16. Let j be (-402)\/g*(-12)\/18. Suppose 4*n - j - 9 = 0. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 215 + 20 = 0. Let m = p - 44. Sort 3, 0, m in decreasing order.\nAnswer: 3, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.23, 0.3, -0.1, 3\/67811 in increasing order.\nAnswer: -0.1, 3\/67811, 0.23, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 17137626?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -16? (a) 4 (b) 0.1 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:19 PM and 3:04 AM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 5 = -42. Suppose m = w + 33. Let f be (-6 - w)*(18902 - 2). What is f rounded to the nearest ten thousand?\nAnswer: -190000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -68 at most -67?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 2 + 12*z - 9*z - 3. Let d be t(7). Solve 2*c = -3*c + d for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 139 + -138.883. What is c rounded to one decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:01 PM and 2:56 AM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 + 1. Let f be (-5 - 9\/(-3))*-2. Solve y = 3*r - 3 - 0, f*r + 16 = -5*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - 3*a = 9*p - 5, 2*a + 35 = 5*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 782 is divided by 377.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the third derivative of m**6\/40 + m**5\/20 - m**4\/4 - 14*m**2. Solve w(u) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 192 - 144.5. Let c = b + -62. Round c to the nearest integer.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -529 divided by 37?\nAnswer: -529\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i - 23. Let f be u(16). Let x = 8 - f. Solve -5*k = -x, 5*j - 2*k = 2*k - 32 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -108 + 108. Let f(s) be the second derivative of s**2 + 0*s**4 + n - 5*s + 0*s**3 - 1\/30*s**6 + 0*s**5. Find the first derivative of f(q) wrt q.\nAnswer: -4*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p - 20. What is k(-18)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3220378*t + 3220248*t - 6500 for t.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -355.8496*5\nAnswer: -1779.248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1 and 125.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 640200.\nAnswer: 2, 3, 5, 11, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5007120 and 9422.\nAnswer: 1346","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 32479741 to the nearest integer?\nAnswer: 5699","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -56\/871 - 6\/67. Let x = 3.91 + 0.09. Suppose 4*a + 25 = 5. Put a, y, x in increasing order.\nAnswer: a, y, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20204009.\nAnswer: 7, 2886287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 15\/(-9) - (-47068)\/4984*(-1)\/(-6) and 1\/10.\nAnswer: 1780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6 + (-5 - (-1 + -1)). What is the lowest common multiple of 3\/6*1*40 and 3 + (4 - -1 - i) + -1?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j + 3 + 9. Suppose j*s = s + 20. Calculate the least common multiple of 2 and s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 - -2015?\nAnswer: 2020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -39*c - 77. Calculate n(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 490*k - 493*k = 5*t + 18, -t = k + 4 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6464 a factor of 2421847611?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 4*h**2 - 181*h - 150. Let l be w(46). Suppose 4*n + 8*t - 11*t = -41, 2*n = -t - 33. Which is bigger: n or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5915\/2 - 20736\/7. Calculate the common denominator of b and 1170\/(-108) + 0*(-1)\/2.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 3*s + 2*q - 7, 0 = 3*q - 15. Let o be (-2)\/(s*(-3)\/18). Suppose -2*t + 470 = o*t. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 - 5. Let d = j - -6. Suppose b = -k - 4, 0*k + 27 = 2*k - d*b. Is 1\/2 < k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(1\/2)*(i\/(i*i**5\/i))\/i)\/(i\/i**(2\/5))**4*((i\/i**(1\/4))\/i*i**5)**(1\/40) assuming i is positive.\nAnswer: i**(-217\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000095126 to 6 decimal places.\nAnswer: 0.000095","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -74*r**3 + r**2 - 2*r - 3. Let v be m(-1). Calculate the highest common factor of 185 and v.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + 8 = -0*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -28*r + 7. Let t(s) = -9*s + 2. Suppose 3*f + 3 = u, 4*u + f + f - 26 = 0. Let p(l) = u*d(l) - 21*t(l). Let a(v) = 3*v. Determine p(a(y)).\nAnswer: 63*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7886*i - 7 = 7885*i + d, 4*i - 12 = 2*d for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 51 and 69.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*m - 45*m + 40 = 0. Suppose 0 = -2*p + v + m - 0, 20 = -5*v. Solve a - p*c = -3*a, a - c - 1 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26247518.\nAnswer: 2, 11, 67, 17807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -668 by 167.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m + 21 + 18 - 39. Let n(g) = -18*g**2. Calculate n(t(o)).\nAnswer: -18*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.1 and 0.0653753362.\nAnswer: 0.1653753362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.0867*-69\nAnswer: 5.9823","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**3 - 5*h**2 + h + 3. Let f be b(-5). Put 1, -4, f in decreasing order.\nAnswer: 1, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 2*j = 2, -s + 4*j - 5 = -3. Let z(d) = 748*d - 7477. Let a be z(10). Solve -a*g + g = s for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 7, 1\/3, -30\/7, -1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -688, -684, -680, -676, -672?\n\"Answer: 4*k - 692","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 31, 521, 2, -8, -0.4, -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from {h: 4, f: 3}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4271264*l**3 - 2135552*l**3 - 2135705*l**3.\nAnswer: 7*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - -86) + -16 + -1 + 478 + -461.\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 357\/12 - (35\/20 + -2). Suppose -n*k = -8241 - 6369. What are the prime factors of k?\nAnswer: 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 4*v. Let x(b) = -b. Let f(w) = -u(w) - 6*x(w). Let a(d) = -20*d. Calculate a(f(y)).\nAnswer: -40*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.118145 and -32?\nAnswer: 32.118145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*r + 0*r + 2*r**2)*(-2 - 5 + 4)*(-4*r + 3 + 10*r + 7*r) + (-r + 3*r + 0*r)*(-32*r**2 - 22*r**2 + 7*r**2) to l*r + i*r**2 + k + m*r**3 and give i.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.6 and -11830640.\nAnswer: -11830640.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1071\/8 in 1\/3, 0, -3\/8?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 0)*(-3 + 3 + 2*z) + (3 + 4 - 4)*(-3*z + 3*z + z).\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -31\/5 - -77\/10. What is the second biggest value in 0.1, 5, p, -2\/19?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 985205530?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-240)\/(-64))\/((-18)\/24).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (70\/(-49))\/(2*(-3)\/42). Suppose c*q - 22 = 8. Solve q*u - u - 4 = -4*i, -3*i - 11 = -2*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the second derivative of -p**4\/12 + 13*p**3\/3 - 123*p**2\/2 + 2*p - 132. What is w(19)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (18\/(-8))\/((-9)\/24). Let w be 2\/o + 156\/(-36). What is the nearest to w in 5, 0.4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 63 + 22 + (-3 - 1 + 9)*(0 + 0 - 1))*(2*f - 3 + 3).\nAnswer: -84*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.77 (b) -1\/3 (c) 0.4 (d) -0.7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**3 - 15*d**2 + 82*d - 189. What is the least common multiple of k(-23) and 21?\nAnswer: 15099","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - f)*(-2*f**3 + f**3 + 0*f**3 + (8*f**2 - 7*f**2 + 23*f**2)*(0*f + 0*f - 4*f))*(-11 - 13 + 9)*(3*f + 4 - 2 - f).\nAnswer: -2910*f**5 - 2910*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 36 (b) -1\/7 (c) 2\/13 (d) -3 (e) 8\/5 (f) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13 + -8. Suppose 3 + 12 = 3*i - 4*a, 0 = -w*a. Put -1, i, -3 in decreasing order.\nAnswer: i, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.47 + 0.07. What is the smallest value in o, -2\/13, -0.1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2460785979?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**3 - 7*h**2 + 4*h. Suppose -2*t + w = -2, 0 = -3*w + 6*w - 12. Let x be l(t). Let p = x - -35. List the prime factors of p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 - 3 - 5)*(-2 + 2 + 2)*(-3*q + 6*q - 2*q)*(2*q**2 - 1 + 1) as i*q**2 + w + j*q + b*q**3 and give b.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(972) - (sqrt(972) + (sqrt(972) - ((sqrt(972) - (sqrt(972) - 1*sqrt(972)*2) - sqrt(972)) + sqrt(972)))))\/(3*(1*sqrt(9) - sqrt(9)) + sqrt(36)*-5).\nAnswer: -3*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4106306 is divided by 9375?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xvvxxxvxvvixxxixxxv. What is prob of picking 3 v?\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -52565, -52566, -52575, -52598, -52641?\nAnswer: -52710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101110001 + 11111101?\nAnswer: 1001101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*q - 2*q + 4*q)*(2*q + 11*q + 144*q) to the form g + h*q + r*q**2 and give r.\nAnswer: 628","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 38842164 to the nearest integer?\nAnswer: 339","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d + 1. Let g(a) = -3*a + 12. Let f(k) = g(k) - 2*z(k). Let i be f(10). Let s(t) = t - 1. Calculate s(i).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3857?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(1\/2))**(3\/35))**(6\/7) assuming a is positive.\nAnswer: a**(9\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 5, a: 15}. What is prob of sequence zz?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 206*l**3 + l**2. What are the prime factors of s(1)?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**3 + 4*x**2 + 10*x + 5. Give i(5).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*w - 5*w + w**3 + 3*w.\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2591731389?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 552.374 millimeters in kilometers?\nAnswer: 0.000552374","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6276 is divided by 86?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(-1 - 1) - 31. Let b(t) = -27 + t + 0*t + 36 - 4. Let r(y) = -1. Determine a*r(p) - 6*b(p).\nAnswer: -6*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6791349?\nAnswer: 3, 157, 14419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -253528 - 0?\nAnswer: -253528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + g = 3*u - 12, -4*g = 3*u - 12. What is the second derivative of -14 - 6*t - 4 + g*t + 9*t - 37*t**5 wrt t?\nAnswer: -740*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10 + 13. Suppose y + d = 3*k, -2*y + 42 = 3*y + 4*k. What is y rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the first derivative of -k**6 - 79*k**5\/5 - 353*k**2\/2 - 473. Find the second derivative of o(m) wrt m.\nAnswer: -120*m**3 - 948*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 83 - (13 - (-8 + 30) - (-25 - -8 - -17)).\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (-1 + sqrt(539) + 2 + -3 - (sqrt(539) + (sqrt(539)*-2 - sqrt(539)) + 3 + -3)))**2.\nAnswer: 4851","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 552780 to the nearest ten thousand.\nAnswer: 550000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 888297319?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 346446230 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-720)\/1638 - (-8)\/52. Sort -2\/11, q, 24.\nAnswer: q, -2\/11, 24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes after 8:39 AM?\nAnswer: 11:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the first derivative of 7*y**6\/60 - 2*y**5\/15 + 10*y**2 + 20. Let h(z) be the second derivative of v(z). Find the third derivative of h(r) wrt r.\nAnswer: 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 62916555, 62916553, 62916549, 62916543?\nAnswer: 62916535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02171932749 to 6 decimal places.\nAnswer: 0.021719","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -52.74 - -48. Let g = 0.26 - z. What is the smallest value in g, 0, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3658 + 3263.4. Let v = -395 - j. What is the biggest value in -2, 2\/7, v, -3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (15\/90)\/((-8)\/(-128))\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 651518056?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 - -2 - -16 - 0. Let w be ((-3)\/x*-2)\/(3\/27). Suppose w*p - 5*z + 8 = -3*z, -3*p - 9 = -3*z. Which is smaller: p or 2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.855 + -0.145. Which is the closest to 2? (a) w (b) 3 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3412186 and 1094.\nAnswer: 1094","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 599754588?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**3 + 3*g**2 - 7*g - 4. Let p be m(7). Let b = p + -3137. Round b to the nearest one thousand.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/64 - (-18)\/(-16).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 95\/18 and 45\/10318.\nAnswer: 92862","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 3*n + 3. Is 7 a factor of 13 - (1 + n - -4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 9*a**3 + a**2 + 7 + a**2 + 11*a**3 + 7*a**4 to o*a**3 + m + j*a**2 + f*a + c*a**4 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 281 greater than or equal to 280?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 13962 (b) -1.6 (c) 6.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 271 greater than or equal to -1\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2 - 514405515.\nAnswer: -514405514.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes before 11:46 PM?\nAnswer: 1:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.054 - -0.714. Let l = -1.16 + h. Let k = -464\/5 - -92. What is the smallest value in 3\/5, 2\/7, k, l?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*i - 17*i - 65*i**3 + 1 + 28*i to w*i**2 + o*i**3 + h*i + j and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the third derivative of -813*o**7\/35 + o**5\/30 + o**4\/24 - 166*o**3 + o**2 - 903. What is the third derivative of t(m) wrt m?\nAnswer: -117072*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -26*g - 4. Let i be d(-4). Suppose 7*m = 3*m + i. What is the greatest common factor of m and 100?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/3, -23\/3, -2\/735, -3\/8?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.072 + -1.903. Let k = 4 - 6. Let d = k - u. What is d rounded to 2 dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q - 8. Let n be (0 - 1)\/((-33)\/(-17) + -2). Suppose 0*c + 3*c - z = n, -4*c - z + 25 = 0. Determine t(c).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 100, -4, 0.4, 5\/2, -5, -20766?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*x + x - 6*x + (3 + 0 - 4)*(-x + 2*x - 3*x) + x + 4*x - 3*x + 3*x + 2*x - 6*x + 0 - 2*x + 0 to r*x + b and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*g**3 - 5106*g**2 + 12690144*g + 32400869248 = 0. What is g?\nAnswer: -2536, 2519","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -201*t + 79*t**5 + 243*t**5 + t**3 - 340*t - 105*t wrt t?\nAnswer: 6440*t**3 + 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (12 - 13)\/(2\/(-4)). Suppose 0*a + 163 = s*t - a, 99 = t - 4*a. List the prime factors of t.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -640 - -658. What are the prime factors of m?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**2 - 41*t - 238. Let x be l(-7). Solve x = 4*r - 12, 3*r - 13 = -2*v + 4*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*j + 41*j + 32*j - 151*j + 32*j + 27*j.\nAnswer: 6*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-15204)\/(-48))\/((-4)\/(-10) - 22\/80) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (2 + sqrt(11))**2 + -1 + 2*(-3 + sqrt(1584) + sqrt(1584))**2.\nAnswer: -284*sqrt(11) + 12708","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(((sqrt(170)*-2 - sqrt(170))*-3)\/(-1*sqrt(1210)) + (sqrt(68)*4)\/sqrt(4) + sqrt(102)\/sqrt(6)*5).\nAnswer: -360*sqrt(17)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3008\/3? (a) 0.2 (b) -0.2 (c) 4\/3 (d) 0.039\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2*(1 + -2))\/(-4). Let q = 12\/5 + -74\/35. Which is the closest to -1? (a) q (b) v (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 4*b**2 + 7*b + 9. What is the remainder when w(-8) is divided by 42?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -3*w**2 - 6. Let r(p) = 6*p**2 + 11. Suppose 3*d - 75 = 8*d - 4*h, 42 = -2*d + 4*h. Calculate d*i(z) - 6*r(z).\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 256 and 192.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -3*d + 4*d - 2*v, -4*d + 16 = 2*v. Suppose 8 = -3*r + 5*r, 5*j = 5*r + 80. Suppose 4*m = -0*m + j. Solve -3*i = 5*x + 25, m = -2*i - d*x - 13 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (14 + -3321)\/(14\/(-206)) + 1\/(-7). What is l rounded to the nearest one thousand?\nAnswer: 49000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*s - 32 = 44. Sort -17, s, -5.\nAnswer: -17, -5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -973 + 594. Let q = 1042 + i. What are the prime factors of q?\nAnswer: 3, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 161215?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12*(-4)\/64*4*(-3)\/(-108).\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j - 94 = -39*j. Solve -5*k = 3*m + 21, 0*m - 4*m = -2*k + j for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*o + 4 = 4. Solve -2*x + x = o for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5517719*s**2*x - 233539*s*x + 2*s + 2*x + 2 wrt s?\nAnswer: 11035438*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1516514753?\nAnswer: 13, 116654981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 58 = -2*k - 62, 4*k = -8. Suppose 21*p + 51662 - 164159 = m. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 38? (a) -2\/9 (b) 4 (c) 0.37\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jf when two letters picked without replacement from bbjfbfff?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**2 - 2. Let s(v) = 5*v**2 - 11. Let o(u) = -22*b(u) + 4*s(u). Let m(f) = -8 + 4*f**2 + 8 + 0. Give o(m(w)).\nAnswer: -32*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 + 2. Let l = 5.08 + -0.08. Let k = 7 - l. What is the smallest value in o, k, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -95, -137, -175, -209, -239, -265, -287?\n\"Answer: 2*y**2 - 48*y - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -154 and -1502705 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7227456 is divided by 328518.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 69 and 7613?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, 5\/3, 2.4, 0.4 in decreasing order.\nAnswer: 2.4, 5\/3, 0.4, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -52*l**2*s*y**3 + l**2 + 10*l*s*y + 65*l*s - 2 with respect to y.\nAnswer: -156*l**2*s*y**2 + 10*l*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6*(-2)\/(-27))\/((-10)\/45)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -51, -84, -145, -240, -375, -556, -789?\n\"Answer: -o**3 - 8*o**2 - 2*o - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m + 12. Suppose 4*x = -0*x. Calculate the smallest common multiple of 10 and n(x).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -2\/39, 1\/5, -2\/5 in ascending order.\nAnswer: -2\/5, -2\/39, 1\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 292986893 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 5, b: 15}. Give prob of picking 2 b and 2 v.\nAnswer: 70\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -207, 1276, 78.\nAnswer: -207, 78, 1276","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1009040 divided by -126130?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*i - 6*i - 75. Let d be (2\/i)\/((-12)\/(-18)). Which is the nearest to 1\/4? (a) d (b) -6 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**2 - 15*d - 10. Let j be h(17). Let o = j + -18. Calculate the remainder when 9 is divided by o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((100\/(-15))\/(-5))\/(44\/99)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, -3, 7 in descending order.\nAnswer: 7, -3, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 987*d**3 + 3*d**2 + 3*d. Let q be x(-2). Let j = q - -126195\/16. Calculate the common denominator of j and 79\/8.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = -5*n - x, n - 35 = -3*n + 3*x. Solve 0 = -o - n + 13 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 divided by 1304.\nAnswer: -9\/652","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 + 0. Let t(u) = u**3 + 3*u**2 - 3*u + 10. What is the remainder when 14 is divided by t(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iltzn. What is prob of sequence zn?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (4 - -2) + (-1829)\/236\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 90823869, 90823869, 90823867, 90823863, 90823857?\n\"Answer: -v**2 + 3*v + 90823867","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1285027804 to the power of 1\/2, to the nearest integer?\nAnswer: 35847","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89 = -4*l + 433. Let q = -80 - -22. Let c = q + l. List the prime factors of c.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -32, -49, -74, -107, -148, -197?\n\"Answer: -4*f**2 - 5*f - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-3)\/6 - 3)*40\/(-66) and 89\/66?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/3)\/((-20)\/4)*15\/72.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 906 + -906.00000032. What is d rounded to 6 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 - 3.95. Let h = b + -1.05. Let q = -0.160051 + -0.039949. What is the fourth biggest value in 4, -1\/2, h, q?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 33? (a) 2\/11 (b) -0.08559 (c) 0.5 (d) 4 (e) -20\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 + -2. Let q = 6293.3 - 6574. Let x = q - -281. Sort -6, u, x in decreasing order.\nAnswer: x, u, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102333321 (base 4) in base 16?\nAnswer: 12ff9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**3 - 5*v**2 - 5*v. Let n(a) = 375*a**2 + 2*a - a - 374*a**2. Give -4*i(q) - 20*n(q).\nAnswer: -4*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2052 - 4*n**3 + 5*n**3 + 2052.\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (8*p**3 - 7 + 7)*(-5*p - 30*p - 2*p) in the form m*p**3 + u*p**2 + n*p + h*p**4 + x and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/18? (a) 12.9 (b) -29 (c) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 29*v - 5 - 5 + 2 - 8*v. Let d be y(1). Which is smaller: d or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in five eighths of a gram?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -10 (b) -2\/7 (c) 1458\/17 (d) -0.3 (e) 3 (f) -2.5 (g) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 47, 58, 81, 122, 187?\nAnswer: 282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4878.3 rounded to the nearest 1000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(-6))\/(g\/(g*g*g**(-2\/125)*g)) assuming g is positive.\nAnswer: g**(-377\/125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3152 - -157607\/50. Let t(h) be the second derivative of -z*h**5 - h + 0 + 2\/3*h**3 - 2\/5*h**2 - 17\/60*h**4. Factor t(j).\nAnswer: -(j + 2)*(2*j - 1)*(7*j - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1554276 to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4*w**3 - 9*w + 279 wrt w.\nAnswer: 12*w**2 - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 4*i**3 - 72*i**2 - 24*i - 1056. What is z(18)?\nAnswer: -1488","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 676364 and 156?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**4\/(n*n*n**(2\/7)*n*n))\/((n**(-1\/4)\/n*n)\/n**2) assuming n is positive.\nAnswer: n**(55\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve g**2\/4 + 25099*g\/2 - 75306 = 0.\nAnswer: -50204, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 201967 or 201960?\nAnswer: 201960","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1165 (base 8) to base 5\nAnswer: -10004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhq when three letters picked without replacement from qhqqqqqhthht?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 2*f**3 - 2*f**2 + 2*f - 1. Suppose -2*g + 4*v = -12, -3*g + 5 = -v - 3. What are the prime factors of k(g)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (17 - 35) + 16 + 15 + (-2 - -1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**2 - 2*x + 5. Calculate d(3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 143 and 5486.\nAnswer: 60346","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*f**3 + 6*f + 8*f + 18*f - 21*f.\nAnswer: -8*f**3 + 11*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:07 AM and 5:22 AM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d - 5*c + 7, 4*d - 45 = -3*c. Let q = -5 + 13. Is (93\/d)\/(2\/q) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 20 = -316. Let f = v - 79. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 18104 = -0*a - 2*a, -4*p - 4*a = -14472. Suppose -2*v = -0*v + p. What is v rounded to the nearest 100?\nAnswer: -1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 378 + -346. Calculate the highest common divisor of 2 and y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, t: 1, s: 1, g: 4, m: 1}. Give prob of picking 1 m and 1 t.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 21660\/660 + (-6)\/(-33). Solve -8*c + k = 17 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-54)\/8)\/(31*(-2145)\/(-16120)).\nAnswer: -18\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7790407 + -3329593. Round o to the nearest one hundred thousand.\nAnswer: -11100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2401?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 29533192?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 y when two letters picked without replacement from yyyyttvytytyt.\nAnswer: 7\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1001 (base 2) to base 14.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:34 AM and 12:11 PM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1083987 and 174537.\nAnswer: 387","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -658 + 0*h + 0*h + 2675*h**2 + 5*h - 2674*h**2 - 4*h in the form g*h + r + w*h**2 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 3*c - s = 118, -5*s - 98 = -3*c. List the prime factors of c.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (17 - 17) + (0 - (1 - 2))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1144622494?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes before 9:03 PM?\nAnswer: 6:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((sqrt(500) + 1)**2 - (sqrt(25)\/sqrt(5) + sqrt(5) + 0)).\nAnswer: 18*sqrt(5) + 497","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h, 1 i, and 1 n when four letters picked without replacement from yyniycnyihyhnyi?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 6\/25 of a tonne?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 252934, 252962, 253002, 253048, 253094, 253134, 253162?\nAnswer: 253172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 354527*d**5*z**2 + 6*d**3*z**2 + 804*d**2*z**2 + 2167*d**2 wrt d?\nAnswer: 21271620*d**2*z**2 + 36*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1298096536.\nAnswer: 2, 11, 139, 106123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-7 + 93\/12)\/(5\/(-70))*-2\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*u - 9*u + 2660. Calculate the remainder when u is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 1152 + 1032 = 2*b, -1107 = -b - o. Does 19 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the third derivative of w**5\/30 + w**4\/4 - w**3 - 9*w**2 - 1. Let x(i) = -i + 1. Determine -h(r) - 6*x(r).\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(26)\/(sqrt(550)\/sqrt(11)).\nAnswer: 2*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13 + 4 - -11)\/(-2 - 1).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/40)\/((-1)\/6)*(112\/(-21))\/(-1).\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -10620 to the nearest one thousand.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6046 - -108893\/18. What is the common denominator of 31\/6 and j?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 28134?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:00 PM and 8:30 PM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 20*s**2 - 6*s - 6. What are the prime factors of a(-2)?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -10.214 and 4?\nAnswer: -40.856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -90 - -94. Solve 2*j + 2*j = d*u - 36, 0 = -3*u + 2*j + 22 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.6 - 1.4. Let v = -12.9 - -8. Let j = v + -0.1. What is the second smallest value in n, 2, j?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -15 + 45. What is the highest common divisor of b and 270?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5817.\nAnswer: 3, 7, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -8 (b) -1\/2 (c) 616\/5 (d) -0.1 (e) -3\/14\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-350)\/(-20))\/((-1)\/(-22)). Let k = 394 - x. Solve -27 = -4*l - 3*w, 34 - k = 5*l + 2*w for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/22 and 79\/1246518?\nAnswer: 13711698","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -7*l. Let q(s) = -86*s**2 - 10*s + 100. Let y(i) = -87*i**2 - 12*i + 120. Let v(h) = 6*q(h) - 5*y(h). What is m(v(b))?\nAnswer: 567*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**3 - 27*g**2 + 25*g + 35. Let w be i(26). Let q(t) = -w*t - 6 + 14*t - 6*t. What is q(5)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 712 - 715. Let m be (6 + l - (-130)\/(-40))\/(-7). Is -2\/5 bigger than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -375.6211 + -3.1261\nAnswer: -378.7472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 - 1. Suppose -r + 4*r + 12 = 0. Let l = a - r. Solve -11 = 2*f - v, 0 = f - 2*v + l*v + 2 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 85.551327 microseconds to hours.\nAnswer: 0.0000000237642575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -24*u. Let d be 10 - 12 - (-1 - 0). Let q be g(d). Let r = 30 - q. Let v(s) = s**3 - 5*s**2 - 8*s + 8. Give v(r).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*k - 3*k + 2*k**2 + (-2*k**2 + 0*k**2 + k**2)*(-1 + 0 - 1) + 2*k**2 - 2 + 2 + (19 - k**2 - 19)*(0 - 1 + 6) as w*k + n + c*k**2 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 129853 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -8*i**2 + 101*i - 60. Let w be u(12). Let n(p) = -16*p**2 - 5*p - 35. Let h(b) = 3*b**2 + b + 7. Let q(d) = -11*h(d) - 2*n(d). Determine q(w).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 511 - 13?\nAnswer: 476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x - 12. Let g be n(-11). Let v be (g - (3 + 3)\/(-3)) + 5. Let k(o) = 3*o + 11. List the prime factors of k(v).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1383 divided by -2454?\nAnswer: 461\/818","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6964 is divided by 480.\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 + 2d?\nAnswer: 2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35611379.\nAnswer: 17, 2094787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((2\/2)\/(-1))\/(21\/(7623\/33)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in thirty-two fifths of a hour?\nAnswer: 23040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 644, 1991, 4046, 6809, 10280, 14459?\n\"Answer: 354*v**2 + 285*v + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2886978 decades in months?\nAnswer: 34.643736","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 580 to the power of 1\/4, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (-1 - 4\/(-4))\/1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**2. Let y(b) = 2. Let k(l) = 3*l + 24. Let p(x) = k(x) + 6*y(x). Give u(p(z)).\nAnswer: -9*z**2 - 216*z - 1296","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(112))**2*-2 + 5.\nAnswer: -219","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 11*a**3 + 1. Suppose 3*m = b - 20, 3*b = -9*m + 4*m + 4. Let t = b - 7. Let v be c(t). Calculate the greatest common divisor of 24 and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5.7*2.535\nAnswer: 14.4495","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bhib when four letters picked without replacement from {h: 2, g: 10, i: 4, b: 4}.\nAnswer: 4\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 198 and 6666?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 6\/11, -5, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*c - 6*c + 4*c.\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2286.36 + -2249. Let g = 0.36 - i. Let c = -36.99947 - g. What is c rounded to 4 dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1100010010001100011 (base 2) to base 15\nAnswer: 7e406","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 10*(-2)\/6*((-31941)\/(-18))\/(-91)\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the first derivative of -10*l**3\/39 + 4*l**2\/13 + 2*l\/13 + 5. Suppose s(m) = 0. Calculate m.\nAnswer: -1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -103 + -51b9?\nAnswer: -52bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1069 or 1122?\nAnswer: 1122","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (39\/(-9) - -4)*(-2 + 2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:16 PM and 11:36 PM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*(-125)\/((-63875)\/(-14)).\nAnswer: -2\/73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4504 (base 9) to base 10\nAnswer: 3325","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1265.9 - -1262.9. What is the nearest to -8 in 1, -56, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.9 - 177606157939.\nAnswer: -177606157938.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(475) - (-5 + (sqrt(475)*1 - sqrt(475)) + sqrt(475))) + -2 + 1 + sqrt(475) + (-1 + sqrt(475))*-6 + (sqrt(475) - (-3 + sqrt(475) + 0)))**2.\nAnswer: -750*sqrt(19) + 12100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (45\/10)\/(-3)*((-16)\/(-39))\/16.\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:55 PM and 4:20 AM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 2*n - 477 = -3*d, -2*d = -n - 317. Let g = -111 + d. What are the prime factors of g?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 31 - 11?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 5*p - 94, 4*p + 2*l = -166 + 234. Solve -p*h = -202 + 220 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 - (36 + -47 - (3 - -7)).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -25*f + 2*f**4 - 2500*f**2 + 2433*f**2 + 7*f to w*f + k*f**4 + m*f**3 + x + i*f**2 and give w.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Total of -84866627 and -0.5.\nAnswer: -84866627.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q**3 + 47174*q**2 + 518588*q - 1980384 = 0 for q.\nAnswer: -23576, -14, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -109480 divided by 1288?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13*b**2*o + 2456*b**2 + b*o - b + 1081*o + 9 wrt b.\nAnswer: 26*o + 4912","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 293 - -27. Calculate the highest common divisor of 10 and r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 363, -1\/3, -12?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 3, l: 2, g: 6, w: 1}. What is prob of picking 3 g?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 412630203?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eiqoqqqqqkqqiiiikq. Give prob of picking 1 e, 1 q, and 1 o.\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -23*q**3 + 14*q**2 - 29*q - 10. Let u(t) = 17*t**3 - 10*t**2 + 19*t + 7. Give -5*i(o) - 7*u(o).\nAnswer: -4*o**3 + 12*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -18940*w - 3480 wrt w.\nAnswer: -18940","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 2*v**3 + 4*v - 1. Let i(f) = -8*f**3 + 2*f**2 - 13*f + 1. Let g(u) = 9*u**3 - 3*u**2 + 14*u. Let n(d) = 2*g(d) + 3*i(d). Determine -11*b(q) - 4*n(q).\nAnswer: 2*q**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 91880432?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + (8 - -24) + 10 + -17?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 360169\/315 - 14321\/35. Let r = u - 734. What is j in 16\/9*j**3 + 0 - 14\/3*j**2 + 4*j - r*j**4 = 0?\nAnswer: 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the second derivative of -1\/8*d**2 - 4*d + 1\/48*d**4 + 0 + 0*d**3. Solve z(l) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -6*d**2 - 2*d + 1. Suppose 2*s = 21*s - 19. What is t(s)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 + 1. Suppose 0 = 5*h - 2*k - 114, 3*h + n*k = -k + 60. Is 12 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**3 - 7*g**2 - 8*g - 9. Let p be b(-6). Solve 0 = -p*w - 17 + 14 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3102 and 21368644.\nAnswer: 1034","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b = -2*d + 31, d = 19*b - 160 + 41 + 70 for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**2\/3 - 5801*w\/3 + 97750.\nAnswer: (w - 5750)*(w - 51)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r = -16, -2*s + 4*r + 11 = -1 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lve when three letters picked without replacement from {l: 1, s: 1, e: 1, v: 2, n: 2, j: 1}.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13721193?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3233 is divided by 148.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 y when two letters picked without replacement from kyjuh?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4175.972 centuries in years?\nAnswer: 417597.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 635 is divided by 336.\nAnswer: 299","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d**2 - 5*d**2 + d**2)*(-5 - 8*d + 5).\nAnswer: 8*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 252881262?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:43 PM and 11:15 AM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/11, 31.71, -4\/11, -13 in ascending order.\nAnswer: -13, -4\/11, -2\/11, 31.71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 418860 and 855?\nAnswer: 7958340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 807234 * -2\nAnswer: -1614468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -5*r**2 - 447680*r - 107600475 = 0.\nAnswer: -89295, -241","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.29 - -0.289954. Round z to five decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 159177.1 rounded to the nearest 10000?\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence www when three letters picked without replacement from wqqwwqwwqq?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -3 and 1.402?\nAnswer: 4.402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 646812961 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g + 13 - 1. Suppose -3*v = 3*y, g*y + 5*v = 4*v + 4. Let l = -61 - -188\/3. Is l less than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 * 0.08\nAnswer: -0.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 916 a factor of 3863081?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(171)*-1 + sqrt(171)))\/(sqrt(99)\/sqrt(99)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 353*h*k - 15*h - 2*k**4 - 2*k**2 + 256 wrt k?\nAnswer: 353*h - 8*k**3 - 4*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9810 - 9316. What is the greatest common divisor of 104 and q?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 62 + -64. Let v be 4*3\/6*a. Are v and -6 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-132)\/(-165))\/(1\/5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the third derivative of -41*h**6\/60 - h**5\/60 + 11*h**3\/6 + 19*h**2. What is the third derivative of q(t) wrt t?\nAnswer: -492","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + 12 + -14 - -13.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 - 2. Let h = 6715.5 - 6716. Is h >= f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.4 (b) 3 (c) -72 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 15813619 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.2 and 7171070241680.\nAnswer: 7171070241679.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 92*d**2 + 7*d - 13. Let g(w) = -46*w**2 - 4*w + 7. Let h(c) = 11*g(c) + 6*m(c). Suppose 3*b + 13 = -i - 4*i, i = -2. Is h(b) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 858668132*b**2 + 3*b**3 - 858668132*b**2.\nAnswer: 3*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 441666 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: b\"What is the qth term of -149873, -149871, -149869, -149867?\n\"Answer: 2*q - 149875","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -319.4 - 21109?\nAnswer: -21428.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -174756\nAnswer: 1\/174756","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3016370 a multiple of 410?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -23 + (-18 - -43) + -7. Put -0.1, -1, 0.2, p, 410 in decreasing order.\nAnswer: 410, 0.2, -0.1, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18165984?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 201 and 620889.\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f = -541 + 169. Suppose 2*w + 4 + 10 = 0. Let h be (-8)\/(-2) + (-413)\/w. Which is smaller: f or h?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(1\/((20\/25)\/2))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*b - 470 = 10*b. Let f = b - -219. Let m = f - 246. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9 + 13. Let i be 20\/110 + 458\/22. Let p = i - x. Is -1\/3 at most p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -46095, -46092, -46089, -46086, -46083, -46080?\n\"Answer: 3*v - 46098","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16082860 to the nearest integer?\nAnswer: 4010","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 36 and 7092.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 525593479 to the power of 1\/2, to the nearest integer?\nAnswer: 22926","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 4*p**2 + 25*p + 29. Let b(n) = n**2 + n + 2. Give -2*b(h) + j(h).\nAnswer: 2*h**2 + 23*h + 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 5 - 2)*(5 + 0 - 2)*(3 + 1 - 3)*(-1 + 1 + 2*l**2).\nAnswer: -6*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -250 + 250. Suppose r = 13*p - 36*p + 644. Solve 4*g = -2*o - 2*o - p, 3*o = g - 1 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:45 PM and 5:00 AM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 5*u - 19, 2*u = 4*l - 0*u - 98. Solve 9 = 5*h + l for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 124 a factor of 5096143135?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 at most 24\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(200)\/sqrt(4) - sqrt(6)\/(sqrt(3) + sqrt(675)\/sqrt(9)).\nAnswer: 3 + 29*sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -1 + -5*sqrt(1700) + 5 + sqrt(1700) + sqrt(1700)*-5 + 1 + sqrt(1700) + -5)**2.\nAnswer: -480*sqrt(17) + 108809","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 32 + -19. Suppose 3*q - 89 - v = 0. Suppose 19*l = 15*l + 36. Calculate the remainder when q is divided by l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -340226 = 85*o - 990476. Does 50 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 456.1 + -481. Let k = -0.9 + 25.9. Let o = k + a. Which is smaller: -11 or o?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 579 and 18?\nAnswer: 3474","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-three fifths of a meter in centimeters?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(2\/31)*m**(-14)\/m)\/(m\/m**(-2\/7))**(43\/5) assuming m is positive.\nAnswer: m**(-28202\/1085)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9064, 9106, 9184, 9304, 9472, 9694, 9976, 10324?\nAnswer: 10744","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 3*j**3 + 3*j**2 - 2*j - 5. Let b(q) = -q**3 - q**2 + q. Let n(v) = 4*b(v) + s(v). Let f be 3\/(-6) + (-7)\/2. Is n(f) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 322586?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 125.\nAnswer: -1\/125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13630351 is divided by 984.\nAnswer: 967","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -1523\/585 at least as big as -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 16*x**3 - 2*x**3 + 6*x**3 + (3*x**2 + 0*x**2 - 2*x**2)*(-1 + 1 - x) - 2*x**3 + 0*x**3 + 7*x**3 - x**2 + x**2 + x**3.\nAnswer: 25*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 7*z = -9*z - 49829, -i + 9958 = -3*z. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 33 and 79418.935279.\nAnswer: 79451.935279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 53.6 (b) -3 (c) -7640\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the first derivative of i**8\/210 - i**6\/90 - 32*i**3\/3 + 6. Let l(q) be the third derivative of z(q). What is the third derivative of l(g) wrt g?\nAnswer: 192*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 + 45. Let s = p + -21. Let i = -2498 + 2503. Calculate the remainder when s is divided by i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1436*(-4 + 2 - (5 + -6)). Let v be h\/10 + 7*4\/70. Does 12 divide 7*(v\/14 - 0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1149*l**3 + 3*l**2 - 1837.\nAnswer: 6894","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1409 a factor of 450582701?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 + -76.58451140631.\nAnswer: -76.98451140631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xix when three letters picked without replacement from xiiixxxixiii.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**2 + 6*u + 77. What is f(-21)?\nAnswer: -490","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 2\/19, -2, -2\/5, 30\/23?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3 + (4 - 20\/28). What is the third biggest value in 0.5, -4\/7, -1\/4, f?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 183\/1180400 or 1?\nAnswer: 183\/1180400","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8896 is divided by 4437.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.017 + 4.017. Which is the second smallest value? (a) u (b) -4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.1226 + -0.8774. Put -0.13, -4, -3, 53, u in ascending order.\nAnswer: -4, -3, u, -0.13, 53","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-7)\/n)**(-2)*n**(-4)\/n*n**(-4) assuming n is positive.\nAnswer: n**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12 + 16. Let o(l) = -l + 0*l + u*l - l. Let m(h) = 5*h. What is m(o(b))?\nAnswer: 10*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 39*o**3 - o - 371 wrt o.\nAnswer: 234*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 3\/4, 4\/3, -46456, 5?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -121 - -171. Suppose -3*f - 57 + 36 = 0. Let p = 27 + f. Calculate the greatest common factor of p and h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 210021 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16 - -16.7. Let g be (1*2\/14)\/(1118\/(-19565)). Is g != u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the first derivative of -7*f**6\/360 - f**5\/120 + f**4\/24 + 11*f**3\/3 + 4. Let j(m) be the third derivative of s(m). Calculate j(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1004 is divided by 112.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -157 - -218. Let z = 66 - i. Which is the nearest to 9? (a) z (b) 0.5 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-2*sqrt(135) + sqrt(135))\/sqrt(3).\nAnswer: -3*sqrt(5) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2183.59 and -6369?\nAnswer: 4185.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -7*y**3 - 176*y - 540. Give v(-3).\nAnswer: 177","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.539577550173 take away -0.2?\nAnswer: 16.739577550173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and -1\/1736 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.4 (b) -0.8 (c) 18 (d) 0.3 (e) -3\/5 (f) -1611\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes after 5:00 AM?\nAnswer: 5:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -2007, 7983 in ascending order.\nAnswer: -2007, 6, 7983","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 21 - 19. Suppose -20 - j = t. Let z(c) = c**3 - 23*c**2 + 21*c + 1. Let i be z(22). Is t > i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yuyyuyyyyybyuu. What is prob of picking 2 u?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*m**2 - 3*m - m**2 + 3*m**2 + 14*m to the form v*m + d + h*m**2 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -342483 from 70711.2899.\nAnswer: 413194.2899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00003247 to 6 dps.\nAnswer: -0.000032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 413409*t - 413408*t - i - 27 = 0, 0 = 2*t - 5*i - 63 for t.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/252 and 11\/10276?\nAnswer: 92484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.03? (a) -33 (b) -0.022 (c) -4 (d) 9 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*x - 24*x = 596. What are the prime factors of x?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 919, 3, 4, 0 in decreasing order.\nAnswer: 919, 4, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/24*2*(-2)\/10?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83 + 512 + 195 = 78*a for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ga when two letters picked without replacement from fbggfafafgfgggggffff.\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(132)*-2*1 + -1*sqrt(132)*2)\/((sqrt(972) + sqrt(972)*-3)*-2)*1.\nAnswer: -2*sqrt(11)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 5*w**2 + 210*w - 675 = 0.\nAnswer: -45, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 17141378 to the power of 1\/4, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -335 - -353.5. Let y = 20.5 - q. What is the closest to 1\/2 in -3, 5, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 22444352 to the nearest integer?\nAnswer: 4738","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -596 or -1305286\/2185?\nAnswer: -596","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10435?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 6, h: 12}. What is prob of picking 3 h and 1 k?\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -7 + (2 + 5 - 19 - -45).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1621*i - 1180*i = -15876 for i.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/20)\/(174\/40)*1512\/2016?\nAnswer: -4\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 615, 2, 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5011 + 13*k**5 - 5011 + 30*k**2 wrt k.\nAnswer: 780*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -28610 - -9784675\/342. Let i = 1\/171 + w. Let g = 0.22 + 0.08. What is the third smallest value in i, g, -5\/4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**3 - 286*k**2\/7 + 112*k + 544\/7.\nAnswer: 2*(k - 17)*(k - 4)*(7*k + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -34 - 1048?\nAnswer: -1081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.02 + 1.98. Let y = -2141.6 - -2142. Which is the closest to y? (a) q (b) -4 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1342 divided by -7?\nAnswer: 1342\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-8)\/(-3))\/4*-3. Suppose c = -r + 4*c - 2, -r - 8 = -c. Let v = a - r. What are the prime factors of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 688134 or 688132?\nAnswer: 688134","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -173\/116 - -36\/29. What is the smallest value in 3, -2\/31, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 7706150, 30824549, 69355220, 123298169, 192653402, 277420925, 377600744?\n\"Answer: j**3 + 7706130*j**2 + 2*j + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-684)\/1881 + 184*(-1)\/(-22)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (87*f + 1026*f**2 - 92*f + 6*f)*(-f**2 + f**2 - 2*f**3 + (f**3 - 2 + 2)*(0 - 2 + 3) + 0*f**3 + f**3 + f**3 - 4 + 2*f**3 + 4 + f**3 - 3*f**3 + 3*f**3).\nAnswer: 4104*f**5 + 4*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 274340 = -5*u. Let w = -19585 + u. Round w to the nearest ten thousand.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3002017 divided by -5?\nAnswer: -3002017\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 23 + 10. Let p = -33 + b. Let h = -0.0012 + p. Round h to three decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**3 + 15*c**2 + 18*c + 11. What is the tens digit of t(-10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11575731 to the nearest integer?\nAnswer: 226","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((246\/15)\/(36\/90))\/(4\/4).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + b = 91598, 2*f - 7*f + 114498 = b. What is the thousands digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -114 + 163. What is the tens digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**2 - 7*t - 3. Let d(b) = -b**2 + 5*b + 1. Let l be d(6). Let a = l - -13. Let f be u(a). Solve f*n = n - 12 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*3*(7\/18)\/(30\/(-90))\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t**2 + 0*t**2 + t**2)*((1 - 2 + 0)*(-5*t + 2*t + 5*t) + 4*t + 2*t - 7*t - t + t + 6*t)*(-12 - 15 + 9 + 3 + 1 - 3 + (2 - 5 + 2)*(0 + 1 - 2)).\nAnswer: 96*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 963591272 to the nearest integer?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 536 divided by 10.\nAnswer: 268\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -d**2\/6 + 676324*d\/3 - 41931127\/6 = 0. Calculate d.\nAnswer: 31, 1352617","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -116 - -98. What is the common denominator of -89\/18 and 4 - (0 - 393\/a)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a day in minutes?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve k = -2*y - 17, -4*k + 5*y + 56 - 261 = -137 for k.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ueeeius. Give prob of picking 2 u, 1 e, and 1 s.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 70 and 196.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**6\/v**4)\/((v\/v**(-1\/6))\/(v\/v**(-3)*v))*((v*v\/(v\/(v**(4\/7)*v))*v*v*v)\/v**(1\/3))**(-3\/2) assuming v is positive.\nAnswer: v**(-85\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 15436 divided by -7718\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -2503*z - 37517. What is s(-15)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 218070228?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 565594095?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from {z: 8, i: 3}.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 704 and 7040.\nAnswer: 7040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -98 - -97.572. Let k = v + 0.028. Let j = 0.095 - -0.105. Which is the third biggest value? (a) j (b) k (c) -4 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 12 = 0, -g + 20 - 8 = -2*n. Which is the nearest to 0? (a) g (b) -0.1 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5895\/(-4716)*48\/90\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:38 AM and 6:16 PM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c = -2*r - 12*c + 1800, 4*r = -5*c + 3594. What is the greatest common factor of 56 and r?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/37 in 2\/9, 114, 1\/99, 5, 0.1?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -96 - -170. Let r = f + 153. List the prime factors of r.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 27*l - 15*l + 73 - 9 - 17*l wrt l?\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t + 8. Suppose t*w - 32 = 28. Does 16 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -12\/41 <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5143 to the power of 1\/2, to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 0*b + 3*b = -11, 0 = 3*d - 3*b - 21. Let a = 0 + d. Suppose -a*k - 62 = -4*p, -p - 5*k + 20 = -1. Is 10 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = -h - 5*i, -1119*h + 1118*h + 41*i - 117 = 0 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 14 + -0.589.\nAnswer: 13.411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -836504.\nAnswer: -1\/836504","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rbrw when four letters picked without replacement from bdrwbddeederddwdee.\nAnswer: 1\/9180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes before 11:24 PM?\nAnswer: 2:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2975 is divided by 230?\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1022.89 + -976. Let d = 3.59 - q. What is d rounded to the nearest integer?\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = q - 5. Let r be (q + 6)\/(1\/3). What is the second derivative of 12*k - 10*k**3 - 3*k**3 + 3*k**r wrt k?\nAnswer: -60*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.1 (b) 6 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*q**2 + 12*q**2 + 4*q**2 + (5*q - 2*q - 2*q)*(-q - 3*q + 6*q))*(-q - 4*q + 3*q).\nAnswer: -12*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the third derivative of m**7\/42 - 5*m**6\/6 + 43*m**5\/12 + 145*m**4 - 600*m**3 + 3260*m**2. Determine k so that j(k) = 0.\nAnswer: -5, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l + 24. Let r be m(-21). Differentiate -25 + 203*a**r - 291*a**3 - 24 + 17 wrt a.\nAnswer: -264*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 divided by -5?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7260 and 660.\nAnswer: 7260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gjgggggggggjgj. What is prob of picking 3 j?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -25 - -24.77. Let g = 0.07 - f. Put g, -0.4, 1 in decreasing order.\nAnswer: 1, g, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9567 is divided by 21?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*k - 11*k - 3*k**2)*(243*k**2 + 5954*k**2 - 1110*k**2) + 3*k**2 - 2*k**4 + k**4 - 5*k**2.\nAnswer: -15262*k**4 - 2*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000635276 to six dps.\nAnswer: -0.000064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 less than 1.1194651?\nAnswer: 0.8194651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g**24*g)\/g)\/g)**(-8\/3) assuming g is positive.\nAnswer: g**(-64)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1499007?\nAnswer: 3, 499669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 10 and 1265468.\nAnswer: 12654680","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -33429\/662 + -1\/331. Let m(s) = -s - 61. Let b be m(0). Find the common denominator of 5\/2*b\/55 and g.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-80)\/(-6)*93\/62. Let c be (t + -21)*2\/(-2). Let w(d) = -6*d**3 + d - 2. Give w(c).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4098*h + 4115*h - 340 = 0 for h.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:30 PM and 1:33 AM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - 1 - 4 - (-3 - 0).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.413 - 41.113. Let c = p - -40. Are c and -2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -21\/514 (b) -2\/13 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 12*x**5 + 3501*x**4 + 2616*x**3 - 873*x**2 = 0.\nAnswer: -291, -1, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 3, g: 5, d: 1, y: 1, k: 2, s: 3}. What is prob of picking 1 p, 1 s, 1 g, and 1 d?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = u + 13 - 10 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 663003?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -78 + -1 + 39\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11112200220012012 - -1?\nAnswer: 11112200220012020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 17105 and 37631.\nAnswer: 188155","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**5\/3 - 256*i**4\/3 - 520*i**3\/3.\nAnswer: 2*i**3*(i - 130)*(i + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 7521460?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) -3 (c) 0.55007\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 241101 and 107156.\nAnswer: 964404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.004 (b) -2\/11 (c) -568\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 5627662 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 60 and 660.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/8 of a litre?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2*r + 2)*(-2 + 1 + 0) + 3*r - 5*r + 0*r - 3*r + 2*r - r - r - r + 4*r + r - 4*r + r + (-4*r + 4*r - 3*r)*(-3 + 0 + 2) to d*r + u and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:57 PM and 10:41 AM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/174)\/((-1021)\/2042).\nAnswer: -3\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 3084?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -659 = -3*n + 3568. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10111222210121 + -21?\nAnswer: -10111222210212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 + -1. Let s be (-1)\/(-4) + 7\/r. Suppose s - 1 = k. 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 367 divided by 56729?\nAnswer: 367\/56729","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -313126 (base 7) in base 6?\nAnswer: -1053344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 16 (b) 2\/5 (c) 2\/7 (d) -5 (e) 322\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 64 and 22?\nAnswer: 704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 - 5. Suppose -4*f + 5*p + 5 = 0, -3*f - 16*p - 25 = -14*p. Sort f, 0, r, -4 in descending order.\nAnswer: 0, r, -4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/5 in -1, 0.3, -4, -160756, -3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -350500 rounded to the nearest one hundred thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/2)\/(-1305*(-26)\/(-936)).\nAnswer: -2\/145","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22300.\nAnswer: 2, 5, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30477 (base 12) to base 16.\nAnswer: f59b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -3*c - 9. Let f(r) = r + 1. Let k(i) = 4*f(i) + q(i). Let j be k(4). Calculate the remainder when 22 is divided by 0 - -3 - (-8 + j).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - i = -2, -543*z = -546*z - 2*i + 4. Let r(p) = -3*p**2 + p - 27 - 2*p**2 + 15 + 6*p**2. Determine r(z).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 250 a factor of 1332250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 13*n - 15*n + 1, -x + 11 = 4*n. What is the nearest to -0.2 in -0.3, n, -3, -352?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 5 - 5*v - v**2 - 5*v**3 + 4*v + 2*v**2. Let o(y) = -y**3 - y**2 + 1. Let t(d) = 4*o(d) - p(d). Suppose 3*w + 5 = 4*h - 12, 0 = -5*w + 5. Give t(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3378 by 2.\nAnswer: 1689","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -17812 divided by -4453?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -25, -176, -323, -466, -605, -740?\n\"Answer: 2*y**2 - 157*y + 130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d = 5*y - 169, -769332*y + 769321*y = d - 91 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -50672\/5 - -10129. Let p = 1201636\/105 + -11444. Calculate the common denominator of p and k.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2 - 2)*(-28)\/(-56). Solve r = -16*z + 47 + 17 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n**2\/4 - 136799*n - 4924683\/4 = 0. What is n?\nAnswer: -547187, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -46*k + 43*k + 426. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 146965277 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 6 - (-7 - 14 - -10).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h*(h*h**(-34)\/h)\/h*h\/h**(-13) assuming h is positive.\nAnswer: h**(-20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-78 + 76)*(-3 + (-732)\/(-246))\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1444 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -183*j + 756*j - 332*j + 15424 = 0 for j.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.21 - -3.21. Let h = -95 + 471\/5. Which is the closest to q? (a) 1 (b) 0.2 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 47, -2, -0.05, 2\/3 in decreasing order.\nAnswer: 47, 2\/3, -0.05, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jxdgjjgjgg. Give prob of sequence gjd.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 1. Suppose 61*n = -i + 64*n + 28, -7*i + 5*n + 68 = 0. Let o(x) be the first derivative of -2*x**3\/3 + 3*x**2\/2 - 4*x - 3. What is i*v(p) + o(p)?\nAnswer: -2*p**2 + 3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**2 + 35*b - 23. Give i(-36).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 - (-34112)\/(-15744)*(9\/(-12))\/(2\/(-48))?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 10, -40, -122, -236?\n\"Answer: -16*f**2 - 2*f + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 93263 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3, 25 in descending order.\nAnswer: 25, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71 = 24*z + 47. Solve z = 2*l - 5 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -5, 4, -6, -3, 621 in decreasing order.\nAnswer: 621, 4, 2, -3, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (37 + 309*n + 221*n - 39)*(0 - 5 + 1)*(-4 - 1 + 4) to the form z*n + g and give z.\nAnswer: 2120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 9.744915 millennia?\nAnswer: 116938.98","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the first derivative of -7*s**5\/90 - 5*s**4\/54 + 2*s**3\/27 - 4*s - 9. Let l(f) be the first derivative of j(f). Factor l(v).\nAnswer: -2*v*(v + 1)*(7*v - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 36, 86, 148, 222, 308?\nAnswer: 406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 8224, 8230, 8248, 8284, 8344?\n\"Answer: w**3 - w + 8224","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 110 + 17 + 292)*(2 + 4*u - 2).\nAnswer: 1672*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, -1\/18, 0.8?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13.7 + -8.7. Let y = 1 - 1. What is the closest to -0.1 in 2\/13, z, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/5076 and -25\/1128.\nAnswer: 10152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16577, 16576, 16575, 16574, 16573?\nAnswer: 16572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -1254*c + 5014. Calculate y(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 714? (a) 5 (b) 1 (c) -1\/2 (d) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**19*b**(-14\/5)*b**48*b*b\/b**(-35)*b assuming b is positive.\nAnswer: b**(511\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2 + 3 - (-4)\/2. Let i(z) = -z**2 - 11*z - 5. Let h be i(-10). Let o be ((-4)\/(-5))\/(6\/15). Solve m + a + 1 = 0, j*m - o*m = h*a + 23 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 78*c + 103*c + 16*c - 4*c.\nAnswer: 37*c + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.23 + 0.17. Let w = a - 0.5. Let x = 0.14 + -0.04. Which is smaller: x or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81*j + 82*j + 4 = 0. Let z(h) = -h**2 + h + 1. Let n(t) = -7*t**2 + 4*t + 3. Calculate j*z(s) + n(s).\nAnswer: -3*s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 348586 and 854?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 122012012 - -12?\nAnswer: 122012101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16\/32*(-6)\/9*-21?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -10*p - 46. Let q be c(10). Let r = q - -192. What is the highest common factor of 115 and r?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -6 + 7 - 1\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.05, -3\/17, 0.745?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**3 - 15*v**2 - 55*v + 4. What is r(-7)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -357*d**2 + 57*d + 402. Let j(k) = -k**2. Give c(j(w)).\nAnswer: -357*w**4 - 57*w**2 + 402","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -24*y**3 - 744*y - 1124*y**2 - 4*y**3 + 16*y**3 = 0. Calculate y.\nAnswer: -93, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -3*j**5\/4 + 6393*j**4\/8 + 33381*j**3\/2 + 58767*j**2\/8 - 66759*j\/4 - 8145 = 0.\nAnswer: -20, -1, -1\/2, 1, 1086","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1854446\/47 or 39455?\nAnswer: 1854446\/47","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 701844*z - 701888*z + 352 for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f\/((f\/f**(5\/9)*f)\/f*f))\/f**(-18))**(-29\/4) assuming f is positive.\nAnswer: f**(-4843\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-32 - 415*b + 212*b + 187*b)*(-1 + 1 - b**2).\nAnswer: 16*b**3 + 32*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 7, v: 1, l: 1}. What is prob of picking 1 v and 1 l?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the third derivative of u**4\/24 - u**3\/6 - u**2. Let t be p(4). Let y = 5 - t. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000003663 to seven decimal places.\nAnswer: 0.0000037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are 1\/3 and -504 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-4*(-2 + (sqrt(12)\/sqrt(6))**2) + 2).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-52)\/6)\/((-2)\/3). Suppose -2*q = 3 - 1, -g + d = -3*q. What are the prime factors of g?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 3*b**3\/5 + 275733*b**2\/5 + 6335310321*b\/5 - 19008412641\/5 = 0.\nAnswer: -45957, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5 and 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the second derivative of 5*n**3\/3 + 8*n**2 + 17*n. Differentiate h(p) wrt p.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/3, -2\/11, 2, -1, 0.1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**2\/7 - 5235*v\/7.\nAnswer: v*(v - 5235)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5740340, -11480795, -17221250, -22961705, -28702160, -34442615?\nAnswer: -40183070","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/10? (a) 124\/5 (b) 0.4 (c) 1.3 (d) -0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -22 + 35. Let q = t - 12. Let n(b) = -3*b - 2*b + 0 + q + 4*b. What is n(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 30281285 and 3106.\nAnswer: 30284391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = 3*u + 14 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*d**4 + 532*d**3 - 28*d**4 - 19*d**2 + 20*d**2 + 12*d**4 + d + 8*d**4 as j + k*d**4 + a*d**2 + v*d**3 + q*d and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 783714*c + 341 = 783767*c + 1560 for c.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q**4 + 27956*q**3 - 167556*q**2 - 251444*q + 391048 = 0.\nAnswer: -2, 1, 7, 6983","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -441 or -439?\nAnswer: -441","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**0\/(y*y\/y**7))\/(y\/(y*y**(1\/4)\/y)*y)**38 assuming y is positive.\nAnswer: y**(-123\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28350?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 20, -0.7, -4, -5?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11 + 14. Let o(z) = -z - z**3 + z**2 + r + 2*z**2 + 3*z**2 + 7*z. What is o(7)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/444 and ((-6)\/(-5))\/((-65 + -11)\/(-4 - 126)).\nAnswer: 8436","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 3*b**2 - 216*b - 177. Let v(k) = -3*k**2 + 213*k + 181. Let m(q) = 5*h(q) + 6*v(q). Let m(f) = 0. Calculate f.\nAnswer: -1, 67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -30.334 * -1.\nAnswer: 30.334","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the second derivative of -7*j**6\/30 + j**2 + j. Differentiate f(r) with respect to r.\nAnswer: -28*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/15? (a) 2 (b) -0.2 (c) -2\/5 (d) -1\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1881555 to the power of 1\/2, to the nearest integer?\nAnswer: 1372","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -101*l**2. Let k be -1*(-2 - -29)*-4. Let i(q) = k*q**2 - 55*q**2 - 55*q**2. What is v(i(b))?\nAnswer: -404*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -d*h**3*v - d*h*v**2 - 4*h**3*v**2 + 4*h**3*v - h*v**2 - 4*v wrt h.\nAnswer: -6*d*h*v - 24*h*v**2 + 24*h*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(170)\/(sqrt(90)\/sqrt(9))*4 + -2.\nAnswer: -2 + 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 11*n**4 - n**3 + 84*n**2 + 4*n - 4. Let i(p) = p**4 - p**2 + p - 1. Let j(s) = -4*i(s) + t(s). What is the third derivative of j(h) wrt h?\nAnswer: 168*h - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the third derivative of 575*p**4\/12 - 503*p**3\/3 + 256*p**2 + 2. Differentiate u(o) wrt o.\nAnswer: 1150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.1 - -0.33. Let r = 0.07 + x. Let f = 68 - 68. What is the third smallest value in f, -3, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 - 13 - 105*q.\nAnswer: -105*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*a = -82*a + 44 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 divided by -24?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a meter in millimeters?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the second derivative of 1303*j**3\/6 - 317*j + 4. Let q(y) = -y. Calculate c(q(g)).\nAnswer: -1303*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -113977220 divided by -4865.\nAnswer: 23428","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 5*u + 212, -2*g + 190 = u + 27. Let c = 58547\/738 + 1\/738. Is c > g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 37476 by 27.\nAnswer: 1388","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 - -6. Which is the third smallest value? (a) 3 (b) -0.5 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**3 - 12*b**2 - 21*b + 10. Let j be d(-10). What is the third derivative of 28*p**2 + j*p**5 - 15*p**2 + 9*p**2 wrt p?\nAnswer: 1200*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17011 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -7419*y**2 - 5*y + 5. Let z(r) = -63084*r**2 - 42*r + 42. Calculate -42*j(l) + 5*z(l).\nAnswer: -3822*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -102577, -102589, -102607, -102631, -102661, -102697?\n\"Answer: -3*c**2 - 3*c - 102571","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5 - (0 + 0 + -1). Suppose -x = -3*s + 6. Suppose 5*g = -5*q + 100, 0 = -3*g + s*g - q - 16. Is 9 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 177829?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q - c + 5, -c - 4 = -q + c. What is the third derivative of -2*r**2 + q*r**6 + 3*r**6 - 2*r**6 + r**2 wrt r?\nAnswer: 360*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -8841 or -8843?\nAnswer: -8841","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -5*o**3 + 35*o - 30 = 0.\nAnswer: -3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the second derivative of -13*l**4\/4 + 101*l. Let p(v) = -3*v**2. Give p(g(t)).\nAnswer: -4563*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 202202220212211 (base 3) to base 14.\nAnswer: 1675799","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -122020303 (base 5) to base 10\nAnswer: -579453","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence erk when three letters picked without replacement from jjrkjejk.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d + 5*n = 51, -11*d + 2*n - 28 = -24*d - 4*n for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 3*p**3 + 107*p**2 - 392*p - 10. Determine v(-39).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 - -5. Let v(o) = -5*o - 27. Let q be v(-9). Let w be (q\/15)\/(1 + 21\/(-30)). What is the greatest common factor of w and l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 4*d = -11*d + 6048. What is the greatest common divisor of d and 792?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3634530 (base 10) in base 16?\nAnswer: 377562","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuufzzffffuffz. What is prob of sequence fz?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6336 and 45?\nAnswer: 31680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/11720 and -89\/2118976.\nAnswer: 10594880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*y - 72*y - 16*y + 13 + 27*y + 35*y.\nAnswer: 13*y + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -3. Let g(l) = l - 1. Let a(n) = -c(n) - g(n). What is the units digit of a(-11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 48*p + 6. Let z(v) = -47*v - 7. Let c(a) = 6*u(a) + 5*z(a). Let g be c(8). Suppose 7*q - 2*q = g. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f + 65*m - 61*m + 82108, 3*f + 5*m = 61533. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 101*t**3 + 6*t**2 + 3*t - 5. Let a be r(-4). Let w = a - -102253\/16. Let m = -25645\/8 - -3196. Find the common denominator of w and m.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2068?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**6\/((x*x*x*x**6\/x*x)\/x*x) assuming x is positive.\nAnswer: x**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 32 - (-30 + (66 - 17)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 10*j - 26. Let k(r) = -21*r + 52. Let v(d) = -6*k(d) - 11*x(d). What is the first derivative of v(a) wrt a?\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 14*t**4 + 2614*t**3 - 6040*t**2 + 1512*t = 0. Calculate t.\nAnswer: -189, 0, 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4035768.\nAnswer: 2, 3, 11, 15287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*l = -35 - 5 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -3*p - 2*p. Let c(y) = -2*y - 1. Let i be c(p). Let h(r) = 6*r + 1. Let t be h(1). Calculate the highest common divisor of t and i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - 7*h - 2*c = 10, 24*c + 58 = -5*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*a**2 - 1812*a + 904.\nAnswer: 4*(a - 226)*(2*a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -800*i**2 + 44793 - 44793 + 767*i**2.\nAnswer: -33*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 352 = l + 153. Are l and 199 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000351477 to 7 dps.\nAnswer: 0.0000351","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.05 * 1.2163829\nAnswer: -0.060819145","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -457*b - 221*b**4 + 649*b**4 - 2516*b + 40*b wrt b?\nAnswer: 5136*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/10*1*8\/(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_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: (-5 - -2) + -1 + (13 - 14) + -8 + 24\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a tonne in grams?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -77770, -77774, -77780, -77788, -77798?\n\"Answer: -t**2 - t - 77768","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -54 - -130. What is the tens digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, z: 1, o: 1, j: 1, m: 1}. Give prob of picking 1 o, 1 m, and 1 z.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*(-57 + 1391\/26).\nAnswer: -21\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.1, 4, 217, 0, -0.8?\nAnswer: 217","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 48.52046ml?\nAnswer: 0.04852046","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 4 = -z. Let g(r) = -3*r - 14. Let y be g(z). Which is the third smallest value? (a) y (b) -3 (c) 2\/3 (d) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 3*g = -4, 36 - 20 = -4*y + g. Is y\/48*3 + 1287\/12 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -43*x - 37*x + 22*x to the form n*x + o and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 5*k + l, -4*k = -5*k + 2*l + 3. Let o be 2\/(-1) + k - -4. Suppose g + 28 = o*w, g + 50 = 2*w + 3*w. Solve -3*b + 4*t + w = -0*t, b + 8 = -t for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1531.5 to the nearest 1000.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 6 (b) -3 (c) 88940\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2\/11 (b) -0.2 (c) 515\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*f - 721 - 119. What is the remainder when f is divided by 18?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 70 + -38. Suppose 24 = f*z - 28*z. Solve 0 = 2*s - z for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -385\/3 + 128. Let t = 3.071 + -0.071. Which is the second biggest value? (a) y (b) t (c) -0.4 (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9 by -2177054.\nAnswer: -9\/2177054","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1011959*l**3 - 3*l**2 - 9654*l.\nAnswer: 6071754","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 94 smaller than 23801\/256?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/t**(2\/9))\/t)\/t)\/t**(1\/31)*(t\/(t\/t**(-6)*t)*t)**(9\/7) assuming t is positive.\nAnswer: t**(-17516\/1953)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*u**3 + 3 - 6081998*u**2 - 2 + 6081998*u**2.\nAnswer: -45*u**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -55, -52, -49?\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*i**2 - 199535980*i + 1990730365728020.\nAnswer: 5*(i - 19953598)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q + 3*x - 8, -4*x - 36 = -5*q + q. Solve -q*n = -8*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/13, -13, 3, 0.3, 2\/17, 251 in descending order.\nAnswer: 251, 3, 0.3, 2\/17, -2\/13, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 3, j: 17}. Give prob of sequence qqqj.\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 52322?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 262\/5*y + 384\/5 + 4\/5*y**2.\nAnswer: 2*(y + 64)*(2*y + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 134 + -139. Which is the nearest to 2\/5? (a) 1 (b) 2 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - 1 = -13 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the second derivative of 1837*m**4\/6 - 12761*m. Let r(k) = k. What is z(r(j))?\nAnswer: 3674*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 5859, 5738, 5401, 4740, 3647, 2014, -267?\n\"Answer: -18*l**3 + 5*l + 5872","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -13538 or -1.5?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the third derivative of -4*t**2 - 1\/90*t**5 + 0 + 1\/72*t**4 + 0*t + 0*t**3 + 1\/360*t**6. Factor q(r).\nAnswer: r*(r - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 56 and 16?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 160920\/(-22350)*35\/(-4)?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.67 in -1, 1, -373\/102?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 + 64330603?\nAnswer: 64330602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the first derivative of -v**3\/12 + v**2\/2 + 21*v\/4 - 95. Factor c(i).\nAnswer: -(i - 7)*(i + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 + 47?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 255 and 177266225?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**2 + 309*n - 13. Let q(c) = c**2 + 155*c - 8. Calculate 3*a(f) - 5*q(f).\nAnswer: -2*f**2 + 152*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 186521 to the power of 1\/4, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 6, -2, -3.7, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*q + 7*q + 2 = 0. Suppose -4*z = 8, -4*m + 25 - 11 = 3*z. Solve -m = -s - 4*s, -3*a - q = 5*s for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88117 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4*((-22)\/4 - (-6 - -2)). Let r be (2*(-2)\/(-4))\/(-2). What is the nearest to 0.1 in 5\/3, s, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 961902 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -6*f**3 - f**2. Let n be z(-1). Let j(l) = -2*l**3 - l**2 + l + 2. Let h be j(-1). Solve n*b + 19 = x, b = -h*x + 6*b + 18 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31666.\nAnswer: 2, 71, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -159294730 divided by -15929473.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 954237.8ug in tonnes?\nAnswer: 0.0000009542378","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the third derivative of 155*w**8\/168 - 7*w**4\/12 + 19*w**3\/6 + 348*w**2. What is the second derivative of o(b) wrt b?\nAnswer: 6200*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4158 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 7480?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 113 + (-14 + 172 - 241)\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 104 divide 422760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/2 - 2\/(-1). Let t(h) = -h - 7. Let o be t(-5). What is the nearest to o in -0.2, -5\/6, b?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 - -24. Let b = 11 - g. Sort b, 5, 0.3 in increasing order.\nAnswer: b, 0.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -40 times 11808103\nAnswer: -472324120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z + 0*z + 0*z)*(11 + 14 - 9).\nAnswer: 16*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 86 + -89. Let t be (-5 - -540)\/5 - q. Suppose -3*s + 689 = t. What is the tens digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -4*d**4 + 9494088*d**3 - 5633616178564*d**2 + 11267203874880*d - 5633597190400 = 0.\nAnswer: 1, 1186760","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -793\/3 + 267. Is a at least 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the second derivative of 0 + 0*g**2 - 2*g - 1\/4*g**4 + 0*g**3. Let x(i) = 0*i**2 - i**2 - i**2. Calculate a(x(h)).\nAnswer: -12*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-4\/3)*o)**46 assuming o is positive.\nAnswer: o**(-46\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 45 + (-70 - -48) - (9 + 2)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/252*-8*-2?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -2 + 4 + 1206880*i - 1206881*i. Let h(t) = -t**3 - 3*t**2 - t + 2. Let g be h(-3). Give s(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 41, 205, 495, 917, 1477, 2181?\nAnswer: 3035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/52*(-137)\/((-6987)\/204).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1081*g - 841 = -2130*g + 1078*g for g.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = o - 1. Let n(t) = -2*t - 6. Let k be n(-5). Suppose 0 = -3*x - x - 4*p + 24, -o*p + k = 0. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -140 - -144. Let u = -265 + 277. Which is smaller: u or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 210964 divided by -4\nAnswer: -52741","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 874\/1589459405 - -807977686413751\/291389234881030. Let t = -1\/8333 + l. Let b = -6803 - -67933\/10. What is the common denominator of t and b?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 357*x - 8 = 359*x, -3*x = -5*h + 37 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -2*o + 12. Let c(z) = -8512*z**2 - 56*z + 336. What is -c(r) + 28*u(r)?\nAnswer: 8512*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -5*p**2 - 13*p + 4. Let v(t) = 8*t**2 + 24*t - 7. Let w(d) = -7*o(d) - 4*v(d). Let a be w(2). Solve a*r = 3*i - 4*i + 12, 4*r = i + 18 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -3517, -14404, -32547, -57940, -90577?\n\"Answer: i**3 - 3634*i**2 + 8*i + 108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3586*q + 142914 - 428730 + 142910 + 142904)*(-3*q**2 + 5*q**2 + 0*q**2) to h + m*q + v*q**3 + c*q**2 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(117) + -5 - -4*(sqrt(117) + 1)) + 3)*-6.\nAnswer: -90*sqrt(13) - 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**2 + 8*t + 14. Let p be w(-6). Factor -5*q**4 + 76*q**p + 160 + 10*q**4 - 55*q**3 + 152*q + 134*q**2 - 472*q.\nAnswer: 5*(q - 4)**2*(q - 2)*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 11*q + 49 = 0. Solve -4*s = 2*w - 14, -3*s = -q - 8 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -25562.0435 to the nearest 10.\nAnswer: -25560","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -21973\/37 at most as big as -593?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j + 4*x - 7, x = 3*j - 2*x - 15. Let s(y) = y**2 + y - 1. Let f be s(-2). Suppose f = j*c - 14. Solve 5*m + 3*p = 22, -m - 5*p = m - c for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -74 (b) -5 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -203205 by 13547.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 4*h + 10, d - 5*d - 18 = 2*h. Let b be -2*((-1)\/d - 1). Let l = 18 - 13. Put b, -5, l in descending order.\nAnswer: l, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -103 (b) -2 (c) -3 (d) 45.21 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 3 = -i, 2*t - 3*i = i + 12. Solve 20 = -4*g - t*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 116.7 - 99.7. What is the closest to -3 in 0.4, r, 0, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((198\/(-84))\/(-33))\/(-1*(-3)\/(-18)).