diff --git "a/data/dm_maths/full_data/11144_11255.jsonl" "b/data/dm_maths/full_data/11144_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/11144_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Calculate prob of sequence sss when three letters picked without replacement from svvjqsvjqsjqvqjvjqsv.\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, 129, -0.5, 2\/37?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -2, -0.1, 241?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65*g = -240920 - 449835. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 20939\/52 - 1613\/4. Do 0 and s have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 4*q + 0 - 3*q**2 + 5*q**2 - 4*q**3 + 1 + 3*q**3. What are the prime factors of a(-3)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) 0 (c) -19 (d) -10 (e) -52\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of q**4 - 268*q**3 + 160060*q**2 - 3*q + 57647666.\nAnswer: 12*q**2 - 1608*q + 320120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11774243 a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a litre in millilitres?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (74 - 17) + -26 + -100.\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8 + 38*x - 76*x + 6 - 2*x**3 + 40*x + 67*x**2 in the form k*x**2 + c*x + a + p*x**3 and give k.\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**2 - 4*q. Suppose 0 = m + m + 8. Let h be s(m). Suppose 4*j + h*j = 20. What are the prime factors of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63241 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 682248006 by -17919.\nAnswer: -38074","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d - 8. Let v be m(-9). Let k be v*(-2 - -2 - 107). Let q = -43 - k. Is 7 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(117) + -3 + -4*(-1 + sqrt(117)) - -2*(4 + 2*sqrt(13) + (2*sqrt(26))\/sqrt(2))) + 2)**2.\nAnswer: -24*sqrt(13) + 157","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10\/19 - 68\/57. Let j = -40\/193 + 7927\/1930. Let q = j + -63\/20. What is the nearest to -0.09 in q, 1\/5, u?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 854 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (72\/(-30)*(-5)\/4)\/((-12)\/(-2)). Factor -9\/2*r**2 + i*r**3 + 12*r - 8.\nAnswer: (r - 4)**2*(r - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3118?\nAnswer: 2, 1559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (1 - 16) - (51 + (-74 - -31))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4907689207 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*p - 17*p + 50 = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**2 + m - 1. Let r(g) = -g**2 - 3. Let z = -4 + 1. Let i(w) = z*t(w) + r(w). Find the second derivative of i(s) wrt s.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 33*q. Let p be (2 - 3)*11\/33*-6. Let l(j) = 54 + 58 - 112 - p*j**2. Give l(c(h)).\nAnswer: -2178*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2.954, -134, -2\/35, -1\/5, -1?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**1*s*s\/s**4)\/((s*s**1*s)\/s)**(1\/5)*((s*s*s\/s**(-1\/3))\/s)**17*((s*s**3)\/s)\/s**(1\/12) assuming s is positive.\nAnswer: s**(2471\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17\/12 - -245\/156. Let z = -0.02 - 0.08. Which is the third biggest value? (a) -2\/3 (b) 0.1 (c) x (d) z\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87243353 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 2*r**2. Let n(l) be the first derivative of -1\/6*l**3 + 0*l**2 + 3*l - 1. Let o(b) be the first derivative of n(b). Calculate o(f(t)).\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 221 = -6*j + j, 0 = j - 3*p + 52. Let q = 257\/6 + j. Which is the smallest value? (a) q (b) -3 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-27215)\/(-20) - 1*(-1)\/4 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(1 + sqrt(208) + sqrt(208))*5 - ((1*sqrt(78))\/sqrt(6) + sqrt(13) + 4 + -3))**2*6.\nAnswer: 23424*sqrt(13) + 1162488","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88 = s - 5*s - 18*s. Let m(r) be the first derivative of 7 - 7\/9*r**3 + 16\/3*r + 4\/3*r**2 + 1\/12*r**s. Factor m(b).\nAnswer: (b - 4)**2*(b + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z**4\/5 + 136*z**3 + 2054*z**2\/5 + 1372*z\/5 = 0. What is z?\nAnswer: -2, -1, 0, 343","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -11, -24, -61, -134, -255?\n\"Answer: -2*f**3 + f - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.12 + -12.12. Let l = -12.0027 - m. What is l rounded to 3 dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in thirty-two fifths of a milligram?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 3*n - 8. Let j be 4 + n\/4 - 8. Sort -3, -1, j in descending order.\nAnswer: -1, -3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 527, 525, 523, 521, 519, 517?\nAnswer: 515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8448441 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 44.3144 to 0 decimal places.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 46 (base 13) to base 12.\nAnswer: 4a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*o**3 - 33220*o**2 + 55178420*o = 0. What is o?\nAnswer: 0, 3322","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 3*b**2 + 29*b - 107. Let a be j(3). Let i(h) = 7*h - 53. What is i(a)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:03 AM and 2:58 PM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 1.9, -0.3, -0.2, 0.5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:43 PM and 3:29 AM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 193182?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.3 (b) 0.059 (c) 0 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 h when two letters picked without replacement from ffhhhhh?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i = 3*i - 4 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 31835658 a multiple of 2118?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13 + -26. Let o = l + 17. Suppose 1 = c, -o*c + 1 = -4*x + x. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/90*-85 + 6\/(-27). Which is the smallest value? (a) -6 (b) d (c) 0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssubbbsubdubswbrbuw. What is prob of picking 2 u?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 - 10401?\nAnswer: -10400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -22*o**2*u**3 + 40*o*u + 7758*u**3 wrt o.\nAnswer: -44*o*u**3 + 40*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 + 5*3 + 0. Suppose -8*o + 4*o = -32. Let y(r) = 2*r**2 - 4*r - 5. Let x be y(o). What is the greatest common divisor of v and x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 144.32 to the nearest integer.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7d98 (base 16) to base 10.\nAnswer: -32152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00024733 to five decimal places.\nAnswer: -0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1574009.533006 - -37326.462894. Let q = 1611408 - i. Let t = q - 72. What is t rounded to three decimal places?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gllshlangnn. Give prob of picking 1 l and 1 g.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*1*sqrt(119)*-6)\/((sqrt(7) - sqrt(28)*-5)*4).\nAnswer: 15*sqrt(17)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 197*t - 641688 = 19838. Calculate the remainder when t is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1972*n + 1980 = 1912*n for n.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = l + n, 5*l + 4*n - 4 = 0. Let j = l + 0. Is j\/2*47\/2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 175 + -195. Let z = -10929879 - -10929898.999991. Let m = q + z. Round m to five decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1954*p - 2*p**3 + 3*p**2 + 2*p**3 + 1954*p - 3*p**4.\nAnswer: -3*p**2*(p - 1)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (11*a + 15*a - a)*(-3 + 6 - 2 + (0 - 2 + 1)*(-3 - 1 + 0)) as i*a + l and give i.\nAnswer: 125","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 355 and 5041?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pycz when four letters picked without replacement from phpzzgyyyzc?\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 449 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: Simplify y**2\/((y\/(y\/y**4))\/y) assuming y is positive.\nAnswer: 1\/y","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 10\/25 + 98\/5. Solve 3*r - w + 8 = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -3*j - 4. Let v(l) = 23*l + 12. What is 3*k(y) + v(y)?\nAnswer: 14*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -1, 267 in decreasing order.\nAnswer: 267, 6, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrrzrezzrrea. Give prob of sequence arzz.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -334*b + 2404 = -3274 for b.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -72166, -72169, -72172, -72175?\n\"Answer: -3*p - 72163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*q**2 + 133425*q + 400230.\nAnswer: 5*(q + 3)*(q + 26682)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -27274944 or -27274937?\nAnswer: -27274944","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -5132 (base 6) in base 2?\nAnswer: -10001110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g when three letters picked without replacement from gggsssfsssfsfg?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 4*z - 170886 = 2*p, 170861 = 2*z + 3*p. Let w = z - 50919. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 - 18 = -3*n. Let y = -5 + n. Solve -2 + y = -3*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**2 - 2*p. Let d(x) be the third derivative of x**5\/60 - x**4\/24 + x**3\/6 - x**2. Suppose -2 = -40*w + 39*w. Calculate w*d(g) - s(g).\nAnswer: g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 50117 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1819, -1782, -1647, -1366, -891, -174, 833?\n\"Answer: 8*p**3 + p**2 - 22*p - 1806","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l + 9*q = 4*q - 23, -7*l - 9*q = -5*l + 49 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 36\/326099 and -5\/276.\nAnswer: 90003324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 divided by -4144087.\nAnswer: -12\/4144087","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 29210*a**4 + 2*a**2 + 3*a - 38 wrt a?\nAnswer: 701040*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 17126646 divided by -5708882\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -5*m - 43. Suppose u = -3, -4*w - 52 = -u + 5*u. Let b be z(w). Solve -3*f = -2*n - 4, b*f - 8 = 3*f + 4*n for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -3 - (-11 - -4).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -432006 and -17?\nAnswer: 7344102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -642 + 1739*b + 632 - 5494*b.\nAnswer: -3755*b - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*j - 3*j - 50*j**2 + 4*j**4 - 4 + j**3 + 49*j**2 to the form l*j + i*j**3 + x*j**2 + q*j**4 + a and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 398 divide 20831544?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*b = -13*b - 1 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 47685 and 1199.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9 - 2. Let b(l) be the third derivative of -l**6\/120 + 2*l**5\/15 - 7*l**4\/24 + 2*l**3\/3 - l**2. Is b(p) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**2 - 16*g - 17. Let p be a(17). Let o(d) = 2*d - 33. Let z be o(p). Let k = z + 19. Is -15 >= k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**2 + 90*g - 725. Let b be t(9). Let p = 49 + -27. Calculate the greatest common factor of p and b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + -2 - (360 + -354).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 17 - 17 + 8*x**4 + (-3*x**3 + 2*x**3 + 17*x**3)*(3*x + x + x).\nAnswer: 88*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = -4*d + 99. Suppose 0 = -n + 60 + d. Suppose 5*y - 395 = 2*x, 0 = 4*y - y - x - 237. Is n less than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -361b (base 12) in base 13?\nAnswer: -29c0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**2 + 20*l + 79. Does 15 divide v(-16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -3*r + 48, 0 = -6*r + 5*r + 3. Suppose 22 = -2*v - 0*s - 2*s, -2*s = 5*v + 52. Let a = v - -59. Calculate the remainder when a is divided by y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**3 - 15*z**2 - 17*z + 3. Suppose 10*l + 15*l = 1125. What is the lowest common multiple of b(-14) and l?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -5*a**3 - 3*a**2 - 5209*a - 5206. Give u(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-4)*z*z\/(z\/(z**(-5)\/z)))\/(z**(-1\/2))**(-2\/55))\/(((z\/((z\/(z**(2\/15)\/z))\/z))\/((z**(-6)*z)\/z))\/(z**3*z\/z**(1\/3))) assuming z is positive.\nAnswer: z**(-379\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -998*o - 5393*o - 7804*o to the form y*o + w and give y.\nAnswer: -14195","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 84 - 4 = 0. Let c = -5 + 7. Let o be -1 + (c - 1) + 0. Solve -r + 3*g - 15 = -2*r, o = -5*g + n for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1410? (a) -1 (b) 595 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6 less than -8472?\nAnswer: -8472.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -6 - 151?\nAnswer: -157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 198*m**3 + 2*m**2 - 2*m**2.\nAnswer: 198*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 775657?\nAnswer: 233, 3329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1061742193 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -63\/1303130 and -57\/60410.\nAnswer: 9121910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 2 = 4*f, -7 - 10 = f + 4*z. Suppose 5*j + 5*h = 240, f*j - 3*h - 41 = 103. Solve -6*c - 18 = -j for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3918487*w**3 - 3918568*w**3 - w**2 - 1 + 0 in the form f + p*w**3 + i*w**2 + c*w and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 2\/2065 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 8) to base 15\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = -x - 7*f, 1552*x + 37 = 1555*x + 5*f - 3 for x.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14169.85 litres to millilitres.\nAnswer: 14169850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4.11 - -0.11. Let g = 2490 + -17432\/7. What is the closest to c in 0, 1, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that u**2\/2 - 24363*u\/2 + 35214436 = 0.\nAnswer: 3352, 21011","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in x**2 + 1131 + 268 + 3*x**2 - x**2.\nAnswer: 3*x**2 + 1399","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/6 and ((-12)\/40)\/(9\/327)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2100310303232 - 10?\nAnswer: -2100310303302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 - -20. Suppose d - 4*d = -s. Suppose 2*i - 5*i = -60. Calculate the greatest common factor of d and i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 332 divide 1248078636?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v**3 - 19*v**2 + 80*v + 100 = 0. What is v?\nAnswer: -1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d + 0*d + 3*d + (2 - 2 + d)*(1 + 2 - 5) - 4 + 4 - 3*d - d - d + 3*d)*(-10*d + 12*d + 9*d)*(-18*d - 9*d - 15*d).\nAnswer: 1386*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**3 + 3*o**2 + 2*o. Suppose -2*q = -1 - 5. Determine w(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.047979812 to 2 dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-12)\/(-4)*3*761. Let a = 20749 - h. Round a to the nearest 1000.\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18 - (10 + (-7 - -10))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 4*y + 452 = 0, -3*g + 4*y + 351 = -337. Suppose -57*w = -c - 56*w + 49, -29 = -c + 3*w. Calculate the highest common divisor of g and c.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -997\nAnswer: 5\/997","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**3 - 6*g**2 - 3*g - 10. Let k be i(-6). Suppose -175 + 567 = k*j. Is j a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -68, 142, 354, 568, 784, 1002, 1222?\nAnswer: 1444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**2 + 2*p + 1. Let q(s) = -s**2 + 5*s + 34. Let n be q(9). Let w be a(n). Let h = -28 + 32. Solve b = -y - 0*b, -5*y = h*b - w for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 157801?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 2*x**2 - 23*x + 460. What is q(22)?\nAnswer: 922","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 108\/5 - (-2 + (-63)\/(-105)). What is the greatest common factor of g and 207?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 106673 to the nearest integer?\nAnswer: 327","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4451263 + 4449228 + 18*w - 16*w.\nAnswer: 2*w - 2035","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 58 + -76. Let j be u\/(-15)*75\/6. Calculate the highest common factor of j and 75.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 5*x + 98 = 0, -4*z + 2*x = -x - 138. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 5\/40*-8*-4193?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 - -1. Let i = 0.4783 - 0.0783. Let k = 301 - 2405\/8. Which is the closest to s? (a) k (b) -1\/7 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(242) + -4 + 3 + 3*(-5 + sqrt(242) + 5))*-1)**2*-5.\nAnswer: -19380 + 880*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 619 times 0.03\nAnswer: 18.57","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1685 = -5*h - 53*v + 58*v, -21 = -3*v. Is -329 < h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1147291871?\nAnswer: 11, 73, 129887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -886528210*v - 589727434?\nAnswer: -886528210","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) -2\/3 (c) 4 (d) -774\/7 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16.48 - -17. What is u rounded to 1 decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -54*w - 70*w**2 - 65*w**2 + 186*w**2 + 3*w**3.\nAnswer: 3*w*(w - 1)*(w + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 85.39 - 85. Let k = i + -0.19. Which is greater: 1 or k?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-40)\/(-3))\/(58\/261). Calculate the highest common divisor of 780 and k.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**2 - 6*z. Let a be n(-5). Suppose 0 = x - a*r + 1, -2*x + 6 = -2*r. What is the third derivative of -2*u**2 + 3*u**4 + 0*u**x + 0*u**4 wrt u?\nAnswer: 72*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81402487 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.084? (a) 11 (b) 0 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 192187 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q**2 - 17*q + 17*q)*(1 + q - 1)*(6 - 2 - 2).\nAnswer: 4*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 1547?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18689*-14.\nAnswer: -261646","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1 (b) 17 (c) -0.046 (d) -1\/7 (e) 899 (f) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b + 4*u + 2186, -8*b + 3*u = -2*b - 13074. List the prime factors of b.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5731 divided by 83724.\nAnswer: -5731\/83724","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 355011224 (base 6) in base 11?\nAnswer: 3848915","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 20*t - 43. Let a(s) = s - 3. What is 4*a(h) - m(h)?\nAnswer: -16*h + 31","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2372*z - 2397*z = -233681 for z.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -330? (a) -7 (b) -2705 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + (-1781)\/(-195) + 167*2\/(-30)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 164\/(-432) - (-2)\/8 and ((-7)\/(-3))\/((-4)\/3)?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = 4*g - 3*d + 7, g + 2*d = 1 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w + 15 = -2*w. Suppose -w*y + 60 = -y. Is 10 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 969.\nAnswer: 3, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -s + 3*l + 10, -24*l + 5 = -25*l for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66*a + 91 - 544 - 141 = 0. Let m(c) = -c**2 - 21*c - 91. What is m(a)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (30\/65)\/(-3)*-13. Let h(v) = 4*v - 20. Let g be h(5). Solve g = -5*k + 4*w - 15, m*k = 5*w - 7*w + 12 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 q when four letters picked without replacement from {s: 4, q: 6, k: 1}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -2\/5, -115, -4, -1524, 0, 5?\nAnswer: -1524","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are 19 and 19 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -333372 by 12.\nAnswer: -27781","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 4*s**3 + s**2 + 2*s - 3. Let u be -3*(-10)\/6 - (-1 + 4). Let f be b(u). Suppose -f*n + 41*n = 1024. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 20\/891 and 40\/48411.\nAnswer: 145233","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((2 - -1) + -63)\/(5\/15). Calculate the common denominator of 3*5\/r + -3 and 109\/14.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from twtoooottoo. What is prob of sequence twto?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1548347 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -18 + (-1 + (-11 - (10 - 20)) + -6 - -15)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(33\/(-12) + 3). Let x be 6\/18 - k\/3. Let z be 2*-1 - 4\/(-4). Is x at least as big as z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 2*l - 5*l + 15, 2*t + 25 = 5*l. Let x(v) = -1419*v - v**3 - 2 - 1422*v + 2843*v. Let w(n) = n**3 - 3*n + 2. Give l*x(i) + 4*w(i).\nAnswer: -i**3 - 2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - (-1 + -13)) + -31?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -21 + 2*x - 2*x - 2*x + 6*x. Let w be u(6). Let c = -1 - -1. Sort -2, c, w in increasing order.\nAnswer: -2, c, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a minute in seconds?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 2*g = 726, -192 = -4*f + 3*f + 3*g. Let q = 566 - f. List the prime factors of q.\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -13*o + 82. Let s be x(6). Suppose 4*b + 3*f - 4*f - 6 = 0, 3*b + s*f + 5 = 0. Solve 0 = 4*h - 3*j + b, -7 = -5*h + 5*j - 2 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1230668 is divided by 158?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2 + 9\/((-36)\/(-80)). Is 19 less than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-10)\/(-15)*12\/8 + 7. Calculate the highest common factor of q and 64.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 253\/5 - 247\/5. Let i = 12948 + -12948. Factor -h*w**3 + 6\/5*w - 3\/5*w**4 + i + 3\/5*w**2.\nAnswer: -3*w*(w - 1)*(w + 1)*(w + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*c + 6*c = 4. Let d be (0 - (2 - -1)) + 4. Let j be (c - -36)\/(d - 0). Solve l - j = 5*g + 6*l, -4*l - 24 = 3*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 182071347*p**3 + 513*p**2 - 2852 wrt p?\nAnswer: 1092428082","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 136 - 115. Suppose 0 = 3*r + 3*t + f, 0 = 3*r - 2*r - 4*t - 8. Let w(n) = -4*n - 4. What is w(r)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 777*l + 5440. Give j(-7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12 - -2) + 7 - -7.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4.304598 - -0.1.\nAnswer: -4.204598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:40 AM and 2:13 PM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 39\/(-6)*(-2)\/1. Suppose -27 = -5*a + k. Let h(v) = v**3 + 5*v**2 - 4*v - 5. Calculate the remainder when h(-5) is divided by a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -6610, 0, 4, 2, -0.5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + s**2 - 2*s**2 + 4*s**2.\nAnswer: 3*s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5411c (base 14) to base 4.\nAnswer: -301220032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 2 - 2)*(3475*x**3 + 123482*x**2 - 123482*x**2)*(-1 - 3 + 2) in the form l*x**2 + h*x + v + b*x**3 and give b.\nAnswer: -13900","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-24)\/(-136) + (-300)\/(-34). Let v(l) = -l**3 + 9*l**2 + 2*l - 16. What is v(x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2235251m in nanometers?\nAnswer: 223525100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -5*j**2 - 12571835*j = 0.\nAnswer: -2514367, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/4560 and -161\/221160.\nAnswer: 442320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hjy when three letters picked without replacement from {e: 5, j: 1, m: 1, h: 1, y: 1}?\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2, 6, 10, 14, 18?\n\"Answer: 4*m - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 182*v + 251*v + 190*v - 399*v.\nAnswer: 224*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 - -2 - -6 - ((2 - -1) + -12)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**2 - 9*p + 3. What is j(-10)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the first derivative of f**4\/4 + 3*f**3 + 7*f**2\/2 + 4*f - 1. Let y be i(-8). Solve -4*j + y = -7*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10455 + 2610 = 15*a. Find s such that 199 - 648*s**2 + 226*s**4 + 92*s**3 + 489*s - 999 - 230*s**4 + a*s = 0.\nAnswer: 1, 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z - 8. Let f(h) = -1. Let l(q) = 6*f(q) - t(q). Suppose -5*x + 9 + 1 = 0. What is the remainder when l(2) is divided by x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104\/64*2 - 3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + q = 7, -482 = -p + 2*q - 495. Which is the second smallest value? (a) -1\/9 (b) p (c) 6 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -111 + 110. Let v(o) = -o**2 - 2*o - 1. Let m be v(s). Suppose m = 56*g - 52*g + 76. Is -19 not equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -29774 - -29765. Sort b, -4, 5, 239.\nAnswer: b, -4, 5, 239","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 107*c**2 + 99*c**2 - 2*c**3 + 115*c**5 - 3*c**3 + 5*c**3 wrt c.\nAnswer: 6900*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -81.0542926 - 1\nAnswer: -82.0542926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 31 and 496?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**3 + 256*s**2 - 1046*s - 1614. What is a(-260)?\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*p + 1 - 1 + (p - p + p)*(-3 + 2 + 0) - 4*p + 5*p - 2*p + (-7*p + 3*p - p)*(1 - 1 + 2) to l*p + c and give l.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15408264?\nAnswer: 2, 3, 642011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the first derivative of -230*p**3 + 622. Let i(s) = 2*s. Calculate f(i(r)).\nAnswer: -2760*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 2*a**4 - 6*a**3 - 6*a**2 + 6*a - 12. Let b(k) = k**4 - 7*k**3 - 7*k**2 + 7*k - 12. Let q(i) = -6*b(i) + 7*x(i). Differentiate q(v) wrt v.\nAnswer: 32*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the first derivative of f**3\/3 + 3*f**2 + 7*f - 3. Give n(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 4*h + 6. Let o be 2 + -2*3\/h - -1. Suppose 3*n - i + 3*i = 149, 0 = -2*n + o*i + 86. What are the prime factors of n?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 0.7799677mm?\nAnswer: 0.0000007799677","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1\/9)\/((-5)\/6). Let v = -910 - -913. Which is the third biggest value? (a) f (b) 4\/7 (c) 2\/17 (d) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x - 4 = 0, -2*f + 6 = -f + 5*x for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2079 - 2052. Calculate the remainder when 159 is divided by o.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times -5\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 269*c + 1306.\nAnswer: 269","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.3 - 893633824.\nAnswer: -893633821.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**3 + 3. Let n be x(0). Suppose 4*u = n*u, -3*g + 5*u = -12. Calculate the remainder when g is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:49 AM and 5:17 AM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -764306 * -37\nAnswer: 28279322","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -381*z = 74*z + 15015 for z.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 58*w**2. Let z(q) = 27*q. What is g(z(v))?\nAnswer: 42282*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4916 and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 949286?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and -5.43259.\nAnswer: -2.716295","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -150 + 241. Let t(f) = -f**3 - 3*f**2 + 4*f - 1. Let r be t(-5). Let h = -16 + r. Calculate the highest common factor of h and q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -36480*i**3 + 102*i**2 + i - 2.\nAnswer: -218880","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10 or 1869370?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -755865*b**3\/2 - 2130143*b**2\/2 + 206176*b - 6 = 0?\nAnswer: -3, 2\/68715, 2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -0.6, 1\/2, 3, 191, -18, -4\/7, 2\/5?\nAnswer: 191","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 + o**2 + (4*o + 55 - 55 - o + o + 6*o + (0 + 4 - 2)*(-o + 3*o - 4*o))*(1 - 1 - 2*o).\nAnswer: -11*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qzqcqeeqezce. What is prob of picking 2 z and 2 q?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 25 - 28. Do -4 and y have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d - 4*j + 5 - 4, -d + 2*j - 11 = 0. Let n be 36\/(-12)*10\/d. Calculate the greatest common factor of n and 80.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -1 + 3, -1 = -5*y + 4*k. Let d be 96267\/15 - y\/(-5). Is (-4)\/(-26) - d\/(-26) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 58820?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*h + 10*h + 15*h + 6*h**2.\nAnswer: 6*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 5, q: 4, v: 1, j: 3}. What is prob of sequence jjq?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes after 4:36 AM?\nAnswer: 3:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*k + 6*k = -4*v + 2022, -5*k + 2057 = 4*v. List the prime factors of v.\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 189129?