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -14*p - 3. Let s(n) = -27*n - 5. Give 5*k(g) - 3*s(g).\nAnswer: 11*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 1. Let r(t) = -t + 4. Suppose 192*d + 13 = 179*d. What is d*r(i) + 2*f(i)?\nAnswer: i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -36870 - -36879. Solve -b*n + 722 = 641 for n.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -17390 + 17395. Solve z = -l + 3*r + 25, 2*r + 15 = l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.08355039216+-0.0872\nAnswer: -0.00364960784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 23751585 and 195?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + k - 105 = 0. Let f(o) = -4*o**3 + 2*o**2 - 8*o + 11. Let w be f(5). Let i = -339 - w. What is the greatest common divisor of k and i?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 190804 is divided by 2892.\nAnswer: 2824","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 117 a factor of 2455713?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 46621788 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 6*m**2 - 17*m - 57. Let n(g) = g**2 + g - 1. Let y(f) = 7*n(f) - z(f). Give y(-22).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 2*r - 4 + r)*(-181 - 170 + 374).\nAnswer: -23*r + 46","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11342?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35230 - 11745 - 11741 - 11739 - 611*a.\nAnswer: -611*a + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -20, -j = 5*f - 0*f - 25. Is 56\/j - 8\/40 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 244134 is divided by 120547.\nAnswer: 3040","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 288 divide 1286822?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 5172160.22 rounded to the nearest one hundred thousand?\nAnswer: 5200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -177 - -180. Let z(h) = 3. Let v(n) = -n - 4. Calculate j*v(b) + 4*z(b).\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 23\/7 or -12080?\nAnswer: 23\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12 + -28. Let i be 5 - 3 - p\/(-9). Which is smaller: i or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 259562?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3320 - -10210?\nAnswer: 1340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ho when two letters picked without replacement from hoaae?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 11, c: 1}. Give prob of sequence ddd.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-2 + 2 + -6*(sqrt(19) + sqrt(1216)*-1 + sqrt(1216) - 3*(sqrt(19) - -2*sqrt(19)))*5)*-5.\nAnswer: 1200*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 165, 166, 161, 144, 109?\n\"Answer: -l**3 + 3*l**2 - l + 164","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*g - 0*g - 2*u, -5408*u + 5393*u - 104 = -4*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 8424 divided by 162\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-506)\/(-498) + (0 - 1). Let n = r + -16699\/996. Calculate the common denominator of n and 2\/1 + (-18)\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - -46399.405?\nAnswer: 46392.405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46313 is divided by 1052?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -7 - 1 + 2*w - 5*w - 6. Let k be j(-6). Solve 5*q = k*q - 2 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 7) in base 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**2 + 4*p + 51. Let f be v(-5). Let c(m) = 9*m - 2. Let y(d) = 3*d - 1. Let k(s) = 3*c(s) - 8*y(s). List the prime factors of k(f).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 279*c**3 - c**5 - 279*c**3 - 2*c**5 + 0*c**5 + 0*c**5 + (c**4 + 0 + 0)*(4*c - 3*c - 3*c) + 0*c**2 + 0*c**2 + c**5.\nAnswer: -4*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(343) - (sqrt(343) + 0))*3 - sqrt(343)) + 1*(sqrt(343) + sqrt(343) + (sqrt(343) + 1*sqrt(343) - sqrt(343))) - (sqrt(343)*-1*6 + -4))**2.\nAnswer: 448*sqrt(7) + 21968","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 - 79 = -u - 2*u for u.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.6 + -0.1. Let j = -23.9022 - -0.0022. Let u = 24 + j. Which is the nearest to u? (a) 4 (b) -4\/9 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13*42\/(-182) + (-9)\/(-2)*-2\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*r = -50*r + 36500. Suppose 17*x - r = 7*x. Is x a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 541296 a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = h + 281, 6*u + 3*h = u + 445. What is the remainder when u is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = h - 0. Find the first derivative of 3*u - 3 + 7 - h*u wrt u.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -39*i + 1011. Let d be w(26). Put d, -47, 0, 5 in descending order.\nAnswer: 5, 0, d, -47","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-3)\/4)\/(12\/(-8)). Let v = 7\/10 - f. Which is the smallest value? (a) 2 (b) 0.02 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-1)\/2)\/(11\/198). Let x(w) = -4*w - 29. Let l(f) = -f - 7. Let s(v) = 26*l(v) - 6*x(v). Determine s(a).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/7, -41\/8, -1, 3\/5 in decreasing order.\nAnswer: 3\/5, -3\/7, -1, -41\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 158 a factor of 9244?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 105\/22952 and 62\/163533.\nAnswer: 1308264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -846 - -846. What is the closest to -2\/3 in -2\/11, f, -0.12?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 50*v**3 + 1299508260*v**2 + 1559409858*v + 467822952.\nAnswer: 2*(v + 25990164)*(5*v + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a second in milliseconds?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/((-3)\/(-6)*3). Let y be u\/(-4*2\/(-12)). Suppose 23399997 = -2*h - 3*f, y*h + 45200224 - 10100219 = 5*f. Round h to the nearest one million.\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1282.7 rounded to the nearest 10?\nAnswer: 1280","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -151*d = 28*d - 488 - 3450 for d.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 8847 - -2756492\nAnswer: 2765339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 942 a factor of 224024556?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -2*j**2. Let s(b) = 10*b**2 - 4. Let g = 40 + -32. Let q(i) = 1 - 11*i**2 + 31*i**2 - g. Let k(p) = 4*q(p) - 7*s(p). What is k(l(t))?\nAnswer: 40*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1851, 3824, 5925, 8154, 10511, 12996, 15609?\nAnswer: 18350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14 + 19. Let c(j) = -j**2 + 6*j + 1. Let z be c(v). Calculate the highest common factor of 42 and z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + (-10 - -5) - -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j + p - 175, 2*j + 70 = 4*j + p. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20191 + 62207 = 25*j - 51934. What is the closest to -2\/3 in 0.1, j, -4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*t + 4*t - 5*t)*((0 + 2 - 4)*(0*t + 0*t - 2*t) + 2*t + t - 2*t + 2 - 2 + t - 4243*t - 3243*t + 5815*t)*(3 - 2 - 2) to d + u*t**2 + v*t and give u.\nAnswer: 1665","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12643 = -5*o + 3*f, 3*o + 3*f - 7587 = 6*f. What are the prime factors of o?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 divided by 6?\nAnswer: 155\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 732443087?\nAnswer: 732443087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 33121968?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the second derivative of f**3\/3 + 6*f + 17. Let k(t) = 907*t. Calculate o(k(y)).\nAnswer: 1814*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 370369934?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4068, 4175, 4276, 4371, 4460, 4543, 4620?\nAnswer: 4691","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3219*l**3 - 517*l**2 - 2*l - 3.\nAnswer: 19314","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -2*v**3 + 6*v**2 + 12*v + 10. Suppose 0 = -18*u + 10*u + 216. Calculate the remainder when t(-4) is divided by u.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.09 - -2.09. Let b = 30 - -6. Let a = 35.96 - b. Which is smaller: a or s?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 5 + (-38 - -38).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 - -1.5. Let t(x) = x**3 - 3*x**2 - 4*x - 6. Let m be t(5). Suppose -9*k - m = -k. What is the third smallest value in b, -0.2, k?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 7*r**2 - 2*r - 5. Suppose -8 = -2*m - 2*m. Let f(i) = m*i**2 + 2 + i - 4*i**2 - i**2. What is -5*f(z) - 2*k(z)?\nAnswer: z**2 - z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -27840973*-0.4\nAnswer: 11136389.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wbbuwububbugbuububb. What is prob of picking 2 b?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 24*(-1 - 415864\/16 - 15\/3). Round h to the nearest one hundred thousand.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*f = 91*f + 274*f - 11580 for f.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 5.85 (b) -0.5 (c) 68.8 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16 - -47. Let a(v) = -p + 19 + 6*v + 12. Let n(j) = 5*j**2. Determine a(n(z)).\nAnswer: 30*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - -2 - (103 + -107 + (-2 - -28)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((r*r**4)\/r)\/r**8)**16)**(-43) assuming r is positive.\nAnswer: r**2752","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - -6 - -37 - 33?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1752 + 879 + 873 + 8*h**2 - 7*h**2 + 3*h**2.\nAnswer: 4*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 8*h - 25. Let v be j(9). Suppose -2*y - v = -3*s, -5*s + 4*y = y - 79. Which is bigger: s or 15?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 23 - 784523?\nAnswer: -784500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g - 2*t + 45, g + 27 = -2*g + 3*t. Let i = -6 - g. Solve 2*u - 7 = -i for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 22100\/19950 - (-12)\/342. Let -8\/7*t + i*t**3 + 2\/7*t**4 + 6\/7*t**2 - 8\/7 = 0. Calculate t.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -m**3 + 22*m - 15*m**4 - 22*m + (2 + m - 2)*(-m + 3*m**3 + m) in the form r*m**3 + j*m + c + v*m**4 + h*m**2 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.03 + -1.97. Let a = -949.6 + 1085. Let l = a + -135.1. What is the biggest value in -0.4, p, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21 times -183445\nAnswer: -3852345","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 581268889 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -5 - -4 - (-10 - (-3 + -1))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1620 and 285.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -25*b + 14. What is the units digit of p(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**2 + 23*x - 72. Let l be q(17). Let r(c) = 31*c - l*c - 8*c. Let h(z) be the second derivative of z**4\/2 + z. Determine h(r(v)).\nAnswer: 294*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0078422 to three dps.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00002526 rounded to 5 decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 9) in base 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 e when two letters picked without replacement from {e: 3, n: 10, a: 1, s: 2, i: 1}?\nAnswer: 15\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -52*31386.\nAnswer: -1632072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.065 + -0.015. What is the third biggest value in 1, j, 0.4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 19 - 17 = 0. Let l(n) = 95*n**2 + 3*n + 3. What is the units digit of l(c)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/7 (b) 75 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 12\/8*4\/3. Suppose b - 4*b = -3*j - 30, b + 5*j + y = 0. Let s(p) = -p**2 + 10*p - 3. Calculate the smallest common multiple of s(5) and b.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ldlolodoool. What is prob of picking 2 d and 1 o?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -23 - 26 + 599*h + 71 - 23 in the form a*h + j and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 4*v - 3. Let p(k) = k - 1. Let i(y) = 2*o(y) - 7*p(y). Calculate the remainder when 2\/(2\/4*1) is divided by i(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 5078?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*x**4 + 1210*x + 1213*x + 3*x**2 + 1216*x + 1213*x - 4854*x - 18 to the form r + v*x**4 + w*x + i*x**2 + c*x**3 and give v.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 669*j - 21*j**2 - 669*j + (-j**2 + 3*j - 3*j)*(5 + 0 - 4 + (2 + 3 - 3)*(0 + 3 - 1) - 3 - 1 + 6 + 3 + 0 + 0).\nAnswer: -31*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000003119676 to 7 dps.\nAnswer: 0.0000031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 2*k - 3 = 1, -3*c - 2*k = -20 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4964 - 5108 = -24*t for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**22*w\/w**(1\/7))\/((w\/w**(15\/4))\/(w*w**11\/w)) assuming w is positive.\nAnswer: w**(1025\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.08441 less than -528.41?\nAnswer: -528.32559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*f - c + 42 = 0, -54*f + 5*c = -55*f - 59 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.419922 rounded to 3 dps?\nAnswer: 0.42","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 70 divide 560711986?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 8, -3*c - 3*q = -45 + 15. Suppose -4*o = -c*o + 6. Suppose -o*f = 2*u - 99002, -2*f + 50065 + 15938 = 3*u. Round f to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 70977545.\nAnswer: 5, 14195509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in fourty-five eighths of a millimeter?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -619000 to the nearest one hundred thousand.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12121650?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -214921 to the nearest 1000.\nAnswer: -215000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the third derivative of -v**4\/24 + 2082*v**2. Let o(l) = -4*l + 17. Determine 5*m(d) - o(d).\nAnswer: -d - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (0 + sqrt(112)*-2*-4)*-3*-2)**2.\nAnswer: 1152*sqrt(7) + 258057","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -663139, -1326268, -1989383, -2652478, -3315547, -3978584?\nAnswer: -4641583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b = -t - 25, -141*b = -4*t - 138*b - 32 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 154927*z + 2 - 151660*z - 4.\nAnswer: 3267*z - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(3\/7)*l)**(3\/16)*((l*l\/((l**(-5)\/l)\/l))\/l)\/l*l*l*l*l\/((l\/(l**(1\/6)\/l))\/l*l) assuming l is positive.\nAnswer: l**(1585\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 less than 6164664065?\nAnswer: 6164664064.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**3 + 1228*c**2 + 24968*c + 38. What is g(-20)?\nAnswer: -122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -197*w**2 + 1176*w + 12. Determine d(6).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*z - 17*z = o, 0 = -o - z - 6 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(396) + 5 + -1*sqrt(396))**2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 2164*o - 2153*o. Sort -202, -2, o.\nAnswer: -202, -2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 3*w**5 + 4257*w**4 - 90927*w**3 - 298293*w**2 - 306792*w - 103680 = 0.\nAnswer: -1440, -1, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3.28 - 0.28. What is the second smallest value in 21, i, -3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**1*l)\/l)**(-34)*l**(1\/3)\/l*l*l**(-1\/3)*((l**1*l)**(-7\/4))**(-2\/65) assuming l is positive.\nAnswer: l**(-4413\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 3*b + 8 = 0, 2*b = 5*o - 2 - 0. Suppose 3*x = 3*s - 21, -3*s + 11 = 4*x - 2*x. What is the closest to 1 in x, 3, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/26)\/((-20)\/(780\/(-3))).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*w + 13 = 3*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n*n**(-2)))**(1\/5)*n**1\/(n*n*n**(-5)))**29 assuming n is positive.\nAnswer: n**(638\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8\/27 - 67\/135. What is the nearest to -0.3 in 1\/6, k, -1\/6, 1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/(-2)*(-8)\/(-12). Suppose -r = -4*n + 15. Suppose p = 4*p - n*h + 40, 4*p + 4*h = -16. Is -9 > p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*f + 0 - 8 = -5*g, -30 + 23 = 5*f - g - 3*g for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.08 * -11.43\nAnswer: -0.9144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -2*v**2 + v + 2. Determine w(3).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -209 by 2.\nAnswer: -209\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lya when three letters picked without replacement from lllllllyllalllllalla?\nAnswer: 2\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 686719 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 43*q. Let c(f) = 2135*f**2 + 4*f + 4. Determine c(l(h)).\nAnswer: 3947615*h**2 + 172*h + 4","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: -3305877 * -2\nAnswer: 6611754","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = -9*w + 6*w. Let u = 14 + w. List the prime factors of u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2759.9411 from -5.\nAnswer: 2754.9411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1.476 - 9489\nAnswer: -9487.524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -7\/269, 0.3, 22\/259 in decreasing order.\nAnswer: 0.3, 22\/259, -7\/269","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -2*w**2 + 22*w - 36. Let o be r(8). Let p(f) = f**3 - 11*f**2 - 12*f + 16. Give p(o).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1805, 3609, 5413?\n\"Answer: 1804*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 134584 is divided by 1190.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(108) + sqrt(3) + sqrt(21)\/sqrt(112) + -1 - (-1*sqrt(2592))\/(sqrt(18)\/sqrt(12)))**2*-6.\nAnswer: -1125*sqrt(3) + 422019\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 7) + 7 - (-6 + -2 + 2)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 5*j**4 + 3*j**3 - 15*j**2 - 7*j + 8. Let s(x) = -5*x**4 - 2*x**3 + 15*x**2 + 8*x - 7. Let z(t) = -3*d(t) - 2*s(t). Factor z(h).\nAnswer: -5*(h - 1)**2*(h + 1)*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 6*q - 7 = 2*q, 4*q = 8. Let y be 3\/9*0 - p. Let i be (y - 0) + (-2)\/2. Which is the biggest value? (a) -5 (b) 2\/9 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -7*f + 47. What is n(4)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v + 1. Let i(g) = -7*g - 8. Let h(f) = -i(f) - 6*r(f). Let s be h(-2). Solve s*n + n = 1 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) -24\/41 (c) -1\/4 (d) 2 (e) 2\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l = -10 + 6 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2748.9 - 2749. Put -1\/3, -61\/9, x in descending order.\nAnswer: x, -1\/3, -61\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -4*n**2 - 13266392*n - 10999822293604 = 0.\nAnswer: -1658299","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6)\/((-4)\/((-24)\/(-9))). Suppose -3*h = -2*h - 4*p + 19, z*h - p = -1. Solve -i + 5 = h for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(22)\/(sqrt(539)*3))**2 + 1.\nAnswer: 443\/441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 - -1. Suppose -o*l = -4 - 8. Solve -3*u = -l*d + 7 - 22, 3*u - 3 = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 15 = 21. Suppose l - 20 + f = 0. List the prime factors of (-72)\/(-7) - l\/28.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**3 - 7*c**2 + 5*c - 35. Let m(y) = -y**3 - 5*y**2 - 13*y - 29. Let d be m(-4). Let r be k(d). Which is smaller: 1 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 8*u - 15 = 4*u, 0 = w - u + 2. Put w, -1, -4, -5 in descending order.\nAnswer: w, -1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -38 + 22. Let j = -3 - r. Let g(h) = -21*h + j*h + 7*h. Give g(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(68)\/sqrt(4))**2*-1 - sqrt(187)\/(sqrt(99) - sqrt(11))).\nAnswer: -14 - sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -25 + ((2 - -1) + -12 - -13).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5165 + 95102?\nAnswer: 89937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 + -7. Let h be (-423)\/(-27) - f\/6. Solve 3*s = 5*n + 8, -3*s + n - 2*n - h = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6*(-4)\/(-60))\/(28\/(-10)*-1)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times 29497?\nAnswer: 58994","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o + o + 30 = -4*i, -3*o = -6. Which is the third biggest value? (a) -2\/9 (b) i (c) -10 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1632857261 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*n + 315 = -0*n. Let g be (6\/n)\/(2\/(-28)). What is the greatest common divisor of g and 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -23261 or -23253?\nAnswer: -23253","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 6) to base 12\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 51293 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/(-51)*(3\/(-7) - (-5358)\/14805).\nAnswer: -1\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-11)\/11)\/(-16)*2480)\/((-5)\/2).\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*l**2 - 17 + 43*l**2 + 17 to the form q*l**2 + g + j*l and give q.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 153825 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2\/59 + -63\/118. What is the biggest value in -5, p, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4277*m + 4276*m + 5 = -2*u, 0 = 5*u - 4*m + 11 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 742.7959 meters in centimeters?\nAnswer: 74279.59","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 163 is divided by 60.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 12*g**2 + 2*g - 5. Let r be j(4). Let w = 344 - 342. Suppose -w*y = -7*y + r. Does 11 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 684 - 321. Let x = r + -363.01044. What is x rounded to three dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.234 or 2?\nAnswer: -0.234","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 - -3. Let h be 165\/(-114)*2 - (-13 + 10). Do h and q have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:31 PM and 6:17 AM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 6*m**2 + 5*m + 2. Let p be d(-1). Let i be 160\/(-48)*p\/(-5). Let 1 + 5\/4*a + 1\/4*a**i = 0. Calculate a.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**2 + 2*m + 12. Let u be r(0). Solve -5*f + u = -13 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000616156 to four decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) -2\/5 (c) 0.5 (d) 0 (e) 2352\/43\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y - 121 = 5*n, 278*y = 129*y + 136*y + 5*n + 337 for y.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u - 2*k + 2, -4*k - 3 = 5*u + 3. Let i = 2110 - 14746\/7. What is j in 2\/7*j**5 + 0 + i*j**u + 8\/7*j + 26\/7*j**3 + 12\/7*j**4 = 0?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/23? (a) -0.01 (b) -0.1756 (c) 2 (d) -1\/3 (e) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:03 AM and 11:17 AM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.8 + 3.1. Let x = -1.3 + v. Which is the nearest to 1? (a) 4\/3 (b) 1\/4 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 6*z**2 - 5*z + 18. Let s(f) = -8*f**2 + 5*f - 20. Let j(c) = -5*o(c) - 4*s(c). Let i be j(-5). Solve 8*l + i = -9 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -159616333\/2293564 - 699\/25204. Let n = k - -932\/13. Let l = 28257\/10 - 2829. Calculate the common denominator of l and n.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -324, -322, -320, -318?\n\"Answer: 2*n - 326","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -19 - -8. Suppose -4*b - 37 = i + 23, -5*i = 3*b + 45. Let x = s - b. Calculate the highest common factor of 4 and x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -3*s + 12. Suppose u + 5*z = 13, -s = -5*z - 3. Suppose -12*f + 8*f + u = 0. Calculate the smallest common multiple of 18 and f.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2340108 divided by -12.\nAnswer: 195009","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4877988 - 4888880.949. Let q = 10888 + i. Let h = -0.051 + q. Which is the third smallest value? (a) h (b) 0.5 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4\/5, -29, -3\/2, -1.2?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -1862*f**2 - 307*f - 4. Let a(t) = 2792*t**2 + 462*t + 6. Let s(c) = 5*a(c) + 7*y(c). What is the second derivative of s(z) wrt z?\nAnswer: 1852","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 - 2)\/2*5. Let w be (-18)\/27*(75\/2)\/i. Sort w, 1, -5 in decreasing order.\nAnswer: w, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (273\/(-104))\/7*5*(-6)\/270.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (7 - 10) + (-1719)\/(-21). Is s greater than or equal to 80?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000172546 to six dps.\nAnswer: 0.000173","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:28 PM and 11:40 PM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -632556 = -14*g - 186334. What is the ten thousands digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -3*j**4 + 5*j**3 + 8*j**2 - j - 1. Let o(p) = -p**4 - p**3 + p + 1. Let c(l) = -i(l) - o(l). Factor c(a).\nAnswer: 4*a**2*(a - 2)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 2*l**2. Let f(z) = 10 - 6*z - 26 + 16 - 4*z**2. Determine f(i(v)).\nAnswer: -16*v**4 - 12*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33423?\nAnswer: 3, 13, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) 5\/3 (c) -0.1 (d) 451\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -507.2 - 486. Let x = k + 993. Let h = -7 - -7.3. What is the nearest to -1 in 2\/15, x, h?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 7\/2 of a microgram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = 2*d - 5. Let p = -1 + d. Suppose 0 = -4*a - 6*k + k + 15, p = a - 4*k + 12. Solve -5*u + 5*t - 5 = a, -3*t - 22 = 5*u - 3*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 277*i + 80*i - 98*i + 216*i to the form s*i + r and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 19376406 and 756.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2840\/7 + -406. Let m = 3.6 + -5.6. Suppose -w + 5 = 3*s, 2*w - 3*s = 7 + 3. Which is the second biggest value? (a) u (b) -3\/5 (c) m (d) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/((5\/1150*-2)\/(19\/(-285)))?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -5*y - 6. Let i(m) = -2. Determine 2*i(p) - u(p).\nAnswer: 5*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -672 < -679?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0*(16\/6)\/8. Suppose s = -h + 2 - 3. Let v = h + 23. Solve -3*z - v = -7 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1235 (base 7) in base 13?\nAnswer: 29c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.2926 + -0.5.\nAnswer: -2.7926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -588395 * 45.\nAnswer: -26477775","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (7 - (3 - 0)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5787526 - -0.128.\nAnswer: 5787526.128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-5) - 6\/(-10). Let d = -2.8 - -0.8. Let y = d + 5. Which is the third biggest value? (a) z (b) y (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (13 + 9)\/(0 - 1). Let m(n) = 6*n**3 + 0 - 11*n**2 - 4 - 2*n**3. Let r(j) = j**3 - 3*j**2 - 1. Give q*r(l) + 6*m(l).\nAnswer: 2*l**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*j - j + 2*j)*(-2*j**2 + 21*j**2 - 559*j**2) as h*j + z + a*j**3 + o*j**2 and give a.\nAnswer: -540","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i + 80. Suppose 0 = -35*s + 37*s - 74. Let w(x) = s - 2*x + x - 37 + 3*x. Give w(n(c)).\nAnswer: 2*c + 160","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 3*l - 38. Determine z(2).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(99) + -2) - (-1 + sqrt(396) + 4)) + 3.\nAnswer: -10 + 9*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 60\/48 + (-11035)\/(-1276). Let v = c - 204\/29. Calculate the common denominator of v and 12\/(-42) - 314\/(-140).\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4002*1.\nAnswer: -4002","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 70 + -50. Suppose -3*o = -0*r + r - 6, 4*r - 3 = -5*o. Suppose 0 = 4*t - o - 5. Solve t*q = 4*b + n, -q - 2*q = -5*b - 27 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (23556\/(-102) - 31\/527)*(0 + -1) is divided by 75?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-132)\/(-3*(-1)\/(-2)). Suppose 0 = 5*b + 2*o - 223, 0 = -2*b - 3*o + o + l. Suppose 5*w = -b + 10. Round w to the nearest 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 3\/47 and 14 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -68727 * -0.5.\nAnswer: 34363.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -5 - 1. What is the third smallest value in -35, n, 1, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**2 + j + 8. Let u be y(0). Solve -5*c = -3*c + u for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9958 + 8*w**3 + 10020 - 2*w**3.\nAnswer: 6*w**3 + 62","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (148\/2072)\/(1\/20)?\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the third derivative of q**4\/24 + 3*q**2. Suppose -v = -3*v. Let r(f) = -8*f + 0 + v. What is r(n(d))?\nAnswer: -8*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -258 (base 9) to base 14\nAnswer: -115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -12341 rounded to the nearest one thousand?\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 579, 1\/33, 0 in descending order.\nAnswer: 579, 1\/33, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -117 divided by -32885?\nAnswer: 117\/32885","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01177160035 to 4 dps.\nAnswer: 0.0118","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**2 + 5*k - 3. Let d be u(3). Suppose 0 = -p - d + 7. Let o(l) = -l**3 + 4*l**2 + l + 2. Give o(p).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -54\/16915 and -37\/459889.\nAnswer: 39090565","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*j**2 - j**2 + 3*j**2)*(20*j**3 - 38*j**3 + 21*j**3) - j**5 + 3*j**5 - 11*j**5 + (-j + j + 2*j)*(-4*j**4 + 5*j**4 + 0*j**4).\nAnswer: -16*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1101101 (base 2) in base 6?\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*7.4.\nAnswer: 44.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*(2 - 0) + (-38)\/(-8)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -5, 69004, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -70, -13, -3, 20, 2, -2 in descending order.\nAnswer: 20, 2, -2, -3, -13, -70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 7 = -x, 0 = -3*x - 6*r + 4*r - 5. Does 4 divide 33\/4 + x\/(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -141*h + 40 = -140*h. Let v = h + -44. What is the second biggest value in -7, -2\/9, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h**3\/2 + 106373*h**2 - 1702025*h\/2 + 744639 = 0. Calculate h.\nAnswer: -212754, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = b + b, 3*g - 4*b = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 - 4573a954?\nAnswer: -4573a958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -135*q - 1735 + 378 - 2703 = 5795 for q.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 + -6. Let p = 7 + j. Let r = p + -6. Which is the nearest to 1? (a) -5 (b) r (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 241643168 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 2*x**2 - 5*x - 1. Let p be -5*(-5)\/25 - (-4 + 3). Give f(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes after 8:49 PM?\nAnswer: 5:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/(-15))\/(69\/(-46))?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -16926, -16920, -16914, -16908?\n\"Answer: 6*m - 16932","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 + -13 - (0 + 0 + -3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 2*o + 3. Let m(b) = b**2 - 4*b - 7. Determine 6*m(y) + 13*p(y).\nAnswer: 6*y**2 + 2*y - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + k = 5*p, 3*k = 2*p. Suppose -2*s + q + 191 = k, 2*s - 4*q = 4*s - 206. What are the prime factors of s?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -185*r - 12502 = -204*r. What is the greatest common divisor of 14 and r?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(847) - (1*sqrt(847) + -4)**2) - ((-2 + sqrt(847)*3)**2 + -2)) + 1.\nAnswer: -6761 + 33*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 22 + 14. Calculate the lowest common multiple of 30 and y.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7066 is divided by 1583?\nAnswer: 734","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1655415?\nAnswer: 3, 5, 36787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*m = 10 + 40 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1045024448?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 14*f + 3. Let y(q) = 13*q + 3. Let r(g) = -4*m(g) + 5*y(g). What is the units digit of r(6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6420.502kg in micrograms?\nAnswer: 6420502000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**2\/5 + 27666*n\/5 - 38752.\nAnswer: 2*(n - 7)*(n + 13840)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16 - 6. What is the least common multiple of 5\/(-10) + c\/4 and 52?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 103*k = 88*k. Put -4, k, 3, 30 in ascending order.\nAnswer: -4, k, 3, 30","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0*(-4)\/(2*-2). Suppose w = 2*c - 4*c. Let k(d) = -4*d + 98. Let v be k(24). Solve s = -v*b + 2, -5*b + 10*b + 2*s - 3 = c for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the third derivative of 0*y**4 - 254*y + 7\/4*y**5 + 0 + 0*y**3 - y**2. Let x(m) = -m. Give h(x(s)).\nAnswer: 105*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*g - 32 = 1. Solve -9 - 6 = g*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 12 + 3 + 11 - a - 3. What is the tens digit of q(11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (333\/(-12))\/((-93)\/1736). Calculate the highest common factor of w and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 22 - -13013?\nAnswer: 13101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 45 (b) -2\/29 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -24? (a) -4 (b) -7 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 169*f - 15 + 163*f + 17 - 341*f.\nAnswer: -9*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 - -1.5. Let o = h - 0. Let b = -10.32 + 10.82. Put 3, o, b in decreasing order.\nAnswer: 3, b, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide ((-185892)\/(-112))\/((-6)\/(-8))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:51 PM and 5:03 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-33 - (86 + 4 - -41)) + 31?\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 20, -1327\/3, -10 in decreasing order.\nAnswer: 20, -10, -1327\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -5*b + 13. Let w = 7 - b. Solve 3*x + 1 + 11 = w for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6060\/(-59994))\/(25\/45).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -23, 4, -0.1, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**2 + 10*v + 25. Let j be r(-2). Put -1\/2, -0.03, j in decreasing order.\nAnswer: j, -0.03, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3630161851 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*g + 2*g**3 + 0*g + (-34136 + 34136 - 406*g + (g - 2 + 2)*(-1 + 0 + 3))*(-3*g**2 + g**2 + 0*g**2).\nAnswer: 810*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 217 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the third derivative of -5*w**4\/24 + 14*w**3\/3 + 2*w**2 - w - 1. Let u(k) = 9*k - 55. Calculate -6*u(f) - 11*v(f).\nAnswer: f + 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 3\/1301?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-28)\/(-6))\/((-34)\/(-18) + -3 + 2)\nAnswer: 21\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -5*x - 7. Let n be f(-6). Suppose -2*i + n = 3. Does 5 divide 4\/(-10) - (-134)\/i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-b + 0*b - b)*(0 + 1 + 0) + (-b - 2*b - 3*b - 7*b)*(3 - 2 - 17) as o*b + d and give o.\nAnswer: 206","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(2\/5)*a**(3\/2)*a**(-3\/4)\/(a**2\/a))**(-9) assuming a is positive.\nAnswer: a**(-27\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 43649500 rounded to the nearest 100000?\nAnswer: 43600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**3 + 8*f**2 - 2*f + 10. Let d(i) = -2*i**3 - 16*i**2 + 4*i - 20. Let r(s) = -3*d(s) - 7*m(s). Is r(-9) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(-4\/11)\/u)\/u*u\/u**(-37) assuming u is positive.\nAnswer: u**(403\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 60\/(-50)*10\/(-28)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j - j + j**2)*(-j + j - j) - 5 + 5 - j**3 + (3*j + 2*j**2 - 3*j)*(2*j - 5*j + j) + 0*j**3 + 4*j**3 - 2*j**3.\nAnswer: -4*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11153?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (90 - -1)*(-1 + 3). Suppose 1590 = 2*x - b. Suppose -x - 118 = -4*z. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-274)\/2055 + (1 - 2\/(-15)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1249.418 - 365082.\nAnswer: -363832.582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3097261 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81746 is divided by 93.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 69273039.\nAnswer: 3, 11, 127, 16529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (11 - -6) - -7 - (-7 - (-25 + -41))?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(7) + (3*sqrt(28))\/sqrt(4) - (sqrt(49) - (sqrt(49) - sqrt(1225)))\/sqrt(7) - ((sqrt(70)*-3)\/sqrt(10) - sqrt(224)\/sqrt(8))).\nAnswer: 24*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -57462 times -1?\nAnswer: 57462","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 159928\/13 + -12302. Let x = 8 - 11. What is the third smallest value in 5, 0.5, u, x?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is two fifteenths of a week in minutes?\nAnswer: 1344","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 53399 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 73180 divided by 2\nAnswer: 36590","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 103956 is divided by 565.\nAnswer: 561","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 652510536.\nAnswer: 2, 3, 1019, 26681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4206*r**6 + 4828*r**2 - r?\nAnswer: 504720*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9891875 is divided by 9891751.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*k - 8*k = 12. Let o(w) = -w**3 + 5*w**2 - 2*w - 2. Determine o(k).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -61.2 and -48037759902?\nAnswer: 48037759840.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 19433 - 19437. Which is bigger: y or -340\/109?\nAnswer: -340\/109","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 44286 by 11.\nAnswer: 4026","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*h + 3*h - 3*h)*((h - h - h)*(0*h**2 + 0*h**2 + 2*h**2) + h**3 - 4*h**3 - 6*h**3) in the form t*h + g*h**2 + q + b*h**3 + y*h**4 and give y.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 638061*r - 26*r**3 - 319030*r - 319031*r + 10*r**3.\nAnswer: -16*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 18*p**3 - 6*p**2 + 11*p - 21. Let a be n(4). Calculate the greatest common factor of 13 and a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((5 - 3 - 3)*(3 + 0 - 1) + 23 + 59 - 20)*(-2*s - 3*s + 3*s) + 1 + 4*s - 2*s - 4*s.\nAnswer: -122*s + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 6342 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1258429782?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(19)*1*6 + (sqrt(19) - ((1 + sqrt(19))*-4 + sqrt(19))**2)*-3.\nAnswer: 75*sqrt(19) + 561","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -279 + 437 + 1678 = -306*m for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 104 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(432)*3 + 3.\nAnswer: 3 + 36*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/((-4)\/(-2)) + -20*(-304)\/1040.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40*0.21.\nAnswer: 8.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3318, -3301, -3288, -3279, -3274?\nAnswer: -3273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*sqrt(1573)*-2)**2 - sqrt(1573))*5.\nAnswer: -55*sqrt(13) + 786500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2 + 1)*-1*5. Let d = -4 + 13. Suppose 4*h = -4*y - 34 + 98, -y + 2*h = -16. Solve -d = z*i + y for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*v - 40 - 7 + 11 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 330405 is divided by 47143?\nAnswer: 404","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.482964 centuries in months?\nAnswer: 6579.5568","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k - 6*k - 24 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwbbbbbwbwbwwwbwwwnb. What is prob of picking 4 w?\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8.9 + 8.89999836. Round b to 7 decimal places.\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-24)\/(-36) + 28\/(-6). Let v be -70 - (7\/g - 6\/(-8)). Let m = -39 - v. List the prime factors of m.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -109 - -103. Let o(l) = -2*l**3 - 12*l**2 - 5*l + 2. Let g be o(v). Suppose 5*k + 0*k - 1440 = 0. Calculate the highest common divisor of g and k.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5250.6 rounded to the nearest 1000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -760*k + 22. Let q be g(-11). Suppose -5*d - q = 6*d. Let s = d - -1393. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2100?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -185392 by -269.\nAnswer: 185392\/269","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - g + 14 = 6*s, 11 = 4*s + g. Suppose 3*w - 3*i - 9 = 0, 0*i + 11 = w - s*i. Suppose x - 7 = -3*k, x + 9 = -k + 2*k. Sort x, w, 3 in decreasing order.\nAnswer: 3, w, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 divided by 1?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -394246817.9 to the nearest 1000000.\nAnswer: -394000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the first derivative of -m**3\/3 + 13*m**2\/2 - 11*m - 1. Let x = -84 + 92. Let a be i(x). Calculate the highest common divisor of a and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes before 3:23 PM?\nAnswer: 3:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xkk when three letters picked without replacement from {k: 9, x: 1, m: 4}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/(-12)*-1 + 71256\/32. Let u = l - 1178. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(216)*5)\/sqrt(12))\/(((sqrt(108)*2)\/sqrt(3))\/sqrt(6)).\nAnswer: -10*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -423 - -693. Find the common denominator of 31\/18 and (915\/(-80))\/((p\/(-8))\/5).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24\/8*3*1\/6\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13468587.\nAnswer: 3, 11, 19, 21481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 28252535?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 65\/3, 3, 2, -1\/2, 6.\nAnswer: -1\/2, 2, 3, 6, 65\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -308583 divided by 308583\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ejn when three letters picked without replacement from eenojny?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate c**2 - 109*c*l**3 - c*l**2*v - 2*c*v + 4*l**3 - 352*v wrt c.\nAnswer: 2*c - 109*l**3 - l**2*v - 2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence js when two letters picked without replacement from sjjiccjscsjsscs?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/180 and -32\/333.\nAnswer: 6660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -1\/11 (b) 0.0993 (c) 6 (d) -2 (e) 1\/5 (f) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -3 + sqrt(68)*2 + 3 + sqrt(68))**2 - (sqrt(68)\/(sqrt(4) - sqrt(32)\/(sqrt(8)*2)) + 0 + 0).\nAnswer: -62*sqrt(17) + 637","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-14)\/(-49) + 33\/7. Let g = m - 3. Let w(z) = g*z + 3*z - 6*z + 2*z + 4. Give w(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, h: 2, c: 4, p: 1}. What is prob of picking 1 h and 3 c?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9029?\nAnswer: 9029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 10, 4, 0, 24 in ascending order.\nAnswer: -5, 0, 4, 10, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -425 + 427. Solve -f = 4*l - 18 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12921a (base 14) to base 6\nAnswer: 21413520","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 - 0)*3836\/198513.\nAnswer: -4\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h = -2*l + 60, 3011*h = 3016*h + 5*l - 60 for h.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 25605625 (base 7) in base 15?\nAnswer: 312c01","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(13) + sqrt(637)) + 3 + sqrt(1300).\nAnswer: 3 + 34*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 52\/6 - (-8)\/(-12). Suppose 2*n + 5*w + 4 = 0, 4*n - d = -2*w - 0. Solve -q = 3*g - 4*q, n*g + 2*q = -15 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/(-10)*(-110)\/(-33)*-1\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -10 + 35*d - 21*d + 2 + 53*d. What is the remainder when 233 is divided by g(1)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*-6.33.\nAnswer: 0.633","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5949 + 5949 + 133*g)*(-3*g + g**3 + 3*g) to the form y*g + r*g**3 + c*g**4 + u + p*g**2 and give c.\nAnswer: 133","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 3*t - 33 + 104, 3*s - 62 = 4*t. Calculate the remainder when 528 is divided by s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 4*v + 31 = 2*g, 0 = -3*v + 15. Suppose 7*u - g*w + 3656 = 2*u, 5*u - w = -3662. What is u rounded to the nearest 100?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 16) to base 5.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1619.014383 rounded to 1 decimal place?\nAnswer: 1619","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the first derivative of -t**2\/2 - t + 1. Let z be u(-6). Suppose 3*g + 23 = -z*q + 71, 0 = 3*g - 3. Does 4 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/142 and -71\/20.\nAnswer: 1420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 397012?\nAnswer: 2, 7, 11, 1289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 115862545.\nAnswer: 5, 23172509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 16 by 3119.\nAnswer: 16\/3119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 - -5. Let s = -4.85 + f. What is s rounded to 1 decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -3*p + 230. Let a be p\/20 + 3\/(-4). Let x = 12 + -12. Solve 5*i + 30 - a = x for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21169931 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8081\/35 - 199\/35. Let p = a - -238. Let h = 65\/12 - 8\/3. Calculate the common denominator of h and p.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 greater than or equal to -1720?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*5\/(-280)*-6*-4.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 66*k - 1. Let r(f) = -33*f. Let i(c) = -4*a(c) - 10*r(c). Let y be i(-9). What is y rounded to the nearest one hundred?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*v**3 - 4*v**3 + v**4 + 764 - 764 + 0*v**3 - 19*v**2 to b*v + j*v**2 + l*v**3 + x*v**4 + p and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Is 24558847 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2376 + 5717. Let g = p - 30112\/9. Calculate the common denominator of g and -46\/205.\nAnswer: 1845","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6717 + 5802. Is -915 less than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) -2 (c) 33 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-17 - (-12)\/12)\/(-4). Let f(d) = -d**2 - 7*d + 2. Let h be f(-6). Solve -h = 4*y - 6*b + 2*b, -6 = v*y - 2*b for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 252 - 9*b - 252 + 10*b.\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5246.74 - 4733.2. What is u rounded to the nearest 100?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**3 - 297*h**2 - 4*h + 1188.\nAnswer: (h - 297)*(h - 2)*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 81 = r, 4*r + 2*b - 181 - 131 = 0. Calculate the remainder when r is divided by 30*(-7 - 25\/(-3)).\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 + -1 - 7 - -1) + 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13440 and 75.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1111*g + 639*g - 60*g - 1186*g.\nAnswer: -1718*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 26\/13 - (-2 + 2). Suppose -u + 171 = -0*g + o*g, g - u = 93. List the prime factors of g.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 2\/11 (b) -30 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 0 + 0)*(-55*k - 23 + 23) to x + s*k and give s.\nAnswer: -165","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2*(3\/2 + -2). Suppose -2*c = 5*o - 3, w = c + 3*o - 0. Let v be (-4)\/14 + (-300)\/(-21). Solve 3*t - j = 9 - 25, 0 = 2*t - c*j + v for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -13067, -26238, -39363, -52442, -65475, -78462, -91403?\n\"Answer: 23*z**2 - 13240*z + 150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8064938 is divided by 620365.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -33 - -63. Let c(a) = a**3 + 3*a**2 + a - 2. Let f be c(-2). Suppose f = -3*u - 0*u + n. List the prime factors of u.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*f**2*p - 2*f**2 + 12*f*p - 44*p wrt f?\nAnswer: 4*f*p - 4*f + 12*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -3*g + 48. Let j be d(14). Suppose -7*y - 6 = -j*y. List the prime factors of (-1767)\/y - 55\/22.\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 224*o + 26*o - 268*o.\nAnswer: -18*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**3 + 2*o**2 + 2*o - 3. Let r(d) = -d - 5. Let h be r(-7). Let v be f(h). Solve -q - v = 3 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1813, 1812, 1811, 1810, 1809, 1808?\nAnswer: 1807","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.73 * -1162.\nAnswer: -848.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 117 and 1962?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1879993671?\nAnswer: 3, 17, 36862621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/5 of a kilogram in grams?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3923147 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2542 + -6850. Is c at most as big as 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/7, 2, -1.8 in increasing order.\nAnswer: -1.8, 1\/7, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o - 2 = -4*c, -31 = 2*c + 4*o - 17 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 4*w - 1 - 5)*(-2 + 2 + 2*w**3).\nAnswer: 8*w**4 - 2*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.5, 3, -7\/19?\nAnswer: -7\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 14a950c3 - -5?\nAnswer: 14a950c8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 5851.71 to the nearest ten.\nAnswer: 5850","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*y + 0*y**2 + 0 + 0*y**4 - 2\/7*y**5 + 2\/7*y**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1162464241?\nAnswer: 911, 1276031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18733 and 1048?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**3 + 66*g**2 - 1665*g.\nAnswer: 3*g*(g - 15)*(g + 37)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = 3*d + d. Let n = d + 19. Let k = -0.8 + -0.2. What is the nearest to k in n, -1, -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1399 - -288.\nAnswer: 288.1399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 5*a = 3*p - 7, -4 = -4*a. Solve 4*x + p = 2 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 + 7 = -8*s. Let 27*f**2 - 10*f**2 - 7*f**2 - 7*f**s = 0. Calculate f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*y + 77 - 98 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 20353 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-8)*12)\/9.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + 3. What is the second derivative of 6*x + 2*x**4 + x**5 - 2*x**t + x**5 wrt x?\nAnswer: 40*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 416 divided by -32.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3813098?\nAnswer: 2, 1019, 1871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**3 + 4*f**2 - 4*f + 4. Let m be (-48)\/9 + 3\/9. What is w(m)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1924*a + 9744 = 4071*a - 1944*a for a.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 154*h**2 - 30*h + 247. Is n(14) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -4 - 2. Suppose i = 2*o + 2, -3*o + 1 + r = 0. What is the second derivative of 0*k**4 - k**i + 4*k**5 + k**4 + 2*k wrt k?\nAnswer: 80*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 - 3. Let v(g) = -32*g + 181. Let t(b) = 13*b - 74. Let n(y) = -22*t(y) - 9*v(y). Calculate n(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4062 in -0.4, 1\/6, -3, -8\/31?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -47, -5, 4, -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + 0*z - 3*z + 5*z + (7*z - 5*z + 2*z)*(0 + 0 - 1).\nAnswer: -2*z + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3637 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.1 and 2713.\nAnswer: 2713.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**3 - 2*l**2 + 14*l - 3. Determine u(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*g**2 + 0*g**2 - 7*g**2 + (1811 - 1811 - 297*g**2)*(1 - 4 + 1) to z*g + a*g**2 + n and give a.\nAnswer: 590","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the third derivative of 0*k**4 + 0 + 0*k + k**2 + 0*k**3 - 1\/60*k**5. Factor g(l).\nAnswer: -l**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:42 PM and 4:07 AM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3796 and 1327651.\nAnswer: 949","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/1*(-205)\/(-451)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -39608 + 0.027.\nAnswer: -39607.973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o - 98 + 34. Suppose q - 348 = -5*b, b - 4*b = -3*q - 216. Suppose g - b + 9 = -f, 4*f - o = 0. Is g a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 288 (base 9) to base 5.\nAnswer: 1432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 at most as big as 100923?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.04? (a) 0.07 (b) -1\/3 (c) -45\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1598 + 2498. What is the highest common divisor of 175 and w?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sbbb when four letters picked without replacement from sbsbsqsqssbbbssbbsss.\nAnswer: 77\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w + 2*n - 17, 2*w = -4*n - 3 + 25. Let l(a) = 40 - 38 - a**w + 9*a - 5*a**2 + a**2. What is l(-6)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1121.86 + -1131. Let i = q - -0.04. Let a = i + 9.100053. Round a to 5 decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13066896?\nAnswer: 2, 3, 272227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o + 0*o + 2*o)*(2*o**2 + o**2 - 4*o**2) + 81*o**3 - 64*o**3 - 90*o**3 + 2*o**3 + o - o.\nAnswer: -74*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s = -3*y - 5, 3*s - 22 = -2*s - 2*y for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 + 2 - (-1 - 2). Let u be 12*(1 + 6\/(-8)). Factor -3*c**3 + 5*c**3 + c**u + 3*c**5 - 3*c**2 + 15*c**d + 6*c**5.\nAnswer: 3*c**2*(c + 1)**2*(3*c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence beb when three letters picked without replacement from {e: 11, n: 3, b: 4}.\nAnswer: 11\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 73 and 117457.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 + 40 + -84 + -81?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1148 + 1572. Suppose 3*b = -7*b + u. What is the tens digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 7) to base 8\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 9\/10 of a litre?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10 - -9.5. Let q = 0 + 1. Let d be q\/6 - (1 + -1). What is the closest to -0.1 in d, 5, g?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*k - 98 = -2*k - 68 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3\/52 - 17\/156. Let d = 66 - 65.7. What is the third smallest value in 2, p, d?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 199 divided by -73354?\nAnswer: -199\/73354","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes after 11:30 PM?\nAnswer: 4:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -453, -7613, -19089, -34875, -54965, -79353, -108033, -140999?\nAnswer: -178245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -18, -44, -76, -114?\n\"Answer: -3*b**2 - 17*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -16*a**2 - 1992*a + 3796. What is i(-126)?\nAnswer: 772","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13657.\nAnswer: 7, 1951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gyfq when four letters picked without replacement from gyqlfqiliy.\nAnswer: 1\/1260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + -6 + (-1 - 4).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 824320 = -76*a + 831236 for a.\nAnswer: 91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16.4 + 16. Which is the second biggest value? (a) q (b) -2\/9 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + ((5*sqrt(625)*3 + sqrt(625))*-2)\/(3*(sqrt(500) - -3*sqrt(500))*2))**2.\nAnswer: -8*sqrt(5)\/3 + 56\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, -303, 34, -1 in descending order.\nAnswer: 34, 9, -1, -303","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 38 - 68. Let b = o + 30. Factor -a**4 + 0*a + b + a**3 - 1\/4*a**2.\nAnswer: -a**2*(2*a - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13335 + 8457. Let r = j + 131726\/27. Find the common denominator of r and 73\/102.\nAnswer: 918","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the second derivative of -9*v + 0*v**2 + 11\/6*v**3 - 2. Let i(h) = 3*h**2. What is i(r(o))?\nAnswer: 363*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*r - 10*r + 2110000. Round r to the nearest 100000.\nAnswer: -2100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*h - 6 = -18*h. Suppose -2*g + 6 = h*t, -t = 3*g + t - 8. Factor -1\/4*f**g - 1\/4*f + 1\/2.\nAnswer: -(f - 1)*(f + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - 3*x + 15 = 9, -x = -1 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the first derivative of -3*k**2\/2 - 234. Let i(q) = -5*q**2 + 5*q + 3. Let j(r) = r + 1. Let w(f) = -i(f) + 5*j(f). Calculate w(m(x)).\nAnswer: 45*x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (14 - 21)*(-3)\/7.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 998360 to the nearest one hundred thousand.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.42247 + 2.2\nAnswer: 2.62247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -5361 (base 7) in base 6?\nAnswer: -12453","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -9 + (83 - 18)\/5. Suppose 0*c = 4*c. Sort r, c, -3, -2.\nAnswer: -3, -2, c, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (303\/(-2325))\/((-24)\/285). Let o = y - -3\/1240. Find the common denominator of ((-1)\/(-16))\/(9\/(-444)) and o.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 66618 divided by 11103.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = w + 6 - 1, 5*w + 3*u = -7. Let a(p) = 7 + 7 - p - 4. Let k be a(7). Put k, 0, w in ascending order.\nAnswer: w, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (5 - 5 - 3)*4\/((-12)\/295) and 4779?\nAnswer: 23895","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3286 divided by -245.\nAnswer: 3286\/245","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/7 (b) 1\/7 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = 4*d - 296, u - d - 478 = -4*u. Suppose -104*s + 303368 = -u*s. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of (-19 + 83)\/8*4838?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 4*a**2 + 4*a + 3. Let n be (1 - 2) + (3 - -7). Let x = -11 + n. What is g(x)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -167670501.\nAnswer: -1\/167670501","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000815169698 to six dps.\nAnswer: -0.000082","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Total of -345 and -150.88.\nAnswer: -495.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 6 + 5)*(1 - 1 + 4*v).\nAnswer: 48*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = 3*h + 1, -4*a = -16*h + 12*h + 36. Solve h*y = 10, -4*d + 3*d - 2 = -3*y for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 705 + -705. Let m(o) be the first derivative of -3 + 0*o**3 + f*o**4 - 1\/5*o**5 - 2*o + 0*o**2. Find the first derivative of m(i) wrt i.\nAnswer: -4*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 20\/42 + 1\/(-2). Let j = -23\/84 - p. Let v = 538 + -537. Which is the second biggest value? (a) -4 (b) j (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23089, -45601, -68115, -90631, -113149?\nAnswer: -135669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13, 77, 187, 343?\nAnswer: 545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(5\/6)*x*x*x**(-9))\/(x**17\/((x*(x*x**(-3\/2))\/x)\/x*x)) assuming x is positive.\nAnswer: x**(-68\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1404, 1922, 2438, 2952, 3464, 3974, 4482?\nAnswer: 4988","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 495634471.\nAnswer: 495634471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*i - 41 - 104 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 830, 813, 782, 737, 678, 605, 518?\nAnswer: 417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 + -4. Suppose -n*h + 20 = 2*s, 4*s + 5*h - 42 - 3 = 0. Let u(m) = -m - 3. Let k be u(-5). Solve -k*r + 6 = -s*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and 1\/169249 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1005200 - 2?\nAnswer: 1005154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 50457?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**3 + 20*f**2 + 19*f + 12. Let b be d(-19). Let w = 1\/4524 - 187751\/22620. Find the common denominator of 198\/b - (-1)\/4 and w.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 5*n**2 + 105*n + 106. Let w be u(-1). Let c(r) = 11*r - 2. Let x(y) = 351*y - 65. Determine w*x(b) - 195*c(b).\nAnswer: -39*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -62*o**2 + 159.\nAnswer: -124*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(220)\/(sqrt(20)\/sqrt(5)))\/(sqrt(20)\/sqrt(4)*2).\nAnswer: sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -169\/5770140 and -109\/2036520?\nAnswer: 34620840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xb when two letters picked without replacement from cbccccccccccxxxxxbcc.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 910?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 + -1. Solve -2*n - n + 15 = i for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 172480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 13.6489372 to one dp.\nAnswer: 13.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggig when four letters picked without replacement from {i: 12, g: 7}.\nAnswer: 35\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -47827602*s*z**2 - 58536442*z**2 wrt s.\nAnswer: -47827602*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - (0 - 0)) + 103 + -185 + 91?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 41 - (10\/(-4) + (-5)\/10). Let c = v + -32. Suppose c - 8 = y. Solve 3*n = -n - y for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, 0.2, 2, -3\/7, -7 in decreasing order.\nAnswer: 2, 0.2, -3\/7, -7, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -2 + 8 + 12*r**2 + 4*r**2. Suppose -4*h + 2 = 18. Is j(h) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2151 + -152724\/71. Let r = 447\/497 + w. Which is the third biggest value? (a) 5 (b) r (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5164621247 to the power of 1\/8, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -8) + -1 + -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 617\/5 - 123. Let s = -31 - -32. What is the nearest to s in g, -2, -4\/5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 241739740173 + -1038.\nAnswer: 241739739135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:07 PM and 7:32 PM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:45 PM and 2:10 AM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 + (-3)\/(4 - 1). Suppose 0*y - 4*y - 24 = 0. Let i(f) = f**3 + 7*f**2 + 7*f + 5. Let a be i(y). Do z and a have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*v**5 - 34519*v**3 + 257241*v**2 wrt v?\nAnswer: 120*v**2 - 207114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -67*b. Let h(w) be the second derivative of -2*w**3 - w**2 + 60*w + 20. What is t(h(l))?\nAnswer: 804*l + 134","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pzzplplpzhppl. Give prob of sequence llz.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wbhzbzwhwwwfi. Give prob of picking 1 h, 1 f, and 1 w.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 5*y + 37 = 0, -68 = -5*c - 2*y - 0*y. Suppose 0 = 2*k - 4*r - 18, -3*r = k - r - 5. Let l be ((-2)\/24)\/(k\/c). Is l smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and -4 - (-2 + -11 - 1).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + 8 + (-5 - -3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*l + 0*l + l)*(-1 + 6 - 1) - 3*l + 2*l + 0*l + 75 - 75 + 12*l.\nAnswer: -5*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 - -102540666927.\nAnswer: 102540666926.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1048860 (base 12) to base 6.\nAnswer: 150033400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 86564 is divided by 28842.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 1\/4, -2\/7, -3 in descending order.\nAnswer: 1\/4, -2\/7, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 4*t**3 - 5*t - 3. Is o(4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**3 + 11*z**2 - 16*z + 97. Let x be s(10). What is the highest common divisor of x and 1147?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + 2. Suppose -2*i + 6*i + 12 = z*j, -4 = -j + i. Find the second derivative of -v + 4*v - 24*v**2 + 9*v**j + 5*v wrt v.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 225295 is divided by 15.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 5 + 2)*(2*y - 2*y + y)*(346 - 346 - 118*y).\nAnswer: 118*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 27*a + 35*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -43 - 31 + 0*x + 0*x - 5*x**2 + 57 as z*x + l + v*x**2 and give l.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/5 and -44\/235?\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 12531 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -20*r*t**2 - 41*r*t + 26*r + 3349084*t**2 wrt r?\nAnswer: -20*t**2 - 41*t + 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -384, -165, 498, 1827, 4044, 7371, 12030, 18243?\nAnswer: 26232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-705)\/7755)\/(2*1\/(-4))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = 3*z - 4 - 2, -z = 2*t - 4. Let j(o) = o + 2. Let w be j(t). Suppose l - 2*l + w*v = 5, -5*l + 115 = 3*v. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1309.104521 and 7436.\nAnswer: 8745.104521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -219749, -443520, -667291, -891062, -1114833, -1338604?\n\"Answer: -223771*k + 4022","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = 1 - 25. Let r(o) = -3*o**2 + 2*o - 2. Let m(x) = -19*x**2 + 13*x - 13. Let t(k) = b*m(k) - 39*r(k). Let q(w) = 3*w. Calculate t(q(c)).\nAnswer: 27*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/((-6)\/(-4)*(-36)\/189). Determine g so that 9*g**3 - 5\/2*g**4 - 3\/2 + k*g - 12*g**2 = 0.\nAnswer: 3\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 + 3. Let u = -201 - -219. Suppose u*d = 5*d + 26. Solve 4*t + x = -d*j - 6, -3*j - 5*t = 6 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -684 = 3*j - 696 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13993?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jynymdmfmdyn. What is prob of picking 2 d?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a - 2. Let q be o(-5). Let h(y) = 41*y**2 - 8*y + 20. Let j(f) = 27*f**2 - 5*f + 13. Let l(t) = -5*h(t) + 8*j(t). Is 23 a factor of l(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 294179923 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*n + 8087 = -6159. Let o = n - 586. What is the remainder when o is divided by 32?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the second derivative of -f**9\/7560 + f**5\/60 + f**4\/4 - 3*f. Let v(r) be the third derivative of p(r). Differentiate v(a) with respect to a.\nAnswer: -8*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 4\/9 (b) -2\/383 (c) -0.118\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 7*h + 40 = 0. Suppose -5*v = -n - 5, h*v - 9*v + 5 = 0. Suppose 2*o - 3*o + 39 = n. What is the remainder when o is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + 0*z - 5*z = 8, -4*z - 10 = -s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.2038 - 805.0962. Round h to the nearest ten.\nAnswer: -810","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 538851236?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the second derivative of 0 + 0*j**4 + 11\/3*j**3 - 26*j + 11\/14*j**7 + 0*j**6 + 0*j**5 + 0*j**2. Find the second derivative of r(w) wrt w.\nAnswer: 660*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1038083 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 0 + 2 + 8\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*q**2 + 2958*q**3 + 29 - 16*q**2 - 2*q + 5*q**2.\nAnswer: 2958*q**3 - 2*q + 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 - -2) + 7 + 3 - -6?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12 + 16. Suppose -j*t = -3*p - 25, t = -p + 6*p + 19. Let w = 7 + p. Solve -r - 2*r + 9 = 0, -10 = 2*z - w*r for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s - 3*q - 30, q - 6*q = 25. Let v(u) = u**2 + 2*u + 1. Let g(f) = -f**2 - 3*f. Determine s*v(b) - 2*g(b).\nAnswer: -b**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 3 - 3*r + r + 2. Suppose -351*b + 357*b = -60. Let c be ((-44)\/(-8) - 6)*b. Determine q(c).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-352)\/(-192) - 7)*(0 + -6). Sort 0.7, 3, v in decreasing order.\nAnswer: v, 3, 0.7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1849 + 1847. What is the closest to d in 2\/5, 2\/3, 23, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*(k\/(k**21*k))\/k)\/(k*k**(-9\/7)))\/(k**(-18)\/k*k*k**(-16)) assuming k is positive.\nAnswer: k**(93\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 13\/4 of a micrometer?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -2*c + 4. Let h be u(-4). What is the greatest common factor of h and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from {w: 4, u: 2, y: 4, l: 5, r: 2}?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**3 + 8*d + 17. Let s be x(0). Suppose -s = 62*k - 79*k. Does 19 = k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22413346 is divided by 5693?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 5*y - 52551 - 34778, 2*y + 2*p = 34922. What is the ten thousands digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 7*q**2 - 237*q - 30. Let k be t(34). Solve -5*s = 5*z - 8*z + 9, 0 = -k*z - 2*s - 14 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 68.59708g to micrograms.\nAnswer: 68597080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b = 10*b - 108. Suppose 3*c = -c - 5*g - 10, -5*g = -4*c + 10. Put b, -3, c in increasing order.\nAnswer: -3, c, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 407429554*u**5 - 1116108942*u**2.\nAnswer: 24445773240*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/(-504))\/(6\/36)*-2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/10 of a centimeter?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/32 and -95\/24?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4.03 + -4. Let u = q + -0.030228. Round u to 5 decimal places.\nAnswer: -0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10234029, -10234031, -10234033, -10234035?\nAnswer: -10234037","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -6*q**2. Let m(b) be the second derivative of b**4\/6 - 10*b. What is c(m(n))?\nAnswer: -24*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n - 3*i + 17, 2*i - 3 - 3 = 0. Suppose 6*h = 2*h - 4*o + 52, 31 = n*h - 3*o. Solve -5*f + h = -3*v, -3*v + 2*v - 10 = -5*f for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12.845 + -23.6.\nAnswer: -36.445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k**4 - 22785*k**3 - 45595*k**2 + 22785*k + 45590 = 0. What is k?\nAnswer: -2, -1, 1, 4559","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + k = -2*k - 3, -4 = -2*l + 4*k. Let f(d) = -d**2 + 2. Suppose 4*w = 8 + 4. What is the remainder when w is divided by f(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a\/a**4)*a*a**(-1\/2)*a)\/((a*a**1)\/a)**(-1))**46 assuming a is positive.\nAnswer: a**299","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**2 + 9*j - 16. Let f be a(-10). Let z be (f\/7)\/((-11)\/539). What is the greatest common divisor of 14 and z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -178499*s + 178892*s = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 - -9. Solve n + r = 3 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 4*s - 83928 = 2*v, 9*s + 111904 = 4*v. What is the tens digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 1989 = -3*d, 3*u - u = -4*d + 2654. Let q = 1062 - d. List the prime factors of 2\/5 - q\/(-5).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -431 divided by 4387.\nAnswer: -431\/4387","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.878225t in milligrams?\nAnswer: 2878225000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + v - 1 = -r, -4*r + 5 = -v for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t**2 - 8*t**2 + t**2)*(0 + 1 - 3)*(2*t**2 - 10*t + 10*t - 1)*(1 - 1 + 2).\nAnswer: 40*t**4 - 20*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 744570293?\nAnswer: 1381, 539153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vh when two letters picked without replacement from {v: 2, p: 10, h: 3}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -127\/96 and 27\/1700.\nAnswer: 40800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 - (56 + -43 - (10 + 11 - -1))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -144 (b) 1\/2 (c) -428\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -185*j + 5454*j - 79 + 79 as z*j + a and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9350 = -5*i + 2*i + 4*b, -5*i = -b - 15555. Suppose 9*v - i = 7*v. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 2*b**3 + 49*b**2 - 134*b - 7. Calculate u(-27).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 2*j**3 + 8*j**2 - 28*j - 17. Give r(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -52, -2, 115, -5 in descending order.\nAnswer: 115, -2, -5, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:05 AM and 12:16 PM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-5)\/(5\/2) - 35. Let i = k - -75. Suppose l = 3*l - i. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.8 * 11958\nAnswer: 21524.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11 - 13. Let o = s - -9.2. Let t = o - 7. Put t, 5, 3\/5, -1 in increasing order.\nAnswer: -1, t, 3\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -18258 + -1098?\nAnswer: -19356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5814 + 5844. Solve 799*i - 794*i = m for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = s + 38 + 55, 5*s - 3*t = -453. Let g = s + 60. Is (-18)\/g - 504\/(-10) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 21\/9 - (-2 - (-21)\/9). Suppose -v*r + 162 = 2*p, -r - 4*p + 45 = -51. Is r a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 divided by -98.\nAnswer: 11\/98","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 223 = 377. Let r = -72 + w. Let p = r - 18. Does 10 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 212683.\nAnswer: 212683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) -1\/63 (c) -11 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -98 - -52. Let v = -10 - q. Is v a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-396 + -2)*((-3672)\/16)\/27. Calculate the highest common divisor of g and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0184 minus 1.4?\nAnswer: -1.4184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q + 3. Let c(g) = -g**3 + 18*g**2 - 17*g - 3. Let t be c(17). Let v be o(t). Suppose -4*h + v*w + 4*w = -8, -3*w = 3*h. Solve y - 4 = -h for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 129 - 114. Calculate the least common multiple of -7*s\/(-280) + 474\/16 and 25.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t**2 + 0*t**2 - 2*t**2)*(-5283*t - 6851727 + 6851727)*(-6*t + 4*t + 3*t).\nAnswer: 10566*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -4*a - 48. Let m be (24\/a)\/(4\/(-30)). Suppose -d + 2*d - m = 0. Solve -4*j - d + 0 = -4*c, -4*c = -5*j - 15 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.3 at least -21307?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 79303 - 395134\/5. Let d = u - 276. What is the closest to -8 in d, 3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1081 divide 1987782?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 11885.15 and -5?\nAnswer: 11890.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.897145mg in kilograms?\nAnswer: 0.000005897145","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + s)*(-s**2 + 20332*s**3 + 2 - 68*s**4 - 20332*s**3).\nAnswer: -68*s**5 - s**3 + 2*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**3 - 7*h - 16*h + 12*h - 2*h**2 + 6. Let v be q(5). Let o = 50 + v. What is the tens digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 8 = 3*v, v - 4*v = -5*w + 112. What is the remainder when w is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -100 + 168. Suppose -k + 2*i + i = -r, -4*i + 152 = 3*k. What are the prime factors of k?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 86, 96, 106, 116, 126?\nAnswer: 136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b**4\/5 - 1227*b**3\/5 + 165426*b**2\/5 - 1461216*b - 7472736\/5 = 0 for b.\nAnswer: -1, 124, 162","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 27*s**3\/2 - 909*s**2\/2 - 624*s - 210.\nAnswer: 3*(s - 35)*(3*s + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, i: 1, w: 2, q: 1, u: 1}. What is prob of picking 2 w?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 323, 645, 967?\nAnswer: 1289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -0.1 (b) 0.1 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -12061*t - 1109763. Give v(-92).\nAnswer: -151","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -35*s + 11 + 7 + 34*s. Let c be g(12). Solve 2*a = -a + c for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8155 divided by 5?\nAnswer: -1631","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1238896.\nAnswer: 2, 77431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2315155 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.03 in 0, 0.5, 0.23, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*l**2 - 8140*l - 1061200 = 0. What is l?\nAnswer: -1895, -140","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-35 - -195 - 139) + (19 - -2).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 669987197 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15 + 120. Calculate the remainder when o is divided by 54.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2757 (base 10) in base 9?\nAnswer: -3703","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 5*h + 6 - 13 = 0, -1 = -2*r + 3*h. Suppose -32 = -0*a - r*a. Suppose -a = 4*z - 44. Does 4 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 6*d - 36. Let g(c) = 6*c - 24. Let z(l) = 16*l - 63. Let k(w) = 11*g(w) - 4*z(w). Determine 10*k(b) - 3*t(b).\nAnswer: 2*b - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 189\/4 - 48. Suppose 0 = -10*u - 10*u + 22*u. What is the nearest to -0.1 in l, 6, -2, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a meter in millimeters?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*s = 35 - 3 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7686*u + 1180 = 7666*u for u.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, -8, -117, -2.3, -3\/4, 0.2?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 29115 - 28395. Solve i = -84*c + 4*c for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 - 143?\nAnswer: -144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.4462937 rounded to 3 decimal places?\nAnswer: 12.446","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:14 AM and 6:29 AM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 2 d when three letters picked without replacement from {w: 5, f: 6, k: 1, b: 1, d: 5, p: 2}.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 406547412 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 7*s + 7*s + s**3 - 6*s - s**3 + 6*s + (-s**2 + 0*s**2 + 3*s**2)*(2*s - 3 + 3))*(-2*s**2 - s**2 + 4*s**2).\nAnswer: 4*s**5 + 6*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 120129.12 microseconds in minutes?\nAnswer: 0.002002152","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/88904282 and -77\/2180214.\nAnswer: 800138538","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 95 - 100*j - 217 + 300*j + 101 to z*j + c and give z.\nAnswer: 200","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*i, -5*q + 2*i + 10 = -0*i for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00223100021 rounded to 5 decimal places?\nAnswer: 0.00223","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6918 is divided by 216.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 713 is divided by 51?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 97815\/1069444*(-24)\/(-15)?\nAnswer: 6\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*m + 734 = 764 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 357732350?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12 + -8. Suppose 24 = l*d + 8. Let c(z) = -3*z**2 + 13*z - 15. Let x(k) = -k**2 + 4*k - 5. Let u(y) = 3*c(y) - 8*x(y). Calculate u(d).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 6245497, 6245494, 6245491?\n\"Answer: -3*p + 6245500","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((3 - 14) + 19 - 24) + (3 - (-3 - -1)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (-835)\/10*(-90)\/1 a multiple of 135?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1072?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pepwwpppiwpwppwpw. What is prob of sequence ieei?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + w = 553989, -1149880 = -5*l + 2*w - 226587. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**3 - 5*f**2 + 2*f - 7. Let j be a(5). Let p(l) = 4*l + l**j + 2*l + 0*l**3 - l**2 - 4*l. What is p(2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 equal to 23\/686?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**3 - 3*y**2 - 2*y + 2. What is the remainder when 39 is divided by z(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) 122\/1219 (b) -1\/4 (c) 3\/2 (d) 1 (e) -0.3 (f) 3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put together 932 and 2429384939.\nAnswer: 2429385871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -31, -54, -89, -142, -219, -326?\nAnswer: -469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/5 - (116\/20 + -6)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(34)*1*-4)\/(sqrt(2) + -5*sqrt(4)\/sqrt(2) + sqrt(2)))**2 - -1*(-3*(sqrt(68) + 1))**2.\nAnswer: 36*sqrt(17) + 5861\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the first derivative of -4*s**3\/9 + 164*s**2\/3 + 960*s + 4062. Find k, given that z(k) = 0.\nAnswer: -8, 90","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**2 - 2*s + 1. Let z(i) = -2*i**2 - 4*i + 1. Let p(k) = 5*c(k) - 2*z(k). Let y be (-209)\/44 - (-18)\/24. What is p(y)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -28\/155 and 111\/1120?\nAnswer: 34720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -15*g - 167. What is q(-11)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 + (-340249)\/(-22491) + (86\/136 - (-438)\/(-584))?\nAnswer: 2\/189","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/1416 and 167\/30.\nAnswer: 7080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lccclklkkeklclkc. What is prob of sequence kll?\nAnswer: 5\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - 5 = 7*h + g, -4*g - 20 = 3*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15445377.33000085 - -15445377. Let u = -0.33 - i. What is u rounded to seven dps?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 199 divide 1911701062?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -778245, -778249, -778255, -778263, -778273?\nAnswer: -778285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*i**5 + 18430*i**4 - 337995*i**3 - 17158520*i**2 + 35257280*i - 17779200 = 0. Calculate i.\nAnswer: -3704, -24, 1, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 436 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 6*m**2 - 62*m - 8. Let l(j) = -4*j**2 + 41*j + 5. Let c be (-2)\/(2001\/(-3915) + (30\/27 - 1)). Give c*b(x) + 8*l(x).\nAnswer: -2*x**2 + 18*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 - -4. Let g be 264\/3*(-1 + w). Suppose g = 3*f - f. What is the highest common factor of 11 and f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13 - -54. Suppose 5*q - 29 - y = 0. Calculate the remainder when 40 is divided by q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8742682, 17485364, 26228050, 34970740, 43713434, 52456132, 61198834?\nAnswer: 69941540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 139 and 953540?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 5*b + 7. Suppose -5*p + 2*h - 34 = 0, -h = -p + h - 10. Let d(u) = 14*u + 20. Calculate p*d(q) + 17*o(q).\nAnswer: q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:27 PM and 5:55 AM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 3*x = -51, -10*n + 8*x = -15*n - 163 for n.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a = -5*o + 30, 0*o - 1392 = -2*a + 5*o - 1419 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/(-4)*(-76 + 2 - (-43 + 47)). Solve 6*q - 93 + v = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 2*u**2 - u - 14. Determine i(-5).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6569*j - 9013*j = 8975*j + 2176345 - 714713 for j.\nAnswer: -128","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 times 0.2?\nAnswer: 100.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 3332103*s + 3 + 1349273*s.\nAnswer: -1982830*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3698457868?\nAnswer: 2, 7, 23, 117203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3402)\/(-3654) - (-8)\/116?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -36 - -36. Let y be (3\/(-3))\/(2 - 0)*z. Solve y*x = -x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7371880079*x - 7371880068*x + 1617 - 1617.\nAnswer: 11*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15464830728 + -0.4.\nAnswer: 15464830727.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25856590.\nAnswer: 2, 5, 2585659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 137.49 + -137.37186. Round u to 3 dps.\nAnswer: 0.118","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 a factor of 4488158?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than 297\/1784?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*l**5*u**2 + 7*l**5 - 249*l*u**2 + 2*u**2 wrt l.\nAnswer: -100*l**3*u**2 + 140*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -573280*t**3 + 45*t**2 - 91*t - 9143 wrt t?\nAnswer: -3439680*t + 90","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/3 - (-294)\/(-18). Let h = -10 - 1. Let x = h - y. Solve -4*i - 2 = 2*g + 8, x*i - 5*g - 25 = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + 3*a + 21 = 0, -23572*a + 191 = -31*x - 23575*a for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20, -4, -24, -40, -52, -60?\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 57 + -49. What is the smallest common multiple of f and 14?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 4*d**5 - 368*d**4 - 1944*d**3 + 368*d**2 + 1940*d = 0.\nAnswer: -5, -1, 0, 1, 97","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add -6038 and 13256.5713.\nAnswer: 7218.5713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13227780.\nAnswer: 2, 3, 5, 113, 1951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 549.392 minutes in milliseconds?\nAnswer: 32963520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2*(-4)\/(-8) - -5. Let p = n + 4. Suppose -5*x + 3*k + 2*k = p, 3*x + 14 = 5*k. Is x equal to 6\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 21, 24, 27, 30?\n\"Answer: 3*r + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2541823953 to the power of 1\/2, to the nearest integer?\nAnswer: 50417","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 take away 2337.8324?\nAnswer: -2094.8324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -11558895 divided by -1\nAnswer: 11558895","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45939657 is divided by 620806.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**2 + 14*s - 38. Let o be f(10). Let x = -53 - -263\/5. What is the nearest to o in x, -4, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 93715, 194629, 295543, 396457, 497371?\n\"Answer: 100914*p - 7199","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -8631679.\nAnswer: -5\/8631679","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-1))**29)**(-7)\/(f*f*f*f**8*f*f**(-3)*f\/f**(1\/6)*f*f**(6\/11)) assuming f is positive.\nAnswer: f**(12647\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 4*k = j - 109, -2*j + 74 = 2*k. What is the remainder when 116 is divided by j?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*d + 346 = -329. Let n be 12\/(-5)*(-75)\/d. Solve -2*q - 12 = 2*q + n*o, -4*o - 9 = 3*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g = 25, 5*o + g + 25 = 4*g for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 212 (base 14) to base 15.\nAnswer: 1c3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pjyojcspojojjp. What is prob of sequence yocs?\nAnswer: 1\/8008","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n - 8. Let q(s) = 2*s + 15. Let r(x) = -3*q(x) - 5*w(x). Let o(v) = 2*v - 3. Let f be o(3). Suppose -i = -5*z - 11, 5 = i - 6*z + f*z. What is r(i)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -14.7 (b) 2 (c) 923 (d) 1\/5 (e) -5\/2 (f) -20\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2572 - 10*y + 5045 - 2540)*(-5 + 4 - 1)*(-4 + 0 + 5).\nAnswer: 20*y + 134","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2409\/2 + -1167. Let h = z + -38. Which is the smallest value? (a) 1\/3 (b) h (c) 1\/2 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1378 or -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -18 - -19. Suppose -s - 1 = -p - 4*b, -4*p + 8 = b. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -2*f + 8. Let t(i) = 2*i - 8. Let v(a) = 4*h(a) + 5*t(a). Let q be 0\/(0 + -6) + 2 - -5. Give v(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.11 minus 391784?\nAnswer: -391784.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 22.9, -0.29, -1486, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -918*w + 40510 = -5390 for w.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 203495 divided by 40699.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*c**2 + 18*c - 4.\nAnswer: -2*(c - 2)*(4*c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9132305 and 455?\nAnswer: 455","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of -2 - ((-9014694)\/260 + 2\/(-20) + 8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, a: 1, m: 1, k: 1}. Give prob of picking 1 m and 1 a.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 4*z + 72. Let g be o(-18). Suppose g*r - 5*r + r = 0. Solve -2*m = 3*d - r*m - 17, 0 = 2*d + 3*m - 13 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -751800305, -1503600610, -2255400925, -3007201256, -3759001609, -4510801990?\n\"Answer: -k**3 + k**2 - 751800301*k - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -4370 >= -249130\/57?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4360.0000003291 + 4360. Round m to 7 decimal places.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**3\/7 + 2062*o**2\/7 - 5424*o - 298794600\/7.\nAnswer: -2*(o - 678)**2*(o + 325)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**4\/25 - 9212*t**3\/25 + 10579946*t**2\/25 + 63728616*t\/25 + 95717448\/25.\nAnswer: 2*(t - 2306)**2*(t + 3)**2\/25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times 3236?\nAnswer: 323.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43*q + 6623*q**2 + 2040*q**2 - 43*q.\nAnswer: 8663*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1.9, -1\/7, 0.07, 4, -2?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -427*x**5 + 3*x**2 - 15*x - 12?\nAnswer: -8540*x**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7\/70)\/((-4)\/16).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -22, -1, 38, -711, -3, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0673149 to 4 dps.\nAnswer: 0.0673","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 180 + 123. What are the prime factors of w?\nAnswer: 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -1. Suppose v + 4*t = 13, 5*v - 5*t + 10 = -0*v. Let x(h) = 19*h - 15. Let r(m) = v*x(m) - 2*s(m). Differentiate r(d) with respect to d.\nAnswer: 19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 3*f + 117. Determine n(-39).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -37*p**3 - p**2 + p + 1. Let i(s) = -36*s**3 - s**2 + s + 1. Let y(w) = 6*i(w) - 5*l(w). Let o be (-6)\/4 - 5\/(-10). List the prime factors of y(o).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**3 - 5*o**2 + 3*o + 7. Suppose m + 2*m = 39. Let w = 13 - m. Let t be 1 + 1 + w + -7. What is s(t)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27211 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 6005?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -488*c + 73388. Give x(150).\nAnswer: 188","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -167\/26628 and -109\/17220?\nAnswer: 5458740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-15)\/80)\/(72\/(-3232)) and -17\/33.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes before 1:59 PM?\nAnswer: 4:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-44)\/(-3) - (-46662)\/(-4444)?\nAnswer: 25\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cccsfscsssfsscsics. What is prob of sequence cis?\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -902 (base 10) to base 16\nAnswer: -386","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3692 and 71?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -180*l + 206*l + 312 = 0 for l.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -56 (base 14) to base 11\nAnswer: -6a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**3 - 3*t**2 - 7. Let x be p(4). Suppose -21 = -x*r - 3. Solve -2*o - 10 = -r*z, -5*z - 2*o = 3 - 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -3*z**5\/7 - 7137*z**4\/7 + 116022*z**3\/7 + 2545458*z**2\/7 + 4714317*z\/7 + 2292015\/7 = 0.\nAnswer: -2395, -11, -1, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48820 is divided by 328?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 677448 to the power of 1\/3, to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 173*o = 164*o + 116811. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 + 7 + 280*p - 16 + p**3 - 311*p + 3*p**3.\nAnswer: 4*p**3 - 31*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 - -8?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.021 (b) 0.2 (c) 17 (d) 1\/149 (e) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**2 - 26*i + 87. What is n(16)?\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 4 + 2)*(-2900 + 529*j + 1459 + 1427 + (-4 + j + 4)*(2 - 5 + 1)) in the form l + m*j and give l.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9 + -4. Factor 2*d**5 + d**4 - 2*d**x + d**5.\nAnswer: d**4*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 86 - (65 - (-167 - -86)).\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + 40 = -5*p, -4*p + 6 = 2*b + 14 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.2 + -2. Let w = 10630 + -42135\/4. Let r = w - 95. What is the smallest value in r, 0.1, k?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6*2*(-2)\/(-24). Let r be 5\/(b\/2*-2). Is (r - -1)*217\/(-14) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -6 + (-154)\/(-4)*124\/341. Solve -w*m - 599 = -623 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2231 + 2231 - 2*d**3 + 4*d**3.\nAnswer: 2*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -158 = -s - 4*w - 170, -4*s - 20 = 2*w for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 65*o**2 - 8*o**2 - 32*o**2 + (-2*o + 3*o - 2*o)*(2*o - o + 0*o).\nAnswer: 24*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**2 + 4*j - 6. Let g be v(2). Let y be 1 + ((-154506)\/(-42) - g\/7). Round y to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 6*h - 7. Let i(o) be the second derivative of -o**3\/6 + o**2\/2 + 10*o. Calculate 14*i(c) + 2*t(c).\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-5 + (1 - -1))\/(-1). Suppose -h*z - 3 - 9 = n, 3*n - 16 = 4*z. Suppose 26 + 10 = 3*c. Solve n = -3*x, -2*x - x - c = 3*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2207 and -0.817.\nAnswer: -2207.817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (13\/(-156))\/(2\/(-30)). Let z be -1 - (1 + 18\/(-8)). Which is smaller: w or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-60)*-3 - 60\/(-3400)\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 0*y**2 - 485 - 994 - 12*y**2 - 51*y**3 + 468 wrt y?\nAnswer: -153*y**2 - 24*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/8 - 3\/(-12). Suppose -3*h = 3*t + t - 444, 4*t - 4*h - 472 = u. What is t rounded to the nearest 10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -3 - 3*r - r**3 - 3*r + 7*r + 2*r**2 + 3*r. Let l be o(3). Suppose 5*k + l*k - 65 = 0. List the prime factors of k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5.02*-1998.\nAnswer: 10029.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y**4 + 600*y**3 + 18985*y**2 - 600*y - 18980 = 0. Calculate y.\nAnswer: -26, -1, 1, 146","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -111998*0.1.\nAnswer: -11199.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u - u - 64. Suppose 4*g - a + 19 - 55 = 0, -3*g - 2*a = -u. Is 3 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - m = 0, 3*i - 11 - 5 = -m. Suppose -4*a + 848 = 2*c - 0*c, i*a - 2*c = 832. Does 14 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 + 58c8?\nAnswer: 58c7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t. Let k be c(-15). Let y be 33\/((-3)\/2 + 0). Let p = k - y. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -98.7 + 99. Which is the nearest to 0? (a) p (b) -3 (c) -15 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 352 - 336 - (26 + 0).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from egwwwwkrwwwwwcwrwgww. Give prob of picking 4 e.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 16, -7, -1, -19, -3, 5 in increasing order.\nAnswer: -19, -7, -4, -3, -1, 5, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**2 + 6*f - 6. Let z(v) = -3*v**2 + 13*v - 12. Let t(k) = 13*l(k) - 6*z(k). Differentiate t(y) with respect to y.\nAnswer: 10*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-20)\/180)\/((-8)\/9).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 0 + 211 + 2\/(-2).\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -43 + 10505?\nAnswer: 10432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54\/(-12)*(-1030)\/3.\nAnswer: 3, 5, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1255189 - v + 1255207 - 3*v**3 - v**2 + v**2 as k*v + a*v**2 + p + b*v**3 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-10) + (-2)\/(-35)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 30592241, 61184487, 91776735, 122368985, 152961237, 183553491, 214145747?\n\"Answer: g**2 + 30592243*g - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 7.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 + ((-6)\/(-7) - (-5)\/35). What is the units digit of (8 + h)\/(1\/25)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 180*q**2 + 120*q**2 - 108*q**2.\nAnswer: 192*q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 12229 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 4 - 19 = 0. Suppose -5*t - 2*o = 2, 0 = -2*t + 3*t - y*o - 5. Solve t = -5*k - 0*k + 4*g - 20, 0 = -4*g for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (33\/15 - 2)*4\/6\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 424 and 360529801?\nAnswer: 360529377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -3222 (base 6) to base 8\nAnswer: -1336","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 8 = -4. Suppose 3 = -q*j - 5. Let k be 2\/(j\/1) + 2. Which is the closest to k? (a) 1 (b) -4 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y and 1 t when four letters picked without replacement from yttyttyttyyt.\nAnswer: 14\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 288520 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 13420\/671*102\/(-60)*-2?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57776?\nAnswer: 2, 23, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-117)\/((-9)\/30*11) - (-6750)\/12375?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 2*n**2 + n - 1. Let d(u) = 5*u**2 + 2*u - 2. Let b(q) = d(q) - 2*p(q). Let t(j) = 10*j**2 - 4*j. Determine t(b(g)).\nAnswer: 10*g**4 - 4*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -390 - -1336. What are the prime factors of n?\nAnswer: 2, 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -209*r + 211*r - 14 = 0, 3*c = 2*r + 364. Solve 174 = 6*b + c for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 93810\/13 + -7216. Let z = 7 - 19\/3. Which is the closest to z? (a) g (b) 0.11 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1742*p**4*s + 2263*p**2*s**3 + 94*p*s**2 + 81438*s**3 wrt p.\nAnswer: 20904*p**2*s + 4526*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**3 - 11*v**2 + 183*v + 1362. What is c(-17)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -5 + (sqrt(1377) - (sqrt(1377) + -5 - sqrt(1377))**2*-4 - (sqrt(1377) - (1 + (-4*sqrt(1377) - sqrt(1377))))).\nAnswer: -45*sqrt(17) + 93","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**2 - 12*a + 16. Let w be z(12). Suppose -29*t + w*t + 104 = 0. Is -8 greater than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 4*q - 1 + 6 = 0, 0 = 2*q. Let p(i) = i - 6 + 2*i + 11*i**3 - m*i**2 - 5*i - 3*i**2. Let l(t) = 7*t**3 - 5*t**2 - t - 4. What is -8*l(u) + 5*p(u)?\nAnswer: -u**3 - 2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*f = 4*f + 132756. Is 46 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4815, -0.132, -4, -1\/4.\nAnswer: -4815, -4, -1\/4, -0.132","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes before 8:55 AM?\nAnswer: 10:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 697 + 2*(6 + -3). Let u = 2335 - v. List the prime factors of u.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2\/11, -3.8, 2\/157, 2\/3, 4\/3, 19?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 59319.97ml to litres.\nAnswer: 59.31997","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 41, 36, 29, 20?\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -449599, -899090, -1348581, -1798072, -2247563, -2697054?\nAnswer: -3146545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 110*c**2 - 2*c + 1. Is j(-4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1456 + 1512. What is the highest common divisor of c and 488?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 + 26 = -8*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 8 = 2*u, -4*w - 23 - 10 = 5*u. Suppose -5*l = -5*s + 35, -2*s + l + 2 = -8. Let y(d) = -s*d - 2 + 2 + 2 + d. Calculate y(w).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the first derivative of l**5 - 5\/3*l**3 - 5\/2*l**4 + 0*l + 5*l**2 + 5. Factor r(g).\nAnswer: 5*g*(g - 2)*(g - 1)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 284076*s + 283726*s - 568582*s)*(2 + 0 - 3) as g*s + d and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 102 + -99 - (-3 - -5).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 - 1. Let b = 9 - 5. Suppose -k = -b*k + 30. Calculate the lowest common multiple of k and s.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 8, 1\/10, 0?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**3 - 12*f**2 + f. Let p be n(12). Let d(g) = g**3 + 6. Let i be (0 - 0)*(-2 - -1). Let t be d(i). What is the greatest common divisor of t and p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 992684019 and 10119.\nAnswer: 10119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 249867?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 9, k: 2}. What is prob of sequence kpp?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13 + -45)\/(-16) + -14.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -24*r + 430. What is h(18)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.000544 - 36.766456. Round g to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 285 and 2235.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1883 - 14*d - 1883 - 5 + 5 - d + (2 - 3 - 1)*(-6*d + 4*d + 3*d) - 3*d + d + 0*d.\nAnswer: -19*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*v + 26 = -1. Sort v, 77, -5 in increasing order.\nAnswer: -5, v, 77","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 94 - (244 - 113) - ((-9 - 0) + -2 + 2).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 22*k**2. Let a(f) = 6*f + 5. Give n(a(o)).\nAnswer: 792*o**2 + 1320*o + 550","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the first derivative of 359*i**4 + 400*i - 925. Differentiate o(y) wrt y.\nAnswer: 4308*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - o - 1 = 0, 2 + 3 = 2*k - 5*o. Suppose k = 9*y - 4847 + 1652. List the prime factors of y.\nAnswer: 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/201331 and -31\/1409317?\nAnswer: 1409317","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 5*v + 356 = 6, -3*x + 2*v + 364 = 0. Suppose -2*k - 123*c + 1237 = -x*c, 2*c = -5*k + 3120. Calculate the remainder when k is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34956 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: Evaluate (-5*1\/50)\/(((-36)\/189)\/(30\/(-9))).\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14035230, 28070464, 42105704, 56140956, 70176226, 84211520?\nAnswer: 98246844","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73 is divided by (-156)\/(-7 + 1) - 6.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -0.5, 3, 4 in ascending order.\nAnswer: -6, -0.5, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 109.18722 minutes to hours.\nAnswer: 1.819787","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*t - 1681 + 250. Let v(o) = -5*o**2 - 7*o - 150 + t - 5*o. Let k(m) = 9*m**2 + 23*m - 18. Let n(b) = -6*k(b) - 11*v(b). What is n(6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 - 1 - (-952 + 848)?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the third derivative of -d**4\/24 - d**2. Let f be s(-2). Solve 3*y - 15 = -f*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21425 + 282.\nAnswer: 21707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -12322165, -24644255, -36966345, -49288435, -61610525, -73932615?\n\"Answer: -12322090*u - 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 561 + -235. Suppose l + n = 3*l. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - -9 - 14 - (0 - (1 + -17)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 175 and 3360.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0045055595 rounded to four decimal places?\nAnswer: 0.0045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 55*m**2 + 595*m - 117. Calculate t(-11).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 433*g**3 + 2*g + 455.\nAnswer: 2598*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 - -9. Let x be -5*z\/((-15)\/6). Suppose -3*s - x*s = 4*v - 15, 0 = -2*v + 4*s + 14. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 51400, 102807, 154206, 205591, 256956, 308295?\n\"Answer: -p**3 + 2*p**2 + 51408*p - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6624 and 450.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2371114 is divided by 44.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9 + 8. What is the nearest to f in 3, -0.5, -6\/7?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*w = -2*w - 15*w. Solve w = 6*j - 11*j - 15 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the second derivative of -21*q**5\/20 + 31*q**3\/6 + 306*q. What is the second derivative of c(g) wrt g?\nAnswer: -126*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7962221 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-29348)\/(-14) - 4\/14. Let c = -832 + i. What are the prime factors of c?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4561 by 1.\nAnswer: -4561","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 56*d**3*s**3 - 483175*d**3*s**2 - d**2*s**3 - 32*d*s**2 - 2975*d + s**3 - 3*s**2 wrt d?\nAnswer: 336*s**3 - 2899050*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:04 AM and 1:16 PM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes before 11:20 AM?\nAnswer: 7:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -23\/24 - -13\/8. What is the closest to 0.1 in 0.4, 0, t?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 286 and 130?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 644 + -3. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -9*p**2 + 160*p + 29. What is u(18)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -25.1140860342 from 2.\nAnswer: 27.1140860342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -4*(-2)\/12*3. Suppose -b*s + 1 = -s. Let i be ((-20)\/4 + 0)*s. Which is smaller: i or -4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 468 + -107. Suppose -p*q = -367*q + 672. What are the prime factors of q?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -252922*c**3 - 219382*c**3 + 103107*c**3.\nAnswer: -369197*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((196\/(-8))\/(-7))\/((-95)\/1330)*-1?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10 - 8.2. Let y = m - 0.8. Is 1 less than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6372 - -127411\/20. Calculate the common denominator of 79\/6 and j.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-32)*(-23)\/((-138)\/(-144))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a day in hours?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -5 + 14 - 9 - 29*b. Let f(x) be the third derivative of x**5\/20 + 115*x**2 + 1. Calculate r(f(a)).\nAnswer: -87*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the third derivative of v**7\/210 - 1687*v**6\/40 - 236*v**5\/15 + v**4\/12 - v**3\/6 - 14848*v**2. What is the third derivative of c(i) wrt i?\nAnswer: 24*i - 30366","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p. Let x be o(3). Let k = -4693 + 4693. Put k, 3, x, -4 in descending order.\nAnswer: 3, k, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 5*s**2 + 13*s + 5. Let b(z) = 4*z**2 + 14*z + 6. Let q(r) = -4*b(r) + 3*f(r). Let m be q(-16). Suppose -6 = -m*d + 8. Solve 0 - 2 = d*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes after 3:25 PM?\nAnswer: 3:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 8167, 16342, 24517, 32692, 40867?\n\"Answer: 8175*q - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*z**2 - 665 + 665 + z**2 + 5*z**2.\nAnswer: 4*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 - -8. What is the third derivative of -f*m**4 + m**2 + 3*m**4 + m**2 + 2*m**4 wrt m?\nAnswer: 24*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19*u**5 - 62*u**5 + 24*u**5)*(-3 - 1 + 3) + (-1 - 2 - 1)*(-2*u**5 + 5*u**5 - u**5).\nAnswer: 11*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -19*d**4 - 8*d**4 + 16*d**2 + 6*d**2 + 5*d**4 wrt d.\nAnswer: -528*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 - -1)*5\/5. Suppose -24 = -4*n + 4*m, 4*n + y*m + 11 = -3*m. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, -1442.312, 4, -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -33 - -37. Suppose t*n = 211559 + 324441. What is n rounded to the nearest 10000?\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 112*g**2 + 18*g**2 + g**2.\nAnswer: 131*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 433, 431, 429, 427, 425?\n\"Answer: -2*s + 435","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 5*d = -0*d. Suppose d*n = 5*n - 25. Suppose 0 = n*x - 3*k - 3191, 4*k + 1117 = 4*x - 1431. Round x to the nearest 100.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.9? (a) 2\/11 (b) 38 (c) 0.5 (d) 10\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0004167856 to six decimal places.\nAnswer: -0.000417","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/8*104\/6?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - (0 + -1) - (-7 - 3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -4*s. Let k(g) = -2*g + 4. Let h be k(3). What is the remainder when (2 + -1)\/(2\/40) is divided by b(h)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((30\/(-6))\/(-5))\/(1\/(-5))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -11, 468, 89, 13 in descending order.\nAnswer: 468, 89, 13, 0, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4004 and 287716?\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 371*y + 276*y - 753*y + 3180 for y.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -28099, -27685, -27271?\n\"Answer: 414*k - 28513","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (-6 - -5) + (9 - 3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2790 and 982235?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 55784 * -1.\nAnswer: -55784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 60400 to the nearest 10000.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand q**5 - 9*q**5 - q**5 + (-5*q**2 + 2*q**2 + 2*q**2)*(-2*q**3 + 2*q**3 - q**3) + 3*q**5 - q**5 - q**5 + q - 5*q**5 - q.\nAnswer: -12*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2518\/429 - -64\/11. Which is the second biggest value? (a) -6 (b) -4 (c) 3 (d) l\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 75\/14 and -31\/27828.\nAnswer: 194796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -799 to the nearest one hundred.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 90 - 81. Is -1 != z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 39\/(-104)*(-104)\/26 - (-354)\/(-4)\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/7 - (-289)\/(-119).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes before 3:17 PM?\nAnswer: 5:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -1262*v. Let k(s) = -s**2. What is k(n(c))?\nAnswer: -1592644*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16 and 595730.\nAnswer: 4765840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/2 + 2 + (-11)\/(-22)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v. Let s(b) = -68*b - 30*b**2 + 35*b + 33*b. Give s(g(u)).\nAnswer: -30*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_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: What is the least common multiple of 23322 and 70?\nAnswer: 816270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 27914 + -27559. What is the highest common divisor of b and 8236?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 4\/15 of a day?\nAnswer: 384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 3981, 8140, 12299, 16458, 20617?\n\"Answer: 4159*p - 178","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-17 - 2) + (52 - 39)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -9*z**3 + 4*z**2 - 7*z. Let l(u) = 2*u**3 + u + 1. Determine -d(k) - 5*l(k).\nAnswer: -k**3 - 4*k**2 + 2*k - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1615 + -62. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12 + 13 - (1 - -5)) + 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 217670 is divided by 656.\nAnswer: 534","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 130054 + -2?\nAnswer: 130052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -60430*x**4 + 22*x**3 - 5*x**2 + 292229*x.\nAnswer: -1450320*x + 132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*z - 60 = 19*z. Suppose 3*x = 4*n + 614, 0 = z*x - 3*n - 73 - 741. What is the tens digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1104\/(-8)*(2\/(-45))\/1 and -77\/8.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -20151.37945 - 1.72055. What is a rounded to the nearest one thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 j when two letters picked without replacement from jjkkkkktajkqj?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -83, -166, -249, -332, -415, -498?\nAnswer: -581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11217124 and 3368.\nAnswer: 1684","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*p - p**2 + 3 + 11*p - 10 + 16 + 8*p**3 to h*p + s + b*p**3 + o*p**2 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 3*w + 12, 2*b - 4 = -2*w - 0*b. Let m = 4 + w. Suppose -3 = -m*i + 2*i. Solve i*o - 2*o = 4 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1310 - 7)\/(1\/(-3)). Suppose -3*s = 6*s - a. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-75)\/765*-102*(6\/(-1))\/((-15)\/(-12))?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 + -2 - (-37 + -3 - 0). Let s(r) = -r**3 + 37*r**2 - r + 37. Let i be s(n). Sort 13, 1, i, -3.\nAnswer: -3, i, 1, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21010113122 (base 4) to base 2\nAnswer: -1001000100010111011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -65*u**2. Let l(k) = 8*k**2. Suppose -42*h - 55*h + 79*h - 54 = 0. Determine h*o(w) - 25*l(w).\nAnswer: -5*w**2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o - 3*i + 49, -2*o - o - 4*i + 42 = 0. Let n be (-10)\/25 + 424\/o. What is the greatest common divisor of n and 56?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/16 of a meter?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:37 AM and 1:14 PM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes before 8:21 AM?\nAnswer: 4:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-22)\/((-11132)\/(-286))*-23?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zojjhyy. Give prob of picking 1 h and 1 y.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -4*b**2 + 4*b - 5. Let u(v) = -v**2 - v - 1. Give k(a) - 2*u(a).\nAnswer: -2*a**2 + 6*a - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/(-15)*((-39)\/9 - (-34)\/9)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 + -3. Let r(i) = i + 1. Let t be r(x). Let d = 607\/264 - -3\/88. Are d and t equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5.0145 + 0.0145. What is the biggest value in 2, o, 3\/7, -13?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17372 times 2\nAnswer: -34744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h + 66 = 5*h. Suppose -3*x + 18 = h. What is the second derivative of -4*v**x + 4*v**4 + 6*v**5 - 2*v + 5*v wrt v?\nAnswer: 120*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 234 and 97760.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -207075 + 11235?\nAnswer: -185740","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/2, -0.2, -72, -4, 0.16.\nAnswer: -72, -4, -5\/2, -0.2, 0.16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of ((-1)\/(-2) - 0)\/(-17 + (-13096288)\/(-770368))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6592468*c*i - 840*c + 26 with respect to i.\nAnswer: -6592468*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 13811 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(19) + 0 + 2 - (sqrt(19) + sqrt(19) + 6*sqrt(171) + sqrt(19)).\nAnswer: -20*sqrt(19) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 23458 - 23450. Solve -13*x - 10 = -18*x + 5*l, -2*l = -z for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k*k**4))**6\/((k\/k**(-11)*k)\/k*k*k*k*k*k**8*k*k) assuming k is positive.\nAnswer: k**(-50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1520144 - 1?\nAnswer: 1520143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(3)*2 + 5)**2.\nAnswer: 40*sqrt(3) + 112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aq when two letters picked without replacement from {a: 5, q: 3}.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 3*h - 13*h + 1 + 6*h + 7*h. Let i(n) = -5*n - 1. Let m(u) = u. Let s(t) = i(t) + 2*m(t). Determine 6*b(a) + 5*s(a).\nAnswer: 3*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.09 + 2.99. What is the closest to 1 in -4, m, -2\/25?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21631879.\nAnswer: 21631879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:07 AM and 7:38 AM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1491 or -8\/5?\nAnswer: 1491","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*x**4\/7 - 370*x**3\/7 - 87152*x**2\/7 + 430392*x\/7 + 51840\/7 = 0.\nAnswer: -48, -2\/17, 5, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6358 + 2470 = -144*s for s.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wk when two letters picked without replacement from kkkkwkwwwkkwwwwkkwkw.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 77, -6, 21, 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 890698863?\nAnswer: 3, 997, 297793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9166, 36209, 81280, 144379, 225506?\nAnswer: 324661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -7*y**3 - 18*y**2 - 22*y - 3. Let s(z) = -3*z**3 - 9*z**2 - 10*z - 2. Let i(w) = -4*f(w) + 9*s(w). Determine i(8).\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 3523996?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t - 10 = -2*i, 5*i - 3*t + 110 = 104 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2c052 (base 13) in base 6?\nAnswer: -1442453","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 19 - 21. Let l be d\/10 - 6005\/(-25). Suppose -2*x = 4*w - 102, 3*x + 5*w - l = -87. Is x a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 40 + -27. Let w = s - 8. Calculate the remainder when 9 is divided by w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -32, -25, 7 in ascending order.\nAnswer: -32, -25, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.0109 and -654154.\nAnswer: -654153.9891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 5112590.58 to the nearest 1000.\nAnswer: 5113000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkkkikkkkikk. Give prob of picking 3 k.\nAnswer: 15\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes before 10:00 AM?\nAnswer: 12:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*a - 51*a - 4*a + 57*a + 48*a + 29*a.\nAnswer: 86*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes before 9:40 AM?\nAnswer: 7:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, s: 3, w: 6, r: 3}. Give prob of sequence frs.\nAnswer: 3\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-432)\/81)\/((-3)\/(-1)). Let n = -50 + 47. Which is greater: v or n?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 825\/(-88)*(21\/25)\/(1227\/(-2045))?\nAnswer: 105\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 104 in 138, -24\/11, -2?\nAnswer: 138","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes after 10:01 PM?\nAnswer: 8:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 47300329, 47300321, 47300313, 47300305, 47300297, 47300289?\nAnswer: 47300281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 2) in base 11?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8646.456 millennia in months?\nAnswer: 103757472","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -425\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a millennium in decades?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x + 20. Let w be n(-17). Solve 0*v - 6 = w*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/15 and -109\/15040.\nAnswer: 45120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2582*k**2 - 4*k**3 - 2575*k**2 + 125*k**4 + 7 - 20*k - 5 wrt k.\nAnswer: 3000*k - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 4*y**3 + 5*y**2 + 35*y + 72. What is v(-2)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -5*b + 4*b + 0*b + 6. Let t be v(5). Let w = 2 + 0. Which is smaller: w or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-3))\/((-56)\/96).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 2, v: 2}. What is prob of sequence rrrr?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*x - 268953 + x**3 + 268953.\nAnswer: x**3 + 14*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1960210.\nAnswer: 2, 5, 7, 41, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 790\/3*u**4 + 62435840\/3 - 5\/3*u**5 + 223880\/3*u**2 - 36860\/3*u**3 + 12379520\/3*u.\nAnswer: -5*(u - 58)**3*(u + 8)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fgjf. What is prob of picking 1 j, 1 g, and 1 f?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -418, 0.5, -3\/8?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*b**2 + 2*b**2 - b**2 + 2 to j*b**2 + z*b + m and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*z - 2 + 22 = 0. Let k be (-254)\/(-12) - (z - 21\/(-18)). Which is the smallest value? (a) k (b) 0.1 (c) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -23 - -35. Let r = 13 - h. Sort 4, r, -5 in descending order.\nAnswer: 4, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -11*r - 11. Determine l(-5).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = 3*o + o. Find the common denominator of (297\/o)\/(35\/(-5)) and 61\/22.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-18)\/27)\/2)\/(((-88)\/720)\/(-11)).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -370 less than -376?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 113 a factor of 2260415388?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**2 + 2*i + 1. Let h(a) = 3*a**2 + 5*a + 3. Calculate -10*b(o) + 4*h(o).\nAnswer: 2*o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -563.\nAnswer: 1\/563","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3619922*w**5 + 2*w**3 - 52473749*w**2 wrt w?\nAnswer: -217195320*w**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, l: 3, j: 2, i: 3, b: 1}. Give prob of picking 2 l and 1 j.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 4*i. Let z = -798 + 792. Let o(l) = -4*l**2 - 1 - l**2 - 5. Let g(n) = 4*n**2 + 5. Let t(k) = z*g(k) - 5*o(k). Give v(t(r)).\nAnswer: 4*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/(-2)*3\/21*-3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 288 = 3*u. Suppose -5*w - 12 + u = 0. Suppose 2*m = -3*f + 5*f - 50, 2*f + m = 41. Calculate the remainder when f is divided by w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -88 by -1.\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -16*x - 1. Let r = 74 + -71. Suppose 4*l + i = 0, -3*l = -2*i - r*i + 23. Calculate o(l).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n - 25 = -3*h, 5*h = 3*n - 0*n + 10 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 563 divide 34315715?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 4 + (0 - -1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes before 4:25 AM?\nAnswer: 7:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(2\/7))**(5\/4)\/((m\/(m*m**(-2\/7)*m*m))\/((m\/m**(-1\/7))\/m)) assuming m is positive.\nAnswer: m**(11\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3 + 17\/((-476)\/(-40)) + 2. What is the fourth smallest value in -3\/7, i, -1\/2, -0.016?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 100 and 3270?\nAnswer: 32700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w - 1. Let j = 0 + -4. Let z be f(j). Solve -6*y + 9 = -z*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1021*c**3 + 1007*c**3 + 1018*c**3 - 3031*c**3.\nAnswer: 15*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -4*r + 41, n - 12 = -11. Solve -r = p - t, 19*p - 6 = 15*p - 3*t for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 644910 and 47915?\nAnswer: 23861670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7*(-3)\/6*56\/28*-3?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 30893 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -37*a**3 - 11*a - 48. What is the hundreds digit of l(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16720?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 186\/31 - (-1)\/(2\/2)*4657 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69*m - 70*m + 10127 = 0. List the prime factors of m.\nAnswer: 13, 19, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*f*t**2*z**2 + 19164*f*z + 3*t**2*z + 4675*z**2 wrt f.\nAnswer: 2*t**2*z**2 + 19164*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 703958?\nAnswer: 2, 523, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 + -53 - (-20 + 10 - 17).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.08 or 0.0596?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*d + 4*d - 4. Let q be (5 - 2)*(-1 - d). Solve 9 - 26 = q*n + 5*s, -8 = -4*n + s for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**3 + 30*w**2 + 36*w - 208.\nAnswer: 2*(w - 2)*(w + 4)*(w + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**3 - 4*k**2 + 8*k + 7. Let l be m(-5). Put 5, 4, l, -2 in ascending order.\nAnswer: l, -2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = 4*j - 39743, 4*j + 25*l = 23*l + 39738. What is the hundreds digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9 - -32. Let r = 17 + v. List the prime factors of r.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 114297 at most as big as 114298?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -4*g**3 - 6*g**2 + 5*g - 1. Let s(t) be the second derivative of -t**5\/4 - 7*t**4\/12 + t**3 - t**2\/2 - 2*t - 113. What is 6*l(i) - 5*s(i)?\nAnswer: i**3 - i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -17 + 12. Let d = z + 7. Suppose -d*v = -3*l + 158 + 138, -l + 104 = -2*v. What is the highest common divisor of l and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z + 2*d + 112, -136 = -4*z - d - 3*d. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -6, -19, -54, -123, -238, -411, -654?\n\"Answer: -2*f**3 + f**2 - 2*f - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/(-1*-9*(-6)\/(-5729652)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1589 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23623055, -23623054, -23623053, -23623052, -23623051, -23623050?\nAnswer: -23623049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:08 PM and 3:24 AM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -20.1 + 20. What is the third smallest value in -1, -4\/21, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 16*f + 154, -6*t + 4*f = -t - 55. Let j = -0.05 + -2.95. Sort -20, j, t, -1 in ascending order.\nAnswer: -20, j, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18 is divided by 22\/6*(3 - 0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(78) + (sqrt(78) - ((sqrt(78)*-4 - sqrt(78)) + sqrt(78) - sqrt(78))) + sqrt(78))\/sqrt(2)*3)\/((sqrt(36)\/sqrt(108))\/sqrt(4)).\nAnswer: 144*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 401.65 + -433. Let k = 32 + t. What is k rounded to 1 decimal place?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 103*c + 2. Let y(w) = w + 1. Calculate h(p) - 4*y(p).\nAnswer: 99*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8.2 - 8. Let p = -38 - -39.41. Let r = p + -1.4. Which is the biggest value? (a) f (b) r (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -323*j + 318*j + 344 = 26*x, 4*x - 60 = j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4066417\/25 equal to 162657?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 2599338*z**2. Let l(k) = -5*k**2. Calculate l(o(g)).\nAnswer: -33782790191220*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -148810\/207597 - 6\/5323. Let c = 18\/13 + f. Find a such that 4\/3*a**3 + 0*a**2 - 2\/3*a**5 - c*a + 0 + 0*a**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 + -1)\/((-2)\/87). Suppose -344*n + 1427*n - 219849 = 0. Calculate the greatest common factor of l and n.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 7*t - 3 = 0, 2*t + 534916 = 534914 for n.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 85 - (53 + 12) - (11 + 2) - (51 - -1)?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(153)*-2)\/((sqrt(324) - sqrt(324)*2 - sqrt(324) - sqrt(324)) + sqrt(9) - sqrt(9)).\nAnswer: 2*sqrt(17)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the third derivative of -u**4\/12 + u**3\/3 - 4*u**2. Let f(n) = -6*n + 5. Calculate 3*f(t) - 8*w(t).\nAnswer: -2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**3 + 20*l**2 + 69*l - 65. Determine g(23).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 545105.931 minus 4?\nAnswer: 545101.931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 6*l**2 - 4*l - 42. Let k be (44\/(-16))\/(2\/8) - -4. Let j be h(k). What is the second derivative of -7*b**5 + j*b - 160*b - 151*b wrt b?\nAnswer: -140*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7164 is divided by 297?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4.961 + 7.961. What is the closest to i in 1\/2, 1, -1\/109?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 6840, 6869, 6916, 6981, 7064, 7165, 7284?\n\"Answer: 9*p**2 + 2*p + 6829","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (10 - (0 - (-1 - 2))) + -3\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 84.07881 + -0.07881. Is v smaller than -2.11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2535 + -308. What is the greatest common factor of 17 and v?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**16*s)**(-2\/17) assuming s is positive.\nAnswer: s**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3 + 3 - (4 + -153).\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the second derivative of -j**3\/3 - 6*j. Let c(w) = -9*w. Determine c(q(r)).\nAnswer: 18*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -646 - -956. What is the remainder when q is divided by 79?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**3 + 11*y**2 + 9*y - 2. Let v be (-70)\/8 + (-1)\/4. Is o(v) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 8 - -240?\nAnswer: 248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 439128 and 1862?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 39 and 455.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the first derivative of -f**3\/12 + 3*f**2\/8 - 1. Solve h(k) = 0 for k.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1492.71 times -0.36\nAnswer: 537.3756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-5 + 2*sqrt(19)).\nAnswer: -6*sqrt(19) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -4*p, -3*q + 2*q = -5*p. Let z(r) be the first derivative of -r**3\/3 - 6*r**2 - 8*r + 5. Let b be z(-10). Solve q = -3*u - u + b for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2325?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2225 is divided by 124?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -7*x**3 - 10*x**2 - x + 33. Let v(d) = -8*d**3 - 11*d**2 - d + 34. Let n(q) = -2*v(q) + 3*y(q). Is n(-7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3049217?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -176, -276, -362, -428, -468, -476, -446, -372?\n\"Answer: r**3 + r**2 - 110*r - 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3689.\nAnswer: 7, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*j = -39*j + 2600. What is the hundreds digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 21 + -15. Suppose z - 2*k = k + 1, z + 2*k - m = 0. What is the third derivative of 9*w**4 - w**z + 6*w**2 - 4*w**2 - w**2 wrt w?\nAnswer: 192*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*m*n*q + 21065*m*n + 23194*m*q**2 - 2*n*q - 18*n - 5*q - 14 with respect to q.\nAnswer: 2*m*n + 46388*m*q - 2*n - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.5 - -0.4. Let i = 0.057 + 0.143. Which is the closest to l? (a) 2\/5 (b) 0.1 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(2\/19)\/p**(5\/3) assuming p is positive.\nAnswer: p**(-89\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 525*s - 1054*s + 515*s + 182 = 0. Solve -12 = -4*t - 2*i, -1 = -3*t + i + s for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 503 a factor of 1122550130?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.62 less than or equal to 168530?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 22 and -45.\nAnswer: -990","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*a - 0*a - 3770. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p - p + 3*r + 11022, 0 = -p - 3*r + 2208. Is p a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7302736 - 7302736 - 2*l**3.\nAnswer: -2*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 + 13 + 64\/6 + -4.\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1*((-2 - -5) + 2). Suppose -2*t - f + 233 = 0, -46*t = -48*t + 4*f + 218. What is the highest common divisor of t and p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 35*d**2 - d + 1. Suppose -5 = -2*i - 3. Does 20 divide k(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16749*i + 183751 - 140003 = -4475*i - 385842 for i.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the second derivative of -m**3\/3 - 277*m. Let o(z) = -431*z**2 + 3. What is o(r(x))?\nAnswer: -1724*x**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 380673830 to the nearest integer?\nAnswer: 19511","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 2*y - 3. Let k(u) = 1. Calculate -6*k(n) - 2*s(n).\nAnswer: -4*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 517937.28 hours to weeks.\nAnswer: 3082.96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3\/7 (b) -1620 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14505758 by -5.\nAnswer: 14505758\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -111690\/97 greater than -1150?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.011 * 1881257\nAnswer: -20693.827","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/22 and -117\/14.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -355 + -0.01?\nAnswer: -355.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5240959?\nAnswer: 5240959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that b**4\/6 - 10*b**3\/3 + 23*b**2\/2 - 41*b\/3 + 16\/3 = 0.\nAnswer: 1, 2, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0620925 litres to millilitres.\nAnswer: 62.0925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 16*a**2 - 3*a**3 + 16*a - 13*a - 96 + 96 as k*a + g*a**2 + v + j*a**3 and give g.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -7 (b) 0.09 (c) 219 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 11, s: 2}. What is prob of picking 1 q and 1 s?\nAnswer: 11\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -0*n - 6. What is the first derivative of -n + 5*l + 15 + 18*l - 5*l wrt l?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 531 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -27 by 5.\nAnswer: -27\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 6*j - 2*j + j**3 + 11*j to t*j**2 + o*j**3 + n + r*j and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-1*(1*(-3 + sqrt(242)) + 3 + -3 + sqrt(242) + sqrt(242))*-2)**2.\nAnswer: -26244 + 2376*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in -3, 1, 0.18, -2\/3?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-2)\/(-9) - (-11)\/(-9))*(-262 + -132)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -381*i + 7. Let v(k) = -1. Let p(d) = -2*v(d) - z(d). Let q be p(5). What is q rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 1 - 2)*(52*d**4 + 209*d**3 - 209*d**3) in the form h*d**3 + y*d**2 + t + i*d**4 + q*d and give i.\nAnswer: -208","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 381197 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -18*r**3 + 2*r**2 - 3*r + 1. Let b be i(1). Sort 2, b, 6, 0.\nAnswer: b, 0, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15397120 and 391.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37 = f - 6*t, 1181864*f - 5*t = 1181859*f + 110 for f.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -z**2 + z + 15*z**2 - 3*z**2 - 38*z**2 to the form g + a*z + w*z**2 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 179, 335, 487, 635, 779, 919?\nAnswer: 1055","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (714\/(-136))\/(156\/1456)\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 5*l - 2905, 4*l - 7*q - 1558 - 778 = 0. What is the lowest common multiple of 8 and l?\nAnswer: 4616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*f**4 - f**2 - 3591165*f - 16557660.\nAnswer: 8*f**3 - 2*f - 3591165","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 42629 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02 less than -3472798202158?\nAnswer: -3472798202158.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1316 - 328. Let k be (-1)\/(-3) + (-5)\/(-3). Suppose 0 = k*m + 5*n - s, 4*m - 951 = -2*n + 1041. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -110 divided by 48?\nAnswer: -55\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) -90 (c) -325\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -21 (base 7) to base 15\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -4*w + 2*o, 3*w + o + 2*o - 12 = 0. Sort -0.1, -1, w.\nAnswer: -1, -0.1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 33 - 27 = 2*l, -5*z + 82 = l. Suppose 0 = -5*y + y - z. Let a(i) = 2*i + 6. Let g be a(y). Which is smaller: g or 2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the second derivative of y**5\/60 - 3*y**4\/4 + 100*y**3\/9 - 50*y**2 + 49*y - 26. Determine z so that d(z) = 0.\nAnswer: 2, 10, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -16*x + 2. Let k = -5 - -2. List the prime factors of l(k).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 44.3, -0.3 in decreasing order.\nAnswer: 44.3, -0.2, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 5*v + 25 = -l, 0 = -l - 5. Suppose -2*h = -m + 6, -3*m - 3*h = -v*m + 8. Let a = -4.05 + 0.05. What is the biggest value in 15, a, m?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -2\/17 = 20085\/413?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 74 + -25?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 55 in -3\/49, 1\/3, 0.3, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2976\/13888 + (-95)\/574?\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**3 - y**2 + y - 2. Let p(w) = 2*w - 3. What is -2*p(g) + 3*t(g)?\nAnswer: -3*g**3 - 3*g**2 - g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-7) + (-32)\/210. Let o = 0.23 - 2.23. Let m = 5 - 1. Which is the closest to o? (a) m (b) 0.4 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 125394527 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 2093.1 rounded to the nearest ten?\nAnswer: 2090","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8\/2 - (0 - (-205 - 3)). Let m = 224 + f. Which is smaller: m or 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 43356634?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 67262990*l**3 + 151224453*l**2?\nAnswer: 403577940","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:12 AM and 5:56 AM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*(((-2)\/(-5))\/(721\/1545))\/((-9)\/105)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 35294.82 weeks to milliseconds.\nAnswer: 21346307136000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vmw when three letters picked without replacement from mvw?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3512431 to the power of 1\/3, to the nearest integer?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 + 6 = -4*b + 1 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1934887505 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:17 PM and 4:15 AM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 89817.\nAnswer: 3, 7, 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10060732 and 3288.\nAnswer: 60364392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*c = 157 - 7. Solve 3*y - c = -n - n, 0 = 3*n - 3*y for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q**2 - 712*q + 1408 = 0. Calculate q.\nAnswer: 2, 176","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00078 times 2?\nAnswer: 0.00156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 8\/(-6) + (-2)\/(-6). Let f be 4 + a - 1\/(-1). Suppose -10*d + 16 + 24 = 0. What is the highest common factor of f and d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 148399 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17 + -7. Calculate the remainder when h is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uupu. What is prob of sequence uuu?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2175629 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - 2 - (2 - -11 - 4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.186 * -0.6\nAnswer: 0.1116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 22*v**4 - 2*v**2 + 2*v**2 - 6*v + 3*v wrt v?\nAnswer: 264*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73*w + 2972 = 4*a + 77*w, -5*a + 2*w + 3680 = 0. List the prime factors of a.\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 61910, 123697, 185482, 247265?\nAnswer: 309046","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 137 = 4*x + 2*q - 5*q, 2*x = -2*q + 58. Let o = x - 5. Suppose 3*i = 4*z + o, 5*i = -0*i + z + 45. What are the prime factors of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqnnqqnnqqqn. What is prob of sequence qn?\nAnswer: 35\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 times 28.452?\nAnswer: 256.068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (1 - (1 - 1)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 9\/42257?\nAnswer: 9\/42257","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 2*n**2 - 43*n + 33. Calculate the remainder when 23 is divided by y(21).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -2*f**3 + 2*f**2 - 216. Let u be m(0). Which is bigger: u or -217?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 139 and 5?\nAnswer: 695","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 0*g + 0 - 6*g + 4*g + 5. Suppose 0*o + 15 = -5*o. Let p(n) = -n + 3. What is o*j(l) + 5*p(l)?\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**2 + 1363*v - 6778. Let u be a(5). Solve -5*n + 15 = -3*s, -u*s + 3 = n - 66*s for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5002 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + k + 17 + 134 = 0, p - 83 = -k. What is the tens digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 604 + -602. Solve -3*a - m = -2*a + 3, z*m = a - 6 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 d, and 1 j when three letters picked without replacement from dntjjtjddj?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.028 + 58229.\nAnswer: 58228.972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 158, 165, 184, 221, 282, 373, 500?\n\"Answer: t**3 + 157","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 36535548991 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3\/4, -508, 0.01?\nAnswer: -508","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -356, -1289, -3338, -7061, -13016, -21761?\n\"Answer: -93*t**3 - 282*t + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7 - -2719 - 1 - (-6 - -1)?\nAnswer: 2, 3, 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-22\/7)\/(s**(-19)*s)*(s\/s**33*s)\/s*s*s**(-1\/31)*s*s)**(-2\/31) assuming s is positive.\nAnswer: s**(6152\/6727)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -24*l**2 + 636*l + 2837. Determine y(-4).\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((-1*(-1 + sqrt(17))**2 - (2*sqrt(17) + -1)**2) + 0 - ((3*(sqrt(136) - (sqrt(136) - (sqrt(136) + -1*sqrt(136)))) + sqrt(136))\/sqrt(8) + 5)**2).\nAnswer: -134 - 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1808344 millennia to months.\nAnswer: 2170.0128","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/(-4 - -1)*5. Put t, 4, 1 in increasing order.\nAnswer: t, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the second derivative of x**4\/6 - 2*x**3\/3 + x**2 - 2*x. Let q be t(3). Let j = q + 0. Is j a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -106*i**2 - 1748*i + 1748*i + (-i**2 + 2*i - 2*i)*(4 - 2 - 1) to the form l*i + p + q*i**2 and give q.\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 162 = 2*q, -5*j - 162 = -4*q + 162. What are the prime factors of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*t**3 + 15*t**3 + 43*t**3 + 2*t**2.\nAnswer: 54*t**3 + 2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -177702, -355407, -533112, -710817?\n\"Answer: -177705*l + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:49 AM and 1:34 PM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**2 - 7*z - 4. Suppose -134 = 5*n - 2*j, 4*n + 112 + 9 = -3*j. Let i be n\/(-18)*3*6\/(-4). Determine y(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19160545?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (54*l + 45*l - 59*l)*((1 + 2 - 1)*(1 + 3 - 2) - 1 + 4 - 4 + 4 + 1 - 7 + 4 - 1 - 6)*(-3*l - l + 5*l) as r*l + a*l**2 + t and give a.\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/14 + ((-27311)\/1762)\/(203\/8)?\nAnswer: 3\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:40 AM and 10:32 PM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -61*l**2 + 2*l + 0*l + 58*l**2 - 7*l in the form k*l + q*l**2 + t and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9215 + 9215 - 6*r**2.\nAnswer: -6*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 260, 265, 270, 275?\n\"Answer: 5*n + 255","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 9 + 42\/(-35)*-20. Suppose -3*r = -h - 10 + 29, -5*r - p = -3*h. Let k(d) = d**3 + 5*d**2 - 4*d + 4. Determine k(r).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 582 and 49.\nAnswer: 28518","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 82646 and 12988752.\nAnswer: 402651312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 160 = -19*w. List the prime factors of 2*(-5 - (-1025)\/w).\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x - 2*x + 54 = 2*z, 69*z = 64*z - 4*x + 33 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - 5 - 5. Let m = -7 + p. Suppose 3*z + 23 + 0 = 2*v, 18 = m*v + z. Calculate the greatest common divisor of v and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9? (a) 4\/11 (b) 0.2 (c) -2\/13 (d) -145\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = -5*l + 16. Put 0, -5, l in descending order.\nAnswer: 0, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -12 + 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*o = 15*o - 4. Suppose -5*l - o*j = -591, 3*j - 58 + 421 = 3*l. Is l a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.240291 rounded to 4 decimal places?\nAnswer: -0.2403","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 5128844*h. Let i(v) = 2*v. Determine a(i(d)).\nAnswer: 10257688*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 400767.5874 to the nearest ten.\nAnswer: 400770","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -2154 - 137*y + 2154 in the form d + b*y and give b.\nAnswer: -137","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -433 - 137 = -5*x. Suppose -6*c - x = 354. Let r be c\/(-33) + (-4)\/22. Is r not equal to 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 36*x + 6. Let w(j) = 35*j + 5. Let l(h) = 3*d(h) - 4*w(h). Let m be l(2). List the prime factors of m\/(-8) - (-2)\/(-8).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 61 from 0.24756.\nAnswer: -60.75244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**5 - 22*b**4 + 74*b**3 - 90*b**2 + 36*b.\nAnswer: 2*b*(b - 6)*(b - 3)*(b - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**3 + d**2 - d - 1. Suppose -161*x = -156*x - 5. Let m(a) = a**2 + 2*a + 2. Give x*m(o) + 2*k(o).\nAnswer: -2*o**3 + 3*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 19\/16 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*g + 16*g - 7. Suppose -g*o - 44 = -11*o. Calculate the remainder when 85 is divided by o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3381947636?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*o + 11*o**2 - 7*o**2 - 4*o**2 - 8*o**4 wrt o.\nAnswer: -96*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -6*m**3 - m**2 - m - 6. Let y(p) = p**3 + p**2 + p - 1. Let a(b) = g(b) + y(b). Differentiate a(q) wrt q.\nAnswer: -15*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of m**5 - 6787*m**4 - 4329*m.\nAnswer: 20*m**3 - 81444*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -747611*w - 684643*w - 83392*w.\nAnswer: -1515646*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -26*h**3 - h**2 - 3*h - 2. Let p be m(-1). Calculate the highest common divisor of 182 and p.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -378 - -378. Suppose -299*h + 306*h - 14 = p. Solve -h*u = 4*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 5*z. Let w(u) = 1. Let c(b) = -b**2 + 11. Suppose -26 = 3*t - 0*t - 5*j, -4*j + 24 = -4*t. Let k(p) = t*c(p) + 22*w(p). Give k(a(d)).\nAnswer: 50*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**3 - 4*p**2 - 7*p - 8. Let m be v(-4). Let h = -15 + m. Suppose 4*j + k = 8, h*j - 10 = k - 5*k. Solve -j*u = 3*u - 15 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -4*r**2 - r. Let v be l(-1). Let n = -496 - -1486\/3. Which is the closest to n? (a) v (b) 1 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in three tenths of a meter?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5*((-2163)\/(-455) - 6\/39)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3834766453?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o**2 + o**2 - o**5)*(0 + 0 + 2) + 55*o**5 - 1195*o + 1195*o.\nAnswer: 53*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2292 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 f be (36\/(-5))\/(4\/(-40)). Suppose -2*z + f = -54. List the prime factors of z.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f = 4*r - 6, 5*f - 5*r - 13 = -23 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes after 4:40 PM?\nAnswer: 3:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 5)*(1 - (-5 + 1 + 7)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 2 n, and 1 c when four letters picked without replacement from nmyaaanqmmcnamnmmmq.\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*y + r - 6 = 5*y, -4*y = -3*r + 7 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 62*r**2. Let t(k) = -k - 6. Let b(n) = -2*n - 13. Let x(o) = 6*b(o) - 13*t(o). Let f(w) = w**2 - 3*w. Let j(l) = 2*f(l) + 6*x(l). Give j(u(g)).\nAnswer: 7688*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 252 and 476?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 25201392 and 1840?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**2 - 7*y - 6. Let v be x(-7). Let g be ((-1)\/(-15))\/(v\/(-18)). Which is bigger: g or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 50726.2 nanometers?\nAnswer: 50.7262","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 16 = 3*m, 5*m + 4*x - 10 = 14. Suppose 3*o + 37 = -5*j - 0, m*j - 37 = 5*o. Let b be 6\/2 - (-24)\/o. Sort 3, 0, b in descending order.\nAnswer: 3, b, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 93 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4 - ((-171)\/(-4) - -1). Let i = d - -40. What is the biggest value in 5, 2\/11, i?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fbf when three letters picked without replacement from {b: 7, f: 2, z: 6}?\nAnswer: 1\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:44 AM and 6:47 AM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -67 + 72 + (-2 - -1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 20*j**2 - 20 - 15004*j**3 + 7505*j**3 + 7521*j**3 - 21*j - j**5 = 0.\nAnswer: -4, -1, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (45 - -2) + (-47 - 7)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*2*(-15)\/20?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes before 11:29 AM?\nAnswer: 6:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 16*r**2 + 4*r + 3. Let k be x(-2). Let f = k + -233\/4. What is the nearest to -0.2 in -1\/2, -0.4, f?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 85208, 85249, 85292, 85337?\nAnswer: 85384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the first derivative of j**7\/840 - j**6\/180 + j**5\/120 - 13*j**4\/24 - 2*j**3 + 4. Let q(o) be the third derivative of m(o). Is q(9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2\/5)*i)**42 assuming i is positive.\nAnswer: i**(126\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 1 + 5 = 0. Suppose -1 + 43 = n*z. Let h be (4\/(-5))\/(z\/(-5)). Which is the closest to -1? (a) -0.5 (b) h (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 190 a factor of 9928?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the second derivative of 0*m**3 + 0 - 1\/3*m**4 - 65*m - 17\/42*m**7 + 3\/2*m**2 + 0*m**5 + 0*m**6. What is the third derivative of f(v) wrt v?\nAnswer: -1020*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) 1\/2 (c) -13 (d) -31\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*d**5 + 4790*d**4 - d + 35378 wrt d?\nAnswer: 60*d**3 + 57480*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 248579 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -140806428 to the nearest 100000.\nAnswer: -140800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.4 + 1.8. Let q = -3.02 - -0.02. Which is the closest to q? (a) h (b) -0.3 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1494035564 divided by -6?\nAnswer: 747017782\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -17 - -17.5. Let g = -15.5 + 20. Let l = g - w. Which is the third biggest value? (a) -2\/19 (b) l (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2354 rounded to the nearest one hundred?\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (413\/354*3\/(-7))\/((-6)\/(-4)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 58826.22 meters to micrometers.\nAnswer: 58826220000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -323 + 375. Let o be 16\/2*((-91)\/w - 17). Does -152 = o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 47 + (-39 - 28) + -2 + 10\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * -37\nAnswer: -18.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/(-8)*5\/(-10). Is 0 less than or equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 1473*p**2 + 26*p + 418. Let g(t) = 1474*t**2 + 20*t + 419. Let c(z) = 4*g(z) - 3*r(z). Find the first derivative of c(o) wrt o.\nAnswer: 2954*o + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 364847 - -105902. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-10 - -10)\/5)\/((-2)\/(-2)). Solve c = 3*a + a + 8 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1418*l + 32 = -1422*l for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 296069*u**4 - 57075 wrt u?\nAnswer: 1184276*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -356.5482157 to two decimal places.\nAnswer: -356.55","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (((-116)\/(-58))\/88)\/(5\/(40\/(-3)))\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyyffyfyyyyyffyyyyyy. Give prob of picking 4 y.\nAnswer: 91\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-432)\/486*(-2)\/((-4)\/3).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 10350516?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(605) + 3 + -1 + sqrt(605) + 5 + 0)*-2)**2.\nAnswer: 1232*sqrt(5) + 9876","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the third derivative of q**5\/60 - q**4\/24 - q**3\/3 - 39*q**2. What is b(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2449 - 86*j**2 - 2449)*(-2 - 1 + 4)*(-2*j + 3*j - 2*j) to the form f + a*j**2 + g*j + w*j**3 and give w.\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x + 23. Let p be m(0). Let g = 25 - p. Calculate the greatest common divisor of 3 and g.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*x**4 + x**4 - x**4 + (33*x**2 - 135*x**2 - 46*x**2)*(-x**2 + 2*x - 2*x) + x**4 - 3*x**4 - x**4 as o*x + r*x**3 + y + g*x**2 + f*x**4 and give f.\nAnswer: 147","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 5*n - 644 = 0, -203 = i + 4*n - 0*n. Let a = -29 - i. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.185938092 rounded to 5 decimal places?\nAnswer: 0.18594","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 108 and 80118?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*c**2 + 4*c**2 - c**2 - c**2.\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 less than 554538615221?\nAnswer: 554538615218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/(-4))\/(-86 - 561429\/(-6534))?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 c, and 1 z when three letters picked without replacement from czizwii.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 n when two letters picked without replacement from yqtyftdn?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-38)\/76 + (-2)\/(-4)*11. Sort z, 3, 81, -5.\nAnswer: -5, 3, z, 81","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 80 + -70 + 1*(-4 + -4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**2 + 8*s - 15. What is n(6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1155 * 171.64.\nAnswer: 198244.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 210*x**4 + 241 - 242 + 171*x**4 + 0*x**4 + 2*x**4 + 3*x**4 + (-x**3 + 0*x**3 - x**3)*(2*x + 5 - 5).\nAnswer: 382*x**4 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 280*u + 276*u - 831*u + 279*u.\nAnswer: 4*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 460 and 152996.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -164 (base 8) in base 16?\nAnswer: -74","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the first derivative of x**4\/4 - 5*x**3\/3 + 3*x + 3. Let k be h(5). Suppose k*i - i = 14. What is the highest common divisor of 14 and i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (192\/(-9))\/(768\/(-576)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -30 - 2. Let x = 2.73 - 2.23. Sort 2\/5, z, x in ascending order.\nAnswer: z, 2\/5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1715797.2 to the nearest 1000.\nAnswer: 1716000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h - 4 = 7*h. Suppose h*v = v - 9. Is v at least -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**2 - k + 1. Let b(d) = 5*d**2 - d - 3. Let h(j) = b(j) + 4*i(j). Let z be h(5). Let x be (-1)\/(2 + 64\/(-62)) + 1. Is z <= x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2504 + -1341. Let i = v + -810. Suppose i + 1231 = 11*x. What is the tens digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*u**3 - 29*u**2 + 122*u + 33*u**2 + 5*u**3 + 35*u + 3 as h*u**2 + j + r*u**3 + g*u and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13 - 7. Let r = l - 3. Let s be (6 + -1)*8\/10. Which is the third smallest value? (a) -5 (b) r (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -297.9433503 rounded to the nearest 10?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = 5*n + 2*o - 3137, -2536 = -4*n - 3*o. What is the tens digit of (0 - n)*(-5 + (-9)\/(-2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 989658 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -270, 163, -13 in descending order.\nAnswer: 163, -2, -13, -270","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*d**2*h**2 - 78*d*h**2 - 13*d + 646*h**2 + 34 with respect to d.\nAnswer: 6*d*h**2 - 78*h**2 - 13","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 19*t. Let c(m) = -26*m**2 - 42*m + 3387. Calculate c(k(n)).\nAnswer: -9386*n**2 - 798*n + 3387","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 306610890.\nAnswer: 2, 3, 5, 179, 57097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*f*i*o**4 + f*i + 7*f - 2*i*o**4 + 2*i + 42*o**4 - o**2 wrt o.\nAnswer: 72*f*i*o - 48*i*o + 1008*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 r when four letters picked without replacement from {r: 16, t: 4}?\nAnswer: 364\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 0 - 47 + 2 + q**2. Calculate the least common multiple of 70 and c(7).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 5, z: 4, c: 2}. What is prob of picking 1 z and 1 r?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -27\/32 and 57\/32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -10*c**3 - 36*c**2 + 6*c + 2. Let y(x) = 11*x**3 + 36*x**2 - 8*x - 2. Calculate 4*y(a) + 5*z(a).\nAnswer: -6*a**3 - 36*a**2 - 2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes after 8:44 AM?\nAnswer: 12:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 5*f. Let t(p) = 663*p - 663*p + 3*p**2. Give r(t(u)).\nAnswer: 15*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -101960563 to the nearest 10000.\nAnswer: -101960000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Total of -11 and -0.635.\nAnswer: -11.635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000353362167 to seven decimal places.\nAnswer: -0.0000353","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 123*b + 87*b + 113*b + 6313 = 264*b for b.\nAnswer: -107","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 12.5, 4, -3, 7, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1741850.74 and -0.2.\nAnswer: -348370.148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 163916?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 16 = -5*r. Let c = -286.661 + 286.761. Sort 1.2, c, r in descending order.\nAnswer: 1.2, c, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.5, -0.172, -10.4, -5928\/7?\nAnswer: -0.172","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -18?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 7 = 15. Find the third derivative of w**4 - 34*w**2 - 16*w**4 - 11*w**g + 3*w**4 wrt w.\nAnswer: -552*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.4 - -14448.5527036?\nAnswer: 14446.1527036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 575634*k**2\/7 + 2302533*k\/7 - 12\/7 = 0.\nAnswer: -4, 1\/191878","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 2 r when four letters picked without replacement from meeermirrs?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -4*m + 5 + 3, 0 = -3*g + 3. Suppose -5*r + 19 + 26 = 0. Let o = r + -7. Solve f - o - m = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v + v + 3*v)*(737 + 5588*v - 2790*v - 2799*v).\nAnswer: -2*v**2 + 1474*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-47*m**2 + 14*m**2 - 34*m**2)*(0 - 32 + 2).\nAnswer: 2010*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -3, -0.5, -0.03, -99, -1\/6?\nAnswer: -99","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(66) - -2*sqrt(66)*-6)\/(sqrt(12)\/(-1*sqrt(2))))**2*-2.\nAnswer: -2662","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25248913.\nAnswer: 971, 26003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 126092 take away -40?\nAnswer: 126132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -3*r**2. Let f(u) = -29 + 29 + 6*u**2. Calculate f(w(o)).\nAnswer: 54*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 229937.\nAnswer: 229937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11414411311 - 1?\nAnswer: -11414411312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*d**4 + 92175*d**3 - 184370*d**2.\nAnswer: 5*d**2*(d - 2)*(d + 18437)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 + 1 + (4 + 0 - 2)*(2 - 5 + 2) - 1 + 0 + 2 - 4 + 4 + 2)*(2*f**4 - 6*f**2 + 4*f**2 - 3*f**4).\nAnswer: -5*f**4 - 10*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3\/(-2)*-20)\/2. Suppose 3*o + a = 2*y, 0*o - 4*o + 20 = 4*y. What is the third derivative of 3*l**5 - 2*l**5 + 4*l**5 - y*l**2 wrt l?\nAnswer: 300*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes before 9:16 PM?\nAnswer: 11:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -6 - -12 - 3 - 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -535, 3.\nAnswer: -535, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*sqrt(99)*2 - (sqrt(99) + 1*(sqrt(99) - -1*sqrt(99)) - sqrt(99)))*-6)\/(sqrt(36)\/(sqrt(4) - sqrt(12)\/sqrt(3)*2)*3).\nAnswer: 20*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000026233 rounded to 6 decimal places?\nAnswer: -0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 4*i + 6 - 3*i - 3. Let d(j) = -j**3 + 18*j**2 - 3*j + 56. Let m be d(18). Let c(x) = -x - 7. Let u(a) = m*c(a) + 5*q(a). Differentiate u(r) wrt r.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/(-10)*(-285)\/456. Let s = 2.9 - 3. Let u = s - -0.1. What is the closest to -2 in u, r, 8?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 0, -0.2, 4, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**2 + t. Let i(w) = w**3 - 7*w**2 + 7*w - 2. Let f be i(6). Suppose v + f = -1. What is the remainder when 38 is divided by z(v)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 10*i**3 + 5*i**2 - 5*i + 9. Let v be g(2). Is v at most 99?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20 + 10010000202?\nAnswer: 10010000222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -567 - 5*m + 567.\nAnswer: -5*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(28) - (sqrt(4032)*1 - sqrt(28)))**2 + (-1 + sqrt(3388) - sqrt(3388))**2 - (-5 + -5 + sqrt(28) + 2 + sqrt(28))**2.\nAnswer: 64*sqrt(7) + 2625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -59.876 - -60. Let h = -0.366 - z. What is h rounded to 1 decimal place?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -1442*q + 522029. What is f(362)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.4 (b) 0.08 (c) 0.2 (d) 229 (e) -0.3 (f) 6\/13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9796*r**2*x**2 + r**2 + r*x**2 + 2*r*x + 608*x**2 + 1 wrt r.\nAnswer: -19592*x**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.31 + -0.04. Let c = -17.97 - -18. Let o = c + b. Round o to zero dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2434493 divided by 9.\nAnswer: 2434493\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.15474458 + -0.35374359. Let h = g - -0.199. What is h rounded to seven decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 237733218 and 270.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 15480 (base 13) in base 12?\nAnswer: 1b406","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2700, 2201, 1362, 189, -1312?\nAnswer: -3135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the second derivative of -z**5\/120 + 5*z**3\/6 + 13*z. Let v(h) be the second derivative of d(h). Let m(x) = -11*x**2. Calculate m(v(y)).\nAnswer: -11*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 78527855?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and -0.414.\nAnswer: 1.656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 269097 to the power of 1\/2, to the nearest integer?\nAnswer: 519","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 - 1. Let a be ((-1)\/5)\/(16\/20). Let s = -1 - -0.7. What is the nearest to q in -1\/8, s, a?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8857 - -0.7019921925.\nAnswer: -8856.2980078075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 + 1212010000?\nAnswer: 1212002212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 0.3, 3, 647, -2\/15?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(700) - (-4 + sqrt(700)) - sqrt(700))*4 + sqrt(700) + 1*2*sqrt(700)).\nAnswer: -10*sqrt(7) + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 718519\/3 or 239505?\nAnswer: 239505","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-5)\/((-105)\/78) + -5)*-7. Solve -l*x - 3 = -6*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the first derivative of 0*s**6 - 4*s**4 - 16*s - 4\/3*s**3 + 0*s**5 - 2\/7*s**7 + 0*s**2 - 43. Find the third derivative of r(l) wrt l.\nAnswer: -240*l**3 - 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2094450864?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 27736, 55562, 83390, 111220, 139052, 166886, 194722?\n\"Answer: t**2 + 27823*t - 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 31069 - 31069.5. What is the third smallest value in 1\/2, 8\/49, -0.4, u?\nAnswer: 8\/49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - 1) + -7 + 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 37839344?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 8059665 greater than or equal to 8059665?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 - -10. Let r be (-2 - (-2)\/(-2)) + h. Suppose r = 2*g - 2*c - 40, 2*g - 3*c - 23 - 17 = 0. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*i = 21*i + 166. Let f = -79 + i. Suppose d + o - 7 = 0, -2*o = 5*d - 0*o - 47. Calculate the remainder when d is divided by f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 r when two letters picked without replacement from {t: 1, r: 1, a: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + 42*i - 41*i - 71*i**4 + 74*i**4 + 37*i**3 + 2*i**2 - 241*i**3 as t*i**2 + h*i**4 + q*i + m + v*i**3 and give m.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-632)\/(-6004) - (-116)\/342?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11767 or -11766?\nAnswer: -11767","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6, -13, -68, -177, -358, -629, -1008, -1513?\nAnswer: -2162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes before 2:29 AM?\nAnswer: 5:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 - 12222021?\nAnswer: -12222013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000001463711 rounded to seven dps?\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -200 + 200.2. What is the nearest to -3\/5 in c, -0.13, -4?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 2*w**2 - 20*w - 1203. Let g be n(38). What is the greatest common divisor of g and 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 23, 0, -2220 in decreasing order.\nAnswer: 23, 0, -2220","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -3*j + 3, 3*s = 7*j - 2*j - 1. Sort -2, s, -1 in ascending order.\nAnswer: -2, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -438 (base 11) in base 3?\nAnswer: -201110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 85069 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -7986, -8010, -8034, -8058?\n\"Answer: -24*i - 7962","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 252 and 144.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/583 and 101\/16748.\nAnswer: 184228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 3*h + 12 = 0. Let u be (h\/(-9))\/((-3)\/117). Let n(z) = -z**2 - 14*z + 18. List the prime factors of n(u).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -21 + 27. Differentiate -3 - j - 20*c - 5 - 2*c wrt c.\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**3 - l**2 - l + 3. Let q be w(0). Factor b**5 + q*b**4 + 0*b**5 - 3*b**4 - b**3.\nAnswer: b**3*(b - 1)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 8*((-815)\/(-5) + 10 + -7). Calculate the greatest common factor of 1079 and j.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + 1 - (5 + 1 + -4).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 d when two letters picked without replacement from {d: 10, n: 1, c: 4, v: 3}.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 52147896 to the nearest integer?\nAnswer: 7221","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1234 divided by 6\nAnswer: 617\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5031284?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 142 and 2828498.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 106, 492, 1142, 2062, 3258?\n\"Answer: k**3 + 126*k**2 + k - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -3012, -3006, -2980, -2922, -2820, -2662, -2436?\n\"Answer: 2*c**3 - 2*c**2 - 2*c - 3010","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -610945 take away -77535?\nAnswer: -533410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 10\/3 (b) -11 (c) 36 (d) -2\/9 (e) -0.2 (f) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 5*z + 10, -5*q - 15 + 5 = 5*z. Suppose q*u = 9*u - 495. What is the remainder when u is divided by 15?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 920849?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -14*x + 1. Let f be n(2). Let p = f + 60. Suppose -3*u = -39 - p. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2.8 and -0.05.\nAnswer: -2.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*i + 4 = 10*i. Suppose -368 = -6*j + 8*j + 4*f, i = -f. Let g = -52 - j. List the prime factors of g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.0503 + 78.0503. Which is bigger: o or 0?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(1377) + 1*sqrt(1377)*3))**2.\nAnswer: 22032","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -1\/2, -2\/111, -3, -24 in increasing order.\nAnswer: -24, -3, -1, -1\/2, -2\/111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*j = -0*j + 943. Calculate the remainder when j is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, m: 1, r: 3}. What is prob of sequence ppp?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-29)\/(-1))\/(33\/(2409\/73))?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1788716.\nAnswer: 2, 447179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 i when four letters picked without replacement from iioiiiiioiiiiiiiii?\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22176 is divided by 24?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 441.5969 micrometers?\nAnswer: 0.0004415969","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**3 + 6*u**2 + 3. Let f(l) = l**3 - 7*l**2 + 4*l + 6. Suppose -4*q + 10 = 2. Let x be 1*-1 + 5 + q. Let b be f(x). Calculate s(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes after 6:39 PM?\nAnswer: 9:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 351.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*c**2\/5 + 558376*c\/5 + 372252\/5.\nAnswer: -(c - 186126)*(3*c + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -229, -520, -811, -1102, -1393, -1684?\n\"Answer: -291*o + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (2085\/25)\/(11\/55)?\nAnswer: 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**3 + 72*k**2 + 601*k + 184. What is the tens digit of y(78)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(49)\/((1*sqrt(63))\/sqrt(9)))**2 + (1*sqrt(3087))\/sqrt(9).\nAnswer: 7 + 7*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 - 5055?\nAnswer: -5054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 3*t + 17 - 2 - 2*t + 1. Let q be a(-7). Let g = 13 + q. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:12 PM and 6:21 PM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2043376 to the power of 1\/2, to the nearest integer?\nAnswer: 1429","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -117, -120, -125, -132?\n\"Answer: -m**2 - 116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yvy when three letters picked without replacement from {y: 3, a: 5, p: 3, v: 5, b: 1, l: 1}.\nAnswer: 5\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 47896, 96049, 144204, 192361, 240520?\n\"Answer: b**2 + 48150*b - 255","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 10 + (1 + 1)\/(-2). Suppose 4*c = -772 + 880. What is the greatest common divisor of o and c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (6\/(-12))\/(1\/(-36)). Let q = i + -11. Solve -2*j + q*j - 15 = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 3*m**2 + m. Let n be 2 + (-2 + 0 - -1). Let s = n - 0. Determine r(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 92*o**2 + 4*o + 5. Determine c(-1).