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14259\/20 - 2851\/4. Let s(u) be the third derivative of -3\/2*u**3 - 1\/70*u**7 + 3*u**2 + 0 + l*u**5 - 1\/20*u**6 + 1\/4*u**4 + 0*u. What is h in s(h) = 0?\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 144 = -2*v + 42*v - 4*v. Let b(d) = -11*d**2 - 4*d + 13. Let c(p) = 5*p**2 + 2*p - 6. Determine v*b(s) + 9*c(s).\nAnswer: s**2 + 2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 (base 8) in base 10?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68 is divided by ((-40)\/(-6))\/(8\/12)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 4, c: 1, n: 9, e: 1, l: 1, v: 4}. What is prob of picking 1 v and 1 n?\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -696, -1338, -1968, -2580, -3168, -3726, -4248, -4728?\n\"Answer: h**3 - 649*h - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -5 - -1 - (5 - -8508). Let o = -5517 - w. What is o rounded to the nearest 1000?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1.4 and -0.82.\nAnswer: 0.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -25 + (9 + 1 - (66 - 62))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 725 and 87?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 1.2 (b) 2\/9 (c) -2\/15 (d) -4\/7 (e) -5 (f) 1066\/5 (g) -2\/13\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.5 - 0. Suppose -59 = w - 55. Which is the closest to w? (a) 0.4 (b) y (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 25016 and 530.\nAnswer: 125080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1\/5, 1\/23, 3\/10?\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 278 + 214 = -24*w - 116 - 88 for w.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 13 (b) -1\/3 (c) -2 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in one tenth of a gram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 21335000 to the nearest 1000000.\nAnswer: 21000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 224672 and 9086.\nAnswer: 2471392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59272.\nAnswer: 2, 31, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, a: 2, w: 10, f: 2, l: 1, q: 2}. What is prob of sequence rqww?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1700) + 2*(sqrt(1700)*2)**2 + sqrt(1700))*-4 + 1*(sqrt(1700) + 2 + -3)**2)*6 + -1.\nAnswer: -316195 - 600*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1414550 (base 6) in base 14?\nAnswer: 212b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 175*t**2 - 180 + 7*t**3 + 669*t - 189*t + 8*t**3.\nAnswer: 5*(t + 6)**2*(3*t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 2*i = -2*k + 17, 2*k + 13 = 3*i. Suppose -2*q + 6 = 2, 177 = i*o + q. Let d = o - -9. What are the prime factors of d?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (26\/10 - 1)\/((-8)\/(-2020))?\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.1, -0.5, 0.9, -139, 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5455382 rounded to four dps?\nAnswer: 0.5455","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11010210 - 101022022101?\nAnswer: -101110110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74*y - 330 = 57*y - 1771 for y.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 17.56164 - 6482504.\nAnswer: -6482486.43836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h + 14. Let t be c(-3). Suppose 9*l - t - 7 = 0. Suppose -l*a - 43 + 49 = 0. Solve 2*m - d - 8 = 0, 3*m + 8*d = a*d + 12 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0*178939\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**3 + 8*d**2 - 7*d - 10. Let v be g(6). Calculate the greatest common divisor of v and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 0.779, 1\/12, -1.4 in descending order.\nAnswer: 9, 0.779, 1\/12, -1.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l + 1. Let c be f(6). Suppose 2*g - 10 = 4. What is the greatest common factor of c and g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 65 + -65. Suppose 0 = -3*u - 4*t + 56, g*t = 5*u - 2*t - 102. Suppose -5*y + 105 = 5*p - u, 0 = -5*p + 15. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes before 2:01 AM?\nAnswer: 9:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y + 90 = -1158. What are the prime factors of y?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**3 + 2*x**2 + 577*x + 39. Give s(-23).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -5*j**2 + 4*j - 20. Let q(b) = -3*b**2 + 2*b - 12. Give 6*a(c) - 11*q(c).\nAnswer: 3*c**2 + 2*c + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -14*y - 59. Let w be p(-7). Put -5, -2, w in decreasing order.\nAnswer: w, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 610864 (base 9) to base 13.\nAnswer: c8755","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -5*s**2 + 9*s. Let j = 0 + 2. Suppose j*y - 4*v - 4 = -y, y + 2*v - 8 = 0. Let g(u) = 2*u**2 - 4*u. Give y*o(w) + 9*g(w).\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/80 and 73\/100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve l = 5*a + 51, 0 = 3*l - a + 2*a + 7 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1728\/11 + 157. Let v(y) = y**2 + 6*y + 1. Let r be v(-5). Let f(x) = 18*x - 522. Let j be f(29). Which is the closest to j? (a) m (b) r (c) 10\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-10)\/l)**(-1\/36) assuming l is positive.\nAnswer: l**(11\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18 - (28 - (-18 - -15))) + 44.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (58 - 4) + (1 - 13). What is the highest common factor of 357 and l?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -37, 202, 731, 1562, 2707?\nAnswer: 4178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 5*w**2 - w - 1. Let v be p(-1). Let u = -47 + 45. Let d be (u + 3)\/(-1*(-3)\/9). Put d, v, 0 in decreasing order.\nAnswer: v, d, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**2 - 172*z + 5772. Let u be p(126). Let b(m) = -m**3 - 26*m**2 - 45*m + 71. Determine b(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 9, 14, 17, 18, 17, 14?\n\"Answer: -k**2 + 8*k + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 149\/60 and -27\/55.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3\/(-3))\/((-2)\/(-10)). Which is the third biggest value? (a) -1\/7 (b) 5 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.109 + -12970394.\nAnswer: -12970394.109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 0*n + 240 = 4*n, 2*m - 128 = -4*n. Calculate the highest common divisor of m and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -595\/3 - 838\/15. Let d = -253 - j. Which is bigger: d or 0?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21042022 (base 5) to base 13.\nAnswer: -61648","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 0*c - 11*c = 16*c. Is c at least as big as -4\/1377?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c. Let m(b) = -285*b - 3. Calculate m(j(d)).\nAnswer: -285*d - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67567 is divided by 22431?\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2031 is divided by 44?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 5*r**2 - 21*r + 58. What is the remainder when a(3) is divided by 15?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*c + 23 + 7 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -15 and -10.45.\nAnswer: 156.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 118*c. Let x(j) = 22*j**2. What is k(x(h))?\nAnswer: 2596*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -6 from -13931820277676.\nAnswer: -13931820277670","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -58558666 divided by 2.\nAnswer: -29279333","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 3)*(-1 + 1 + 3*b + (0 + 1 + 0)*(b + 3*b - 2*b) + 4*b + 13 - 13).\nAnswer: -27*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2b - -41?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence um when two letters picked without replacement from {u: 4, m: 2, j: 1}?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 5*o**2 + 5. Let j(n) = 3*n**2 + 3. Suppose 0 = -5*k - 2*w + 13 + 2, 5 = 5*k + 4*w. Let p(g) = k*a(g) - 8*j(g). What is the derivative of p(d) wrt d?\nAnswer: 2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/139097 less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 297 to the power of 1\/2, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 48295546?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*r - 15*r + r**2 + 70*r**4 - 2*r**2 in the form s*r**4 + l*r + h*r**3 + p + i*r**2 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, k: 8, y: 4, q: 2}. Give prob of sequence kyk.\nAnswer: 16\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 3 = 4*a, 0 = -a - 9*f + 6*f - 12. Solve -2*j - w = -0*j, a*w = 4*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -177\/130 - -25\/26. What is the closest to -1 in r, -0.51, -4?\nAnswer: -0.51","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-3\/29)*q\/q**(-33)*q assuming q is positive.\nAnswer: q**(1012\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -21 + 12 + 10 + 1 + 3\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/45*20\/8.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -4*j - 8. Suppose 2*k = 2*h - j, 0 = -5*h + 4*k + 6 + 10. Suppose h = 5*g - 0*g - 30. Solve 2 = 2*o - 4, 2*o = 3*a - g for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8154174?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 39722233?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 300 and 120.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 395, 775, 1155, 1535, 1915?\n\"Answer: 380*g + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**3 - c**2 + 2*c - 40. Let o(d) = 7*d**3 + 2*d**2 - 12*d + 112. Determine 2*g(k) + o(k).\nAnswer: 5*k**3 - 8*k + 32","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.28863 to three dps.\nAnswer: -2.289","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -15138 * 39.\nAnswer: -590382","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ru when two letters picked without replacement from {s: 2, w: 1, g: 1, e: 1, u: 1, r: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 647?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**3 - 6*a**2 - 2*a - 8. Let v be s(-6). Let m = 420 + -276. Suppose 2*x + 422 = 5*r, 3*x - 212 - m = -v*r. Round r to the nearest 10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:42 AM and 4:13 PM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 965900 to the nearest one hundred thousand.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17297?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 58443*b**3 + 162*b**2 - 34*b - 1?\nAnswer: 350658","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**3 - 7*i**2 - 6*i + 4. Let g be s(-6). Let x be -1*(-5)\/(-55)*-1. Which is the second biggest value? (a) -2 (b) x (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -25*j**3*v**2 + 389*j**3 + 2*j**2 + 19368*j - v**2 wrt j?\nAnswer: -150*v**2 + 2334","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91*n + 276441 - 4519901 = -4*n. List the prime factors of n.\nAnswer: 2, 13, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_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: Find the common denominator of -59\/584 and 79\/48.\nAnswer: 3504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*k = 168 + 8 + 289 for k.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*a - 24*a + 9*a + 233)*(2*a**3 - 6*a**3 + 3*a**3).\nAnswer: 2*a**4 - 233*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -4*j + m + 36, 4*j + 3*m - 32 = 0. Suppose z = h - 1, -3*h + 2*z = -3*z + j. Which is the biggest value? (a) 3\/5 (b) h (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((r*(r**(-1\/10)\/r)\/r)\/r)\/r)\/r*(r\/(r*r**3))\/r*r**(6\/7)*r**6)**(-18) assuming r is positive.\nAnswer: r**(783\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*s + 121 + 66. Let q(d) = -d**3 + 16*d**2 + 27*d + 15. Is q(s) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1437 + -1439. Let s be (n\/(-5))\/((-231)\/(-55)). What is w in -32\/21*w + s*w**2 + 128\/21 = 0?\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -87.2325 to the nearest 10.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 7*v**2 - 63147*v + 252601. Determine s(4).\nAnswer: 125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -49, -198, -609, -1414, -2745?\nAnswer: -4734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*d**3 + 32*d**3 - 1004*d + 1004*d.\nAnswer: 19*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 955?\nAnswer: 5, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the first derivative of 0*k + 0*k**3 + 6 - 7*k**2 + 1\/8*k**4. Let x(p) be the second derivative of l(p). Let q(y) = 6*y**2. What is q(x(d))?\nAnswer: 54*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 5\/4 of a century?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 73 (base 16) in base 14?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 17*z = 108. Let h be (-96)\/z*(-6)\/4. Let l(k) = 5*k - 52. What is the remainder when 109 is divided by l(h)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(6\/20)*(3744\/65)\/36.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 54902797 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.04, 2, 1, 300, 37\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.52729 rounded to two dps?\nAnswer: 0.53","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29761*p - 29755*p + 6 = 4*j, 5*j - 18 = -3*p for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*n = -52*n - 162 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*o**3*q**2 - o**3 - 2*o**2*q + 13*o*q**5 + q**2 - 46*q wrt q.\nAnswer: -4*o**3 + 260*o*q**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -911 - -913. Let m(b) = 1. Let a(c) be the second derivative of c**3\/3 - 9*c**2\/2 + c. Calculate d*a(q) + 18*m(q).\nAnswer: 4*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the second derivative of -141*m**3\/2 + 3*m + 40. Let o(s) = 2*s. What is v(o(d))?\nAnswer: -846*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 302613901?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 2*t = -10, -2*m - 7 = t - 4*t. Put 0, -0.07, m, -2 in descending order.\nAnswer: m, 0, -0.07, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 224\/215 + -110953\/113305. Let b = -9625\/61132 + t. Calculate the common denominator of b and -49\/18.\nAnswer: 1044","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.24 times -128104\nAnswer: -30744.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*u - 5950 + 2949 - 6206 - 14216 + 3546.\nAnswer: 5*u - 19877","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the first derivative of o**4\/2 - 7*o**3\/3 - 97*o**2 - 66. What is the second derivative of r(t) wrt t?\nAnswer: 12*t - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 21 + -21. Let y be ((-10)\/(-15))\/((-7)\/((-126)\/4)). Suppose y = 2*m - 5. Sort k, -4, m in decreasing order.\nAnswer: m, k, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -31*c*f**2 - 3*c*f*i - c*f + 2*c*i + 12*f**3*i + f**3 wrt i.\nAnswer: -3*c*f + 2*c + 12*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(125) - (sqrt(125) - (sqrt(125) + 1)) - sqrt(125)) + 3)**2.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g**4\/5 + 2758*g**3\/5 + 2044741*g**2\/5 + 39466980*g + 1023880500 = 0. What is g?\nAnswer: -1325, -54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*r**2 - 2*r**2 + 3*r**2 + (3 + r - 3)*(1 - r - 1) - 3*r**2 - 1 + 1)*(6 - 1 + 1).\nAnswer: -102*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**3 - u**2. Let z(n) = -23*n**3 - 3*n**2 + 31. Let w = -36 + 41. Let r(l) = w*g(l) - z(l). Find the first derivative of r(j) wrt j.\nAnswer: 54*j**2 - 4*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (-9 + -7 + 8)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32469 is divided by 543.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 16052260 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 74*m**3 - 31 - 72*m**3 + 2*m - 5*m in the form y*m + o*m**3 + b*m**2 + u and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -40 + 21. Let g be h*(-1 - 1) + 4. Suppose 0 = -3*k + 3*b + 150 - g, -5*k = -3*b - 172. Is 16 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 201019.3l to millilitres.\nAnswer: 201019300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 + 17 + 30 + -113?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 225, 503, 1283, 2817, 5357?\nAnswer: 9155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -188, -205, -240, -299, -388, -513, -680?\nAnswer: -895","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 38*l**2 - 14*l - 27. Let w be n(-2). Let v = w - 763\/5. What is the closest to 0.1 in v, 2, -3\/7, -19?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 6 = -2*q, 3*q - 1 = t - 20. Suppose 2*d + 2 = 10. Let f be 1\/t + 15\/d. Solve 5 = l + f for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p**2 + 2*p**2 - 3*p**2)*(33 + 27 - 66 - p).\nAnswer: 2*p**3 + 12*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q = 4*h + 11, 18 - 70 = -11*h + 5*q - 26 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1569, 13029, 44255, 105129, 205533?\n\"Answer: 1647*c**3 + c**2 - 72*c - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 143 = 5*l + 53. Let k be 3\/(-2)*(-24)\/l. What is the second derivative of f**5 - 6*f**2 + 2*f + 6*f**k wrt f?\nAnswer: 20*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15356754557 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b + 4*n + 68, 6*b - b = 3*n + 128. Is 6 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1010011111010010110100 (base 2) to base 16.\nAnswer: -29f4b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4b81aa (base 14) in base 11?\nAnswer: -15135a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10415565 and 663750?\nAnswer: 2655","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express u + u**2 + 1 - 4 - u as o + v*u**2 + r*u and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least -18\/53?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 799 = -2*b - 21*k + 308, -10*b + 0*b - 2*k - 47 = 39 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -434239 <= 41?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 11, -1\/3, -61.1848 in descending order.\nAnswer: 11, 5, -1\/3, -61.1848","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -365 + 367. Find the second derivative of u*r - 85*r**3 - 6*r**3 + 6*r**5 - 21*r**3 - 8*r**5 wrt r.\nAnswer: -40*r**3 - 672*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3*-2)\/((-4)\/(112\/21)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k - 3*w + 16, k = 2*k + 5*w - 12. Suppose k*r - 4 = 2. Find o, given that -3 - r*o**2 + o**2 + 5 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1012984730?\nAnswer: 2, 5, 101298473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1201 + 17?\nAnswer: 1218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s**3 - 3*s**3 + 0*s**3 + 8*s**3 - 16*s**2 + 16*s**2 + (0*s + s + 0*s)*(-3*s**2 + 2*s**2 + 2*s**2))*(-1 + 1 - 4*s)*(4 - 4 - 4).\nAnswer: 128*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6293985 is divided by 127?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 40, 51, 92, 181, 336, 575, 916?\nAnswer: 1377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -y**2 - y**2 - 66*y**3 + 133*y**3 - 22 - 2*y**2 - 64*y**3 to h*y**2 + j*y**3 + x + a*y and give h.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 - -13. Find the common denominator of -1 - (1 - 63\/(-4)) and (m\/(-75))\/(8\/282).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:13 PM and 7:42 AM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 g when two letters picked without replacement from fggss.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate c**3*q**2 - 2*c**3*q - 1331*c**3 + 44*q wrt q.\nAnswer: 2*c**3*q - 2*c**3 + 44","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**3 + 236*u**2 - 345*u + 31042. Calculate n(-238).\nAnswer: -136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -382*h = -379*h - 4*k - 17498, 3*h + 2*k - 17504 = 0. What are the prime factors of h?\nAnswer: 2, 2917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f + 3*j - 16 - 19, 0 = 3*f - j - 75. Suppose 0 = g - 7 - 2. Let r = g - -4. What is the highest common divisor of f and r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 421, 2785, 9025, 21079, 40885?\n\"Answer: 323*o**3 + 103*o - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 48.4566 + -1238.\nAnswer: -1189.5434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**2 - p. Let o(l) = -8*l**2 + 3*l. Let i(v) = -2*v**2 + 5*v + 53. Let d be i(8). Let u(r) = d*n(r) - 5*o(r). Factor u(t).\nAnswer: 5*t*(t + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 - -8. Let b(a) = -a - 2. Let z be b(-2). Let f be 0\/(-4 + (2 - z)). Solve -n + s*n + 2 = f for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 - 7)*(-25 + 25 + 54*k).\nAnswer: -324*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the first derivative of 3*b**3 - b**2\/2 - 9*b - 3. Suppose 6 = 3*x + 18. Is y(x) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -5 (b) -0.03 (c) 3 (d) 2 (e) 0.2 (f) -1\/12 (g) -2\/1995\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 398.\nAnswer: 2, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes before 12:23 AM?\nAnswer: 9:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -4, -1\/3, 2, 18, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 89751 or 89743?\nAnswer: 89751","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 782883.6 millilitres to litres.\nAnswer: 782.8836","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3 * -126\nAnswer: 378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:05 PM and 5:36 AM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2379 and 858?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 483193 - -43.6.\nAnswer: 483236.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**2 + 2*p - 3. Let z be l(3). Let m = -0.01 + -0.29. Let b = -810 + 810. What is the fourth smallest value in m, z, b, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34535 a multiple of 123?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -33 + 28. Let h be (6\/u)\/((-28)\/70). Suppose 0 = -p - 1 + h. Solve 3*t + 2*r - p = 0, -2*r - 14 = -4*t + 3*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1085)\/50995 + (-2020)\/47\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 94391 + -66593. Is 128 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -523 - -527. Put 4\/7, 3, 49, n in descending order.\nAnswer: 49, n, 3, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes after 5:55 AM?\nAnswer: 11:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/(k\/k**5*k)*k**2*k**(-5)\/(k*k*k**(-2)) assuming k is positive.\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/40)\/(8\/90)?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 - -10200?\nAnswer: 10122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 + -15 - (-3 - -11)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 223?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -177*n - 1308 + 4140 for n.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2827, 5655, 8485, 11317, 14151, 16987?\n\"Answer: o**2 + 2825*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-999)\/(-1512)*16)\/((-2)\/(-1022)) a multiple of 146?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the first derivative of o**3\/3 + o**2 - o - 613. Let m = 10 - 14. Determine f(m).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/29, -3\/7, 2, -0.1, -1\/5 in ascending order.\nAnswer: -3\/7, -1\/5, -0.1, -1\/29, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2133*b**4 - 19*b - 16?\nAnswer: -25596*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * 2594837.\nAnswer: -7784511","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2407723 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v - 72 - 24. Let p = v - 36. Which is the fourth biggest value? (a) 2 (b) p (c) -0.1 (d) -19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:36 AM and 6:46 AM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s - 2*s - 3*t + 10, 5*s + 2*t - 18 = 0. Let x be (15\/(-6) - s)*-2. Let n be (-8)\/36 - 34198\/x. Round n to the nearest one thousand.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the third derivative of a**8\/5040 + a**7\/1260 + a**6\/1080 + a**3\/3 + 4*a**2. Let u(d) be the first derivative of b(d). Factor u(t).\nAnswer: t**2*(t + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 3*w - 6. Let f be q(3). Suppose -25 = -f*c - 10. Let k(i) be the first derivative of i**2 - 4*i - 1. What is k(c)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1095517.\nAnswer: 67, 83, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7.8 + -8. Let t = 6.63 + -1.63. What is the second smallest value in t, -4, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7165 = 10*k - 10655. List the prime factors of k.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 17055, 1\/2, 4 in ascending order.\nAnswer: 1\/2, 4, 17055","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -78994530 rounded to the nearest one hundred thousand?\nAnswer: -79000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(252) + (sqrt(252) + sqrt(252) + -2*sqrt(252))*2) + ((-1 + sqrt(252))*2 - (-2 + 1 + sqrt(252))))**2.\nAnswer: -36*sqrt(7) + 2269","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**2 + 24*u + 13. Let r be n(-23). Let m(i) = i**3 + 11*i**2 + 2*i + 6. Let y be m(r). Suppose -y*j + 82*j + 8 = 0. Solve -j = 3*q - q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -50 - -50. Suppose n = 2*v + x - 28, 3*x + 51 = v + 2*v. List the prime factors of v.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 17*l - 104. Calculate t(29).\nAnswer: 389","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gggggg. Give prob of picking 2 g.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.07, -0.09, 2\/3 in increasing order.\nAnswer: -0.09, -0.07, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 28, 39, 34, 13?\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 63175823 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -855, -9185, -17513, -25839, -34163, -42485, -50805?\nAnswer: -59123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 5 = -j. Let o = 3 - 1. Sort o, j, -3\/5 in descending order.\nAnswer: o, j, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -246 = -4*x - 2*d, 0*x - 5*x - 5*d + 315 = 0. Suppose 9*h - x = -3*r + 4*h, 4*h - 12 = 0. Is r a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -7*t - 39. Let y be n(-13). Solve 0 = -y*i + 55*i - 9 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 + 3. Suppose x*g - 6 = -2. Suppose 0 = -2*y + 5*w + 33, -8 = -4*y - 2*w - g. Solve -y*p - 10 = 6 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 2*u**2 + 28*u - 13025. Calculate f(74).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 866 + -877.35. Let j = c - -4.35. What is the third smallest value in -5, j, -5\/2?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*b + 5*b - 5*b + b**4 + (198*b - 198*b + 10*b**4)*(-3 + 4 + 2) to the form v + y*b + h*b**4 + i*b**2 + k*b**3 and give y.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 12) in base 13?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 10 = 0, 5*y - 2*c + 97 = 342. Let n be (1\/(-1))\/((-1)\/y). Suppose 89 = 4*g - n. Calculate the greatest common divisor of 34 and g.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1550378 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 8309881549 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 137.8 - 1320229841\nAnswer: -1320229703.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 - (-16 + 1)\/5. Solve 4*m = k + 10 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 669055172?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 95859319?\nAnswer: 89, 103, 10457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-7912)\/(-52) + (-2)\/13. What is the highest common factor of 19 and r?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28047029 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -600, -1201, -1802?\nAnswer: -2403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -c - 3*v, -3*c + 13*v = 12*v - 3. Find the common denominator of c and 1\/(-2) + (-195)\/(-54).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 388*y**2 + 404*y**2 - 15*y - 882*y**2 to the form s*y + v*y**2 + z and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 41\/2 of a micrometer in nanometers?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 271, -1, -112 in ascending order.\nAnswer: -112, -3, -1, 271","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 8)*(-2*g**3 + g**3 + 6*g**3).\nAnswer: 30*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57726.\nAnswer: 2, 3, 1069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*f - 10 = 47*f. Let t be 206\/14 + f\/(-35). What is the highest common divisor of t and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -542 and 20.\nAnswer: -10840","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-48)\/92)\/(2121\/(-32522))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.75742426 to 1 decimal place.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence efd when three letters picked without replacement from eeffd.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.1079 - -183.5079. Are 0 and a unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -261, -533, -725, -795, -701, -401, 147, 985?\n\"Answer: 7*f**3 - 2*f**2 - 315*f + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3c2a7 - 43?\nAnswer: -3c31a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -4*j - 12, -2*v = 4*j + v + 10. Let m = 0.05 + -0.35. What is the nearest to -0.1 in -5, m, j?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*j**3 - 60*j - 7*j**3 + 116*j - 56*j.\nAnswer: 2*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -22*y**5\/9 + 17818*y**4\/9 - 3570916*y**3\/9 - 14991428*y**2\/9 + 16888058*y\/9 + 1656490\/9 = 0. Calculate y.\nAnswer: -5, -1\/11, 1, 407","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*a + 577 - 3628 - 1674. What is the remainder when a is divided by 55?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -120 + -2100222?\nAnswer: -2101112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -29078 + 29083. Solve 2*t + 4*s = 4, -f*t - 5 = s + 3 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -5*(-9)\/45*(0 + -195). Is -195 greater than or equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3515011.\nAnswer: 3515011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 209 + 286 = 165*k. Let b(o) = -2*o**2 + o - 1. Give b(k).