\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the first derivative of 0*y - 3 - 5\/2*y**2. Let w(v) = -2*v. Determine w(u(o)).\nAnswer: 10*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -602*v**5 + 272*v + 1 - 616*v**4 + 306*v**4 + 310*v**4 - 3*v**3 wrt v.\nAnswer: -12040*v**3 - 18*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(216) - -1*sqrt(216))*1 - sqrt(216))\/sqrt(8).\nAnswer: 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 2*m - 27. Let h be c(16). Suppose -2*j + 3*j + 1 = 0. Let l = 5 + j. Which is greater: h or l?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -130 + -3?\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + (2 - -4) + 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m**(-5)\/m))**(14\/5))**(-2\/169) assuming m is positive.\nAnswer: m**(-196\/845)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/57 and -81\/8645?\nAnswer: 25935","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 20 = k, 4*k + t = -3*t + 40. Let i(q) = q**2 + q + 23. Let m = 7 + -7. What is the remainder when i(m) is divided by k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.71, -0.2, -0.1, 1\/306, 4?\nAnswer: -0.71","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q*q**5)*q)**(-1\/22) assuming q is positive.\nAnswer: q**(2\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 377363 to the power of 1\/2, to the nearest integer?\nAnswer: 614","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 97 or -515564?\nAnswer: 97","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -517.67 rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3345, -13670, -30885, -54996, -86009, -123930, -168765?\nAnswer: -220520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2042*f**2 + 6*f\/13 = 0. Calculate f.\nAnswer: 0, 3\/13273","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1*-1)\/((-3)\/30). Let t = f + -8. What is the smallest common multiple of t and 9?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 27 and 6120.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -2*a + 189. Let g(r) = -2*r + 190. Let m(z) = 5*g(z) - 6*s(z). Let j(t) = -3*t**2. Calculate j(m(b)).\nAnswer: -12*b**2 + 2208*b - 101568","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -287.11 + 285. Let k = u - -0.11. Sort k, -4, 4 in ascending order.\nAnswer: -4, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8167137?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 223, 2.\nAnswer: -2, 2, 223","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3211908?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1192 is divided by 40?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v + 6 - 22. Let p(r) = 8*r - 5 - 20*r + 13*r. Let d be p(v). Sort 3, 1, d.\nAnswer: d, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.041 times -7.9\nAnswer: 0.3239","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 284070 and 71230.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sum 18125024 and 183.\nAnswer: 18125207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 154229, 153995, 153613, 153089, 152429, 151639, 150725, 149693?\nAnswer: 148549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2*15\/42*(-9)\/(-15). What is the second biggest value in -2\/15, a, -2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 765 and 51.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1, 0.5, -2, 3, -6\/5, -125\/3?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 1\/2*f**2 - 8 + 15\/2*f = 0?\nAnswer: -16, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**1*d*d\/d**(-2)*d*d**(1\/7)*d**(2\/11))\/((d*d**7)\/(d\/(d**(-3\/2)\/d))*(d**(2\/7))**36) assuming d is positive.\nAnswer: d**(-1303\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - ((-5)\/50*4 + 23\/(-5))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -27.\nAnswer: -4\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 - 5. Let l = a + 4. Let k(b) = b - 9. Let d be k(8). Is d less than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 88 - 89 - (-2 - (0 - 1))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -0.7, -0.11, -6 in increasing order.\nAnswer: -6, -0.7, -0.11, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and 416?\nAnswer: 832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2\/9)*v\/(v*v**(-1\/5))*v)**(-36\/7) assuming v is positive.\nAnswer: v**(-176\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22, -40, -58, -76, -94, -112?\nAnswer: -130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 equal to 895?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 5120389 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence riz when three letters picked without replacement from {z: 4, y: 1, r: 1, i: 3, j: 5}?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 399462 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 68 and 102.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 95 + -187. Let x = -53 - d. Is x a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 579842, 1159629, 1739416, 2319203?\nAnswer: 2898990","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 135569 is divided by 6451?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-350)\/400 + 1\/1. Sort 0.4, -2\/141, -2\/7, k.\nAnswer: -2\/7, -2\/141, k, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a + 1. Let j(u) be the third derivative of -3*u**4\/8 - u**3\/3 + 2*u**2 - 56. What is j(r) + 6*s(r)?\nAnswer: -3*r + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 152\/114 - (-1 + 52\/(-72)*-15)?\nAnswer: -17\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.194626 - 3.3.\nAnswer: -3.105374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a**5\/2 - 34*a**4 + 1153*a**3\/2 + 103*a**2 - 1802*a + 1156 = 0. What is a?\nAnswer: -2, 1, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 233962.\nAnswer: 2, 116981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/3, 1\/3, 0.08, -4, -3 in increasing order.\nAnswer: -4, -3, -1\/3, 0.08, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 5*u + 5*t - 56, 0 = 4*u + 4*t - 48. Let j = 8 - u. Is (j - 10\/8)*-148 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d = 948 - 1242. Let b(v) = 38*v**2 - 1 + d*v**2 - 54*v**2. Let u(j) = -4*j**2. Determine b(u(m)).\nAnswer: 528*m**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 10\/3? (a) -0.3 (b) 2416 (c) -755\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -46\/5 - -272\/35. Let r be (-4)\/(-12)*(204\/(-28) - -4). Let b = d - r. Sort 0.3, -1\/9, b in descending order.\nAnswer: 0.3, -1\/9, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 843*q**3 + 745*q**3 - 1871*q**3.\nAnswer: -283*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**2 + 7*g - 40. Calculate n(6).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1 + sqrt(9072))*6)**2 + 3)*-3.\nAnswer: -979893 - 7776*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 50.71772l?\nAnswer: 50717.72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, -2, -0.157, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 80379287 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -8750*a**3 - 6*a**2 + 768*a - 138098083 wrt a?\nAnswer: -26250*a**2 - 12*a + 768","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((21\/(-12))\/(-7))\/(((-195693)\/(-344))\/41)?\nAnswer: 2\/111","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5710 is divided by 109?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2586 is divided by 22.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -622 * 3155\nAnswer: -1962410","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 2 = -0. Find the third derivative of 0*z**2 + 2*z**5 + 2*z**f + z**2 wrt z.\nAnswer: 120*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3581914778?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -13*l - 13. What is r(14)?\nAnswer: -195","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15104 + 2017 = -23*g. Let v = 581 - g. Let j(u) = u**2 - 12*u - 11. Give j(v).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -17 - -20. Let w(r) = -r - 1. Let u be w(-3). Which is the second smallest value? (a) g (b) u (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11468 and 101809?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 234\/27*2*3*75\/150.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -766 + 2580. List the prime factors of i.\nAnswer: 2, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1 + sqrt(17) - sqrt(17))*4)**2 - -2*(sqrt(17) + -1 - sqrt(17)) - ((sqrt(17) - (-1*sqrt(34))\/sqrt(2)) + -5)) + 2.\nAnswer: -2*sqrt(17) + 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-165)\/220)\/(2\/(-8))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 13*g**2 - 3*g - 12. Let v(d) = d**3 + 3*d**2 - 7*d - 11. Let z be v(-2). What is the units digit of m(z)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 195 = -5*b, 15 = 3*c - 0*c. Let i be (-64)\/b*5\/(-2). Calculate the remainder when 13 is divided by (-4 + i + 1)*7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 755 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*n - 1719 + 6991. Let j = -475 - n. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + 2 + (5 - (-2 + -1 + 3)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1580 and 698044.\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6*8\/18*3 and 5?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u - 21*u - 48 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**3 - 7*s**2 - 5*s - 9. Let z be w(-6). Let f = 0.52574 - 0.92574. Put f, 8\/5, z in decreasing order.\nAnswer: 8\/5, f, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 70143700?\nAnswer: 2, 5, 11, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 24*q**2 - 39*q**2 + 24*q**2 - 2*q as f*q + i + n*q**2 and give n.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 31 + (-15 + 13 - 11)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 251 and 176955?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*c - 977 - 952 + 1933.\nAnswer: 31*c + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 4*b - 4. Let s(k) = -12*k - 2. What is the smallest common multiple of s(-1) and b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.0255 and -113.\nAnswer: 2.8815","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 2*d**2\/11 + 248*d + 2726\/11 = 0.\nAnswer: -1363, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/9 (b) -2\/15 (c) 223\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**2\/2 + 555*t\/2 - 2871.\nAnswer: -3*(t - 174)*(t - 11)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-2))\/(2*-1*39\/390)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**3 + 147*m**2 - 300*m - 32844.\nAnswer: 3*(m - 14)*(m + 17)*(m + 46)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 41 - 39. What is the second biggest value in 2\/17, s, 0?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -c - 6*j + 2, 4*c = j - 1. Let r(o) = 0*o**3 + o**3 - 4 - 6*o**2 + 5*o + c*o**3. Determine r(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -3*i + 29. Let r be y(10). What is the biggest value in 2, r, -66?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3\/11, -4, 2\/7, 2\/13, -29, -8?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**3*f)**43\/((f*f\/(f*f*f*f**4*f))\/f)**(-33))**(-30) assuming f is positive.\nAnswer: f**1770","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 - -12. Calculate the smallest common multiple of 11 and p.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -59 + 38. Let u(f) = -2*f**2 + 19*f - 31. Let c be u(7). Sort c, t, -3, -2 in descending order.\nAnswer: c, -2, -3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h - 5*h = -75*o + 77*o + h, o - 5*h - 36 = -o for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add -266 and 5851.\nAnswer: 5585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hkkhhhh. Give prob of picking 1 k and 1 h.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(((sqrt(378) - (sqrt(378) + sqrt(378)*5))*-5 + sqrt(378))\/sqrt(6) + (-2 + sqrt(1008) + 2 - (sqrt(1008) - 2*sqrt(1008))*4)**2).\nAnswer: 78*sqrt(7) + 25200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.05? (a) 1\/2 (b) 155 (c) -0.5 (d) -4\/5 (e) 224\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -135*u. Let y(z) be the first derivative of -z**2\/2 - 120. Determine y(n(l)).\nAnswer: 135*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 105*y - 150. Let l(t) = 4*t - 5. Let f(w) = -b(w) + 30*l(w). Let v(u) = -165*u. Give f(v(g)).\nAnswer: -2475*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 3.6 (b) 1\/3 (c) -48 (d) -124\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 821*t**2 - 1 + 971*t**2 to the form l + a*t**2 + i*t and give a.\nAnswer: 150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:12 AM and 10:36 AM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 46042, 45925, 45814, 45709, 45610?\n\"Answer: 3*s**2 - 126*s + 46165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 66739\/5 at least 8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the second derivative of -a**6\/120 + 3*a**5\/40 - a**4\/12 - a**3\/4 + 5*a**2\/8 + 258*a. Factor v(n).\nAnswer: -(n - 5)*(n - 1)**2*(n + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 3*m = -12, 3*m = -3*c - 0*m + 6. What is the least common multiple of c and 371?\nAnswer: 1113","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65008039 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**4 - q**3 - q**2 + q - 1. Let d(z) = 15*z**4 + z**3 + z**2 - 6*z + 1. Let u(c) = -d(c) - l(c). Find the second derivative of u(x) wrt x.\nAnswer: -192*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 2*l**3)*(-54 + 93 + 535 + 83).\nAnswer: -1314*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2 + -3)\/(4 + -5 + 2). Let b be (-1)\/(-3) - (-11)\/(-51). Is b < g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1058843 - 2*x**4 + 1058844 + 0*x + 24*x**3 + 22*x to d + n*x**3 + g*x + y*x**2 + z*x**4 and give g.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 152.315nm?\nAnswer: 0.152315","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 53040144 a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5730 - -5908. Is 887\/5 > q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -34, -254, -848, -2002, -3902, -6734, -10684?\nAnswer: -15938","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1169 - 1164. Solve 0*n + f*n + q + 3 = 0, n + q + 3 = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**3 - 5*d**2 + 7*d + 3. Let x be i(-6). Let u be (x + 3)\/(-1)*1. Let j(c) = 3*c - 9*c + u*c. Let w(h) = 2*h**2. Calculate w(j(a)).\nAnswer: 72*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ouuu when four letters picked without replacement from {h: 1, u: 4, o: 6}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*d + 368 = -37*d. Suppose d = -5*i + 9*i. What is the tens digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.2 + 0. Let s = 20 - 22. Which is the closest to 2\/5? (a) -0.5 (b) l (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6, -17, -26, -27, -14?\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*j - 54037 + 53939 = 0 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4913, 9800, 14651, 19466?\nAnswer: 24245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*w = -8*w + 210. Let a(d) = -17 + 2*d - 10 + d. Let p be a(w). Solve j - p = -2*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 124*c = -916310 + 350746. Round c to the nearest one thousand.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(1872) + 1 + sqrt(1872) - sqrt(1872)) + (-1 + sqrt(1872))*3 + sqrt(1872) + -1 + -3 + -2 + 1)**2.\nAnswer: -240*sqrt(13) + 46804","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-7)\/4 + 132066\/696 is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1814818.\nAnswer: 2, 17, 53377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2 + 5*m**3 - 12 - 5*m + m**2 + 9*m**2.\nAnswer: 5*(m - 1)*(m + 1)*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(50)*-6 - (sqrt(2) + sqrt(24)\/(sqrt(12) + sqrt(588)))**2) + 5 - -4*(((sqrt(162) + -1*sqrt(162))\/sqrt(9))\/(sqrt(144)*-2))**2.\nAnswer: -30*sqrt(2) + 79\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 78558 is divided by 162.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zkuumduzzzuvumvdz. What is prob of picking 4 k?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 9*j - 22*j + 11 + 12*j. Let z(y) = -y + 10. Let l(b) = -2*s(b) + 3*z(b). Let t be l(8). Put t, -5, -4, -2 in descending order.\nAnswer: t, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -52 + -155. Let q = b + 623\/3. Factor -2\/15*a**4 - q*a**3 + 0 - 8\/15*a - 16\/15*a**2.\nAnswer: -2*a*(a + 1)*(a + 2)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/24 of a century in months?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the first derivative of 47*c**7\/840 - c**5\/60 + c**4\/24 + 2*c**3 + 5. Let h(t) be the third derivative of l(t). What are the prime factors of h(1)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/4*(-22)\/(-33)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 + 6.5. Let f be ((-2)\/(-12))\/(6\/8). Which is the closest to 1? (a) f (b) -5 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w - 2*l + 35 = -l, 9*w - 566*l + 563*l + 315 = 0 for w.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000734 rounded to 5 decimal places?\nAnswer: 0.00073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*p**3 - 7*p**3 - 5*p**3.\nAnswer: 2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 45 divided by 43848?\nAnswer: 5\/4872","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - 5*g - 20 = -j, -4*g = 0. Suppose 0*w - 4*w - j = 0. What is the nearest to -0.2 in w, 0.5, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (61 - -63) + -57 + -26?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (6 - (9 - -4)) + 1 + 14 + 8\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 - -6. Suppose 1 = -2*f - 5*u, u + 42 = w*f + 1. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*3*((sqrt(15)\/sqrt(3))**2 + 1) - ((1 + sqrt(405))*6 + 0)**2.\nAnswer: -14598 - 648*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 - -16?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the second derivative of g**4\/3 - g**3\/3 + 3*g**2\/2 - 2*g. Let t be x(2). What is the greatest common factor of 15 and t?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -110, -21, 318, 1033, 2250, 4095, 6694, 10173?\n\"Answer: 21*w**3 - w**2 - 55*w - 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 94\/89 (b) -0.071 (c) 5 (d) 3 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1050 and 560889.\nAnswer: 28044450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/3 (b) -2\/15 (c) 0.18 (d) 5 (e) -0.3 (f) 3911.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-14)\/(-21) - 42092\/(-7602). Let m = r + -11\/181. Let x = 431\/77 - m. Put -1\/7, 4, x in decreasing order.\nAnswer: 4, -1\/7, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -967 - -968.3. Let n = 15327405.7000029 + -15327407. Let p = n + g. Round p to six dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2433943 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 363.\nAnswer: -1\/363","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 550*i*o*p**2*y - 3*i*o*y - i*o - 3*i*y + 17*o*p**2 + 2*o*y - o + 44*p wrt i.\nAnswer: 550*o*p**2*y - 3*o*y - o - 3*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 24?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 97578 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-23 + 21)*(-25)\/200?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/21)\/(200\/3000)*-7?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -956*p**4 - 7*p**3 + 3269*p**2 - p.\nAnswer: -22944*p - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 90 and 1845.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:08 AM and 10:08 AM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -4*z**2 - 127*z + 147. Let x be y(-30). What is the greatest common factor of x and 42?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*o**2 + 4*o**2 - 3*o**2)*(2 - 3 - 1 + (-8 - 11 + 12)*(-19 + 1 - 25))*(-5*o + 3*o + 9*o)*(-1 + 3 + 2) to t + j*o + g*o**2 + x*o**3 and give x.\nAnswer: -8372","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 238*v - 433*v = -8775. Suppose 5*l - 125 = -35. What is the highest common divisor of v and l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15243 is divided by 242?\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the third derivative of l**5\/150 - 104*l**4\/15 - 174*l**2 - 2*l. Factor m(k).\nAnswer: 2*k*(k - 416)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1293 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - 5 - (-2 - -4 - 8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.033 and -10.\nAnswer: -0.33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*w = -6*w + 3*p + 3, 3*w = -4*p - 1 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 4*k**2 + 14*k - 8. Let g(t) = -t**2 - 5*t + 3. Calculate -3*c(o) - 8*g(o).\nAnswer: -4*o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 10*r**4 - 4*r**4 + 9 - 2*r**4 wrt r.\nAnswer: 16*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (15\/(-6))\/(2\/(-4)). Suppose -x*a = -16 - 9. Solve -d = -2*k, 4*d + a - 10 = 3*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 2 - 2 - 108*m**3 + 105*m**3.\nAnswer: -3*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 - 5. Let z(t) = -2*t + 3. Let w be z(m). Let c = w + 4. Which is greater: c or -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-23)\/46)\/(4\/16)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 177*l - 180*l = -36. What is the greatest common factor of 96 and l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 138*n - 273430 = -272878 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 103 + -171. Let d = i - -71. Let a(g) = g**3 - 5*g**2 - 5*g - 4. Let r be a(6). Put d, r, 0 in decreasing order.\nAnswer: d, r, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -87\/7210 and -47\/6597150.\nAnswer: 6597150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 23410144 - -3?\nAnswer: 23410150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -242800 rounded to the nearest one hundred thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.11920255362 and -21.43.\nAnswer: -21.31079744638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -38 + 10. Let x = -34 + 55. Calculate the highest common factor of x and y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 2*b - 2. Let y(m) = -2*m - 2. Let q be y(-3). Let w(g) = 3*g**3 + q*g - 3*g**2 + 0*g**3 + 1 - 4*g**3 + g**2. Let a be w(-3). Calculate f(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 296873, 296855, 296859, 296897, 296981, 297123, 297335?\n\"Answer: 2*d**3 - d**2 - 29*d + 296901","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9, -23, -37, -51?\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -9e76 - -1?\nAnswer: -9e75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*g - a = 13*g - 56, 112 = 5*g - 3*a. Let p be 81\/9 + g\/(-5). Solve 0 = 4*w - 2*z + 3*z - 17, -p*z - 3 = -2*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 3\/5, -0.3, -6\/7, 1\/17?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/((-1188)\/121) + (-30 - -10)\/(-20)?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 6 = -3*o - 0*o, 0 = 5*u + 5*o - 20. Which is the closest to u? (a) 0 (b) 1 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r - 35 = -3*d, 21*d = 5*r + 19*d + 35 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 404 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -4*m - 6. Let d be w(-3). Suppose d*l - 17 = -5. What is the least common multiple of l and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -70294\nAnswer: -1\/35147","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-237)\/(-948) + (-5)\/4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 + 175 = 5*u. Let g = -1 + u. What are the prime factors of g?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9 + 11. Suppose z + 5 + 1 = k, 0 = 3*k - 5*z - 16. What is the third derivative of -k*a**2 + 3*a**3 - 7*a**i + 13*a**2 wrt a?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 3*k - 25. Let u be q(9). Solve 0 = -d + 3*x - 8, u*d - d + 4 = 2*x for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kpqsrpo. Give prob of picking 1 r, 1 q, 1 p, and 1 s.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5417.\nAnswer: 5417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/((79\/79)\/(1\/(-3)))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gyg when three letters picked without replacement from ggyyygyggyyy.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 292701286 to the power of 1\/2, to the nearest integer?\nAnswer: 17109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -2*q**2 - 4*q + 4*q. Let x(f) be the third derivative of -f**5\/60 + 235*f**2. Determine -6*a(d) + 13*x(d).\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qp when two letters picked without replacement from {k: 2, q: 1, p: 1, d: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 17*y**2 - 9*y - 31. Let s be k(-6). Suppose s = 2*d - 5*o, 0*d - 950 = -3*d + 5*o. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*c**2*l**3*t - 2*c**2*l**2 + 320*c**2*t + 2*c*l**3*t - 21*l**3 wrt l.\nAnswer: 18*c**2*t + 12*c*t - 126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1254 and 27702?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnfffnnfnnnffffnfn. What is prob of picking 2 n and 2 f?\nAnswer: 36\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 - (-5 + 1) - (-17 - (-19 - -1)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1319295 rounded to 4 dps?\nAnswer: 0.1319","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h = 7*h, -2*h - 10 = -5*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the third derivative of 0*f**4 + 0*f - 1\/60*f**7 - 1\/224*f**8 + 11\/120*f**5 + 0 - 1\/3*f**3 + 1\/80*f**6 + 6*f**2. Determine b, given that u(b) = 0.\nAnswer: -2, -1, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -394*x**4 - 6*x**3 + 12*x**2 + 945. Let k(i) = 394*i**4 + 7*i**3 - 14*i**2 - 945. Let b(a) = -7*f(a) - 6*k(a). What is the derivative of b(n) wrt n?\nAnswer: 1576*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 25254.9 to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 39 and 169559.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 4833890264 and -0.2?\nAnswer: 4833890264.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y - 10*y + 0*y + 5*y + y - 2*y + (-3 + 0 + 1)*(0*y - 3*y + 4*y))*(1 - 5 + 3)*(1 + 1 + 0).\nAnswer: 16*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 2*h + 6*h - h - 3*h. Let t(d) = -4*d. Determine t(q(x)).\nAnswer: -16*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*b - 70 + 40 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 655647*d - 3933889. Determine z(6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12927?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 76\/(-114)*(-9)\/3. Solve j + 5*o = 4*j + 19, -o = -w for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 185 and 40?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the third derivative of -z**8\/112 - z**7\/70 + z**6\/40 + z**5\/20 + z**2. Factor l(j).\nAnswer: -3*j**2*(j - 1)*(j + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence da when two letters picked without replacement from {d: 2, a: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rkbrrmkbm. What is prob of sequence mr?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 883793?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - -5 - 14 - (1 - -3).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -13*c + 13. Let x(i) = -18*i**2 + 57*i - 7. Let u be x(3). Let a(q) be the first derivative of -3*q + 3\/2*q**u + 2. What is 9*a(d) + 2*o(d)?\nAnswer: d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96 = -2*v + 6*v. Let g be -5*3\/(-15) + v. Calculate the highest common factor of 200 and g.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(3 + sqrt(6)\/sqrt(3)).\nAnswer: 2*sqrt(2) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(432) + sqrt(432)*-1*3 + sqrt(432) + (5*sqrt(432)*2 - sqrt(432)) + sqrt(432))**2.\nAnswer: 34992","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-20)\/12 + 1 - -2)*-3\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.9 + -0.1. Let o = -3.1 - f. Let n = -5 + 8. What is the closest to -1 in n, o, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -2*s - 4 + 18, 0 = 4*s + 4*a - 16. Let f be s + -4 - (0 - -299998). What is f rounded to the nearest one hundred thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -455 - 0.5?\nAnswer: -455.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19*d**2 + 75*d**2 + 59*d**2 to v + a*d**2 + t*d and give a.\nAnswer: 153","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-36)\/(-456))\/(126\/56). Suppose -5*s + 10 + 0 = 0. Suppose 0 = -s*f + 7*f + 5. Which is bigger: f or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uv when two letters picked without replacement from vuviiciivcii?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p - 0*p - 40. What is the remainder when 114\/p*(-8)\/(-3) is divided by (15\/9)\/(1\/6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.050828 times 0.04?\nAnswer: 0.00203312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 4*f - 3*f. Find the second derivative of 2*v**3 - f*v - 2*v**3 - 2*v**3 wrt v.\nAnswer: -12*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -4\/5, -72, -0.5, -4, -6?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -88a85a - 4a?\nAnswer: -88a8a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -4173 (base 8) to base 6\nAnswer: -14015","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + 50?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -7*j + 92. Give d(14).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-k**3 + 6*k**3 - 2*k**3)*(-1 + 1 + k) + (-4*k - 5*k**3 + 4*k)*(-3 + 3 + 2*k) as m*k + p + s*k**2 + v*k**3 + y*k**4 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**2 - 3*w - 2. Let u be b(-3). Suppose -14*a = -58 + 16. Let y be u*a*4\/(-12). Solve 0 = 5*r - 2*r - 4*s, 18 = 3*r + y*s for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -14 - -55. Is 38 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -2\/5 (b) -1.4 (c) 333 (d) 1\/6 (e) 1\/3 (f) 20\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -747, -1466, -2159, -2826, -3467, -4082?\nAnswer: -4671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 24740539?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -13373164, -13373159, -13373154?\n\"Answer: 5*y - 13373169","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 9336, 9384, 9486, 9654, 9900, 10236?\n\"Answer: 2*d**3 + 15*d**2 - 11*d + 9330","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 2*r. Let p(y) = -20257*y**2 - 846*y + 423. Let c(a) = 96*a**2 + 4*a - 2. Let m(q) = 423*c(q) + 2*p(q). What is w(m(v))?\nAnswer: 188*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -5*m**2 + 7*m - 5*m**2 + 9*m**2 + 4. Let a(g) be the second derivative of -g**3\/6 - g**2\/2 + g. Determine -5*a(k) - v(k).\nAnswer: k**2 - 2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.6 + 1.6. Let o = m + 0.3. Which is the third biggest value? (a) 4 (b) -1\/4 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 68\/1683*(-9)\/((-108)\/22)?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -111 + 218. Let j = t - 103. Solve 0 = -2*u + 2*k - 0*k, 0 = 5*u - j*k + 2 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - 9 = 3*a, -10*y + 13*y = -a - 13 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -219860 minus -6.4?\nAnswer: -219853.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qeeesetqqsymyee. Give prob of picking 1 t and 1 s.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00829 rounded to 4 dps?\nAnswer: -0.0083","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-85)\/(-20) - 3) + -1. Solve -1\/4*x**3 - j*x**2 + 0 + 0*x = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 43*z + 529. Give i(-8).\nAnswer: 185","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 53069 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/9*s**4 - 2\/3*s**2 + 0 - 8\/9*s**3 + 0*s.\nAnswer: -2*s**2*(s + 1)*(s + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in one quarter of a milligram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t and 1 z when four letters picked without replacement from zttttzzzzztzz.\nAnswer: 16\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4120 + 34?\nAnswer: 4154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -55?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k - k + 30. Let s(c) = -6*c - 6. Suppose -3*d + 33 = -14*d. Calculate the smallest common multiple of s(d) and k.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**2 - 14*a + 1. Let g be m(-15). Suppose 2*k - 310 = f - 4*f, 0 = 2*k - 5*f - 294. Let y = g + k. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**2 - 4*j + 3. Let v be u(4). Suppose -6*c = -v*c + 5*l - 52, -10 = -5*l. Let d(k) = 5*k - 7*k**2 + k**3 + 10 - 5*k**2 - c*k - 5*k. Calculate d(13).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s - 419 + 127. Let b = 426 + s. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 + -43 + 10 - -7.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -346 + 345. Let c = -6 + 11. Let q = -0.07 + -3.93. Put c, j, q in descending order.\nAnswer: c, j, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**2 - 15. Let z(f) = 7*f**2 + 85*f - 32. Calculate -2*o(g) + z(g).\nAnswer: 5*g**2 + 85*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.1 (b) -4\/19 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -77 (base 11) to base 15.\nAnswer: -59","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -9503, -19009, -28519, -38033, -47551, -57073?\n\"Answer: -2*m**2 - 9500*m - 1","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 ysswsyswyy?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -10 (b) -0.05 (c) -0.2 (d) 9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 - 1 = 4*i. Let y be (i\/(-8))\/((-2)\/4). Which is the third biggest value? (a) -0.1 (b) -3\/4 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1202095?\nAnswer: 5, 23, 10453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**2 + 14*w - 33. Let l(c) be the first derivative of 14*c**2 + c - 4. Calculate the remainder when l(2) is divided by n(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91915*z - 92112*z + 13593 = 0. Let q = 11 - 8. Sort q, z, -4 in increasing order.\nAnswer: -4, q, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16 - -18. What is the smallest value in m, 0.01, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1416 + 2829\/2. What is the closest to k in 0.4, 2, 2\/7, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, 2\/27, 8573, 8?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:05 AM and 6:31 PM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**2 + 7*z + 4. Let q be x(8). Let f be ((-1)\/(-3))\/(q\/36 - 0). Sort f, -4\/15, 0.5, -3\/7 in decreasing order.\nAnswer: 0.5, -4\/15, -3\/7, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the third derivative of f**7\/5040 - f**6\/720 + f**5\/12 + 10*f**2. Let l(x) be the third derivative of k(x). Let p(u) = -2*u + 2. Give 3*l(n) + p(n).\nAnswer: n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 6 + -17d4?\nAnswer: -17cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 40, 79, 118?\n\"Answer: 39*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1\/6, 0.2, 4, -2.83, 308?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-7)\/3*(-160)\/224. Let q be (-3)\/6 + (-7)\/(-2). Let g = -89\/10 + 17\/2. Which is the nearest to -0.1? (a) q (b) g (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - l**2)*(-8*l + 30 - 30) - 2*l**3 + 2*l**3 + 2*l**3 - 4*l**3 - 12*l**3 - 6*l**3.\nAnswer: -12*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = 8*k - 2629. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x**2 - 2*x**2 + 2*x**2)*(-5*x**2 + x**2 + x**2)*(-3*x + 5*x - 3*x).\nAnswer: 6*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06 + 94630013?\nAnswer: 94630012.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*t**3\/4 - 1467*t**2\/2.\nAnswer: t**2*(5*t - 2934)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-72)\/(-42))\/((-2)\/(-14)). Let f = 284 - 278. Are f and k nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -3*((sqrt(16)\/sqrt(4))\/sqrt(2) + sqrt(2) + (3 + sqrt(10)\/sqrt(5) - sqrt(2) - sqrt(2))).\nAnswer: -3*sqrt(2) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -103.635422 rounded to two decimal places?\nAnswer: -103.64","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-70 + 28 - 23 - 41)*(-3 + 3 - 3*r) as k*r + i and give k.\nAnswer: 318","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + 30 + (-8 - 6).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 12*p - 78. Give d(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 283820773 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -13*v - 7*v**3 + 7 + 13*v wrt v.\nAnswer: -21*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/4540 and -31\/3405?\nAnswer: 13620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1 (b) 5 (c) -0.4 (d) -1\/13 (e) 0.1 (f) 0.07\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -2*b**2. Let c(j) = 8*j. Let r(z) = 15*z - 1. Let k(o) = 7*c(o) - 4*r(o). Determine q(k(f)).\nAnswer: -32*f**2 + 64*f - 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11805589 and 1191?\nAnswer: 397","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-36*d**3 - 1 - 1464*d**2 + 814*d**2 + 753*d**2)*(-4 - 1 + 4).\nAnswer: 36*d**3 - 103*d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -5*c - 3. Suppose 0*i = -5*i - 15, 14 = -4*q - 2*i. Determine b(q).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*n**6 - 3*n**5 + 75072*n**3 - 56444892*n**2.\nAnswer: -720*n**3 - 180*n**2 + 450432","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + -1 + -37 - (-19 + 2)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 23302450 (base 6) to base 11\nAnswer: 454867","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 421*z - 428*z - 13 - 5 - 2 + 2.\nAnswer: -7*z - 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(143)*5 - sqrt(143))\/(sqrt(11) + sqrt(11) + sqrt(99)\/sqrt(9)*-6).\nAnswer: 3*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 917, 1834, 2751, 3668, 4585?\n\"Answer: 917*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -28, 1705, -2 in ascending order.\nAnswer: -28, -2, 0, 1705","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -2, -4, -3, -12, -1 in descending order.\nAnswer: 4, -1, -2, -3, -4, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) 3\/7 (c) -1\/5 (d) 14\/13 (e) -2\/15 (f) 0.73\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-270)\/(-81)*(-6)\/(-4). Suppose r - 2*y - 15 = 22, 0 = s*r - 4*y - 155. Calculate the smallest common multiple of 2 and r.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2470, -2529, -2584, -2635, -2682?\nAnswer: -2725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 711\/63 - 52\/182?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -40159460 rounded to the nearest one hundred thousand?\nAnswer: -40200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 15*z**3 - 3*z**2 - 1. Let m(b) = 14*b**3 - 3*b**2 - 1. What is 3*c(h) - 4*m(h)?\nAnswer: -11*h**3 + 3*h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 + 1. Let m(n) = -3*n**3 - n**2 + 3*n + 3. Calculate the remainder when 31 is divided by m(l).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 155*r + 140 = -404 + 2404 for r.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 232 and 29903524?\nAnswer: 59807048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5926271 is divided by 1342?\nAnswer: 1341","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 12 = -7*x. Suppose 9 = -x*d + 2*m + m, -5*m + 15 = d. Which is greater: d or -4\/5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 2 p, and 1 h when four letters picked without replacement from vvrnpnnrvnhvrhvnhnap.\nAnswer: 3\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - v = 0. Suppose -4*z + 126 - 24 = -t, v = 5*t + 10. List the prime factors of z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**3 + 16*x**2 - 14*x + 24. Determine q(-17).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -913*f + 855*f - 696 for f.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in twenty-five quarters of a kilogram?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -3*z + 133, 3*s = 5*s + 2*z - 266. Suppose -4*w + 234 = 5*t, -3*t - 4*w + 96 = -t. Let k = s - t. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**12)**(-22) assuming j is positive.\nAnswer: j**(-264)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 486998 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 404138 is divided by 52.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n + h = 3, -5*h = -4*n - h for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -54.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.9 - -3. Let f = 0.2 + r. What is the nearest to f in 5, 0.1, -2\/7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -c3a9 (base 13) to base 10\nAnswer: -27010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h = 3*h + 4*u - 12, 2*h - u = -10. Let v(l) = 3*l**2 + 2*l - 3. Let p(f) = -5*f**2 - 5*f + 7. Calculate h*v(i) - 3*p(i).\nAnswer: -6*i**2 + i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -841462*f + 19*f**2 + 841462*f + 12 + 13 - 25.\nAnswer: 19*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-1 + sqrt(17))*5*4 - (sqrt(612)*-1*1 + 5))**2.\nAnswer: -5940*sqrt(17) + 52597","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 5 = 1, 0 = m + 3*j - 38. Calculate the greatest common factor of 65 and m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h - h + 2*h)*(-3*h**2 + 0*h**2 + 0*h**2 + (h - 2*h - h)*(100*h - 216*h + 106*h)).\nAnswer: -34*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -220 + 6*g - 4*g - 97*g**2 + 201*g**2 - 469 - 105*g**2 as f*g + u*g**2 + l and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:52 AM and 3:14 PM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 102393.\nAnswer: 3, 31, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 248281296?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 4*c**3 + 177*c**2 + 90*c + 2033. Determine x(-44).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 167, 164, 159, 152?\nAnswer: 143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 211436 is divided by 105715.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (78 + -4422)\/(3\/(-4))?\nAnswer: 2, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8554672 is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1039, 3, -172?\nAnswer: 1039","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/6 + (-6)\/8. Let y = -592 + 855. Let s = 266 - y. Put 1\/4, s, m in decreasing order.\nAnswer: s, 1\/4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 3*q + 34 = 0, -2*p + 0*q = -2*q - 18. Solve p = 4*t - 5 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*b**5 + 31856280*b**4 - 778485*b + 27.\nAnswer: 40*b**3 + 382275360*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x + 5*x + 0*x)*(87 + 19 + 225 + 107)*(-2*x - 4*x + 5*x).\nAnswer: -1314*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**3 + 8*g**2 + 2*g - 3. Let y be f(-6). Let n = y - 17. Calculate the highest common divisor of 440 and n.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 + -8 - -9 - -5\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21 + 18 + 28 + 2*p**2.\nAnswer: 2*p**2 + 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2bc5c7 - -a?\nAnswer: 2bc604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2222 - 20212?\nAnswer: -10220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -k**3\/8 - 49*k**2 + 22795843*k\/8 - 11397725\/4 = 0?\nAnswer: -4975, 1, 4582","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3011, 0.3, -0.1, 0.4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2667?\nAnswer: 3, 7, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -131474.3 rounded to the nearest 100?\nAnswer: -131500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-2)*(-3)\/18*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the second derivative of -i**4\/18 - 22*i**3\/9 - 40*i**2\/3 - 2875*i. Factor z(w).\nAnswer: -2*(w + 2)*(w + 20)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) 2\/18829 (c) -2\/7 (d) 3\/5 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2099 + 378. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -592456, -1184898, -1777340, -2369782?\n\"Answer: -592442*o - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*d = -4*d. Suppose d = 4*f - 7*f + 24. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 335 divided by 67\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -325 + 137. Suppose 5110 + 2557 = -41*l. Is l less than or equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -215145550 (base 6) to base 16\nAnswer: -3b4e6a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*h + 250 = -8*g, -5*g - 38 - 161 = -3*h + 57 - 116 for g.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/11, 5, 67524 in decreasing order.\nAnswer: 67524, 5, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5 and 65?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -62940 by -12588.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*h + 42357 = 134437. Suppose 1200 + h = 4*r. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 11 = -14. Let c be (1 - -1)\/d*24\/(-16). Let o be 1*5*c\/9*1. What is the closest to -1 in o, -0.4, 0.5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 41015 or 3\/13?\nAnswer: 41015","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 15 = -4*z + 4*l, l = 5*z - 13. Calculate the common denominator of 38\/21 and (-113)\/(-18) - (z - -1).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1592923133 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/1 + -6 + -4. Let w(v) = -2*v - 13. Let a be w(g). What is the common denominator of 19\/2 and 456\/27*(a + (-6)\/4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -2*g - 9, -4*m + g = -9. Is (-2)\/m*103089\/(-14) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**3 + 13*r**2 - 12*r + 15. Let d be l(-14). Let u(w) = -w**2 - 15*w - 18. Calculate the remainder when u(d) is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u - 24 = 5*a, -2*u + 12 = -17*a + 22*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 66.99995763 + -67. Round p to 6 dps.\nAnswer: -0.000042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-9)\/((-540)\/(-190)))\/((-4)\/(-24)). Put 4, g, -6 in decreasing order.\nAnswer: 4, -6, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.5, -5, -1.6?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (19 - -1 - (170 - 171)) + -1?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(2448) + sqrt(2448) + sqrt(2448)*2 + -2 + -5*(sqrt(2448) + 1 + sqrt(2448)) - (1 + sqrt(2448) + sqrt(2448)*-1 + -1))*-5)**2 + -3 + 0.\nAnswer: 907200*sqrt(17) + 79359297","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**3 - 17*q**2 - 5*q + 4. Let b be y(18). Suppose -x - b = -5*n + 5, -3*n = -x - 145. What is the tens digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*h = -52*h + 4*b + 6, 0 = h + 3*b - 3 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 102113321 + -120012?\nAnswer: 101333303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**2 - 4*m - 1. Let q be t(5). Solve -d = -q*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 5*r**2 - 2*r - 3. What is t(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -6 (b) -65 (c) 3 (d) 5 (e) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*r**3 - 63*r**3 + 20*r**3.\nAnswer: -17*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 950611481?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -31.\nAnswer: 4\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-900)\/375*(-10)\/4?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.08 - -0.02. Let k = -290 - -285. Let x = -1.2 - -1. Which is the nearest to x? (a) k (b) l (c) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -34678268 divided by -19\nAnswer: 1825172","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -42768947, -42768951, -42768955?\n\"Answer: -4*z - 42768943","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of -17165 and -1127760625.\nAnswer: -1127777790","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -58 - -24. Let s = 169 + z. Suppose 4*o + 4*y = 64, -4*y + 9*y - 35 = -2*o. Calculate the highest common divisor of o and s.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -7*d + 13088. Let h = 4587 - d. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -38 - ((-8 - 83) + 31)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x + 5*m - 16, -5*x + 2*m + 2 - 13 = 0. What is the hundreds digit of 1904*(-3 + x\/(6\/(-21)))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2007? (a) 0.2 (b) 27\/4 (c) -1.6 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -1\/2, 7330, 0.1, 1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1326 and 389742?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and -11938673.\nAnswer: -35816019","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1.176, 49, -12.8 in descending order.\nAnswer: 49, 1.176, -1, -12.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**2\/5 - 609*k\/5 + 15822.\nAnswer: -3*(k - 90)*(k + 293)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -39*g**2 + 1281*g + 9360.\nAnswer: -3*(g - 39)*(13*g + 80)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) -3\/2 (c) -2\/29 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/9? (a) 2 (b) 5 (c) 0.5 (d) 2.6 (e) 13\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3*(-2)\/(-6)*1. Let x be -13 + 1 + (-1 - u). What is the units digit of (-4)\/x + 19\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 19*o**4 + 267*o**3 + 8*o - 1952330?\nAnswer: 76*o**3 + 801*o**2 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*y + 6 = 4*y + 2*d, 5*y - 5*d + 5 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -8 + -0.36477\nAnswer: -8.36477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 19 - 6. Suppose -3*i = -58 + n. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.002166538 to four dps.\nAnswer: 0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -605 or -475?\nAnswer: -605","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 51 + -31. Let a = 17 - z. Let d(f) = -f**2 - f. Give d(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7599.7 + -7600. What is the nearest to 0.01 in k, -0.6, -2\/21?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - (-40 + -14 + 39).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ukn when three letters picked without replacement from nnnkukunkuknkknku?\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/(-6) - 1\/2. Suppose 3 = -3*t + 18. Suppose 5*g - 26 = 3*q, 0 = -g - q + 2. Sort h, t, g in increasing order.\nAnswer: h, g, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35382326 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -57 + 30. Let d = 1017 + -1023. Let r = d - f. Does 7 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -715, -1491, -2329, -3229?\nAnswer: -4191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 37741465?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 3 + 1*sqrt(176) + -1)**2.\nAnswer: -8*sqrt(11) + 177","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 + 43?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ff when two letters picked without replacement from {b: 1, s: 2, p: 1, f: 3, u: 3}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -8, -2*g + 9 - 1 = -a. Suppose -3*c - j + 25 = 0, g*j - 30 = -2*c - j. Suppose c*w = -731 + 2166. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x + 4*u + 4, 4*x + 4*u = -2 - 26. Is 1\/x - 2536\/(-32) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2430 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3172 a factor of 88939708?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.022788+-11.1\nAnswer: -11.077212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84)\/(1*sqrt(2)*4))\/(sqrt(294)*2 - sqrt(12)\/(1*sqrt(2))).\nAnswer: sqrt(7)\/52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (61\/2)\/((-6)\/(-12)). Let o = v - 60. Solve 3*j = 5*g + 1, -2*j - 5 = -g - o for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 38 + -33. Suppose -1233 = -m*v + 2002. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.16802 - 2.16802. Put -1\/4, 1\/171, p in decreasing order.\nAnswer: 1\/171, -1\/4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**2 - h + 2. Let u be c(3). Let a(m) = -8*m + 259 - 131 - 120 - m**3 - 14*m**2 + 4*m**2. What is the units digit of a(u)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes after 2:02 AM?\nAnswer: 1:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -2*m**2. Let a(i) = 70104*i. Calculate a(j(s)).\nAnswer: -140208*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 42193 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 25606186 a multiple of 62?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*o - 1422 + 1457 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 2*u**3 + 4 + u**3 - 2*u**3 - 3*u - u**2 - 3. What is the units digit of r(3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-20)\/5 + 5)*5. Suppose -8*o = -7*o - 4*p - 19, 5*p + v = 0. Solve -10*q - 5 = -o*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 4 + 16 = 0. Let l = 45 + g. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23, -2155, -0.458 in descending order.\nAnswer: -0.458, -23, -2155","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -4*o**2 - 348*o = 0.\nAnswer: -87, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -12*-1553\nAnswer: 18636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-424)\/48 - -9 - 11\/30. What is the nearest to y in 2, 5, 0.3, -4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(784) - sqrt(784)*1)\/((2*sqrt(70))\/sqrt(10)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*j + 5*j + 1405. Suppose -4*m - 719 - 87 = 2*w, 4*w + 1585 = m. Let d = j - w. Is d a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1996304537 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve l**2 + 3932 - 3*l**2 - 33*l - 2*l**2 - 3980 - 19*l = 0.\nAnswer: -12, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the first derivative of 410*u**3 - 3*u**2 + 7*u + 249. What is the units digit of a(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -335*w + 13. Let n(o) = 168*o - 7. What is -6*l(r) - 11*n(r)?\nAnswer: 162*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes after 7:54 AM?\nAnswer: 10:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 21*n**3 - 45*n**2 + 60*n. Let g(l) be the second derivative of 3*l**5\/10 - 13*l**4\/12 + 17*l**3\/6 - 98*l. Let o(j) = -18*g(j) + 5*p(j). Factor o(m).\nAnswer: -3*m*(m - 2)*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence swg when three letters picked without replacement from gsfgwwcc?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*j + 2*r = -33*j - 6067, 3*r + 12 = 0. Let m = 3410 + j. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/4 and -101\/4068.\nAnswer: 4068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 21256091407 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -35*c - 125. Give k(-3).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(sqrt(216) - (sqrt(216)*-2 - sqrt(216))))\/sqrt(9))\/((sqrt(392)*-1 - sqrt(392))*2 + sqrt(392)).\nAnswer: 8*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n + 24 = n. Let z be (2\/n)\/(6\/(-48)). Let h be z\/10 - ((-148)\/(-20) - 3). Are h and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the first derivative of -o**7\/840 + o**6\/60 - o**5\/20 - o**4\/6 + o**3\/3 - 8. Let g(w) be the third derivative of n(w). Give g(5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 361196497 a multiple of 281?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 75 and 615.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -94*i**3 - i**2 + 11*i + 24. Let o be f(-2). What is the tens digit of (o\/(-8))\/((-3)\/(-5))*-4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13345366 (base 7) to base 4\nAnswer: -10232112121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5077367?\nAnswer: 5077367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(1\/17)*h*h*h**(-13) assuming h is positive.\nAnswer: h**(-186\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 3*s**2 - 140*s + 95. Let d be j(46). Solve -3 = d*v + 6 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9642461 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes after 7:36 PM?\nAnswer: 2:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -54, 0.1, 14?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2, -683, 5, -3.\nAnswer: -683, -3, -2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 4*d**2 + d + 1. Let l be t(-1). Suppose 3*z = 19 - l. Solve 4*g + 18 = n, -g = z*n - 3*n for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 9) to base 13\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*o**2 - 2*o**2 - 2*o**2)*(-3*o**3 - 3*o**3 + 3*o**3) + (-3 + 3 - 23*o)*(-o**4 - 2*o + 2*o) + (-2*o**2 + 2 - 2)*(2*o + 2*o**3 - 2*o).\nAnswer: 61*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1746273300 to the nearest integer?\nAnswer: 1204","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(60)\/sqrt(16))\/(sqrt(25)\/sqrt(5)*-6) + -6*(1*sqrt(3) + 2 + 4) + 5)**2.\nAnswer: 2263*sqrt(3)\/6 + 51457\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 49602810?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 570 and 17252?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 6, n: 1, q: 8}. Give prob of picking 1 q, 1 c, and 1 n.\nAnswer: 48\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22839.\nAnswer: 3, 23, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -7*x**2 + 649*x + 76. Is j(59) a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 10660173?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36124.\nAnswer: 2, 11, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -178*x - 232. Let g be c(-5). Suppose -11*b - g = -14*b - 5*v, b + 2*v - 221 = 0. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a decade in months?\nAnswer: 150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**2 - 6*f + 2. What is h(-7)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the third derivative of 35*u**2 + 0*u**5 + 0*u**4 + 16\/105*u**7 - 47\/6*u**3 + 0*u**6 + 0 + 0*u. What is the derivative of j(q) wrt q?\nAnswer: 128*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 4*f + 19549 = -59739, 3*k + 3*f = -59478. Let c = 2728 + k. Let q = c - -27496. Round q to the nearest 1000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -52.064 + 52. Let w = -0.032 - b. Let h = -0.032257 + w. Round h to 5 decimal places.\nAnswer: -0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -3*h - 1, -3*v + 3 = -h - 2*h. Let t(u) = u**3 + 6*u**2 + 5*u. Let p be t(-5). Let k = 3 - p. Sort k, 2, v.\nAnswer: v, 2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 38*m**3*w + m**3 - 16183*m**2*w**2 - 104*m*w - 4873*m - 7*w**2 wrt m.\nAnswer: 228*m*w + 6*m - 32366*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14498835, 14498834, 14498833, 14498832?\nAnswer: 14498831","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3\/28 + 1\/7. Let q = s - 3\/4. Which is smaller: q or -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16.783 - -29.783. What is the nearest to x in -3\/44, -2\/13, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -15003, -29872, -44739, -59604, -74467?\n\"Answer: f**2 - 14872*f - 132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -705989\/187600 - -1670\/469. Calculate the common denominator of -91\/480 and m.\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*a**2\/3 - 471848*a\/3 + 13915033444\/3.\nAnswer: 4*(a - 58981)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**2 - 13*h + 2. Give s(-11).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**3 + 71*s**2 + 448*s + 12. Let r be u(-64). Solve -95 = -7*g - r*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t + 1. Determine d(-9).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*v**3 + 13*v**2 - 3*v + 61777.\nAnswer: 12*v**2 + 26*v - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 15, 46, 89, 150, 235?\n\"Answer: u**3 + 24*u - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 144b9 + -7?\nAnswer: 144b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -6 + 5*n**2 - 5 - n**2. Let a(m) = -9*m**2 + 21. Let l(k) = -6*a(k) - 11*b(k). What is the first derivative of l(g) wrt g?\nAnswer: 20*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = c + 3*r, -4*r + 7 + 5 = 0. Calculate the remainder when 0 + 32 - (c - 0) is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 11759 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 41956846 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -53*m + 159. Let a(v) = 5*v**2. Give k(a(d)).\nAnswer: -265*d**2 + 159","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + 4*x = 2*n - 17, 29 = 5*n + 2*x for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -2*p**2 + 23*p - 32. Let z be c(-28). Let w = z + 3294. List the prime factors of w.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -3\/11, -1, -2\/7 in descending order.\nAnswer: 3, -3\/11, -2\/7, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 2*m**2 - m**2 + m**2 + m**3 - 3*m**2. Suppose -4*n = -4 + 8. Let h(q) = 14*q**3 + 4*q**3 - q - 4*q**2 - 1 - 12*q**3. Calculate n*h(x) + 4*s(x).\nAnswer: -2*x**3 + x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 89.5943 nanograms to kilograms.\nAnswer: 0.0000000000895943","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (12\/(-6))\/(-1 + 0). Differentiate -10 + 4*m**2 - 2*m**d + 0*m**2 + 4 with respect to m.\nAnswer: 4*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 5, k: 7}. Give prob of picking 2 w.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 5 = -u. Solve -5*x + u = -10 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 777533 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + u + 9 + 9 = 0, 3*u = -9. Suppose -13 = -v*k + 2*w, 4*k - 20 = 5*w + 2. Put k, 0.2, 0 in increasing order.\nAnswer: 0, 0.2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 36*s + 0*s**3 + 3*s**3 - 57*s + 18*s**2 = 0.\nAnswer: -7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44373889?\nAnswer: 7, 137, 46271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -70285*c*n**3 - 758*c + 38*n**3 - 163*n**2 - 2*n + 27 wrt c.\nAnswer: -70285*n**3 - 758","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**3 - 8*w**2 + w + 8. Let l be a(-8). Suppose 5*b - 3*f - 52 = l, 3*f - 4 = -2*b - 0*f. What is the smallest common multiple of b and 4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(1331) + -1)**2 - sqrt(1331).\nAnswer: -99*sqrt(11) + 1347","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -257, -1097, -2515, -4511, -7085, -10237, -13967?\nAnswer: -18275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(105)\/(sqrt(63)\/sqrt(9)))\/sqrt(5).\nAnswer: -2 + sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**2 + 26*b - 14. Let t be o(14). Suppose -11*y + 671 = t. What is the remainder when y is divided by 28?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 50\/9 + -277\/45. Let t(x) = x**2 + 19*x**3 - 50*x**3 + 20*x**3 - 10*x + 12*x**3 + 6 + 1. Let a be t(-4). Which is smaller: a or r?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 31 + -1 - (18 - (7 + 6 + 6))?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -918 at most -248?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 1*((sqrt(272) + 0)**2 + 1 + 2).\nAnswer: 278","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**3 - 3*b**2 - 17*b + 15. Let a be (-4)\/(25\/(-15) - (-2 + 1)). Let i be o(a). Solve -5 = -5*m + 2*l, -i = 2*m - 5*l - 2 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + -4 + (-7 - -15) + 71.\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least -1\/94839?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 71 and 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 656 or 674?\nAnswer: 674","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*w + 0*w - 2*w + (-3 - 1 + 5)*(-86*w - 101*w + 65*w).\nAnswer: -121*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -8 + 4ab636?\nAnswer: 4ab62e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -9009468 from -5215.9.\nAnswer: 9004252.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -5*g + 102. Suppose -3*y - 9 = -66. Let l be q(y). Solve 0 = l*p - 5*p - 10 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (29 - (16 - -10 - -13)) + 82.\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(5\/11))\/(a\/(a**(-12)*a))*(a**(4\/9))**(2\/21) assuming a is positive.\nAnswer: a**(-21836\/2079)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -16 (b) -1 (c) 2\/13 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 46 - 44. Suppose t*w - 4 = j, j = -3*j - 3*w - 27. Is (892\/j)\/((-14)\/21) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the first derivative of -86*i**3\/3 - 44*i + 7. Differentiate w(x) with respect to x.\nAnswer: -172*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -5*d**2 - 70*d + 4. Let g(v) = -v + 2. Determine -2*g(r) + k(r).\nAnswer: -5*r**2 - 68*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes after 2:03 AM?\nAnswer: 9:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 6197 (base 10) to base 14\nAnswer: 2389","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(99))**2*-5.\nAnswer: -540 + 90*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3741690199 take away 54?\nAnswer: -3741690253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 38 + -20. Suppose 4*h - 254 = -b. List the prime factors of h.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -38444*j**3 + 3033*j**2 - 9389*j + 6527 wrt j?\nAnswer: -230664*j + 6066","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the first derivative of l**4\/8 - 11*l**3 + 471*l**2\/4 - 203*l + 5184. Factor m(b).\nAnswer: (b - 58)*(b - 7)*(b - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -784, -3, -1\/2 in increasing order.\nAnswer: -784, -3, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.4 (b) 1 (c) 436 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-13)\/(-5) + 21\/(-35). Let w be i\/(-6) - ((-156)\/63 - -2). Sort -14, -0.5, w.\nAnswer: -14, -0.5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ahaahzzazaazzaaaz. What is prob of picking 2 a?\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/((-114)\/39 - -3). Let r be (-1)\/(z\/6) - 0. Let a be (-1 - (-93)\/21)\/((-13)\/((-455)\/50)). What is the third smallest value in a, -0.3, r?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 - (1 - -4)) + (-44)\/(-4). Suppose -4*m - 12 = 0, -r*m = -14*b + 11*b + 132. What is the greatest common factor of b and 624?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes before 2:13 PM?\nAnswer: 3:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - 2 - (1 + -9 + 2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -348704.1818 to the nearest one thousand.\nAnswer: -349000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - -4 - 4) + 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r. Let p(h) = 5*h. Let f(i) = 2*p(i) - 6*s(i). Let c(l) be the second derivative of l**3\/3 + l. Calculate f(c(w)).\nAnswer: 8*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4511432?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, r: 4, a: 2, q: 2}. What is prob of sequence qu?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 3, u: 1, l: 1}. What is prob of sequence uy?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*j + 1 + 22*j**3 + 67*j**3 + 2*j + 7*j**3 + 3*j**4 to the form z*j**4 + k*j**2 + c*j + n*j**3 + b and give c.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**3 - 146*z**2 + 295*z - 146. Let n be s(-148). Sort n, -1, -136, 5 in ascending order.\nAnswer: -136, -1, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**3 + z**2 + 11*z + 292. What is u(0)?\nAnswer: 292","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(-1)*q)**25\/(q**(-2\/5))**(2\/13)*(q**1)**(-48)*(q**3*q)\/(q*q\/q**2) assuming q is positive.\nAnswer: q**(-1231\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1003, 993, 971, 931, 867, 773, 643?\n\"Answer: -q**3 - 3*q + 1007","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 137514.6 months in decades?\nAnswer: 1145.955","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.4, -5, -3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**2*y*y)\/y**(1\/11)*y**(2\/25)*(y\/(y*(y*y**(9\/8))\/y))\/y assuming y is positive.\nAnswer: y**(4101\/2200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-10)*(u\/(u\/u**(-3\/4)))\/u)\/((u*u*u*u**9)\/(u*(u*u**(-2\/3))\/u)) assuming u is positive.\nAnswer: u**(-281\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -19 + 19 + (-8 - -18)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**3\/7 + 5*j**2\/7 - 24*j\/7.\nAnswer: j*(j - 3)*(j + 8)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (80\/7)\/((-183)\/((-87108)\/136))\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21a43 (base 15) in base 5?\nAnswer: -11410223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4311.357 days to microseconds.\nAnswer: 372501244800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (48\/18)\/4*-6. Let x = -0.1 + 0.3. Which is the second biggest value? (a) 1 (b) v (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8 * 0.33.\nAnswer: -2.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y\/((y**(1\/3)\/y)\/y)*y)**(-29)*y**(-4)\/(y*y**(-1\/3)) assuming y is positive.\nAnswer: y**(-140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 11823878063 rounded to the nearest one hundred thousand?\nAnswer: 11823900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes after 3:36 AM?\nAnswer: 12:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 52 + 87 = 0. Let t(m) = 81 - 3*m - m - 33 + d*m**2 - 41. Let q(o) = -11*o**2 + 6*o - 11. Determine 5*q(p) + 8*t(p).\nAnswer: p**2 - 2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -283446.45 times 0.2?\nAnswer: -56689.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.4 + 5.4. Let p = k - 10. Let v = 9 - 8.5. What is the closest to 0 in -1, p, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 299.7 - 101.7. What is the biggest value in -0.1, 0.07, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2006?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -253 - -1013\/4. What is the closest to b in -2\/17, -12, -0.08?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.2 + 0. Let o = 1970\/3 + -656. Which is the second biggest value? (a) o (b) -1\/7 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 442232 and 104808984.\nAnswer: 104808984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000094229 rounded to seven dps?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2281 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 5*o**3 + 12*o**2 + 19*o - 19. Let k(i) = 2*i**3 + 6*i**2 + 9*i - 9. Let t(u) = 7*k(u) - 3*l(u). Is t(5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x and 1 n when four letters picked without replacement from {n: 3, x: 7}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 + 4 + 4*w**2 + 6 - 3004300*w + 3004300*w.\nAnswer: 4*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 2 = -2*y. Suppose v - y*v = -12. Does 6 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -215.28 + 215. Which is the biggest value? (a) 0.5 (b) -3 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 591 = -4*t, -p + 2*p = 5*t - 740. Let k = t - 92. Is k a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes after 9:57 AM?\nAnswer: 10:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.25 - 0.73. What is n rounded to 1 dp?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n\/(n**2*n)*n*n*n*n**(-2\/15)*n**(-2)\/((n*n*n\/(n*n**(3\/8)))\/n*n) assuming n is positive.\nAnswer: n**(-331\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (3\/(-9))\/(8\/159) and (-142)\/781 + (-597)\/44.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6*(-4)\/198)\/(12\/(-18))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -50080107\/260 + 192615. Let s = 3\/65 + l. Let m = -4 - -3.9. What is the closest to m in s, 1, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**2 - 17*j + 12. Let p be s(-17). Suppose -4*n + 538 = 3*o, -o + 3*n + 858 = 4*o. Let m = 306 - o. What is the greatest common factor of p and m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 39416, 78830, 118244, 157658, 197072?\nAnswer: 236486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24498, -24419, -24288, -24105, -23870, -23583?\nAnswer: -23244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 693*h**2 + h + 6. Let y be g(-3). Let l = 15250517\/6 + -2535538. Let k = y - l. Calculate the common denominator of -76\/9 and k.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4009 and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (90\/(-21))\/(2\/14*-1). Find the common denominator of (-12)\/(-15)*d\/4 and 22\/3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2385 by -5.\nAnswer: -477","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1 and 71?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (21\/28*(-4)\/(-6))\/((-126)\/6552).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 130239 and 8091?\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 6*i + 4 + i + 10*i + 5*i - 6*i. Let h(k) = -2*k. Calculate x(h(q)).\nAnswer: -32*q + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**3 + 21*l**2 - 51*l + 299. Let h be s(19). Solve -9*r + h*r + 129 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 divided by -3?\nAnswer: 31\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 53*p**3 - 796*p**2 + 16*p + 1. Let z be w(15). Let o(t) be the second derivative of t**4\/12 - 5*t**3\/2 - 15*t**2\/2 - 4*t. Calculate o(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3 or 2.359973?\nAnswer: 2.359973","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 113189224?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -4116 times 4\nAnswer: -16464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l**2 - 3670324*l + 7340664 = 0. What is l?\nAnswer: -917583, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -w**3 + 3*w**3 + 3*w**2 + 15*w**2 - 18*w**2.\nAnswer: 2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 608179?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + (-8 + 5 + -1 - -3)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve a = 3*f + 23, -243*a + 244*a = f + 11 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -13*d - 8. Determine h(-25).\nAnswer: 317","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 107*h**3 + 113*h**3 - 87*h**4 + 30*h**4 + (0*h**3 + 2*h**3 - h**3)*(-3*h + 2*h + 2*h).\nAnswer: -56*h**4 + 6*h**3 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10041003 - -3?\nAnswer: -10041000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5283037638?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2, -3.54 in descending order.\nAnswer: -2, -3.54, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -29*a. Let r(q) = -7139*q. Determine r(b(k)).\nAnswer: 207031*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 + -4. Suppose 0 = -3*r + 6*r + 4*f - 13, 5*r + 3*f - 18 = 0. Suppose 4*h + r = 7. Put -3, h, x in descending order.\nAnswer: x, h, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**3 - 10*l**2 - 2*l + 122. Give n(-8).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zuzf when four letters picked without replacement from {z: 4, r: 3, f: 1, w: 1, p: 2, u: 1}.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 15 = -w - 7*a, 3*w - a = 20. Solve -f = -w*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 + -9. Let o(w) be the first derivative of -2*w**2 - 9*w + 1. Let f(m) = 3*m + 8. Let z(r) = d*o(r) - 7*f(r). What is z(4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -2*p**3 + 12*p**2 + 3*p + 6. Let c(d) = 4*d**3 - 27*d**2 - 5*d - 12. Calculate 3*c(n) + 5*r(n).\nAnswer: 2*n**3 - 21*n**2 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 467 is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 713562.1l?\nAnswer: 713562100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -87, -178, -269, -360, -451, -542?\nAnswer: -633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together 11 and -14834.\nAnswer: -14823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tkkkklbs. What is prob of sequence kbks?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 141*m - 1691. Determine c(12).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17 + 14. Let z be (f\/6)\/(1\/(-8)). Solve z*j - 16 = -4, -4*j = -2*l - 4 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1+-1325973.394\nAnswer: -1325973.294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -1\/7, -196, 2\/3?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3163002679?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 476489788 is divided by 1026.\nAnswer: 1024","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 143977 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6 - 1 - 21*d**3 + 7 + (0*d + 2*d - 3*d)*(7*d**2 - 4*d**2 + 0*d**2).\nAnswer: -24*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aaa when three letters picked without replacement from ggaaaag?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes after 6:16 AM?\nAnswer: 1:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -385 - -387. Calculate the remainder when (9\/(-2 + 11))\/(v\/178) is divided by 48.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -22 - -27. Suppose 4*m + 3*d - 4 = -0*d, 3*m + r*d + 8 = 0. What is the third derivative of -25*c**2 + 2*c**4 + 18*c**m + 4*c**2 wrt c?\nAnswer: 480*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -79 + 75. Which is the nearest to -1\/3? (a) -0.3 (b) 2 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2163635 to the power of 1\/2, to the nearest integer?\nAnswer: 1471","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -34*k**3 - 4*k**4 + 1 + 3*k + 34*k**3 - 2*k in the form l*k**4 + x*k**2 + v + f*k + d*k**3 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 50143220 (base 6) in base 13?\nAnswer: 3a641c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(12\/7)*a)\/a)\/(a*a**29*a)*(a**(2\/13))**(-9\/5) assuming a is positive.\nAnswer: a**(-12996\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (2 + sqrt(242))*6 - (sqrt(768) + sqrt(768) + 1*sqrt(768) + sqrt(768) - sqrt(12))\/(1*sqrt(864)).\nAnswer: 10 + 761*sqrt(2)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((j**(-37)*j*j)\/j)\/(j**22\/j*j*j))**(-17))**(14\/13) assuming j is positive.\nAnswer: j**(14042\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 736 = 2*n + 76, -3*n = 2*c - 990. Does 3 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**2 - p + 1. Let f(h) = -h**3 - 3*h**2 - 4*h + 3. Let s(u) = -f(u) + 5*l(u). Factor s(g).\nAnswer: (g - 2)*(g - 1)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 728469159 to the power of 1\/3, to the nearest integer?\nAnswer: 900","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u = 2*u + 540. What is the units digit of (-3)\/((-5)\/u*3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3413 divided by 21\nAnswer: -3413\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the second derivative of 0*h**2 - h**3 - 1\/180*h**6 + 0*h**4 + 0 - 3*h - 1\/60*h**5. Let i(s) be the second derivative of b(s). Factor i(l).\nAnswer: -2*l*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 160, -16, 98, -1 in decreasing order.\nAnswer: 160, 98, -1, -5, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:53 PM and 10:46 PM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*y + 13*y - 11*y**2 - 29*y.\nAnswer: -11*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-5*(2 + -1))\/1. Let p = 0.03 - 0.83. Let j = -0.5 - p. Which is the third biggest value? (a) m (b) 0.2 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r = -10, 2*y - 23 = -3*y - 4*r for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 2*c**2 + 50*c + 1. Let f be b(-25). Which is smaller: -4\/29 or f?\nAnswer: -4\/29","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**3 + 5*h**3 + 1 - 8*h**3 + h**2 + 11*h**3 + 2*h. Suppose -4*k = -0*k + 8. Let j(u) = -u**3 - 2*u**2 - 1. Let g be j(k). Calculate b(g).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -477431900 to the nearest 1000000.\nAnswer: -477000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1679620?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s + 10, -x - 2*x - 5*s + 25 = 0. Solve x = -2*d - 0*d + 10 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4915 - 32498 = 326*c + 545*c + 59517 for c.\nAnswer: -100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 5*h - h. Suppose 0 = h*k + 5 - 0, 5*p - 2*k = 22. Determine n so that n**3 + 0*n + 49\/4*n**5 + 0*n**2 + 0 + 7*n**p = 0.\nAnswer: -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -2 - 22. Let l = 3 - -12. Suppose -r - 5 = 0, -l = 2*v + 5*r - 0*r. Solve -x + v*x + k = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*n - 10 - 5 = -4*n - 2*m, -m + 2 = 3*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14570 - 14566. Solve 8*d - 52 = -f for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**2 + 2*c + 1. Let r be (2\/12)\/(3\/90). Let n = -7 - -12. Suppose n*o - r*x = -0*o, -o - 4*x + 15 = 0. Give f(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -40 (b) -5 (c) 16 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -683*u**2. Let w(m) = -2*m. Give w(a(k)).\nAnswer: 1366*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -19 - (26 + 17 + -38) - (-2 - 2)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a4a7 (base 11) to base 5.\nAnswer: -421121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 593299.2 nanometers?\nAnswer: 593.2992","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:10 AM and 5:49 AM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -14 - (113 + -129) - -21?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*k - 4*r + 32, -2*k = 14*r - 10*r - 38 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 2*r**3\/7 + 7136*r**2\/7 + 908310*r - 1820700 = 0.\nAnswer: -1785, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 - 3. Let h = a + 4. What is the greatest common factor of h and 22?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/786750 and 8\/9441?\nAnswer: 2360250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**3 - 2*j**2 + 2*j + 2. Let w be (7 - (-102)\/(-24)) + 3\/(-4). Let h(k) = -2*k**3 - 3*k**2 + 3*k + 2. What is w*h(z) - 3*v(z)?\nAnswer: -z**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 21077 - 105383\/5. Factor -24\/5*v**2 - 20 - 18*v - t*v**3.\nAnswer: -2*(v + 2)*(v + 5)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 93213029 is divided by 2908.\nAnswer: 2905","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000009721883 to seven dps.\nAnswer: 0.0000097","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1330 (base 4) to base 16\nAnswer: -7c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*i**4 + 3*i**4 - 26*i**4 + (-i**3 - 2*i**2 + 2*i**2)*(3 + 4*i - 3).\nAnswer: -23*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 870406 divided by -2?\nAnswer: -435203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 57 and 437?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the third derivative of j**6\/120 - j**5\/60 + j**3\/6 + 11*j**2 + 5. Let v(f) = 3*f**3 + 2*f**2 + 5. What is v(i) - 5*z(i)?\nAnswer: -2*i**3 + 7*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.07, 470, 2\/7 in increasing order.\nAnswer: -0.07, 2\/7, 470","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 774*x + 11436.\nAnswer: 774","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -21 and -8.28828.\nAnswer: 174.05388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 488 + -474. Sort -0.6, -2, h in ascending order.\nAnswer: -2, -0.6, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nrlleenrlcnl. What is prob of picking 1 e, 1 n, 1 l, and 1 r?\nAnswer: 16\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + r + 277 = -0*m, -6 = -3*r. Let u = m - -123. What is the smallest common multiple of u and 15?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16933 divided by 44727.\nAnswer: 16933\/44727","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -39, -62, -3132, 2 in decreasing order.\nAnswer: 2, -39, -62, -3132","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) -4 (b) 0.3 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -4446*y - 730*y - 4333*y in the form r + b*y and give b.\nAnswer: -9509","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.28 + 0.02. Let s = 4.9 - -0.1. Let h = 120 - 119.9. What is the closest to h in s, p, 1\/2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2\/26951 - -997227\/539020. What is the common denominator of -151\/228 and w?\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, 265, 1\/13, 1 in decreasing order.\nAnswer: 265, 1, 1\/13, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + -9 - (2 + -3 - -3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**2 - 8*f + 10. Let l be w(-9). Let h = l - 50. Suppose -4*u = -z - h, -4*u + 84 = -2*z - 34. What are the prime factors of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -130 = -4*q + 3*b + 50, 0 = -3*q + 3*b + 132. Calculate the smallest common multiple of q and 8.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 268, -3, -105, 16 in decreasing order.\nAnswer: 268, 16, -3, -105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1162 is divided by 579.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 + 1063143321?\nAnswer: 1063143324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 37 and 0.9.\nAnswer: 33.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -111 divided by -10869.\nAnswer: 37\/3623","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 612, 5186, 17658, 41976, 82088, 141942, 225486?\n\"Answer: 658*t**3 + t**2 - 35*t - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9126948, 9126945, 9126942, 9126939?\nAnswer: 9126936","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 15) to base 11\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add 48 and -99.\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 105076397?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1681931513 to the power of 1\/4, to the nearest integer?\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 31996\/36 - ((-87)\/27 - -3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 4*y + 10. Put 2, y, -4 in decreasing order.\nAnswer: 2, y, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -1706*b**2 + 28*b - 20. Let q(k) = -569*k**2 + 10*k - 7. Give -14*q(p) + 5*s(p).\nAnswer: -564*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (576\/(-5280))\/((-4)\/(-10)). Which is the second smallest value? (a) h (b) -7 (c) 0.3 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mqmmlgmmllmmlllgll. What is prob of picking 2 g, 1 q, and 1 m?\nAnswer: 7\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10634 + -10392. Calculate the smallest common multiple of d and 198.\nAnswer: 2178","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5\/3, -1, 2\/63703 in descending order.\nAnswer: 2\/63703, -1, -5\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 590643154.0174 and 2?\nAnswer: 590643152.0174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is (-8 - -2) + -8 + 8427 + 6 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 61 - (43 + -89 - -76).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 28*k**6 - 28*k**4 - 3069*k**2?\nAnswer: 3360*k**3 - 672*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 79*s**3 - 11*s**2 + 164*s + 175. Give r(-1).\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of v**5 + 157*v**4 + 83682*v**2 - 4*v + 20035994?\nAnswer: 20*v**3 + 1884*v**2 + 167364","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z - v + 49, 5*v = -2*z + 2*v + 42. Suppose -n + 4*h - z = 0, -6 = -2*n - h - 0. Let k(p) = 18*p**2 - p + 1. Is 4 a factor of k(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -2*a - 32. What is o(-17)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -60 + 27 + 14*q**5 + 7*q + 33 wrt q?\nAnswer: 280*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -167540957 divided by 19511?\nAnswer: -8587","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*s**3 + 15*s - 15*s - 2*s**3 + 0*s + 0*s + 4*s**3 + 6*s**3 - 4*s**3 + 6*s**3 - 3*s**3 - 4*s**3 + (-s + 2*s + s)*(3*s**2 + 2*s**2 - 4*s**2).\nAnswer: 15*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(180) + 0 - (0 + (sqrt(5) - sqrt(10)\/sqrt(2)))*1.\nAnswer: 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 988.\nAnswer: 2, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 662?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1, 5, -46.\nAnswer: -46, 0, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 11 in 13, -3, 16148?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 22*w**2 + 3*w + 3. Let h(d) = -1121*d**2 - 152*d - 152. Calculate 3*h(p) + 152*v(p).\nAnswer: -19*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -178 - -337. Suppose -7*q + 10*q - n = 0. Let g = q - 54. Which is smaller: 9 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the third derivative of -1\/6*o**3 + 7*o + 0 + o**2 - 1\/24*o**4. What is h(4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1211 - 1209. Let m be 24*((-76)\/56 - (-3)\/g). Find k, given that -m - 6*k + 12\/7*k**3 + 3\/7*k**4 - 9\/7*k**2 = 0.\nAnswer: -4, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1151.021703 to 1 dp.\nAnswer: -1151","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 47382\/(-795)*((-90)\/(-42))\/3*(-147)\/42?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 59899, 2, -4, 17 in decreasing order.\nAnswer: 59899, 17, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.905857ms to microseconds.\nAnswer: 4905.857","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1197 + w - 1197 + 2394.\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 29495*y**3 + 1392*y**2 + 63237677 wrt y.\nAnswer: 88485*y**2 + 2784*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1408458, 1408423, 1408386, 1408347?\nAnswer: 1408306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.134 + 0.534. Let h = 3.5 - 1.5. Let i = -46 + 137\/3. Which is the closest to h? (a) i (b) 1 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 55*x - 122. Let c be q(11). Let s = c + 955. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2841176693 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -0.95, 0.5, -0.03 in increasing order.\nAnswer: -0.95, -0.03, 0.5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes after 12:20 PM?\nAnswer: 6:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 90\/((1 - 0) + 1). Calculate the remainder when 17 is divided by 92\/10 + (-9)\/t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 5*b - 2)*(2*b - 19*b + 2*b + (0*b - 3*b + 4*b)*(3 - 3 + 2))*(0*b + 2*b + 0*b)*(3 + 5 - 3) in the form m*b + q*b**3 + s + f*b**2 and give q.\nAnswer: -650","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k - 5. Let i be f(13). Suppose g + i = 25. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 - -50?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 38456.208 days?\nAnswer: 5493.744","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*d - 20, 35*d - 10 = -2*f + 40*d for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 19732 * 2196\nAnswer: 43331472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32795968 + 101.7367.\nAnswer: 32796069.7367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -46*d**3 - 1. Let c be j(-1). Suppose -30 = -5*s + r, 4*s - c = 4*r + r. Solve -p - 4*k - 3 = 0, s*p + k + 8 = -7 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*u - 29*u + 11 = 13*p, -3*p + 4*u = -11 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 89723 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*s**6 - 103830*s**4 - 7042960*s**2 wrt s.\nAnswer: 600*s**3 - 2491920*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1825.000231 + 1825. Round l to 4 dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1590368?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 310*v**3 + 5751*v**2 - 12544660*v wrt v?\nAnswer: 1860*v + 11502","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 581\/3 - 1741\/6*j + 289\/3*j**2 + 1\/6*j**3 = 0.\nAnswer: -581, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j\/((j*j\/j**(-1\/3))\/j)*j*j)**(-46)*(j**(2\/3))**25)**(-49))**(-11) assuming j is positive.\nAnswer: j**(-57134)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*l**2 + 8*l**2 - 4*l**2 + (0*l + 3*l - 2*l)*(23 + l - 27 + l) to a*l**2 + r + x*l and give x.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1878\/357 + -4 + 0. Let j = s - 19\/17. Which is the closest to -0.3? (a) 5 (b) 4\/3 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/(-18) - (-160)\/72. Suppose 0*k = 3*k + 2*f - v, 2*k = -3*f - 2. Let x(p) = -24*p - 379. Let q be x(-16). Sort k, q, -3, -5 in descending order.\nAnswer: q, k, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 - 4. Let s be (-2)\/2*11 - -5 - -3. Put 0, b, s, -1 in increasing order.\nAnswer: b, s, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 13*o**3 + 2*o**2 - 2. Let h(r) = -352*r**3 - 55*r**2 + 55. Calculate -55*f(b) - 2*h(b).\nAnswer: -11*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23204 (base 5) to base 11.\nAnswer: -1297","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -i**3*w**2 - 9557*i**3*w - 19*i*w**3 + 13*i*w**2 - w**2 + 4*w wrt w.\nAnswer: -2*i**3 - 114*i*w + 26*i - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/33 and -24\/395?\nAnswer: 13035","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2484?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -63 + 81. Which is smaller: c or -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 - -3121?\nAnswer: 3113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89 = -11*p - 45. Suppose -2*n - 5*u - 18 = -u, 56 = -5*n + u. Let t(j) = j**3 + 11*j**2 - j - 13. Let l be t(n). Put 3, p, l in decreasing order.\nAnswer: p, 3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence znr when three letters picked without replacement from {r: 2, z: 2, n: 1}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 2*n - 8 = 3, -2*n = -2*t + 6. Let o(h) = -11*h**2 - 13*h + 68. Let i be o(10). What is the units digit of t\/(-7) - i\/98?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -27*3\/(-18)*(-8)\/6. Let w(m) = -5*m**2 + 8*m + 2. Let o(x) = 6*x**2 - 9*x - 2. What is g*o(k) - 7*w(k)?\nAnswer: -k**2 - 2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 136\/12*(-69)\/(-2). Let o = z + -208. What is the tens digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -1\/2, 3, 0.14, 2?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10 or -155?\nAnswer: -155","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f - 1 + 1)*(3 - 2 - 3)*(482*f - 5 + 1 - 518*f).\nAnswer: -72*f**2 - 8*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.07 - -1183634722734.\nAnswer: 1183634722733.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*h + 10*h**3 + 0*h**3 + 79*h**2 + 0*h**3 - 3*h**3 - 6*h**3 as b*h + n*h**3 + z*h**2 + l and give z.\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 8871, 35481, 79831, 141921, 221751, 319321?\n\"Answer: 8870*i**2 + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyyhyvyympymhvyvyt. What is prob of sequence mvp?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6099985?\nAnswer: 5, 79, 15443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -119.6237062 less than 1?\nAnswer: 120.6237062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (558\/(-8))\/((-102)\/2176)?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -511, -497, -483?\n\"Answer: 14*u - 525","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -147 or -146?\nAnswer: -147","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 20*n**4 + 340*n**2 + 233*n**2 - 2*n**3 + 3*n**3 - 572*n**2 + 2*n to d*n**4 + i*n + t*n**2 + l + b*n**3 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(132)\/(3*sqrt(12) - sqrt(12)) - sqrt(11) - sqrt(11)).\nAnswer: -15*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1260 = -5*r - 3*s + 3826, 2*r + 2*s = 2036. Suppose -z = 3*z - r. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -144 = 39*l + 3*j, 149*l - 150*l - 4*j + 12 = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 346 - v - 346.\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 77278 + -4?\nAnswer: 77274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 51.498 to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 2*k = -3*v + 1736, 3*k + 2172 = 5*v. What is the hundreds digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 + 5. Suppose -2*r + 5*r + 9 = 0. Suppose 4*i = 6*i - 10. Sort u, i, r in increasing order.\nAnswer: r, u, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 + 916*i**2 + 1 + 157*i**2 + 6.\nAnswer: 1073*i**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the third derivative of 27*s**8\/112 - 48*s**7\/35 + 59*s**6\/40 + 77*s**5\/30 - s**4\/6 - 4*s**3\/3 + 13*s**2 + 2*s. Suppose x(y) = 0. What is y?\nAnswer: -1\/3, 2\/9, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -10*d + 19. Let g(i) = 28*i. Determine g(f(r)).\nAnswer: -280*r + 532","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -105.7 - -106. Which is the closest to -2? (a) 1\/4 (b) -1\/4 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p. Let y(n) = -6*n - 3*n - 4*n - 9*n. What is m(y(l))?\nAnswer: 22*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 2308158?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4601 and 321.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*y - 10*y - 9 = 0. Suppose -y*p - 3 = 6. Let o = 0.5 + 0. Which is the third biggest value? (a) -1\/6 (b) p (c) o (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*o + 43*o - 35 + 596 for o.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6670, 12868, 19050, 25216?\nAnswer: 31366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l + 2*a - 1 = 8*l, -2*a - 17 = 3*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q + 13 - 1. Let f(l) = -l**2 - 7*l - 6. Let r be f(q). Suppose 0*v + r = 2*v. Solve 2*y - 1 = -v for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 2 r, and 1 q when four letters picked without replacement from darqqrqqdladaalrqpq?\nAnswer: 9\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -136.\nAnswer: -3\/136","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -68*t + 336. Determine l(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from khuaaaakkatkuathkaaa. What is prob of sequence kau?\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p - 6. Let d be s(-6). Let m(u) be the first derivative of -1\/3*u**3 + 1\/2*u**2 - 2 + d*u. What is the second derivative of m(r) wrt r?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 19*w**3 + 5*w**2 - 1331*w.\nAnswer: 114*w + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - p = 7, 0 = 2*l + 2*p + 4 + 2. Suppose -5*u + 69 = 2*a, 2*a = -0*u + l*u + 90. What is the tens digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-188)\/(-705)*((-90)\/48)\/5.\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 241884 and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yslsqlqlly. Give prob of picking 2 q and 2 l.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*u**3 + 0*u**3 - 3*u**3)*(306 + 318 - 868 - 994) in the form a*u**3 + f*u + o + w*u**2 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve d + 95 - 76 = 4*k, 0 = 8*d + 3*k + 12 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2*100\/20)\/(-38).\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19, -61, -111, -169, -235, -309, -391?\nAnswer: -481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-1\/5)\/(v\/((v*v**(-1\/4))\/v*v))*v**1\/v**(1\/7) assuming v is positive.\nAnswer: v**(57\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 22*i + 8. Let a(k) = -7*k - 3. Suppose -5*l + 143 = -5*o + 7*o, 0 = -5*o - 4*l + 315. Suppose -24 = 62*m - o*m. Determine m*a(w) - 3*j(w).\nAnswer: -10*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -27*n**3 + 4*n**2 + 38. Let m(v) = -83*v**3 + 11*v**2 + 114. Let o(r) = 4*m(r) - 11*q(r). Find the first derivative of o(l) wrt l.\nAnswer: -105*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -13*o**2 + 262*o - 298. What is p(19)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: What is -1100001111110110111110 (base 2) in base 9?\nAnswer: -6033208","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1011\/910 - (8 + 306\/(-39)) and 151\/9 + 6\/27.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -398*t - 5965. Let r be m(-15). Let p(o) be the first derivative of 2*o**2 - 12 + 1\/5*o**r - o**4 - 3*o + 2\/3*o**3. Factor p(w).\nAnswer: (w - 3)*(w - 1)**2*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -148428703 divided by 148428703.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*j**2 - 12 - 24*j + 63 + 25*j wrt j.\nAnswer: -4*j + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 214 a factor of 502885020?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*d**2 - 4*d**4 - 2*d**2 + (-2*d - d + d)*(d**2 - d**2 - 6*d**2)*(0 + d + 0).\nAnswer: 8*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 16) to base 2\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 44268 + -25130. What are the prime factors of c?\nAnswer: 2, 7, 1367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2*-4)\/(6\/(((-385)\/539)\/(4\/378)))?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8.7 + -8.7. Let n = 93 + -92.9. What is the closest to j in 0.3, n, -2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y - 34. Let u be w(10). Let l = u + 41. Let b = 1283\/1536 - 1\/512. What is the smallest value in b, 1, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*b + 94 = 196 - 38 for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -2*y**3 - 23*y**2 + 103*y - 26. What is h(-15)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 144 + -97. Let c = -44 + v. Suppose -3*a + 0*m = 4*m - 7, -3*m + c = 0. Sort a, -3, 0.08, 0.3.\nAnswer: -3, 0.08, 0.3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -723714100645*s - 56*s**2 + 723714100645*s + 46*s**2.\nAnswer: -10*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 115\/20 - (-9)\/4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 186733796?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -2*p - 3*k - 11, -k = 2*p - 1. Solve -4*l - 2*o + 24 = 0, -3*l + 2*o + p = -9 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 + 0 + 3)*(34*n + 2*n + 40*n)*(0*n**3 - 3*n**3 + n**3) as h*n**4 + u*n**2 + r*n**3 + j*n + w and give h.\nAnswer: 456","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-691 + 358 + 3*c + 377)*(-5*c - 2*c + 4*c + (-2 + 0 + 0)*(3 - 3 + c)).\nAnswer: -15*c**2 - 220*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence udzd when four letters picked without replacement from dhhuuzzdu.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -288 - -288.121. Which is smaller: 0.1 or x?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w + 25. Let c(x) = 2*x**2 - 2*x + 1488. Calculate c(k) - 2*i(k).\nAnswer: 2*k**2 + 1438","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 + 0. Let l be 6\/(2 - o\/(-2)). Suppose 0 = j + 3*s - l, -4*j - 2*s + 25 = s. What is the highest common divisor of 56 and j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*t - 9658 = -12337. Sort t, -4, -2, 16 in decreasing order.\nAnswer: 16, -2, -4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q - 6. Let f(p) = -24*p - 12 + 79*p - 14*p - 17*p - 22*p. Calculate -9*b(r) + 4*f(r).\nAnswer: -r + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -27 + 27.2. Let c be 1131\/7 + (-68)\/119. Let d = 479\/3 - c. What is the closest to r in d, 2\/9, 4\/7?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 191.5775 rounded to the nearest 10?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve x = 2*t + 11 - 32, -4*x - 4*t - 487 = -511 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -28*v**4 + 1682*v**3 - 2176*v**2 - 2794*v + 1100. Let d(w) = w**4 + 3*w**3 + 2*w + 2. Let h(c) = 4*d(c) + g(c). Let h(z) = 0. Calculate z.\nAnswer: -1, 1\/3, 2, 277\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cyb when three letters picked without replacement from {b: 1, d: 7, t: 1, c: 1, y: 3}.\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4771 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 2 + -1 - (32 + (25 - 88)).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 2*o**2. Suppose -r + 24 = 2*r - 2*i, 4*r - i = 32. Let j(a) = 8 - r*a - 8. Determine j(g(c)).\nAnswer: -16*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -1407*a + 8. Is q(-3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*m + 0*m - 11*m)*(-m**3 + 1 - 1 + m**2).\nAnswer: 17*m**4 - 17*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q\/(q\/(q*(q\/(q*q**(3\/2)*q)*q)\/q)))*q\/q**(2\/9))\/((q**(-1)*q)\/q**(-2))*(q**(-2)\/q**4)**41 assuming q is positive.\nAnswer: q**(-4405\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12738109?\nAnswer: 2897, 4397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 969124397 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nin when three letters picked without replacement from {n: 4, i: 15}.\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2.5, 2\/3, 260, 5.\nAnswer: 2\/3, 2.5, 5, 260","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3214224233 - 1?\nAnswer: 3214224232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -17.1 (b) 1\/4 (c) 3\/7 (d) -2\/15 (e) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 41 - 44. Let u = -3.8 + 1.9. Let w = 2 + u. What is the biggest value in -2, w, r?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the second derivative of -15*x + 0 + 2\/3*x**4 + 2\/3*x**3 + 0*x**2 - 4\/15*x**6 + 0*x**5 - 2\/21*x**7. Factor y(o).\nAnswer: -4*o*(o - 1)*(o + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-18)\/30 + 3\/(90\/12). What is the closest to 2 in 2\/7, n, -12\/11?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tkttktk. What is prob of sequence kkk?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the second derivative of -5*k**4\/3 + k**3\/3 + 16*k. What is the second derivative of o(x) wrt x?\nAnswer: -40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -6*b**3 - 6*b**2 - 6*b - 5. Give w(-2).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5428, 16658, 47152, 106546, 204476, 350578, 554488, 825842?\nAnswer: 1174276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -1979 and -1991 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 5*k**4 + 161015*k**3 + 321995*k**2 - 483015*k = 0?\nAnswer: -32201, -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5.3 + -8.2. Let j = l - 1.1. Which is the third smallest value? (a) j (b) 1 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 40766 - 35439. Calculate the greatest common factor of 7 and g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 20\/4 - ((-936)\/(-1456))\/(12\/98). Which is smaller: 1\/3372 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 7, t: 4, b: 2}. Give prob of sequence lbtl.\nAnswer: 14\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/5, -3\/11, 3, -4?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5\/(-12) - 1\/4. Let b = 123 + -127.3. Let r = b - -4.5. Sort 5, r, g in decreasing order.\nAnswer: 5, r, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-7 - -6) + 125 - 3?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 7*a + 5*h - 16, 2*h - 2 = a. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9\/8, 4, -4 in increasing order.\nAnswer: -4, 9\/8, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 152727.918 hours in weeks?\nAnswer: 909.09475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 9822, 9790, 9734, 9654, 9550?\n\"Answer: -12*i**2 + 4*i + 9830","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2465 + -1715. What is the tens digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is c - 112?\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 b, and 2 z when four letters picked without replacement from {n: 6, d: 3, b: 1, v: 1, z: 2}.\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -336*d + 136*d = -171*d + 493 for d.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/2*(-4)\/3. Suppose 21*d - 4*d = 2*d. Let z(i) = 0 + 3 - i + 1 + d*i. Let t(v) = 2*v - 5. Determine y*t(o) - 3*z(o).\nAnswer: -o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**3 + s + 3. Let a(h) = 10*h**3 + 208*h**2 - 5*h - 21. What is -a(l) - 7*f(l)?\nAnswer: -3*l**3 - 208*l**2 - 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**3\/3 - 1325*r**2 - 5293*r + 19855\/3.\nAnswer: -(r - 1)*(r + 5)*(r + 3971)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 bigger than -201\/40?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 497.4 to the nearest 10.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29764393*i**3 + 59528792*i**3 - 29764403*i**3.\nAnswer: -4*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/8 and -43\/694.\nAnswer: 2776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-476)\/(-16) - 1) + -4 and -11\/5.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 307473604 and 1137?\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -8*i - 5*t + 20, 2*t - 9 = -3*i. Suppose 0 = 2*d + 3 - i. Which is smaller: d or 1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-4))\/(69\/(-12) + 6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61 + 39 = 4*q. Suppose 5*l - 3*l - 4*w - 26 = 0, q = -5*w. Suppose 0*z - 129 = -l*z. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 49.077 times -8.68\nAnswer: -425.98836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*t + 6*t + 4*t - 15*t - t.\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 533848 times 0.5\nAnswer: 266924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1675876?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3896095 is divided by 481?\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 34545 rounded to the nearest 100?\nAnswer: 34500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (17 + -4 + -9)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 200079990*l**2 - 610611646.\nAnswer: 400159980*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -6656 smaller than 102?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*h - 13*h - 7 = -f, -5*h = -3*f + 5 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 258, 288, 318, 348, 378?\nAnswer: 408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1436013 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(j) = -j**3 + 4*j**2 + 9*j - 11. Suppose -b - 2*p = 1 + 4, p + 15 = 2*b. Does 7 divide z(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n - 1 = -2*n - 3*z, n + 16 = -4*z for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = 2*d - 3*p + 5, -3*d = -3*p + 3. Suppose 181 = v + 177. Put d, -3, v in increasing order.\nAnswer: -3, d, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-65)\/(-9) + 8\/(-36) + 0. Suppose 13 = z*y - 8. Solve y*k = -k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from unuuunuuu. Give prob of sequence nnu.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (x**2 + x**2 + 0*x**2)*(20215*x + 47341*x - 18267*x) to h*x**3 + n + g*x**2 + v*x and give h.\nAnswer: 98578","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 244 + 15*f - 244 as m + u*f and give u.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 + -3 - -4*(-21)\/(-6). Solve s + c = 7*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 19, 56, 115, 202, 323, 484?\n\"Answer: h**3 + 5*h**2 + 15*h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 262027 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 1268.719 to the nearest 100.\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7139760.\nAnswer: 2, 3, 5, 71, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -139\/94 - -789\/470. Put 11, 1\/7, l, 1\/6, -2 in ascending order.\nAnswer: -2, 1\/7, 1\/6, l, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-3794)\/3)\/7*(1 + -4)?\nAnswer: 2, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 348733?\nAnswer: 7, 11, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1287\/715 - ((36\/171)\/(-2) - (-358)\/152).\nAnswer: -9\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the third derivative of m**8\/12 + 40*m**7\/21 + 224*m**6\/15 + 94*m**5\/3 - 775*m**4\/6 - 500*m**3\/3 + 816*m**2. Solve a(d) = 0 for d.\nAnswer: -5, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:05 AM and 7:32 AM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 4*j**5\/7 - 64*j**4\/7 - 556*j**3\/7 + 12952*j**2\/7 - 6144*j - 8064 = 0.\nAnswer: -14, -1, 7, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kk when two letters picked without replacement from {o: 1, k: 10, i: 4, z: 5}?\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -7*z**3 - 25*z**2 + 9*z + 11. Let k(l) = -3*l**3 - 12*l**2 + 4*l + 5. Let g(p) = -9*k(p) + 4*u(p). What is the common denominator of -91\/8 and g(7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -a7c (base 13) to base 11\nAnswer: -1390","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - (-5 - -13 - -13)) + (-1 - -1)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jueeeejujejj. Give prob of sequence eej.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-684)\/(-48))\/((-6)\/(-16)). Calculate the remainder when 111 is divided by (3\/(-3))\/((1\/p)\/(-1)).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 3) to base 13\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.05 times -36.84221\nAnswer: 1.8421105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11692 and 2528.\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 953815, 953818, 953821?\nAnswer: 953824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0\/1*(-1)\/1. Let m(h) = -2*h + 1. Let n be m(-1). Suppose -n*c - 6 = 5*r, r = -3*r - 4*c. Sort -5, r, s in descending order.\nAnswer: s, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0050648 to three dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 3*s = -16967, 0*s = -5*a - 5*s + 21165. List the prime factors of a.\nAnswer: 2, 13, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7\/(-5) + 336\/240\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5328.\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8393.\nAnswer: 7, 11, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 divided by 144626?\nAnswer: 13\/144626","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes after 12:50 PM?\nAnswer: 6:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -56*v - 28. Let g be h(-2). Calculate the highest common factor of 12 and g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2651160 divided by 2?\nAnswer: -1325580","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -484c (base 14) in base 2?\nAnswer: -11000101000100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9.5 - 5.5. Which is the second biggest value? (a) 1\/6 (b) r (c) -4 (d) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 241 a factor of 69408?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -394 = 23*k - 131 + 105 for k.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -72 less than -2227?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yffaffgaahhgfgf. Give prob of picking 1 h and 1 y.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12723824 or -12723825?\nAnswer: -12723825","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 27.3 - -0.7. Let m = h + -27.7. Which is the third smallest value? (a) m (b) 2 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*b**3\/9 - 212*b**2\/9 + 422*b\/9 - 76\/9.\nAnswer: 2*(b - 19)*(b - 2)*(5*b - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1203 - -2172. List the prime factors of a.\nAnswer: 3, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5860000 to the nearest 1000000.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oowowpwoowoop. Give prob of picking 3 o.\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange b**4 + 47 - 51 + b**4 - 3*b to u*b + r*b**4 + f*b**2 + l + c*b**3 and give l.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 11*y = -655, -5*u + 8*u - 885 = 3*y. Calculate the greatest common factor of 135 and u.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:52 AM and 11:41 PM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -2472 greater than or equal to -2472?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9760 and 2318.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17797*r - 8*r**2 + 96*r**4 - 35603*r + 17807*r + 2*r**3 to v + i*r**3 + l*r**4 + n*r + a*r**2 and give l.\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -642642*x**2 + 3*x - 40526 wrt x.\nAnswer: -1285284","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-2\/75)\/u)**(-5\/13))**(2\/3) assuming u is positive.\nAnswer: u**(154\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -193 - 3*g + 13*g - 3*g - 5*g in the form t + x*g and give t.\nAnswer: -193","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -s**5 + 11*s**4 + 45*s**3 - 31*s**2 - 148*s - 84 = 0. Calculate s.\nAnswer: -3, -1, 2, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 485128990.\nAnswer: 2, 5, 48512899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 6\/25 of a kilometer?\nAnswer: 24000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 896356121.\nAnswer: 6977, 128473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:48 AM and 6:46 PM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*v**2 + 0*v**2 - 2*v**5 + (-5*v**2 - 4*v**2 - 5*v**2)*(2*v**3 + 4 - 4) + 3 - 3 + v**5.\nAnswer: -29*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -0*z - 3*z - 180, -3*z - 360 = -2*k. Suppose -3*a = -4*r + 362, r + r - k = 2*a. Suppose 94*g - 332 = r*g. What are the prime factors of g?\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**2 + 10*x + 16. Let b be o(11). Suppose 8*w - 3759 = b*w. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1111 - 1001101000?\nAnswer: -1001011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 57264114?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 2*a + 14. Let l(m) = m + 7. Let o(s) = 3*c(s) - 5*l(s). Let b be o(-4). Which is bigger: b or 0.2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2877283 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*(i*(i**(1\/3)\/i)\/i)\/i)**(2\/81))**(-8\/11) assuming i is positive.\nAnswer: i**(32\/2673)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 626193 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:22 PM and 3:05 AM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2 + 9 - (-1 - -7)\/2. Suppose -14 = -3*v + t*k, -v + 19*k + 7 = 20*k. Solve 0*j = -v*j + 12 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is (((-56)\/(-14))\/((-28)\/(-2)))\/((-260)\/(-91))?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4375\/13185 + (3 + -1)\/(-6). Which is smaller: -1 or h?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from stsq. Give prob of sequence tq.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*l = -5*l - 27. Suppose -2*k = k - a - 204, 5*k - 326 = -l*a. What is the second derivative of 5 - 5 + 88*s - k*s + 16*s**2 wrt s?\nAnswer: 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y + 11*y - 356778 = 0. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 25 * -13168211.\nAnswer: -329205275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4606871 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 126 + 54*c - 101*c + 44*c. Let h be g(32). Solve -6 = 6*v - h for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -6133445 + -2?\nAnswer: -6133447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5403 is divided by 895.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from izzzhziahhzz. What is prob of picking 1 z and 1 a?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 16610 to the power of 1\/4, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 263*j**2 + 31*j + 785*j**2 - 29*j**3 - 257*j**2 + 9*j**3 - 264*j**2 to the form l*j**2 + t + s*j**3 + u*j and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-5\/4)\/o*o**(-1\/3))\/((o\/(o\/(o*o**(-1\/6))))\/o**(6\/5)) assuming o is positive.\nAnswer: o**(-133\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -169\/9795180 and -13\/3540?\nAnswer: 9795180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 37 - 21. Let z be (-3 - -1)\/(h\/24). Let l be 2\/(z\/((-42)\/4)). Solve 2*w = l*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -144206.7243 rounded to the nearest 10000?\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 34096*i**2 - 35093*i**2 + 1 - 1 as s + k*i**2 + v*i and give k.\nAnswer: -997","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add together 465184 and 1.879983307.\nAnswer: 465185.879983307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 - (0\/(-2) + -4). Suppose -2*x = -4*x. Suppose z*b + b - 20 = x. Solve 0 = 2*n - 0 - b for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 73?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -1 + 1 - 4*r**3. Let l(n) = -3*n**3 + n. Let x = -1 - 1. Let z(w) = x*k(w) + 3*l(w). Find the second derivative of z(a) wrt a.\nAnswer: -6*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the third derivative of -3*u**7\/140 - 7*u**6\/80 + 3*u**5\/20 - 97*u**2. Factor a(y).\nAnswer: -3*y**2*(y + 3)*(3*y - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -18 + 21. Let b(l) = 2*l - 5. Let t be b(c). Does 2 divide t\/(5\/165*3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (12 - (1 + (4 - (-3 - (1 + -3)))))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.63062g to micrograms.\nAnswer: 630620","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 67\/5 of a millennium in years?\nAnswer: 13400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**3 - 10*q**2 - 9*q + 3. Let v be j(-9). Solve -2*w + v*w = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 + -45 + (12 + -41 - -68)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -73.2*0.05\nAnswer: -3.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13233 + -13110. Solve p*x - 120*x = 5*m - 15, 4*m - 12 = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 0, 4, 138, 5 in increasing order.\nAnswer: -6, 0, 4, 5, 138","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(1\/2))**38 assuming u is positive.\nAnswer: u**57","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 16\/27 and 83\/2168103.\nAnswer: 19512927","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -18, -1.4, -1, 2\/35, -15, 21, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -106*q - 183 wrt q.\nAnswer: -106","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*l + 5105 = -8*l - 2*a, 5125 = 5*l + 2*a. Calculate the highest common divisor of l and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 3*x. Let s(w) = -2*w. Let r(d) = 4*h(d) + 5*s(d). Let m(p) be the second derivative of 0*p**2 + 0 + 1\/2*p**4 + p + 0*p**3. Give m(r(c)).\nAnswer: 24*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -16 and 0.1385?\nAnswer: -2.216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60690666?\nAnswer: 2, 3, 179, 56509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -58\/590751 and -187\/843930.\nAnswer: 5907510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 264\/352*(-120)\/(-72)\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6\/29, 2\/1913, 2\/7, 7.\nAnswer: -6\/29, 2\/1913, 2\/7, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -172 - -0.439673982.\nAnswer: -171.560326018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**2 + 6*p + 9. Let v be r(-3). Let x(m) = -m**3 + 5*m**2 + 4*m - 6. Calculate the remainder when x(4) is divided by ((-1 - v) + (-2)\/(-4))*-28.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(540)\/sqrt(12).\nAnswer: 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p - 36*p + 7*p + (0*p + 3*p - 4*p)*(-3 + 4 + 0))*(-124*p**4 + 4665*p**3 - 4665*p**3) - p**5 + 0*p + 0*p.\nAnswer: 3347*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = -r - 2*z, -74*r - 160 = -57*r - 5*z for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**3 - 20*c**2 + 38*c - 34. Let r be m(18). Let z be 48\/(-28) - -1 - -1. Let o = 63\/2 - 31. What is the nearest to o in r, -0.2, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the third derivative of -7*a**6\/60 - a**5\/60 + 8*a**2. Find the third derivative of c(s) wrt s.\nAnswer: -84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three quarters of a millisecond in microseconds?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d + 1. Let p be u(2). Let t = p + 4. Solve -2 = w - 4*z - 25, 2*z = -t*w - 1 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -249 - 547*b**2 + 249 + (0 + 0 + b)*(3*b + 3*b - 3*b).\nAnswer: -544*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 2*i**3 - 2*i**2 - 1. Suppose 0 = -5*a - 4*o + 534 - 138, a = -3*o + 88. Let q(j) = -16*j**2 + 5*j**2 - 80 + 10*j**3 + a. What is -11*g(t) + 2*q(t)?\nAnswer: -2*t**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 1864?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, 4, 5, 4441.42, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*((z*z**(-2\/3)\/z)\/z)\/z*z*z**(6\/7)*(z*z**(-1\/2)*z)**(-10\/3))\/(z*z**(-3\/4)*z**(3\/5))**(13\/4) assuming z is positive.\nAnswer: z**(-12721\/1680)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xijn when four letters picked without replacement from {p: 1, n: 2, i: 2, j: 7, l: 2, x: 1}.\nAnswer: 1\/1170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 1076*k = 1072*k - 10, 0 = 5*f + 4*k + 45 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve v + 5*d = 3, 277*d = 274*d for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the third derivative of -d**4\/24 - d**3\/3 + d**2. Let s be ((-60)\/50)\/(4\/(-10)). Let o(f) = -2*f - 3. What is s*o(h) - 4*i(h)?\nAnswer: -2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -2*s**2 - 25*s - 24. Let h be l(-11). Let z be (-4)\/((-120)\/h) + 24\/20. Factor -27\/4*t**2 + z - 21\/4*t.\nAnswer: -3*(t + 1)*(9*t - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 5*v**2 - 10*v - 10. Let r(f) = f**2. Let x(j) = j**2 - j - 1. Let n(k) = -r(k) + 2*x(k). Let w be (-2)\/(-9) - (-20)\/(-9). What is w*c(u) + 11*n(u)?\nAnswer: u**2 - 2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 - 2. Let u = 26 + -51\/2. Let z = 1.98 - -0.02. Put u, t, z in decreasing order.\nAnswer: z, u, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/27*(-6)\/10. Let r = -22\/57 + 1\/19. Let m = -2 + 5. Which is the second biggest value? (a) r (b) m (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.467 - 0.467. Let j be 4\/((-8)\/3) + 2. Which is the closest to j? (a) o (b) 2\/9 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes before 8:52 PM?\nAnswer: 9:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -8, 4\/5, -13, -0.07, -0.2?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 160 and 191581380.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*q + 7 = -31 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes after 4:42 PM?\nAnswer: 5:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -689, -1, 1\/37, 0.3 in decreasing order.\nAnswer: 0.3, 1\/37, 0, -1, -689","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00005945289 rounded to six dps?\nAnswer: 0.000059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000847390709 rounded to 5 decimal places?\nAnswer: -0.00085","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 0 - 192*v - 3.\nAnswer: -192*v - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3, -1\/4, 7048\/87, 5, 2.\nAnswer: -2, -1\/4, 2, 3, 5, 7048\/87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/(-6) - 175555\/(-150). Let r = v - 1174. Find the common denominator of (8\/12)\/((-20)\/363) and r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 280 + -277.19. Let t = 0.19 + x. Let l = 7 - 6.7. What is the second smallest value in 4, t, l?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.6667933us in minutes?\nAnswer: 0.000000044446555","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -7*o**2 - 5*o + 2. Let k(a) = -10*a**2 - 7*a + 3. Let x(r) = -5*k(r) + 7*w(r). Let s be x(2). Let j = s - 0. What are the prime factors of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.71 - 0.710075. What is y rounded to 5 dps?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 467*u + 120. What are the prime factors of v(5)?\nAnswer: 5, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 390?\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11318889 and 246?\nAnswer: 928148898","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*u - 6*u = 92400. Round u to the nearest one thousand.\nAnswer: 23000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.7 - 0.1. Let t = j + 5.5. Let m = 6 - t. Which is the closest to 0? (a) 2\/11 (b) 0.4 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/5 in -5, 2, -0.6, -2, 1606?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**2 + 4*r - 8. Let f be p(2). Let i(l) = 1 - l - 4*l + f*l. What is i(7)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -0.2, 1\/6, -2 in increasing order.\nAnswer: -2, -0.2, 1\/6, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes after 2:23 PM?\nAnswer: 4:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 1 + 5 - 1 - 6.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -910 divided by 130\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*g - g - 3*g)*(1569*g - 749*g - 724*g)*(-3 + 1 + 1) to m*g + s*g**2 + c and give s.\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 79 - -46. Suppose a + w - h = 0, 486 = 4*a - 3*w - 14. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 95, 0.02, 15, 1\/9, -2\/3 in decreasing order.\nAnswer: 95, 15, 1\/9, 0.02, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 49\/4 of a kilogram?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 505 and 27.\nAnswer: 13635","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 13*b = 9*b + 3176, -5*i + 3958 = -b. Does 33 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-15)\/9)\/(8\/(-72)*3)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 4*g - 3. Let a(w) = -w + 3. Let m be a(-1). Suppose p - 3*p = 2*r, -m*p - 3*r + 2 = 0. Calculate t(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3426*n + 1912*n = 128112 for n.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 311*j - 305*j - 6120. List the prime factors of j.\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.217246384 to five decimal places.\nAnswer: 0.21725","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 2667?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 5, e: 14, o: 1}. What is prob of picking 1 e and 1 l?\nAnswer: 7\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > -22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -556 - -1339. What is the remainder when k is divided by 28?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7 by 191.\nAnswer: 7\/191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(2\/49)*r**(1\/45))**(5\/16))**15 assuming r is positive.\nAnswer: r**(1465\/294)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1057127 - 4?\nAnswer: 1057123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -101*d = 222*d - 5168 for d.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 33944\/(-28) + 5 + 99\/(-21). Let h = g + 2412. Is h a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -53*t**2. Let z(g) = 8*g. What is z(k(b))?\nAnswer: -424*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -a + 173, t - 4*a - 31 + 9 = 0. Let s = -6 + 8. Suppose -4*d = s*n - t, 0 = d + 5*n - 4*n - 11. Calculate the remainder when d is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 - 38214818?\nAnswer: -38214813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2, -52, -152, -304, -514, -788, -1132?\nAnswer: -1552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3393399.145 rounded to the nearest 1000?\nAnswer: 3393000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8.77 + -9. Let y = t - -0.23. What is the nearest to -3 in 0.2, 1\/3, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 155 (base 11) to base 10.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 + 1 - -10)*(-68)\/(-170). Suppose -9291 = -r - x*u, -18578 = -2*r - 5*u + u. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4 + 1111.2.\nAnswer: 1110.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -131\/2976 and -39\/1530160?\nAnswer: 9180960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 7\/2 of a gram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 5*k = -5*h + 630, -h - 3*k = -134. Suppose 316 + h = 6*c. Is 25 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a microgram in nanograms?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 50 - 52. Which is the smallest value? (a) v (b) -0.6 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 167475 is divided by 1319?\nAnswer: 1281","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3427877645?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 258 is divided by 33.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 13 = -9*w. Let f be 45 - w\/4*0\/13. What is the greatest common divisor of f and 75?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/29? (a) -1\/26 (b) 0 (c) -22.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 - 0)\/((-6)\/(-4)). Let i = -6 + 6.4. Put t, -0.3, i in descending order.\nAnswer: i, -0.3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 + 192\/(-198))\/(1\/(-6))\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, h: 2, i: 1, g: 1, v: 2}. Give prob of sequence vhg.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4612 (base 7) to base 12.\nAnswer: b77","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 169*g + 390. Let c be y(-2). What is the highest common divisor of 188 and c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 61*g**3 - 26*g**3 - 2.\nAnswer: 35*g**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -5*q - 15245, -2*q = -5*m - 0*q + 15233. Suppose 5*p - 480 = m. Let b = p - 376. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12, 10, 2, -12, -32, -58?\nAnswer: -90","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 2*z**2 + 14*z**2 + 44*z**2.\nAnswer: 56*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 200476 - 4?\nAnswer: 200472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -6*s - 1200. Let t(q) = 4*q + 601. What is -5*t(d) - 3*z(d)?\nAnswer: -2*d + 595","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1196*n - 924 = 191*n - 8123 - 48281 for n.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-119)\/21)\/17)\/((-4)\/((-48)\/(-102))).\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a + 2*y + 100, 2*y = 7*y + 25. What is the remainder when 52 is divided by -3 + 0\/4 + a?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fg when two letters picked without replacement from bbbbcsgcccf?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4359526 + 47988764\/11. Let h = 3097 - p. Let k = 8\/33 + h. Find the common denominator of k and 58\/3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 251 + -246. Let y = 6 + -10. Let f = 3.88 + y. Which is the fourth biggest value? (a) t (b) 2\/7 (c) f (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**1*m*m**(-2\/5)\/m*(m\/m**5)\/m*(m*m**0*m*m*m*m)\/m assuming m is positive.\nAnswer: m**(-2\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:29 AM and 2:17 PM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 3*y - 2*y + 0*y. Let o be d(5). Suppose -15 = -2*q - o*n, 2*q + 10 + 5 = n. Which is the closest to 2\/3? (a) q (b) -0.1 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from odwoznwwwddwwnzodz. What is prob of picking 1 n and 2 o?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 4*b + 9. Let l(a) = -5*a - 10. Let w(m) = -2*l(m) - 3*y(m). Let k be w(4). Calculate the remainder when -6*((-70)\/k)\/(-2) is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f + 45 = 54 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-44)\/11*2 - -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1899 - 33*i + 3857 + 7*i - 1958.\nAnswer: -26*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from {u: 7, j: 10, g: 1}.\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in eighty-one quarters of a millimeter?\nAnswer: 20250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q\/q**(-7\/3)*q**32\/q*(q**(-5))**(2\/27) assuming q is positive.\nAnswer: q**(917\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*g**2*k**3 + 4*g**2 - 3*g + 225*k**3 wrt g.\nAnswer: -6*g*k**3 + 8*g - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/19, -4\/7, -2, -538?\nAnswer: -538","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13212, -13182, -13164, -13164, -13188, -13242, -13332, -13464?\nAnswer: -13644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y. Let c be n(2). Suppose -3*b = t - 20, -5*b - c*t = -2*b - 16. Suppose a - 114 = -b. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*t**3 + 255*t + 58*t**3 - 53*t**3 as v + c*t**2 + b*t**3 + k*t and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 21348893 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1148?\nAnswer: 2, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**2 - 15*k + 2. Let b be 5\/(1\/(2 + -5)). Let y be t(b). Solve -4*n - y*z = -4*z, n + 2*z - 10 = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, a: 1, j: 3, n: 8, u: 1, z: 2}. Give prob of sequence zun.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 170 + -129. What is the common denominator of -45\/22 and s?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**2\/4 + 17129*v\/4 + 158101.\nAnswer: (v + 37)*(v + 17092)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.12, -4, 11.22?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 21*n - 159. What is i(7)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.27 + -0.41. Let q = -612 + 593.46. Let c = q - a. Round c to the nearest integer.\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -52 + 48.1. Let b = 0.5 + n. Round b to the nearest integer.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 136 + -146. Is 5 a factor of (545\/(-10))\/(5\/m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 879193 or 879141?\nAnswer: 879141","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -71742, -71726, -71690, -71628, -71534?\n\"Answer: m**3 + 4*m**2 - 3*m - 71744","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 - 4. Suppose -6*n = -30 + 18. Suppose q*x = 3*r + 36, x - 6*r - 3 = -n*r. Is x a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g + 11 + 7. Suppose -8 = -g*u + 112. Calculate the highest common factor of 80 and u.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 3*i - 5*i. Suppose -4*k + 62 = -u, 0*k + 2*k - 34 = 2*u. What is the least common multiple of (7 + 2)*5\/k and i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gs when two letters picked without replacement from wwsswwwswsgwwswws?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.3, -1, 51, -0.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9 + 22. Let n = -11 + a. Suppose n*l - 35 = -13. What is the greatest common divisor of 11 and l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v + 2. Let k(q) = -6*q - 5. Determine -15*b(s) - 3*k(s).\nAnswer: 3*s - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:00 PM and 7:42 PM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 2*d)*(3*d**4 + 4*d**4 - 6*d**4) + 0*d**5 - d**5 + 3*d**5 + (3 + 2*d - 3)*(-2*d**3 + 2*d**3 + 2*d**4) + 95910*d**3 - 95910*d**3 - 648*d**5.\nAnswer: -640*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mqln when four letters picked without replacement from {n: 2, l: 10, o: 2, m: 1, q: 5}?\nAnswer: 5\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*l - 10*l - 16194 = 6*b, -l + 4061 = b. What is the thousands digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 532 a factor of 3883793?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 7450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 253 - 98. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 205233 + 4?\nAnswer: 205237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the third derivative of -13*x**4\/12 - 5*x**3\/2 + x**2. Let u be a(-3). Let z = u + -58. Solve -6 = z*m + 3*l - 1, 1 = -m - 5*l for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1625318673?\nAnswer: 3, 11, 49252081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -5*-2\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the second derivative of 10*z - 1\/20*z**5 - 1\/2*z**4 + 3\/2*z**2 + 0 + 0*z**3. Let t be f(-6). Solve x = -s + 4, -t*x = -3*s - s + 9 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -32 (base 6) to base 13\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one fifth of a millimeter?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 513*n**3 + 56 wrt n?\nAnswer: 1539*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71*t = -85*t. Solve t = 14*n - 31 + 101 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -f + 4. Suppose w + f = -0*w. Let u be (-2 - w)\/1 + 4. Solve u*c - c = -2 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*l**3 - 2*l**3 - 4*l**3 - 4*l**3 + 6*l**3 + 2*l**3 - l**2 - l**3 + l**2 + (-1 + 1 - 2*l)*(-2*l**2 + 2*l**2 + 2*l**2).\nAnswer: -4*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2313197158.\nAnswer: 2, 1156598579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**3 - z**2 - 3*z - 2. Let m be a(-2). Let s = m - 7. Solve v = y - 7, 2 - s = 4*y + 5*v for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -579\/4 in -2\/9, -1\/5, 1\/85, 4?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/83 in 2, -4, 2\/11, -8?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.03308926 rounded to 3 decimal places?\nAnswer: 1.033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3.22 + 3.22000437. What is z rounded to 7 dps?\nAnswer: 0.0000044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14027?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -18072 - -18075. Solve -2*x + 1 = -5*n, -s*x + 16*n - 5 = 15*n for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 39.\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2251, 4548, 6883, 9250, 11643, 14056, 16483, 18918?\nAnswer: 21355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 3*y = 0. Suppose y = 3*k + 4*k - 28. Calculate the smallest common multiple of k and 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 + -1 + 11 + -1. Let u = -3.9 + -0.1. Let n = -0.423 - -0.923. What is the third smallest value in n, a, u?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (2 - 6 - -5).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -119*v**2 + 93*v**2 - 45*v - 310*v**2 + 43*v - 153*v**2 - 14 to w*v**2 + k*v + h and give w.\nAnswer: -489","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 13479780 to the nearest integer?\nAnswer: 238","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is four thirds of a decade in months?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 + 12 = -3*o. What are the prime factors of 8*3*o\/(-12)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.6682 + -1.1682. What is the closest to 0.5 in 2, -5\/4, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 43291 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 - 3)*(3 - s + 0 - 6).\nAnswer: 5*s + 15","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 180*u - 151*u = 116 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * 22.1.\nAnswer: 22.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1863\/(-5175))\/((-21)\/490).\nAnswer: 42\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -90 + (-6 - -48) + (-37 - -9)?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 193*t - 1120 = -40*t + 93*t for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 6, 2\/11, -2\/11, -12, -98?\nAnswer: -98","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, b: 1, d: 1, x: 1, h: 1, k: 1}. Give prob of picking 1 b, 1 d, and 1 k.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 5, -1, -1224, 2 in increasing order.\nAnswer: -1224, -5, -1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 822108988 to the power of 1\/7, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 745170655 a multiple of 151?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 109326601 to the power of 1\/7, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47225?\nAnswer: 5, 1889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j**4\/3 + 3908*j**3\/3 - 10508*j**2 - 3908*j\/3 + 31520\/3 = 0.\nAnswer: -985, -1, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(1080) + 1*sqrt(1080)*-1))\/(-5*(2*sqrt(360)*6 - sqrt(360))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 232 a factor of 125746?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -218 + -1?\nAnswer: -219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 686473 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5 or 2\/415?\nAnswer: 2\/415","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -4*b**3 + 3*b + 3. Let n(p) = -p**3 + p + 1. Suppose -10*w + 14*w - 120 = 0. Suppose -7*f - 9 = -w. Calculate f*n(h) - g(h).\nAnswer: h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 21083130 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: List the prime factors of 2230685.\nAnswer: 5, 109, 4093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 701014421 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 726 is divided by 171?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 142 - 77?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 41 (b) 5 (c) 0.5 (d) 8 (e) 2 (f) -200 (g) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 - -2. Let j be 71\/(-35) - (-104)\/40. Put -0.4, c, j, 2\/9 in decreasing order.\nAnswer: j, 2\/9, -0.4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence js when two letters picked without replacement from {c: 4, x: 2, s: 1, a: 2, j: 3}?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 316 divided by -316.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the second derivative of -g**7\/147 - 44*g**6\/105 + 8*g**5 - 57*g**4 + 1467*g**3\/7 - 2970*g**2\/7 + 1356*g. Find f, given that j(f) = 0.\nAnswer: -55, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 15 = -p. What is the highest common factor of p and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.43 and -7.\nAnswer: -6.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 54 and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 220191887 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 528260, 528102, 527944, 527786, 527628, 527470?\nAnswer: 527312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -18143*h**6 + 4*h**5*y**2 - h**2*y**2 - 345*h**2*y + 5*y wrt h?\nAnswer: -2177160*h**3 + 240*h**2*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 38 and 8456520.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 166337 and 10086?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 6*o**2 + 844*o + 8455. Give z(-11).\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76*f - 74*f = 4. Solve l = 3*l + f for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes after 7:53 PM?\nAnswer: 3:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -169*j + 171*j + 174 = 0. Let u = j + 72. Let k(v) = 2*v + 28. Let t be k(u). Is t less than -13\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + -5 - (3 - -1 - 2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 3)*(0 - b**2 + 0) - 2*b + 10*b**2 + 3*b + 19*b**2.\nAnswer: 27*b**2 + b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 817471817 - 77657094188\/95. Let b = -28721 + j. Let h = b - -6\/19. Which is bigger: -0.1 or h?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 1 k when three letters picked without replacement from kffkf.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 69593 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - 38) + 8 + 10 + -6?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 3*k - 18, 4*k + 4*n - 2 = 14. Suppose -a - 475 = -q, -2*q + k*a + 1417 = q. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 107 in -0.27, 1\/8, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c**5\/4 - 3*c**4\/4 + 3*c**3\/4 - c**2\/4 = 0. What is c?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t - 12 + 14 = -2*g, -5*g - t = 21 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36\/132*11*-3*(-2)\/(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) -0.3 (c) 1\/4 (d) 2 (e) 9\/4 (f) 0.65 (g) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the second derivative of -k**3\/6 + 7*k**2\/2 + k + 29. Let a be u(4). Solve -a - 9 = -4*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -34*t + 3. Let b(l) = -851*l + 74. Let k(p) = 3*b(p) - 74*v(p). Let y(g) = 3*g. Give y(k(d)).\nAnswer: -111*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 + 2\/2846 - (19 + -20). Let p = -36995\/4269 - z. Let c = 9\/16 + 603\/80. Find the common denominator of c and p.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = 2*f - 2. Let d = f - -15. Solve 0 = -4*z + 5*z + d for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -746 + 27c2a?\nAnswer: 274e4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 3 = -2*p + 15, -p = -3*q - 9. Let o = -8 + p. Let l(x) = x - 4. What is the smallest common multiple of o and l(10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y - 6*y**4 + 5*y**4 - 2*y**4 - y**3)*(4 - 1 - 2).\nAnswer: -3*y**4 - y**3 - y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 16333 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3625123 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 80280?\nAnswer: 2, 3, 5, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y - 8 = -0*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1\/10, 3, -137293 in increasing order.\nAnswer: -137293, -1\/10, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2*k**4 - k**2)*(231*k - 12681 + 12681).\nAnswer: 462*k**5 - 231*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 988\/39*((-533)\/(-26))\/41*-6.\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0, 2, -6, -2 in ascending order.\nAnswer: -6, -2, 0, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 3, d: 8}. What is prob of picking 4 d?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -48*g**5 + 11*g**2*j - 2*g*j + 116*g + 5*j wrt g?\nAnswer: -960*g**3 + 22*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -9*u - 41. Is k(-18) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 200 and 541180.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes before 12:19 PM?\nAnswer: 2:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (24\/9)\/(2\/(-24)). Are q and -32 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 - 272528.\nAnswer: -272528.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -4*l - 89. Let s be k(-21). Sort s, -3, 3, 12 in descending order.\nAnswer: 12, 3, -3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g - 2973 = 2*o - 2969, -5*g = -3*o - 16 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.3267 + -0.0733. Put s, 1.3, 2, -2\/3 in decreasing order.\nAnswer: 2, 1.3, s, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14 + (-22 - -79) - 41) + 63?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum -20790466.0292 and 0.4.\nAnswer: -20790465.6292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.1412, 81, -0.4?\nAnswer: -0.1412","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/5 - (8984*(-50)\/(-126000) + 4\/(-18)).\nAnswer: -22\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 65944984 by -14.\nAnswer: -4710356","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 10 = 3*o, 4 = -2*o - 0. Suppose u + 4*t - 24 = -t, 0 = b*u - 2*t - 30. Suppose u*d - 4*d + 25 = 0, 4*d = 2*y - 10. Which is bigger: -11 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -193 - -383. Suppose z = -2*k - w + 647, 1150 = 5*k + w. What is the hundreds digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 4*z - 2735 - 2357 = 0, -6 = 2*z. Does 127 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -54 - -55. Which is the smallest value? (a) s (b) 19 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 3*l = 0. Suppose l*d - 5 = -d. Suppose 5 = 3*m - y, 0*m = -m - y + 3. Sort d, m, 4 in descending order.\nAnswer: d, 4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in fifty-five quarters of a gram?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 146 to the power of 1\/4, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 2 * -26296.53\nAnswer: -52593.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -82 - -40. Let m be (-3)\/((-126)\/40) - (-12)\/g. Let j = -11\/12 + m. Which is the second smallest value? (a) j (b) 4 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 - 10. Calculate the smallest common multiple of (18\/(-4))\/(m\/4) and 16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19039 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 23.911 - 24. Round p to two decimal places.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 129 divide 44505?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3346507 (base 8) in base 12?\nAnswer: 377547","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**2. Suppose 3*m + 3*j - 72 = 0, 0 = 3*m + 2*j + 2*j - 67. Let l = m - 28. Let p be (l + 5\/(-3))*3. Determine x(p).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -98 - -93. Let j = -362\/609 + 2\/87. Which is the third smallest value? (a) j (b) r (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 105\/(-315) + 56659\/3?\nAnswer: 2, 7, 19, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6604.126m to nanometers.\nAnswer: 6604126000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the third derivative of c**6\/600 - c**5\/60 - 83*c**4\/60 - 16*c**3\/3 + 2*c**2 + 380*c. Factor k(y).\nAnswer: (y - 16)*(y + 1)*(y + 10)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -2031*b**2. Let c(y) = 2*y**2. Determine c(h(k)).\nAnswer: 8249922*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*a + 88*s - 18, 4*a = 4*s - 152263 + 152227 for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -23*b + 11. Let q(w) = 0 + 4 + 4*w - 6. Calculate -6*c(t) - 34*q(t).\nAnswer: 2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 83.60325 micrometers in millimeters?\nAnswer: 0.08360325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes after 1:02 PM?\nAnswer: 9:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jwjjjjjwjw. What is prob of sequence jjw?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 12300014 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 653058 and 146.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -102409 divided by 7.\nAnswer: -102409\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-1928)\/(-10))\/(-11 + (-280)\/(-25)). Suppose -r = -4*o - 2*a, -2*o + 478 = -12*a + 14*a. List the prime factors of o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:58 AM and 2:56 PM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 + 3. Let o(x) = 4*x**3 - 10*x**2 + 11*x - 10. Let d be o(2). Calculate the greatest common divisor of y and d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2dc (base 15) in base 7?\nAnswer: -1626","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 4 + 0*t - 2*t + t + 0*t. Let m be g(0). Suppose 2*y - 60 = -3*y + m*x, -5*x - 24 = -2*y. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 145961483 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.62 + -1.61. Let g = -0.99 + 1. Let w = g - u. What is the biggest value in w, -3, -0.1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 - -1. Suppose -6 - n = -5*u. Let j(v) = v**u - 2*v**2 + 4*v**2. Let g(s) = -2*s**2. Give j(g(o)).\nAnswer: 12*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 834976?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -726 - -723. Put l, -4, -7 in increasing order.\nAnswer: -7, -4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -758.3 not equal to 2233?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 67 = -7. Calculate the remainder when 47 is divided by q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((4\/2)\/16)\/((-704)\/(-4928))\nAnswer: 7\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*m - 5*m + 168 = 0. Suppose -2*b + 4*i = -m, -3*i - 12 + 4 = -4*b. Solve -5*t - b*g = -19, 4*t - 3*g = 2*g + 35 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-208)*-2)\/((-1114)\/(-26736))?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 258 + -261. Put g, -2, 4, 0 in descending order.\nAnswer: 4, 0, -2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1017.4 to the nearest 10.\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q - q + 2*c - 10 = 0, 3*q - 2*c = 2 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*l**4\/7 - 39*l**3 + 2511*l**2\/7 - 8019*l\/7 + 2187\/7 = 0 for l.\nAnswer: 3\/10, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 8989044301 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:40 PM and 12:37 AM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (84\/14)\/((-6)\/8). Let p be (4\/l)\/(2\/(-12)). Let f(m) = -2*m**2 - 2*m + 4 + m**3 - 3*m + m**2. What is f(p)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 101818 to the nearest integer?\nAnswer: 319","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -69055 and 0.03?\nAnswer: -2071.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8337*a - 2477*a + 2751*a.\nAnswer: -8063*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**14\/i**(9\/7))\/(i**(-4\/7)\/i*i*i**(-19)\/i) assuming i is positive.\nAnswer: i**(233\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((5 - 2) + -2)*733?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1764*w**3 + 31*w**2 - 2711440*w wrt w.\nAnswer: 10584*w + 62","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -5803.3 minus 22.13708?\nAnswer: -5825.43708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-44)\/(w**27*w))\/(w**(-2\/91)\/w)**(-17) assuming w is positive.\nAnswer: w**(-8133\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*(-2 - 12\/(-8))*-1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 105 > 0.4606858?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -2*l + 16. Let n be p(4). Suppose -n*m - 651 = -843. Calculate the smallest common multiple of 36 and m.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*w**2 + 17*w + 9 + 2 - 10*w - 25*w**2 - 6*w to v*w**2 + f + i*w and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**5 + n**3 + n. Let f(s) = -s**5 + s**4 + 2*s**3 + s. Let y(a) = -f(a) + j(a). Factor y(z).\nAnswer: z**3*(z - 1)*(2*z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17 * 57506\nAnswer: 977602","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -93 + 92.978. Let x = -0.028 + 1.36. Let z = f + x. What is z rounded to one decimal place?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a century in years?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 876b - 9?\nAnswer: 8762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 122 is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -o + o**3 - 16*o + 2*o**2 + 16*o + 4*o**4 - 1 to the form c*o**2 + x*o + k*o**3 + y + n*o**4 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes after 11:14 AM?\nAnswer: 7:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3 - 0) + (-13 - -1). Let t be i\/(-4)*(-48)\/(-18). Solve -5*o + 17 = 4*z, -t = -o - 3*o - 5*z for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the second derivative of 3\/80*n**5 - n - 1\/16*n**4 + 0*n**3 + 0*n**2 + 0. Let s(t) = 0. What is t?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2*12\/(-16)*-10?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:49 AM and 9:06 PM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -198*d = -405*d + 172*d - 1015 for d.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -2*s**2 + 22*s - 18. Let i be p(10). Suppose 4*g - i*g = 38. Suppose 0 = -g*z + 16*z + 243. List the prime factors of z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*p + 5*t - 16, 2 - 9 = 5*p - 3*t for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -318*b**3 + 9*b + 10. Let u be v(-1). What is the highest common factor of u and 116?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -40, -70, -98, -124, -148?\nAnswer: -170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4680319010.\nAnswer: 2, 5, 468031901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**3 + 2*l**2 - 2*l - 2. Let n(f) = 2*f + 1. Let k be n(-1). Let g be w(k). Suppose -73 = -9*h - 1. Calculate the highest common factor of h and g.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -10*r**2 + 2087*r + 627. Let t be h(209). Let p be (4\/5)\/((-2)\/(-10)). Suppose 0 = -p*x + x. Solve t = -x*z + 4*z + 12 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/52)\/(4\/3*234\/208).\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 526*i - 167269. What is a(318)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*i - 303*i = 2664 for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/38, -0.049, 3, 0.1, -3 in ascending order.\nAnswer: -3, -0.049, -1\/38, 0.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 446*k - 605. Does 9 divide a(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 65703?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -23*j + 406. Calculate the remainder when i(10) is divided by 156.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -409 - 113 - 549 + 4*b**2 - 528 + 350 as z*b + r*b**2 + s and give s.\nAnswer: -1249","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 97*t - 17. Let f(a) = 70*a - 18. Calculate -3*f(p) + 4*l(p).\nAnswer: 178*p - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4 + 0 - -2) + 4. Let y = q + 14. Suppose -p - 64 = -3*p. Calculate the greatest common factor of p and y.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1658.358 days to hours.\nAnswer: 39800.592","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 1 + 0)*(2*d**3 - 2*d**4 - 2*d**3 + (-5 + 4 + 2)*(-2*d**3 + 2*d**3 - 2*d**4)) to the form l*d**3 + c*d**2 + n + h*d + p*d**4 and give p.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 79071.25 seconds to milliseconds.\nAnswer: 79071250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -499 divided by -7327\nAnswer: 499\/7327","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kwkkxfkawfwwkkkaufaf. Give prob of sequence kff.\nAnswer: 7\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - z**2 - 24*z**3 + 62*z**3 - 40*z**3 to k*z**2 + b*z**3 + m*z + g and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1140, -4063, -8782, -15309, -23656, -33835, -45858, -59737?\nAnswer: -75484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 4*q - 31. Let h(s) = 3*s - 30. Let w(l) = -5*h(l) + 4*i(l). Let a be w(-17). Solve f - a + 6 = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-9) - 948\/(-945). Let g = 4\/35 - o. Let h be (-8)\/18 - (-20)\/(-90). What is the closest to g in h, 3, -1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*q = q + 2502. Suppose q = 20*o - 701. What is the greatest common factor of o and 798?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, -4, -2\/5, -22203, -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-42)\/7*9\/(189\/14)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.041 - -0.271. Let p = 3.77 + l. Which is the second smallest value? (a) p (b) -4\/5 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3 and 0.326.\nAnswer: 3.326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -8*f**3 - 2*f - 3. What is the units digit of m(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**3 - 14*m**2 + 6*m + 22. Is k(-15) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.2 (b) 2 (c) -7 (d) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -117*v - 4995. Let m be a(-43). What is the greatest common divisor of m and 4194?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 153462277?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**4\/2 - 6*k**3 - 6*k**2 + 40*k.\nAnswer: -k*(k - 2)*(k + 4)*(k + 10)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*g + 4*g + 4*g)*(-2*g - g + g) + 6*g**2 - 2*g**2 - 5*g**2 + 33*g**2 - 40*g**2 + 25*g**2 + (-2 + 4 + 0)*(g**2 + 0*g**2 + 2*g**2).\nAnswer: 19*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 100\/15*1\/(-4). Is b less than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the first derivative of 2*a**4 - 2*a**3\/3 + a**2 - a + 45. What is f(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**2 - 9*p - 2. Suppose 3*s - 3 + 45 = 2*h, 5*s + 5*h = -95. Let w(j) = 6*j**2 - 46*j - 10. Calculate s*i(c) + 3*w(c).\nAnswer: 2*c**2 + 6*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:12 AM and 9:39 PM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 718 + -411. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23.64799 litres in millilitres?\nAnswer: 23647.99","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-19)*d**(-8\/11)\/d assuming d is positive.\nAnswer: d**(-228\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0 and -4.863.\nAnswer: -4.863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12 - 19. Let c = 8 + y. Sort -5, c, -4 in descending order.\nAnswer: c, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**2 - 13*z + 10. Let p(v) = v**2 + v - 12. Let q be p(5). Let i(d) = -d + 27. Let r be i(q). Let l be t(r). Which is greater: l or -27?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**2\/3 + 3128*j\/3 + 3130\/3.\nAnswer: -2*(j - 1565)*(j + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18946 - 48242 = 132*w. Is w not equal to -12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.999664 + -2. What is a rounded to four dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -860*u**4 - 8*u + 36 wrt u?\nAnswer: -10320*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*y + 3*y - 6. Let u(d) = 13*d**y + 14*d**2 - 7*d**2 - d**2. Calculate the remainder when u(1) is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 149 - 593\/4. Let q(b) be the first derivative of 1\/4*b**2 - d*b**3 + 2 - 1\/4*b**5 + 3\/4*b**4 + 0*b. Determine g so that q(g) = 0.\nAnswer: 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 23 and 74750.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16.84 + -16.6. Put 3, -3\/4, -5\/2, z, 0.43 in descending order.\nAnswer: 3, 0.43, z, -3\/4, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 502469 and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 743*n - 748*n + 8, -2*n - 4*u = 16. Let f(r) be the third derivative of r**6\/120 - r**5\/20 - 5*r**4\/24 - r**3\/2 - r**2. Calculate f(n).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.03 in -19\/1485, 0.2, 1\/4?\nAnswer: -19\/1485","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*s + 29 = 83 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 97224.0781 to the nearest ten thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + (sqrt(108) + 3*sqrt(108) + -5)*4*5*2)*-5)**2.\nAnswer: -9504000*sqrt(3) + 70100100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 + -1 + 306\/76. Let s be 60\/152*36\/27. Let z = s - h. Which is the closest to -1\/3? (a) 3\/7 (b) -1 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-719433)\/29068*8\/9.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (((-147)\/4998)\/(4\/(-68)))\/((-341)\/(-110))\nAnswer: 5\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 372, -1\/2.\nAnswer: -4, -1\/2, 372","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1651 divided by 60\nAnswer: -1651\/60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 3*p = -10. Let m(o) = 63*o + 3. Is m(p) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-44)\/20 - -1)\/(12\/(-40)). Suppose 3*b - 2 = -t + 18, -5*t - 4*b = -56. Let v = t + -6. Solve 4*k + p = -4*a, -3*a - 3 + 4 = v*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 111 divided by -1.\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.039, -2345, -11.69?\nAnswer: 0.039","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.12 in -0.2, -6, 3230?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z - f - 0 - 2, 0 = f - 4. Let v(q) = -q**2 - 17*q**2 - 2*q**2 - 2. Let k be v(z). Round k to the nearest ten.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j and 1 i when four letters picked without replacement from jijjjiiiijjiji?\nAnswer: 35\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 2\/9*g**2 + 2\/3*g - 2\/9*g**4 - 2\/3*g**3.\nAnswer: -2*g*(g - 1)*(g + 1)*(g + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9 - -52. Suppose o*a - 38*a = 585. Suppose -5*b + 38 = -27. Calculate the highest common divisor of a and b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8796387 divided by -3.\nAnswer: -2932129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w = -5*z + 11, -2*w - 1807 + 1808 = -z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*q + 5*q - 6*q + 238 = 0 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2621, -5250, -7881, -10514, -13149?\n\"Answer: -q**2 - 2626*q + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes after 8:57 AM?\nAnswer: 8:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 40\/15*6\/4. Let j = 6 - y. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 477998 - 477991.73966. Let g = -6.25 + x. Let o = g + -0.01. What is o rounded to 4 decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**2 - 4*i + 45. Let g be k(-9). Which is the closest to g? (a) -1\/5 (b) 1\/6 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*n = 96*n - 4372 - 4028. Suppose 3*j + 0*m - m = 1048, 3*m - 6 = 0. What is the greatest common factor of n and j?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:04 PM and 4:29 AM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - 1 - (-8 - -3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from blpirnbilirpii. Give prob of picking 1 n and 2 b.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:48 PM and 2:20 AM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1041967 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -2*u**2 + 5*u + 6. Let a(g) = 2*g**2 - 6*g - 6. Give -3*a(c) - 4*m(c).\nAnswer: 2*c**2 - 2*c - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 6412515 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 5*l + l - l**2 - 4 + 16 + 0*l**2. Let r be j(8). Which is smaller: -5 or r?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -34*w + 4262. Let b be o(53). Does b = 2460?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 91*t**3 - 3*t**2 + 9422*t - 9419. Calculate w(1).\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k + 2*k - 282. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z - 54 = 17*z. Let f be ((-32)\/z - 3) + -5. Let l = 2 + f. Which is the nearest to -0.1? (a) 2\/9 (b) l (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**2 + 1. Let t(g) = 8*g**2 + 7*g + 5. Determine 6*a(k) - t(k).\nAnswer: -2*k**2 - 7*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4613 is divided by 2306.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + 2)\/((7611\/18290)\/(-1) + (-2)\/(-5))?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 0 + 5)*(0*k**2 + 0*k**2 + 2*k**3) + 2*k**3 + 0*k**2 + 0*k**2 - 376*k**3 + 637*k**3 + 6*k**2 - 259*k**3 + 21*k.\nAnswer: 6*k**3 + 6*k**2 + 21*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i\/(i\/((i*i**(-3\/5)*i)\/i))*i)\/((i*i*i*i**(-4\/9))\/i) assuming i is positive.\nAnswer: i**(38\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:35 AM and 11:38 AM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2629?\nAnswer: 11, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**3 - 12*b**2 - 14*b - 9. Give l(13).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, -15, -3 in decreasing order.\nAnswer: 17, -3, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -4550*b + 7905. What is q(1)?\nAnswer: 3355","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -92 - (-48 + (95 - 130)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2281835438.\nAnswer: 2, 17, 19, 3532253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 29155871 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*h - 51 = -77 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (222\/370*(-190)\/(-513))\/(11\/27).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*w**4 + 881599*w**3 - 8151862*w**2.\nAnswer: 72*w + 5289594","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 251*z + 256*z - 761*z + 254*z + 76*z**3.\nAnswer: 76*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(34) + (-2*sqrt(1666) - sqrt(1666)))\/sqrt(2)*-6)**2.\nAnswer: 2203200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - (-6 + 12)) + (-6 - -2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3595685515?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/48*(-12)\/1.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -31373631 - 5?\nAnswer: -31373636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes before 4:08 PM?\nAnswer: 5:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xlllxllx. What is prob of picking 1 x and 2 l?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -4*p + 15, -5*y + 45 = -5*p. Let m(u) be the first derivative of -y*u**2 - 6 - 4*u - 32\/3*u**3. Factor m(w).\nAnswer: -4*(2*w + 1)*(4*w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -458749, -917530, -1376311, -1835092, -2293873?\n\"Answer: -458781*t + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11201 + -11?\nAnswer: 11120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*x - 8*x + 9*x = 0. Suppose x*o = 53*o - 121105. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 2*g - 9. Determine k(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 169*k**3 - 39*k + 39. Let p(c) = 17*c**3 - 4*c + 4. Determine -39*p(u) + 4*y(u).\nAnswer: 13*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81847*q + k = -81852*q - 86, 284 = -4*k for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the second derivative of y**5\/20 - y**4 + 2*y**3 - 7*y**2\/2 + 2*y. Let q be c(11). Calculate the common denominator of 44\/7 and ((-273)\/6 + -2)\/q.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 + 18 + 4*g + 1 - 324*g - 13 - 72*g.\nAnswer: -392*g - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1304)\/(-32) + (-9)\/12. Suppose 8*z + u = 3*z. Let p = z + 21. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 35 + -22. Let a = d + -10. Suppose -a*p - 131 = -5*y + 61, 3*y - p = 112. Is y a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence on when two letters picked without replacement from {z: 1, i: 4, j: 7, n: 2, o: 4, s: 1}?\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/1)\/(-3)*(-6)\/63?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the third derivative of -f**4\/24 + 5*f**2. Give w(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3, 4, -368, -2.\nAnswer: -368, -3, -2, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in one quarter of a century?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-33)\/2*(-40)\/3. Suppose -3*s + n = 2*s. List the prime factors of s.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -f + 1233, 0*a - 4*a + 1218 = -2*f. Let s = 111 + -56. Suppose -6*u + a - s = 0. List the prime factors of u.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 212292?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(50)\/sqrt(490) - (-2*sqrt(5) + sqrt(5) + 5).\nAnswer: -5 + 8*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -5*(3*(4 + (-1 + (sqrt(1573) - (sqrt(1573) + 2)) + sqrt(1573) + sqrt(1573))**2) + 3).\nAnswer: -94591 + 1980*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (42\/(-56))\/((-10)\/720*42)?\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11642 - 7196. What is g rounded to the nearest 100?\nAnswer: 4400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 4*m**2 + 31*m + 129. What is the thousands digit of f(-40)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z - 2. Let l be p(-2). Let y(b) = b + 8. Let u be y(l). Let t = u - -6. What are the prime factors of t?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5\/(-2)*(3 + -1). Let k = b - -15. Calculate the remainder when k is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -365*g**4\/6 + 245*g**3 - 1135*g**2\/6 + 5*g = 0.\nAnswer: 0, 2\/73, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (3*sqrt(1377)*-2 - 6*(sqrt(1377) + -1)**2 - (((sqrt(1377) + 1)*1)**2 + ((sqrt(1377) + sqrt(1377)*-2)*-6)**2)).\nAnswer: -59223 + 36*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 209755 rounded to the nearest 1000?\nAnswer: 210000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 15*z. Let j(t) = -404 + 404 - 3*t. Determine w(j(v)).\nAnswer: -45*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1922257 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -217810 divided by -115?\nAnswer: 1894","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m - 28 = 4*u, 49*m + 4*u + 20 = 49*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 12*o**2 - 4*o + 5. Let u be n(2). Suppose 60 = 3*l + u. Solve 3*m = -4*i - 0*i + 15, -3*i - 25 = -l*m for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -2*d**2 + 11*d + 2. Let w be h(8). Let j = w + 58. Solve -j = -6*r + 2*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14 - 5 - 3 - 6 + 36639*z.\nAnswer: 36639*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 11) to base 2\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -15*(-4)\/(-6) + 15\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 78510293 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: Solve 15 = 5*c - 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -6*n**3 + 13*n**2 + 2*n + 42. Let m(c) = 2*c**3 - 4*c**2 - c - 14. Calculate -7*m(u) - 2*v(u).\nAnswer: -2*u**3 + 2*u**2 + 3*u + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = -5*n + 15. Suppose -253 = -4*c + 463. Suppose -5*g - 2*u = -c, -g + 2*u = n*u - 37. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - a**2 + 5*a**3 + 3*a**4 - 3*a**3 + 3*a**4 to the form b*a**3 + h*a + x*a**4 + d + t*a**2 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are -3138325\/3 and -1046109 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9 - 6. Suppose x*c = -2*c. Suppose -4*u + 36 = 4*z, -2*z + 4*u = -c*z. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3*1\/(-5))\/(((-176607)\/(-310))\/633)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 156 and 15?\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*g - 31 + 6*g**2 - 47*g + 40*g as u + a*g**2 + c*g and give a.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -95\/12 and 67\/37029.\nAnswer: 148116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/76827 and 20\/179263.\nAnswer: 537789","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (-1 - 2) + -68 - (-631 + 615)?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 3*q**2 + 141*q - 139. Let y be j(-48). Let b = 1 + -1. Let z be 10\/(24\/10 + -2). Solve -3*g = -2*x - 3 - 7, b = 4*g + y*x + z for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 8*v**2 - 14*v + 41. Let k be a(3). Is 72 at most k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 53996\/19 - 2842. Which is the fourth biggest value? (a) 0.3 (b) 1 (c) 1.26 (d) z\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h**5\/5 - 36*h**4\/5 - 182*h**3\/5 + 104*h**2\/5 + 120*h + 352\/5 = 0. Calculate h.\nAnswer: -4, -1, 2, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nslsccc. What is prob of sequence scs?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 8.113406 centuries?\nAnswer: 81.13406","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3699\/4 - -11359\/12. Find the common denominator of 4\/8 - 22\/28 and c.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 734024 - 180914. Round r to the nearest ten thousand.\nAnswer: 550000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 69590 and 128790213.\nAnswer: 1287902130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(121) - sqrt(121)*1)*4)\/(sqrt(77)\/sqrt(175)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 36*3*(-18)\/(-48)*2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the first derivative of -2 - 54\/5*w**5 + 0*w**2 - 5\/2*w**6 + 0*w + 8*w**3 - 9*w**4. Solve s(o) = 0 for o.\nAnswer: -2, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 1680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1736 - -2.13425126999\nAnswer: 1738.13425126999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, e: 1}. What is prob of sequence vve?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -93\/478240 and 121\/33118120?\nAnswer: 132472480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -2*v**2 + 35*v + 18. Let g be h(18). Suppose -3*x + 24 = f, 5*x - f - f - 29 = g. Calculate the greatest common divisor of 5 and x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0123642916 to 4 dps.\nAnswer: -0.0124","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3b (base 14) to base 4.\nAnswer: -311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 51858296 and 1952.\nAnswer: 207433184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 11, 13, 7, -13, -53, -119, -217, -353?\n\"Answer: -j**3 + 2*j**2 + 3*j + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 329, -7, -531, -1213, -2023?\nAnswer: -2931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -370 or -361?