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 2*f + 852 = -104, -h = f - 193. Does 10 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(2\/93)\/x)\/x**(3\/14))**(1\/29) assuming x is positive.\nAnswer: x**(-251\/37758)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rgff when four letters picked without replacement from rfcccccccgggrcfdcff.\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 445062 to the nearest integer?\nAnswer: 667","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 595266.7822 rounded to the nearest ten thousand?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/7, 4, 0.5, -1.6, 2 in descending order.\nAnswer: 4, 2, 0.5, -3\/7, -1.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 26 + 267. What is the tens digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/5 - ((-30912)\/35)\/8. Let l = -71 + o. Let i = l - 22. What is the greatest common factor of 119 and i?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*h - 2*h + 4*h)*(-3*h - 2*h + 6*h) + 7 + 3*h**2 - 7)*(19*h**2 + 12*h**2 + 47*h**2).\nAnswer: 156*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 2*u - 9. Let p(m) = 3*m - 8. Let f be 12 + 4\/42 + (3 - (-1020)\/(-126)). Let g be (6\/(-3) - -1)*6. What is f*p(a) + g*j(a)?\nAnswer: 9*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6050)*-1 + sqrt(50) - (sqrt(50) + (2*sqrt(400))\/sqrt(8) + sqrt(50)))\/(-4*sqrt(160)*1*3).\nAnswer: 7*sqrt(5)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/4 less than or equal to 275?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -81*l**2 - 3726*l - 4. Determine h(-46).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - g - 4*a = 17, 4*g + 13 = -5*a. Suppose -g*p + 1 = -35. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y + 6. Let p be q(-6). Suppose 2*k - 5*f + 4 = -1, 2 = k - f. Put 4, 7, p, k in decreasing order.\nAnswer: 7, k, 4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -4752, -9668, -14584, -19500, -24416?\n\"Answer: -4916*v + 164","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -4321?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*b - 1 - 1 + 2 + 5*b**2 wrt b.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**3 + 4*h**2 + 20*h - 57. Let i(u) = -6*u**3 - 3*u**2 - 5*u. Let f be i(-2). Let c = 277 - f. What is the remainder when c is divided by w(5)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w - 5*z = -54, -2*w - 5*z = 13*w - 8*z for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 5*r**3 - 38070*r**2 - 11114340*r + 384180363640 = 0.\nAnswer: -2822, 5218","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 394 - 244. Let w = f - 150. Put w, 0.5, 0.4, -8 in ascending order.\nAnswer: -8, w, 0.4, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z, 1 d, and 1 s when four letters picked without replacement from ziszziizizszzzidzszs.\nAnswer: 12\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-1))**15\/(((l\/(l*l**1\/l*l))\/l)\/l*l*l*l*l**4))**(-43\/4) assuming l is positive.\nAnswer: l**(817\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -6\/17, 3 in ascending order.\nAnswer: -6\/17, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5.34 + 1.927. What is p rounded to 1 decimal place?\nAnswer: -3.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 40*i**2 - 4 + 17*i**2 - 20*i**2.\nAnswer: -43*i**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10259 + 10259.1. Let v = 0.8 + -3.8. Let s = -2.8 - v. Sort s, u, 2\/17, -2 in increasing order.\nAnswer: -2, u, 2\/17, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c + 7. Suppose -3*u = -2*u + 4. Let a be j(u). Suppose a = -3*d, -d = r - 0*r - 214. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3.6 and 1230.835.\nAnswer: 4431.006","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 102\/(-51)*6*11\/18.\nAnswer: -22\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = l - 5*l + 504, 0 = 2*y - 4. List the prime factors of (-5)\/50*-5*l.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 441 + -90. Is d a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 102002?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 149 = 3*z - 49. Let s = -60 + z. Suppose -3*c - 10 = -5*c. Solve 3*r = 4*y + s, -r + c = -3*y + 3 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/8 and 6\/(-10) + 1989\/(-910).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 185124603?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1638*f + 0*f**2 + 2*f**2 - 10 + 1654*f to the form h*f**2 + i*f + q and give q.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -66.6889 rounded to zero dps?\nAnswer: -67","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p - 1 + 11. Let v(b) = -2*b - b**2 - p*b**3 - 6 + 2 + 2. Calculate the smallest common multiple of v(-2) and 4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 - (313 - 59) - -35?\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 + 1. Suppose -5*r + 289 = k*t + 52, -4*r + 395 = 5*t. Suppose 2*n + 2*j = 7*j + 20, 5*n + 2*j = t. List the prime factors of n.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5954, 1721, 1 in decreasing order.\nAnswer: 5954, 1721, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 26*b + 33. Let o(h) = -173*h - 220. Let p(j) = 20*k(j) + 3*o(j). Let c(n) = 7*n**3 - 28*n. Let v = -1 + 2. Give v*c(i) + 28*p(i).\nAnswer: 7*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m when three letters picked without replacement from mmmmmmmmmm.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 214083 (base 9) to base 6\nAnswer: 2422550","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) 0 (b) -2\/7 (c) 0.4 (d) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 4*q - 19. Suppose -3*n - 4 = c, -q*c + 0 = 4*n - 2. Solve 2 = -c*s + 4 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*h - 5867 = 32444. Let z = 6954 + h. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-576)\/(-63))\/(-4) - -2. What is the biggest value in -10\/3, 0.9, -0.4, s?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110100010111011101100 - 0?\nAnswer: -110100010111011101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 21*h**4 - 3*h - 971 with respect to h.\nAnswer: 84*h**3 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -13.74 * -3\nAnswer: 41.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/2628 equal to -2745.12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 339072101 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -134557 in -6\/13, 4, 2?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) -5.4 (c) -4\/7 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 896 is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**3 + 7*r**2 - 4*r - 1. What are the prime factors of b(6)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 3*x**3 - 17*x**2 - 6*x - 6. Let m be ((-4)\/(-8))\/((-4)\/(-48)). Let l be s(m). List the prime factors of 3 - (-14)\/(-4) - 897\/l.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -3675*w**3 - 4835*w**2 - 20*w - 4. Let h(p) = -p**3 - p**2 - 5*p - 1. Let q(t) = c(t) - 4*h(t). Find the third derivative of q(k) wrt k.\nAnswer: -22026","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 269 = -66. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 55*q**2 - 3*q - 3. Let r be p(-1). Let a = 3 - 5. Is r + a\/(-1)*-1 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 10 - 4)*(3*u - u + 2*u) + 0*u + 4*u - 2*u + (-1 + 2 - 2)*(u - 5*u + 3*u) - 2*u - u + u.\nAnswer: -75*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 (base 14) in base 4?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 4 = -21. Suppose s - 16 = m. Suppose 4*w + 137 = 2*r + 9, 3*w + 313 = 5*r. Calculate the remainder when r is divided by s.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 45259\/20 - 2267. Calculate the common denominator of -71\/112 and k.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 13a32900 - -3?\nAnswer: 13a32903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1475, 3069, 4657, 6233, 7791, 9325, 10829, 12297?\nAnswer: 13723","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 295*p = 290*p + 23495. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 4*j = -32, -4*j - 59 + 37 = 2*t. Sort -1, -4, t, 23, -1\/11 in descending order.\nAnswer: 23, -1\/11, -1, -4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -q + 4*s - 3, 2*s + 6 = 5*q. Suppose 3*v + 0*v = -3. Put -4, q, v in ascending order.\nAnswer: -4, v, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.1 and -3375147369318.\nAnswer: -3375147369318.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 437254470 by 77445.\nAnswer: 5646","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d = 5*h - 7, 0 = 2*d + 2*h - 5 + 1 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 4 = -2. Let q(n) = -n**2 + 17*n - 16*n + 2 + w. Let h(l) = 3*l - 3. Let a be h(2). Give q(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 2327469?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10835 - 10837. Let c(g) = g**2 + 7*g + 9. Calculate c(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 - 4 - (8*-152 - -4). What is the remainder when b\/45 - 2\/(-15) is divided by 11?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 20*q**5\/9 + 1699*q**4\/9 - 12665*q**3\/9 + 28049*q**2\/9 - 5977*q\/3 + 92 = 0?\nAnswer: -92, 1\/20, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrrjrjrjjjrjrjrjjrr. Give prob of sequence rr.\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 2*p**3 + 92*p**2 + 89*p + 15. Let c be y(-45). Sort -4, -2, c.\nAnswer: -4, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -38*k**2 + k. Let p(f) = -193*f**2 + 4*f + 1. Let w(z) = 11*i(z) - 2*p(z). Let u(q) = -95*q**2 + 8*q - 6. What is 4*u(b) - 11*w(b)?\nAnswer: -28*b**2 - b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -180976*q + 5*z = -180989*q - 80, -28 = 5*q + z for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 + 20363a?\nAnswer: 203638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(300) + 3*(sqrt(300) + sqrt(300) + 1*sqrt(300)))\/(sqrt(294) + (sqrt(294) - (4*(sqrt(294) + sqrt(294)*1) - sqrt(294)))).\nAnswer: -10*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 5004*v - 4953. Give o(1).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*b - 2*a - 3, 2*b + 181*a - 177*a = -10 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 f, and 2 v when four letters picked without replacement from {v: 2, u: 4, f: 1, m: 3, b: 1}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*s**5 + 3*s**5 - 3*s**5 + (-2*s - 1 + 1)*(3*s - 4*s + 2*s)*(s**3 - s**2 + s**2).\nAnswer: -4*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from smmm?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -232 + 880. Suppose 9*g = g + a. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23030, -92116, -207258, -368456, -575710?\nAnswer: -829020","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2440195*i*t**2 + 122*i*t + 9*i - 2*t**2 - 4*t - 4 wrt t.\nAnswer: 4880390*i - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 140 + -133. Suppose v + v = -k*v. Solve 4*o + o + b = -15, 2*b - 10 = v for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -365.61 + 368. Let x = 2.390078 - r. What is x rounded to 5 dps?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1231*m**2 + 0 + 2 - 2 + 14741*m**2 in the form a*m**2 + o + r*m and give a.\nAnswer: 15972","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -2*d**2 - 10*d + 22262. Is r(0) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5910152 is divided by 564?\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -51.98 + -0.02. Let v = -49 - s. What is the nearest to v in 1\/4, 0.1, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000128902275 to 5 dps.\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (18 - -6 - 4) + -1282. Do c and -1260 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 21 + -12. What is the smallest common multiple of d and (-7)\/(-4*(-77)\/(-264))?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 506329095 is divided by 91?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 5, j: 2, h: 4, r: 2, o: 1}. Give prob of picking 1 j and 2 r.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*b**5 + 21*b**4 + 6*b**3 - 42*b**2 - 3*b + 21 = 0. Calculate b.\nAnswer: -1, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0724 * 70.\nAnswer: -5.068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 79, -1, -19 in decreasing order.\nAnswer: 79, -1, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -549*u. Let a(q) = 6*q**2 + 5*q + 55. Let n(i) = i**2 + i + 11. Let m(o) = a(o) - 5*n(o). Give c(m(g)).\nAnswer: -549*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -71*r + 183*r - 30 + 1179*r + 174*r. Let f be z(4). Round f to the nearest one thousand.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 25201*d*k + 559*k with respect to d.\nAnswer: 25201*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 28033, 18937, 3769, -17477, -44807, -78227, -117743?\nAnswer: -163361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-3)\/(a\/(a**(3\/5)\/a))*(((a*a**1)\/a)\/a)**(-9))**(2\/25) assuming a is positive.\nAnswer: a**(-44\/125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(70)*1)\/sqrt(10)*6.\nAnswer: -12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -296900 to the nearest one hundred thousand.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**2 - 37*w + 13. What is the tens digit of t(-30)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 167332127 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8.8 in -1\/6, 2, -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -41.28 (b) 2 (c) -5 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2, -4\/7, 66, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 200435738 to the nearest integer?\nAnswer: 585","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**2 + 6*r + 5. Suppose y + 2*v = 27, 6*y + v = y + 108. Suppose 5*t + y = 1. Calculate s(t).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 minus -61.6?\nAnswer: 56.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1143*s + 706*s - 350*s + 111775 = 184*s for s.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -3*q**3 - 130*q**2 + 123*q + 10. Let k(v) = -v**3 - 66*v**2 + 61*v + 6. Let c(g) = 3*j(g) - 5*k(g). Suppose c(n) = 0. Calculate n.\nAnswer: -16, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/3 <= -8552273.32?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 127 - 1c3?\nAnswer: -9c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*z**4\/3 + 55*z**3\/3 - 45*z**2 + 125*z\/3 - 40\/3.\nAnswer: -5*(z - 8)*(z - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the third derivative of w**8\/168 - w**7\/35 + w**6\/20 - w**5\/30 - 47*w**2. Factor q(k).\nAnswer: 2*k**2*(k - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 667609471 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -228 - -233. Let o = -11 - -14. Put -5, -17, n, o in descending order.\nAnswer: n, o, -5, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 565619466 divided by 678\nAnswer: 834247","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -281, -0.1, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 7 + 4*o**3 - 3*o**3 - 2*o**3 + 3*o**2 + 9*o. Calculate the smallest common multiple of 18 and y(5).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 + 2 - 3)*(2 - 1 + 1) + 6 + 6 - 2)*(-26*x - 27 - 33 + 63).\nAnswer: -364*x + 42","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**3 + 14*l**2 + 25*l + 16. Let g be j(-11). Suppose -4*x + 2*p = -x - g, -3*x + 114 = 3*p. Calculate the highest common divisor of 9 and x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 15) in base 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7616 rounded to the nearest 1000?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a tonne in kilograms?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u**5 - 8*u**4 + 276*u**3 - 1144*u**2 + 1840*u - 1056 = 0. Calculate u.\nAnswer: -11, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 11*n**2 + 27*n - 28. Let g be o(12). Round g to the nearest 1000.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2833 - 3*w - 250*w**2 + 105*w**2 + 73*w**2 + 81*w**2 + 5*w.\nAnswer: 9*w**2 + 2*w - 2833","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-54)\/4)\/(1\/(-2)) is divided by (0 - (-3 - (-114)\/30))*(-7 - 3).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 481 - 470. Suppose -20*y + o*y + 279 = 0. What is the highest common divisor of y and 279?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/14*(-28)\/21. Let d = -150048 + 1050337\/7. What is the smallest value in -13, d, -3, u?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**2 - 10*p - 9. Let n be x(11). Let u(z) = -7*z**3 - z**2 - n*z**3 + 3*z**3 + 1 + z. Give u(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*z**2 - 3197*z - 10760?\nAnswer: 4*z - 3197","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 113022 and 207.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 19911577003 - -1.6?\nAnswer: 19911577004.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*(f**(2\/5)*f)\/f*f\/((f*f\/(f*f**9)*f)\/f))\/(f**(-1\/48)*f*f**(3\/10)))**(1\/11) assuming f is positive.\nAnswer: f**(199\/240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-28)*(-27 - -11)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -143 (base 8) in base 7?\nAnswer: -201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 25 + -23. Let y(o) = -6 - 7*o + 8*o**h + 2*o + 2 - o**3. What is the least common multiple of y(7) and 22?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 925425048 to the nearest integer?\nAnswer: 30421","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes before 2:54 AM?\nAnswer: 6:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 + 571.8?\nAnswer: 571.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 152*g = -141*g + 131850. Solve 0 = g*h - 459*h + 18 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -30 - 20. What are the prime factors of y?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**3 - u + 71. Suppose 0 = 15*a - 5*a - 20. Let m be -2 + a + 4 + -3 + -1. What is the tens digit of q(m)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -27 + 20. Let m(c) = -2*c + 1. Let i be m(-2). Suppose -2*u + i*t = -u - 4, 3*u + 20 = -t. Are k and u non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + o - 1)*(0 + 1 - 5) - 2 + 2 + 5*o.\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -2\/13 (b) 5 (c) -10 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84*d - 19*d - 5*d = 12055260. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-958)\/7*266\/(-76) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 4*c**2 + 0 + 0. Let h(p) be the first derivative of 4*p**3\/3 + 2874. Calculate f(h(w)).\nAnswer: 64*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 - (3 + (3 - 5)). Let g be (-6)\/(-4) - o\/2. Suppose 5*n + 12 = g. Sort n, 2, 1 in increasing order.\nAnswer: n, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 609\/28*2 - 3\/2. What is the greatest common factor of j and 231?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the first derivative of k**2\/2 - 5*k + 5. Suppose 0*f - 2*f = -3*z - 21, f - 3*z - 15 = 0. Let a be r(f). Sort -5, a, -4.\nAnswer: -5, -4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*l**4 + 184270*l**3 + 1696112405*l**2 - 30574815480*l + 137653868880.\nAnswer: 5*(l - 9)**2*(l + 18436)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in fifty-five sixths of a week?\nAnswer: 1540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 369 and 820 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 273 a factor of 313950?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 30.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15c1 (base 14) to base 8.\nAnswer: 7465","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-15 - -3)\/2*(-2)\/4. Suppose t = 4*o - 5. Let g(b) = 3*b**2 + 2*b**2 - b**2 + 12*b**o. Let u(n) = -3*n**2. Determine u(g(h)).\nAnswer: -768*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15849.\nAnswer: 3, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:18 PM and 1:36 AM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes after 9:27 AM?\nAnswer: 12:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 483 - 3387\/7. Let f be -1*1 + 135\/1. Find the common denominator of t and (2 - f\/(-4)) + -2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14124808, -14124816, -14124830, -14124850?\nAnswer: -14124876","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -46161*i**3 - 6*i**2 + 2*i - 32. Let r be j(-8). Suppose -25*g = -38*g + r. Round g to the nearest ten thousand.\nAnswer: 1820000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 - -5. Suppose 12 = -d*m + 6*m. List the prime factors of m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (217 + 10*g - 7*g - 362)*(-g + 0*g - g) to the form s + d*g + q*g**2 and give d.\nAnswer: 290","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 2 + 502*i**3 - 491*i**3.\nAnswer: 11*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 70 and 26?\nAnswer: 910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j + 1. Let s be f(-2). Suppose -7*o = 5*k - s*o, k = -4*o. Solve -z = -k*z - 4 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a day in seconds?\nAnswer: 21600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -51\/16 and 13\/1336.\nAnswer: 2672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/7, 25.1, 0.05, 2\/9?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**2 + 4*t. Suppose 4*a = 15 + 1. Let v be j(a). Suppose 4*z - 5*o + 181 = v, 159 = -3*z - 4*o - 0*o. Round z to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1025 a factor of 616861486?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-8)\/(-28))\/((-4)\/(-14)))\/(-1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m - 2*d + 3 = 0, -2*m = -3*m - 3*d + 10 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*d + 30*d = 35. Suppose 6*z + 19 = d*z. Does 5 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 942?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -8*h + 3. Let r(f) = -24*f - 32*f - f + 61*f. What is p(r(o))?\nAnswer: -32*o + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h**2 + 724692832*h - 32823731297011264 = 0 for h.\nAnswer: 90586604","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -215 = -404*v + 429*v + 301 - 66 for v.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 16*a**2. Let k(l) be the first derivative of 1\/3*l**3 + 11 + 0*l**2 + 0*l. What is o(k(s))?\nAnswer: 16*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 3\/337 (b) 0 (c) -4\/31 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(1\/3))\/q)**(-2\/5)*(q**(-2)\/q)**(-14) assuming q is positive.\nAnswer: q**(628\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 174927960 + -5?\nAnswer: 174927955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + 7127 = 3578 + 3636 for a.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) 1633 (c) 0.1 (d) -7\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 302 + -302.7. Sort j, 0, -24 in ascending order.\nAnswer: -24, j, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5971 and 19614?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s, 1 v, and 1 a when four letters picked without replacement from {a: 1, m: 2, k: 1, z: 1, s: 2, v: 1}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the third derivative of d**4\/12 + 2*d**3\/3 + d**2. Let x = -29 + 25. What is a(x)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 2454?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -20*v**2 + 7*v + 1279 + 55*v - 1304 + 43*v.\nAnswer: -5*(v - 5)*(4*v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes after 3:29 PM?\nAnswer: 10:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 21852?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b**3 - b**3 + 2*b**3)*(-3 + 7 + b - 3*b).\nAnswer: 2*b**4 - 4*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*q - 7*q - q + 13*q + q.\nAnswer: 12*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(((n**(-5\/3)\/n)\/n)\/n))\/(n*(n\/((n\/(n**9*n))\/n)*n)\/n))**(-2\/3) assuming n is positive.\nAnswer: n**(38\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -2*w**2. Let m(y) = -9455677*y. Calculate b(m(h)).\nAnswer: -178819655056658*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 625853 to the power of 1\/2, to the nearest integer?\nAnswer: 791","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*l**3 + 5180*l**2 + 73108*l + 256564.\nAnswer: -4*(l - 1309)*(l + 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -33\/14, -0.07, 0.3, -0.28?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**3 - 5*y**2 - 6*y. Let l be ((-84)\/(-8) + 3)*-12. Let n be l\/36*4\/(-3). Give k(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1404*h - 207*h + 135*h)*(3*h + 3 - 3 + (3 + 1 - 2)*(-h - 5*h + 5*h)) to y*h + i*h**2 + z and give i.\nAnswer: 1332","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 34419, 12, 1 in ascending order.\nAnswer: 1, 12, 34419","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 5*d**3 + 6*d - 1. Let u(l) = -11*l**3 - 13*l + 2. Determine 7*q(f) + 3*u(f).\nAnswer: 2*f**3 + 3*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.043232 plus 3?\nAnswer: 2.956768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -3266*a - 13269. Give m(-4).\nAnswer: -205","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, -6\/7, 2.3666?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 19 - 27. Let k(y) = -y**2 - 10*y - 1. Calculate the remainder when k(i) is divided by 29\/3 - (-6)\/(-9).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -115\/12 and 91\/13014?\nAnswer: 26028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**3 - 1. Let f = 2 + -1. Let o(a) = -a**2 - 349 + a**2 - 2*a**3 + 348. Calculate f*q(s) - o(s).\nAnswer: 3*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 522974.\nAnswer: 2, 23, 11369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(343)\/(sqrt(14)\/sqrt(2)))\/(sqrt(7) + (sqrt(4536) - sqrt(56))\/sqrt(8)))**2.\nAnswer: 7\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4357112 (base 8) in base 2?\nAnswer: -100011101111001001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(180) + -1.\nAnswer: 4 + 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 54392 - -0.3?\nAnswer: 54392.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 + -1. Let x be (36\/32)\/(9\/(-12)). Which is bigger: i or x?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.86 - 1. Let t = -0.86 + w. Let l = -2 + 4. Sort -1\/2, t, l in increasing order.\nAnswer: t, -1\/2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the third derivative of 0*x - 5\/112*x**8 + 0*x**6 + 0*x**7 + 0 - 1\/30*x**5 - 12*x**2 + 0*x**4 + 0*x**3. Find the third derivative of y(s) wrt s.\nAnswer: -900*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-38*17\/(-2584))\/(15\/72)?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2, 2\/9, 12, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 3678, 3679, 3680?\n\"Answer: p + 3677","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5 + (-7 - (44\/(-6) - -6)). Let v = -2 + 1.7. What is the nearest to i in 0.1, v, 3\/4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.2 - 0.2. Let u = 131.8 + -132. Suppose 4*y + 6 - 2 = 0. Sort f, u, y.\nAnswer: y, u, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 101*c = 152*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2011 - -2?\nAnswer: -2002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -13 (b) -0.4 (c) 0 (d) 18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x - 5 = 2*x. Let g be 0\/(1*(x + 1)). Suppose 0 = 5*m - g*m + 5*d + 10, -7 = m + 2*d. Solve -o + 3*l = 2*l, 4*o - l - m = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1615, -5544, -12093, -21262, -33051, -47460?\nAnswer: -64489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-659)\/659*(2 + (-28)\/(-20))?\nAnswer: -17\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -639, -669, -727, -819, -951, -1129, -1359?\nAnswer: -1647","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/1834 and 33\/55282.\nAnswer: 386974","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2253?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**2 - 3*f + 18.\nAnswer: -3*(f - 2)*(f + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.5 - 0. Let x = -1 - -4. Let l = -207 + 207. Which is the second biggest value? (a) j (b) x (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 310*k + 6. Let b be w(7). Suppose 1440 = 4*x - b. Let q = -507 + x. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76569 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 327*f + 2521*f**2 - 327*f.\nAnswer: 2521*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4349 - 4345. Let m(r) be the third derivative of r**5\/60 - r**4\/8 + r**3\/2 + r**2. Calculate m(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a + 4*f = -8, -3*a - 5*f + 30 = -0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 294476604 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45*c**2 + 41435*c**3 - 29*c**2 - 16*c**2.\nAnswer: 41435*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.04? (a) -2.88 (b) 57\/2 (c) -2 (d) 1 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*n - 2279 = -3215. Solve 1 = -11*z + n for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-24)*o*o**(20\/11) assuming o is positive.\nAnswer: o**(-233\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is ((3 - 2) + 0)*(64 + -61) - -67696 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.056 * -352790.\nAnswer: 19756.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((sqrt(2) - (sqrt(2) + -3))*-4 + sqrt(288) + 0 + sqrt(288)) + 6*((sqrt(200) - sqrt(200)*-1*-3) + -4))**2.\nAnswer: 6912*sqrt(2) + 19728","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 553, 66, -421, -908?\nAnswer: -1395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**3 + 7*a**2 - 3*a - 9. Let k be i(-7). Solve k + 8 = -3*o - 4*l, 5 = 4*o - l for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66*v - 138 = -20*v. Let h be v + (-10)\/(80\/24). Let i(t) = -3*t**3 + 6*t**2 + 6. Let r(s) = s**2 + 1. Give h*r(m) + i(m).\nAnswer: -3*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(102)*3 + sqrt(102))\/sqrt(6).\nAnswer: -5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -57 + 28 + 2 + 21.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1509*l**2 - 822 wrt l.\nAnswer: -3018*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1733294 is divided by 104?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c - 2. Let t = 168 + -183. Determine w(t).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 70 and 5983840?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -l**4 + 3*l**2 - 3*l**2 + (3 - l - 3)*(5 - 3*l**3 - 5) - 20 - 10*l**4 + 20 as i*l**2 + o*l**3 + w*l + b + n*l**4 and give n.