\nAnswer: -361","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 18\/3*2\/6. Let t(z) = z - 4. Let o be t(6). Let s be 9\/o + 6\/(-12). Solve 0 = -g*h - 2*k, 2*h - k - 3 = s*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 8 = n. What is the common denominator of (-24)\/35*10\/n and -42\/11?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 18224*s**5 + 1809*s + 1.\nAnswer: 364480*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/11, -0.5, -971?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3493321*s + 3287703 wrt s.\nAnswer: -3493321","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000579213998 to 5 decimal places.\nAnswer: -0.00058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -5*c + 5*y, 5*c - 1 = 4*y + 5. Let d = 1 + c. What are the prime factors of (-1 + 0)\/d*17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -5*o - 6*a, 0 = -3*o + 4*a. Solve o = -6*s + 4*s + 10 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*h - 6*h = -1637*h + 58284 for h.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 12, y: 3}. What is prob of sequence fyff?\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 - -5965?\nAnswer: 5961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 98065 = -177*m + 188*m. Is m\/9 - 88\/(-198) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*f + f + 4*f)*(-93*f**2 + 185*f**2 + 5*f - 93*f**2).\nAnswer: -f**3 + 5*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1)\/g)**(-1\/4)\/((g**(2\/3)*g)\/(g\/(g\/(g\/g**(-1\/2)))))*(g**(-13)*g*g**(-6)\/g)**40 assuming g is positive.\nAnswer: g**(-2279\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w - 5. Let q be n(3). Let c be 2\/1 + q + 2. What are the prime factors of 12\/c*(-4)\/(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:21 AM and 5:49 PM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t = 2559*o - 2554*o - 28, 16 = 4*o - 4*t for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12 + 10*q - 8\/3*q**2 + 2\/9*q**3.\nAnswer: 2*(q - 6)*(q - 3)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1923, -2103, -2411, -2847, -3411, -4103, -4923?\n\"Answer: -64*l**2 + 12*l - 1871","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 308 is divided by 52.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d - 5*b + 22 = -7*b, 21 = 2*d - 3*b for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5970294356?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 224058, 224684, 225322, 225978, 226658, 227368, 228114?\n\"Answer: l**3 + 619*l + 223438","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 391 - 390. Suppose 0*j = 5*j - 20. Suppose -4*l - 20 = 0, -l + 0 = 3*w - j. Put 4\/7, y, -0.3, w in ascending order.\nAnswer: -0.3, 4\/7, y, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61 is divided by 24.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 90\/4*(-4)\/(-3). Let w = g + -14. Is 16 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44 = f - 5*o, 2*f + 40*o = 42*o + 24 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the second derivative of -g**3\/3 + 9*g**2\/2 + 8*g - 32. What is a(7)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 - 101111010?\nAnswer: -101111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*q + 17*q + q + 31*q.\nAnswer: 37*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*d**2 + 19*d**2 + 2*d**3 - 11*d**2 - d**3.\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((((sqrt(48) - sqrt(768))*6)**2 - (2*sqrt(432))**2) + 3)*5.\nAnswer: 345675","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y. Let s be i(-5). Suppose 0*p + 6 = p + 2*d, 3*p - s*d = 18. What are the prime factors of 1\/(-6) - (-67)\/p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9645, -19290, -28935?\nAnswer: -38580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the third derivative of 5\/12*c**4 + 0*c**7 + 0*c**3 - 9*c**2 + 0*c**6 - 1\/48*c**8 + 0*c + 0*c**5 + 0. What is the second derivative of j(y) wrt y?\nAnswer: -140*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 95 = -43. Which is bigger: w or -181\/4?\nAnswer: -181\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, -3, 1996?\nAnswer: 1996","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**3 + 4*d**2 + 5*d. Let v be b(5). Solve v = 2*x - 4*x - 10 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/2*-1*(11 + 1). Let o be (-5)\/((-30)\/4)*h\/8. Which is smaller: o or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -4 + 1 + 4 + (146 - 151).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -518*q + 38595 + 89441 = 1477*q + 24296 for q.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 31.97 + 134.33. What is i rounded to the nearest 10?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**2. Let i(h) be the third derivative of -3*h**6\/40 + 8*h**3\/3 + h**2. Let j(x) be the first derivative of i(x). Calculate j(m(q)).\nAnswer: -27*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 72*x**3 - 8 - 3*x - 50*x**2 + 104*x**2 - 52*x**2 + 0 - 347*x**3 to the form f*x + u*x**2 + g*x**3 + c and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*o + 18 - 36 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3960 or 2\/3?\nAnswer: 3960","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes after 5:24 PM?\nAnswer: 6:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -49351.1 - -49347.09999904. Let u = f - -4. Round u to 7 dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*j**2 + 8*j**2 - 2*j**2 - 3*j**2.\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (30\/(-27) - -1) + (-15239)\/63. Let q = a - -244. Suppose -2*b = 2 - 6. Calculate the greatest common factor of b and q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 244202?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 s when two letters picked without replacement from {w: 4, i: 1, s: 1, d: 6, p: 2, h: 1}?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**6*b*b**(-17)*b*b)**(-43) assuming b is positive.\nAnswer: b**344","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 610586?\nAnswer: 2, 397, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -158*x + 108 = -176*x for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28683.13*0.8.\nAnswer: -22946.504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2609, -5233, -7869, -10517, -13177?\nAnswer: -15849","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*w**2 + 5*w**2 + 5*w - 3*w - 7*w**2 - 22*w.\nAnswer: -4*w**2 - 20*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 321*h**2 + 4*h. List the prime factors of a(-1).\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2\/4*0)\/1. Suppose -2*k + k + 22 = a. Suppose 15*m - 17*m = -32. Calculate the lowest common multiple of m and k.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z - 4 - 1 + 2)*(0 + 0 - z)*(0*z + 0*z - 2*z).\nAnswer: -4*z**3 - 6*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-6)*(-2)\/((-16)\/12).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*i + 8*i + 5*i + (-1 + 0 - 2)*(-3*i - i + 2*i) - 4*i + 5*i - 2*i - 2*i + 1 - 1 + (-1 - 1 + 4)*(4*i - 2*i + 0*i) - 2 + 2*i + 2)*(-6 + 6 + 7).\nAnswer: 196*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times -1937\nAnswer: 387.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 + 1. Let q = -66.2 - -66. Sort l, -0.5, q.\nAnswer: l, -0.5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -373, -824, -1273, -1720, -2165, -2608?\n\"Answer: r**2 - 454*r + 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 3 = 2*q. Let x be q - 0 - 1*-1. List the prime factors of (-100)\/(-7) - x\/7.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 2*h**2 + 47*h - 71. Let k be s(-25). Find q, given that 2\/7*q**k + 0 + 2\/7*q - 2\/7*q**3 - 2\/7*q**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000192322 to 5 decimal places.\nAnswer: -0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -21 + -283. Let p = 303.9999857 + k. Round p to six dps.\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 104400398 and 3962.\nAnswer: 566","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 5 + ((-1*((sqrt(72) + 0 - sqrt(72)) + sqrt(72)) - sqrt(72)) + 3)**2.\nAnswer: -72*sqrt(2) + 304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00007014 rounded to 6 dps?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 4 - 1 = 0. Is (-1)\/((-3)\/(-1191)*z) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**3 - 8*z**2 + 3*z - 7. Suppose -6*q + 36 = -0*q. Let u(o) = -6*o**2 + 39*o - 2. Calculate the remainder when p(-9) is divided by u(q).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -700 = -10*l - 650 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 9*a**2. Let h be d(-1). What is the units digit of (-2 + 57\/h)*3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -42 + 88. Let z = 11 + -2. Suppose b - 7 = z. What is the remainder when s is divided by b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000219087769 rounded to four dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 1 m when three letters picked without replacement from lvluumluvvvrvlvr.\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -624.397632229 - -4.\nAnswer: -620.397632229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*f - 96 = -56*f + 3*u, -2*f - u - 216 = -232 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(833) + sqrt(833) + 1)**2 - sqrt(833)) + sqrt(833).\nAnswer: 84*sqrt(17) + 3341","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -577*t + 1150. Determine o(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c - f = -21, -17*c + 5*f - 9 - 25 = -22 + 93 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -204, 17, 9, -249, -2 in ascending order.\nAnswer: -249, -204, -2, 9, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 2 z when three letters picked without replacement from {h: 3, y: 1, e: 1, l: 1, z: 5}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*o + 5 - 15 + 4 + 5 to the form z*o + s and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -37 + 110\/3. Let c = -4.8 - 0.2. Let f = -5 + 1. What is the second smallest value in f, b, c?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, r: 3, i: 2, l: 5, d: 6}. What is prob of picking 1 o and 2 r?\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -178060 and 0.005.\nAnswer: -890.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 40 - 16. What is the units digit of 1*(-9)\/((-27)\/x)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12661, -12574, -12295, -11728, -10777, -9346?\nAnswer: -7339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the second derivative of -5*i**9\/3024 + i**8\/336 - i**7\/630 - i**4\/12 - 2*i. Let g(z) be the third derivative of m(z). Factor g(k).\nAnswer: -k**2*(5*k - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*r**5 - 30*r**4 - 58*r**3 + 30*r**2 + 50*r = 0. What is r?\nAnswer: -5\/4, -1, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8.9 + 6.9. Sort 5, -5, 0.03, b.\nAnswer: -5, b, 0.03, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 37, 33, 33, 37?\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 193 divide 225645?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1259, -2497, -3719, -4925, -6115, -7289, -8447?\nAnswer: -9589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1198.3776 months in centuries?\nAnswer: 0.998648","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f + 592 + 1252. Let d = f - 40. Suppose d = 8*u - 171. List the prime factors of u.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -2 (b) -2\/9 (c) -34\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the first derivative of 3\/16*h**2 - 9 - 1\/8*h + 1\/32*h**4 - 1\/8*h**3. Suppose q(p) = 0. What is p?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10) - (sqrt(40)\/(-2*sqrt(4)) - sqrt(10)))\/((sqrt(135)\/sqrt(3))\/sqrt(9)).\nAnswer: 5*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -0*j - 2*j + 15, -2*v + 3 = -j. Let m(y) = y - 9. Let s(k) = 1. Let f(c) = 2*m(c) + 14*s(c). Give f(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2*8\/32*-4. Let l = 28 - 48. Let n be ((-32)\/10 - u)\/((-54)\/l). Which is smaller: 1\/2 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * -8.8\nAnswer: 2.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**2 + b + 3. Let a be w(6). Let y = -54 + 81. Let s = a - y. Does 9 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 127637.\nAnswer: 127637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -3*n**3 + 23*n**2 + 16*n - 66. Calculate v(8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l = -6*l + 3*y - 2, -y = -l + 2. Suppose h - l*h + 25 = 0. Is h a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1104, 1245, 1472, 1779, 2160, 2609, 3120, 3687?\n\"Answer: -n**3 + 49*n**2 + n + 1055","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 15672092?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 71746488?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**3 - 8*a**2 + 6*a + 9. Let u be w(7). Let p(o) = -2*o**2 + 0*o**u - o**2. Let v(l) = -6*l. Calculate p(v(i)).\nAnswer: -108*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s - 3. Suppose -8*d = -10*d - 10. Calculate u(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 35270, 70549, 105828, 141107, 176386?\n\"Answer: 35279*d - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c + 8. Let p be l(-6). Suppose y + z - 9 = 0, 6 = -z - p*z. Is 101\/y - 6\/33 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -160*t**3 - 3*t**2 - 6*t + 3. Let o(i) = -3*i**3 + 2*i - 1. Give -2*b(s) - 6*o(s).\nAnswer: 338*s**3 + 6*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 699531 is divided by 100?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 27069 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 114 = -14*q + 36*w - 33*w, -2*w = -4*q - 28 for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/(-12))\/(((-4)\/(-16))\/(26\/13))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 3, s: 3}. What is prob of sequence sss?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c - 7. Suppose -18 = 7*m - 4. Let o(q) = -2. Calculate m*f(b) + 7*o(b).\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -11093 - 1?\nAnswer: -11094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 171\/673 at least 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3822, 7716, 11596, 15456, 19290, 23092?\nAnswer: 26856","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27051 divided by -1.\nAnswer: 27051","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**3 + 23*f**2 - 859*f + 17. Calculate x(20).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve m - 2*y + 25 = 0, 3*m + 0*y = -4*y + 229 - 204 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 128 is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 2 = 0, -l = -3*h + h - 139. Let u = -2 - -11. Let v be (-3 - u\/(-3)) + 13. Calculate the highest common factor of l and v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 958?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 658, 29 in decreasing order.\nAnswer: 658, 29, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3262 - (-22 - (5 + -16))?\nAnswer: 3, 1091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 - 2*y)*(-14*y**2 + 2*y - 2*y)*(1 - y - 1) + 3*y**4 - 4*y**2 - y**3 + 4*y**2 in the form f + x*y + u*y**3 + b*y**2 + v*y**4 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4, 0, 1315, -9 in descending order.\nAnswer: 1315, 5, 0, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.419 - -0.219. Let m = -30\/37 + 305\/148. Put 1, z, m in descending order.\nAnswer: m, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 296\/(-148)*(-48)\/(-4)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -32*d - 140. Let u be h(-5). Let r(y) = 5*y - 95. Let g be r(u). Solve -4*s - 2*f = -10, 5*s + g*f - 5 = 15 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-9)\/6*(-8)\/6. Let c be (-3)\/s*24\/(-18). Suppose -9 = -3*o, -3*v = -v - c*o - 10. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(98)*-4)**2 - (sqrt(98) + 1 + sqrt(98)))*3.\nAnswer: -42*sqrt(2) + 4701","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((2*sqrt(95))\/sqrt(5))**2 + 4*sqrt(19) + 5 + sqrt(19).\nAnswer: 5*sqrt(19) + 86","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 188 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the first derivative of m**2\/2 + 6*m - 4. Let o be r(5). Let n = o + -8. Which is the nearest to -2\/3? (a) -0.1 (b) n (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2005114 and 1?\nAnswer: -0.2005114","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10*-39.7.\nAnswer: -397","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 45344 (base 9) in base 11?\nAnswer: 2073a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 4*o = -30, 5*o - 2 = -v - 22. Let j(g) = -g**2 + g - 3. What is j(v)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -2*v + 270, 31 - 101 = -i - v. What is the highest common factor of i and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**3 - 3*v**2 + 16*v - 16. Let l be c(2). Which is smaller: 65 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 62862*d - 110396.\nAnswer: 62862","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**3\/5 + 2008*s**2 + 12570026*s\/5 - 75782028\/5.\nAnswer: 2*(s - 6)*(s + 2513)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8.65 + -8.65. What is the closest to 2\/5 in f, 0.6, -0.3?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*k**4 - 34*k**2 + 3*k**4 - 2*k**3 + 32*k**2 - 3*k - 6*k in the form m*k + a*k**4 + p*k**2 + f*k**3 + r and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 252?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*t + 4*t = 5978. Let z be 4\/(t\/70 + -6). What is the greatest common factor of z and 160?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 781129926 to the nearest integer?\nAnswer: 921","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4 and -48*(-4)\/(-6)*(-2 - -1)?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(833) + 0 + -3.\nAnswer: -1 + 7*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(1\/4)\/t*t**(7\/4)\/t*t)**(2\/61)\/((t**(-2))**35\/(t*t*t**(-2\/17)*(t**(1\/6)\/t)\/t*t)) assuming t is positive.\nAnswer: t**(442271\/6222)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 906.86 + -907. Let k = 22.1 + 4.9. Let s = k + -24. Which is the closest to q? (a) 1\/7 (b) s (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**3 + 10*q**2 + 32*q + 32. Let b be s(-4). Put -2, b, -4, 1, 68 in descending order.\nAnswer: 68, 1, b, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -150, -250, -308, -330, -322, -290, -240?\n\"Answer: -r**3 + 27*r**2 - 174*r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7283990 and 2380?\nAnswer: 1190","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, g: 1, p: 2}. Give prob of picking 1 g and 1 p.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.869 - 5.869. What is the biggest value in -0.2, 0.5, 5, i?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1325 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 + 52 = 4*u. Suppose u*b - 2 = 0, f - 6*f + 78 = -2*b. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 109*a - 391 = -64. Solve d + 2*f = 4, a*d - 3*f = 21 - 54 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -1. Let i(c) = -c + 5. Suppose -o - 4*u = -11, o - u = -0*o - 4. Let y(j) = o*i(j) - 5*m(j). What is y(-6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35029 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the third derivative of 0*i - 1\/20*i**6 - 1\/2*i**3 + 0 + 1\/4*i**4 - 4*i**2 + 0*i**5 + 1\/70*i**7. Factor p(v).\nAnswer: 3*(v - 1)**3*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3780979882 rounded to the nearest 1000000?\nAnswer: 3781000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8.2 * 5.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 9) to base 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = -2*g - 2*y, -4*g + 3315 = -4*y + 3367 for g.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) -10.41 (c) 2\/43 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the first derivative of s**4\/18 - 4*s**3\/9 + 5*s**2\/9 + 8*s\/3 - 26. Factor o(w).\nAnswer: 2*(w - 4)*(w - 3)*(w + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -38 + 40. Factor 644 - 648 - p*o + 2*o**2 + 0*o + 0*o**2.\nAnswer: 2*(o - 2)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 124 = -h - b, -3*h - h + b - 496 = 0. Let d = -105 - h. Put -2\/15, d, -1 in decreasing order.\nAnswer: d, -2\/15, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79 is divided by 40.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -65 (base 13) to base 12.\nAnswer: -6b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*v + 0*v - 8*v - 4*v.\nAnswer: -7*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*w + 2357 + 427 = -11*w for w.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 - (-2)\/3) + (-1939)\/(-21). Suppose 5*r - 2 - 12 = -2*o, 5*r = -4*o + 8. Suppose -2*k = -r*k + f. Does 14 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -17340 - -225422\/13. Let s = -1 + 1. Which is the fourth smallest value? (a) -5 (b) -4 (c) i (d) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:55 AM and 3:14 AM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 30.25 * 0.8\nAnswer: 24.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 42 + -37. Let s = 198 + -196. What is the nearest to f in 2\/5, -0.1, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = p - 2*p. What is the remainder when 91 is divided by p?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the third derivative of -f**8\/1680 - f**7\/420 + f**5\/60 + f**4\/24 - f**3 + 17*f**2. Let l(s) be the first derivative of o(s). Solve l(q) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 1 o when three letters picked without replacement from tcacococoooaaoaomac?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5099 - -16057. What are the prime factors of h?\nAnswer: 2, 5479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2874 and 1916.\nAnswer: 5748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1620 and 13273605?\nAnswer: 159283260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 10647?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54857*j = -54860*j - 15 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x + 86 - 86)*(8 - 16 - 9) + 2 - x - 3 - 3*x.\nAnswer: 13*x - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2851 is divided by 257?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -10391504*z. Let h(n) = 2*n**2. Determine h(a(c)).\nAnswer: 215966710764032*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Work out -71073.44131441 + 2.\nAnswer: -71071.44131441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -83 + 156. Let k = v - 68. Suppose -k*d - 5 = -3*n, -5*n + 2*n - 19 = d. Which is the third smallest value? (a) d (b) 0.6 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1614 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 60 = 3*i, 2*o - 9 - 15 = -4*i. Differentiate -8*w + 43*w - 77 + o - 4*w with respect to w.\nAnswer: 31","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000170387811 rounded to 7 decimal places?\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -13003*f. Let t(x) = -69750222*x - x**2 + 69750222*x. Calculate t(n(s)).\nAnswer: -169078009*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18 and -15*((-35)\/(-15) - 3)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**3 + 8*d**2 + 9*d - 1. Let o be h(-7). Let q = 57 + o. List the prime factors of q.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*t - 119*t - 8073 = 216*t for t.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 + -4 + 2 + 5. Let o be 20\/(-25) - 1\/x. Let p = o - -10. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -10*j - 1260. Calculate h(49).\nAnswer: -1750","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f + 5 = -4*z + 4 - 18 - 1, -f + 3 = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02651433 rounded to four dps?\nAnswer: 0.0265","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 168*b**2 + 3*b - 3*b - 89*b**2.\nAnswer: 79*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**3 + 6. Suppose 7*s = 4*s. Let j be y(s). Factor j*b**3 - 2*b**3 - b**2 - 2*b**3 - b**4.\nAnswer: -b**2*(b - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1, -25, -55, -89?\nAnswer: -127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-15)\/5 + 6 + 0. Suppose -29 = -4*z - y*l, -4*z + 1 + 22 = l. What is the smallest common multiple of z and 9?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1334574 (base 10) in base 15?\nAnswer: 1b5669","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12 - 3) + (-10 - 3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is bcb (base 16) in base 7?\nAnswer: 11542","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 19.115 - 19. Let c = 343 - 353.815. Let x = j + c. Round x to 0 decimal places.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (8\/14)\/(20\/1890). Calculate the greatest common divisor of l and 24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3 + -4 + 3)\/(-5). Let w = -4.2 + 5.2. Let z = 0.1 + 0.1. Sort z, w, b in descending order.\nAnswer: w, z, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -1\/7, -0.4, 515, -0.04, -4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 769869383 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 8*y**3 + 4*y**2 + 7*y + 6. Let u be k(-1). Let d(i) = i + 1. Let m(f) = 24*f - 5. What is u*d(t) - m(t)?\nAnswer: -29*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*r + 78 = -26*s, 33287 = -4*s - 4*r + 33271 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 3*j + 105. Let w be 57060001\/(-6) + j\/(-168). What is w rounded to the nearest 1000000?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-95)*86 - 272\/(-2584)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58 is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 2*z**3 - 3*z - z + 5*z - 4*z**4 + 2*z**4 + 5 - 134*z**2 in the form b + d*z**3 + s*z**2 + y*z**4 + o*z and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 110 = -2. Let j = -40036 + 40084. What is the remainder when j is divided by s?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -7*n - 4*n + 0*n. Let b be a(-4). Let l be b\/12 + 2\/6. Let k(j) = j**2 - 4*j - 1. Give k(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 divided by 109.\nAnswer: 12\/109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**2 - 2*g - 1 - 5*g + 8. Let u(s) = s**3 + 4*s**2 + 5. Let m be u(-4). Calculate i(m).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the third derivative of 13*h**7\/15 + h**6\/30 + 151*h**5\/6 - 873*h**2 + 1. What is the third derivative of t(l) wrt l?\nAnswer: 4368*l + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**2 + 5*g - 11. Let t be k(-6). Let z be (1 - t)*(-2)\/(-28). Let v = -143\/45 - -25\/9. Which is the nearest to 0? (a) v (b) z (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2807*k**2\/2 + 435079*k\/2 - 465 = 0.\nAnswer: -155, 6\/2807","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 168 and 126.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24)*-1*-5)\/(5*sqrt(192)).\nAnswer: sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2 - (-12)\/7)*(-196)\/42. Let f = -2.9 + 0.9. Put g, 0.24, f in descending order.\nAnswer: g, 0.24, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x + 0*x - 2*x)*(-2*x**2 - 3*x + 3*x) + (391 - 391 + 45*x**2)*(4*x + 43*x + 11*x).\nAnswer: 2614*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7446577, 14893158, 22339739?\nAnswer: 29786320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 50 - 163. Let z = d - -112.41. Round z to one dp.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3 - 2*((-3)\/(-6) + 2). Let j = 6 + -7. Is z at least j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -797867.74 - 273544\nAnswer: -1071411.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000414 rounded to seven dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 take away 6025585591?\nAnswer: -6025585591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -4 + 6 + 8*m - 4. Let i be b(6). Suppose -3*x + i = 4*y, -y - y = -4*x + 54. Is x a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-176)\/(-220))\/((132\/(-10))\/3).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -151373*j. Let r(m) = -562*m. Give v(r(x)).\nAnswer: 85071626*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.88 + -1.42. Let h = -0.58 - z. Let k = 6.6 + -1.6. Put k, 0.1, h in decreasing order.\nAnswer: k, 0.1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 25669764 and -8.\nAnswer: 25669756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -155 - -101. Let m = t + 54. Suppose m*h - 2*i = 2*h - 15998, -2*i - 24002 = -3*h. What is h rounded to the nearest one thousand?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2414 + a?\nAnswer: -2406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 18061 = 3*s, -3*s - 19*b + 22*b + 18057 = 0. Calculate the greatest common divisor of s and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 2*z**3 + 2135*z**2 + 22185*z - 12689. Give m(-1057).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 6*a - 30. Suppose 4*x = -9 + 61. Let g be j(x). Suppose 33 = z - 4*b, -2*z = -6*z - 5*b + g. Calculate the remainder when 62 is divided by z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c = -5*z + 37, 0 = -93*z + 97*z + 2*c - 26 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2356*d**2 - d**3 + 1328*d + 1276*d + 1442*d**2 + 2467*d**2 wrt d.\nAnswer: -6*d + 3106","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -2*m**2 + 1777*m - 48174. What is i(28)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6 - -2 - (-2)\/(-1). Let a be 16 - (8 + -2)*2\/r. What is the first derivative of d**2 - a*d**3 - 22 - d**2 + 3 wrt d?\nAnswer: -42*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6983 divided by -873.\nAnswer: -6983\/873","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*v**3 + 6*v - 25 - 4*v + 40 as a*v + k*v**2 + i*v**3 + n and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.03*27079\nAnswer: 812.37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4*14\/(-98))\/(4\/14).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*q + 0*q - 11*q)*(2 - 4 + 0) + 2*q - 6*q + 2*q + (-2*q + 2*q - q)*(0 + 3 - 2) - q - 4*q + 0*q.\nAnswer: 4*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 6608 divided by -5\nAnswer: -6608\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - -7) + (-16 - -13) + 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(153) - (0 + 3*sqrt(153)))*-1)*-5.\nAnswer: -30*sqrt(17) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 - -2. Let i be -1 + (t\/8)\/(-1). Let g = 0.04737 - 0.14737. Are i and g non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 168494?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**3\/(k\/k**(-1\/8)*k)*(k*k**0\/k)**(-15) assuming k is positive.\nAnswer: k**(7\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -726\/7 - -104. Factor 4\/7*o**2 - y*o - 2\/7.\nAnswer: 2*(o - 1)*(2*o + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 436.\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*v + v - 5*l - 10, -8 = 5*v + 4*l for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 421022 (base 5) to base 14\nAnswer: 50bd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**3 - 2*d**2 + 1. Let k be h(-1). Let i = 135 - 133. Solve -2*q = -2*t + i, -3*q + k*t = t + 19 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 + 6. What is the second derivative of 4*k**3 + 2*k - g*k + 5*k - k wrt k?\nAnswer: 24*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/(-4)*(-1)\/((-42)\/6)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes before 5:16 PM?\nAnswer: 11:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 18 + (-1)\/((-4)\/5 + 1) + -4. Let j = 200 - 119. What is the highest common factor of b and j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z - 6. Suppose -b + 5 + 2 = 0. Let p be d(b). Solve -u = p - 5 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.08 - 0.28. Let m = 0.202 - -1.798. Sort a, -4\/3, 0, m in increasing order.\nAnswer: -4\/3, a, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -2*c**2 - 2774*c + 25130. What is v(9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -189013 and 2.\nAnswer: -378026","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -4*i + 2. Suppose 0*h = 3*h - i*y - 22, 5*y = -20. Solve 4*s + 6 = h*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9 + 5. Let z be 7\/(35\/50) - 3 - -2. Let p(r) = 11*r**2 - 13*r. Let d(j) = 5*j**2 - 6*j. Calculate s*p(c) + z*d(c).\nAnswer: c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3098 is divided by 1032.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 268806527.\nAnswer: 11, 24436957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*u = 25*u - 392 for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -193*a**2*m**3 - 10*a*m**3 - 3706*m**3 wrt a.\nAnswer: -386*a*m**3 - 10*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 53169 to the nearest integer?\nAnswer: 231","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*s - 2*i - 55, 26*s - 152 = 8*s - 3*i + 2*i - i for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 + 4. Let h(l) = l**2 + 1. Let r(x) = -5*x**2 + x - 7. Let v(m) = 6*h(m) + r(m). What are the prime factors of v(y)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 2*r**2 - r - 2. Let y be t(2). Let u(s) = -s**3 + 250*s**2 + 1800*s + 24. Let f be u(-7). Let i = -8 + 9. Solve i = y*k + f for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3894843071?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 3\/25 of a kilometer?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 23930 to the power of 1\/2, to the nearest integer?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -10 (b) 0 (c) -0.3 (d) 7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 + 5)\/(4\/20)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -43361616 and 2.\nAnswer: -86723232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20997 is divided by 28?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3018 - -3019. Let p(k) = -2*k + 82*k**2 + 2 + 2*k. Does 14 divide p(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 681182051?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/5? (a) -1\/409 (b) 0.1 (c) -0.3 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the second derivative of 0 + 7\/2*w**2 - 5\/12*w**4 + 1\/20*w**5 + w + 0*w**3. What is the units digit of h(5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 2506, 5012, 7518, 10024, 12530, 15036?\n\"Answer: 2506*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 120164821 and 6181.\nAnswer: 6181","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 0 = -h. Solve 5 = h*t - 4 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1208?\nAnswer: 2, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 92 and 828.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 41?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 6 = j - 3*j, -x + 31 = -3*j. Let v(t) = 4*t + 54. What are the prime factors of v(j)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 762?\nAnswer: 2, 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) + 0 + 5)**2 - (sqrt(44)\/sqrt(4) + 4).\nAnswer: 9*sqrt(11) + 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -155777, -311661, -467547, -623435, -779325, -935217?\n\"Answer: -p**2 - 155881*p + 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l - l + 6, 0 = 4*v + l + 2. Let k = 142 - -5. Calculate the remainder when k is divided by (v - (-130)\/5)*1.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1391, -4, -29 in decreasing order.\nAnswer: 1391, -4, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.02 - -0.08. Let n = g + 4.94. Let w = -1 + 5. Which is the closest to 2\/7? (a) n (b) 0.4 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -m**3 - 5496*m**2 - 4280709*m + 9814599586 = 0. Calculate m.\nAnswer: -3221, 946","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3870 - 39*d - 3543 + 7413.\nAnswer: -39*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 68030269 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 606999 to the nearest integer?\nAnswer: 779","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve m**5\/4 - 15*m**4\/4 - 217*m**3\/4 + 1455*m**2\/4 + 2529*m - 2835 = 0.\nAnswer: -10, -6, 1, 9, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**3 + 2*l**2 + l + 4. Let x be v(3). Let c = x + 10. Suppose 0 = -w + 1 + c. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -25*f + 106 - 106 to x*f + r and give x.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4355 - -82.7.\nAnswer: -4272.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 2*k + 4, 8*l - k = 6*l. What is the closest to 0.01 in 3\/2, -2\/11, l?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 338*j - 26 - 1335*j + 330*j + 339*j + 330*j.\nAnswer: 2*j - 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 22.11 + -22. Let v = 880 + -875.11. Let o = h + v. Which is the third smallest value? (a) -1\/7 (b) 1\/7 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1074 by 6.\nAnswer: 179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 3*o - 13. Let v(h) = -75*h**2 + 4*h + 3. Let r(u) = 122*u**2 - 7*u - 6. Let m(q) = -8*r(q) - 13*v(q). Give m(o).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a kilogram in grams?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 148 is divided by 11?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 + 3. Suppose 7 = u*v + i, 4*v = v + 2*i. Suppose -v*b + 4 = -4. Put 0, b, 1 in decreasing order.\nAnswer: b, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.08437 * -0.9\nAnswer: -0.075933","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(192)*3)**2 - sqrt(192)) + -3.\nAnswer: 40*sqrt(3) + 1726","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**2\/3 + 772*y\/3 - 24070\/3.\nAnswer: 2*(y - 29)*(y + 415)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**2\/4 - 7*w\/4 - 1647\/2.\nAnswer: (w - 61)*(w + 54)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1868+0.03452486\nAnswer: -1867.96547514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.11*-919737.\nAnswer: -101171.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 533 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -19 - -17.07. Let v = -0.23 - p. Let a = v + -3.7. Sort a, -0.5, -0.2 in increasing order.\nAnswer: a, -0.5, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**2 - 8*m - 6. Let o be i(9). Find the common denominator of (243\/10)\/(o*(10 - 11)) and (-2)\/5 - 271\/(-40).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + (-33 - (-8 + (-5 - -9))).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-171)\/114)\/(2\/((-912)\/(-18)))?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 8 = -5*v - 4*z, 5*v - 2*z = 15. Is (v + 0)*(31 + 5) a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14 + -2. Let h = 55 - 219\/4. Is h < y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 9*(1 + 2\/(-3)). Suppose -r*n + 0*n = 5*f - 29, -n = -3*f + 9. Determine a so that a**3 + 4*a - 6*a + 4*a**2 - 3*a**n = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 260814877 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -11.6 and 848376.1.\nAnswer: -9841162.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 404 and 5193218.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 971, 930, 853, 734, 567, 346, 65?\nAnswer: -282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the first derivative of z**2 + 14*z - 171. Calculate w(-9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6435*p**2*x**4 - 5*p**2*x**2 - 2*p**2*x + 7*p**2 + 31*p*x**2 + 2128*x**4 - 3*x**2 - 411*x wrt x.\nAnswer: -154440*p**2*x + 51072*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 163014?\nAnswer: 2, 3, 101, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 2*a = -0*a + 603, 5*a = 3*c - 624. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 116 - 114. Suppose -7*z + a*z = 3*n - 6, -4*z = -2*n + 4. Solve n*w - 9 = -5 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes after 6:03 AM?\nAnswer: 11:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**2 - 6*x + 2. Let p be s(6). Suppose 0 = -5*l - 3*q + 2*q + 74, 0 = -2*l - 4*q + 44. List the prime factors of (2 - p - l)\/(-1).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most as big as -0.03?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -29306, -29317, -29328, -29339, -29350, -29361?\nAnswer: -29372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*x + 2*x = -13. What is the fourth smallest value in -2, 1, 0.21, x?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12*i**5*y**2 + 52*i**3 + 7*i*y + y**2 - 1 wrt i?\nAnswer: 240*i**3*y**2 + 312*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (6 - 245\/20)\/((-2)\/72). Are 225 and x non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**2 + 3*u + 2. Let y be o(3). Let b(c) be the third derivative of -7\/24*c**4 + 0*c - y*c**2 - 1\/2*c**3 + 0 - 1\/60*c**5. Give b(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.47 + -2.5. Let s = -0.53 - x. Which is the third biggest value? (a) 0.2 (b) s (c) 1\/2 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16135, 58, 227, -5 in ascending order.\nAnswer: -5, 58, 227, 16135","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000001242461 rounded to 7 decimal places?\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -8 + (6 - 3 - -11). Solve -2*t - t - p = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 1086 = -6*s - d, 4*d = -s + 264. Suppose -266*b = -s*b + 7422. What are the prime factors of b?\nAnswer: 1237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9267215 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What is 620559874 to the power of 1\/4, to the nearest integer?\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.7 and 21.\nAnswer: -14.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 266667 and 5974?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6 - -7) + (-1 - -4). Suppose -2*g = g + 4*x - 142, n*x = -2*g + 92. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*b + 7*b + 18 = 0. Suppose 2*h = 3*h - b. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7031 - -3129. Let f = -46867\/12 - w. Calculate the common denominator of -31\/14 and f.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 438499 to the nearest integer?\nAnswer: 662","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1\/3, 1\/8, -0.1, -0.0271648, -17?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 14 + 4 = 0, 2*k + 13 = 3*h. Let n = 38\/3 + k. Is 0 greater than or equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/12)\/(954\/7155)\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-112)\/(-140) - (-62)\/10. Solve -k = -s*k + k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6404 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.35? (a) 2 (b) 1 (c) -1 (d) -2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -44.2673 (b) 1 (c) 0.5 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38498?\nAnswer: 2, 19249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -2*a - 2*d - 13, -a - 4*d - 19 = 0. Let k be 28 - ((-2)\/a - 3\/3). Let y = 54 - k. Calculate the remainder when 35 is divided by y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + 0*g + 0*g - 2*g**4 + (0*g + 13*g - g)*(g**2 - g**2 + g**3).\nAnswer: 10*g**4 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 10559 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2478 in -5, 0.2, -1\/4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 165b00 (base 12) to base 2.\nAnswer: 1011101100111110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 + 6 - 13069*d + 6296*d + 4 + 6768*d.\nAnswer: -5*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-13)\/2 + 8)*(-4)\/3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -j**4 - 734*j**3 - 25671*j**2 + 82166*j - 55760 = 0.\nAnswer: -697, -40, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -76*a**6 - 556*a**2.\nAnswer: -9120*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2381.971 weeks to nanoseconds.\nAnswer: 1440616060800000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1631390.503 rounded to the nearest 10000?\nAnswer: -1630000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**3 + 23*t**2 - 82*t + 4. Suppose 8*k - 53 + 13 = 0. Calculate the remainder when o(k) is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-81)\/((-28)\/8 - -2).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2011 - 529 = 19*z for z.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -445, -454, -465, -478?\n\"Answer: -y**2 - 6*y - 438","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4008437813 to the nearest integer?\nAnswer: 63312","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b**3 - 1 + 1)*(-1 + 0 - 1) + 7*b**3 - 4*b + 4*b.\nAnswer: 3*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hmhdppdmm. Give prob of picking 2 p.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 5}. What is prob of sequence yy?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m + 2*m + 39 = -u, 0 = -u + 1. Let g = -26 - -46. Calculate the greatest common factor of g and m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1340200 or 1339855?\nAnswer: 1339855","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -3*q + 1. Let r be (q*2)\/((-4)\/(-8)). Suppose -63 = -r*y - 19. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 2\/315457?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -0.8 (b) 0.3 (c) -1\/8 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.5 (b) 1\/4 (c) -0.1229 (d) -127\/4 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 110938 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10665110?\nAnswer: 2, 5, 1066511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.132*-124\nAnswer: -16.368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 134, 1, 23, 58, -3\/4, -3 in ascending order.\nAnswer: -3, -2, -3\/4, 1, 23, 58, 134","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 15*w + 20*w = -1380, 0 = i - 2*w - 271. What is the remainder when i is divided by 126?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25168419083 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 91 is divided by 50.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -5*v**3 + 15*v**2 - 13*v - 20. Let y(w) = -2*w**3 + 7*w**2 - 6*w - 10. Let p(g) = -3*j(g) + 7*y(g). Let b be p(-4). Sort 0, 3, b in ascending order.\nAnswer: 0, b, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/7 (b) 28 (c) -80 (d) -0.0074\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qpaaaaapaaaapaaa. What is prob of sequence ppp?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 16540700 or 16540697?\nAnswer: 16540700","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the third derivative of 0 + 15*u**2 + 1\/63*u**7 + 0*u**3 + 0*u**4 + 1\/5*u**5 - 1\/1008*u**8 - 11\/120*u**6 - 2*u. Factor t(s).\nAnswer: -s**2*(s - 4)*(s - 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.228 * -31.07\nAnswer: -38.15396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 2 - (-10 + (2 - -4)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-2\/15)\/w**13)\/((w\/w**(3\/11))\/(w*w*w**(1\/19)\/w)))**0 assuming w is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 69\/14 and -9\/2191952.\nAnswer: 2191952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-33)\/(2 - 46\/20). Suppose -w + 1 - 3 = 0. Let a be w - -1*26\/2. Calculate the highest common divisor of q and a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1405110*l**4 + 36*l**2 + 87996?\nAnswer: 33722640*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16569?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -28, 3, -3 in decreasing order.\nAnswer: 3, -3, -9, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 31, 19\/46, 0.2, -5, 2\/5 in increasing order.\nAnswer: -5, 0.2, 2\/5, 19\/46, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 46*d**3*g**3 - d**3*k + 2*d**2*g**2*k + 2*d**2*g*k + 118*d*g**3*k + 23035*d*g**2*k + d*g*k - 16*g**3*k wrt g.\nAnswer: 276*d**3 + 708*d*k - 96*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -500*q - 3861*q = 1182*q - 227263 for q.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(-2)*(-6)\/15. What is the closest to k in -0.3, -3, -0.1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 8907774 to the nearest 10000.\nAnswer: 8910000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 22238832059 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 62442937 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hydbhaly. Give prob of sequence ld.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 93963, 187853, 281743, 375633, 469523, 563413?\nAnswer: 657303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:03 AM and 7:07 AM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 32342 to the power of 1\/2, to the nearest integer?\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes after 12:36 AM?\nAnswer: 2:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -2, 307 in increasing order.\nAnswer: -6, -2, 307","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 24*u**2 + 96*u + 4. Let b be k(-4). Suppose b*a = -l + 6*a + 541, 5*a + 526 = l. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4743, -4703, -4663, -4623, -4583?\nAnswer: -4543","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 18435.89 milligrams?\nAnswer: 18435890","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 574 + -255. What is the least common multiple of o and 29?\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 10, 35, 38, 7, -70, -205, -410, -697?\n\"Answer: -2*v**3 + v**2 + 36*v - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 2*n**2 + 11*n + 1. Let c be r(-5). Suppose 0*k = k - 8. Let t be (-3)\/c - (-10)\/k. Solve -t*v - 3*v = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82*j - 81*j - 64220 = -183*j. Is j a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i + 685020 = -16*y + 685049, -3*y = -i - 0*i - 5 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 350\/84*(-13)\/(-65)?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-37*h - 25 + 25)*(0*h - 2*h + 0*h + (3*h - 2*h + 0*h)*(3 + 0 - 2)) as n*h + p*h**2 + r and give p.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1359615 + -3730783603\/2744. Find the common denominator of -19\/392 and y.\nAnswer: 2744","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.06*-7557825\nAnswer: -453469.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 571 - 284. What is the tens digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 397 and 478193646.\nAnswer: 397","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1 times 0.079\nAnswer: -0.079","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = 366 - 86. Let n be ((-950)\/76 - 4\/(-8))*6. Which is smaller: n or b?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1538123*b**4 + 1321159?\nAnswer: 6152492*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*f - 3 + 3)*(2 + 2 - 2)*(f + 0 + 0)*(-9 + 0 - 1).\nAnswer: -100*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 5*w - 3*w + 630 = 0, -5*s + 2*w = 1066. Let d = 387 + s. List the prime factors of d.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes before 2:50 AM?\nAnswer: 4:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32 + 10*p**3 + 21 + 2*p**2 - 53.\nAnswer: 10*p**3 + 2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 + 1 - 14*g - 11 + 2 - 3.\nAnswer: -14*g - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 602, 1173, 1744, 2315?\nAnswer: 2886","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -502 - -507. What is the lowest common multiple of 40 and i?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-16)\/(-6))\/((-12)\/90*-5). Suppose 143 = o*c + 3*r, -1 = -r - 0. Let g = -2 + c. Calculate the greatest common divisor of 11 and g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*u**2 + 4*u**2 + 2*u**2.\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + 2*z + 16077 - 16084 = 0, 3*g - 4*z = -19 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-36)\/(68\/17)*1078\/2541.\nAnswer: -42\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 3 - 1 - 1829015*s + 235*s**3 + 1829015*s.\nAnswer: 235*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -0*z + 6. Let m(f) = f + 4*f**2 + 7*f**z - 11*f**2 - f**2 + 33. Is 11 a factor of m(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.27 - -0.232. What is l rounded to two decimal places?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:15 AM and 1:43 PM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6949 - 10.82.\nAnswer: -6959.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7.721 - -1.721. What is the third biggest value in 2\/2035, 1, -2\/3, i?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (3 - -2) + 84 + -109.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v - 23 = -3*d, -3*v - d - 9 = -4*d for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 35 + -21. Let n be (-2)\/(-4) + 553\/y. Suppose 4*a + 3*d - n = 0, 3*a - 20 = a - 3*d. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, o: 2}. What is prob of sequence oo?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/160 and 27\/50140?\nAnswer: 401120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**2 + 2296 - 1151 + 3*g - 1128 + 0*g. Give o(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -95\/462 and -127\/378?\nAnswer: 4158","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -10 - 9*j**2 + 11*j + j**2 - 3*j**2 - j**3 + 1. Let o = 10 + -6. What is the least common multiple of p(-12) and o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23\/6, -2\/7, 0.54, -4\/3.\nAnswer: -23\/6, -4\/3, -2\/7, 0.54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1051101?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**3 - w**2 - w - 15. Calculate m(0).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.8 + -24.1.\nAnswer: -24.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*k = 133, -16*o - 20*k = -5*k - 17*k - 54 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 - -2bb7?\nAnswer: 2bb2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*x**3 + 1171413 - 2342949 + 1171536 + 3*x**3.\nAnswer: 6*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 195247 and 169.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7556113*o**4 - 112*o**2 - o + 155 wrt o?\nAnswer: -181346712*o","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11*k**5 + 379*k**4 - 2*k**3 - 28644*k**2.\nAnswer: 660*k**2 + 9096*k - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 56*n**2 - 5 - 8*n + 44*n**2 + 63*n**2 - 163*n**2 + 3*n**3 to the form g*n + u + a*n**3 + s*n**2 and give u.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 86019?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes after 6:00 PM?\nAnswer: 1:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.027075 to 4 dps.\nAnswer: -0.0271","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -2*m. Let i(f) = -2*f**2 + 466*f - 3. Determine i(r(a)).\nAnswer: -8*a**2 - 932*a - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d - 0*d + 18. Let q be 3\/(-6)*-8 - 2. Let t = q + -10. Find the common denominator of t and d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 3 = 0, -d - 5*u - 1 = -2. Let l be (d\/(-4))\/((-9)\/(-12)). Is 5 + -1 + l + 8 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 44\/9 and 64\/1353.\nAnswer: 4059","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28659337?\nAnswer: 7, 29, 141179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/3 - 4)*96\/(-10). Let t = -21 + s. What is the remainder when 29 is divided by t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 2*x**2 + 9*x + 1. Let t(b) = -b**2 - 10*b - 1. Let v(y) = 2*m(y) + 3*t(y). Let f be v(12). Let q be f\/(-1) - (-1 - 1). Solve -4*r + 1 + q = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9 - 5. Suppose 0 = -3*r + s*r - 63. Suppose -4*d + 9 + 87 = 3*b, 2*d = 2*b - 64. What is the remainder when r is divided by b?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 690 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u + 10*u = 36. Let i = 5 + 0. Calculate the least common multiple of u and i.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -46.8 times 50.4\nAnswer: -2358.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 98 + -90. List the prime factors of (228\/15)\/(z\/100).\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 587327594?\nAnswer: 2, 7, 17, 2467763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -2*w + 25. Let y be c(8). Let x(n) = 557*n**2 - 18*n + 45. Let f be x(y). What is f rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the third derivative of -515*h**6\/24 + 2555*h**3\/6 - 3*h**2 - 17*h + 17. What is the first derivative of a(l) wrt l?\nAnswer: -7725*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(1620))\/sqrt(9).\nAnswer: -18*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*n + 56 + 214*n - 177*n + 35.\nAnswer: -5*n + 91","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 8 - (-2 + 504\/315*5\/1). Which is the nearest to -1? (a) m (b) -8\/11 (c) 1\/7 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the first derivative of 0*r - 111 - 205\/3*r**3 + 3\/4*r**4 + 0*r**2 + 0*r**5 + 4\/3*r**6. Find the third derivative of j(n) wrt n.\nAnswer: 480*n**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r**5 - r**5 + 3*r**5)*(1597 + 1792 - 3207).\nAnswer: 364*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -d**2 - 117*d + 117*d + 6*d**2.\nAnswer: 5*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -42, 425 in increasing order.\nAnswer: -42, -2, 425","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 525856 is divided by 28?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the second derivative of r**4\/3 + 708*r**3 + 563922*r**2 - 2*r + 4049. Factor n(a).\nAnswer: 4*(a + 531)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2193376 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: Evaluate 13 + -22 + 17 + 0.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2698, 5559, 8578, 11755?\nAnswer: 15090","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 5*n - 1112 = -4*l, -549 = -2*l + 5*n. Let a = 191 - l. Let g = 56 - a. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 246096 is divided by 49213.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*5 + 5\/((-30)\/(-36))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-24)\/10*(-81 + 1). Suppose 2*z = 3*v + 51, -z = -0*z + v - 23. What is the greatest common divisor of o and z?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 15 = 2. Let i(c) = 6*c + 8. Let a(n) = -n + 2. Let t be a(-5). Calculate the remainder when i(t) is divided by k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 330 + -661\/2. Which is the nearest to -1? (a) w (b) 0 (c) -1\/4 (d) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1904)\/(-85)*36\/(-27)*(-315)\/112?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4256390672.\nAnswer: 2, 23, 11566279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**3 + f**2 + 2*f - 8. Let q be x(2). Is q*(-1)\/2 - (0 + -7059) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -21 + 30 + -8 + -12.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1785106 to two dps.\nAnswer: -0.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3751347 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(182)\/sqrt(112))\/sqrt(2592).\nAnswer: sqrt(13)\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -4*c. Let u be o(-1). Suppose 0 = -3*l - 3*d + 150, 6*l = 5*l - u*d + 38. Calculate the highest common divisor of 18 and l.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x - 2*k - 2 = 0, -3*x - 4*k + 4 + 10 = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 2*k - 27, -i + 13 - 4 = -4*k. Let v = -2 + i. Suppose 0 = v*d - 12367 - 2004. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**3 + 18*f**2 - 96*f + 104.\nAnswer: 2*(f - 2)**2*(f + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2 - 1)*-2 - -1. Let i be 18\/8 - j\/(-4). Let a be -2 - -28 - i\/1. Solve -5*t - 37 = 4*h, 6*h + a = 3*h - 3*t for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yy when two letters picked without replacement from {y: 18, v: 1}?\nAnswer: 17\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 89\/2 of a milligram?\nAnswer: 44500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 30682.722 to the nearest ten.\nAnswer: 30680","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 - (2 + -1 + 54 + -54 + 4).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (8\/64*4)\/((-2)\/(-4)). Which is the fourth smallest value? (a) o (b) -1.3 (c) 4 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3464 to the power of 1\/2, to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of (-11518)\/(-8) + (-1)\/(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/3942 and -38\/27.\nAnswer: 3942","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1620*h - 1625*h - 3 = 4*b, 21 = 4*b - 3*h for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**2 + 8*a + 13. Calculate the remainder when v(-8) is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -184276, -184281, -184286, -184291, -184296, -184301?\nAnswer: -184306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(126)\/(1*sqrt(6)))\/(sqrt(28)\/(sqrt(4)*-2 - sqrt(4))).\nAnswer: -3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from {o: 2, r: 8, v: 2}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4809 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: Round 0.0000551189 to 7 dps.\nAnswer: 0.0000551","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**3 + 8*o**2 + 11*o - 6. Let t be k(-6). Solve t*w + 10 = -2*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (35 - 59 - 18)*(-u + 2*u - 3*u) - 25*u + 37 - 19 + 13*u to w + j*u and give j.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - 4*f + 1 + (15*f - 58*f - 6*f)*(2 - 3 + 2)*(0 + 43 + 41).\nAnswer: -4120*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-658)\/(-4) + 4\/(-8). Suppose -2 = 2*v, 4*v + c = 2*j - 6*j. What is the units digit of -1 - (-8)\/(j\/(-675))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, e: 5, p: 9}. What is prob of sequence pi?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -3424 and -5129897741?\nAnswer: 5129894317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -425 (b) -2\/15 (c) 13 (d) -3 (e) 2\/21\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -326, 1, 3, -10.\nAnswer: -326, -10, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 24 = -4*l + l, 0 = 4*l - 2*a - 34. Let r(y) = 2*y + 1137 - 1156 - l*y. Let z be r(-3). Is 0.04 < z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -4*l + c, 0*l - 5*c + 2 = -2*l. Suppose -10*r = -l - 21. Solve -1 = r*w + 8 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 4*n + 57. Suppose -10 = 5*c - 7*c. Let q be (n\/c)\/((-15)\/50). Solve 2*u + 5*p + q = 5*u, 32 = -4*u - 4*p for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20196496\/12*(-9)\/(-20) + 4\/10 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -36 - -6?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*f - 56 = -7*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -187\/4368 and -71\/756.\nAnswer: 39312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -5151000 to the nearest 1000000.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = -u. Suppose 0 = -5*p - 2*f + 27, 0*f - 3*f + 3 = u. Suppose -y - 9 = p*n, n - 5*n - 30 = -3*y. Solve y = l + l - 5*o, -5*o - 12 = l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -27354051 or -27354052?\nAnswer: -27354051","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a gram in milligrams?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 274502 times -2?\nAnswer: -549004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -134 - -198. Let c be 0\/(8*(-4)\/(-32)). Suppose 19*s - 3*s - 128 = c. Calculate the highest common factor of s and k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15198, -15194, -15180, -15150, -15098, -15018, -14904?\nAnswer: -14750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -455, -909, -1363, -1817?\nAnswer: -2271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -14*k + 4*k + 4*k + 0*k + k**3 - 1 + 4*k**2. Give i(-4).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -12515 - 12520220?\nAnswer: -12533135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16842*r - 16845*r = -5796. Does 92 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 - 26. Let b = 48 + c. What is the lowest common multiple of b and 18?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4372103?\nAnswer: 401, 10903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -22 + 22 + 141*k + (-2*k - 3*k + 4*k)*(1 - 3 - 3).\nAnswer: 146*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -15*u + 14. Let t be n(12). Let q = 65 - t. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -65\/154 and 52\/5?\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u - 4. Let q be v(-6). Suppose -5*t - j + 856 = 0, -q*t + 5*j + 258 = -106. Suppose 2*z + 88 = -t. Round z to the nearest ten.\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*b**2 - 3750 + 3750.\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -31\/2156 equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -30*i**2 + 5*i - 5. Let c be y(1). Let n = 42 + c. Calculate the smallest common multiple of 44 and n.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*u**3 - 670*u**2 - 9945*u.\nAnswer: -5*u*(u + 17)*(u + 117)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**17\/y**(-2\/11))**(-40) assuming y is positive.\nAnswer: y**(-7560\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d. Let l(b) = -4*b**2 + 5*b + 1. Let h(g) = 4*i(g) + l(g). Let o be h(-1). What is the common denominator of 5\/3 and (2\/66)\/(o\/(-228))?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of u**3 + 1756*u**2 + 222*u + 1 wrt u?\nAnswer: 6*u + 3512","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t + 37. Give h(-26).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 918*l - 79*l - 17619 = 0 for l.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1929911\/10 or 192991?\nAnswer: 1929911\/10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes before 11:32 PM?\nAnswer: 1:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -1504854 to the nearest 100000.\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4732 and 156.\nAnswer: 14196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 613 is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1564, 3042, 4534, 6046, 7584, 9154?\n\"Answer: n**3 + n**2 + 1468*n + 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 78*d + 858. What are the prime factors of g(69)?\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a + 4 = 0, 0*x - 2*a = -5*x - 14 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 4 - 4 - (24 - 25)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 2 - 15 = -5*w, -4*w = -3*s - 8. Let q(x) = -x**3 + 6*x**2 + 7*x - 7. Is q(w) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.06918 or -2\/23?\nAnswer: -0.06918","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.12 - -2.88. Let u = 5 - m. Let z = 1 - 3. Sort z, u, 0.5.\nAnswer: z, 0.5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**3 + 80*u**2 + 157*u + 353. Let l be y(-78). What is the greatest common factor of 1375 and l?\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 77*j - 148*j + 71*j - 80016*j**2.\nAnswer: -80016*j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - f = -2*f - 583, 2*i = f + 388. Let w = i + -190. Solve 2*b + 7 = w for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 313, 303, 287, 265?\nAnswer: 237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 4*v - 66 = 0. Suppose 1340 = 4*o - 2*k, -5*o + 9*k = v*k - 1693. List the prime factors of o.\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 4 = 1. Suppose 2 = u - 1. Suppose 5*l + u*h + 28 = 6*h, a*l + 5*h + 20 = 0. Let i(t) = t + 3. Determine i(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/29120 and -71\/87360.\nAnswer: 87360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.6980874 to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 97 divided by 13.\nAnswer: 97\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 2 - 2 = 0, -5*p - a = -51. Suppose -11 = p*t + t. Let u be (100\/(-5))\/5*t. Solve -f = -6*f + 3*z + 23, 5*f = -u*z + 16 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 54*r**2*v - 234*r**2 + 5*r*v - 4*v + 14 with respect to v.\nAnswer: 54*r**2 + 5*r - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -377, -752, -1129, -1508, -1889?\nAnswer: -2272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7*a + 3*a + 2*a)*(65 - 28 - 77) to z + b*a and give b.\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*w - 37*p + 42*p - 45, p + 142 = -78*w - p - 0*p for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1221*o - 617*o + 9458*o**2 - 604*o + 1334 wrt o.\nAnswer: 18916*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/(-6))\/(75\/350).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 21*(-20)\/50*(3 - (-23)\/(-6))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42*14 - -1 - (-2)\/(-1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 783135589 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + (-5 - 5) + 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 9*c**4 - 7. Let j(z) = -48*z**4 + 65*z**4 + 134*z**4 - 119 + 3*z**4. Let v(h) = -2*j(h) + 35*t(h). Differentiate v(l) wrt l.\nAnswer: 28*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (196\/(-686))\/(6\/14).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -478268, -955522, -1432776?\nAnswer: -1910030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:51 AM and 4:03 PM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62*u**2 - 32*u - 391*u**2 + 311*u**2 + 32*u.\nAnswer: -18*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/65 or -0.0313?\nAnswer: -0.0313","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 314779, 1258889, 2832325, 5035087, 7867175?\n\"Answer: 314663*p**2 + 121*p - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 16*j**3 + 2*j**2 - 3*j - 2. Let o be y(-2). Let k = 223 + o. Does 11 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 16*q**3 + 2*q**2 - 3*q + 1. Let d = -12 - -16. What is the remainder when i(1) is divided by d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 15*t + 2. Let l(r) = 7*r + 1. Let u be 19610\/259 - 4\/(-14). Suppose -u*p + 13 = -75*p. Calculate p*l(h) - 6*b(h).\nAnswer: h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 3*x**2 - 20*x - 15. What is the remainder when 1018 is divided by i(11)?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -149*n - 438. Give g(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (3 + (2 - 4))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 396596*p + 8657 = 396369*p + 37486 for p.\nAnswer: 127","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/7*((-2)\/2)\/(-6)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-11 - -6)*(2 - 4). Let a = z - 15. Let f(d) = -d**3 - 5*d**2 + 7. What is f(a)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 127\/852 and 41\/568?\nAnswer: 1704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 6b (base 16) in base 13?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17834279.\nAnswer: 17834279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20033*b - 28514 - 6186 - 20025*b.\nAnswer: 8*b - 34700","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5\/10*-10 - -1. Let s be 6*(44\/6 + i). Solve -5*p = -0*p - s for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrrrrvrrrrr. What is prob of sequence rvr?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*((sqrt(162) + (sqrt(162) - 2*sqrt(162)) - sqrt(162)) + -2)*2 + (sqrt(162) + -1 - sqrt(162))*4*-1 + -3)**2.\nAnswer: 1188*sqrt(2) + 5953","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**3 - 14*i**2 + 68*i - 140. Calculate a(7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the third derivative of t**4\/6 - t**3\/3 - 115*t**2. Let j(f) = f + 1. Let n(v) = -12*v + 2. Let l(x) = 3*j(x) + n(x). What is -3*l(h) - 7*y(h)?\nAnswer: -h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j = -15*x - 0*j - 15 + 104, 5*j + 205 = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence im when two letters picked without replacement from {w: 1, p: 3, m: 1, i: 1, a: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((2 - 0)\/24)\/(1\/(-4))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add 1504824735850 and -0.4.\nAnswer: 1504824735849.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (32\/20)\/(1\/(-5)). Let b = h - -13. Suppose 0 = -b*p, 3*a + 2 = 4*p + 8. Does 2 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 713492299?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3640 and 40.\nAnswer: 3640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 991?\nAnswer: 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 538380638 to the nearest integer?\nAnswer: 814","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2729326?\nAnswer: 2, 1364663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11253 and 1573.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -154665 smaller than -154664?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10.4 + -10. Let g = -0.07 - 0.23. Let u = 0.4 - -0.1. What is the third biggest value in h, g, u?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -5*o - 69*y + 71*y, 2*o + y = -7 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 5*w**2 - 6. Let c be m(-2). Suppose 778 = 5*f + 4*k, -k + 772 = -0*f + 5*f. What is the highest common divisor of f and c?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 32256 and 932352.\nAnswer: 1536","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 10212 a multiple of 92?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -126173692 times -0.2?\nAnswer: 25234738.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000072932 to seven dps.\nAnswer: -0.0000073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12 + 11.9964. Round k to three dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 - 0. Let c(a) = -a - l*a + 3*a - 7*a + 1. Let r be c(-3). What is the highest common divisor of 4 and r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -37379145.0247666 - -37379141. Let j = u - -4.024. Round j to 4 decimal places.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes after 1:26 PM?\nAnswer: 10:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times 2241?\nAnswer: -2241","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 20 - 4*t - 1 + 13. Let w be y(8). Which is the biggest value? (a) 1\/10 (b) 5 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1540989318 to the power of 1\/3, to the nearest integer?\nAnswer: 1155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (6\/9)\/((-4)\/(-12)). Suppose -4*y + 4*c + 239 = 3*c, -2*c = -u*y + 118. Let d = 61 - y. Put -1\/6, d, 4 in ascending order.\nAnswer: -1\/6, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -99 divided by 201?\nAnswer: -33\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(76) + sqrt(76)*5*-5)*-6)\/(sqrt(324) - (sqrt(324) + sqrt(324)*3*6)))**2.\nAnswer: 1216\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*h + 6*h - 2*h - 2 + 2*h + 2 + 2 + h - 2 + (-5 + 5 + 2*h)*(-1 + 1 - 1))*(2 - 2 + 2) in the form d*h + x and give d.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:55 PM and 9:08 PM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -156.6 - -171. Let l = x - 14. Which is the closest to -2? (a) 4 (b) 0.1 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -7*q - 60. Let p = q - -15. Suppose -p*m + b + 59 = 0, -2*m + m + 8 = 2*b. What is the highest common divisor of 54 and m?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 3648 and 2016?\nAnswer: 1632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 16*n**3 - 11*n**2 + 5. Suppose 0 = -q + s - 0 + 4, -3*s - 8 = -q. Let g(v) = 3*v**3 - 2*v**2 + 1. Give q*m(o) - 11*g(o).\nAnswer: -o**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 3 = 4. List the prime factors of o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15553 and 103.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s - 2*j + 4 + 6, -4*s + 2*j + 32 = 0. Suppose v - 3*c + 2 = 2*c, -c = -5*v + 86. Calculate the highest common divisor of s and v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/5 (b) 2 (c) -0.3 (d) 2.4 (e) -0.4 (f) -4076\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -120 + 72. Let p = t + 50. Factor -3*l**p + 20*l - 16 + 22*l**2 + 6*l**2 - 10*l**3 + 1.\nAnswer: -5*(l - 3)*(l + 1)*(2*l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -25548766*b*f**2 - 1723*b*f + 7*b - 2*f + 1 wrt f.\nAnswer: -51097532*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the first derivative of j**6\/180 - j**5\/40 - j**3\/3 - 1. Let y(c) be the third derivative of g(c). Find the second derivative of y(o) wrt o.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0.3, 45\/2, -2\/13, -4 in decreasing order.\nAnswer: 45\/2, 2, 0.3, -2\/13, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s + 3*g - 276, 0 = -5*s + g - 3*g + 445. Let a = -45 + s. Is 11 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 711165?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -112221 (base 3) to base 15.\nAnswer: -1bd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 100 and 102340.\nAnswer: 511700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -114 + 5*y + 21 - 34*y.\nAnswer: -29*y - 93","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 5, i: 3}. Give prob of picking 2 x and 2 i.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.3 + 0.30128. What is s rounded to 4 decimal places?\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 4322, 3958, 3608, 3272, 2950, 2642, 2348?\n\"Answer: 7*w**2 - 385*w + 4700","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2\/5, -1\/6, -0.059, 5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 60417403 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4645*q - 1064*q = -6208*q + 883*q - 213744 for q.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*r**2 + 11*r**3 + 5*r**4 - 12*r**3 + 8*r**3 wrt r.\nAnswer: 120*r + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 32275 and 497035.\nAnswer: 2485175","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -369, -358, -341, -318?\n\"Answer: 3*o**2 + 2*o - 374","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = w + 8. Let b be 4 - ((-12)\/w)\/3. Suppose -5*l + 3*c - 8*c = -250, -l = b*c - 50. What is the tens digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2842559 to the power of 1\/3, to the nearest integer?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**3 - 4*q**2 - 4*q - 4. Let h be f(-3). Is h - (-1 + 0) - (-113 - 3) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -13*h**3 + h**2 + 2*h - 3. Give w(2).\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5573*w**3 + 5584*w**3 - 11150*w**3.\nAnswer: 7*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-262)\/(-3)*(-264)\/(-2 - 6). Let w = 1975 + q. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 82 + (2 - 4) + 8736 + -8765\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1456*y + 492*y - 39348 = 1222*y for y.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 319*m**2 - 1678*m**2 - 2*m - 1250*m**2)*(m**2 + 0*m**2 + m**2).\nAnswer: -5218*m**4 - 4*m**3 + 2*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12\/(-39) + (-697050)\/(-390) is divided by 586?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c. Let m(i) = -22*i + 13. Suppose -4*s + 19 = -3*o - 4, 0 = 3*s - o - 11. Let k be 30\/9*3\/s. Let y(x) = k*t(x) - m(x). Differentiate y(h) wrt h.\nAnswer: 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1 + sqrt(363) - sqrt(363))*-2)**2 + sqrt(363) - (3 + (1*sqrt(363) + sqrt(363) - sqrt(363))**2) - 4*(5 + sqrt(363)*2)) + -3.\nAnswer: -385 - 77*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 5*p + 3 = 0, 0*p + 3 = -h - 3*p. What is the remainder when 20 is divided by h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - -31 - ((10 - 6) + -3 + -1)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/18*-15)\/((-2051)\/(-879))*13\/5?\nAnswer: 13\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 337965 to the power of 1\/2, to the nearest integer?\nAnswer: 581","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.5 (b) 3 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -127 (b) -2\/3 (c) -16124\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a meter in millimeters?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the first derivative of -4*i**3\/3 - 135*i**2\/2 + 33*i + 5. Let k be t(-34). Let w(b) = -1. Let l(c) = -2*c**2 - c + 5. Give k*l(g) - 3*w(g).\nAnswer: 2*g**2 + g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 3\/8, 4, -0.1, 18 in increasing order.\nAnswer: -0.1, 3\/8, 4, 5, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 754472?\nAnswer: 2, 94309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 713 and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y*((y\/(y*(y\/(((y\/(y\/y**(-2\/5)))\/y)\/y))\/y))\/y)\/y*y\/(y*y**(4\/3)\/y)*(y**(-2\/3))**(-36) assuming y is positive.\nAnswer: y**(304\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1669*c = -1648*c - 483. What is the remainder when 108 is divided by c?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -353774 (base 8) in base 11?\nAnswer: -82864","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1033325.\nAnswer: 5, 41333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange o**3 - o**2 - 3*o + 4*o**3 - 3*o - 17*o**3 + 6 - 4*o**3 to the form r*o**3 + x + p*o + v*o**2 and give r.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -r**3 + 5*r**2 - 4*r = 0.\nAnswer: 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -24 - -31?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - s = -13575, -44*z = -40*z + 3*s - 27149. What is the thousands digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes before 12:11 PM?\nAnswer: 12:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 9*f + 152. Calculate the remainder when 119 is divided by z(-12).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2321 divided by 5\nAnswer: -2321\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.8 in -2\/17, -7, -143, 4?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -31\/15 or -1?\nAnswer: -31\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 88 = 4*g, g - 8 + 50 = -2*l. Suppose -4*u + 5 = -3. Suppose 5*a = -5*c - 110, -u*c = a + 3*c + 26. Which is smaller: a or l?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 184? (a) -37 (b) 1\/7 (c) 2\/111\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10292 and 403.\nAnswer: 133796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 46.7661 and 3.\nAnswer: 140.2983","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 6\/5 of a decade?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 35.4 + -41. Let p = k - 1.4. Let b = -6.99986 - p. Round b to four dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -21\/38464 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*s + 5357 - 13787. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -133*b**3 + 2*b**2 - b. Let t be f(1). Let v = -1450\/11 - t. Suppose -5*q = 3*x + 11 - 99, 3*x = 2*q - 52. Is v at most q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.4 (b) 10 (c) 3 (d) 5 (e) -10\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 45*z**2 - 92*z + 101*z - 5*z**2 + 10. Is u(-5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 928?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**2\/6 - 16826*n\/3 + 78554.\nAnswer: -(n - 14)*(n + 33666)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 152645410?\nAnswer: 2, 5, 503, 30347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*b + 20 = -4*b. Calculate the greatest common divisor of b and 44.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 187 - 187.1. What is the closest to h in -5, 6, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 1284*x**2 + 12. Is g(-2) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/b**(-8)*b)\/b)**(-16\/5)*b**(-1)\/(b*b**(-2\/21)))**17 assuming b is positive.\nAnswer: b**(-54808\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1407 and 9198.\nAnswer: 616266","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 108.4 times 119794.9?\nAnswer: 12985767.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 371431, 371483, 371563, 371671, 371807, 371971, 372163?\n\"Answer: 14*s**2 + 10*s + 371407","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21201222 - -12011?\nAnswer: -21112211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -56216 + -7?\nAnswer: -56222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-320*k - 242 + 156 + 85)*(3 + 2*k**2 - 3) + 2*k - 2*k + k**3 to the form c*k**3 + s*k + h*k**2 + j and give c.\nAnswer: -639","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 17311104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 + 11121224?\nAnswer: 11121232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 124735 - 124745. Let c = -19 + 39\/2. Let i = -58\/5 - -57\/5. Put i, b, c in decreasing order.\nAnswer: c, i, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -59, -94, -93, -50, 41, 186, 391, 662?\nAnswer: 1005","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 4*f + 2*k, -k - 3 = f + 2*k for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -70\/3 - -23. Let g = 997\/7 + -142. Which is the closest to 1? (a) g (b) m (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11973.\nAnswer: 3, 13, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13 (base 11) to base 15.\nAnswer: e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 189970\/(-8635)*1*2\/(-132).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 88 + -79 + 1 + -13.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 187131 is divided by 45732.\nAnswer: 4203","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 - -24. Let v = 32 - t. Suppose -22 = -4*d + 2*r, 2*d + 3*r + v = -r. Solve 2*l + 4*s - 12 = 0, -d*l + 5 = -2*s + 3 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*l - 152880 = 55*l. Round l to the nearest one thousand.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express d + 269*d**3 - 271*d**3 + 1 - d + 3*d**2 in the form z*d**2 + r*d**3 + y + x*d and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -143\/775 + 3\/25. What is the closest to -0.1 in 3, u, 0.3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3542533 (base 7) in base 9?\nAnswer: 751817","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 144684 is divided by 1010.\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 - (-23 - (-27 - 31))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**27\/u**17*u*(u\/((u**(13\/3)*u)\/u))\/u*u*u*u*u*u**32)**(-4) assuming u is positive.\nAnswer: u**(-512\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1001101 (base 3) in base 16?\nAnswer: -2fe","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/((j\/j**1)\/j))**(-1\/3)\/((j\/(j*j\/(j*j**(-3\/8))))\/(j**(-1\/7)*j)) assuming j is positive.\nAnswer: j**(95\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes before 6:24 AM?\nAnswer: 2:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1589885249 to the nearest integer?\nAnswer: 1167","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5*(-5)\/(-100))\/(154\/756*9)?\nAnswer: -3\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-40)\/(-12)*((-48)\/10)\/2.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -127*g - 750 - 401 = 2913 for g.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2527 and 532.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -28336583 - -15?\nAnswer: -28336567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 451 and 55140162.\nAnswer: 55140162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -31*r + 100*r + 549*r**2 - 1 + 2*r**4 - 19*r + 11*r - 222*r**2 wrt r.\nAnswer: 24*r**2 + 654","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.59535nm in meters?\nAnswer: 0.00000000359535","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 + 20 - 2*o + 4*o + 0*o - 4.\nAnswer: 2*o + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1485 (b) -0.27 (c) -1\/8 (d) -2 (e) -5 (f) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -1\/38 (b) 3\/7 (c) 2\/9 (d) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 96*m - 97*m = 9, 19 = 3*o - 5*m. Let j = 5.05 - 0.05. Put o, 2\/7, 0.1, j in decreasing order.\nAnswer: j, 2\/7, 0.1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*t**4 - 263*t**3 + 334*t**2 - 67*t = 0. Calculate t.\nAnswer: -67, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -1151340 to the nearest 1000.\nAnswer: -1151000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.069 - 0. Let a = -937.769 - -938. Let y = n + a. What is the smallest value in 4, y, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -10*y - 4. Let w(s) = -11*s - 5. Let q(z) = -6*a(z) + 5*w(z). Let f be q(1). Let t(n) = 2*n - 9. Let c be t(6). Which is smaller: f or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 115477?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 5 - 1 - 2 - 1 + 5 + 3 - 4 + 3 + (1 + 1 - 3)*(-1 - 2 + 1) + 3 + 0 - 5)*(3*v - 3*v - 5*v) - 3*v + 4*v - 3*v + 2*v + 0 + 0)*(1313 - 1670 + 856).\nAnswer: -14970*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -8*((81\/(-6))\/(-9))\/(-1). Let h(v) = 2*v**2 - 17*v + 4. Calculate the remainder when h(k) is divided by 38.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 306 = 5*n - 269. Suppose -n = -3*k - s, 0*s = -4*k - 4*s + 164. List the prime factors of k.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -19107*j**5 - j**3 - 3*j + 5091.\nAnswer: -382140*j**3 - 6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the second derivative of p**4\/12 - p**3\/6 - p**2 + 3*p. Is 6 a factor of q(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, h: 4, s: 1, j: 3, k: 1, r: 1}. What is prob of picking 1 h and 1 k?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000252 rounded to 6 decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 167*w**2 + 2*w - 1. Let r be j(1). Let o = 1173\/7 - r. Let l be 1\/((-55)\/(-430)) - (-3 - -11). What is the biggest value in 8\/7, l, o?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 5, -67\/4, 0.33?\nAnswer: 0.33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -2*v + 27. Let x be i(13). Let z be 1 + (x - 0) - 4. Let d be (-1)\/(-2) - z\/(-4). Solve d = -4*k - k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -22*j - 107. Let c be k(-5). Let d be (c - 315903)*(-40)\/3. Round d to the nearest 100000.\nAnswer: 4200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-8)\/(-44) - (-4706)\/132. Let f = -36 + i. Which is smaller: 1 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4524673337 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/(15\/(-4)))\/(2\/(-6))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 54\/16535 and -43\/3141650.\nAnswer: 3141650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c - 56 = -783*w + 787*w, -w + 465 = 480*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 277200 and 7662600?\nAnswer: 107276400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 525.1776 kilograms to milligrams.\nAnswer: 525177600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/2*104\/637.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*n**2 + 1 - 3*n**2 + n**2)*(0*n**3 + 2*n**3 + 0*n**3).\nAnswer: 2*n**5 + 2*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-9 - -10)\/(1\/(-11)). Let v(m) = -m**2 - 12*m - 5. Let i = 34 - 32. Calculate the least common multiple of v(q) and i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -315d08 (base 16) in base 13?\nAnswer: -893664","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 44491275 and 5400?\nAnswer: 675","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74 + 388 = 22*y. List the prime factors of ((-7)\/y)\/(2 + 1574\/(-786)).\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**2 + 4*k - 3. Let o be 0\/(342\/76*(-2)\/3). What is r(o)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7 and 805?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 151 and -5.54?\nAnswer: -836.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**2 + 6*z + 2. Let h = -20 - -35. Suppose 3*g = -c - 9, 4*c + 8 + h = g. Let j be f(c). Solve 1 = i - j for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 81092?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 1 = -7. Suppose 56 = 4*r - 8. Suppose q*x + 16 = m, -m + r = -3*x + 3. Sort 5, -1, x in descending order.\nAnswer: 5, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -15*s**3 - 6*s. List the prime factors of z(-3).\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 + -44?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*s - 222 = 67 + 159 for s.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 37.3297 meters to nanometers.\nAnswer: 37329700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 333*m**2 - 215*m**2 + 634*m**2 + 28*m - 28*m.\nAnswer: 752*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -121 - 188*z + 23 + 24 - 35 - 90 wrt z?\nAnswer: -188","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -3 - s**2 + 1 + 2*s + 3. Let d be q(-1). What is the units digit of (-3 + 4)*(d + 12)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6265775?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 59*t + 1. Let d(f) be the first derivative of f**3 - 104. Give v(d(w)).\nAnswer: 177*w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = h - 5. Suppose -h = -v + 1. Suppose -22 = -v*d - 6. Is d a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 22232 - 1?\nAnswer: 22231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 16239307 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 472193 >= -2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five eighths of a micrometer in nanometers?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.12622 and 2.277.\nAnswer: -0.28740294","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 537242.8ns in milliseconds?\nAnswer: 0.5372428","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-1)\/(t**(5\/2)\/t)*(t**(-4\/7)*t)\/(((t\/t**(-2\/9)*t)\/t)\/t) assuming t is positive.\nAnswer: t**(-289\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 2*t = -8, -5*b + b + 39 = -3*t. Let l = 10 - b. Suppose -l*u = 1 + 3. Put -2, u, 5 in decreasing order.\nAnswer: 5, u, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-6*((sqrt(2299) - (sqrt(2299) - (-1 + sqrt(2299))*5) - (2 + sqrt(2299) + 1)) + -5*(sqrt(2299) - (sqrt(2299) + 2 - sqrt(2299))) + -1))**2.\nAnswer: -792*sqrt(19) + 82800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -41.099999757 - -41.1. What is l rounded to seven dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1*-20)\/(-5) - (2 - -71). Let r = i - -73. Let u(p) = 23*p - 12. Is 20 a factor of u(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 13, f: 3}. Give prob of sequence fhfh.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*p**2 + 3*p**2 + 2*p**3)*(7*p - 4*p - p)*(-68 + 4 + 12) to the form t*p + d + a*p**3 + l*p**2 + i*p**4 and give i.\nAnswer: -208","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/5, -6\/19, 0.1, -5, 0.4 in increasing order.\nAnswer: -5, -4\/5, -6\/19, 0.1, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 365102596 is divided by 161.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 - 7)*-5 + (-10)\/((-920)\/468).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -25 and 55.827?\nAnswer: -1395.675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 22501223 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**4 + 2*n**3 + n**2 - n + 4. Let f(z) = 4*z**4 - 36*z**3 - 198*z**2 - 107*z + 36. Let g(o) = 2*f(o) + 6*y(o). Determine j so that g(j) = 0.\nAnswer: -3, -1, 2\/7, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 14) in base 4?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 5*f + 3. Let n(o) = 7*o + 4. Let h(q) = -5*n(q) + 8*z(q). Let j be (1 + -1)\/(7 - 9). Let k = j + 3. Let c(l) = 9*l + 7. Determine k*c(g) - 5*h(g).\nAnswer: 2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * 290535.\nAnswer: 29053.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 - (0 + 1\/(-2)). Suppose 3*x = 4*g - 8, -4*g = 4*x - x + 16. Which is the smallest value? (a) -3 (b) g (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*n**5 + n**5 - 7*n**5 + (-278*n**3 + 3*n + 53*n**3 - 13*n**3)*(0*n + 2*n + 0*n)*(4*n - 4*n + 2*n).\nAnswer: -956*n**5 + 12*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the first derivative of 3*w**2 - 2. Let a(f) = 0*f - 16*f + 9*f + 7*f - 4*f**2. Calculate o(a(k)).\nAnswer: -24*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44028692*v - 146*v**2 - 44028692*v.\nAnswer: -146*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*i + 3 = 51. Let u be 3 + (-4 - i) + (-1 - 0). Suppose -b - 4*c = 3*b - 2760, -b = -u*c - 681. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 65213715?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -19 + 2. Let f = d - -17.5. Let i = 299 + -2687\/9. What is the nearest to -2\/3 in f, i, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1344912 - -5?\nAnswer: -134490c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1584126 to the power of 1\/3, to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*i + 32*i + 114 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 126*x + 3872 = 722 for x.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -18, -13, -8, -3, 2, 7?\n\"Answer: 5*f - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the second derivative of p**7\/14 - 19*p**6\/10 + 249*p**5\/20 - 65*p**4\/4 - 1991*p. Solve c(h) = 0 for h.\nAnswer: 0, 1, 5, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*j**2*r**2 - 549*j**2*r + 59*j*r**5 wrt r.\nAnswer: -12*j**2 + 1180*j*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20563, 20643, 20723, 20803, 20883?\nAnswer: 20963","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 44416840 to the nearest integer?\nAnswer: 6665","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -209 (base 11) to base 12\nAnswer: -18b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 53041689 and 1206?\nAnswer: 603","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 - (-2)\/(-4)*10. Let r = 8 + x. Calculate the smallest common multiple of 4 and r.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010111001 - -1?\nAnswer: -1010111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fxmyfpfpxmyfffx. What is prob of sequence yp?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000006036 to six decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -9 (b) 2\/17 (c) 0 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.961 - -0.5.\nAnswer: -0.461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3055611 + 36?\nAnswer: -3055542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the first derivative of r**6\/360 - 7*r**4\/72 + r**3\/3 + 101*r**2\/2 + 126. Let t(m) be the second derivative of v(m). Find y such that t(y) = 0.\nAnswer: -3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 4, v: 3, i: 1, f: 2, c: 1}. Give prob of picking 1 i, 1 o, and 1 v.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 858*x - 1716*x + x**2 + 8 + 852*x.\nAnswer: (x - 4)*(x - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(2\/25)*o\/(o\/o**25)*o assuming o is positive.\nAnswer: o**(652\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -732*m - 6790. What is r(-13)?\nAnswer: 2726","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5209362?\nAnswer: 2, 3, 23, 12583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve j + b = 7, 0 = 10*j + b - 2 - 77 for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k**2\/9 - 74091884*k\/3 + 686200909333682 = 0.\nAnswer: 55568913","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add together -23323 and 0.386661.\nAnswer: -23322.613339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -2*w - 3. Let m(d) = 12*d + 7 - 4*d - 4*d. What is 5*b(p) + 2*m(p)?\nAnswer: -2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 o when two letters picked without replacement from jojooooijjj.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five eighths of a tonne in kilograms?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-1)\/48)\/(31\/7006) and 0 + (-166)\/(-12)*1.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 5*n - 22. Calculate o(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 234085030 and 115?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 220342445 + 22?\nAnswer: 220342511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/5, 34, -4\/7, -0.2 in ascending order.\nAnswer: -4\/7, -0.2, 1\/5, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that r**2 + 620*r + 94251 = 0.\nAnswer: -353, -267","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 102010201202222 (base 3) to base 5.\nAnswer: 3003404232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(9\/4)*o)\/o**12)**(-3\/4) assuming o is positive.\nAnswer: o**(105\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -837 divided by -279\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-4))\/(66\/(-528))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 42219081 and 3?\nAnswer: 42219081","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the third derivative of 0 + 0*r**3 + 0*r + 183*r**2 + 1\/8*r**4. Let i(a) = -2*a - 5. Give i(d(f)).\nAnswer: -6*f - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 461904 by -6.\nAnswer: -76984","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 962249?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -i**5 + 1355151*i**4 + 2*i**2 - 136262*i + 1 wrt i.\nAnswer: -60*i**2 + 32523624*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -6, 0.07, 0.5, -76, -1?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d*d**2)\/((d*d**(-5))\/d))\/(d*d\/d**(-1\/24)*d**(-7)) assuming d is positive.\nAnswer: d**(335\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 327.8 - 327.5. Let v = 10.07 - 10. Let s = 5.07 - v. What is the third smallest value in 1, 0.5, s, d?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 348 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2 - 3)*(1 - -38). Let i = x - -72. Let g = -26 - -48. What is the greatest common factor of g and i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49 - 7 = 4*q. Let a(g) be the third derivative of -g**4\/24 + g**3\/3 + 12*g**2. What is the units digit of a(q)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*v + 5*v - 16 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xtzx when four letters picked without replacement from {s: 4, t: 5, x: 10, z: 1}?\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z - 12*z**2 - z. Let v(t) be the third derivative of t**4\/24 - 142*t**2. Calculate h(v(s)).\nAnswer: -12*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 8 = -28. Calculate the highest common divisor of 16 and z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -4*a. Suppose 72*n - 68*n = 83720. Let q(z) = -20930*z + n*z + 8*z**2. Give q(r(g)).\nAnswer: 128*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2*z - 1)*(2*z + 7 + 36 + 19)*(4 - 4 - 1).\nAnswer: 4*z**2 + 124*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(0 + (sqrt(5) - (-1 + sqrt(320)))*3))**2.\nAnswer: -4536*sqrt(5) + 79704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 962303 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the third derivative of -17*h**4\/24 + h**3\/6 + 3991*h**2. Let a(v) = 10*v. Give a(i(w)).\nAnswer: -170*w + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**2 - 5*q - 5. Let z(y) = 3*y**2 - 14*y - 14. Let r(s) = -78*s - 145. Let g be r(-2). Give g*n(l) - 4*z(l).\nAnswer: -l**2 + l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -10348 divided by -199\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -43*j + 182. Let d be x(4). Suppose -d*c = -20*c + 11780. List the prime factors of c.\nAnswer: 2, 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 82.892 - 55962.838.\nAnswer: -55879.946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -225*b + 211. What is p(1)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (180\/200)\/(3\/5)*-3?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**3\/2 - 16037*w**2\/2 + 128353*w\/2 - 112315\/2.\nAnswer: -(w - 7)*(w - 1)*(w + 16045)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the second derivative of -5*n**7\/42 - 33*n**6 - 3267*n**5 - 119790*n**4 + 98*n + 1. What is i in y(i) = 0?\nAnswer: -66, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:43 PM and 9:15 AM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -458688, -458686, -458684, -458682?\nAnswer: -458680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 37555988?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*51\/(-68)*(-192)\/(-504)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 95*y + 15*y + 56*y - 35*y as b + g*y and give g.\nAnswer: 131","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -261*0.407\nAnswer: -106.227","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -1) + (-1 - 0).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 2*k**2 + 3*k. Suppose 40 = -3*h + 34. Determine m(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 201161 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -2*y**2 - 27*y - 14. Calculate l(-13).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 694343.4um to millimeters.\nAnswer: 694.3434","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -464*o = -467*o + 6*a + 9 - 48 - 72, -2*o - 3*a - 74 = 0 for o.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 390?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 3*m - 21, -4*m - 4 = -5*m. Let j be -1*118*2\/(-4). Calculate the common denominator of n + 1\/6*j and 151\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2005253 - 15523?\nAnswer: -2025220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 7978000 to the nearest 100000.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b + 4. Let h be k(5). Let z(n) = n + 1. Let g(d) = d**2 - 12*d + 7. Let u(l) = -g(l) - 2*z(l). Let f be u(h). Sort 1, 4, f in decreasing order.\nAnswer: 4, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -2 + 1 + 8*g**2 - 6*g**2 + g - 3*g**2. Let s(n) = -3*n**2 - 3*n - 1. Let y(j) = a(j) - s(j). Find f, given that y(f) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 24 - 24 - 11*m**4 + (-m + 3*m - 3*m)*(-3*m**3 + 2*m**3 + 2*m**3).\nAnswer: -12*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**3 + 3*v**2 - 3*v - 6. What is the units digit of h(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 10*r**3 - 9*r**2 - 13. Let g(a) = -5*a**3 + 4*a**2 + 6. Determine 13*g(v) + 6*x(v).\nAnswer: -5*v**3 - 2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -5*a**4 - 230*a**3 - 1565*a**2 + 24840*a - 58320 = 0.\nAnswer: -27, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 920073672?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13658 to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 106509?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = 2*p - 3*p. Let v(n) be the first derivative of p*n**2 + 0*n - 1\/3*n**3 - 2. Let a(c) = -3*c**2. Determine v(a(k)).\nAnswer: -9*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 16035613 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(648) - (sqrt(648) + 1)))*-2.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**3 + 15*l**2 + 57*l - 15. What is u(-7)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 22.7 - 23. Which is the nearest to y? (a) -0.5 (b) 4 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**2 - 35*d - 296. Calculate w(46).\nAnswer: 210","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -49620200 divided by -28\nAnswer: 1772150","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 202*h*t - 21*t + 3 with respect to h.\nAnswer: 202*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:36 AM and 6:41 AM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 w when two letters picked without replacement from cdctwcldiiitdt?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*h**3 + 3*h**3 + 2*h**3 - h**3.\nAnswer: h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 0*i - j - 1 = 0, 5*i - 5*j + 5 = 0. Find l such that -3 - l + l**2 + 2 + i*l - 1 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 1290055 - 136*a**2 - 314*a**2 - 6*a**3 + a**3 - 4665055 - 67500*a + 4*a**3 = 0.\nAnswer: -150","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12005 a multiple of 113?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**3*(j\/j**(-5))\/j)\/(j**1\/j*j\/j**2))**(5\/6))**(-21) assuming j is positive.\nAnswer: j**(-315\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + 621*o + 178 = 618*o, -13 = -28*g - 2*o - 5 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 983 is divided by 223.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) -1\/4 (c) 532516\/27 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00862572 to three dps.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**3 - 22*f**2 - 19*f - 28. Let k be (((-158)\/10 - -2)*5)\/(-3). Is 4 a factor of l(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(91) + (sqrt(91) + sqrt(91)*-1)*-3 - sqrt(91))\/(sqrt(847)*-2 + sqrt(847)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 17203339?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 483 - 484. Let f be (-1)\/(-3)*(12 - (4 + s)). Let x(d) = -d - 3. Determine x(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, 0.5, -1\/19, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -2*k + 1. Let r(x) = x**3 - 11*x**2 - 15*x + 17. Let s(d) = 6*f(d) - r(d). Let y be s(11). What is the greatest common factor of y and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**3 - 8*k - 9. Let v(d) = -d - 1. What is -18*v(q) + 2*x(q)?\nAnswer: 2*q**3 + 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 3*m - 3*m - 3 - 2*m. Give r(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 7*m**2 + 32*m + 27*m - 59*m + 42. Let u(y) = -2. Let f(c) = d(c) + 21*u(c). Let q(a) = 30*a. Give f(q(o)).\nAnswer: 6300*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -31, -212, -371, -496, -575, -596, -547?\nAnswer: -416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -22c7 - 41?\nAnswer: -2338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10 - -10. Calculate the highest common factor of 50 and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58 = 5*v + 8. Suppose 97*f = 94*f + 12. Let n be (-609)\/(-14) - (-4)\/8 - f. Calculate the greatest common divisor of n and v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 divided by 957\nAnswer: -1\/87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**2 + 3. Let n = 10 - 23. Let q = 11 + n. Let u be m(q). Let f(g) = -13*g**2 + 2*g + 1. Calculate f(u).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x = -83 + 53 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 2*v**2 - 561*v + 2743. Calculate a(5).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-10)*-9)\/((-31407)\/1160 + 27).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4565075938 to the power of 1\/3, to the nearest integer?\nAnswer: 1659","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + x - 2 + 5 = 0, x - 12 = -4*u. Suppose -4*l = u*g - 65, -5*g - 2*l = 2*l - 95. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from {w: 6, d: 4, y: 9}.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-1)*(39\/42)\/13.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b - u = -6*u, -u = -4*b - 0*u for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/3*57\/114?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 14, -271, 2 in descending order.\nAnswer: 14, 2, -2, -271","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k + 4411 = 4*k. What are the prime factors of k?\nAnswer: 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**3 - 5*m**2 + 4*m - 8. Let z be r(-6). Suppose -2*a - 102 = -z*a. List the prime factors of a.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -4*w - 9. Give g(-5).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12252271 is divided by 371.\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 499 + -99. Suppose x = 3*t + 5*t. Suppose 0 = -j + 82 + t. What is the remainder when j is divided by 45?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**2 + 10*x + 13. Let b be z(-9). Let q be 6*(14 - (b - 2)). Suppose 6*i + q = 9072. Round i to the nearest 1000.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 307 + -312. Let h(o) = o**2 + 4*o - 1. Determine h(a).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = n - 6*g - 23, 4*n = g - 764 + 787 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j. Let k be m(0). Suppose c = -r + 8, 0 = -2*r + 3*c - k*c + 1. What is the remainder when r is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/8 + 6\/(-8). Let s be 18\/(-4) - (2 + 42\/(-12)). What is the biggest value in s, 2, q?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 76.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101702 is divided by 33566?\nAnswer: 1004","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 55 + 139 = 0. What is the units digit of q\/(-3) - 8\/12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide (-42)\/4*-2*6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -5 and 13736.\nAnswer: 13731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 0 - 2)*(-4 + 3 - 1)*(2*o**3 - 2*o**3 + 2*o**3) as i*o**2 + f*o + j + q*o**3 and give q.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -d682 (base 15) to base 5\nAnswer: -2422342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 37.339 + -18.361. What is k rounded to 1 decimal place?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*j + 3*u + 80, 0 = 153*j - 143*j + 3*u - 160 for j.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-4)*-5*16\/(-1020)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the second derivative of -1\/6*h**4 + 3*h**2 + 0*h**3 + 1\/10*h**5 - 1\/60*h**6 - 8*h + 0. Let j(y) be the first derivative of z(y). Solve j(o) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -t + 3*t + 106, -53 = t + g. Let q = t + 153. What is the tens digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -1) + 14 + -61 - 3 - (287 + -283).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2019 is divided by 84?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -32 + 28. Let p(h) = -h**2 - 5*h - 2. Let n be p(g). Solve -4 = -n*k + 4*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7735 and 819.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(-2)\/(-1)*2\/(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -48*f - 10. Let k(b) = -2*b. What is i(k(z))?\nAnswer: 96*z - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 + 24 + 25 + -33.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the second derivative of t**3\/3 + t**2 + 25*t. Calculate r(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11315012 by 316.\nAnswer: -35807","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1826?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 1 = -5. Find the third derivative of 3*t**2 + 0*t**5 + 0*t**a + 2*t**5 - 4*t**2 wrt t.\nAnswer: 120*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3112000 is divided by 2103?\nAnswer: 1663","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 74 + -214.6619251686.\nAnswer: -140.6619251686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**2 - i**2 + i**3 - 3*i**2 + 3 - 6*i. Let z(s) = s**2 + 9*s + 2. Let n be z(-9). Suppose -h - 8 = -n*y - y, -32 = -5*h - 3*y. What is p(h)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 140 and 70368?\nAnswer: 2462880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 37, 17, -59, -191?\n\"Answer: -28*a**2 + 64*a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -20*j**2 + 11*j. Let x be 2\/(((-16)\/132)\/(6\/9)). Let a(w) be the third derivative of 7*w**5\/60 - w**4\/6 + 99*w**2. What is x*a(b) - 4*o(b)?\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**2 + w - 3. Let f be x(-3). Let g(u) = -u + f + 0*u + 3. What is g(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 22*b**3 + 4*b - 3. Let r be f(1). Suppose r*k + 79 = 493. What is the lowest common multiple of k and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 0 + 0 - 2*m**2. Let g = -16 - -14. Let d(b) = -5*b. Let n(t) = 2*t. Let v(a) = g*d(a) - 4*n(a). Give f(v(z)).\nAnswer: -8*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -5692 < -6729?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 643 divide 38703496?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qvqvlqqlq. Give prob of picking 1 v, 1 l, and 1 q.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 254640?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (9\/(-6))\/((-1)\/(-2)). Let s = -2 - v. Let k = s - -2. Sort -0.5, k, 5 in descending order.\nAnswer: 5, k, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (-2 + 10 - -44) - (11 - 12 - 0)?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -183*n - 230*n = -157*n - 12800 for n.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 21 + 125*x**3 - 20 - 45*x**2 - 123*x**3 as c + s*x**3 + d*x + a*x**2 and give a.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 146178220?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v**3 + 234*v**2 + 956277*v + 184826040 = 0.\nAnswer: -301, 680","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 740*m - 10380 = 6226 - 3286 for m.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 535*d - t = 263*d + 266*d - 85, 5*d + 5*t = -2*t - 110 for d.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -5*s**2 + 20*s + 25 = 0?\nAnswer: -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 2563, -1\/4, 1\/5, -5384 in increasing order.\nAnswer: -5384, -1\/4, 1\/5, 2563","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*t + 19*t - t**3 + 1 + 9*t + 0 to a + y*t**2 + f*t + g*t**3 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes after 1:37 AM?\nAnswer: 4:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add 1133394 and -2.7.\nAnswer: 1133391.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 42.97 rounded to zero dps?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-12)*h)\/h**(-11) assuming h is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (8 - 4)\/(9 - 5). Sort -19, m, -2 in descending order.\nAnswer: m, -2, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 6*t + 19. Give l(-7).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.4086 - -0.2086. What is the closest to n in 0, -2, 2\/9, 3\/11?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2)\/3)\/(416\/9808824) - -1. Let z = i + 15716. What is the common denominator of 59\/2 and z?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 26 + -118?\nAnswer: -b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/27 + (-26 + 43 - 605\/45)?\nAnswer: 28\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:08 AM and 12:03 PM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 14 + 1 - 14.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -3*i - 7. Let u be f(-4). Suppose u*o - 7*o = -60. Calculate the smallest common multiple of 30 and o.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -37*n**2 + 124 - 65 - 59 in the form i + r*n + s*n**2 and give s.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 618898589 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 147*t**2 + 36078*t + 2213643 = 0.\nAnswer: -859\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 5*z = -1116. What is the highest common factor of 186 and z?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16 - 7209*z + 8597*z - 16 to the form f*z + v and give f.\nAnswer: 1388","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 2*d = 0. Let h(k) = k**2 - 9*k + 3. Let s be h(9). Let r = -83 - -93. Solve s*o - o + r = d for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-2 + (2 + sqrt(847))**2 + sqrt(847)*-1 + -3 - -1*(-3 + (sqrt(847) + sqrt(847)*2 - sqrt(847)))).\nAnswer: 110*sqrt(7) + 1686","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 265 - 237. Let f be -2 + u\/(12 + -5). Sort f, 17, 0 in decreasing order.\nAnswer: 17, f, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -19483 - -28719. Let n be (b\/30)\/(505\/15). Let d = -9\/202 + n. Find the common denominator of 45\/22 and d.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n - 154 - 47. Calculate the remainder when n is divided by 34.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes after 10:43 PM?\nAnswer: 12:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 226671.80082 + -226664. Let i = -7.8 + k. Round i to four dps.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**2 - 17*o + 2. What is the smallest common multiple of 4 and b(-8)?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -181 - -172. Let f(g) = 2*g**2 - 5*g - 8. Is f(h) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 30 and 105.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 549*i = 115*i - 240*i - 21568 for i.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the second derivative of 7*b**4\/3 + b**3\/3 + b**2\/2 - b. Let s be g(-1). Solve -3*f + 3*c = s, 0 = -3*f + 2*f - 2*c + 3 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.145 - 181.145. Let z = h + 180.99911. What is z rounded to three dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 1020*q**2 - 37 - 1018*q**2 - 27 + 1 - 3*q - 3*q**3 as t*q + m + x*q**3 + z*q**2 and give m.\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q + 49. Let m(b) = 2*b + 97. Give 7*h(r) - 4*m(r).\nAnswer: -r - 45","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 42\/29 in -38.3, 0.1, -2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(2\/7))\/(y**(-5\/4)\/y)*(y\/y**(-1))\/y*y*y\/(y**(-8)*y*y) assuming y is positive.\nAnswer: y**(351\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1681229?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.0635 and 53347.\nAnswer: 53347.0635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 14, 25 in descending order.\nAnswer: 25, 14, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32615*h - 1165450 = -32626*h. Round h to the nearest 10000.\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the second derivative of 0*r**6 + 0 + 0*r**4 - 12*r + 5\/21*r**7 + 0*r**2 - 13\/6*r**3 + 0*r**5. What is the second derivative of g(t) wrt t?\nAnswer: 200*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2112)\/(-120) + (-2)\/(-5). Suppose 0 = 3*w + o - 48. What are the prime factors of ((-6)\/(-18) + 46\/6)*w?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -208 + 194 + -2 + 18 - 8?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -4*n - 101. Let y be x(-26). Let -3\/5*q**y - 6\/5*q + 0 + 9\/5*q**2 = 0. Calculate q.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 303652 = 98*s - 211995 + 81017. What is the thousands digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6096150 and 228?\nAnswer: 12192300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**20\/b)**20 assuming b is positive.\nAnswer: b**380","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21824 = -11*v - 0*v. Suppose 0*y = -8*y + v. What is the highest common divisor of y and 62?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 1)*(6 + 9 - 7)*(-2*a**5 - 2*a**5 + 2*a**5).\nAnswer: -16*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12\/7*r**4 - 8\/7*r**2 + 2\/7*r**5 + 0*r + 18\/7*r**3 + 0.\nAnswer: 2*r**2*(r - 4)*(r - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -20*i - 5100 + 5100. Let m(w) = 2*w. Give m(n(q)).\nAnswer: -40*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12 + 1. Let f = -13.056 + q. What is f rounded to 2 decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a day in seconds?\nAnswer: 32400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2344)\/(-879)*3\/2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 10, d: 2, t: 1, o: 1}. What is prob of picking 1 t and 1 b?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.004 and -660?\nAnswer: 2.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*r - 5*r + 19*r + 12 + 2 - 7*r.\nAnswer: -3*r + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3520963 to the power of 1\/3, to the nearest integer?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -5, 4, -12 in decreasing order.\nAnswer: 4, -1, -5, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3346975605 to the nearest integer?\nAnswer: 57853","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t**2\/5 + 19258*t\/5 - 173484\/5 = 0. Calculate t.\nAnswer: -9638, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1192, -1193, -1194, -1195, -1196, -1197?\nAnswer: -1198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = p - 353, -4*p + 818 + 594 = -2*j. Calculate the remainder when p is divided by 111.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16 and 1380?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 40638 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -243756 divided by -6\nAnswer: 40626","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 851 - 4273\/5. Let p = -264\/29 - -1129\/261. What is the common denominator of n and p?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the second derivative of y**5\/10 + 3*y**4\/2 - 24*y. What is the third derivative of d(q) wrt q?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 5, o: 1, b: 5, p: 2, n: 2, z: 2}. What is prob of sequence nbno?\nAnswer: 1\/5712","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 + -7)*(8 + -3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:32 AM and 10:59 AM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1073745 a multiple of 223?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n - n - 10 = 0. Suppose n*u + 2*u = 124. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 - (-3 - -23 - (3 - -7) - 2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, l: 2, d: 1}. Give prob of sequence ll.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 0, 21, 3008 in descending order.\nAnswer: 3008, 21, 0, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3642791 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 149 - 149 + 25254*p**4 + 5386*p**4 + (0*p + 0*p - p**3)*(1 - 2*p - 1) + p**4 - 4*p**4 + 5*p**4 as d + h*p**3 + w*p + u*p**4 + g*p**2 and give u.\nAnswer: 30644","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -2*d**2 + 39*d + 20. Let f be w(19). Find the third derivative of -35*h**3 - h**3 - 81*h**2 - f*h**3 - 95*h**3 + 82*h**2 + 5 wrt h.\nAnswer: -1020","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.5200006272 - 0.52. What is x rounded to 7 decimal places?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -21 - -15. Let y(q) = -7*q - 17. Let m(n) = n**2 - 221*n + 11. Let b be m(0). Let h(r) = -4*r - 9. Give a*y(o) + b*h(o).\nAnswer: -2*o + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v**2 - 3*v**2 + 8*v**2)*(-v + 4*v - 4*v) - 21*v**2 + 21*v**2 + 7*v**3 + 0*v**3 + v**3 + 0*v**3.\nAnswer: 4*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*g**3 - 3*g**3 + g**3 + (-3*g - g + 2*g)*(-17*g**2 - 30*g**2 - 10*g**2).\nAnswer: 112*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*l**3 - 5*l**2 - 109 + 109 + 112*l**2 + 4*l**3.\nAnswer: -l**3 + 107*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 2*f + 8 + 12*f - 8 + 9*f. Let c(g) = 66 - 32 - 6*g - 34. Determine c(w(x)).\nAnswer: -138*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-28)\/(-5))\/((-14)\/(-35)). Let b(m) = -m**2 + 70*m - 370. Let v be b(62). Calculate the highest common divisor of o and v.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - 0 - (177 + -88 + -90).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**2 - 9*z - 13. Let c be d(-6). Suppose -5*b + 448 = -v, -c = 3*v + 4. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 - -505ac?\nAnswer: 505a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -225812 by 355.\nAnswer: -225812\/355","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mgg when three letters picked without replacement from ggmmg.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(396)\/(2*sqrt(9)) - (sqrt(44) + sqrt(396)\/(sqrt(9) + sqrt(9) + sqrt(36)\/sqrt(4))))\/((sqrt(48) - sqrt(96)\/sqrt(2))\/sqrt(12) - sqrt(16)*2)*-4)**2.\nAnswer: 275\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-333)\/132 - -2) + (14 - 4730\/344).\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -3*sqrt(5)*-2.\nAnswer: 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -23.49 (b) 51\/11 (c) 0.09 (d) 4 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + 3*s - 53 = 11*d, 964026*s - 964026*s - d - 3 = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 484*b**3 - 263*b**2 - 7*b - 21. Let l(w) = 323*w**3 - 175*w**2 - 5*w - 15. Let v(u) = -7*l(u) + 5*n(u). Find the third derivative of v(h) wrt h.\nAnswer: 954","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 44666, 85800, 126934, 168068, 209202?\nAnswer: 250336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2111012222 + -1202?\nAnswer: -2111021201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes after 12:11 PM?\nAnswer: 4:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-4*4*sqrt(77))\/(sqrt(1008) + 3*sqrt(1008) - sqrt(1008) - sqrt(1008)).\nAnswer: -2*sqrt(11)\/3 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, y: 1, w: 1, u: 3, f: 2, n: 4}. What is prob of sequence ufn?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 2*x - 5. Let b be 1 - x\/((-1)\/(-1)). Let p(f) = -15*f**2 + 23*f**b - 11*f**2. Let r(t) = 10*t**2. What is p(r(y))?\nAnswer: -300*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**2 - 5*c - 8. Let b be t(6). Let w(p) = -p + 9. What is the remainder when w(7) is divided by b + 3 + 1 + -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2*(-2)\/12)\/((-12)\/(-324))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*p + 18420 = -11500. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*k**2 + 14*k**2 + 9*k**2.\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 divided by -522455?\nAnswer: 6\/104491","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (76\/16 + 33\/(-44))*6\/36. Factor -1\/3*n**2 - 1\/3*n**4 + 0*n + 0 - j*n**3.\nAnswer: -n**2*(n + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -123*r = 177*r + 1500 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -161 - 119. Let d = -259 + v. Let k = -56 - d. What are the prime factors of k?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y - 1. Let u be l(-7). Let v(p) = -2*p. Let f(r) = 5*r. Let m(c) = u*v(c) - 3*f(c). Let q(z) = 4*z. Calculate 6*m(w) - q(w).\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**3 + 9*t**2 - 2*t - 8. Give a(9).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 199\/33 + -70\/11. What is the closest to 0.05 in -5, -4, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (5 + (-9)\/2)\/(6\/15948)?\nAnswer: 3, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2230303330 - -32301?\nAnswer: -2230211023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 - ((-102)\/40)\/(-3). Let a = -169 - -347. Let i = a + -178. Is i <= q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/3 - (-37999)\/(-12). Let z be (1008\/15)\/(6\/(-285)). Let n = c - z. Calculate the common denominator of n and -61\/10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0018894721 to five decimal places.\nAnswer: -0.00189","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 32500 to the nearest 1000.\nAnswer: 33000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**3 + 4*i**2 + i - 3. Let r be n(-3). Let p(c) = -r + 3 - c. Let a(k) = -3*k**2 + 2*k**2 - k**2. What is p(a(l))?\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -48738.5547 and 4?\nAnswer: 48742.5547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 5634317 a multiple of 1503?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 - 8. Suppose -z + 48 = -r*z. Does 12 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (z - 3*z + z)*(-5 - 2 + 1)*(1406 - 128*z - 1406) in the form f*z**2 + u + b*z and give f.\nAnswer: -768","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -27.97784684 to the nearest integer.\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1955 and 340.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -139 - ((-41 - 175) + -32)?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1535 + -242549\/158. Which is smaller: 0 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-6)\/((-12)\/(-4)) + -5 + 371?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r + 1, t + 4*r = -2*t + 5. Let u = 137 + -132. What is the closest to 0.2 in t, -4, u?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -144400 (base 9) to base 14\nAnswer: -2439b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -0.2, 0, 0.2, 2, 5015, 3\/7?\nAnswer: 5015","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 10190.921 to the nearest 10.\nAnswer: 10190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -524633*a**2 - 30*a - 47887308?\nAnswer: -1049266*a - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (481 - 1)*((-1280)\/(-60) - 16). Calculate the highest common factor of 10 and h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 0.5, 0.054, -16, 4, 2.\nAnswer: -16, -0.3, 0.054, 0.5, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -28 - 1761?\nAnswer: -1800","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17107365?\nAnswer: 3, 5, 11, 103681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -805, -1573, -2259, -2821, -3217?\nAnswer: -3405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 19913.4 times 4?\nAnswer: 79653.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-9)\/1 + 2\/1. Let p(d) = -d. Let c be p(t). Let l(q) = -q**2 + 8*q. Is l(c) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.5 (b) 0.5 (c) 109 (d) -0.3 (e) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-73 - 10481\/(-141))\/((-4)\/81).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66*u + 1227 = -63*u + 3*f, 1628 = 4*u - 4*f. What is the highest common factor of u and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(136) - 2*sqrt(136)) - sqrt(136))\/(-2*sqrt(1152))*-2.\nAnswer: sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 18\/((-6 + 8)*(-6)\/(-8)). Solve i - 4*i = h for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:45 AM and 12:51 AM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4.2 - -4. Let n = 4 + -3. Let u be (4\/36)\/(n + 0). Sort u, 2\/9, q in decreasing order.\nAnswer: 2\/9, u, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 43\/82 + -1\/41. Let m = -38 - -40. What is the second smallest value in -3, m, c, 3\/5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -73, -140, -205, -268, -329, -388?\n\"Answer: r**2 - 70*r - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 2*s**2 + s + 1. Let q be c(2). Let i = q + -7. Does 3 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/27)\/(((-91)\/(-39))\/7).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-3\/7)*z**(-5)*z*z**(-6)*z*z**(-2\/5))\/((z**(-4)\/z*z)\/z**(-2\/9))**(2\/15) assuming z is positive.\nAnswer: z**(-8812\/945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*d + 16 = -54*d for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, 0.3, -1\/4, -1\/6?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.7477126 days in weeks?\nAnswer: 0.8211018","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 10*x**3 - 2*x + 4. Let h(y) = -y**3 + 1. Let v(w) = -3*h(w) + q(w). What is the tens digit of v(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = m - 325, 5*m + 25*z = 20*z + 1565. What is the lowest common multiple of m and 1073?\nAnswer: 11803","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 - 2. Suppose -6 + 4 = -i. Let k = g + i. Solve 4*w - 4*d + 14 + k = 0, -14 = -w - 5*d for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 0 = 2*s, 0 = 3*q + s + 157. Let a = q - -72. Suppose 5*f = 75 + 305. What is the highest common divisor of f and a?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(300)\/(sqrt(60)\/sqrt(5)))\/(sqrt(1280)\/sqrt(4)).\nAnswer: sqrt(5)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1307 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.284672kg to milligrams.\nAnswer: 6284672","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -5*z**2 + 9*z + 3. Let n(a) = 1 + 16*a**2 - 5*a**2 - 18*a - 6 + 0. Let s(t) = 10*d(t) + 6*n(t). What is the second derivative of s(j) wrt j?\nAnswer: 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 757.8154 and 0.4200608.\nAnswer: 758.2354608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 1 z when three letters picked without replacement from lziulul?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 26 = 5*v + 242, 492 = 5*t + 3*v. Calculate the highest common factor of t and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the first derivative of 4*u**3\/3 - 13*u**2\/2 - 3*u + 15. Calculate the least common multiple of 9 and q(4).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 914 = 4*h + 4*m, 5*h - 2285 = -5*m. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-2\/3)\/(r\/(r*r*((r*r**(-3\/5))\/r*r)\/r)*r))\/(r\/(r\/r**2)*r**3*r))\/((r\/r**(-2\/7))**(-4\/3)*(r\/(r*r**(-1\/2)*r))**(29\/3)) assuming r is positive.\nAnswer: r**(-151\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 81, 73, 61, 45, 25?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 3567 = 1409. Let w be (925\/u)\/(10 + -11). Let x = w - -2\/311. Which is the second biggest value? (a) 0.2 (b) x (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**3 + 7*c**2 - c - 5. Let a(i) = -i**2 + 8*i + 11. Let m be a(9). Suppose f = m*f - 7. Let q be p(f). Is q at least -12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jmjm when four letters picked without replacement from mjjmjjj.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 138911.7 nanograms to tonnes.\nAnswer: 0.0000000001389117","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 - 3)*(3 + 1 + 2)*(3 + 2 - 6)*(-1 + 1 + 2*q).\nAnswer: 24*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -210180 divided by -5\nAnswer: 42036","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (399*i + 293*i - 8*i)*(91 - 91 - 28*i).\nAnswer: -19152*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 44\/4 - 6 - -239?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*d + 2576 = 182*d + 4172 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -34\/137 and 17\/7.\nAnswer: 959","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -34225\/4, 2\/17, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65 = 8*b - 3*b. Let j be 1*(0 - -117) - 0. Calculate the greatest common factor of b and j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r + 5*b + 220, -2*b - 172 = 3*r. Let w = -29 - r. Let j(a) = -a**3 - 8*a**2 - 8*a + 3. Calculate the least common multiple of j(-7) and w.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*j**5 - j**5 + j**5 - 5*j**5 - 49*j**2 - 3*j**4 wrt j.\nAnswer: 60*j**2 - 72*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2201 - 211111121?\nAnswer: -211121022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 116281?\nAnswer: 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 9*d - 191. Let i be w(21). What are the prime factors of i\/(7\/497*-2)?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b and 1 w when four letters picked without replacement from qxwxxbxbxppbpqpxp.\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 103867800 minus -0.074?\nAnswer: 103867800.074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 23896 and 164492648.\nAnswer: 824","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 - -329d?\nAnswer: 329c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 - -6. Let g(f) = 25*f**3 + 22*f**2 + 9*f. Let r(s) = 12*s**3 + 11*s**2 + 4*s. Let t(v) = o*r(v) - 4*g(v). Find the third derivative of t(w) wrt w.\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 72444 - 72126. Let c = 21 - 15. What is the greatest common factor of c and z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1899 + 21617*b - 19903*b - 619 wrt b?\nAnswer: 1714","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 4*h + 68 = 0, -r + 126 = 2*r + 2*h. What is the greatest common factor of r and 280?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 442712?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -40 - -44. Let x = -16 - -25. Solve -c*n - 7 = x for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 7 = -4*y + 6*y, 3*y + 4*g + 6 = 0. Suppose -p + 5*m - 12 = 3*m, y*p - 2*m = -16. Suppose w - 3*w = 6. Is p > w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8736 a multiple of 132?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a + 18. Let h be m(9). Sort h, 5, -4.\nAnswer: -4, 5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 740347670505.3000076 + -740341326408.5. Let k = c + -6344129.8. Let y = k + 33. What is y rounded to six dps?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 (base 5) in base 6?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(1\/3))**(-20\/7)\/(d**3)**(-20) assuming d is positive.\nAnswer: d**(1240\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3*20\/12*14*16. What is g rounded to the nearest one thousand?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-8))\/(9\/6)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 0*r**3 - 4*r**3 + 4*r**2 - 5*r**2. Let f(j) = j**2 + 4*j + 3. Let l be f(-2). Let z be p(l). Which is the third smallest value? (a) 0 (b) 5 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - 0 - (1 - -5) - 31050\/(-2760)?\nAnswer: 21\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51 is divided by ((-203)\/21 + 9)*-39?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/7 in -41538, -18, -1, 0.3, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(91)*-3)\/sqrt(7) + -5)**2 + sqrt(39)\/(sqrt(75) - sqrt(3)) + -2.\nAnswer: 121*sqrt(13)\/4 + 140","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13 - 0. Solve -3 = 2*o - n for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 21014 and 133?\nAnswer: 21014","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-324)\/(-8)*2\/3. Let s = o - -15. What are the prime factors of s?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 4*q = -90. Suppose 2*j = 15 + 17. What is the remainder when q is divided by j?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the third derivative of v**7\/840 - v**6\/60 + v**4\/8 - 25*v**3\/3 + 51*v**2. Let f(r) be the first derivative of k(r). Determine f(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22684 - 36667 = -3570*c + 72739 for c.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -423*l + 4*l**3 + 288*l**4 + 203*l + 210*l - 2*l**3 + 2*l**2 - 3*l**3 to the form n*l**4 + z + a*l + b*l**2 + t*l**3 and give n.\nAnswer: 288","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 128, 112, 92, 68?\n\"Answer: -2*q**2 - 10*q + 140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 143308505 divided by 4622855\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1648166\/509 or 3238?\nAnswer: 1648166\/509","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 2*l + 61. Suppose 7*m + 580 = 594. Let p(b) = 29*b**2 - 11*b**2 - 8*b**2 - 4*b**2 - 12*b**m. Give p(j(y)).\nAnswer: -24*y**2 - 1464*y - 22326","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(((-12)\/4)\/3)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 126 and 182?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -182777 - 2536184.\nAnswer: -2718961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2422?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 + 1\/(0 - -1). Let z(p) = -4*p + 5*p + 0*p + 2. Let u be z(2). Solve -u*r = 3*q - q - 24, -4*q = b*r - 18 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 16157896?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 523 - -148. Let n = p - 239. Is 18 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h*h**(-6)\/h)*h\/((h**(-31)*h)\/h))**6 assuming h is positive.\nAnswer: h**234","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 73 and 515.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/18)\/((-2)\/8*2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 485.8 - 186.8. Which is the biggest value? (a) -4 (b) q (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-6)\/(-72))\/((-8)\/(-1168)) and 53\/26.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16*(-18)\/1152*5*-28\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 2, 379, 5 in descending order.\nAnswer: 379, 5, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 268 a factor of 223780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*s**4 - 2*s + 3 - 9*s**4 + 4*s + 4*s**4 - 2*s**2 - 2*s**3 to the form l + i*s + y*s**3 + v*s**2 + m*s**4 and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*l + 2*l + 12 + 13*l in the form j + n*l and give n.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -16224 + 16215.571. Round i to the nearest integer.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.5, -1, 559024\/19, 0.02, -2?\nAnswer: 559024\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rju when three letters picked without replacement from jukkrrr.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -109, 3\/5, -2\/3, 5, 16 in descending order.\nAnswer: 16, 5, 3\/5, -2\/3, -109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*c - 6*c + c)*(-5*c**2 + c**2 + 3*c**2)*(256 + 26 + 48) as l*c + u*c**2 + o*c**3 + r and give o.\nAnswer: 330","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4974124423 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 - -9. Suppose -l*f = -2*f. Let j(k) = -k**3 + 5*k**2 + 8*k - 13. Let v be j(6). Which is smaller: v or f?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 147258 by 243.\nAnswer: 606","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -5*c + 1. Let v be g(1). Let o be (-2)\/v + 1570\/20. What are the prime factors of 4\/18 - o\/(-9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -13 - b42bb7?\nAnswer: -b4300a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m - 223 + 833. What are the prime factors of m?\nAnswer: 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a centimeter in millimeters?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/(-4) - (-10)\/(-20). Sort b, 15, -4, 1.\nAnswer: -4, b, 1, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of m**4 + 17884255*m**3 + 41479524*m**2?\nAnswer: 24*m + 107305530","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 1\/15, -7789, 1\/2?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 17. Let o(b) = b + 35. What is -7*c(k) + 4*o(k)?\nAnswer: 4*k + 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 5*o + 3. Let x = -115 + 118. Let c(b) = -b**2 - 14*b - 8. What is x*c(y) + 8*j(y)?\nAnswer: -3*y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 396 - 214. Let c = p - 112. Let q be (-14)\/4*(-200)\/c. Solve 2*l + 4*u + q = 0, -5*l + 15 = -3*l - u for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 + -11. Let i be (((-104)\/(-16))\/13)\/(2\/8). Which is the nearest to i? (a) -4 (b) -0.2 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29300 divided by 6.\nAnswer: -14650\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 2*k = -388, 0 = 7*l - 6*k + 2*k - 888. What is the highest common factor of l and 1088?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/55 greater than or equal to 121368?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times -18527\nAnswer: 9263.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((5\/((-10)\/(-4)))\/130)\/(((-47625)\/(-1651))\/75)?\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2 from 4253.3.\nAnswer: 4251.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 285 is divided by 154.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**2. Let j be 90\/60*20\/6. Let m(l) be the first derivative of j - 7\/2*l**2 + 0*l. What is m(b(i))?\nAnswer: 7*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 73*g**3 + 714.\nAnswer: 219*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 5*l - 1162 = 0, -3*t - 1430 = 2*t + 5*l. Let b = 356 + t. List the prime factors of b.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 44806783.\nAnswer: 4\/44806783","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -39 + 38.913. Let z = f - -0.0869898. What is z rounded to six dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v - 22*v - 32 = 0. Let u be (-11)\/v*2320\/29. Suppose -3*k = -u - 133. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 1 w when three letters picked without replacement from wjwwwwjwwwjwwwjwww.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1135231620 divided by 2?\nAnswer: 567615810","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/192*40*4\/3\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1382 and -1?\nAnswer: 1383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*c - 2*c + 4*c)*(1267 + 587 + 1633 + 1044 + 1865) as z + i*c and give i.\nAnswer: -19188","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*j + 4*j. Let y be (-8)\/j + (-28)\/6. Let v = 43\/2 - 23. Which is the nearest to v? (a) -3 (b) 2\/7 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 720.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the third derivative of -u**7\/1260 - 107*u**5\/60 + 16*u**2. Let x(d) be the third derivative of c(d). Let j(z) = 16*z. Calculate j(x(p)).\nAnswer: -64*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 44*g**2 - 2*g. Let c(x) = 86*x + 84*x + 86*x - 258*x. Calculate f(c(k)).\nAnswer: 176*k**2 + 4*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 - -5. Suppose -p + 3*b = -673, -s*b + 1730 + 1635 = 5*p. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*z + 12 = -19*z. Let s be z + (-1)\/(30\/(-192)). Which is the nearest to s? (a) -0.1 (b) -1 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 76 divide 4142?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-2)*120\/(-18)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:02 PM and 11:52 PM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 507369119 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**3 + b**2 + 6*b + 5. Let q be k(3). Suppose -2*s + 43 = -x + 6*x, 130 = 5*s + q*x. Let c = 4 + 11. What is the remainder when s is divided by c?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 7*h - 6*h - 2, -3*z - h + 4 = 0. What is the nearest to -4\/11 in -1\/5, 0.5, z, 4?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*f**2 - 15*f - 270.\nAnswer: 5*(f - 9)*(f + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 32*c - 10. Let v be z(2). What is the highest common factor of v and 135?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - (14 + -8) - 9?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -i - 4. Let m be -1*((-3 - i) + 3). Let p be 0 + m + 2 + -2. Is p greater than or equal to -2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 697276379?\nAnswer: 109, 6397031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 504736\/15 - 33637. Let k = 67\/5 - g. Factor 49\/3*a**3 - 8*a + 7*a**2 + k.\nAnswer: (a + 1)*(7*a - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((0 + sqrt(684))*4*2 + 3 + 0 + -5).\nAnswer: -240*sqrt(19) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 499177 is divided by 249561?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 1491 divide 71679480?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5604\/5 + (-225)\/125?\nAnswer: 3, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 2*l + 2*h - 420 = 0, 0 = -3*l - 2*h + 315. Let p = 73 - l. Let d = -19 - p. Solve 3*m + d = i - 1, -3*m + 4*i - 20 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13574 to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the second derivative of m**4\/12 - 3*m. Let d(o) = -6*o**2. Give d(x(r)).\nAnswer: -6*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes before 3:41 PM?\nAnswer: 6:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-238*g - 185*g + 169*g)*(g**2 - g**2 + 3*g**2) + (2*g**2 + 0*g + 0*g)*(0 + 2*g + 0) - g**3 + 0*g**2 + 0*g**2 + 0*g**2 + 6*g**3 + 0*g**2.\nAnswer: -753*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -141*w = -233*w + 176*w - 26880. Suppose 2*b - 60 = -0*b. What is the greatest common factor of w and b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3513985?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 180 = 6*w - 2*w. Does 9 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**2 - 6*z + 19. Let s be u(-8). What is the second derivative of 39*g**2 + 1 + g**2 + 3*g**3 + 20*g - 2*g**s - 12*g**2 wrt g?\nAnswer: 6*g + 56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*f**3 + 3*f**3 - 4*f**3)*(-68*f**2 + 788*f - 788*f)*(-4 + 3 + 0).\nAnswer: -340*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r - 3*r - 2*s = 4, 4*s = -4*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 54.864999 nanoseconds in days?\nAnswer: 0.0000000000006350115625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*2\/16*-2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 465 a factor of 12210431?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (106\/(-6))\/((40\/(-480))\/(1\/2))\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1580\/13 (b) 5 (c) -89 (d) -1\/2 (e) 3\/5 (f) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of (16 + -91)*8\/(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**2 - 6*w - 11. Let v be (-114)\/(-15) - 4\/(-10). Let c be k(v). Let s(x) = x**2 - 4*x + 5. What is s(c)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-6*1)*-15. Suppose -3*b - f*k + 42 + 5 = 0, -k + 22 = 2*b. What is the remainder when -8*4\/(2 + -4) is divided by b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -2*x**3 - 2*x**2 + 2*x + 1. Let v be p(2). Let d = v - -24. Which is the second biggest value? (a) -4\/7 (b) -2 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -3*z**3 - z + 2. Let o be x(1). Let n(j) = -7*j - 13. Let f be n(o). Suppose -3*s + 5*s - 20 = 0. Solve -5*c = -2*d + 11, c + f + s = -4*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*z - 91 + 31 = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/14)\/((-252)\/294)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 771 - 118. Is v a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-2) - 1349\/2. Suppose 0*o + 5*o + 3477 = 2*r, 4*r - 3469 = 5*o. Let n = o - h. Calculate the common denominator of -63\/8 and n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u + 5*g = 27, g = 1 + 2 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 57.54274ug?\nAnswer: 0.00005754274","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-3\/19)*s**13 assuming s is positive.\nAnswer: s**(244\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dnx when three letters picked without replacement from {d: 4, x: 3, n: 7}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 58aa3 (base 11) in base 9?\nAnswer: 138750","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4049 - 4037. Solve 16*w - 52 = r for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ii when two letters picked without replacement from {s: 2, d: 2, i: 3, c: 4}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -9054, -36091, -81114, -144123, -225118, -324099, -441066?\n\"Answer: -8993*r**2 - 58*r - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -0.02 (b) -2 (c) 611\/5 (d) 2\/17 (e) 6 (f) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b - 11 = -u, -b = -0*u - u - 9 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5212349 is divided by 239.\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 - -3. Let u be 2\/(0 - -2)*2. Let y be -4 + u - (-24)\/11. Put y, -0.2, f in decreasing order.\nAnswer: y, -0.2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 93636.0889 + 1.1?\nAnswer: 93637.1889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes after 7:41 AM?\nAnswer: 9:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 151286\/21 - 7204. Which is the smallest value? (a) z (b) -1 (c) -2\/57 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j**(-23))\/j**7)\/(j\/(j\/(j**(4\/13)*j)))**(23\/5))**(-15) assuming j is positive.\nAnswer: j**(6828\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*s = -12*s - 18. Let r(n) = -s*n - 92*n - 51*n. Let o(h) = -h. Determine r(o(b)).\nAnswer: 146*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -48571\/26260 - 1\/2626. Let m = 9\/4 + j. Factor -m*h**2 - 4\/5 - 6\/5*h.\nAnswer: -2*(h + 1)*(h + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 347646389 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -84 - d**2 + 86 - 2*d**2 + d**2 - d**2 + d**2 + (d + 3*d - 3*d)*(4*d - 4*d - 2*d) - d + d - 2*d**2 + d - d + d**2.\nAnswer: -5*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**2 + d. Let g be j(-2). Let v be -2 + g - (-40)\/1. Suppose 0 = -4*x + 3*s + v, 3*x + s - 2*s = 30. What are the prime factors of x?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 845.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/3*(-4930)\/580.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 456 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -3460*s. Let c(i) = -i. Calculate p(c(t)).\nAnswer: 3460*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 46582998 to the nearest integer?\nAnswer: 360","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 39\/(-18) + 6\/4. Which is the third biggest value? (a) q (b) 4\/9 (c) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 + -1. Let o = -96765 - -290297\/3. What is w in 1\/9*w**4 + 1\/9 - 4\/9*w**k + o*w**2 - 4\/9*w = 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(40)*-5)\/(sqrt(8) - (sqrt(72) - (sqrt(72) - (sqrt(72) + sqrt(72)*3)))) + (3*(0 + -1*(sqrt(500) + 0)))**2.\nAnswer: 10*sqrt(5)\/11 + 4500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 764, 2005, 3244, 4481, 5716?\n\"Answer: -m**2 + 1244*m - 479","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/41? (a) -5 (b) -0.5 (c) -2 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*t + 49 = 73. Suppose 0 = -y - t, -5*y + 37 = 2*g - 16. Calculate the highest common divisor of g and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10146 - -50726\/5. Which is the nearest to -24? (a) 1 (b) s (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 2*l**2 + 2*l - 2. Let s be x(1). Suppose -3*n + 5 = 8. Put -8, n, s in descending order.\nAnswer: s, n, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h. Let o be 6\/(-3)*(-2)\/(-4). Let g be c(o). Calculate the remainder when 4 is divided by 3*(0 + g) - 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 70, -2, -163?\nAnswer: -163","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2057) + sqrt(2057) + -2*(sqrt(2057)*1 - sqrt(2057)) - (-4 + sqrt(2057)*2))**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -218*p + 219*p + 2*b, b = -3*p + 6 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1069*(5 + -2 - 4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 2 and 137.2.\nAnswer: 139.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -2*g**3 - 6*g**2 + 8*g. Let k(q) = -q**3 - 5*q**2 + 7*q. Suppose -2 - 4 = u + 3*a, 4*a = -12. Let r = -9 + u. Give r*k(v) + 5*n(v).\nAnswer: -4*v**3 - 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x*x**4*x*x\/x**6*x**(-1\/6)\/(x*(x\/x**(-4))\/x*x) assuming x is positive.\nAnswer: x**(-31\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -351 - -151. What is s rounded to the nearest one hundred?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the third derivative of l**7\/3360 - l**5\/160 + l**4\/48 + 14*l**3\/3 + 4*l**2. Let m(z) be the first derivative of b(z). What is w in m(w) = 0?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 3*j**2 + 5*j. Let s(m) = 35 + 6*m**2 + 11*m - 35. Let h(y) = -4*s(y) + 9*v(y). Find the second derivative of h(x) wrt x.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -388 - -387.581. Let u = w - -0.319. What is the closest to u in 1\/5, 3, -2?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**(3\/4)*v)\/v)**28 assuming v is positive.\nAnswer: v**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 8778.577 millennia?\nAnswer: 105342924","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from mpvpzzmtb.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -162*k - 1004 = -61*k + 1117 for k.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -3*l**2. Let j(y) be the third derivative of -y**8\/5040 - y**5\/10 - 6*y**2. Let n(t) be the third derivative of j(t). Calculate q(n(k)).\nAnswer: -48*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*j - 449*j**2 - 17*j + 446*j**2 + 8*j - 5*j**3 as o*j + l*j**3 + a*j**2 + g and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**2 + 29*k + 27. Let m be z(23). Suppose m = -5*g + 630. Let p = -73 + g. Solve 6*q = 2*q + p for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9320.37474 + -9415.376. Let p = r - -95. Round p to four dps.\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -19406 - -19442. Solve p = -64*q - 28 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 31\/5 of a litre?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -488 + 483.71. Let i = -4.5 - f. Let d = i + 0.21000018. Round d to seven decimal places.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-4*(sqrt(2205)*-1 - sqrt(2205)) + sqrt(2205) - sqrt(2205)) - (-3 + sqrt(180) + -3 + sqrt(135)\/sqrt(3)*1))**2.\nAnswer: 11988*sqrt(5) + 4990041","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the third derivative of w**4\/12 - w**3 - w**2 + 46. Let x be ((-24)\/28)\/((-1)\/7). Calculate v(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32482 = -9*i + 3*c + 32548, -4*c - 60 = -5*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 55 and 935.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sum -690662866 and 7.\nAnswer: -690662859","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37*-0.321.\nAnswer: -11.877","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.21 + 0.01. Let d = -0.2 + 0.1. Let x = f - d. Sort 2\/5, x, 0.5 in decreasing order.\nAnswer: 0.5, 2\/5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-65)\/(-13))\/(-115)*-1127?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 80731 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*t + 192 = 1152. Is t a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6578806, 13157605, 19736404, 26315203, 32894002, 39472801?\nAnswer: 46051600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 49 and -5548.\nAnswer: -271852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a + 2*a**4 - a)*(210*a - 2 - 148*a - 180*a).\nAnswer: -236*a**5 - 4*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -62, 7, -5, 2.11, 0.1?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 652017 to the power of 1\/3, to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 30934 (base 11) in base 8?\nAnswer: 127771","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 92 and 159953408?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 7485056 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.37? (a) -156\/11 (b) -0.1 (c) -4\/9 (d) -2 (e) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3401 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 - 309115?\nAnswer: -309115.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2724*l*r**5 + l*r**3 + 9*l*r + l + 8*r**2 wrt r.\nAnswer: -163440*l*r**2 + 6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9936172 hours to milliseconds.\nAnswer: 3577021.92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -212026*k**5 + 2*k + 78397.\nAnswer: -4240520*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*g + g - 4*g)*(-5 + 8 + 12 + 5).\nAnswer: 40*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 5*b**3 + 6*b**2 + 7*b - 6. Let p(w) = 3*w**2 + 2*w - 2*w**2 - 8*w + 5 - 4*w**3 - 6*w**2. Give 6*p(z) + 5*u(z).\nAnswer: z**3 - z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11000001100000100000100 + -1000?\nAnswer: -11000001100000100001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 44*n. Let g(u) = -24*u - 35*u - 29*u - 27*u + 111*u. Let w(t) = 2*t**2 + 9*t - 13. Let k be w(-9). Give k*g(h) + 6*o(h).\nAnswer: -8*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 + 10163430612?\nAnswer: 10163430605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03978 rounded to 1 decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 196440826?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qcoo when four letters picked without replacement from {c: 1, q: 5, o: 8, d: 4}.\nAnswer: 7\/1836","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes before 6:15 PM?\nAnswer: 3:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1029 a factor of 4431814?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/5 + 69\/15. Let v(n) = -5*n - 5. Let k(f) be the third derivative of -f**2 + 0 + 1\/4*f**4 + 0*f + f**3. Determine l*k(u) + 5*v(u).\nAnswer: -u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1144.8 - -1145. Let t be (-1)\/(1*(-2 - 1)). Which is the second smallest value? (a) t (b) w (c) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -151*y + 76*y + 74*y.\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4683785*b**3 - 3130626*b**2.\nAnswer: 28102710","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o - r = 0, -3*o + o = 4*r - 10 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 - -7. Let y be (-3)\/((-15)\/(-8))*u. What are the prime factors of y\/(-24) + 118\/6?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 12*t**3 - 8*t**2 - 22*t + 4. What is v(-3)?\nAnswer: -326","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*a - 4*a + 5*a + 0*a + 2*a - a + (a + 2 - 2)*(2 - 2 + 2) + 5*a - a - 3*a + 3*a + 2 - 2*a - 1 - 3*a + 0*a + 0*a.\nAnswer: 10*a + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -3013691, -3013716, -3013791, -3013940, -3014187?\n\"Answer: -4*w**3 - w**2 + 6*w - 3013692","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1169.3 + 1174.3. Let k = -10 - -10. Sort m, k, 59 in increasing order.\nAnswer: k, m, 59","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (t + 1 - 1)*((-2*t + t + 0*t)*(-6 + 3 + 1) - 2*t + 4*t - t + (150*t - 20*t + 123*t)*(2 + 0 - 1) + 0*t + t - 4*t) to f + n*t**2 + g*t and give n.\nAnswer: 253","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -39*s**3 + 2*s**2 + s. Let y be v(-1). Suppose -6*d + y = -2*d. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**2 - 2*k - 1. Let d be (-22)\/6 + 4\/6. Suppose 5*z - 5 = 5. Let q(w) = -2 - 3*w**z - w + 2*w - 5*w. Determine d*q(f) + 7*b(f).\nAnswer: 2*f**2 - 2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 5*r + 5*b = -73, r - 2*b + 6 = 0. Let p be (r\/14)\/((-2)\/7). Suppose 9 - p = 5*v. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -222, -208, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*k + 3*k - 5*k)*(-1 - 1 - 4) + 2*k + 0*k + 3*k)*(-3 - 2 + 4)*(28*k + 26 - 26).\nAnswer: -476*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15101*0.01768.\nAnswer: 266.98568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + n = 16, -3*p - 4*n = -20 - 5. Let g = -13 - -19. Calculate the smallest common multiple of g and 1\/(1*p\/21).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40287490 to the power of 1\/2, to the nearest integer?\nAnswer: 6347","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -363 divided by -330459.\nAnswer: 121\/110153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10337, -14504, -18671, -22838?\nAnswer: -27005","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -202694 or -2229632\/11?\nAnswer: -202694","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11ade5 (base 16) to base 8.\nAnswer: -4326745","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-49158)\/49158*2*1\/50.\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24335 is divided by 208.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/3356 and 149\/18?\nAnswer: 30204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**(-2\/7))**38 assuming a is positive.\nAnswer: a**(342\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 3*q + 44. Let b = -3 - q. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 25 + -37 + 32 + -105\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 14*j**2 - j + 2. Calculate b(1).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-35)\/60)\/(1\/(32\/(-8)))?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -1722*d - 1. Let k be f(-2). Let p = k + -1596. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + (-12 - (-9 - 3))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2566.0336 + -2566. Round a to 2 dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d*d*d**(-5)*(d*d\/(d*d\/(d\/d**(3\/7)))*d)\/d)\/(d**(6\/7)\/(d*d*d**(2\/9)*d)))**49 assuming d is positive.\nAnswer: d**(413\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 31*v**2 + v + 1. Let g(r) = r**3 + r. Let j be g(3). Suppose 5*k - j = 10. Calculate the remainder when x(-1) is divided by k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 5*o + 5*j, 7 = o + 3*j + 1. Let t be -1 + (o\/(-1))\/(-3). What is the smallest common multiple of (10\/5)\/(t\/4) and 3?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49085181?\nAnswer: 3, 1091, 4999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 119?\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xzrb when four letters picked without replacement from {e: 5, x: 5, b: 3, r: 1, z: 1}.\nAnswer: 1\/2184","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - (9 - (5 - -7))) + -3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 8 = 0, -7*h + 3*h - 16 = -4*j. Suppose -j*t - 4*s + 82 + 324 = 0, 0 = 4*t - 3*s - 867. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -320, -2, -1, 5, 4.\nAnswer: -320, -2, -1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f**4 + f**4 + 0*f**4)*(-5 - 10 + 3).\nAnswer: -12*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 7*n + 5 - 5*n.\nAnswer: -12*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 3) + 8 - -7 - (-11 - -32)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*x**2 + 5*x**2 + 0*x**2 - 5*x**2.\nAnswer: -7*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-25))\/((-18)\/5 - (191 - 194)).\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 498189 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the second derivative of u**5\/20 + 5*u**4\/12 + 5*u**3\/6 + 4*u**2 + 2*u. Let j be t(-4). Solve 0 = 5*n - 4*k + 9, j*n + k - 2*k = -16 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 - (-3 - -2)*1. Suppose l = w - 4 + 1. Suppose 8*n - w*n = -15. Which is the closest to -0.3? (a) n (b) 4 (c) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*r = -0 - 27. Solve -y + 45 = -5*d + r*y, 5 = y for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2935, -4831, -6729, -8629, -10531?\nAnswer: -12435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 159590 to the nearest 10000.\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -99 in -110.3, 0.6, 2.5?\nAnswer: -110.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q - 4*f = -59, 873*q - 21 = 875*q - f for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + 2 + -2 - (101 + -94).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 112717 to the power of 1\/3, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0007487032202 to five dps.\nAnswer: -0.00075","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o*o**7*o)*o)**(-2\/31) assuming o is positive.\nAnswer: o**(14\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -8895, -8896, -8897, -8898, -8899?\n\"Answer: -p - 8894","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 81.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 56\/27 and 133\/21060.\nAnswer: 21060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 601 is divided by 577?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 203294303\/36 - 5647647. Let j = 586 + v. Calculate the common denominator of -17\/18 and j.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 640 = -j - 3*x, -j - 4*x + 145 = 0. Let n = -130 + j. Let a = 3 + n. Put 4, a, -6 in decreasing order.\nAnswer: 4, a, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i**3\/17 + 54*i**2\/17 - 364*i\/17 + 720\/17 = 0 for i.\nAnswer: 4, 5, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 3*h + u, -4*u + 0 = -h - 12. Let n(s) = s**3 - 2*s - 2. Let j be n(h). Let b = j - -35. Round b to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -336302439, -336302437, -336302435, -336302433, -336302431, -336302429?\n\"Answer: 2*m - 336302441","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13791145 divided by -2758229.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 795 is divided by 25?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -s**5 - 90*s**3 - 731*s**2 + 2 wrt s.\nAnswer: -60*s**2 - 540","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -113*r**3 + 53*r**3 + 58*r**3.\nAnswer: -2*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z + 12*z - 119. Suppose -z*l + 11*l - 1260 = -2*k, 1260 = 4*l + 4*k. Does 15 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 235 - 513 = -1069*t + 2533 + 2534 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.1 times -1.63?\nAnswer: 1.793","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10*m**4*q**2 - 15*m**3*q**2 + 611*m**2*q**2 wrt m?\nAnswer: 240*m*q**2 - 90*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**3 - 3*t**2 - 24*t - 9. Give c(6).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11 - 9. Suppose 3*n + 4 = -v, -2*v = 5*n - 4*v + 14. Let m = t - n. Solve -a = m*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**3 + k**2 - k + 1. Let v(d) = 4*d**3 + d**2 + 5*d - 8. Let w(f) = -v(f) - 3*z(f). What is w(-4)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 877, 3412, 7637, 13552, 21157, 30452?\nAnswer: 41437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*t**2 + 8*t**2 - 15*t**2.\nAnswer: -14*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 7, -1, 0, 18, -0.1075?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 5*i**2 - 10*i + 512. Let f(s) = 2*s**2 - 4*s + 170. Calculate 8*f(w) - 3*o(w).\nAnswer: w**2 - 2*w - 176","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10 + 8)\/(0 + -5)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**2 + 3*z. Let c(a) = -4*a**2 - 13*a. Let y(s) = 6*c(s) + 26*u(s). Let x(n) = n**2. Calculate x(y(l)).\nAnswer: 4*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 54*h = 1006835. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 114*u - 271*u + 118*u + 50*u.\nAnswer: 11*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 35, 109, 183, 257, 331, 405?\nAnswer: 479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -67*f + 1911606 + 1095555. What are the prime factors of f?\nAnswer: 3, 4987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00019718 rounded to 6 decimal places?\nAnswer: -0.000197","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -24.7732983 to two dps.\nAnswer: -24.77","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.041 + 0.0365. Round h to 3 decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 3*b + 0*b = -43, -5*b - 19 = -3*v. Let c(g) = -g**2 + 9*g - 6. Let x be c(v). Suppose x*n - 72 = 542. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmymsqmmmmmmsmm. What is prob of picking 2 m and 1 y?\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 10*s = 85. Let t be (-11800)\/30*(-6)\/4*1. Let p = -587 + t. Solve 0*c - 24 = -3*v + p*c, -4*v = -c - s for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v + 5*d - 7, -5*v - 2*d = -4*d - 57. Let s(x) = 5 + v - 21 + 9*x + 2*x**2. Is s(-8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.86560572 rounded to four decimal places?\nAnswer: 1.8656","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 985096 and 28469.\nAnswer: 343","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -909 - -908.95. Which is the third biggest value? (a) u (b) -5 (c) -5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 559, -0.2, -0.5?\nAnswer: 559","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - 26) + (-10 - (-17 + 14 + -19))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*d*h + 7*d - 2763*h - 3913 wrt h.\nAnswer: -3*d - 2763","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, v: 2, o: 1, c: 1}. Give prob of picking 1 c, 1 o, and 2 v.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4384, 8946, 13508, 18070, 22632?\nAnswer: 27194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.0154447*-4\nAnswer: -0.0617788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in -13, 2\/7, 0.5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -2*w + 9. Determine m(11).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -16011726*n**2. Let j(u) = 2*u. What is g(j(o))?\nAnswer: -64046904*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2120.994621 - -2121. Round v to 3 dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 4*q**3 - 910544*q**2 + 1821076*q - 910536 = 0.\nAnswer: 1, 227634","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**3 + 5*u**2 + 2*u + 3. Determine k(-2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5153, 10370, 15585, 20798, 26009?\nAnswer: 31218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -5*u + 707, 10*b = 2*u + 9*b - 281. Suppose 26*w - 8542 = u. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8849 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 3*r**3 + r**2 - r + 2. Let n(t) = t**3 - 4*t**2 + 2*t - 2. Let w be n(4). Suppose -23*o = -21*o - w. Is k(o) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 824?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10435*h**3 - 1863*h**3 - 13499*h**3.\nAnswer: -25797*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 6851, 5 in descending order.\nAnswer: 6851, 5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:24 PM and 6:37 PM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*t + a = -30*t + 11, 2*a = -5*t - 4 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 187729 is divided by 19.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 992 - -4?\nAnswer: 996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*b - 761 + 2321. Calculate the greatest common factor of b and 52.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 14*v**2 - v + 2. Let q = 42 + -20. Calculate the remainder when p(-3) is divided by q.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (105508\/(-26377))\/(((-3)\/((-18)\/(-4)))\/(1\/12)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 minus 270.9949?\nAnswer: -272.9949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 39436730 rounded to the nearest 1000000?\nAnswer: 39000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/3*u**4 + 1\/3 + 0*u - 2\/3*u**2 + 0*u**3.\nAnswer: (u - 1)**2*(u + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 26 = u + 31, 0 = u - 5*l + 29. Let i be (308\/76)\/1 + -4. Is i less than or equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3 + 27\/7)*28. Suppose -d - 2*d = -576. What is the highest common factor of d and j?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -4*y. Let f(l) = -l**2 + 5*l + 4. Let r be 22\/4 - (-1)\/(-2). Let j be f(r). Which is the third smallest value? (a) y (b) -0.1 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 2*l**2 + 9*l - 4. Let m be g(-5). Let w be 7 - 3\/(-1)*-2. What is the tens digit of w*(m - 2) - (-221 - 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 340 + -327. Suppose -26175 = -4*w - 3*x, o*x + 20 = 17*x. What is w rounded to the nearest one hundred?\nAnswer: 6500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 0*t**2 - t**2 - 4*t + t - 2. Let c(v) = 3*v - 6. Let q be c(4). Let l = 3 - q. What is r(l)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5269.407185 less than -0.2?\nAnswer: 5269.207185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.97 + -0.03. Let v = 0.05 + 0.05. Let f = -0.1 - -0.6. Which is the nearest to v? (a) f (b) 3 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-4)*o**(-1))\/((o**7\/o)\/(o\/(o**6\/o))) assuming o is positive.\nAnswer: o**(-15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 231544\/149 - 1554. What is the second biggest value in -4, s, -3\/5, 1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2740 in -18, -1\/5, -14, 3, 1\/6, 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -152*m**3 + 293*m**3 + 4*m - 6 - 133*m**3 to d*m**2 + p*m**3 + h*m + f and give f.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u**2 + 2*u**2 + 8*u**2)*(-2 + 1 + 2) + 4*u**2 - 5*u**2 + 6*u**2.\nAnswer: 12*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 300429 divided by 431\nAnswer: 300429\/431","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3\/5 (b) -2 (c) -5 (d) 39 (e) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 5*s - 15 = -k, -k = -s + 1. Suppose 0 = b - 3*y - 235, -k*y - y = -5*b + 1131. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 9, -1\/5, 7, -231, 0, 5\/2?\nAnswer: -231","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s + 30, -4*s + 12658 = 5*n - 15513. What are the prime factors of n?\nAnswer: 5639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -34 * -790083\nAnswer: 26862822","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*(t*t**(2\/17))\/t*t**(2\/5)*(t**(-2)\/t)**(-2\/25) assuming t is positive.\nAnswer: t**(747\/425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*r = -22*r - 420. What is the remainder when r - 17 - (-2 + -52) is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 5*v = 87239, -4*d = -51*v + 48*v - 174443. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 40 and -0.01.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 3*f - 4. Let g be (8 - (-148)\/(-16))*72\/(-30). What is q in -2*q**4 - 5*q**g + 6*q**f - 8*q**4 + 2*q**2 + 3*q**5 = 0?