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8222?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 204 = 5*w, o - 164 = -2*o + w. Let j = 59 - o. Suppose 0 = a - j*a - 10, -5*a = -5*x + 5. Put -2, x, -14, 4 in descending order.\nAnswer: 4, -2, x, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 328*p - 657*p + 333*p.\nAnswer: 4*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.158 rounded to zero dps?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/3*-1)\/((5\/(-184))\/((-1950)\/780))?\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 r when four letters picked without replacement from rrrrrvrrp.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2 - -7)*122\/6. Let x(u) = 41*u + 782. Let s be x(-19). Suppose -r = -s*v + 537. What is the hundreds digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkf when three letters picked without replacement from {f: 3, t: 2, k: 4}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 334 - 333 - 16*t**2 - 32*t - 18*t**2 wrt t.\nAnswer: -68","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 660 and 60?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1675, 2160, 5995, 9830, 13665?\nAnswer: 17500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:23 AM and 7:18 PM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 7}. Give prob of picking 2 y.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*y - 19*y = 1194. Let x = -194 - y. Solve 0 = 3*v - 17 + x for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**2 - 12*f - 9. Let p be n(-11). Suppose 20 = 2*m - 4*g, -p*m - g = g - 38. Suppose 4*a = -16, 5*t - 2*t - m = a. Solve -t*o = -o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(4\/(-6)) + 1. Factor -3*v**4 - 10*v**u - 9*v**2 - 2 + 5*v**3 + 7*v + 12*v**4.\nAnswer: -(v - 2)*(v - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -42.01 - -41.51. What is the closest to 1 in 4\/45, -1\/6, 3, j?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 737 is divided by 75?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6634?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(432)*-1 + -4)**2.\nAnswer: 192*sqrt(3) + 496","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 - 63 = 11*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0.4, -18, 0.08, -0.00338?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1621, 3529, 5823, 8503, 11569, 15021, 18859?\nAnswer: 23083","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of c**2*q*z**2 - 4*c**2*q + 4*c**2*z**3 - 23*c*q*z**3 - 7*z**2 wrt z?\nAnswer: 24*c**2 - 138*c*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1509660 + -841513. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 1 = 4*g, -5*g - 23 = 5*p - 3. Let a be 2*g + 30\/(-9). Let o be -8 - (((-2375)\/(-76))\/(60\/(-24)) - -4). What is the nearest to o in -2, a, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2225 and 1025?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 7 = 79. Let r = -32 + y. Let t = r - 18. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 3 - 2)*(-65*j - 66*j + 35*j)*(2 - 2 + 2*j) as c*j + y + n*j**2 and give n.\nAnswer: 768","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve g - 18 = -k - 23, 4*g + 3*k = -16 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the second derivative of i**2\/2 - 2*i. Let p(g) = 5*g - 1 - 1 - 1 - 2*g. Suppose -2*s + 8 = -3*s + 3*c, 4*s + c = 7. What is s*p(r) + 5*f(r)?\nAnswer: 3*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the third derivative of -1\/120*p**6 + 0 + 0*p**3 - 1\/420*p**7 + p**2 - 1\/120*p**5 + 0*p + 0*p**4. Determine i, given that b(i) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 4611326, 9222650, 13833974, 18445298?\n\"Answer: 4611324*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/((-6)\/3) + -2 - 35. Let z = -38 - p. Let x be 0\/((0 - 1) + z). Put x, -1, 0.1 in increasing order.\nAnswer: -1, x, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1\/25 (b) -4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -20 + 24. Suppose -4*b = -128 - i. What is the remainder when b is divided by (-1)\/(-2 - 132\/(-68))?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7*t**4 - 37*t**3 - 22*t**2 - 4*t - 4382341.\nAnswer: -28*t**3 - 111*t**2 - 44*t - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 44.64041 to one dp.\nAnswer: 44.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 - -6. Suppose s = -b*l + 3*s + 11, 0 = 4*l - 5*s - 24. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-28)\/r*r*r)\/r*r)\/r*r\/r**(-31)*(r**17)**(1\/20) assuming r is positive.\nAnswer: r**(97\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.5 + 0.5. Let s = r + 0. Suppose -4*h + 0*h + 16 = 0. Which is the second biggest value? (a) s (b) h (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8835 is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 67 = -0*m + m, -3*m + 190 = -h. Calculate the greatest common divisor of 21 and m.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*c**4 + 861*c + 0*c**3 - 5*c**2 - 3*c**3 - 859*c + 8*c**2 as v + w*c**4 + a*c + d*c**3 + g*c**2 and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1212\/10*1\/6*40. Round b to the nearest 100.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1582808179 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 7*d**3 + 45*d**2 - 18*d - 48. Give w(-4).\nAnswer: 296","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 17*h**3 + 12 - 18*h**3 - 4*h**2 + 14*h**2 - 10*h. Let n be b(9). Suppose 0 = -3*l + l - 10. Sort l, 1, n in increasing order.\nAnswer: l, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7.8 - 3.8. Let u = -37 + 41.3. Let q = u + -4. Which is the smallest value? (a) v (b) 2 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(1*sqrt(539) + -3)*1 + (5 + sqrt(704) + -2 + -2)**2.\nAnswer: -12*sqrt(11) + 717","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**3 + 5*l**2 + 5*l + 2. Let w be h(-4). Let r be 2 - -6 - 0\/w. Let b = r - 0. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 829057 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1560020 (base 7) to base 13\nAnswer: -77495","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**(2\/7))**(-47)\/(((((o*o\/o**(1\/5))\/o)\/o)\/o)\/o**(-4)))**(-20))**(-2\/59) assuming o is positive.\nAnswer: o**(-4544\/413)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -22*q - 6. Let p be a(-5). Suppose -2*o + 3*t - 9 = -p, o - 43 = -3*t. Suppose 0*b + 2*b = o. Is b a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -4*x**3 + 2*x**2 + 4*x + 3. Let n be g(-1). Suppose -n*i = -1 - 14. Let r = -2.968 - 0.032. Which is the nearest to -2\/3? (a) 1\/2 (b) i (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 99111.\nAnswer: 3, 33037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -343 - 513*n**2 + 505*n**2 + 338.\nAnswer: -8*n**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 331 = -731. List the prime factors of t.\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 32*z**5 - 6*z**4 - 8*z**3 - 2*z**2 - 16*z + 121?\nAnswer: 1920*z**2 - 144*z - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1348)\/(-15) + (-14)\/(-105). Is 2 a factor of -2 + (l\/(-27))\/((-2)\/3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 0 + t + 6 - 4.\nAnswer: t - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -3314 times 3?\nAnswer: -9942","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 + 311211?\nAnswer: 311201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-410*(-660)\/72160)\/((-42)\/16)?\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-13)\/78)\/((-2)\/389604) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22000 (base 3) to base 4\nAnswer: -3120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 364459441 to the nearest integer?\nAnswer: 19091","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*n**3 - 34*n**2 - 1026*n + 5?\nAnswer: 24*n - 68","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*f**3 + 4*f - 3*f**3 + 7*f**3.\nAnswer: 15*f**3 + 4*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times 126?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u**4\/5 - 24*u**3\/5 - 33*u**2\/5 + 188*u\/5 + 60 = 0. What is u?\nAnswer: -2, 3, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 239488 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 613498172?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**3 - 23*v**2 + 3578*v - 5259. What is r(-73)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9838787?\nAnswer: 7, 43, 32687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/752 and -7\/39762.\nAnswer: 318096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 13*o**2 - 2151*o - 2154. What is k(-1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -108\/679 at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 20863 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-15)\/(-10))\/(1\/162). Suppose 8*p - 661 = w. Let m = -42 + p. What are the prime factors of m?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -18 - 40 + 117*s**2 + 2*s - 119*s**2 + (s - 2*s - s)*(7*s - s - 4*s).\nAnswer: -6*s**2 + 2*s - 58","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 339 + -291. Calculate the highest common divisor of 2472 and j.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -22 + 26?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 783, 779, 773, 765, 755, 743, 729?\n\"Answer: -m**2 - m + 785","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/17, -0.1, -1\/4.\nAnswer: -1\/4, -0.1, 2\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 94249 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 501*s + s**3 - 223*s + 2*s**2 - 244*s - 2 in the form r + d*s**2 + t*s**3 + q*s and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i + 7. Let o be q(6). Suppose 4*s = 4*y + 96, -24*y + 28*y = -s + 9. Is s bigger than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**3 + 3*s**2 - 3. Let n be w(3). Let d(b) be the third derivative of -b**4\/8 - 3*b**3\/2 + 25*b**2 - 1. Let h(f) = 2*f + 5. Give n*d(t) - 5*h(t).\nAnswer: -t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 - 2 + 2)*(-2 + 0 + 7)*(422*b - 422*b + 84*b**4) to the form z*b**4 + q*b + l*b**3 + y*b**2 + o and give z.\nAnswer: 2520","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -34 + 9, 0 = 2*w + 4*p - 24. Let d = w - 2. Suppose 3 = -d*x + 3*x. Solve -4 = -k - x for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.346524mm to kilometers.\nAnswer: 0.000007346524","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 - -6. Suppose 2*i - v*a + 4 - 3 = 0, a + 5 = 3*i. Let k be (2\/4)\/(4\/16). Solve -i*b = k*b + 8 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r*r**(-5\/7)))\/r**1)**(-43)*r**(2\/17)*r**(-2\/5)*(r**0)**(6\/29) assuming r is positive.\nAnswer: r**(7142\/595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*f**3 + 3*f**3 - 15*f**3 + 2*f**2 as r*f + i*f**3 + g + d*f**2 and give i.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y**6*y))\/((y*y*y*(y*y**(-1\/8))\/y*y*y)\/y)*y*y**(6\/5)*y*y\/(y*y\/(y**(2\/25)*y)) assuming y is positive.\nAnswer: y**(-1319\/200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 34\/(-51) + (-14)\/(-3). Suppose -x*j + 23 = b, 6*j - 5*b = j + 10. Suppose -u = 2*y - 3*y + 4, -5*y - 3*u = 12. Solve y = 3*g - 2*g - j for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3 + -3 + 16 + -1. Suppose 3*j + 2*j = n. Let x = 5 - j. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -3*s**2 - 9*s**2 - 3*s + 13*s**2 - 7. Let r = -11 - -16. Let o be l(r). Is 3 <= o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 230 divided by -2098\nAnswer: -115\/1049","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = -5*m. Let z = 18 + -16. Suppose -z + 17 = 2*c - 3*i, m = 3*c - 5*i - 22. What are the prime factors of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**2 - 11*z - 11. Let n be a(12). Let d(b) be the second derivative of -1\/6*b**3 + 0*b**2 + 0 + 7*b. Give d(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i + 2*r = -2*r - 6, -16*i - 20*r - 76 = -21*r for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1887)\/38998)\/(6\/8)?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gdy when three letters picked without replacement from {y: 2, d: 1, x: 8, g: 4, h: 4}?\nAnswer: 4\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 12*c**2. Let v(l) = 7 - 8 + 132*l**2 - 105*l**2 + 2. What is v(z(f))?\nAnswer: 3888*f**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 5 = -2*b - b, 4*b - 2*c - 16 = 0. Suppose 5*a = -4*p + 330 + 1310, b*a = -3*p + 987. Let r = -157 + a. List the prime factors of r.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 29 - 22. Is l at most 10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -917*j**3 - 2*j**2 + 74 wrt j.\nAnswer: -5502","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21076?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 6, v: 3, y: 1, c: 3}. Give prob of sequence yc.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 + -4. Suppose f*k = -25 + 237. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 1827?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -60*z**3 - 209*z - 23002. Let g(d) = -10*d**3 - 35*d - 3834. Let w(a) = -6*f(a) + 35*g(a). What is the derivative of w(n) wrt n?\nAnswer: 30*n**2 + 29","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*m - 3 = -27. Suppose -m*d + 188 + 297 = -3*j, -4*d + 981 = 5*j. What is the remainder when (d\/(-12))\/(3\/(-18)) is divided by 31?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the second derivative of -f**5\/4 - 5*f**4\/4 - 5*f**3\/2 - 5*f**2\/2 + 3*f. Factor y(d).\nAnswer: -5*(d + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(sqrt(133) - (sqrt(133) + sqrt(133)*-3) - sqrt(133) - sqrt(133)))\/((sqrt(63) + sqrt(63)*3)\/sqrt(9)))**2.\nAnswer: 171\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 144 and 158336.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*o + 2*o - o)*(2 - 2 + 2*o**3) + 3756*o**3 - 70*o**4 - 3756*o**3 - 2*o**4 + o**4 + 2*o**4.\nAnswer: -75*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -26*n. Let y(k) = 42*k + 2. Determine j(y(m)).\nAnswer: -1092*m - 52","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*(f*f*f*f\/f**1)\/f)\/f)**12\/(f**2\/((f*f**6)\/f)))\/((f**(-2\/5))**1\/((f*f\/f**(3\/2))\/f**(-3))) assuming f is positive.\nAnswer: f**(319\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 4915831 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 46, 20, -54, -200, -442, -804, -1310, -1984?\nAnswer: -2850","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -389, -382, -373, -362?\n\"Answer: z**2 + 4*z - 394","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -114 - -98. What is the units digit of h\/(3*760\/(-564) - -4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -j**2\/5 + 1519*j\/5 - 1518\/5 = 0.\nAnswer: 1, 1518","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/55 and -22\/3990075?\nAnswer: 43890825","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -35791059, -71582078, -107373097, -143164116?\n\"Answer: -35791019*u - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 1323759?\nAnswer: 1323759","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the second derivative of y + 0*y**3 - 3\/28*y**7 + 0*y**2 + 0*y**4 + 0 - 1\/30*y**6 + 0*y**5. What is t in b(t) = 0?\nAnswer: -2\/9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-30 - -30 - 0) + -1 + 13 + 6?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) -4 (c) 0.1 (d) -2\/7 (e) 30\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8695147 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7030.\nAnswer: 2, 5, 19, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 5*k - 5. Suppose 0 = -13*a + 72 - 20. Determine u(a).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**2 + 2*y - 2. Let k(o) = -2*o**2 + 16*o + 1. Determine k(s) + t(s).\nAnswer: -s**2 + 18*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-12)\/(-24) - (-5)\/2. Suppose -3*s - 2*b - 7 = -32, -5*b + 10 = -z*s. Suppose -325 = -5*h - 3*q - 89, 3*h - s*q = 162. Does 14 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*j**2 - 7*j**3 + 3*j**2)*(9 - 5 + 0 + (-6 + 9 + 10)*(-2 - 1 + 4)) as q*j**3 + k*j**2 + w*j + s and give q.\nAnswer: -119","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*q - 6*q + 0*q)*(-440*q - 359*q - 410*q) + 2 - q**2 - 2 + (-4*q + q + 2*q)*(-2*q + 5*q - 2*q) + 3*q**2 + q - q as a + r*q**2 + b*q and give r.\nAnswer: 3628","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5172735g to tonnes.\nAnswer: 0.0000005172735","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2672*l - 3478*l + 2390*l)*(0*l**3 - 2*l**3 + 3*l**3).\nAnswer: 1584*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 101\/109?\nAnswer: 101\/109","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -4*x - 411. Let n(v) = v. Give n(d(f)).\nAnswer: -4*f - 411","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -121.9186 from -27.\nAnswer: 94.9186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -487.1 times 4\nAnswer: -1948.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1043 - 4?\nAnswer: 1034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**2 + 6*p - 1. Give u(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**2\/3 + 496208*b\/3 - 496207\/3.\nAnswer: -(b - 496207)*(b - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 + -c5d3bb?\nAnswer: -c5d3c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 712?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**3 + 4*f**2 - f + 9. Let q(n) = -n**3 - 2*n**2 + 4*n + 7. Let i be q(-3). What is the units digit of j(i)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 5*w**4 + 367022*w**2 + 30*w**3 - 367022*w**2 to the form k*w + u + q*w**2 + j*w**3 + n*w**4 and give n.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 12*n. Let p(v) = 1532*v. What is w(p(i))?\nAnswer: 18384*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 228 is divided by 107?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(13) - (4 + (sqrt(13) - sqrt(39)\/sqrt(3))))*-2.\nAnswer: -16 + 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2435?\nAnswer: 5, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 45891\/8 - 5736. Let y = -14\/9 + 124\/45. Let t = 2 + -6. Which is the second biggest value? (a) t (b) y (c) 2 (d) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6734353?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1614 - -1879. Calculate the remainder when j is divided by 34.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 8 = 3*s, -4*q + 2*q + 10 = -s. Let t(r) = 6*r + 40. Let f be t(s). Let o be 2\/(-1 - (-5)\/4). Solve -16 = -o*d + f*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p**3\/9 - 17072*p**2\/9 + 239852*p\/9 + 85640\/3 = 0. What is p?\nAnswer: -4282, -1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:30 AM and 7:40 PM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 17, -2, -3, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 129 (base 16) in base 14?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -42*r**2 - 26*r + 25. Determine x(1).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 5*i - 23. Suppose -3*g + 4*g = 1, 0 = 2*q - 5*g - 5. Let w be m(q). Suppose -w*d + 640 = 252. What are the prime factors of d?\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 152 and 240.\nAnswer: 4560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/5 (b) -3 (c) 618 (d) -0.3 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 9*l - 68. Determine n(7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**3 + 55*u**2 + 234*u + 6962. Give b(-53).\nAnswer: 178","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(315)\/(1*sqrt(9) + sqrt(9))*5)\/(sqrt(500) + (sqrt(500) - (sqrt(500) - sqrt(500)*2)*-2) + (sqrt(500) - 4*sqrt(500)*2) + sqrt(500)))**2.\nAnswer: 7\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3\/2008 + 17579\/6024. Find the common denominator of 7\/122 and g.\nAnswer: 732","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 74183?\nAnswer: 31, 2393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and 4235773.\nAnswer: -2117886.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 71150165 to the nearest integer?\nAnswer: 414","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 144.4 + -147.4. Which is the nearest to 0? (a) o (b) 8 (c) -5 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 470.\nAnswer: 2, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 - 2017?\nAnswer: -2016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -2*f**2 - 102*f + 4. Let x be r(-51). Solve -3*t - 21 = x*c, 6*t - 4*t + 3*c = -15 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19974 divided by 1926\nAnswer: -3329\/321","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/10*(-400)\/1320.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4032762*d**3*w**5 + 5*d**3*w**2 - 2*d**3 + 11*d**2*w**2 - 2913*d*w**2 wrt w?\nAnswer: -241965720*d**3*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 148 - 149. Which is the fourth biggest value? (a) t (b) 5 (c) 1 (d) -0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -4 + 4 - r. Let z(f) = 2. Let a = 61 + -63. Determine a*x(m) + z(m).\nAnswer: 2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 + -3. Let j be 1\/(2*1\/l). What is the units digit of 2 - (j + -1 + 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(-6))**(-6)*(s**(-3)*s)\/(s**13\/s) assuming s is positive.\nAnswer: s**16","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2204 = 258*d - 200*d. Solve -d*i = -j - 34*i, 3*j - 5*i = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z = -4*d + 12, 9*z - 6*z + 6 = 2*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24198 is divided by 4734.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 189 - 152. Let y be 26\/5*(-15 + 10). Let n = y + h. What is the remainder when 32 is divided by n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -579362 and -0.04?\nAnswer: 579361.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 12062750 rounded to the nearest one hundred thousand?\nAnswer: 12100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65526142?\nAnswer: 2, 11, 1487, 2003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 2016 divide 647488800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -6 - (1 - (0 + 4)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 4600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-4)*c*c*c*c\/(c\/c**(-5))*c)**24*(((c*c*c\/(c*c*c**0)*c)\/c)**(-24))**(24\/5) assuming c is positive.\nAnswer: c**(-1176\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1520 divided by -8?\nAnswer: -190","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 83567253?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 122, 38, -46, -130, -214, -298?\n\"Answer: -84*v + 206","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3765 - -2576. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -7*l**2 + 149*l + 2528. What is d(-14)?\nAnswer: -930","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 3, l: 7, b: 2, f: 5}. Give prob of sequence gfgb.\nAnswer: 1\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -16 - 19. Let a = 30 + l. Suppose -n = 2*q + n - 16, -10 = -2*n. Sort 4, q, a.\nAnswer: a, q, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*p + 6*p = 3*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, z: 4, o: 2, b: 1}. What is prob of picking 1 o and 1 b?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 520 - 513. Let 18*o + 30*o**2 + 20*o**3 + 3 + 5*o**4 + j*o - 5*o + 2 + 0 = 0. Calculate o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((1*sqrt(121)*4)\/(-4*sqrt(275)) + -1)*1.\nAnswer: -2 - 2*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(80) + -1 - sqrt(80)) + 5 + 4 + 1 + sqrt(80))**2 + 4)*2.\nAnswer: 144*sqrt(5) + 330","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*z - 116 + 116.\nAnswer: 7*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7717.0004597 - 7717. What is i rounded to four dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**2 - 2*o + 5168. Let j(s) = -707*s. Determine x(j(q)).\nAnswer: 499849*q**2 + 1414*q + 5168","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*o - 7*o + 2*o)*(o - 3*o + 5*o)*(-13*o - 11*o - 4*o) to f*o**3 + c*o**2 + b + u*o and give f.\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 306?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o + 1. Let r(h) = -467*h + 1397*h - 470*h - 462*h - 1. Suppose -3*q + 4*j = -3 + 8, -5*j + 11 = q. Give q*r(c) + 3*d(c).\nAnswer: c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v - 3. Calculate m(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is five sixths of a year in months?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.38 - 0.22. Let n = 0.1 + j. Let x be 6\/15*2\/2. Which is the nearest to x? (a) 5 (b) n (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*u**3 + 39*u**3 + 21*u**3 - 100*u**3.\nAnswer: -22*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -780 + 785. Sort t, -2, -0.05.\nAnswer: -2, -0.05, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x - 16. Suppose 3*r = 2*v + 310, 2*r + 5*v = 2*v + 185. Suppose -2*o + 7*o = r. Is 3 a factor of g(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 2*h**2 - h + 1. Let x be i(1). Let a be (x + 0 - 0) + -3. Let o be (-1500003 - -2)*a - 1. Round o to the nearest one million.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -25411 - 19*o + 159*o + 25412 as b*o + h and give b.\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/191 or 154?\nAnswer: -1\/191","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -w + 29*w**3 - 37*w**3 - 2*w wrt w?\nAnswer: -48*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1728)*1)\/(2*sqrt(36)\/sqrt(4)) + (2*(sqrt(147) + -1*sqrt(147) + -1))**2.\nAnswer: 4 + 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r. Let s be i(-3). Suppose -2*x - 5*j + 21 = -0*x, 0 = -3*x + j + 6. Is s equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -4) + -1 + -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8\/3? (a) 1565\/18 (b) 1\/2 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 746134344 a multiple of 3158?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - v - 5 = 0, -13 - 12 = 4*q + 5*v. Suppose q = 3*i + 5*b, 3*i - 5 = -2*b + 4. What is the units digit of 3\/5 + 22\/i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the third derivative of g**4\/6 + g**2. Let t be u(1). Let h = -1 + t. What are the prime factors of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/7 or -0.27769?\nAnswer: -0.27769","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -26*c**3 - 138*c**2 + 113*c + 643. Give t(-5).\nAnswer: -122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -21*t**2 + 3*t - 1. Let m be r(3). Let j be (-3 - -4) + m - 1. Let f be 3 + (1\/1)\/1 - j. Calculate the highest common divisor of f and 74.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t*t**(-2\/25))*t**(-3\/5))**(-1\/5) assuming t is positive.\nAnswer: t**(13\/125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*d*i*z**2 + 2*d*x*z**2 - d*x*z - 57*i*x*z + i*z**2 + 3*i*z - 1541*x*z**2 + x*z + z + 6 wrt z?\nAnswer: -8*d*i + 4*d*x + 2*i - 3082*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 469491751 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -8386, -16716, -25046, -33376, -41706?\n\"Answer: -8330*q - 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -154*g**4*n**3 - 30*g**4*n + g**2*n**3 - 28*g**2*n**2 + 15*g**2*n - g*n**3 wrt g?\nAnswer: -3696*g*n**3 - 720*g*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*5*(sqrt(396)*5 + sqrt(396))*3.\nAnswer: -2160*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.5 + 7.54. Let h = x + -0.04. Which is the biggest value? (a) 1 (b) -5 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 - (0 + (-1)\/2). Suppose -3*k = -g - 5, -5*g + 31 + 4 = 5*k. Let q be g\/22 - 38\/(-154). Which is the nearest to -3? (a) -5 (b) q (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(1331))**2*-3*4 + (-6*(sqrt(1331) - -2*sqrt(1331))*2)**2.\nAnswer: -1056*sqrt(11) + 1708812","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + 30*g - 4*b = 4*g + 6*g - 21*g + 340, -2*g + 2*b + 10 = 0 for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 239200 and 288.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**2 - 3*y + 1. Let b be z(-2). Suppose -9 = k + a, -3*k - a + 1 = 18. Let d be ((-3)\/(6\/8))\/(-1). Sort b, d, k.\nAnswer: k, b, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12 (base 4) to base 7.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**3 + t**2 - 9*t - 7. Determine q(0).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 95150 and 1210.\nAnswer: 1046650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fxntnytc. Give prob of picking 2 t and 1 f.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3 - 3)*(d**2 - 2*d**2 - 4*d**2).\nAnswer: 40*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11571?\nAnswer: 3, 7, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -49962 minus -1.653657491?\nAnswer: -49960.346342509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14 - -17) + (49 - 118)?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 5 + -3*16\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 178762 is divided by 2133?\nAnswer: 1723","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 times -31521?\nAnswer: -346731","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1574 or 1588?\nAnswer: 1588","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 30182 (base 11) to base 12\nAnswer: 2165a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2592) + sqrt(2592)*3)\/(sqrt(42)\/sqrt(252)).\nAnswer: 288*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 4*y + 4*v - 106000 = 0, -2*v + 212000 = -2*y. Round y to the nearest ten thousand.\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(176))*4 + (sqrt(176) + -1)*4 + 3 + 1 + -5)*2.\nAnswer: -2 + 64*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -58882 divided by -118\nAnswer: 499","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 2*r**2 + 24*r + 60. Let i be y(-3). Let m(l) = 16*l**2 - 17*l + 8. Let n(b) = -2*b**2 + 2*b - 1. Determine i*m(p) + 51*n(p).\nAnswer: -6*p**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23935 is divided by 1709.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6346 - -1981. Does 27 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 153357780*f**2 - 22053107.\nAnswer: 306715560*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g. Let d(w) = 4*w. Let t(b) = d(b) + 2*x(b). Let f(p) = 3*p. Give t(f(q)).\nAnswer: 6*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 79 - 83. Put 2, -1, k in increasing order.