\nAnswer: -1, 0, 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 29*i**3 - 3*i**2 + 3*i - 1. Suppose -x = 3*x - b, -3*b = x - 13. What are the prime factors of s(x)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (6 - 4)\/((-2)\/(-4)). Suppose a*y - 80 = -0*y. Is 13 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2943 (base 10) to base 6.\nAnswer: -21343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhyyydyddhddhdd. What is prob of sequence yhhy?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(242) + sqrt(242)*-1 + 4 - -1*sqrt(242)*1)*6 + -1)**2.\nAnswer: 3036*sqrt(2) + 9241","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((5 - 3) + -1 - 5 - -8) + -13?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = 2*h - 3412, -15*m + 1681 = h - 18*m. Is 12 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -103 or -413\/4?\nAnswer: -413\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 + 2 = -2*c - 2*j, 3*c = 2*j + 28. Let p(f) = f**2 - 9*f + 10. Let v be p(c). Find the common denominator of 218\/32 - (0 + v) and 77\/2.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 126191.\nAnswer: 13, 17, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - j = -5*v + 35243, -4*v = -3*j + 35207. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*n**2 - 53*n**2 - 2*n - 82*n**2 - 53*n**2 - 167*n**2 to v*n + s*n**2 + b and give s.\nAnswer: -369","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16\/(-33) + 14\/(-77))\/(471\/(-11304))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*2*((sqrt(176)*2*-4 - 6*(-1 + sqrt(176))) + 4)**2.\nAnswer: -207576 + 6720*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -19*l + 11. Let i(j) = -21*j**2 + 172*j - 36. Let s be i(8). Let b(p) = 10*p - 6. Give s*g(z) - 7*b(z).\nAnswer: 6*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve w + b = 47, 6453*b - 6457*b + 32 = w for w.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 224835 to the power of 1\/2, to the nearest integer?\nAnswer: 474","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 18209163631 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 213 = a - 8. Is a a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r + 68*z + 820 = 2*r + r, 13*r + 40 = 8*r - 5*z for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 21 - 85\/4. Let o = 1577\/5 + -315. What is the third biggest value in o, -2\/7, h, -0.4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 140 - 2*o - 22 - o + 2*o - 143. Determine x(-7).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -3*c**2. Let a(x) = -3*x + 2386. Determine a(q(p)).\nAnswer: 9*p**2 + 2386","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**(2\/9))**8\/(y\/(y**(-4)*y*y*y))**(-24))**(-29) assuming y is positive.\nAnswer: y**(-14152\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -35*b**2*g**4 - 30*b**2 + 2*b*g**4 - 3 wrt g.\nAnswer: -140*b**2*g**3 + 8*b*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 158049579?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3552962 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 4, r: 1, f: 2, t: 7}. What is prob of sequence ffi?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 30809.009 plus -1792563?\nAnswer: -1761753.991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30574 = 1325*r + 5399 for r.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 12447*t**2 + 11*t - 11. Is j(3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*p**3 + 27*p**2 + 522*p - 405.\nAnswer: -(p - 15)*(p + 9)*(4*p - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(1331)*2)**2.\nAnswer: 132*sqrt(11) + 5333","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*t + 4*q, t + 5*q + 114 - 100 = 0. Solve -2*p + t = 2*m, 51*m = 55*m + 3*p - 28 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*v + 0*v - 5*v + v - 3*v + 3*v + v - 7*v + 4*v + (-4*v + 4*v - 2*v)*(-4 + 1 + 5) + v - 3 + 3 + 5*v - v - 2*v + v - 3 + 3 + 5*v - 2*v - 4*v.\nAnswer: -15*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13980 - 340*u - 28981 + 15002.\nAnswer: -340*u + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d**2 - 5805*d - 5423808 = 0. Calculate d.\nAnswer: -689, 2624","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**2 + 3*s - 4*s + 0*s. Let t be l(0). Suppose -2*d - v = 8400000, 3*v + v = t. What is d rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes before 12:07 AM?\nAnswer: 5:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4 + 44\/10)*-10. Suppose 4*a = -4*a + 80. Let s = 393 + -394. Put s, d, a in descending order.\nAnswer: a, s, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 4, -2\/15.\nAnswer: -2\/15, 0.3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 58411 at most as big as -12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -107 bigger than -108?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/6)\/(5*(-2)\/(-12)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*p + 32 - 62 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1795?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*1*(-12)\/4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:58 PM and 1:07 AM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -80, -1, 74 in decreasing order.\nAnswer: 74, -1, -80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10788217 divided by -11.\nAnswer: -980747","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 7*t**2 - 64*t + 5. Let b be l(-4). Let i = b - 372. Solve 4*h + 21 = m, -h - i = -2*h - m for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 262 a factor of 2211018?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 5*j - 12, -2*j - j - 50 = -5*f. List the prime factors of f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 2867?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**2 + 34*r - 113. Give a(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 0*b - 4*b - 3)*(226 - 3*b - 228 - 2*b) to c*b + x*b**2 + d and give c.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 4*f**2 + 2*f + 2 - 5*f**2 + 4*f + 0. Let m be z(5). What is the greatest common divisor of m and 56?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -15 + 1?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14 - -14. Solve 3*t + 2*t - 10 = v for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbb. Give prob of sequence bbb.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-22)\/(2*-1)*6. Suppose y + 2*y + c = 0. Let r = -14 - y. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 73150 and 3325.\nAnswer: 73150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 - 2 = 5*j - 2*t + 154, -5 = -2*t - 1 for j.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53*t**3 - 24*t + 24*t - 14*t**3.\nAnswer: -67*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9 + -11. Let p = 45 + -48. Sort n, -4, p in ascending order.\nAnswer: -4, p, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6013488 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 + 5 + -6 + -21.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 4*w**3 - 4*w**2 + 8*w + 8. Let j(x) = -9*x**3 + 7*x**2 - 17*x - 16. Let z(t) = 3*j(t) + 7*u(t). Let v = 5 + 1. What are the prime factors of z(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -153*g + 126 = -89*g - 82*g for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 136*d**3 - 143*d**2?\nAnswer: 816","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c\/((c*(c**6\/c)\/c)\/c)*c)\/c)\/(c*c**(6\/19))*((c\/(c*c**(-1\/8)))\/c)\/c**(1\/25))**8 assuming c is positive.\nAnswer: c**(-16077\/475)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2) - (sqrt(2) + -3*sqrt(32) + sqrt(2))**2 - (sqrt(2) - -2*sqrt(18)).\nAnswer: -200 - 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4.44 - -4.3866. Let g = k - -0.5534. Which is the fourth smallest value? (a) g (b) 0.9 (c) 0.06 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 times -46?\nAnswer: -7360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1091.1 times -5753\nAnswer: 6277098.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(200) - (sqrt(10)\/(sqrt(5) - sqrt(20)) - sqrt(2)).\nAnswer: -8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15\/2 + 73\/10. Let r be 39\/403*2\/(-3). Let s = r + 35\/62. Which is the closest to s? (a) 0 (b) g (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14413 = -471*q + 968*q for q.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -8 and 1.2.\nAnswer: -9.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**2 + 78*m + 1032. Give y(-61).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-17)\/((-3)\/(-12) - (-5)\/(-4)). Suppose -6*h + t = 5. Find the third derivative of -11*f - f**h - 4*f**6 + 7*f + 4*f wrt f.\nAnswer: -480*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -4*x + x. Let s(z) = 2*z - 3 + x - 4. Let c(h) be the third derivative of -h**4\/6 + 2*h**3\/3 + h**2. What is -2*c(q) - 5*s(q)?\nAnswer: -2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -2451 plus 0.4?\nAnswer: -2450.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1023335 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the third derivative of 19*j**4\/24 + 2*j**3\/3 - j**2. Let v be t(4). Calculate the least common multiple of (3\/2)\/(6\/v) and 2.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j - 44 = -4*v, -5*j + 125 = 6*v + 63 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -793, -1602, -2411, -3220, -4029?\nAnswer: -4838","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -296*r - 2696 = -66*r + 107*r for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -142 - 338 = -4*f. Calculate the greatest common divisor of 24 and f.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 o, and 2 f when four letters picked without replacement from otoafpobbataoaoof.\nAnswer: 6\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 8*5265\/2100 - (27 + -7)?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/30693890 and 57\/1060.\nAnswer: 61387780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:59 AM and 4:00 PM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0*((-2)\/8)\/((-78)\/(-156)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q - 1299837 = -70*q. List the prime factors of q.\nAnswer: 3, 17, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n - 5*g + 43 = 3, -n + 7*g - 56 = 3*n - 0*g for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10 - 5. Suppose -s = -o - 9, 5*o - c - 2 = s. List the prime factors of s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -708*u**2 + 12*u. Let g(n) = -3*n**2. Determine l(g(q)).\nAnswer: -6372*q**4 - 36*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**2 + 7*l + 5. Let b be r(6). Is ((-11)\/b)\/((-2)\/1246) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*a = -1157 + 1121. What are the prime factors of ((-78)\/a + -2)\/((-32)\/384)?\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q = 2*p + 74 - 86, -2*p - 23 = 3*q for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**(5\/6)*g)\/g)**38*(g\/g**(-3\/7))\/((g\/g**(1\/2))\/g) assuming g is positive.\nAnswer: g**(347\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**3 - 4*l**2 - 4*l - 4. Let o be v(-4). Let z be 174\/o - (-3)\/(-6). Let g = z + -11. What is the third smallest value in 5, g, 0.4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 - 45 = -14*n. Calculate the least common multiple of 8 and n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4661\/1958 + -221\/89. Let r = -2\/67081 - 3286849\/4024860. Calculate the common denominator of r and p.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ojiinwnjoziw. Give prob of picking 1 n, 2 j, and 1 i.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -42 + 2 + (-751 - -797) - (0 - (-1 + 11))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from edgubdrr. What is prob of sequence db?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 731009 is divided by 731005?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.29 + 0.19. Let c = 10\/3 + -3. What is the closest to c in 3, m, -1\/4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 3084024\nAnswer: 1\/1542012","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 785 is divided by ((-42)\/(-4) + -10)*-18 - -27?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -6 + 6 + (0 - 2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 11\/4 of a meter?\nAnswer: 275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - (-1533)\/245 - 2\/5?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**2 - 1. Let c be v(-3). What is the units digit of 2\/c - (-93)\/12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1, 3, 10.50076, -1 in descending order.\nAnswer: 10.50076, 4, 3, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 o when two letters picked without replacement from wrkwesosowo?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**3 + 15*z**2 - 27*z + 134. Give s(16).\nAnswer: -554","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -306 = -11*w - 23*w. What is the lowest common multiple of 67 and w?\nAnswer: 603","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**3 + 5*z**2 - 8*z - 2. Suppose -4*t = -4*c - 12, t + 2 = 2*t. Let q be (-9 - 3)*(c + 0). Suppose a - 3*a - q = 0. Calculate f(a).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**3 - j**2 + 3. Let r be i(0). Let x be 2*3 + (-2)\/(-1). Suppose -4*q = x, -3*k - 4*q - 10 = 1. Which is smaller: r or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - 50 = -4*c, 2*s + 3*s = 3*c - 18 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n - 6 = 2 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 plus 0.231?\nAnswer: 3.231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 265*k**2 + 5*k - 85. Let c(f) = -f**2 - f + 5. Let j(z) = -6*c(z) - t(z). Find the second derivative of j(o) wrt o.\nAnswer: -518","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -149 = 71*d - 86*d + 121 for d.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3550 and 785970.\nAnswer: 710","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 484364 is divided by 173?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 2 = 0, 5*x - 1 = -2*h + 13. Suppose 0*d - 4*w - 60 = -4*d, 5*w + 30 = 0. Find the third derivative of -12*q**2 - h*q**2 + 8*q**5 + d*q**2 wrt q.\nAnswer: 480*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -210, -217, -214, -195, -154?\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**3 - 18*s**2 - 1149*s - 90. Is 15 a factor of m(-26)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2874 is divided by 863.\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 2*o - 19. Let m = 19 + -8. Suppose 3 + m = 7*h. Solve -h*z + o*z = 8 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 19733825?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -7*w - 14. Let t(d) = -6*d - 13. Let f(b) = -6*t(b) + 5*z(b). Let h be f(-6). Sort -2, h, -1 in descending order.\nAnswer: h, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 132158.7ml in litres?\nAnswer: 132.1587","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 298612687 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 194 and 186434?\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -197.24 - -20.734.\nAnswer: -176.506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 13*x - 12*x + 126, y + 2*x - 23 = 0. Suppose i + 4*i - y = 0, 45 = 4*p + i. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -717612, -717611, -717610?\n\"Answer: v - 717613","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 14417206?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*b + 4*b - 1360*b**2 + 7*b + 5*b - 24*b.\nAnswer: -1360*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 3*o**3 - 26*o**2 + 5*o + 95. Determine m(8).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (676\/(-39))\/26 + (-25)\/(-24).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y + 28 = 3 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:11 PM and 5:15 AM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the second derivative of c**7\/42 + c**6\/8 + c**5\/6 - 2*c**2 - c. Let z(k) be the first derivative of p(k). Factor z(a).\nAnswer: 5*a**2*(a + 1)*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -3*l - 1. Suppose 22 = 9*y - 104. Let w(g) = -10*g - 4. Give y*v(k) - 4*w(k).\nAnswer: -2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 6241 > 6243?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10 - 13. Let y be 8\/80 - (-2)\/5. Let p = -4.03 - -0.03. Which is the closest to y? (a) p (b) 0.1 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 2*z + 5. Suppose 4*c - 8 = 16. Suppose 3*r + c = -0. Let d(k) = k - 3. Let g(y) = 1. Let s(o) = d(o) + 5*g(o). Give r*w(n) + 5*s(n).\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -3*s - 5, 0 = 5*q - 4*s + 6 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 8, -2\/7, 135, -3\/8, 0?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-42)\/15)\/(12\/20 + -1). Solve 2*z - 14 = a, a + a = -3*z + k for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -630005*m + 17. Let d(v) = 210002*v - 6. Let o(t) = -8*d(t) - 3*l(t). Let s be o(-3). What is s rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 - -4. Let w(s) = 0*s - 6*s + 15*s + 4 - 3*s. Let y(h) = 5*h + 3. What is p*w(a) - 5*y(a)?\nAnswer: -a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 368 * 49.\nAnswer: 18032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x + 3*m = -157 + 856, -4*m = -3*x + 366. Calculate the remainder when 244 is divided by x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/981 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 231*n**3 + 229*n**2 - 1388*n + 12.\nAnswer: (n - 2)*(n + 3)*(231*n - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - 17 - 7612\/(-759))\/((-6)\/(-9))?\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 2*u = -22, 5*u + 15 = f + 4*f. Differentiate -6 + f*h**2 + 8 + 5 + 4*h**2 with respect to h.\nAnswer: 16*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 239.2 + -239. Sort -2\/7, 2\/7, f in increasing order.\nAnswer: -2\/7, f, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 268*o**2 - 306*o.\nAnswer: 536","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -58\/165 + 8\/15. Let p = 9.6 - 10. Let r = 3808 + -3810. Which is the third biggest value? (a) -3\/4 (b) p (c) n (d) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(5*(sqrt(242) + -1 - sqrt(242)))**2*3 + 5)*2.\nAnswer: 760","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1026)\/(-15) - 6\/15. Suppose -2*q + m = -q. What is the tens digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59151 is divided by 29236?\nAnswer: 679","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 104 a factor of 215937?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/104 and -95\/12.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m + 36. Let r(u) = 9*u. What is r(l(z))?\nAnswer: -9*z + 324","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.03 - 8.97. Let v = 56 - 48. Let g = v + c. Sort g, 4, 1 in descending order.\nAnswer: 4, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -144*m + 3*m**2 + 144*m.\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 89 divide 3204?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -185.7 + 186. Let w = 0 + -6. Let t(g) = -g - 3. Let u be t(w). Which is the biggest value? (a) p (b) 5 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 77873868 is divided by 46.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o**4 + 1506*o**3 - 15297*o**2 + 32256*o = 0.\nAnswer: -512, 0, 3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (27 - 82) + 128 + -83?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the second derivative of 15*o**7\/14 - 22*o**6\/5 - 11*o**5\/4 + 71*o**4\/6 - 2*o**3\/3 - 12*o**2 - 2*o. Let n(v) = 0. Calculate v.\nAnswer: -1, -2\/5, 2\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19*x**4 + 15*x**4 - 31*x**4)*(-6*x - 3*x + 3*x).\nAnswer: -18*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**2 - 4*k + 9. Let x be m(-5). Solve -4*q + x*h = 5*h - 11, -19 = -5*q + 4*h for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.300087287 to four decimal places.\nAnswer: 0.3001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 83*l**3*q**3 - l**3*q + 6*l**3 + 2*l**2*q**4 - 14*l*q**2 - q**4 wrt q.\nAnswer: 498*l**3 + 48*l**2*q - 24*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8965 and 55.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 26 + 109?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 930 to the nearest one thousand.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -15*k*w**2 - 19*k*w - 24279*k + 26747*w**2 - 2*w wrt w?\nAnswer: -30*k + 53494","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2\/11, -2\/7, 2\/7, 1?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*l = -32*l + 4*z + 26, 0 = 3*l + 2*z - 23. What is the smallest common multiple of l and (4 - 3 - 2)\/(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -504*s - 610. Calculate the remainder when r(-6) is divided by 151.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -157*v + 155*v + 2*q = 20, 4*v = -5*q + 14 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0141463307 to 6 decimal places.\nAnswer: -0.014146","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -m + 264 - 290, -l + 3*m = -22. Let q(a) = 2 - 2 + a**2 - 6*a. Determine q(l).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*sqrt(539)*1 + 4 - (sqrt(121) + (sqrt(121) - -4*1*sqrt(121)))\/(2*sqrt(44))) + -1)**2.\nAnswer: 201*sqrt(11) + 49415\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 54 and 262.\nAnswer: 7074","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 258409066?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1b (base 16) in base 9?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-4532)\/(-1) + (11 - 14).\nAnswer: 7, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -177241 = 5*l - 177106 for l.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m = 2*m. Suppose -5*g + 5 = m, 3*g + g = -2*p + 6. Is 0 + -1 - (-35 + p) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 36\/16235639?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -230 (base 4) to base 5.\nAnswer: -134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times -0.3152\nAnswer: 0.06304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 17*j + 29. What is the units digit of w(12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c. Let o be (-12)\/(-16)*(5 - 1). Let g(i) = i**3 - 4*i**2 - i - 1. Let k be g(4). Let v(s) = -s. Determine k*v(t) + o*j(t).\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 17732*c - 16*c**2 - 8900*c - 8869*c - 2*c**3 in the form y + a*c + b*c**3 + n*c**2 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000034094 to 7 decimal places.\nAnswer: -0.0000341","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -c - 5*c + 2*c + (-4 + 3 + 4)*(2*c + 0*c - c).\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -476c7 + -1?\nAnswer: -476c8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1910386?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 6 = x. Suppose 2*f + 4*s + 4 = 0, f + 2 = x*s - 3*s. Put -4, -5, f in decreasing order.\nAnswer: f, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -1, 1\/6, 1, 61?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + t + 10 = -2*t, 2*t - 24 = -5*z. Is ((-308)\/16)\/((-1)\/z) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/10? (a) 13 (b) -6 (c) -5 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64 = -25*p + 9*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*b + 2*b - 4*b - 6*b.\nAnswer: -8*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - -2) + 4 + (-94)\/14 + 8?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 6995*c - 6376. Give w(1).\nAnswer: 619","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1014)\/66)\/13*11.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**2 - 9*p - 2. Suppose -4*q + 2786 = 2*h, 5*h - 2992 = 4*q + 3945. What is the remainder when h\/45 + (-4)\/(-30) is divided by u(-6)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -420 * -671715\nAnswer: 282120300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(30)\/(sqrt(10) + sqrt(90) + sqrt(10))*-1 - (-4 + 1 + sqrt(3) - (sqrt(9)\/sqrt(3) + 3))**2.\nAnswer: -36 - sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-23*h + 38 - 38)*(0 + 2 + 1) - 3*h + 4*h + h - 5*h + 3*h + 4*h + (-3 + 1 + 4)*(-5*h - 3*h + 6*h).\nAnswer: -69*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101 (base 2) to base 11.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**3 + 1152*b**2 + 68532*b + 813888.\nAnswer: 3*(b + 16)*(b + 54)*(b + 314)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 198 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1404 is divided by 51?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5464*q**4 - 2*q**3 - 22769*q?\nAnswer: -65568*q**2 - 12*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from vyayynyyvyvn.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, f: 3, p: 3, i: 4}. Give prob of sequence iff.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -12 in 67\/2, 1\/4, -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (12\/(-10))\/(6\/(-15)). Suppose 0 = -4*w - 4*r + 32, 3*w + 0*r = -4*r + 21. Factor w*z - 26*z + 13*z + 2*z**i.\nAnswer: 2*z*(z - 1)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = 5*r - 89 + 9, 2*i = 10. Solve 2*j = 2*v + r, 2*j - 2 = 4 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 5034, 10214, 15686, 21594, 28082, 35294, 43374?\n\"Answer: 24*l**3 + 2*l**2 + 5006*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-3)\/3)\/(28 + 44239\/(-1580)). Sort 3\/5, 3, y, -5 in decreasing order.\nAnswer: 3, 3\/5, -5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m + 2*c - 58, -5*m + 25*c - 26*c = -71. Calculate the highest common factor of m and 574.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**2 - n + 1. Let o(d) = 4*d**2 - 4*d + 5. Let i(z) = -5*k(z) + o(z). Let c(u) = u**2 - 4*u - 3. Give -c(b) - 2*i(b).\nAnswer: b**2 + 2*b + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 100101001 (base 3) to base 13\nAnswer: 3157","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*y = -4*y - 198. Suppose 5*z + 0*z = 0. Suppose z = 4*o - y - 47. Calculate the smallest common multiple of o and 12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -368010, -368001, -367992, -367983?\n\"Answer: 9*q - 368019","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 345 or 1033\/3?\nAnswer: 345","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 c when two letters picked without replacement from {c: 1, d: 1, k: 2, b: 1, u: 1, r: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 7, s: 1, n: 1}. What is prob of sequence rn?\nAnswer: 7\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 3*o**2 + 3*o + 1. Let g(n) = -3*n**2 - 4*n - 1. Determine 3*g(q) + 4*p(q).\nAnswer: 3*q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 865 + 1283 = 179*g for g.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 66\/(-5)*175\/(-70). Calculate the greatest common divisor of 12 and c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-783)\/58)\/(3\/(-4)). Suppose 16 = -2*y - 31*q + 27*q, 4*y - j = 2*q. Factor 1\/3*i**4 - 1\/3*i**3 + 0 + 4\/3*i - 4\/3*i**y.\nAnswer: i*(i - 2)*(i - 1)*(i + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p**4\/3 - 2*p**3\/3 + 10*p**2\/3 - 2*p = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**2 - 4*b + 6. Is 11 a factor of i(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -45*t**2 - 1. Let i(z) = 2*z**2. Determine i(k(s)).\nAnswer: 4050*s**4 + 180*s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -45, 3110, -2 in decreasing order.\nAnswer: 3110, -2, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqbq when four letters picked without replacement from {q: 11, b: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of ((-352)\/110)\/(4\/(-100)) and 1960?\nAnswer: 3920","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -29.7 + 30. Let r = -0.3 + c. What is the smallest value in r, 3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1249*t**2 + 23*t - 35?\nAnswer: 2498","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 653*k**3 + 6*k**2 + 6*k + 6. Let s(n) = -338912*n**3 - 3115*n**2 - 3115*n - 3115. Determine 6*s(c) + 3115*y(c).\nAnswer: 623*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 4 = -5*x, 3*j - 3*x + 7 = -7*x. Which is bigger: -3 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 395433386 to the nearest integer?\nAnswer: 19886","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-3\/10)*u*u**(-2)\/u*u*u*u**(-2\/9)\/(u**0\/u))\/(u**(-2\/19)*u*u**(-2\/7))**(1\/10) assuming u is positive.\nAnswer: u**(499\/1197)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 176 and 1788611?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/13 (b) -7493 (c) 113\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 8121, 37192, 87217, 158196, 250129?\n\"Answer: 10477*i**2 - 2360*i + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -33 (b) -23\/154 (c) 2 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 42.32 from 0.02.\nAnswer: -42.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 19 = -2*z, 0 = 4*u - z - 16 - 6. Is u greater than or equal to 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*o - 44*o + 5289 = 14*o + 1889 for o.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1288340, 10306461, 34784218, 82451429, 161037912, 278273485, 441887966, 659611173?\nAnswer: 939172924","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 375 is divided by 75.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0726015 nanograms to tonnes.\nAnswer: 0.0000000000000000726015","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 0, -2\/3, 1\/7, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 352*h**3 + 1035*h + 8176516.\nAnswer: 1056*h**2 + 1035","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -91981238240 rounded to the nearest 1000000?\nAnswer: -91981000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 803919 to the nearest integer?\nAnswer: 897","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrzrtttcct. Give prob of sequence zr.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -394, -795, -1196, -1597, -1998?\n\"Answer: -401*q + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-15)\/(-50) + 6\/30. Which is the closest to -1\/4? (a) -0.1 (b) 1\/3 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-44)\/(-3) + (-2)\/(-6). Suppose 175 = 2*s - x. Calculate the remainder when s is divided by 24.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.0553494384 take away 125?\nAnswer: -119.9446505616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28828?\nAnswer: 2, 7207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3125*k**3*v**2 + 166*k**3 - 19*k**2*v**4 + 13*k**2 - 3*k wrt v?\nAnswer: 6250*k**3*v - 76*k**2*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(2\/7)*c)**(-1\/48)\/((c\/c**(-2\/3))\/c**(-1\/7)) assuming c is positive.\nAnswer: c**(-617\/336)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 1 + -5 + 0\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 36*o**2 - 5*o - 45. Let y = 37 - 45. Let v be f(y). What is v rounded to the nearest one hundred?\nAnswer: 2300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xj when two letters picked without replacement from {j: 10, x: 1, s: 8}.\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-26)\/((-16)\/144*-18)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**3 - 18*a**2 + 6*a - 36. Is h(19) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 3*c**2 - 427*c + 3375. Give b(134).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 20, 0, 4 in decreasing order.\nAnswer: 20, 4, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 521?\nAnswer: 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10 and 1310.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:08 AM and 2:47 AM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/8 and 71\/46.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 0*i = 0, -i = -5*y + 485. Calculate the remainder when y is divided by 26.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-124 - -130)\/((-2)\/4)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/(-39) - 5 - (-2)\/(-13). Is -5 > q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 2*m**3 - 5*m**2 - 8*m + 11. Let y be d(3). Suppose 9 = -3*a - 4*c, -3*a - 12 = a + 3*c. Which is bigger: y or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*j**2*m**3*u - 5*j**2*m**3 + 4*j**2*u**2 - 667*j*m**3*u**2 + 6*j*m*u + 19*m*u wrt u?\nAnswer: 8*j**2 - 1334*j*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 185980.8ml?\nAnswer: 185.9808","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 + 15*5\/(-1 - -6). Suppose -6*g + 1116 = 3*m - 2*g, -3*m - 5*g = -1113. Let h = j + m. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**14*q)\/(q*q\/(q*q*q**(-3\/4))))\/(q**(-1\/3)*q**(-6)))**(5\/6) assuming q is positive.\nAnswer: q**(1235\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**3 + 6*q**2 - 6*q. Let s = -7 + 11. Let t be k(s). Solve -5 = -2*d - 3*f, -3*f = -3*d - t*f + 10 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 729 minus 20858715790?\nAnswer: -20858715061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 48784 and 908602.\nAnswer: 6098","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2130)\/(-4) - 3*(-7)\/14. Let r = t + -519. Solve 3*g = 6*g + r for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 228.94 - 226. Let p = y - 0.14. Let x = 3 - p. Which is the third biggest value? (a) x (b) -0.5 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 - -4. Suppose 0*m + a*m = 12. Suppose 4*j + u - 133 = 762, -660 = -3*j + m*u. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 80 + 8 = 0. Suppose t - 160 = -3*w. Calculate the highest common factor of w and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 148 divide 220169?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, 369, 4\/7, 2\/5, -1?\nAnswer: 369","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 149\/18 + -70\/9. Suppose 16 = -2*m - 0. Is o > m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*d - 53716 = 26924. Does 16 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q, 2*h + 2*q = -3*q - 2. Let w(z) = 2*z**3 + 3*z**2 + 1. Let s(x) = -x**2. Let o(f) = 4*s(f) + w(f). Determine o(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -43*t**5 + 608*t**2 - 699*t**2 - 56*t**5 - 8*t**5 wrt t?\nAnswer: -6420*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2841844 by -173.\nAnswer: 2841844\/173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 1081?\nAnswer: -3\/1081","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.4846 and -1417.595.\nAnswer: -1417.1104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 395?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(4\/21)*r**(-21))\/((r*r**(1\/22)*r)\/r*r**(-1\/4)\/r) assuming r is positive.\nAnswer: r**(-19039\/924)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are -41 and 1\/3 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the first derivative of -q**3\/3 - 11*q**2 - 14*q - 3. Let m be i(-21). Let c = 63 + m. Does 45 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times -148223?\nAnswer: -44466.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the second derivative of -u**7\/168 - u**6\/60 + u**5\/16 + 5*u**4\/24 - u**3\/6 - u**2 + 1539*u. Determine o so that z(o) = 0.\nAnswer: -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.9 - 4.1. Suppose -n = -2*n. What is the closest to n in -0.3, v, -4\/5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 13.843?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*a - 18 + 18)*(a + 5*a - 4*a + (2 - 2 - 1)*(4*a - a - 2*a) + a + 2*a + 0*a).\nAnswer: -16*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**2 - 10*z + 10. Let b be -1*1*(8 + 1). What are the prime factors of m(b)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 5*d**2 - 4 - 10 + 15. Let c = -15 + 14. What is m(c)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**2 + 7*t + 1. Let j be m(6). What is the remainder when (-10)\/8 + (-4439)\/(-92) is divided by 2 + j + 2 + 1?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6865 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 95252503 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: Solve 216 = 134*d - 110*d for d.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/((r**2*r)\/r)*(r*r*r\/r**8)\/r)**(2\/83))**(-11\/8) assuming r is positive.\nAnswer: r**(77\/332)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(1\/6)*p*p*p\/(p\/p**4*p*p)*p*p**(-2)\/p*p**(-5\/6)*p*(p**(2\/7))**34*p*p\/(p*p**4\/p)*(p**(-2\/15)*p)\/p assuming p is positive.\nAnswer: p**(347\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -47.41 + 47.21. Which is the nearest to 13? (a) 3 (b) 5 (c) n (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/(-9) + (-39)\/(-18). What is the biggest value in r, 1\/2, 1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*a**3 - 10*a + 10*a)*(-377*a - 485*a + 423*a - 1884*a) to the form s*a + w*a**2 + y + h*a**3 + k*a**4 and give k.\nAnswer: -9292","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 5\/8 of a centimeter?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 225 - 300. Let x be (3 + 1)\/((-6)\/g). What is the highest common factor of 30 and x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 210595 and 220?\nAnswer: 842380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -2*a + 12. Suppose 4*z - 8*z = -5*f - 53, f = a*z - 37. Suppose -14*h + z*h = 5760000. Round h to the nearest 100000.\nAnswer: -2900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1485000 rounded to the nearest 100000?\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19 + 21 - 260*f - 918*f.\nAnswer: -1178*f + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 56 + 445. Let g = l - 526. Suppose 0 = 3*b + 3*o - 6*o + 90, -4*b = 5*o + 75. Are b and g nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ro when two letters picked without replacement from ororrrrrrrrror.\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3\/346, -0.4, 1.27, -6, 1, 1\/10, 2\/7?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1\/141 + 187\/141. What is the nearest to -2\/3 in z, -5, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60487 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 2*c = -c + 60, -5*c = -20. Let h be ((-2)\/(-4))\/((-6)\/k). Let a be (4\/10 - h)*30. Calculate the greatest common factor of 9 and a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 320 and 960?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -64184.2 and 1?\nAnswer: -64184.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -80 * 1\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1470330\/1813 or 812?\nAnswer: 812","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ng when two letters picked without replacement from ggggnggglgllgllllnl?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4125 and 9?\nAnswer: 12375","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 2*o**3 + 13*o**2 - 27*o + 21. Let l be s(-8). What is the highest common divisor of 189 and l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 111160.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 + 0)*(-19*t - 3*t - 23*t)*(3 - 5 + 4)*(-4 - 1 + 3)*(0*t**2 - 2*t**2 + t**2).\nAnswer: -360*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8310406 and 14?\nAnswer: 58172842","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 205631895 divided by 1418151\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.3, 20\/7, -1.3547, 0.1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -252, 3\/5, 13?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-368)\/(-36) + 8\/(-36). Solve -3*g = -8*g - y for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and -1.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -48920550 * -0.4\nAnswer: 19568220","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 0, -2*v = 6*c - 3*c - 66. Suppose -6 = 2*l + 3*m, -v + 2 = -5*l + 4*m. Solve -12 = 2*u - l*n, -20 = u + 2*u - 5*n for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 4*(2*(1*sqrt(1900) + -2 - 6*(sqrt(1900) + sqrt(1900)*-1))*-2)**2.\nAnswer: -2560*sqrt(19) + 121859","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o**2 + 4*o**2 - 4*o**2 + 7*o + 6*o**2 - 7*o + (2*o - o + o)*(2*o - 2*o + o) + o**2 - 3 + 3)*(69 + 96 + 98).\nAnswer: 1578*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - -6) + 3 + -1\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 556 and 31414?\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the first derivative of w**4\/4 - 2*w**3 + 3*w - 8. Let r be t(6). Suppose -5*s + 4 = -r*s. Solve -s = 2*g - m + 13, -4*m = -20 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 - -1191865547\nAnswer: 1191865558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/372 and -121\/283836.\nAnswer: 283836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 781330 is divided by 781320.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) 4 (c) 8 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u + 16 = 4*y - 9*y, 3*u - 4*y - 12 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a minute in seconds?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.01 (b) -2\/9 (c) -67\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -47 + ((-2888)\/(-78) - (-1670)\/(-65130))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**4\/(f\/(f\/(((f**(-2)*f)\/f)\/f)))*(f*(f\/((f**(2\/9)\/f)\/f))\/f)**(-4\/9) assuming f is positive.\nAnswer: f**(467\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -38? (a) 162 (b) 0.1 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 2*h**2 + 3*h**2 - 6*h**2. Let p(b) be the first derivative of b**6\/180 - b**3\/3 + 24. Let z(t) be the third derivative of p(t). Give m(z(n)).\nAnswer: -4*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 137*t**2 + 45*t - 282. Let f be h(6). Calculate the highest common factor of 240 and f.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 45057034*q**3 + 210*q**2 + q - 50687?\nAnswer: 270342204","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 481, 3800, 12753, 30136, 58745?\nAnswer: 101376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 5*z**2 + 2*z - 6. Let h be 16\/(-12)*1*3. Let a be i(h). Let b = a + 44. What are the prime factors of b?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5570 - -6586. What is the remainder when a is divided by 11?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 73\/3 of a century?\nAnswer: 29200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-39 - 0)\/3)\/(-1). Let d be 230\/195 - (37\/q - 3). Solve 0 + 2\/3*y**3 + 0*y**2 + 0*y - d*y**4 = 0 for y.\nAnswer: 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3745\/11226 + -1\/3742. What is the nearest to q in 3, -5, -1, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes after 7:54 PM?\nAnswer: 2:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from {i: 3, y: 1, x: 4, z: 1, f: 5}.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2 + (5 - 1) - 0. Suppose -4*n = -2*q + 24, 4*n + 33 = 3*q + 9. Suppose -4*h + 16 = -0*h. Solve -3*i = 5*p - m, h*i - 5*p - 6 - 20 = q for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 610, 1264, 1918, 2572, 3226?\n\"Answer: 654*o - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 38725990 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3081 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2709 and 112.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5539 = 2*b - 5785. What is the highest common factor of 205 and b?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r - 4*h = -2, 8*r - 7*r - 3*h = 11 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 18 and 0.03128.\nAnswer: 0.56304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9252.303ng to kilograms.\nAnswer: 0.000000009252303","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -17a207 (base 12) to base 11\nAnswer: -261235","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5, 1 in descending order.\nAnswer: 1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 55639?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 63146 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1210889548 and 1276.\nAnswer: 1276","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 - (-3 - -4) - -1. Let z(y) = -1254*y + 5. Is z(s) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -3*x**2 + x - 1. Let m be i(-1). Let z be (6\/m)\/(12\/(-30)). What is the derivative of 2 - 5*l**2 - 10 - z + 4*l**2 wrt l?\nAnswer: -2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2 - 3*p + 0*p + 2*p - 4*p + 2*p + 0 + 0 + (2 + 1 - 4)*(p + 5*p - 4*p) - p + 3*p - p.\nAnswer: -4*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 24584 and 9128?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 101011110011100101111 (base 2) to base 3\nAnswer: 2200221001102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 2*x - 3*z - 26834, -4*z - 12 = 0. Let o = 32107\/6 - x. What is the common denominator of (13\/(-16))\/(1\/2) and o?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**3\/4 + 127779*a**2\/4 - 37118985*a\/4 + 2692650725\/4.\nAnswer: (a - 145)**2*(a + 128069)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 139 is divided by (7\/(294\/36))\/((-9)\/(-42))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001001100101101110011 + 1?\nAnswer: -1001001100101101110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -16*y**2 + y - 110. Let w(u) = 17*u**2 - u + 121. Let v(h) = -11*m(h) - 10*w(h). Let n(q) = 6*q. Give v(n(p)).\nAnswer: 216*p**2 - 6*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6, 34, 108, 252, 490, 846, 1344?\nAnswer: 2008","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 5, i: 2, l: 2, g: 3}. What is prob of sequence igri?\nAnswer: 1\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(4\/7)*j)\/((j*j*j**3)\/j)*j**(1\/10)\/j**3 assuming j is positive.\nAnswer: j**(-303\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/(-2)*(-11)\/(-11)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1737 + 3813. What is the hundreds digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 174 - 167. Let h(x) = x - 7. Calculate h(q).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(4 + (sqrt(57)\/(sqrt(3) + sqrt(12)) - (sqrt(19) + sqrt(38)\/(sqrt(2) - sqrt(2)*-2))**2) + -5 + 1 + 0 + sqrt(19)).\nAnswer: -304\/3 + 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 163714691 and 5894.\nAnswer: 2947","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the third derivative of 0 + 0*s - 1\/84*s**8 + 0*s**3 + 0*s**6 + 13\/12*s**4 + 10*s**2 + 0*s**7 + 0*s**5. What is the second derivative of v(b) wrt b?\nAnswer: -80*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*j - 214*x + 217*x + 39 = 0, -4*j = 4*x - 4 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -0.1 (b) 558 (c) -2 (d) 4\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, -4\/7, 7, 13\/35.\nAnswer: -5, -4\/7, 13\/35, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.05 or 129?\nAnswer: 129","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*s**5*w + 98*s**5 - 3*s**3*w + 84*s**2*w wrt s?\nAnswer: 120*s**2*w + 5880*s**2 - 18*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 400 = -13*t. Solve 14*i - 9*i = t for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -15 - -14. Let n be a\/(-2) + (-605)\/(-2). Suppose 3*q + 857 = 3*s + 2*q, -4*q = s - n. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/((-28)\/(-1190)*17)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2570*t - 2569*t + 3387 - 3387.\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 12\/(-30)*(-6 + 1). Suppose -3*z + 1 + 2 = 0, -4*z = -p*d - 14. Let f be d\/(-25)*(-1)\/1. Which is greater: f or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.3 (b) 2 (c) -2\/3 (d) -2\/5 (e) -0.63\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4\/2629 or -1?\nAnswer: 4\/2629","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -b*r**2*w**3 - 2*b*r**2*w - 10*b*w**3 - r**2*w - 116*w**2 wrt w?\nAnswer: -6*b*r**2 - 60*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the third derivative of 7\/8*a**4 + 12*a**2 + 0*a + 0 + 0*a**3. Let z(v) = 4*v. What is z(i(o))?\nAnswer: 84*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the second derivative of -q**5\/4 + 25*q**4\/12 - 5*q**3\/2 - 45*q**2\/2 + 5*q + 2. Factor x(k).\nAnswer: -5*(k - 3)**2*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -34451124 (base 7) to base 3\nAnswer: -12200110212000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000001 + 101011?\nAnswer: 1101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8.0428499 - -7.70384841. Let n = v - -0.339. Round n to 7 dps.\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 18*t**3*v**2 + 79*t**3 + t**2*v**2 - 2*t*v**2 wrt v?\nAnswer: 36*t**3*v + 2*t**2*v - 4*t*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.021 - 0.02015. What is o rounded to four dps?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 7\/4 of a minute?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -49, -152, -321, -562, -881?\nAnswer: -1284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 34403 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -45336, -181698, -409020, -727302, -1136544?\nAnswer: -1636746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 139302532 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12 + 5*b**2 + 152 - 13 + 94 + 17 to the form m + d*b**2 + z*b and give d.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 89568?\nAnswer: 2, 3, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 30 and 50692542?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 5*j**2 + 1. Let m be 1 + -1*(-1 - -1). Let q be s(m). Let l(n) = -n**3 + 8*n**2 - 7*n - 8. Is l(q) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 795228 a multiple of 941?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -3 + -1 - (-57 - -17) is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9 - 4. Let j = -6 + b. Let l = -2\/11 - -17\/33. What is the second biggest value in l, j, -3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**2 - r + 1. Let h(j) = 3 - 5 + 7*j**3 - j - 4*j**3 - 6*j**2. Let x(i) = -3*h(i) - 6*v(i). Factor x(b).\nAnswer: -3*b*(b - 3)*(3*b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes after 11:30 PM?\nAnswer: 6:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3617?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1252)\/36 - 4\/18. Let a = -25 - j. Suppose 6*f + 128 = a*f. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 180\/(-54)*3\/(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*u**3 + 1692*u**2 + 3372*u + 1684.\nAnswer: 4*(u + 1)**2*(u + 421)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the second derivative of l**7\/105 + l**6\/25 + l**5\/25 - l**4\/15 - l**3\/5 - l**2\/5 + 12*l. Factor s(j).\nAnswer: 2*(j - 1)*(j + 1)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -1\/5, 1\/9, 0.37, 36\/7?\nAnswer: 0.37","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 375*q**2. Let v(d) be the third derivative of d**4\/12 + 2*d**2 - 49*d. Determine z(v(a)).\nAnswer: 1500*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 78292 and 1976392.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -6733600 to the nearest one hundred thousand.\nAnswer: -6700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 + 1)\/(3\/15). Let p(g) = f - 3 - 3 + 2*g. Let n be p(1). Sort n, 0, 2 in descending order.\nAnswer: 2, n, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 166, 5, -5 in descending order.\nAnswer: 166, 5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**2 - 7*k - 21. Let h(m) = m + 3. Let i(a) = 28*h(a) + 4*l(a). Let n(x) = -x + 2*x + 0*x. Determine i(n(w)).\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-10))\/(104\/65)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -253, -1019, -2297, -4087, -6389, -9203?\nAnswer: -12529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Do 2764 and 0.055 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 694 - 159. Let w = -961 + u. Let a = w - -426.000253. Round a to five dps.\nAnswer: 0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41.07461435 rounded to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the third derivative of -7*j**4\/3 - 19*j**3\/6 - j**2. Let i = -21775 + 21768. Is n(i) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirteen quarters of a millennium?\nAnswer: 39000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -121\/22026030 and 97\/4.\nAnswer: 44052060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8.48 - -0.02. Let k = h + -9. Which is the second smallest value? (a) -3 (b) k (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -9*r**3 + 6*r**2 - 16*r - 65. List the prime factors of h(-7).\nAnswer: 2, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79*x + 85*x = 18 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -8160 - -222317?\nAnswer: 214157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 2*f**3 - 67*f**2 + 22*f + 366. Let y be l(33). Which is the biggest value? (a) -2.3 (b) y (c) -0.3 (d) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:48 PM and 7:40 AM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 + -2.5. Suppose 1608 = 47*h - 44*h. Let i = 551 - h. Put 2\/3, -0.5, u, i in increasing order.\nAnswer: -0.5, u, 2\/3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10382009 to the nearest integer?\nAnswer: 218","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 5*j - 67 - 33, -3*j - 3*b = -60. What is the third biggest value in 1\/4, j, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2\/(-7)*1\/2*41 and 46\/7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.565253 to two dps.\nAnswer: 0.57","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 103*p - 104*p = 114. Let a = p - -277\/2. Let q = -4367 + 56821\/13. Find the common denominator of a and q.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 12*q**2 - 43*q + 9. What is the units digit of y(10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*l + 905 - 8*l + 3260*l**2 - 905 as f*l + k + j*l**2 and give j.\nAnswer: 3260","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1484.4+2\nAnswer: 1486.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = v - 5*c - 20, -2*c = 3*v - 84. Suppose 3*h - 5*h + v = 0. Does 15 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.263 + 0.263. Let x = 1 - 0.8. Let k = -2 + 0. What is the nearest to x in k, c, -3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 7*v + 4293 = -2587, v - 2320 = -w. Calculate the remainder when w is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 - (-14 - -7) - -13?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8877853?\nAnswer: 41, 223, 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 120 = 5*f, k - 73 = 3*f - k. Let b = f + 24. Suppose -b*h + 12 = h. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:03 AM and 3:53 PM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**16\/b**9*b**(-2\/13)*b**7)**(-2\/3) assuming b is positive.\nAnswer: b**(-120\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/5, -0.1, 4, -1.2.\nAnswer: -1.2, -3\/5, -0.1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -2878, -11339, -25414, -45079, -70310, -101083, -137374?\n\"Answer: 4*x**3 - 2831*x**2 + 4*x - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (4 + 2 + (-126)\/27)\/((-2)\/36)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5361749?\nAnswer: 17, 197, 1601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 7*v + 4. Let o be r(2). What are the prime factors of ((-9)\/2)\/(o\/(-168))?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 - 311132022?\nAnswer: -311132022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17627283, 35254557, 52881831, 70509105, 88136379, 105763653?\nAnswer: 123390927","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 673457500 to the power of 1\/2, to the nearest integer?\nAnswer: 25951","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40989886?\nAnswer: 2, 7, 109, 26861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1005 is divided by 334.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9252?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8 times -3499046.9?\nAnswer: -2799237.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-4\/3))**(-2\/5)*(t**9*t)**(-39) assuming t is positive.\nAnswer: t**(-5842\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -2*j - 4. Suppose -10 = -j*k + 2*k. Solve -2*t - k = 3*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5820307.\nAnswer: 17, 342371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from {c: 3, l: 1, r: 11, p: 5}.\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d - 2 - 1. Let c(r) = -7*r**2 + 17*r + 3. Let h(u) = u**2 + 2 - 5*u**2 + 0 + 9*u. Let g(s) = -6*c(s) + 11*h(s). Calculate g(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**3 - 102*v**2 + 19*v + 1937. Let l be s(-102). Let o = 2.1 - 2. What is the second biggest value in o, 1\/60, l?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 3*j - 1. Let v = 152 - 150. Let d(x) = 674 + 3*x**3 + v*x**3 - 2*x**2 - 673. Give d(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 621 a factor of 1641710?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -92462.3767 rounded to the nearest ten thousand?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) + (sqrt(272)*4 - sqrt(17)) - sqrt(17)) + (3*sqrt(2448) - sqrt(2448))**2.\nAnswer: 15*sqrt(17) + 9792","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put together -230 and -22610.\nAnswer: -22840","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.27 and -0.05.\nAnswer: -0.0135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 0 = -2. Let x be (-8 - -2)*v\/3. Let n be (0\/x)\/(-11 + 13). Sort -2, 2, n in ascending order.\nAnswer: -2, n, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u**4 - u**5 - u**4)*((0 + 1 + 1)*(1 - 5 + 3) + (4 + 1 - 3)*(-1 - 3 + 2) - 1 - 5 + 0).\nAnswer: 12*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 251 + 529*z**2 - 251.\nAnswer: 529*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 124951 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 13*c**3 - 28*c**3 - 51*c**3.\nAnswer: -66*c**3 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 216334?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**2 + 2*j + 3. Let b be d(-3). Suppose 5*y + 55 = 3*f + b, 0 = -3*f - y + 19. List the prime factors of f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, -2\/1055, 5, -58.3, 4, -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-616)\/(-21) - 2\/6*1. Suppose -3*l - 18 = 5*s - i, l - 5 = -2*s. Let f = 12\/23 - 1\/46. Which is the third smallest value? (a) f (b) l (c) 0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 3924?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.303427849 to 1 dp.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-220)\/275)\/(6\/(-15))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, 5, 2.3, 604, 12, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the second derivative of p**4\/6 + 2*p**3\/3 + 3*p**2\/2 + 2*p. What is the units digit of g(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(55)*3 - (sqrt(4455) + sqrt(4455)*-4))\/(sqrt(45)\/sqrt(9)*-1 + sqrt(5) - (sqrt(5)*-3*6 - sqrt(5))).\nAnswer: 39*sqrt(11)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-19)\/3 + 12\/(-18). Let w = d + 7. Suppose 0 = -w*x - 4*x + 3*z, 0 = -3*z. Solve -a = v - 0*a + 7, -v - 3*a - 17 = x for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ab (base 15) in base 12?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 162846684 a multiple of 231?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.04, 0.032, -2\/3?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -3*d + 4*d + d**3 - 9*d**2 + 0*d**2 + 2*d**2. Let t(k) = k**2 + 3*k + 3. Let l be t(-4). Let x be w(l). What is the highest common factor of x and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**3 - 10*o**2 + 11*o + 20. Let s be 8650\/(-692)*(-8)\/10. What is k(s)?\nAnswer: 130","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 511*w - 251*w - 258*w - 34. Suppose 3*x + 2*x - 2*h = 75, 2*x + h - 39 = 0. Let r be k(x). Solve 2*b + b = r for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 214992939 to the power of 1\/2, to the nearest integer?\nAnswer: 14663","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1867326 from -14.\nAnswer: -1867340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**2 - 4*v + 3. Let u be r(-5). Let k be 4\/(-60)*(-5)\/(-2). Let w = -2260\/10251 - 2\/1139. Which is the second smallest value? (a) k (b) u (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) -2\/13 (b) -1\/9 (c) 2 (d) -85\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 5*k = 0, 2*k - 6*k + 16 = 0. Is d > -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 646838 + -345811. Is z 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 rrrjkrrjkrrrkkr. What is prob of picking 2 j?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: 98311, 98315, 98319?\nAnswer: 98323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 37.1283 rounded to 1 decimal place?\nAnswer: 37.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 124105 - 49225. What is the tens digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**2 - 17*s + 3. Let y = 5296 - 5296. Calculate t(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -27666 or -27663?\nAnswer: -27663","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*-104181\nAnswer: -20836.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 10*g**2 - 40*g - 561?\nAnswer: 20*g - 40","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:22 AM and 3:06 AM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -7*d - 137. Let i be k(-20). Put 27, -3, i, 0 in ascending order.\nAnswer: -3, 0, i, 27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the second derivative of g**4\/12 - g**3 - 5*g**2\/2 - 2*g. Let f be o(5). Let n = f + 6. What is the nearest to -1 in n, -0.1, 4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 145*f + 303 - 304 + 7*f + 976*f in the form y*f + h and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 + 0.21.\nAnswer: -0.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -2*m - 24, 0*a + a = 2*m. Suppose 14 - 2 = 4*b. Suppose -b*p = -x + 14, -4*p = -x + 13 + 4. What is the third smallest value in a, -0.1, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + u**2 - 4)*(-3*u - 5 + 5)*(237 - 922 + 387).\nAnswer: 894*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (338\/1521)\/(2\/18). What is the smallest value in -2220, z, -3?\nAnswer: -2220","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7763, 24, -3 in ascending order.\nAnswer: -3, 24, 7763","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.01 and 0.171.\nAnswer: 0.00171","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1b (base 13) to base 11\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a litre in millilitres?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**2 + 29*d + 148. What is w(34)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-34 - -11 - -11) + (5 - (8 + -5 + -109)).\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9 + 8.98. What is the nearest to -0.1 in -1\/7, -4, z?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 174\/5 - 34. Let o = y + 7\/10. Which is the second biggest value? (a) 5 (b) o (c) 0.4 (d) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 57855348 to the nearest integer?\nAnswer: 7606","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes after 4:55 PM?\nAnswer: 3:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1945\/6 - 13429\/42. Find the common denominator of 6\/439 and h.\nAnswer: 3073","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 greater than or equal to 90?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*n - 2*n + n + (6 - 3 + 3)*(3*n - 3*n + 5*n)*(0 + 0 - 2).\nAnswer: -67*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 875*l + 3331?\nAnswer: 875","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2255 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 28404541*-2\nAnswer: -56809082","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-22781)\/(-30520)*-91 + 68\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes before 3:32 PM?\nAnswer: 9:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes after 8:25 AM?\nAnswer: 6:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q = 0, 0 = 2*u - 2*q + 26268 - 52548 + 26274 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.010319926 rounded to three dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4900)\/(-77) - 4944\/103)\/((-18)\/22 + 1).\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -694 - -696. Let n(u) = u**3 - 5*u**2 + 4*u - 2. Determine n(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 5*j = 0, q - j + 6 = 4*q. Let a be (-5)\/15*q*-5. Let h(l) = -l**3 + 4*l**2 + 5*l + 4. Give h(a).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 575752 and 8216?\nAnswer: 632","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (z - 4*z + 2*z)*(3 - 1 - 4) - 12*z + 0*z - z + 1255*z + 374*z - 426*z to d + y*z and give y.\nAnswer: 1192","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/45*120\/16.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w + 31 = 5*x, 2*w + 0*x = -4*x + 38 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -124574? (a) 4 (b) 1\/94 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes after 11:22 AM?\nAnswer: 2:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 785?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-1)\/1)\/(-3 + 2). Let d be (-8 - (4 + -1)) + c. Let x be (-1)\/(-2) + (-5)\/d. Let b(f) = -4*f**3. Determine b(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57 is divided by 26?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -33620 - 160?\nAnswer: -34110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -11*k - 2 - 13*k + 119*k**2 - 118*k**2. Let p be m(7). Is p equal to -122?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -13*c + 19. Let g(m) = m**2 + m - 2. Let q be g(2). Let t be q + 5\/(-2) + (-3)\/(-6). Let k be d(t). Sort k, 2, -0.2, -0.4.\nAnswer: k, -0.4, -0.2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18728432 divided by 232.\nAnswer: -80726","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add 262302.4119 and 0.2.\nAnswer: 262302.6119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 262975 divided by 3.\nAnswer: 262975\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (490\/(-14))\/((-133)\/19). What is the nearest to 1 in -2\/3, 35, b, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**3 - 12*s**2 + 28*s - 4. Let i be d(-14). Which is greater: 533 or i?\nAnswer: 533","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 122121 + 212?\nAnswer: 200110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1169?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 441, 1, -1.4, 0.3, -5, -6.5, -0.4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -3*f**3 - 30*f**2 - f - 1. Let v be l(-10). Solve -v = -3*a - 12 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2798 by 2010.\nAnswer: 1399\/1005","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/50 and 1053\/(-520) + -1 + (-3)\/(-15).\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(242) - sqrt(242)*-2)\/sqrt(11) - 6*sqrt(1408))\/((sqrt(200) - (-5*((sqrt(200) - -1*sqrt(200)) + sqrt(200) - sqrt(200)) - sqrt(200)))*-1).\nAnswer: 3*sqrt(11)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the second derivative of -x**3\/2 + x**2 + x. Let z = -6 - -10. Let p(u) = -4*u + 3. Let o be 0 + -2*25\/10. Determine o*c(v) + z*p(v).\nAnswer: -v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(2 + sqrt(171) + 3 - (sqrt(171) + -1*sqrt(171)*5))*-4*-4 + 2)**2.\nAnswer: 348480*sqrt(19) + 9908164","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45124 is divided by 56.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4 - (-17 - 2)) + -4. Calculate the highest common divisor of z and 275.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the second derivative of -11*y**5\/10 + y**4\/12 + 19*y. What is the third derivative of m(a) wrt a?\nAnswer: -132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f - 9. Let y be k(-11). Suppose 3*x = x - y. Let q = -3 + 1. Which is the closest to x? (a) -1\/10 (b) 1\/4 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 2*r**2 - 5*r + 8. Let i be h(6). Let c = 18 + i. Let f = c + -43. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -61*m**5 - 2*m**4 + 30*m**3 - 27566*m**2 wrt m.\nAnswer: -3660*m**2 - 48*m + 180","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -824680\/29 < -28436?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65*w - 276 = 244. Put 2, 1, -3, -5, w in decreasing order.\nAnswer: 2, 1, -3, -5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -3*g, -3*r + 5*g = 5 - 27. Let k be (0*r\/(-5))\/1. Which is the closest to k? (a) 2 (b) 1\/9 (c) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3403 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 242*m - 229*m - 156 = 0 for m.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4 and 192.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -s + o, 5*s - o + 3 = -33. Let q be (17\/s)\/((-6)\/18). Is q at least as big as 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -347950210 less than or equal to -347950213?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*r**3 - 460*r**2 + 12992*r + 13456.\nAnswer: 4*(r - 58)**2*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -i**2 + i**2 + 2*i**2 + (-3 + 1 + 0)*(5*i**2 + 4 - 4) - 109*i**2 - 39*i**2 + 4*i**2.\nAnswer: -152*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1204 - 684. Is 40 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 83, 178, 281, 392, 511, 638, 773?\n\"Answer: 4*x**2 + 83*x - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 5 + 6)*(0 - 4 + 2)*(-4*f + 4*f - 4*f) + (-1 + 4 - 2)*(0*f - 3*f + 4*f) + 1 - 1 - 2*f in the form m + p*f and give p.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**2 + 3*n + 4. Let u(p) = 5*p**2 + p. Let o be u(-1). Let c be h(o). Let y(v) = -6 - 2 - v**3 + c*v**3. Calculate y(0).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 269708?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 484\/(-11) + 30 - 8.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 574667 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the second derivative of -c**6\/10 + 33*c**5\/20 - 5*c**4\/2 + 27*c. Factor m(q).\nAnswer: -3*q**2*(q - 10)*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -4*k - 11, -2*k - 2*r + 16 = -7*k. Which is the closest to 2\/7? (a) k (b) 0.2 (c) -0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -135*t**2 - 733*t\/2 - 193.\nAnswer: -(t + 2)*(270*t + 193)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25281, -50562, -75843, -101124?\nAnswer: -126405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 + 0. Let m = 638 - 633. Solve q = -u + m, 3*q - o*u = 5*q - 10 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 560\/175 - (-35)\/(32550\/(-2916))?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 90590680 and 71982?\nAnswer: 2666","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 3 + ((9 - -2) + -28 - -46)\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5855 and 15.\nAnswer: 17565","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*d - 10*d - 18*d**2 + 4*d + 8*d to the form z + x*d + r*d**2 and give r.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 8929.713l?\nAnswer: 8929713","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4 + -7 - (-25)\/1. Calculate the greatest common divisor of p and 176.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 - -7. Let o = -0.3 - -0.3. Let p = o + 1. Put d, p, -0.2 in decreasing order.\nAnswer: d, p, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((w\/w**(3\/4)*w*w*w)\/(w*w*w**0*w))\/(w**(1\/7)\/(w*w*w**(5\/2))))**(-1\/2))**(-2\/5) assuming w is positive.\nAnswer: w**(129\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -5*v**3\/8 - 39*v**2\/8 - 9*v + 2 = 0.\nAnswer: -4, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 3 + b)*(-2*b + 0*b + 3*b)*(3*b + 4*b + 0*b) to d*b + s + q*b**3 + h*b**2 and give q.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1369 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23, 48, 73, 98, 123?\nAnswer: 148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-27)\/(-99)*(-176)\/(-48) - (2 + 13)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 39 divided by -885\nAnswer: -13\/295","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 440503780?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m + 3. Let d(j) = -j**3 + 4*j**2 - 3*j - 4. Let l be d(3). Let s be a(l). Let w be s - 0 - -5 - 1. Let f(t) = -t**3 + t**2 + 3*t + 2. Determine f(w).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the third derivative of -785*c**8\/112 + 3*c**4\/8 + 11*c**3 - 4552*c**2. Find the second derivative of q(u) wrt u.\nAnswer: -47100*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13946, -13972, -14022, -14096, -14194, -14316, -14462?\nAnswer: -14632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -141 + 144. Let r be ((-14)\/i)\/(62\/15 - 4). Let c = r + 38. Solve -u - 2 = h + 2, c*h - 3 = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 241*n**2 - 241*n**2 + 9110*n**3.\nAnswer: 9110*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**3 - 14*h**2 + 33*h - 15. Calculate j(9).\nAnswer: -123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -681 (base 12) to base 6.\nAnswer: -4241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 3914, 30745, 103558, 245339, 479074?\n\"Answer: 3831*m**3 + 5*m**2 - m + 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10.45469524 + 557.373.\nAnswer: 546.91830476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117*f + 120*f = -5*n + 6, f = 3*n + 2 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 15\/(-7) - 48\/(-336). Sort 0, g, 1, 224 in ascending order.\nAnswer: g, 0, 1, 224","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*h - 1363 + 1403 for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 99*o**2. Let d(i) = i + 1. Let r(y) = -10*y - 11. Let b(x) = -22*d(x) - 2*r(x). Determine b(g(j)).\nAnswer: -198*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.5 - -1.5. Suppose -z = u - 6*z + 16, -u = 3*z - 16. Which is the smallest value? (a) u (b) -0.3 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -9*f**2. Let o(j) = -47387*j. Give v(o(r)).\nAnswer: -20209749921*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 26*x**2 + 692*x + 115. Calculate y(-31).\nAnswer: 3649","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 3 = 3*y. Suppose 108 = -j + y*m, -3*j + j + 4*m = 216. Find the common denominator of (-3)\/(j\/15)*-25 and -23\/22.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -17817037 or -17817044?\nAnswer: -17817044","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 4*((6*(sqrt(70) + 1*sqrt(70) - sqrt(70) - sqrt(70)) - sqrt(70))\/(4*sqrt(20)\/sqrt(2)) + -4))*2.\nAnswer: -40 - 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 212266511 to the nearest integer?\nAnswer: 597","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*q**2 - 4 + 1 - q**2 + 0 to u + j*q**2 + p*q and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) -23.938 (b) 3 (c) -0.3 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 372, 371, 366, 357, 344, 327?\nAnswer: 306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 116232 (base 8) to base 3.\nAnswer: 2000222211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -3 + 11. Suppose l = -3*l - 4*g + 20, 2*g + 6 = 2*l. Suppose s + o*z = -z - 7, l*s = -2*z + 2. Solve 5*b + 19 = s*p, b - 4 = -4*p + 1 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - f**3 + 2)*(9 - 1 + 1) + f**3 - 539*f + 541*f - 13*f**3.\nAnswer: -21*f**3 + 2*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 8525.103 minutes in microseconds?\nAnswer: 511506180000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together 18681.481 and 0.03385193.\nAnswer: 18681.51485193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/2*((-44)\/110)\/(1\/(-35))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 73 (b) 0.3 (c) -33 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 36765?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in 7, -1, 1, -643?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjf when three letters picked without replacement from fffjffffffjjfjffff?\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 2*r + 3 = 2*w, 5*w + 4*r = 11. Let s be w - (-1 - (3 + -4)). Suppose -152 = -s*t - 5*g - 38, 0 = -g. Does 13 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**2. Let a = -272 + 275. Let p(x) = -3*x + 3*x - 2 - 4*x**2 - 3*x**2 + a*x**2. What is 2*c(l) - p(l)?\nAnswer: 2*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: aa (base 13) to base 3\nAnswer: 12012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times -0.00103\nAnswer: -0.000206","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 23040605 to the nearest integer?\nAnswer: 285","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 163\/13320 and 15\/587264.\nAnswer: 26426880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*i**2 - 5*i**2 - 2*i**4 - 5*i**3 + 5*i**3 + i**4 + (-3*i + 4*i + 0*i)*(1 - 2*i**3 - 1) + i - i + i**4.\nAnswer: -2*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 310795 and 77850?\nAnswer: 4839078150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x + 2 + 0 - 3)*(0*x + 0*x - x + 12407346 - 12400255).\nAnswer: 3*x**2 - 21272*x - 7091","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -14616 divided by 522\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the first derivative of r**3\/3 + 3*r**2\/2 - r + 1. Let l = 372 - 368. Suppose -y = -4*d + 8, -l*y + 7 = -7*y - 5*d. Calculate g(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -326658*m**4 + 198*m**2 - 3575?\nAnswer: -7839792*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1725655073 to the nearest integer?\nAnswer: 1199","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the second derivative of -f**3\/3 + 9*f**2 + 141*f. Let x(m) = -m**2 + 5*m + 5. Let v be x(4). Determine y(v).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*y + 13287 - 13249 for y.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -a**2 - 11967082*a - 11967081 = 0.\nAnswer: -11967081, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -4 * -858\nAnswer: 3432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 p when two letters picked without replacement from bfmpmme.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -395 + 476. Find the third derivative of -31*o**3 + h*o**2 - 87*o - 21*o - 82*o**2 wrt o.\nAnswer: -186","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -267 - 41 = h. Let y = h + 5743. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 1020973?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 2*n. Let a(q) be the third derivative of 3*q**5\/10 + 13*q**4\/12 + 3*q**2 - 3*q - 278. What is t(a(c))?\nAnswer: 36*c**2 + 52*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 894 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 2*f + 1606. Let k(x) = x + 1625. What is -3*i(b) + 4*k(b)?\nAnswer: -2*b + 1682","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**3\/9 + 2*p**2\/9 - 10*p\/9 + 2\/3.\nAnswer: 2*(p - 1)**2*(p + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20*-7390445.\nAnswer: 147808900","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 230916 and 22?\nAnswer: 2540076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9.945 - -0.055. Let i = g - 10.3. What is the second smallest value in -1, i, -3, 5\/4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1067)\/(-44) - (-1)\/(-4). Let y = 43 - h. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 17, 2, -5 in descending order.\nAnswer: 17, 2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3722305558 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 364613713 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -29760 and -3.02.\nAnswer: 89875.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17, -16, -15?\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 116351, 232702, 349053, 465404, 581755, 698106?\nAnswer: 814457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8942845061 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t**2 - t**2 - 2*t**3)*(2 - 1 + 0)*(684*t - 1263*t + 879*t).\nAnswer: -600*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1859 - 5570. Let n = 22207\/6 + b. Calculate the common denominator of n and (-37)\/(-30) + 1 + 0.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 81779225 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 b(y) = 2*y - 199. Let i(p) = -67*p**2. Determine i(b(n)).\nAnswer: -268*n**2 + 53332*n - 2653267","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/94)\/(39 + -19 - 27 - -5).\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -3*p**3 - p**2 - 2*p - 1. Let u be l(-1). Let i be 1*(-2 - (-4 + u)). Let b be -1 - 0*i\/(-2). Let a(s) = -6*s - 1. Calculate a(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56925 divided by -11385?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -1599.8104 to the nearest ten.\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 3 = 5*i. Solve w = 6*w - 4*s + i, 3*w + 12 = -s for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a litre in millilitres?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -820222.39 + 815408. Let n = -4845 - w. What is n rounded to the nearest integer?\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 4 - 3 = -3*v, -t = -v + 1. Find the common denominator of 0\/t - (-1323)\/513 and 5\/4.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 3132947*v + 99. Let j = -298 - -281. Let c be o(j). What is c rounded to the nearest one million?\nAnswer: -53000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 2 - 1)*(0*i**3 + 3*i**3 + 0*i**3).\nAnswer: 6*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 l when two letters picked without replacement from uqalu?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*y**2 - 10*y**2 + 13*y**2 + (0*y**2 - y**2 + 0*y**2)*(3 + 4 - 3) + (-1 + 2*y + 1)*(5*y - 4*y - 2*y) to the form b*y + i + q*y**2 and give q.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1586690 bigger than 1586686?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 148609 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -29*g - 23*g + 12*g - 33*g to b + k*g and give k.\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5165*p**6 - 887*p**5 - 140119752*p**2?\nAnswer: 619800*p**3 - 53220*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 114*y + 525 = -2189 + 776 for y.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2022)\/((-12)\/(-90) + 0). Let j be (-2)\/(-5) + 6156\/v. Does -1 = j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 58\/14 - 40\/(-700)*15. Calculate the greatest common factor of i and 415.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2756 a factor of 4139856500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(72) + (sqrt(72) - -5*2*sqrt(72)))\/sqrt(3))\/(1*1*sqrt(2)*6)*2.\nAnswer: 8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add together 5.2848006 and 0.3.\nAnswer: 5.5848006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/(-21) - (6 + 4080\/112).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7261493167 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -2*b + 4. Let g(y) = -3*y + 4. Let i(t) = 4*g(t) - 5*k(t). Let x be i(-4). Solve -h + 0*h = -5*p + x, 5*p = -h - 4 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.90262217 rounded to 4 decimal places?\nAnswer: -2.9026","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**3 + 9*u**2 + 11*u - 10. Is j(9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4 - -7)*10\/15 - -9. Sort 3, s, 1, 2 in increasing order.\nAnswer: 1, 2, 3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(240)\/(3*sqrt(300)))\/(-3*sqrt(64)*3))**2.\nAnswer: 1\/58320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1010 (base 2) in base 16?\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttititttttiiiitttit. Give prob of sequence tti.\nAnswer: 154\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/7734961 and 30\/164521.\nAnswer: 1028749813","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**3 + 5*l**2 - 3*l + 4. Let f be y(-5). Suppose 3*n + 3*h + f = 115, -2*h - 106 = -3*n. What is the remainder when n is divided by 0 + (1*17 - -1)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i - 72 = 2*i. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 135239203 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2979 by 993.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 122*d - 300*d + 3204 = 0 for d.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 q when two letters picked without replacement from llggglgglqlllglllll.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1567 is divided by 119.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 17509326?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes after 7:09 PM?\nAnswer: 5:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -18 divided by -14\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 45.053509 rounded to 1 decimal place?\nAnswer: 45.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -88*h**2. Let g(l) = l**2 - 4*l**2 - 8*l**2 - 4*l**2 + 17*l**2. Determine g(x(d)).\nAnswer: 15488*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.2 - -1. Let q be ((-848)\/(-104) - 5) + -8 + -4 + 9. What is the biggest value in -5, p, q, 2\/31?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**2 - i + 193. What is the units digit of v(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -41535030 + 20.917\nAnswer: -41535009.083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*s = -32*s - 8, -5*s = 2*r - 790. Suppose 0 = -2*i + 46 - 12. Calculate the remainder when r is divided by i.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(605)*-2*-2 + -3 - ((2 + 2 + sqrt(5))*-2)**2*4).\nAnswer: -339 - 84*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 91\/(-117)*2\/7.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the second derivative of -k**7\/21 - k**3 + 7*k. What is the second derivative of q(c) wrt c?\nAnswer: -40*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 29 = -k + 22, -112 = -2*k + 3*m. Suppose k + 31 = 3*h. Let s(c) = -149*c + 1362. Calculate the lowest common multiple of s(9) and h.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 499 divide 63059348?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 3*n = 27540. Suppose 2*u = 33742 + n. Suppose 195003 = 5*l - z, -u - 19366 = -l - 3*z. Round l to the nearest 10000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes after 9:12 PM?\nAnswer: 10:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23858, 22635, 20608, 17783, 14166, 9763, 4580, -1377?\nAnswer: -8102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g, 1 n, and 1 i when four letters picked without replacement from {i: 6, n: 9, g: 2}?\nAnswer: 27\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 17426162?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-12)\/14*(-1813)\/37. Let o = 97 - f. List the prime factors of o.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 121 - 118. Solve -y*i + 9 = -3 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 14.304 + -14.34. What is the closest to -0.1 in b, -4, 1, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*y = 19*y + 4. Suppose 2*u = -y*u + 48. Does 3 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6444055 to the nearest integer?\nAnswer: 2539","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -313*h*x**4 - h*x**3 + 90*h*x + 341*x**4 - 678*x**2 wrt x?\nAnswer: -7512*h*x - 6*h + 8184*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 80*b - 175*b + 89*b + 1.\nAnswer: -6*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -6*g - 3. Let p be h(-1). Suppose -4*k - 1 = p. Let o = -16 + 11. Which is the second smallest value? (a) k (b) 5 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1970, -33, 3196, 7717, 13530?\n\"Answer: 646*a**2 - a - 2615","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one quarters of a litre?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 0*w + 4 = 4*t, 3*t + 4 = w. Suppose 4*c = w*n - 196, 5*n + 0*c - 272 = -4*c. What is the highest common divisor of 13 and n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**3 - 3*f**2 + 2*f + 2. Let u be o(-3). What is the smallest common multiple of 1 + -2 + (1 - u) and 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/(l*l**(2\/23)\/l))\/l)\/l)\/((l*l*(l*l*(l*l\/l**3)\/l)\/l)\/l)*(l*l**(-1))**4 assuming l is positive.\nAnswer: l**(-25\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the third derivative of l**6\/120 + 35*l**4\/12 + 6*l**3 - 149*l**2. Let x be z(-26). What is x rounded to the nearest one thousand?\nAnswer: -19000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 8*j**3 - 4*j**3 - 3 - 4 - 9*j**3 wrt j?\nAnswer: -15*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 710\/(-142)*(-19)\/5*1?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 103 and -147.\nAnswer: -15141","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9 + 12. What is the third derivative of 0*g**3 + 7*g**3 - 3*g**3 + 2*g**2 - j*g**3 wrt g?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 193 = -81*m + 193. Let g(v) be the first derivative of 15 + m*v - 40\/57*v**3 + 2\/19*v**5 + 8\/19*v**2 - 1\/19*v**4. What is w in g(w) = 0?\nAnswer: -2, 0, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15 + 9. Let h be 0\/(g\/(-4) - -3). Suppose 5*z + q - 6*q = h, -z - 5*q + 18 = 0. Solve -z + 1 = d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39085408.\nAnswer: 2, 79, 15461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -0.05, -2, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-5)\/25 - (-19)\/(-5). Let q(a) = -a. Let k be q(n). Suppose -5*c + 173 + 97 = k*x, 0 = x. Is c a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 3*r + 122411 + 122412 - 244830. Give d(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**5)**44\/((f\/(f*f**(-5)))\/f)**17)**18 assuming f is positive.\nAnswer: f**2736","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 515 is divided by 437.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -2*s**2 + s - 3*s**2 + 2*s**3 + 4 + 3*s**2. What is the tens digit of t(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2785 to the power of 1\/2, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -652950 by -15.\nAnswer: 43530","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}