\nAnswer: k, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8992 + 13522. What is the thousands digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:22 AM and 5:05 AM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -90*q**3 - 3*q - 7. Is i(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 8*y - 19 = -3*r, 2*y + 5 = 3*r. Solve -j - 2*j + 3 = -3*m, 0 = 2*m + 2*j - y for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 - 0)*(2 - 1). Let m be a + (-1 - -1) + 0. List the prime factors of 2 - ((-3)\/m - 12).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -5*d + 1294, -4*d = -17*u + 16*u - 1045. Does 22 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17325474721 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.1 or -9541?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*(g*g**(1\/6)*g*g)\/g)**(-6)*(g**(2\/23)\/g*g)\/(g**(-1\/4)\/g))**(-11\/6) assuming g is positive.\nAnswer: g**(17875\/552)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 9501 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**3 - s - 4. Let t = 16 - 14. Suppose t*n = n. Let c be n*((-3)\/(-2) - 1). Give d(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 - (-219)\/27) + -9\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2923 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k + 2*r + 67, r - 23 = -5*k + 41. Let b = 8 - 4. Suppose -b*v = -2*v - 72. Calculate the remainder when v is divided by k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -431 + 435. Factor -1631*w**3 - 97 + 1 + 1635*w**3 + m*w**2 - 56*w.\nAnswer: 4*(w - 4)*(w + 2)*(w + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-158 + 8*q + 158)*(0*q**2 + 7*q**2 - 4*q**2).\nAnswer: 24*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -11*m**4*w - 22477*m**4 + 3946024*w wrt m?\nAnswer: -44*m**3*w - 89908*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w**5 - w**5 - w**5)*(-2 - 2 + 3) - 21*w**5 - 31*w**5 - 19*w**5 - 66*w**5 + 219*w - 219*w.\nAnswer: -138*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*n - 5*n + 4*n)*(337*n**3 + 660*n**3 - 195*n**3) in the form j*n**4 + y*n**3 + v*n**2 + z*n + d and give j.\nAnswer: 1604","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 8\/(-10)*(-25)\/(-2). Let t be (-12)\/(-30)*z\/(-26). Suppose 3*u = 3*n + 15, -3*n - 3 = -4*n - u. Which is greater: n or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:42 PM and 6:06 AM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25369 divided by 22.\nAnswer: 25369\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13967 is divided by 6523.\nAnswer: 921","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 3*x**2 - 30*x - 27. Give k(10).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4554 a multiple of 69?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the first derivative of 1891*g**7 - 13511*g**3\/3 + 10416. What is the third derivative of x(p) wrt p?\nAnswer: 1588440*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17 divided by -1413\nAnswer: -17\/1413","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put together 189950946906 and 0.2.\nAnswer: 189950946906.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -290977, -581962, -872947, -1163932, -1454917, -1745902?\nAnswer: -2036887","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -9\/854 and 43\/3416?\nAnswer: 3416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (10 + -12)*(-383)\/2. Suppose j = 4*p - o, -3*o = -3*p - 0*p + 276. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.0134 - -3.0134. Let o = 124\/195 + 2\/65. Which is the second smallest value? (a) g (b) o (c) 4 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -105 + 148. List the prime factors of q.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*w = 113*w + 482 - 1553 for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2194981 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**3 - 14*p**2 + 41*p + 10. Let w be q(-17). Let r = w + -88. Calculate the greatest common factor of r and 230.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 4*v**2. Let q(j) = 16*j**2 - 12*j + 6. Let t(n) = 15*n**2 - 10*n + 5. Let c(l) = -5*q(l) + 6*t(l). Give c(r(x)).\nAnswer: 160*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000008183 to 7 dps.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**3 - 3*y + 1. Let g be b(2). Suppose 2*p + g*p = 0. Let c(m) = m**2 + p*m - m + 0*m - 2. Give c(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-40)\/(-7140))\/(21\/(-147)).\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -67398835, -67398837, -67398839, -67398841, -67398843?\nAnswer: -67398845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/6 of a millennium in months?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 16\/9*g - 7*g**5 - 457\/9*g**3 + 197\/9*g**2 - 4\/3 + 319\/9*g**4 = 0?\nAnswer: -2\/9, 2\/7, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/10 + 26\/(1430\/1243). Let a = -429 + 705. Calculate the highest common factor of v and a.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/8 - 135\/(-108). Suppose -z + j + 8 = 0. Solve z = -f + 4*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3781 to the power of 1\/2, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bxgqbqiqiaibgbg. What is prob of picking 1 q, 1 i, and 1 a?\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + 30\/(-9) + -4.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*u**2 + 10975*u + 228270 = 0. What is u?\nAnswer: -2174, -21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -15, -43, -109, -231, -427, -715, -1113, -1639?\n\"Answer: -3*k**3 - k**2 - 4*k - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 26406?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1659, -1656, -1653?\n\"Answer: 3*l - 1662","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -9*t**2*z**3 - 20*t**2*z - t**2 + 105*t wrt z.\nAnswer: -27*t**2*z**2 - 20*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 12, x: 3}. What is prob of picking 2 m and 1 x?\nAnswer: 198\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 8a8d65 - 7?\nAnswer: 8a8d5c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 0.2, 369, -5, 0.36, -19, 0?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least 3\/1075?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2 - 4736053*q**2 + 4736083*q**2.\nAnswer: 30*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 5703 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 3 w when four letters picked without replacement from {w: 3, g: 7}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -39, -50, -61, -72, -83, -94?\n\"Answer: -11*g - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4222\/880*-2 + 3. Let o = p + 83\/11. Calculate the common denominator of 63\/8 and o.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 28 - 3*w**3 - 2*w**3 - 38 to s + l*w**2 + a*w**3 + y*w and give a.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -o**5 + 9*o**4 - 26*o**3 + 20*o**2 + 24*o - 32 = 0.\nAnswer: -1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -15*h - 39*h - 2*h - 35*h as p + g*h and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2214*h*m**3 - 122786*h - 55128397*m**3 wrt h.\nAnswer: 2214*m**3 - 122786","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -128 + 182 + 0 + -24. Solve 128*h = 118*h - g for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46583 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1\/9 + 0. Let b = 0.4 + -0.5. What is the smallest value in q, b, 2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -3*w - 5*f - 16, 8 = 2*w - f. Let r be (w - -1858)\/((-4)\/(-8)). Round r to the nearest 100.\nAnswer: 3700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16 + -13. Suppose c*s - 4*s = -4. What is the remainder when 19 is divided by s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-27 + 52)\/25 + 1 + -22?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 - 1 - (0 - -4 - -11). Let y be 517 - (-7)\/((-63)\/w). Is y equal to 520?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/14 + (-5)\/7. Let i be (-1)\/(t*(2 - 3)). Sort i, -2, 3.\nAnswer: -2, i, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/2*144\/36. Let m be (6\/20)\/((-9)\/p). Is 10 at least as big as m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-278)\/417)\/((-14)\/12)\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(2\/25)*b)\/(b*b**(-1\/5)))**(-50) assuming b is positive.\nAnswer: b**(-14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 12 = -6*q, 0 = -p + 5*q + 59. What is the highest common divisor of p and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.06 + -1.94. Let b = -1412 - -7062\/5. What is the fourth smallest value in t, 1, b, 0.6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (1062\/(-24))\/(30\/(-1960))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 + (-1)\/(-1)*2. Is j\/2*(-179)\/(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = 2*x + 2*n, -3*x + 2*x + n = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 27321?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -85\/21 and 19\/62993.\nAnswer: 188979","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xvwvxuqud. Give prob of sequence vu.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1052645233 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 29236 + -28096. Calculate the lowest common multiple of 30 and a.\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3081 is divided by 69?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -468.63113*0.1\nAnswer: -46.863113","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 617838 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1066 + 867. What are the prime factors of m?\nAnswer: 1933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(300) - (2*sqrt(300)*2 - sqrt(300)))*-4 + -1)**2.\nAnswer: 800*sqrt(3) + 480001","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -62*i**2 - 2355*i + 33. Calculate w(-38).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 1000 = 2*o, 7*y + o = 4*y + 985. What is the smallest common multiple of y and 85?\nAnswer: 5610","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 511599 at least 511599?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 132.503 - 5.46?\nAnswer: 127.043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 - -1) + 1 + 0. Let b = 56\/115 + -2\/23. Let f = 33 - 29. What is the second biggest value in b, f, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12 by 292.\nAnswer: -3\/73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 23 - 23.2. Which is the nearest to -2\/5? (a) x (b) 4 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h*h*((((h**(-6\/7)\/h)\/h)\/h)\/h)\/h)**(1\/6)*h**(-2\/7)\/(h\/(h\/h**(3\/13))))**(-5\/4) assuming h is positive.\nAnswer: h**(1355\/1092)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the third derivative of o**6\/1200 + o**5\/600 - o**4\/15 + o**3\/3 - 53*o**2 - 2. Determine h, given that s(h) = 0.\nAnswer: -5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 800.17 decades in millennia?\nAnswer: 8.0017","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 254, 508, 762, 1016, 1270, 1524?\nAnswer: 1778","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (-9 - 0) - -6\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 78642512 to the nearest integer?\nAnswer: 428","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -37 - 18. Let g = z + 103. Is g a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12441 and 770666?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -908236*y + 592 + 417*y**4 + 908236*y wrt y.\nAnswer: 1668*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 4*j**4 + 4*j**3 - 12*j**2 - 20*j - 8 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, e: 2, s: 1, g: 1, a: 1}. What is prob of picking 1 i, 1 e, and 1 a?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(-15)*0 - (2 + 0).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzddzd. What is prob of sequence zz?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 64 (base 7) in base 5?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62994240.\nAnswer: 2, 3, 5, 23, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*c - 17*c - 33. Let u(p) = -p + 3. Let h(i) = 199*i + 6 - 1 - 200*i. Determine c*h(o) + 5*u(o).\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*w - 2*w**3 + 2*w + (0*w**2 - 5*w**2 + 2*w**2)*(-2*w + w - w)*(0 - 2 + 5) + w**3 - w**3 + w**3 in the form r*w + l*w**2 + d*w**3 + g and give d.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 973056 is divided by 52?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30\/180 - (0 + 8\/(-6)).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*h + 7*h + 11*h.\nAnswer: 16*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.07 - 3.93. Let h be (-4)\/(-39)*(-27)\/18. Which is the closest to k? (a) 2 (b) h (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*a**2\/9 + 5492*a\/9 + 11032\/3.\nAnswer: -4*(a - 1379)*(a + 6)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t = -196*t - 2985 for t.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 118 (base 13) in base 8?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 19 - -6. Suppose -y - 3*s = -7, -2*y - 4*s - 5 = -29. Let d be (y\/(-8))\/((-3)\/300). What is the highest common factor of g and d?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*v**3 + 3*v**3 - 4*v**4 + (2*v**4 - v**4 + v**4)*(-4 + 0 + 3) + (-3*v**3 + 2*v**3 - v**3)*(3*v - 9*v - v).\nAnswer: 8*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -518302.1 and -0.4.\nAnswer: 207320.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 5, d: 11, f: 2, o: 2}. Give prob of sequence dft.\nAnswer: 11\/684","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 24134060 and 10?\nAnswer: 24134060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -19 - -99. Let r = 6 + 10. Calculate the greatest common divisor of y and r.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2520\/4340)\/(192\/744).\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:18 AM and 5:01 PM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000445414 rounded to six dps?\nAnswer: -0.000045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -2*w + 6*w - 22 + 22. Let d(v) = -4*v**2. Calculate d(q(s)).\nAnswer: -64*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 4701.183679 to the nearest ten.\nAnswer: 4700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes after 2:07 AM?\nAnswer: 3:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 2*k**2 - 6*k - 9. Suppose 3*w = 62 + 19. Suppose -2*y = 3*c - 4*y - w, -3*c + 18 = y. What is the tens digit of m(c)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(3 + ((sqrt(30)\/(sqrt(48)\/sqrt(8) + sqrt(6)) - ((0 + sqrt(5))*-5 - sqrt(5))) + -3)**2 + 1).\nAnswer: -2691\/2 + 234*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*n**3 - 6*n**3 + n**3)*((n + 2*n - 4*n)*(3 + 1 - 2) - 8*n - n + n) to t + m*n**2 + a*n + h*n**4 + y*n**3 and give h.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 9, q: 4, j: 6}. Give prob of sequence fjf.\nAnswer: 24\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -26 in 5.4, 14\/3, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25\/12 + (-231)\/(-28) + -10 + 2.\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*p**2 + 0 + 0 + (-p + 1 - 1)*(p + 0*p - 2*p) + 7*p**2 - 7*p**2 + 4*p**2)*(0*p - p + 3*p) in the form n + y*p + u*p**2 + w*p**3 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 - 12. Let p(r) be the first derivative of r**2\/2 + 6*r + 11. What is the units digit of p(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -69*y - 1723. Let c be t(-25). Factor -16\/9*m**c + 34\/9*m + 2\/9*m**3 - 20\/9.\nAnswer: 2*(m - 5)*(m - 2)*(m - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 0*p + 8 = 4*p, 10 = 5*p. Let r(w) = a + 0 - 2*w. Let z(k) = 14*k**2. Let h(j) = j**2. Let s(x) = -7*h(x) + z(x). Determine r(s(v)).\nAnswer: -14*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1123069779?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) -0.06 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r**2 - 56*r**3 + 3*r**2)*(19*r + 20*r**2 - 19*r + (4*r + 3*r - 5*r)*(r - 2*r - 1 + 0)) + r**5 - 2*r**5 + 3*r**5.\nAnswer: -1006*r**5 + 112*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes before 4:09 PM?\nAnswer: 11:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-259)\/28 + 10)\/(((-3630)\/400)\/33).\nAnswer: -30\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3941 + -2978. Calculate the greatest common divisor of 9 and y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**4\/3 + 3*j**3 - 29*j**2\/3 + 13*j - 6.\nAnswer: -(j - 3)**2*(j - 2)*(j - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -6078692, -6078696, -6078702, -6078710, -6078720, -6078732, -6078746?\n\"Answer: -n**2 - n - 6078690","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/5)\/(3\/(-10))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 5*b - 6*b. Let w be 6\/b*(-2 + -2). Suppose -5*s - 40 = -w*s. What is the greatest common divisor of 280 and s?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(1\/23)\/(q**(6\/13)*q*q) assuming q is positive.\nAnswer: q**(-723\/299)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 583395991 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 9 - 26 = 2*c, -2*c - 4*l = 12. Let t be c\/12 - 19\/(-3). Solve 19 = t*h + 3*y, h - 2*y - 2 + 6 = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 394928328?\nAnswer: 2, 3, 3697, 4451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 57, 0.08, 1, -2\/13, -2?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**3 - 3*r**2 + 4*r + 9. Let y be a(-4). Suppose -52 = -y*o + 2. Suppose 0 = -o*d - 1 - 5. Let p(m) = 4*m**2 + 2*m + 1. Calculate p(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 878*w + 182137 - 59624 = 2091*w for w.\nAnswer: 101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3450 a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-42*r**2 - 15*r**3 + 265*r + 41*r**2 + 14*r**3)*(-2 + 1 + 12)*(0 + 4 - 2) to v + n*r + y*r**3 + i*r**2 and give n.\nAnswer: 5830","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**2 + 6*w + 10. Let g be a(8). Let i = 8 + g. What is the third derivative of y**2 - i*y**4 - 2*y**2 + 0*y**4 wrt y?\nAnswer: -48*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -32187 + 32187.16897. Round u to 2 dps.\nAnswer: 0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -12893*l**2 - 12888*l**2 + 25770*l**2. Let r(k) be the third derivative of -5*k**4\/12 - 38*k**2. Determine r(u(v)).\nAnswer: 110*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*w - 119 + 143 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/156651334 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 4, g: 4, j: 3, t: 1, o: 4}. What is prob of sequence ftj?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 846 - -4650. What is the tens digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1726 - 1774 = -5*r. Calculate the remainder when r is divided by 78.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 78 = -10. Calculate the lowest common multiple of 14 and v.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.0973961 rounded to one dp?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 848904 is divided by 70?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20833*g + 3567*g + 1642*g.\nAnswer: -15624*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 530 + -22?\nAnswer: 509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 - -3.95. Let p = -4.95 + c. What is the smallest value in p, -0.2, 5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 5*d - 56 = 72, 3*x - 3*d - 234 = 0. Calculate the remainder when x is divided by (-1)\/2*(-286)\/13.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 5*j**2 + 4*j + 4. Let b be t(-2). Suppose 5*h - 44 = b. Suppose -60 = -h*y + 7*y. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1199 is divided by 18.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 87\/1742 and 99\/362068?\nAnswer: 4706884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -3376*x + 4224*x + 6561*x + 6945*x as h + y*x and give y.\nAnswer: 14354","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 504 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r = 213*p - 210*p + 23, -4*p = -3*r + 12 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2\/11)*h\/((h**(-4\/5)*h)\/h)*h)\/(h**0)**(1\/39) assuming h is positive.\nAnswer: h**(144\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 29*v**4 - v**3 - 66*v**4 + 35*v**4 - 5*v**2 as h*v + y + m*v**2 + u*v**3 + p*v**4 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 97 - -331. Suppose -5*l = -2*t - 1002, t - n = -5*l + 571. What is the hundreds digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-251)\/6 - (-10800)\/240.\nAnswer: 19\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that i**3 + 5*i**2 - 25*i - 125 = 0.\nAnswer: -5, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -210 = -t + 2. Let n be t\/(-8) + (-4)\/(-8). What is the least common multiple of 16 and (n - -49) + (0 - 1)?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -8*n + 457. What is the least common multiple of w(53) and 66?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 32*q - 1. What is the units digit of b(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/((-56)\/21)*-8.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 185, 189, 193, 197, 201?\n\"Answer: 4*o + 181","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and 0.3941683.\nAnswer: 0.07883366","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.6, -2, -218 in decreasing order.\nAnswer: -0.6, -2, -218","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the third derivative of -13*s**6\/3 + s**5\/20 + 5*s**4\/24 + 4*s**3\/3 - 7*s**2. Let l be m(8). Round l to the nearest ten thousand.\nAnswer: -270000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -10*b + 5*b. Let x be (-126)\/(-28) - 3\/2. Suppose -b = -x*w - 2. Solve 14 = -4*y - w for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/u**(-1\/2)*u**(-11) assuming u is positive.\nAnswer: u**(-19\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10027175 is divided by 1144.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**2 - z. Let w(m) = -25*m. Calculate -b(d) + w(d).\nAnswer: d**2 - 24*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 450414980?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12020 - 11021012?\nAnswer: -11001222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2\/7 (b) -1524 (c) -2 (d) -5 (e) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 12 = 3*h + 15, 0 = -4*v - 3*h + 9. Let o(u) = u**3 - 4*u**2 - u + 7. Let i be o(4). Solve q - i*q - v = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the first derivative of -p**8\/120 - 5*p**4\/24 + 3*p**3 + 10. Let s(v) be the third derivative of b(v). Differentiate s(k) with respect to k.\nAnswer: -56*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 24 - 11 = 3*v, -40 = -12*z - 4*v. Solve -z*s + 19 = 14*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 458853 and 3.\nAnswer: 1376559","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 71 + -95. Let l = 12 - k. Which is greater: 0.1 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let l = -11426 + 11431. Solve 3*r + l*g = -17, -18 + 6 = 4*r - 4*g for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/1633356 and -119\/6.\nAnswer: 1633356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 equal to -20369?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, u: 3, n: 9, r: 3}. What is prob of sequence rn?\nAnswer: 27\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 - -2. Let w = -3 - f. Which is the nearest to -2? (a) -1\/10 (b) w (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -4, 47, 114, 191, 272, 351, 422?\n\"Answer: -r**3 + 14*r**2 + 16*r - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 150 and 110.\nAnswer: 1650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 + (87\/(-414) - 1). Let q = -1\/23 - f. Which is smaller: -2\/7 or q?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 - 0. Solve r*f + 3 = 6*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the second derivative of 77\/2*y**2 + 1\/6*y**3 + 196*y + 0. Let g(q) = q. What is g(l(n))?\nAnswer: n + 77","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-28)\/(-10) - 4\/(-20). Suppose -m*t + 4*l = -13, -l = 2*t - 6 - 10. Suppose -y - 3 = -t. Is y a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -11*z - 2. Let s be u(-1). Let x be (60\/s - 3)*-18. Let r be 160\/24*x\/(-4). What is r rounded to the nearest 10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from ccsccscssc?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7980 - -25293. What is the hundreds digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (12 + -4)*(-1)\/(-2). Suppose -24 = -m*r + v + 29, 4*r = -5*v + 23. Calculate the greatest common factor of 3 and r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 2440 = -5*m, 0 = -o - m + 957 - 347. Suppose 0 = 1091*w - 1085*w - 30. Suppose 0*x + o = w*x. What is x rounded to the nearest 10?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16644*g - 78 = -16657*g for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4134825142 to the power of 1\/7, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the first derivative of -r**4\/2 + r**3\/3 - r**2\/2 - r + 5. Let k be s(-1). Find the third derivative of -6*i**6 - 2*i**6 + 4*i**6 - k*i**2 wrt i.\nAnswer: -480*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 192578, 385157, 577736, 770315, 962894?\n\"Answer: 192579*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 3*z + 2034 = 0, -2*x + 4*z + 342 + 664 = 0. Let a = x + -296. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f**5 - 5359*f**4 + 7552735*f**3 - 999677521*f**2 + 35279318368*f - 34287188224 = 0 for f.\nAnswer: 1, 71, 2608","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 305448223?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 57\/8 and 13\/68671014.\nAnswer: 274684056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/24, -3\/8, 2\/23, 82, 4\/3 in ascending order.\nAnswer: -3\/8, 1\/24, 2\/23, 4\/3, 82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -2*y**2 - 2*y**2 + 2*y**2. Let d(j) be the third derivative of 7*j**5\/60 + 7*j**2. What is d(n(i))?\nAnswer: 28*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -1 + ((-4)\/3 - (-4010)\/15).\nAnswer: 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 14334313 - 1010?\nAnswer: 14333303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**3 - 193*p**2 - 4202*p - 340. Let z be q(-168). Let n = 0.34 - -0.06. Put 2\/53, n, z, 2 in decreasing order.\nAnswer: 2, n, 2\/53, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the second derivative of -v**5\/110 - 130*v**4\/33 - 16637*v**3\/33 + 34322*v**2\/11 - 570*v. Solve c(n) = 0.\nAnswer: -131, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6897 is divided by 14?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/2, 4, 4\/75 in descending order.\nAnswer: 4, 3\/2, 4\/75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1128 - 499. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/1056 and -20\/2511.\nAnswer: 883872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*q = -5*q - 12. Suppose -3*m = -0*b + q*b - 631, -5*b + 785 = 5*m. Suppose 2*o - b = -2*y, -30 - 198 = -3*y + o. Is 11 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4551 + 6569. Let t = o + -1129. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*b**3 - 4*b**3 + 2*b**4 + b - b - 2*b**4 + (3*b - 4*b + 2*b)*(1 + b**3 - 1) + 2*b**4 - 3 + 3 - 2*b**3 + 2*b**4 + 2*b**3 + 2*b**4 - 2*b**4 - 7*b**4.\nAnswer: -2*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9888 - -9915. Solve a - 39 = 6*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -64 + 2 - (11 + -6) - (-33 + 16).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -368 + 503. What is the highest common divisor of a and 75?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 - -9. Let n(z) = -z**3 + 14*z**2 + z - 2. Let h be n(f). What is the third derivative of h*u - 12*u - 3*u**3 + 0*u**2 - 2*u**2 wrt u?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13\/2019 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (33 - 0) + (42 - (78 + -16))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 + 16907?\nAnswer: 16910","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bffggugbjbbbfb. What is prob of picking 1 j and 2 f?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/(-10))\/((23598\/304)\/(-69)).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2429 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 909 is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 1221?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*x = 11*x - 450. What is the closest to -3\/2 in 0.1, 0, 0.5, x?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16556 to the power of 1\/2, to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1176 - 1059. Does 9 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/2 (b) 0.4 (c) 3\/17 (d) -13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**19\/(j\/(j\/(j**16*j*j))) assuming j is positive.\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/15*r**3 + 326\/15*r**2 - 1346\/15*r - 334\/3.\nAnswer: 2*(r - 5)*(r + 1)*(r + 167)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6bc6 (base 13) in base 16?\nAnswer: -3b63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**2 - 17*m - 8. Give z(-16).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 3*y**2. Let r(l) = 21*l - 1. Let n(v) = 60*v - 3. Let g(p) = -6*n(p) + 17*r(p). Calculate f(g(m)).\nAnswer: 27*m**2 - 18*m + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 570680*z. Let s(i) = 22*i**2. What is s(o(d))?\nAnswer: 7164864572800*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**3 - 36*g**2 - 37*g + 15. Let x be k(37). Let b be 99\/x*20\/6. Let f(d) = d + 1. Let s(c) = 33*c + 22. Calculate b*f(a) - s(a).\nAnswer: -11*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -103 + -111?\nAnswer: -214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 5.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/13 (b) -1 (c) 1\/4 (d) 3.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 33*n**2 - 3*n + 4. Let s be p(1). Sort -4, s, 4 in descending order.\nAnswer: s, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = s - 2*g, 5*s = 8*s - 5*g - 5. Suppose -s*j - 11 = 5*t - 46, 9 = -3*j. What is the greatest common factor of t and 570?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 22\/33 - (-10)\/(-12). Let o = -37.03 + 33.03. What is the smallest value in 5, p, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23551965470*g**3 - 2*g + 2*g - 23551965367*g**3.\nAnswer: 103*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16018.\nAnswer: 2, 8009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqycyqyqryrryrq. What is prob of sequence ry?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2847727 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 573470 + -573467.56047. Let j = b - 2.8395. Let t = j - -0.4. Round t to five dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the third derivative of z**4\/3 - z**3\/2 + 4*z**2. Let s = -37 - -39. Does 13 divide b(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1882, 1874, 1846, 1786, 1682, 1522, 1294, 986?\nAnswer: 586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/20252112 and 35\/17672.\nAnswer: 20252112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 13714268 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*c + 12*c + 61239. Suppose -11019 + c = 36*n. What is the thousands digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 365 (base 12) to base 2\nAnswer: 111111101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = 3*g - 792. Suppose -4*v + g = -56. Let a = v - 67. Solve 3*i = -4*t - a, -3*t = -0*i + i + 11 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1582?\nAnswer: 2, 7, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7033387 is divided by 1534?\nAnswer: 1531","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*p - 66 = 54*p. Solve -7*l - 1 = p for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 2*j**3\/5 - 8724*j**2\/5 - 69888*j\/5 - 27968 = 0.\nAnswer: -4, 4370","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**2 + 16*z + 21. Let g be (98\/294)\/((-2)\/84). Determine q(g).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 3*i = -11, 278*i + 28 = -4*a + 274*i for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4.2865 - 3.8865. Which is the closest to 0.01? (a) -2 (b) -4 (c) r (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -433 - -464 - (-1 - (-1 + 4 + -11))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 2*f + 6. Suppose -4*k - 16 = -6*k + 5*u, -5*k + 2 = -3*u. Let c be p(k). Let z be 3\/(-15)*(-5)\/c*0. Solve z = -3*n + 5 + 1 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82074 rounded to the nearest one thousand?\nAnswer: 82000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmsmsmmmm. What is prob of sequence mssm?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/3848 and -41\/32708.\nAnswer: 65416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1256*k + 1266*k = 2670. Calculate the remainder when k is divided by 54.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 95aa5 - 3?\nAnswer: 95aa2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 + 5. Suppose 4*o = -j - 5 - 0, 5*j = x*o + 41. What is the lowest common multiple of 8 and j?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**2 - 8*l + 9. Let g be f(7). Suppose 2 = -w + 5*b, -g*b + 0 - 2 = w. Is w <= -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the second derivative of b**8\/6720 + b**7\/840 + b**6\/360 + b**5\/30 + b**4\/6 + 2*b. Let f(i) be the third derivative of h(i). What is f(-3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 7 = -2*l - 0*k, 3*k = -2*l - 1. Let z(n) be the second derivative of -1\/6*n**l + 0 + 3*n - 2\/3*n**3 - n**2. Factor z(y).\nAnswer: -2*(y + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, b: 1, u: 1, e: 1, r: 1}. Give prob of picking 1 y and 1 e.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0\/(-15)*(0 - -1). Suppose d = -6*i + 4*i - 4*h + 462, 2*i = -h + 447. List the prime factors of i.\nAnswer: 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 429*n**5 - 56352*n**4 + 1446228*n**3 - 10033296*n**2 - 6941184*n - 921600 = 0.\nAnswer: -6\/13, -2\/11, 16, 100","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5195, 41578, 140323, 332612, 649627?\nAnswer: 1122550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes before 1:15 AM?\nAnswer: 11:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from {r: 2, v: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8.1*-0.09.\nAnswer: 0.729","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 104?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + 3 + 10 + 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4 - ((-28)\/(-21))\/(4\/10). Let y = -0.071 - -0.121. Let v be ((-34)\/30 - 24\/(-30))\/(-1). Sort 1, l, y, v in descending order.\nAnswer: 1, l, v, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than -40\/5303?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 - 0. Let h(m) = m + 1. Let b be h(2). Suppose n + 4*n - 11 = -b*k, -1 = -3*n + k. Sort -2, j, n in increasing order.\nAnswer: -2, n, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**2 - a + 4. Let z be b(0). Solve 0*u = -3*u + 6, -z*o - 4 = 4*u for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -40, -38, -36?\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -95\/298 and -71\/4.\nAnswer: 596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -m**3\/4 + 9*m**2\/4 + 81*m\/4 + 135\/4 = 0.\nAnswer: -3, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1085493 or -1085494?\nAnswer: -1085494","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, 5, -49 in decreasing order.\nAnswer: 5, 3, -3, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 5079 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((6\/18)\/(94\/30))\/(30\/12).\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 - 8. Let k = 8 + h. Suppose -5*u = -k - 83. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*i - 30503 + 3*i + 30503.\nAnswer: 6*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 14 = -h - 3, -5*h = -4*k + 43. Solve -3*n - 5 = k for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1810681 to the nearest integer?\nAnswer: 1346","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(55)\/(sqrt(15)\/sqrt(27)) + 5 + -5.\nAnswer: -2 + 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -24 - 4?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9\/2 - -43\/8. What is the common denominator of -51\/11 and z?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15823?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*m**2 - m**2 + 3*m**2)*(0*m - 4*m + 3*m) + 993*m**3 + 483*m**3 + 736*m**3 + 52*m**3 to j*m + i*m**2 + h*m**3 + v and give h.\nAnswer: 2262","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -3*y**4\/7 - 327*y**3\/7 + 166413*y**2\/7 - 365631*y - 2726154\/7 = 0.\nAnswer: -302, -1, 17, 177","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 22*u**3 + 3463486*u**2 + 4093184*u + 629720 = 0.\nAnswer: -157430, -1, -2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 4*o - 6. Suppose 2*d = 2*f + 6, -2*f = -2*d - f + 7. Suppose 0 = -2*m + d*m - 12. Let g(p) = 12 - 7*p - 9 + 3*p + 4. Determine m*g(b) + 7*w(b).\nAnswer: 4*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -32 - -18260?\nAnswer: 18228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2\/15, -0.4, 1, 0.06, 7\/3, 31?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 2 - 13 + 1 - 2 - g + 0 - 2*g**2. Give i(-6).\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 113 - 163 = 0. Let k be 6\/21 + y\/(-21). Let f = k + 6. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 32230527 and 24?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 2*l. Let r(a) be the third derivative of 124*a**4 - 1149*a**2. What is r(i(h))?\nAnswer: 5952*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 36625213 less than -156611?\nAnswer: -36781824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 68 and 2873.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -89*r - 1. Let v be a(19). Let p be ((-16)\/(-24))\/((-3)\/v). Let w = 1945 + p. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 216488351 to the nearest integer?\nAnswer: 14714","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 308*l**4 - 1852*l**3 - 26936*l**2 + 7840*l = 0. Calculate l.\nAnswer: -7, 0, 2\/7, 140\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1094234, 1094244, 1094272, 1094324, 1094406, 1094524?\n\"Answer: f**3 + 3*f**2 - 6*f + 1094236","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((sqrt(1872) + sqrt(1872) + sqrt(1872) + (sqrt(1872) + -1 - sqrt(1872)))*2 + 1 + (sqrt(1872) - (sqrt(1872) + 1))*6 + 2)*2)**2.\nAnswer: -2880*sqrt(13) + 269668","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((-13)\/(26\/(-2))).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -1\/4, -12, 5, -1\/5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 2*d - 28 + 2, 0 = -d - c + 14. Suppose -2*a = 2*a - d. Suppose -2*f = -3*y + 104, 3*f = -a*y - y + 150. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 261*h - 532*h - 4*c = -269*h + 76, 147 = -4*h - 7*c for h.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-22)\/12)\/(-11))\/((-81)\/(18225\/20))?\nAnswer: -15\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -2*f**3 - 5*f**2 - 8*f - 10. Let i be h(-3). Is i\/((-50)\/(-7) - 7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 33) + 35 - (0 - 13)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6941\/6 + -1141. Calculate the common denominator of w and 19\/36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/7 and ((-738)\/5576)\/((-38)\/48).\nAnswer: 2261","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 228492387.7 rounded to the nearest 100000?\nAnswer: 228500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((sqrt(84) + sqrt(84)*-1 + sqrt(84))*-5 - sqrt(84) - sqrt(84)))\/(2*4*sqrt(72)\/sqrt(6)).\nAnswer: -7*sqrt(7)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 455657*n**5 - 212*n + 2 - 454127*n**5 - 354*n wrt n?\nAnswer: 30600*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -15*(-1)\/(-2)*-2. Let q(r) = -r**2 - 6*r - 2. Let u be q(-5). What is the highest common factor of u and t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -54 + 58. Suppose -f*i - 2*r = -16, 8 = i - 3*i + 3*r. Let c(u) = i*u + 4*u + 4 - 2*u - 2*u. Calculate c(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/((m\/m**21)\/m))\/m*m*m\/m**(-9\/5)*m**(3\/13)*(m\/(m*m**(-11\/3)*m))\/m assuming m is positive.\nAnswer: m**(5206\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (236*143\/42185)\/((-32)\/(-25)).\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1029)\/(-98)*4\/(-6) + 403. Calculate the highest common factor of 2013 and b.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkklhkkbkkbkkbklobkb. What is prob of picking 2 k and 1 l?\nAnswer: 11\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a**3 + 39856*a**2 - 1038284*a + 6753240 = 0 for a.\nAnswer: -9990, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -23, -0.1, 0.4, -1538, 4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**0*f**(-2\/13)*f*(f**(-1))**(11\/7)*(f**(-5\/2)\/((f*f\/f**(-2))\/f*f))**(3\/4) assuming f is positive.\nAnswer: f**(-4077\/728)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -102123303 + 3220?\nAnswer: -102120033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6\/7 in 2\/7, 0.2, -12, 3\/10, 9?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -38.87 - -461.87. Which is the second smallest value? (a) -2\/7 (b) -0.3 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 4*d = -8, -p + 5*d + 21 = -11. Suppose -3 + p = z. Calculate the highest common factor of 8 and z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:41 PM and 7:08 PM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, -0.1, -4, 11, -44?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -82466353 by 1289.\nAnswer: -63977","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*j**2 + 4*j**2 + 6*j**2 - 3*j**2 + 0*j**2.\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eeq when three letters picked without replacement from qqeqeeeeeeqqqq?\nAnswer: 7\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -224197500 divided by 1342500.\nAnswer: -167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/7*x**4 + 21*x**2 - 450\/7 + 9\/7*x**3 + 295\/7*x.\nAnswer: -(x - 18)*(x - 1)*(x + 5)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of -8 - (1 - -1 - 6460)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the third derivative of -u**6\/24 - u**4\/6 - 6*u**2. What is the second derivative of j(k) wrt k?\nAnswer: -30*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/14 - (-616)\/98. Suppose 0 = -0*i + 3*i + l, k = -5*i + 14. Solve -3*j + k + 5 = 4*g, -g = -3*j + 4 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 231, 1717, 4249, 7821, 12427, 18061?\n\"Answer: -r**3 + 529*r**2 - 94*r - 203","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the second derivative of b**4\/12 - b**2 + 13*b + 7. Give q(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -4*o - 14, -4*i - o - 2*o = 1. Let b be -3*2\/(-6)*2. Factor -5*n**2 + i*n**2 - 2*n + n**b.\nAnswer: -2*n*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3951*b + 3942*b + 707 - 7894*b to the form c*b + k and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 204 and 38929966.\nAnswer: 233579796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15*7\/7*-3*(-13)\/(-195)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-16)\/(-30) + 1\/(-3). Let x = 0.5 + 0. What is the second biggest value in -1\/5, x, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 307785 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2564588 and 298?\nAnswer: 298","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/7, 0.9, 74?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10 + 11. Suppose -11 = -5*d - k. Let y(j) = 2*j - 2. Let p be y(2). Solve 0 = p*h - d + 12 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 0 = 10. Suppose -15 = 3*v - 3*z, -3*v - j*z + 0*z = -10. Solve -3*x = -v*x + 15 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3680748 divided by 7092\nAnswer: 519","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 28 = -o, -4 = 5*o + 4*y + 136. Let d = o + 46. Calculate the remainder when ((-477)\/d)\/(1\/(-6)) is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 671 is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mfmjugmgmgmumggm. What is prob of picking 1 g and 1 u?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2984128 divided by 26644?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60*h**3 + 1 - 4 + 6 - 2 + 52*h**3.\nAnswer: 112*h**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42 - 3 = -13*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1289451*t**4 - 2*t**3 + 36*t**2 - 35559*t - 2 wrt t?\nAnswer: 30946824*t - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -46820.4*-3\nAnswer: 140461.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -68*i**2 + 280672*i - 2389020.\nAnswer: -4*(i - 4119)*(17*i - 145)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**3 + 9*l**2 + 10*l - 2. Let v be m(10). Is (-4 - 2)*7\/v a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/5 in 0, -0.3, -437909, 3, -5, 2\/5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, 0.1, 6 in increasing order.\nAnswer: -1\/4, 0.1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51537423?\nAnswer: 3, 7, 859, 2857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16167?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 17*p - 59. Let k be j(5). Let l be (-6)\/(-2) + (k + -8)\/9. Suppose 35 = 4*n + n. Solve l*t + 25 = -w, w = 3*t + 22 - n for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -75, -140, -203, -264, -323, -380, -435?\n\"Answer: q**2 - 68*q - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the third derivative of -u**7\/168 + u**6\/24 - u**5\/8 + 5*u**4\/24 - 5*u**3\/24 - 228*u**2. Solve p(j) = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.48 and 1.3.\nAnswer: -0.624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -303*r + 3. Let q be y(-4). Suppose -4*d = -d - q. Suppose 5*c - d = -0*c. Does 24 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3195 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12184 + 12195. Solve -2*k - c + 23 = 0 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1661?\nAnswer: 11, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*z + 18*z - 7*z.\nAnswer: -10*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 5, 4, 2, -2 in descending order.\nAnswer: 5, 4, 2, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**3 - 1568*p**2 - 788125*p - 124218750.\nAnswer: -(p + 318)*(p + 625)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 1101?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 889 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2113 + -11442244?\nAnswer: -11444412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times 16399?\nAnswer: -49197","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*290\/(-4)*124\/26815*173.\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**3 - 3*w**2 + 15*w - 9. Let c = 1095 - 1097. Let u(h) = -2 - 6*h**2 + 30*h + 0*h**3 - h**3 - 16. Let m(q) = c*u(q) + 5*f(q). Factor m(x).\nAnswer: -3*(x - 1)**2*(x + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -83372 + 1015372. Round b to the nearest ten thousand.\nAnswer: 230000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes before 11:47 AM?\nAnswer: 1:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/3 and -16\/39.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -0.0099, 0, -7, 1\/4 in ascending order.\nAnswer: -7, -2, -0.0099, 0, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-42)\/(-45))\/(5880\/(-102900)).\nAnswer: -49\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1675 is divided by 17?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2228211288.\nAnswer: 2, 3, 29, 355717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.02 - 3.08. Let x = -3 - r. What is the third smallest value in -4, x, -3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the second derivative of -1\/20*k**5 + 1\/4*k**4 + 0 + 2*k + 5\/2*k**2 + 1\/6*k**3. Let w = -61 - -65. Determine g(w).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*y = -322*y + 1963 - 5823 for y.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t + 3*s + 140, -3*t - 5*s = t - 140. Suppose t = 5*m - h - 25, -26 = -m + 3*h. Calculate the highest common factor of m and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 30 = 5*h, -2*h + 5*s + 5 = 3*h. Let v(r) = -6*r + 6. Let n(p) be the second derivative of 1\/2*p**2 + 0 - p - 1\/6*p**3. What is h*n(g) + v(g)?\nAnswer: -2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9\/35075 or 0?\nAnswer: -9\/35075","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the second derivative of -o**4\/4 + 22*o. Let a(m) = 8*m**2. What is w(a(c))?\nAnswer: -192*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s + 13 + 8. What is the greatest common divisor of s and 189?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3195 - -8974. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the second derivative of -5\/7*h**3 - 3\/28*h**4 - 2*h + 3\/35*h**5 + 1\/70*h**6 + 12\/7*h**2 - 31. Find n such that x(n) = 0.\nAnswer: -4, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1.1, -0.02, 461?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n, 1 x, and 1 v when four letters picked without replacement from {x: 2, g: 3, v: 2, b: 4, n: 2}?\nAnswer: 4\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r = -6*r - 20, 2*s - r = 15 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**3 - 13*o**2 - 12*o + 8. Let f be t(-12). Let n(r) = 7*r**2 - f*r**2 - r**2. Let p(z) = -2*z**2. Give n(p(j)).\nAnswer: -8*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 252 and 2150946?\nAnswer: 4301892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/9 - (-51)\/9. Suppose 0*m - m + t = 0. Let r = -6 + m. Let p(y) = -3*y. Determine p(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1766, 24, 1 in decreasing order.\nAnswer: 1766, 24, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 14*j**2 + 3*j - 71. What are the prime factors of p(-9)?\nAnswer: 2, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 531 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**2 - 12*c + 5. Let n be v(-12). Suppose 2*u = -2*t - 5 + 25, -5*u = 4*t - 45. Solve -17 = a - 6*s + s, u*s = -n*a + 35 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 132410207?\nAnswer: 31, 4271297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -2*k**4 - 74*k**3 - 226*k**2 + 1226*k - 924 = 0.\nAnswer: -33, -7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2436)\/1218)\/((-4)\/126)?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -657*j. Let a(n) = -64 - 55 + 119 + 3*n. Calculate u(a(z)).\nAnswer: -1971*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1008*s**2*x**3 + 3*s**2*x**2 - 8*s**2*x + 1253*s*x - 3*x**3 wrt x.\nAnswer: -6048*s**2*x + 6*s**2 - 18*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*u + 44*u = 15*u - 529 for u.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 3*p**4 + 1 + 0 + 2*p - p**3 - 4*p to the form a*p**3 + g*p**2 + y + v*p**4 + q*p and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/1*3\/((-24)\/184). What is the second derivative of c + 0*z**5 + 17*z**5 + 6*z**5 - 9 + 2*z wrt z?\nAnswer: 460*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36244.5967577 + -0.34?\nAnswer: 36244.2567577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g\/g**(1\/12)*g))\/g**(2\/11))**12*((g\/((g\/g**(1\/4))\/g*g))**(-2\/55))**(1\/45) assuming g is positive.\nAnswer: g**(-65251\/4950)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -46\/7, 0 in increasing order.\nAnswer: -46\/7, -0.3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 36, 54, 72?\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 2*g = 0, 2*o = -o - 5*g + 8. Let y(m) = -2 + 6 + 0 + 6*m**2 - 11 + 6. What is y(o)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**2 - 8*b. Let g be u(-8). Suppose 0 = 2*p - q - g*q - 65, 2*p - 69 = -3*q. Does 18 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 53892 - 53891.7. Let p be (-9)\/(-4)*1\/6. Sort -3, y, -2, p.\nAnswer: -3, -2, y, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**2 + 7*o - 5. Let f(d) = d**2 - d. Let h(j) = 5*f(j) + u(j). Is h(7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**2 - 14*m - 31. Let j be d(-3). Suppose 5*r - 3*b - 113 = 0, 0 = j*r + 2*b - 0*b - 58. List the prime factors of r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 128*a**4 + 928*a**3 + 1010*a**2 + 300*a = 0. Calculate a.\nAnswer: -6, -5\/8, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18931?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 48947563 a multiple of 1189?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 22.8 - 28.75. Let o = a - 0.05. Let m = o + 5.8. Put 0, m, -2\/3 in decreasing order.\nAnswer: 0, m, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3\/(15\/(-4)))\/((-618)\/(-515)). Put -0.1, -1, 0.19, b in descending order.\nAnswer: 0.19, -0.1, b, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3601 divide 677654317?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 132\/242*2*(-1)\/(4\/2).\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 465067?\nAnswer: 465067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - 24 = x, -4*x = -x - x + 6 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 47\/(2538\/36) + 1918\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-13)\/156 - (-20)\/(-48). Let m(t) = t**3 + 3*t**2 - 2*t + 3. Let z be m(-4). What is the nearest to 0.1 in -0.4, i, z?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1037137443*w + 533080320 wrt w.\nAnswer: 1037137443","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 16\/(-3)*18\/(-8). Let o be (d\/14)\/((-1)\/(-7)). Let b = 17 - o. List the prime factors of b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -4*i + 0*i + 0*i - 6. Calculate the least common multiple of x(-6) and 1 + (-5)\/(1 + -2).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -26 (b) 2 (c) 38\/3 (d) 0.1 (e) 1\/11 (f) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 56 + -50. Suppose -b*x = 3*x - 8*x. Suppose -d - 20 = -g, 3*d + d + 8 = x. What is the lowest common multiple of 27 and g?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence carf when four letters picked without replacement from iaarifacrcziff.\nAnswer: 3\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 6, -4, -12593 in descending order.\nAnswer: 6, 0, -4, -12593","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -68 + 61. Is 34 a factor of (-7 - x) + ((-2236)\/(-4) - 5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.4 + -11.4. Let i = 11 + w. Let l = 3 + -2.9. What is the closest to i in -0.5, l, -1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -24897.8207 from 703.\nAnswer: 25600.8207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5068 is divided by 790.\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z*z**(-1\/18))*z)**(-20) assuming z is positive.\nAnswer: z**(-190\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 197027?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 31386504?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3441606065 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 9*q. Let h(t) = 41*t + 352*t + 83*t + 105*t. What is o(h(r))?\nAnswer: 5229*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -110221112001202 + -12?\nAnswer: -110221112001221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes before 10:38 AM?\nAnswer: 1:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(57)\/(sqrt(9)\/sqrt(3)))**2 + sqrt(1539)*1 + 5 - (((-2*sqrt(228) - sqrt(228))\/sqrt(12) - sqrt(114)\/(sqrt(6) - sqrt(96))) + 3).\nAnswer: 21 + 35*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 0*s + 3*s**2 - 4*s**2 + 2 - 5*s. Let t be 24\/(-5) + 3\/(-15). What is the units digit of d(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6 + 348\/(-24) + 7. Let m = -0.17 + -6.83. What is the biggest value in 3, m, t?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 2*h + 69, 0*c = 4*c + 3*h - 46. Let l(w) = -w**3 - 5*w**2 + 9*w + 2. What is the remainder when l(-7) is divided by c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12389 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, c: 1, z: 6, t: 1, p: 1, s: 5}. What is prob of picking 1 p and 1 z?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dy when two letters picked without replacement from fddffdydtty.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*8\/(-10)*5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*h - 5*h = -h - 65 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 50\/11799 and -68\/285.\nAnswer: 58995","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4169 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the second derivative of p**5\/20 - 5*p**4\/12 + p**3\/3 - 3*p**2\/2 - p. Let j be o(2). Let z = 18 + j. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -21 + 12. Let z = s + 13. Let u = -4.00003 + z. What is u rounded to five dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 3 n when four letters picked without replacement from {s: 1, p: 4, e: 1, n: 5, o: 1}.\nAnswer: 8\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the first derivative of -5*d**7\/42 - d**4\/6 + 3*d - 3. Let l(h) be the first derivative of f(h). Find the third derivative of l(r) wrt r.\nAnswer: -300*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(648)*-6)\/(3*sqrt(324)))**2.\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -3.1 * -2641\nAnswer: 8187.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**2 - 4*u - 12. Let c be (4 - 5)*12*-1. Let a be z(c). Suppose -9*o**2 + 20 + 6*o**2 + a*o + 19*o**2 = 0. Calculate o.\nAnswer: -5, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10793\/77 - -1545\/11. Let j = 6 + -3. Suppose -3*x + 13 = -4*l, -j*x - 5 = 2*l - 4*x. Which is the second biggest value? (a) 3 (b) s (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (20\/12 - (-4)\/(-6))\/((-120819)\/1530 + 79)\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 6 = -3. What is the units digit of ((-10)\/(-4) + c)*2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes after 1:37 AM?\nAnswer: 2:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 37 + 407 = b, -4*v = 2*b - 354. Suppose -3*w + v = 53. Solve x - 5*q - w = -3*x, -4*q - 24 = 4*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -42108, -168483, -379124, -674031, -1053204, -1516643, -2064348?\nAnswer: -2696319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in -0.1, 4\/3, 0.2, -17?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: e (base 16) to base 12\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -433\/65 - 9\/65. Calculate the common denominator of 48\/5 and d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -23 by -100564.\nAnswer: 23\/100564","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-5)\/(-2)*(-1)\/5. Let w = -3.12 + 3.5. Let v = w + -0.08. Which is the nearest to m? (a) 2\/7 (b) -0.2 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**2 + q + 3. Suppose 0 = -7*x - 0*x. Let u be f(x). Suppose 2*w = 2*v - 22, 4*v - 63 = -v - u*w. Is v > 12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -426451*r**4 + 311045*r**2 wrt r?\nAnswer: -10234824*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 10 = 3*m, 6*k + 19 = 4*m + 9*k for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 2975 divide 39280301?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*(g\/g**(-1))\/g*g*g*g*g**(-9))\/(g**(-10)*g*g**(-17)\/g*g) assuming g is positive.\nAnswer: g**22","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6461*n - 12560*n + 6255*n.\nAnswer: 156*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*r = 3*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 - 29 = 4*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -23*m - 2*v - 110 - 126, -21 = 3*m - 3*v for m.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1234 + -57996\/47. Let n = -13\/48 + 1\/48. Sort n, -1\/9, t in ascending order.\nAnswer: n, -1\/9, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 26*o + 8. Determine r(-2).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/(96\/(-3))*-6. Which is the closest to -2? (a) 0 (b) i (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2b + a2?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -56 + 63. Let x(a) = 11*a**2 - h*a**2 - 2*a + a**2. Let f(u) be the second derivative of -u**4\/3 + u**3\/3 - 3*u. Calculate -3*f(o) - 2*x(o).\nAnswer: 2*o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.51 + -0.09. Let q = h + 1.72. Let w = 0.32 - q. Which is the biggest value? (a) w (b) 3 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24523 is divided by 229.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9043 is divided by 38.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.3, 3, -0.5, 30691, 4, -0.2 in decreasing order.\nAnswer: 30691, 4, 3, 1.3, -0.2, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 + 4. Let f = 13673 + -13674. What is the nearest to f in j, -0.5, -0.6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4963934572 to the power of 1\/9, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 260971 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 763*k + 3375 + 8537 = -6400 for k.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 371236 * -0.13\nAnswer: -48260.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -12*v**2 + 5*v + 44. Let a(p) = -13*p**2 + 6*p + 45. Let x(d) = -5*a(d) + 6*r(d). Differentiate x(f) wrt f.\nAnswer: -14*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(88)\/sqrt(4)*5)\/(sqrt(11) - (2*sqrt(1584) + sqrt(1584))))**2 + ((sqrt(200) - sqrt(200)*5)**2 - (sqrt(242) + sqrt(2))*6).\nAnswer: -72*sqrt(2) + 156802\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1341820 greater than or equal to -1341809?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2913695.5 - 3.\nAnswer: -2913698.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1 (b) 0.37 (c) 8 (d) -4 (e) 0.2 (f) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8 and 6344?\nAnswer: 6344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -258*k - 22225 - 7712 = -2019*k for k.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3 - 0) + (-12)\/(-2). Calculate the common denominator of -34\/9 and -5 + u + (-66)\/(-5).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 40*o**2 + 26*o - 2. Let r(h) = -27*h**2 + 2 - 16*h - 15*h**2 - 8*h + 3*h**2. Let m(t) = 5*r(t) + 4*z(t). What is the second derivative of m(a) wrt a?\nAnswer: -70","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 246836, 246820, 246790, 246740, 246664, 246556?\nAnswer: 246410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 37 - 72. Which is the second biggest value? (a) 5 (b) 0.3 (c) -5 (d) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3 + ((-7)\/(-4))\/((-4)\/(-16)). Let j be o + -4 - 0 - 4. Let u(z) = -101*z + 3. Is u(j) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 12\/20*(-30)\/(-9). Let a(v) = -v**3 - 3*v**2 + 2*v + 10. Let x be a(-3). Suppose -13*p = -17*p + x. Solve c*y + p = -3 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0.03, 5, -0.3, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13\/56 != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cmwwjjgccjjejjejj. What is prob of picking 2 c?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9312 by -21386.\nAnswer: 4656\/10693","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 458*h - 2. Let d(m) = 26283*m**2. Give v(d(u)).\nAnswer: 12037614*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 284785 and 15?\nAnswer: 854355","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6973902, 27895608, 62765118, 111582432, 174347550?\nAnswer: 251060472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18\/(-36)*(-38)\/1?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -171*b + 1023487 - 457593 = -809801. List the prime factors of b.\nAnswer: 5, 1609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z - 2*z - z)*(-12*z + 5*z**4 + 12*z) - 4*z - 2*z**5 + 4*z - z + z - 3*z**5.\nAnswer: -10*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((6\/20)\/(12\/(-15)))\/1\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -2*k + 6. Let l = 6.88 - 7. Let n = 4343 - 4342.9. What is the second smallest value in n, l, k?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-2*sqrt(1620))\/(-2*sqrt(900) - sqrt(900) - sqrt(900) - sqrt(900)).\nAnswer: 36*sqrt(5)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 525*t = 534*t - 128 + 38 for t.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:33 PM and 7:14 PM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the third derivative of 13*j**8\/84 + j**6\/120 - 46*j**5\/15 - 907*j**2. What is the third derivative of i(o) wrt o?\nAnswer: 3120*o**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -906.23 - -906. Which is smaller: g or 15?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -5*s + 1. Let i(p) = -6*p + 1. Let j(m) = -6*i(m) + 7*t(m). Let n(b) = 2*b + 4. Let k(l) = 4*j(l) - n(l). Let v(g) = -2*g. Calculate v(k(h)).\nAnswer: -4*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8489*g**2 + 4170*g**2 - 3 + 4405*g**2 + 8.\nAnswer: 86*g**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9*s + 9 - 4 + 7*s)*(-2 - 3 + 3)*(657*s - 8*s + 993*s) to b*s**2 + q + x*s and give x.\nAnswer: -16420","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.03 and 12.87196?\nAnswer: 12.90196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 17*z - 5*z**5 - 2*z**3 + 2*z**3 - 2 + 47*z**5 wrt z.\nAnswer: 840*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 4, d: 2, w: 2}. What is prob of picking 2 d, 1 w, and 1 e?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 12046 a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/5 - 1 - 3920\/(-25) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*n - n + 2*n + (n - 4 - 4*n + 2)*(-5 - 15 + 10) to the form v + k*n and give k.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1679552606?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-25030)\/(-292851))\/((-2)\/(-3)*3\/(-6))?\nAnswer: -10\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 667\/20 + -131\/4. Let d(x) be the first derivative of 3\/2*x**4 - 3*x**2 + h*x**5 + 0*x**3 - 3*x - 18. Let d(t) = 0. What is t?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 5*t + 5*h + 1270 = 0, -770 = -3*t + h. Suppose 2*z + 48 = t. Is 21 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 12*o**2 + 142*o - 331. Calculate a(-14).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -4*v, a + 3*v = 5 + 17. Let z = a - 8. Suppose 3*j = 2*u + 43, -5*j - 5*u + 80 = -0*u. Calculate the greatest common divisor of j and z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.07 + 13.93. Let q = 9 - p. Let t = 5.9 + -6. Which is the third biggest value? (a) 4 (b) q (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2099?\nAnswer: 2099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002382873675 to four dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2034?\nAnswer: 2, 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kvk when three letters picked without replacement from kvvk?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d + d - 3*d)*((0 + 3 - 5)*(2 - 2 - 2) - 5 + 3 - 6)*(6*d**2 - 21*d**2 - 3*d**2).\nAnswer: 72*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**2 + 9. Let m be g(3). Suppose -w + m*c + 5*c + 24 = 0, 0 = 4*w + 3*c - 4. Solve 3*f + 2 = -w for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 + -2. Suppose -164 = -4*w + 5*j, -2 = -2*j + 6. Suppose 0 = -5*l + 3*k + w, 3*l + g*k - k = 26. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 121*k + 2316 - 11391 = 0. Solve 110*o = 185*o - k for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 - ((-26 - -11) + 13)) + 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from thhhhtthhhhhhh. Give prob of picking 2 h and 2 t.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12.9 - -14. Let y = u - 0. What is the second biggest value in y, 0.1, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/7? (a) 22 (b) -4\/5 (c) 150 (d) 7 (e) -0.4 (f) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (17\/85 + 17\/(-110))*1?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-380)\/40*(-915)\/3477?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r + 3*m = -7, 6*r + 21 = 3*r + 3*m for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2967 + 15689*c**3 - 5940 - 15714*c**3 + 2973.\nAnswer: -25*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c**5\/9 - 4*c**4\/9 + 40*c**3\/9 + 80*c**2\/9 - 128*c\/9 - 256\/9 = 0. What is c?\nAnswer: -4, -2, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**2 - 5*d + 6. Suppose -15*t + 14*t = -4. Determine j(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -183 + 185. Let m be -6*(-9 + (1 - -2)). Does 4 divide (q - 6) + m\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (184\/94 - -1) + -3. Let g(y) = 2*y + 16. Let z be g(-7). Let p(b) = -b**3 + 4*b**2 - 3*b - 3. Let m be p(z). Which is bigger: o or m?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12576 - -17513. What are the prime factors of i?\nAnswer: 4937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-48)\/(-104))\/((-17091)\/(-2743))\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -2*v**2 + 8*v - 32. Give c(4).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -5244596, -10489220, -15733868, -20978540, -26223236?\n\"Answer: -12*z**2 - 5244588*z + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2002*p**2 + 422 wrt p.\nAnswer: 4004*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the third derivative of a**4\/8 + 67*a**3\/6 + 21*a**2 - 7. Determine f(-25).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is b23 - 1?\nAnswer: b22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v + 8*h - 20 = 6*h, 2*h = 2*v - 8 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*u = 11*u - 58. What is the remainder when u is divided by (-11)\/1 + 256\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49533 is divided by 48?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*g - 1341 + 120 + 10*g.\nAnswer: 2*g - 1221","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 28 and 56.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -32, -41, -68, -125, -224, -377, -596?\n\"Answer: -2*h**3 + 3*h**2 - 4*h - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -383 + 401 = 6*x - 22*x - 1150 for x.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1439, -1441, -1445, -1451, -1459, -1469?\nAnswer: -1481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.08 and -1.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2.0183 and -0.101809.\nAnswer: -2.120109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 6 - 28*v**2)*(0 - 1 - 1) + (2 - 2*v**2 - 2)*(0 + 1 - 2) + 25*v - 25*v - 7*v**2.\nAnswer: 51*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.050276 rounded to four decimal places?\nAnswer: -0.0503","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/2 - (290\/(-50) + 2).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u - 2*u + u)*(-2*u**3 + u - u) - 3*u**4 + u**4 + 3*u**4 - 21*u**4 - 14*u + 14*u.\nAnswer: -22*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1416045 + 0\nAnswer: -1416045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 54545.55 micrometers?\nAnswer: 54.54555","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 21 - -14. What is the highest common factor of o and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3 and 258?\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1324?\nAnswer: 2, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m - 2 + 5, 0 = 3*s + 5*m + 53. Let t = s + 30. What is the remainder when t is divided by (4 - 4\/(-2))*(-6)\/(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1503 * 1.\nAnswer: 1503","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*v + 29*v**2 + 0*v - 32*v**2.\nAnswer: -3*v**2 - 21*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -97301, -97327, -97365, -97409, -97453, -97491?\n\"Answer: b**3 - 12*b**2 + 3*b - 97293","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2214*p - 6266 - 18088 = 0 for p.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7297.78535 rounded to the nearest ten?\nAnswer: 7300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 198 and 2938728.\nAnswer: 96978024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*g**4 + 2*g**3 + 804*g**2 + 22604*g - 2?\nAnswer: 24*g**2 + 12*g + 1608","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2574\/29 - -9056\/87. Suppose 242\/3 + b*j**2 - 2\/3*j**3 - 286\/3*j = 0. Calculate j.\nAnswer: 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 2*b**3 - b**2 - 11*b + 13. Let p be y(1). Determine d, given that -8\/11*d + 8\/11*d**2 + 6\/11*d**p + 0 - 4\/11*d**4 - 2\/11*d**5 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*z + 6*z + 0*z)*(-60*z**2 + 31*z**2 + 29*z**2 + 41*z**3).\nAnswer: 82*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15402380 - 4*b - 15402380.\nAnswer: -4*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 >= 19.06?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58 = 4*x + 14. Suppose 4*i - 4*d - 32 = 0, -3*i + d + 38 = 10. Let a = 21 + i. Calculate the remainder when a is divided by x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o - 5*m + 3335, -o + 671 = -4*m + 3*m. Suppose -5*c - r + 5*r = -672, -5*c + o = -3*r. What is the greatest common factor of 12 and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 136599141257 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2156)\/1694)\/(8\/(-44)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.329952 rounded to three dps?\nAnswer: 0.33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6.06 + 1.06. Let l be (-5 + 7)\/(1 - -1). What is the second smallest value in 2, p, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 8 = -2*f, -2*w - 117 = -f - 122. Let u(y) = y**2 + 2*y - 1. Let h be u(-2). Sort w, 5, 7, h in descending order.\nAnswer: 7, 5, w, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 816067913 to the nearest integer?\nAnswer: 934","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12 + 33. What is the tens digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*(c\/(c*c*c**(-2\/7)))\/c)\/(c*c**(1\/14)))\/(((c*c\/(c*c\/(c*c\/(c\/c**(2\/21)))))\/c)\/c**(-8)) assuming c is positive.\nAnswer: c**(-415\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.7*0.05.\nAnswer: 0.135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -12176 divided by -8\nAnswer: 1522","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the second derivative of 13\/5*l**5 + 5\/3*l**4 + 13*l + 6\/5*l**6 - 2*l**3 + 0 + 4\/21*l**7 - 4*l**2. Let h(u) = 0. Calculate u.\nAnswer: -2, -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.242027*8.\nAnswer: -1.936216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12 and 32.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 18806 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000208711 rounded to 6 dps?\nAnswer: 0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16 and 96.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 102 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 + 173?\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -3, -4, 0.115, -3.1, -5\/4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 261?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -56*a - 733. Give g(-13).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q + 19 - 61. Let h be (-4828)\/(-119) - 8\/q. Let u = h - 119\/3. Which is the second smallest value? (a) 5 (b) u (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14942, 18249, 21556?\nAnswer: 24863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 10 - 35 = 0. Suppose 5*w + s*t = 380, 6*w = 3*w + t + 232. What are the prime factors of w?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1724 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 - (-3 + (-5 + 5 - -4) + -3).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**2 + 35*u - 167. Let j be n(29). Suppose j*o + 13*o = -40. Which is the second biggest value? (a) -0.3 (b) 1\/6 (c) o (d) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6746.8224 + 6750. Round p to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 29 - 21. Suppose n*t - 41 = 151. Solve -5*a + 16 = -3*i, 0*a - 3*i = 3*a - t for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.23 - 0.03. Let v = n - 1.9. Let t = 0.3001 - v. What is t rounded to five dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -797 - -794. What is the closest to -0.59 in -2\/11, -0.3, j, 2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 2056 = -2*v. Let o = v + 1663. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2135 and 1220?\nAnswer: 8540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000 + -10010?\nAnswer: -11010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 605*m**2*n**2 - 2*m**2*n + 5*m*n - 19*m - 22976438*n**2 wrt m?\nAnswer: 1210*m*n**2 - 4*m*n + 5*n - 19","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(68) - (sqrt(68) - (1*1*sqrt(68) + sqrt(68)))) + sqrt(68))\/(sqrt(196)*1)*-5.\nAnswer: -60*sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 10 - 10 = 0. Let q(h) = h**2 + 4*h + 1. What is q(a)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 98836508 + 5?\nAnswer: 98836512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -5*u + 40. Let g(d) = d + 4. Let h(b) = -a(b) + 10*g(b). Let v(l) = -2*l + 28. Determine h(v(m)).\nAnswer: -30*m + 420","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**2 + 4*w - 3. Suppose 0 = -3*x - d + 12, 5*d = -2*x - 1 + 9. Give l(x).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -542980 divided by 32?\nAnswer: -135745\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the second derivative of 1427*z**6\/30 - 1243*z**2\/2 + 2*z - 297. Differentiate r(n) with respect to n.\nAnswer: 5708*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -2018, -1999, -1978, -1955, -1930, -1903, -1874?\n\"Answer: t**2 + 16*t - 2035","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - g - 9 = 0, 5*x - 6 = 2*x + 4*g. Let k = 8 - x. Let a be k\/(-3 + 34\/10). Solve -4*u = a*w + 6, -5*w - 4*u = -w + 4 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, -18, -602.534, 5, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3067 + -3023. What is the least common multiple of (2*20)\/(0 + 1) and u?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*t + 54 = -45*t. What is the derivative of -t*m**4 - 8 - 3 - 58 wrt m?\nAnswer: -216*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:36 AM and 2:32 PM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the first derivative of x**3\/3 + 7*x**2\/2 + 8*x + 1. Let d(t) = -400*t + 74791. Let b be d(187). Calculate a(b).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1829557268 to the nearest integer?\nAnswer: 1223","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 8*s**2 - 14*s - 188. Determine t(5).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 22 + -14. Is t + 3 - (-1 + 5) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -81520, -165385, -249254, -333127, -417004, -500885?\n\"Answer: -2*y**2 - 83859*y + 2341","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -2*h**2. Let u(y) be the first derivative of 0*y + 1\/2*y**2 - 2. What is a(u(z))?\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - 45267423?\nAnswer: -45267428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7045 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t*t\/(t**1*t)))**(1\/44)\/(t**(-2\/7)\/(t*t**2)) assuming t is positive.\nAnswer: t**(1019\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 38 + -32. Calculate the lowest common multiple of j and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 249255 (b) 0.1 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 20052 + -20050. Solve 4*m = 2*f - 22, x*m + 3*m + 15 = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 14*y**2 - 9*y. Let k(f) = 6*f**2 - 4*f. Let j(q) = -9*k(q) + 4*u(q). Let x(m) = 7*m. What is x(j(v))?\nAnswer: 14*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/7)\/(((-539)\/(-26754)*39)\/((-2)\/(-16))).\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**9)\/c**2 assuming c is positive.\nAnswer: c**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**2 - 5*s + 7. Let h be m(-5). Let n be (150\/(-18))\/(2 + 69\/(-36)). Let z be (12\/10)\/((-40)\/n). Solve z*u = h*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 65812?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -5*j**2 + 2*j. Let s(u) = 2*u**2 - u. Let r(c) = -4*i(c) - 7*s(c). Is r(-2) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n - 5*h + 39, -n - 2*n + 23 = 5*h. Let q be 4\/n - (-52)\/48. Which is the second biggest value? (a) 2\/13 (b) q (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 77 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the first derivative of -32*d**6\/9 - 2864*d**5\/15 - 42481*d**4\/12 - 22805*d**3 + 17775*d**2\/2 - 1125*d - 461. Factor l(u).\nAnswer: -(u + 15)**3*(8*u - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1448903, 1448931, 1448965, 1449005, 1449051, 1449103, 1449161?\nAnswer: 1449225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1 times 492760.1\nAnswer: 492760.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*y - 7*y - 9*y)*(-y + 0 + 0)*(-3*y**2 + 2*y**2 - y**2).\nAnswer: -48*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 945574097 and 581.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 949 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 101.46 less than -0.0239045459?\nAnswer: -101.4839045459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 10\/(-4)*2*(-22 - (-4134)\/265)\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 153126*o - 3 + 3.\nAnswer: 153126*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 210.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -91425870395.400000239 + 91425870449. Let f = -53.6 + a. Round f to 7 dps.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 4*g**2 - 1014536*g - 3043644 = 0.\nAnswer: -3, 253637","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (52\/728)\/(((-22)\/(-20))\/(-11)).\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -28680 to the nearest one thousand.\nAnswer: -29000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -12*t**3 + 3888*t**2 + 3891*t + 4. Give y(-1).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -152386, -304777, -457168, -609559, -761950?\nAnswer: -914341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2037 and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 244 + 160 + 806*j**2 + 348 wrt j?\nAnswer: 1612*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 298*f*m**2*p**2 + 2*f*m**2*p + 184*f*m**2 + 4*f - 4*m**2 + 9*m*p**2 wrt p.\nAnswer: 596*f*m**2 + 18*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2218.5 + 2218. Let i = 0.8 - 0.3. What is the nearest to 1 in b, i, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -383, -767, -1153, -1541, -1931, -2323?\nAnswer: -2717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s**2\/7 - 11865240*s\/7 + 5865996677400\/7 = 0. Calculate s.\nAnswer: 988770","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (10 - 175\/10)*(-1646)\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 754218 to the nearest integer?\nAnswer: 868","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6 and 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -73*n - 227. Calculate the remainder when l(-10) is divided by 230.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h - 2*q + 3463, -464 = -3*h + q + 3011. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.449938 decades in months?\nAnswer: 773.99256","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 843556 (base 10) to base 16.\nAnswer: cdf24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -134, -295, -662, -1229, -1990?\n\"Answer: p**3 - 109*p**2 + 159*p - 185","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*m - 41519 = -41343 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -69 + 209\/3. Let x = -0.59 + 3.69. Let b = x + -0.1. What is the third biggest value in a, b, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80611 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 7, f: 7, l: 4}. What is prob of picking 1 l, 1 i, and 2 f?\nAnswer: 49\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 3*s - 5. Give z(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-475)\/25 + 259\/14)*(0 - -1). Let q be 6\/(-21) - 2832\/(-14). Which is the closest to n? (a) 2 (b) q (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -150*o - 19196. Calculate h(-128).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - ((-444)\/60 - (12 + (-15)\/1)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**2 + 7*f - 9. Let p be o(-10). Suppose 0 = -33*j + p*j - 84. Sort 16, j, 4 in decreasing order.\nAnswer: 16, 4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -68 + 344\/5. Let r = 7 + -2. Suppose r*q = 2*q. Is g < q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20854891 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*a - a**4 + 0*a**4 + 2*a**2 - 2*a**4 + a**4 to the form g*a**3 + n*a**2 + j*a**4 + m + q*a and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) 3.3 (c) 8 (d) 4\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1081 or 1082?\nAnswer: 1081","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -95 + 91. What is the second biggest value in g, -2\/3, -3, -8?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28506 times -0.08?\nAnswer: -2280.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -126*o**3 + 18*o**2 - 6*o - 12. Let r be y(-8). What is r rounded to the nearest 10000?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 64 = 5*n - 0*f, -2*n + 2*f = -20. Does 6 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 91157?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*y**4 - 5*y**4 + 4*y**4 + (2*y - 2*y + 2*y**2)*(1 - 1 + y**2) - 5*y**4 - 12*y**3 + 12*y**3 - y**4 + 0*y + 0*y.\nAnswer: -5*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4.8 + 0.8. Suppose 74 = 4*o + 33*o. Suppose 2*y - 10 = 4*w + w, -5*y = -4*w - 8. What is the closest to y in 5, o, z?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the third derivative of w**7\/280 + w**6\/120 + w**5\/40 - 5*w**4\/6 - w**2. Let t(k) be the second derivative of g(k). List the prime factors of t(4).\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -9*k**3 - k**2 - 7*k + 4. Let q(v) be the third derivative of v**6\/20 + v**5\/60 + 5*v**4\/24 - v**3\/2 - 31*v**2. Give 5*l(f) + 7*q(f).\nAnswer: -3*f**3 + 2*f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 187382303 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7038 and 18216.\nAnswer: 309672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*a**3 + 0*a**3 - a**3)*((-1 + 2*a + 1)*(-3 + 2 - 1) + 6*a - 4*a + 0*a + 4 - 4 - a) in the form g*a**4 + u*a + d + b*a**2 + n*a**3 and give g.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3311385537?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, w: 2, x: 1, m: 3, b: 12}. What is prob of picking 2 m?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the third derivative of 2*c**5\/15 + 1955*c**2. Let y(d) = 15*d**2 - 1. Give 11*t(s) - 6*y(s).\nAnswer: -2*s**2 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 161*l**4 - 5*l - 1452.\nAnswer: 644*l**3 - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 14309.243 rounded to zero decimal places?\nAnswer: 14309","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3970.104 - -32313.\nAnswer: 36283.104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 3, -2, 1\/42, 0.5?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 67, 66, 65?\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -75 divided by 327109\nAnswer: -75\/327109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 132\/30 + -8 - 2\/5. Let q(c) = -432*c + 55. Is q(d) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 333065 is divided by 3179?\nAnswer: 2449","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t*t**(-25)\/t*t)\/t)**(-48)*(t*t**(6\/23))\/(t*(t**(-3\/2)*t)\/t*t) assuming t is positive.\nAnswer: t**(53027\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 5*c = -25. Is 2737 + (c - 0) - 3 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:58 PM and 1:25 AM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.2 + 0.1. Let k = -5.98 + -0.02. Let x = k - -10. Which is the smallest value? (a) x (b) -5 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/11 (b) 49 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 2*r - 53, 12*d = -3*r + 16*d + 62. Suppose -4*m + 26 = 3*x - 12, -4*m - 74 = -5*x. What is the greatest common divisor of r and x?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42838931477 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 - 30 - (24 + -4) - (1 - 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*u - 5*u + 0*u)*(-1 + 1 + u) to j*u + t*u**2 + v and give t.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**2. Let c be 1 + 7\/5 + 141\/235. Let a(i) be the third derivative of 0 + 0*i + 0*i**4 + 0*i**c - 1\/60*i**5 - i**2. Calculate a(b(p)).\nAnswer: -p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y = 0, -3*y + 2 = 3*p - 7 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -197\/120 - 41\/15. Calculate the common denominator of (-73698)\/1384*8\/252 and k.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the third derivative of p**5\/15 + p**3\/3 - 4*p**2. Find the first derivative of n(i) wrt i.\nAnswer: 8*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (18\/(-10) + 2)*1. Let l = 81 + -81.5. Let h be (3\/(-6))\/((-1)\/(-2)). What is the closest to h in j, 3, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (21\/(-126))\/(1\/3)*(-35)\/((-350)\/(-540))?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of f**2*j**2*q - f**2*j**2 + 21543*f**2*j*q - 1550*f*j**2*q - 5*f*j*q + 3*j*q wrt f?\nAnswer: 2*j**2*q - 2*j**2 + 43086*j*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 12\/(-6)*(-2 - -1). Suppose t + 4*t - 25 = 0. Suppose t*o = o. Solve 0*d + 2*d + i*u - 2 = o, 2*d = 3*u - 23 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 510957647?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -0.1 (b) 1\/6 (c) 6 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -3. Let j(w) = -w - 1. Let i(d) = 2*d**3 + 1. Let o = 11 - 6. Suppose o = -0*x - 5*x. Let t be i(x). Determine t*z(k) + 2*j(k).\nAnswer: -2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -2, -51756 in decreasing order.\nAnswer: -2, -5, -51756","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 289974522*z + 55140454 wrt z.\nAnswer: 289974522","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/4)\/(39585\/(-2436)).\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.442 - 1.382. Let q = -19.26 - -19. Let x = q + r. Are x and 1\/10 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/275 in 0.5, -0.1, -3, -1.57, 0.07?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-5)\/(-2)*6\/5. Let l = 7 - s. Let p = -8 - -15. Calculate the smallest common multiple of p and l.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13401102 and 3432.\nAnswer: 858","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 688.7552ng to grams.\nAnswer: 0.0000006887552","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u - 6*u = -3*u. Let g = 12 + u. Suppose 7*i = 10*i - g. Solve 4*p = 3*p - 4*h - i, 5*p - 2*h = -20 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.0283816028789 and 0.1.\nAnswer: 0.1283816028789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 3*f**4 - 263*f**3 - 628*f**2 - 180*f = 0?\nAnswer: -2, -1\/3, 0, 90","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -176.162 - -0.162. Let y = 174 + m. Which is the second smallest value? (a) -3\/8 (b) -67\/3 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 15\/23, -2107, 0.01?\nAnswer: -2107","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ulru when four letters picked without replacement from bubulrrurxbrr.\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*t + 10 = 126*t - 61*t for t.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*d + 7*d - 3*d to m*d + v and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -145\/12 and -149\/36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 45 + -29. Suppose 0 = 2*i - 22 - 40. Let d = i + 15. Calculate the remainder when d is divided by z.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -2391, -2397, -2403, -2409?\n\"Answer: -6*t - 2385","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 141*v**4 + 2*v**2 + 292*v?\nAnswer: 1692*v**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*u - 3*d = 70, -d = 3*u - 5*d - 5 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3430 and 1372?\nAnswer: 6860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -5*r + 8, 4*r = -2*k - 14 + 24. Solve 5*l - 2*s - 13 = 0, -r*s = -1 - 3 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = 5*v - 8*x - 330, -355 = -5*v - x. Calculate the lowest common multiple of 14 and (0 - (-4058)\/14) + 10\/v.\nAnswer: 2030","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 3*o - 22, -2 = -3*y - 17. Suppose 5*m + 10 = 0, -o*n - 196 = -7*n - 4*m. Let d = 139 - n. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 838085 and 16275?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -121 - 191 = -13*q. Suppose -2*j + 12 = -q. What is the greatest common factor of j and 144?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-36 - -29) + (7 - 0)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 2*h**2 + 425*h + 3. Let q(p) = 7*p. Determine q(j(m)).\nAnswer: 14*m**2 + 2975*m + 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 10, 98, 342, 820, 1610, 2790, 4438?\n\"Answer: 13*n**3 - 3*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 188*a**3 + 121*a.\nAnswer: 1128*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -4, 0.051, 58, 3 in decreasing order.\nAnswer: 58, 3, 1, 0.051, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38\/(-10) + -4*(-1)\/(-20).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 11*x - 4. Let f be a(1). Suppose -f*i = -0*i - 14. Suppose i*s - 62 = s + 3*c, -3*s - 5*c = -200. What are the prime factors of s?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 10) + -7 + (12 - -1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 9109.06 to the nearest ten.\nAnswer: 9110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mj when two letters picked without replacement from {m: 1, b: 4, j: 6}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 123.6 - 104.6. Sort n, -5, -1\/14 in increasing order.\nAnswer: -5, -1\/14, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/((-400)\/(-93284)) + 4. Let u = l - -929. Which is the biggest value? (a) u (b) -1 (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10 is divided by 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 12458921 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 95\/18 and (-4)\/(-240)*-394 + 2.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2 and 80?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/28, 2\/9, 0.2, 504, -0.1 in increasing order.\nAnswer: -0.1, 1\/28, 0.2, 2\/9, 504","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 2*y**2 + y - 4. Let j(h) = 6*h**2 + 8*h - 305. Give -8*a(q) + j(q).\nAnswer: -10*q**2 - 273","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 59795 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 + (0 - 40\/(-14)))\/(2\/6)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n = -78 + 78 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 96360?\nAnswer: 2, 3, 5, 11, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 <= -1\/83602885?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from icpmcicicmcpac. What is prob of sequence cmm?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-970)\/(-776))\/(6\/(-4)) + 535\/570?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/9, -0.5, -1.2344?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o + 4. Let a(i) = -i - 2. Let h be a(-2). Let r be v(h). Factor -7 + 4*t + 3 + 3*t**2 - r*t**2.\nAnswer: -(t - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*l**2 + 9354633 - 4677318 - 4677315.\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-6)*98*198\/8085\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -484*l**2 + 572*l - 169 = 0.\nAnswer: 13\/22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5947, 5884, 5787, 5638, 5419, 5112, 4699, 4162?\nAnswer: 3483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -63 - (3 + (-13 - -18 - 4) + -9)?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -4 - (15 + -19 + -1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -43 (b) -11 (c) 2\/17 (d) 389\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:35 AM and 6:05 AM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12 - -9. Let u = a - 20. Let b = -12 + 9. Sort -0.3, b, u in decreasing order.\nAnswer: u, -0.3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7633 + 2*a**3 + 2480 + 2618 + 2579 + a**3.\nAnswer: 3*a**3 + 44","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -32*g**3 + 2*g**2 + g. Calculate z(-1).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 - (-8)\/(-6))*4\/12. What is the biggest value in -2\/15, i, -1\/3, -5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s. Let m(b) = -54949*b. Give m(c(k)).\nAnswer: -54949*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(((2 + -1 + sqrt(272) + sqrt(272))*-4)**2 - ((sqrt(272)*2 - sqrt(272))**2*2 + ((sqrt(272)*2)**2*-2 - sqrt(272) - sqrt(272)))).\nAnswer: -38112 - 528*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - b = p + 8, -3*p = -5*b + 11. Suppose 6 = q + 3*m - 30, 0 = -4*q - 4*m + 168. Suppose q = 2*n + p*n. List the prime factors of n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d = 5*d - 576. Let r = d - 44. What is the highest common divisor of r and 44?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 8*x + 1. Suppose 6*y - 71 + 35 = 0. Let c(z) = 7*z + 1. Determine y*c(j) - 5*h(j).\nAnswer: 2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -3*n - 3. Let z be w(4). Let h be (-2045)\/z + (-2)\/6. Round h to the nearest 10.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44851123 is divided by 655.\nAnswer: 653","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the first derivative of 7*o**5\/25 + 61*o**4\/20 + 29*o**3\/5 - 41*o**2\/2 + 10*o - 12. Determine a, given that u(a) = 0.\nAnswer: -5, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -105 + 67. Let s = -33 - r. Let t(x) = -4*x**2 + 5*x. Let z(q) = -6*q**2 + 8*q. Calculate s*z(d) - 8*t(d).\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 4*n - 1296, 6*n - 20 = n. Let m be (64\/(-12))\/(-2 - k\/156). Let z = m + 219. Calculate the greatest common factor of 23 and z.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/(f*f\/((f*f\/f**(-4\/3)*f)\/f)*f))\/(f**6*f))\/(f**(-4)\/f**(1\/3)))**(-1\/6) assuming f is positive.\nAnswer: f**(2\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -254, -265, -276, -287, -298?\n\"Answer: -11*z - 243","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4669 or 4581?\nAnswer: 4581","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -156*o**2 + 12*o + 24. Let g(z) = -94*z**2 + 7*z + 14. Let r(p) = 12*g(p) - 7*y(p). Let x(u) = 8*u**2 + 2*u. Calculate x(r(b)).\nAnswer: 10368*b**4 - 72*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37087.\nAnswer: 37087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -13.585 * -0.9\nAnswer: 12.2265","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d - 1. Let m(v) = -10*v + 4. Let a(y) = m(y) + 8*x(y). Let z be a(-4). Suppose z = i + 2. Solve 4*l - i*l + 4*j = 12, -3*j + 9 = -4*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10.35 - 12.35. Which is the second smallest value? (a) -159 (b) p (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes after 8:43 PM?\nAnswer: 1:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 - 0. Let h = -589.8 + 13.8. Let k = -581 - h. What is the closest to -1 in y, -3, k?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*m + 5*v + 105 = 0, 3*m - 11390 = -2*v - 11427 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 445 - 7. Suppose 4*z = 5*q + 4327, 1657 + 507 = 2*z - 2*q. Suppose -4*w - h = 2*d - 4*d, -5*d = 2*w - z. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 34*w**2 - 227*w - 686. What is y(-3)?\nAnswer: 301","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*m - 18*m + 56*m)*(-m - 2 + 2) - m**2 - 2 + 2.\nAnswer: -28*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2068 - 1173 - 349)*(-3*d + 2*d - d)*(6 - 6 + 9).\nAnswer: -9828*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 6 = -8*u. Let i(l) = -2*l - 1. Let j be i(u). Suppose -42 = j*a - 6*a. Is 8 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -696568 (base 10) to base 3\nAnswer: -1022101111211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/(-18)*-3)\/((-9)\/4)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 38\/(-171) - (-6)\/27. Suppose -1425 = -4*h - 5*b, -4*b = -g*b + 12. Is 31 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 124130 to the nearest integer?\nAnswer: 352","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95*w - 635870 = -37*w - 59030. Which is greater: -1 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 + -9 + 25 + 43 + 0 + -3?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1766*r + 45 = 1825*r - 663 for r.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6720 and 5371296.\nAnswer: 53712960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 4*q + 7. Let r be x(-3). Sort 2, r, 2\/21 in decreasing order.\nAnswer: 2, 2\/21, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 806 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 25704636961 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 4, o: 2, c: 3, v: 2}. Give prob of picking 1 e and 2 v.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 41114.978 less than -90?\nAnswer: -41204.978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2647361 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -289, -285, -279, -271, -261, -249, -235?\n\"Answer: x**2 + x - 291","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -562*h = -518*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is c + -16?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**2 - 12*r - 24. Let k be t(-8). Suppose -2*j - 10 = 4*b, 0 = 5*j + 2*b + 3*b + 10. Suppose -3*q - j + 16 = 0. Solve -g = -q*g + k for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/((-10)\/(-4) - -1). Let -y + 8\/7*x**2 + 2*x - 4\/7*x**4 - 4*x**3 + 2*x**5 = 0. Calculate x.\nAnswer: -1, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 201182611738.2 plus 0.6?\nAnswer: 201182611738.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 48 and 47860.\nAnswer: 574320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/14 in -1\/4, 0.2, 0.12?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 2\/5 (b) -0.052 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**3 - 10*a**2 - 14*a + 19. Let r = -29 + 21. Let s be t(r). Differentiate -4*q**3 - 8*q**s + 9*q**3 - 5 with respect to q.\nAnswer: -9*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/((-1944)\/66)*966\/(-506)?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -219 * -0.5\nAnswer: 109.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 149859520 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -49 + -193. Let g = h - -375. Is 1\/2 <= g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/60*1\/(-1).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1680?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eaw when three letters picked without replacement from {w: 3, e: 2, h: 6, a: 2, o: 2, j: 3}?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*a**5*y - 44*a**4*y - a**3 + a + 126*y wrt a?\nAnswer: -40*a**3*y - 528*a**2*y - 6*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*z - s + 32 = 8*z, 2*z = s - 14 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1664*z = 3974*z - 27720 for z.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 21891427 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 213746362 to the power of 1\/7, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 8\/30*4\/(-56)*-1. Let z = n - 41\/315. Let a = -2.7 + 3. What is the third biggest value in a, 3\/5, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1237*g + 5519*g - 17272 = 6623 - 6767 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -4929408.23144 and 63?\nAnswer: 4929471.23144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u\/(u*u**2*u)*u**(-3\/8)*(u**(-8\/3)\/u)**(-14))**21 assuming u is positive.\nAnswer: u**(8225\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.581989435 and -0.3.\nAnswer: 0.281989435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -13*b**2 - 3*b - 10. Let q(c) = 6*c**2 + 2*c + 5. Let x(z) = 3*i(z) + 7*q(z). Let r(v) = -v**2 + v - 1. Let g(h) = -2*r(h) - 2*x(h). Factor g(m).\nAnswer: -4*(m + 1)*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.3 - -51.3. Let p = -40.1 + d. What is p rounded to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8\/(-12) + (-20)\/6. Let j(n) = -2*n + 3. Let c(u) = -3*u + 7. Let r(v) = g*c(v) + 9*j(v). What is the units digit of r(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-6)\/(-4))\/(13\/52). Suppose 3*y + 1867 = 4*k, -g*k - 928 = -8*k - 4*y. Calculate the remainder when k is divided by 78.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -113755000 to the nearest 1000000.\nAnswer: -114000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 360 divided by 6.\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-112 - -63 - 30) + 24.\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/24)\/(((-4)\/3)\/4).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4496984 (base 10) to base 5\nAnswer: 2122400414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, l: 2, h: 1, a: 10}. What is prob of picking 1 q and 1 a?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -76 - -534\/7. Solve -2\/7*b**2 - o*b + 0 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/216971, -2\/19, -124 in decreasing order.\nAnswer: -1\/216971, -2\/19, -124","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -2*c + 271. Let b(i) = -39*i**2. Give a(b(d)).\nAnswer: 78*d**2 + 271","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1523258 is divided by 249?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17b58 (base 14) to base 15.\nAnswer: 12b08","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 406 and 9963.\nAnswer: 4044978","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 v when four letters picked without replacement from {k: 4, v: 7}?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1137 + 1141. Let f be 1*3 + -4 + 3. Suppose 3*s - g*o - 15 = 0, s + f*o - 5 = 3*o. Put s, 4, -3, 3 in descending order.\nAnswer: s, 4, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5753*b - 11328 = 5281*b for b.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-1\/10)\/y)\/y**18)**(2\/61) assuming y is positive.\nAnswer: y**(-191\/305)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 539747 greater than or equal to 539747?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1259 - 897 = 196*i for i.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the third derivative of -19*p**5\/60 + 13*p**3\/3 + 5*p**2. What is the derivative of x(k) wrt k?\nAnswer: -38*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**2 - 17*m + 7. Let d be p(3). Which is greater: d or -362\/7?\nAnswer: -362\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t. What is g(5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 30023, 30278, 30535, 30794?\n\"Answer: l**2 + 252*l + 29770","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-10)\/(-25) + 3086\/10. Suppose -x = 4*f - 197, 0 = 2*x - 2*f - 45 - d. Suppose -5*r = -3*a - 301, -3*r + a = -a - x. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 - 5. Let a(c) = -6*c**2 + 4*c - 9. Let r(n) = 3*n**2 - 2*n + 4. Let h(t) = i*a(t) - 7*r(t). Let q be (-14)\/(-18) + ((-4)\/9)\/(-2). Calculate h(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 r, and 1 o when three letters picked without replacement from {n: 2, o: 1, r: 1}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 715521933?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 1\/5, -4, 0, -2397, -0.1, 15\/7?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**2 + l + 3. Let h be f(2). List the prime factors of (-50)\/(-1) + h + -5.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/8*14 - 1\/(-1). Suppose o*n - 112 = -8. What is the units digit of 173 + n + -3 + 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2759 - 2767. Let x(y) = y**2 - y - 6. Give x(g).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 329\/3 + -2315\/21. Let k = -8 + 6. Are s and k nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 0.6 (b) 0 (c) 41.22 (d) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -6*a**2 + 88*a - 17. What is r(15)?\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-1\/2))**5\/(c*c\/(((c\/(c\/(c\/(c*c**(-2\/5)))*c))\/c)\/c*c*c))**(-15))\/(c**(-1)\/(c*c**(-2\/11)*c)*c**(-7)\/((c*c**9*c)\/c)) assuming c is positive.\nAnswer: c**(1239\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 119 is divided by 25?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = -5*q + 2*f, 4*f + 40 = q + 10. Let v = q - 7. Solve -3 = -h + 1, -5*h = -v*b - 5 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 191\/28080 and -95\/156.\nAnswer: 28080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-4)*(-96)\/(-2496)*-4\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = 3*o - 451, u + 472 = 6*u - 4*o. What is the remainder when 273 is divided by u?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 46\/8 - (17\/(-4) - -4). Let c(o) = 2*o**2 - 15*o + 5 + 2 + u + 33*o. Is c(-12) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-three fifths of a hour in seconds?\nAnswer: 23760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63 - n + 23 + 91 + 2*n.\nAnswer: n + 51","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -3*b**2 - 1658541*b - 1658538 = 0.\nAnswer: -552846, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 37*k**2 - 26. Let o(b) = -10*b**2 + 7. Let t(f) = -22*o(f) - 6*x(f). Let j(d) be the first derivative of -2*d**3\/3 - 2. What is t(j(l))?\nAnswer: -8*l**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 - 3)*(7*b**5 - 8*b**5 + 9*b**5 + (-1 + 2*b + 1)*(-b**4 - 4*b**3 + 4*b**3)).\nAnswer: -12*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*o + 27*o - 6*o)*(1 - 1382*o**2 + 1384*o**2 - o - 3) as a*o**2 + t*o**3 + f + w*o and give t.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 14) to base 10\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the first derivative of -100*q**2 - 39*q + 16. Is z(-7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12 - 4. Let z = -273\/110 + 37\/22. Let d = -102 + 105. Sort d, s, z in descending order.\nAnswer: s, d, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3721\/944 + 1\/236. Let j = 16094\/11 - 159939\/110. What is the common denominator of j and i?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 6, b: 1, q: 2, v: 3}. Give prob of picking 1 q and 1 b.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 3*z - 2*z = -358, -2*z + 537 = 3*x. Find the first derivative of 125*h**3 - 38*h**3 - x + 138 wrt h.\nAnswer: 261*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -20 - 4. Let s = -6 - u. Which is smaller: -0.1 or s?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jwjjwjjjjjj. What is prob of picking 3 j and 1 w?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 2*x = 63. What is the units digit of 1\/1*(x + 134)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/(-8) - (-11)\/(-10). Let h = -0.12 - 0.88. Suppose 0 = 4*g + 5*v - 22, -2*v + 11 = -2*g + 13. Which is the closest to -2\/7? (a) p (b) g (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -19 in 0.2, -2, 1, -2\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r**2 - 5*r**2 + 3*r**2)*(9*r**2 + 12*r**2 + 28*r**2).\nAnswer: -98*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 78779 (base 10) to base 13.\nAnswer: 29b1c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 6 = -3*t. Let n = 1 + t. Is 52 + n + 0 + 2 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 + -32?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 40.89 + -41. What is the closest to 2 in -2\/3, f, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10072*b + 3*b**2 + 5*b**2 - 4894*b + 4*b**2 - 5178*b.\nAnswer: 12*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 29048 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 3 = 4*d - d, 0 = -d + 4*s - 9. Suppose -o = 3*o + 2*c - 2, 0 = d*o + 2*c. Solve -5*a = -4*i - 0*a - 7, -o = 2*a for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 23849 and 4984441.\nAnswer: 4984441","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4\/7 - 30\/77. What is the closest to -0.1 in z, -6, 4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -17 - -9. Let c(a) = -a. Calculate the lowest common multiple of c(p) and 4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 65726 - 32865 - 32861 + 7228926*p**2 - 7228927*p**2.\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the second derivative of -a**4\/3 - a. Let g(j) = 12*j**2. What is o(g(p))?\nAnswer: -576*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/17 + 1188\/(-2618)\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes before 5:29 PM?\nAnswer: 12:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 21*b**2 - 8*b - 5. Let j(f) = f**2 + 2*f + 1. Calculate -6*j(p) - o(p).\nAnswer: -27*p**2 - 4*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 6, 0, -8, 2 in decreasing order.\nAnswer: 6, 2, 0, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the third derivative of -1\/16*o**4 - 6*o**2 + 1\/4*o**3 + 0*o + 1\/80*o**6 - 1\/40*o**5 + 0. Factor k(i).\nAnswer: 3*(i - 1)**2*(i + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5925716239 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.9302 less than 0.049382?\nAnswer: -11.880818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f = -8*f - 2. Let d be (-4)\/16 - f\/4. Suppose 3*k + d*k = 27. List the prime factors of k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 3*t - 50 = -t, -3*t + 28 = c. Suppose 25 = 5*s + 5*m, -4*s - 6*m = -3*m - 21. What is the smallest common multiple of c and s?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12657381 and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 - 3. Let t = -54 - -129. Suppose -b*a = h - 83, 2*a - t = -a - 3*h. What are the prime factors of a?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/2 + 3\/(-2). Let j = -6 - -4. Let t be (-24)\/14 - (-1 - 1). What is the nearest to j in a, -1, t?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8677 - 6618. Calculate the greatest common divisor of a and 213.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*i**4 + i**3 - i**2 + 0*i**3 + 13*i**4 - 5*i + 0*i**2 to o + b*i**2 + v*i + t*i**3 + w*i**4 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 445*r. Let w(i) = 18*i. Determine w(y(f)).\nAnswer: 8010*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -69*h**2 + 154*h**2 - 140 + 23*h**2 + 14 + 101*h**2 wrt h?\nAnswer: 418*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -89, -181, -273, -365, -457?\n\"Answer: -92*v + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 + -10. Suppose f - 6 - 15 = 0. What is the remainder when f is divided by (-30)\/9*18\/w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**2. Let z(x) = 772*x + 657. Let j(g) = 193*g + 175. Let t(n) = 15*j(n) - 4*z(n). Calculate t(i(b)).\nAnswer: -193*b**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15 + -11. Suppose -3*t - t + 4 = d*b, -4*t - 1 = -b. What are the prime factors of -2 - 3*-2*b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71 - 118 = -9*z. What is y in 6*y**3 + 27 - 12 - 3*y**4 + 3*y - 12*y**2 + 12*y**3 - z*y = 0?\nAnswer: -1, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -318440 divided by -190.\nAnswer: 1676","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*a - 60 = 4*z + 6*a, 4*a = 2*z + 30. Let p(t) = 2*t**3 - 7*t**2 + 2*t - 7. Let f be p(6). Let m = z + f. Does 15 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -275 + 387. Is i a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 2*l**2 - 3*l - 5. Let y be n(-2). Suppose 0 = -y*k + 7*k + 6. Let v = 3 - k. Does v = -1\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -5*k**2 - 8*k - 6. Let f(z) = -16*z - 28. Let y be f(-2). Let s(c) = 4*c**2 + 8*c + 6. Let x(r) = y*s(r) + 3*v(r). Determine x(-5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**3 - 9*t**2 - 6*t - 6. Suppose 0 = 4*s - 76 - 52. Let u = 23 - s. Is l(u) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -111000101001011 (base 2) in base 15?\nAnswer: -88d8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -15471695 >= -15471706?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 30*q**2 + 115829211*q - 34748766 = 0?\nAnswer: -3860974, 3\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 5*5681093\nAnswer: 28405465","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-8)\/(-144)*148 - 4\/18. Suppose 24 = -4*w + f*w. Solve 0 = i + i - w for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-33)\/22 + -1*86\/(-36).\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 2*b**2 - 217*b + 4361. Give h(82).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4, 13785, 0, -42, -3 in descending order.\nAnswer: 13785, 4, 1, 0, -3, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1\/20)\/((-13)\/(-26)). Which is the nearest to v? (a) -0.4 (b) 5\/4 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (164285\/3740 + -44)*-4?\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 2*q + 1. Suppose -p + 4*w = -6, 7 = p - 2*w - 1. Let f = p + -14. Determine k(f).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 >= -2\/458605?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 54 + -10890?\nAnswer: -10836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 + (-6)\/3 + (-6)\/2. Let r = k + 13. Which is smaller: 7 or r?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -2*q**3 + 2*q**2 - 5*q + 10. Calculate v(0).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 977319735 to the power of 1\/2, to the nearest integer?\nAnswer: 31262","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1171350.\nAnswer: 2, 3, 5, 19, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 3369*f**2 - 9*f - 9. Is b(-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*v - 165*v + 2076 for v.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*y**4 + 6*y**3 - 8*y**2 + 327*y - 109514 wrt y.\nAnswer: -8*y**3 + 18*y**2 - 16*y + 327","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -7, 2, 0.63?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.09 - 3.91. Let r = 3.5 + n. What is the second smallest value in -0.2, -2, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**2 + 5*b + 15. Let q be k(7). Let s(v) = 11*v - 1. What is s(q)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9120558193 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 12*b**2. Let i(o) be the first derivative of 177*o**3 + 172*o**3 + 17 - 350*o**3. What is i(t(d))?\nAnswer: -432*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*d**2\/7 - 206968*d - 28976320\/7 = 0. Calculate d.\nAnswer: -20, 724408","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*y**2 + y**2 - y**2 - 5*y**2.\nAnswer: -8*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in r**2 + 3*r**2 - 5*r**2 - r**2.\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6820, -6798, -6742, -6634, -6456, -6190, -5818?\nAnswer: -5322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 2*t = -22, 5*j - 5*t + 0*t - 50 = 0. Suppose j*b + 2*b = 0. Solve -o = 4 - b for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -5408942\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 334 and 84836.\nAnswer: 334","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 13) in base 11?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 109598 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**2 + 8*t - 18. Let r be m(-10). Let o be (6 - (0 - 9)) + r*-2. What is the greatest common factor of o and 649?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ltbqrwt. Give prob of picking 1 b and 1 q.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 27 - 118 - 13*w**2 - 68 - 38 + 12 to the form u + t*w**2 + q*w and give u.\nAnswer: -185","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -78*z + 10 - 78*z - z**3 + 150*z to the form y*z**3 + h*z**2 + m*z + s and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 7340 bigger than 7344?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*l**4 + 5*l - 5*l - 2*l**4 + 0*l**4 + 3*l**4 + l**4 - 2*l**4 + 3*l**4 + (-2 + 5 - 1)*(-2*l**4 - 2*l**4 + 5*l**4).\nAnswer: 8*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -84*v. Let i(a) = -4164*a - 6752. Let n(c) = -i(c) - 12*s(c). Differentiate n(p) wrt p.\nAnswer: 5172","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 - 5.9. Let n = 0 - x. Let m = -1.1 - n. Which is the smallest value? (a) m (b) 1\/4 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15610967 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 at least as big as -4\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12 + -6. Suppose n - 11 = -2*w, -d*w + w + 2*n = -5. Suppose 6 = 4*a - w*a. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 13914.318177 to the nearest integer.\nAnswer: 13914","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4204 and 4504586.\nAnswer: 2102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-14)*j*j**(-30)*j**(-32)\/j**37)**(3\/22) assuming j is positive.\nAnswer: j**(-168\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18990780 to the nearest integer?\nAnswer: 4358","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 437, 872, 1315, 1772, 2249, 2752?\nAnswer: 3287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 5*d**2 + 5*d + 4. Let g be 6 - 330\/77 - (-2)\/7. Let x(w) = -37 - 21 - 4*w**g + 55 - 4*w. Calculate 3*j(p) + 4*x(p).\nAnswer: -p**2 - p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 80.13 (b) -3 (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -731 by 43.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -2*q**2 - 11*q - 7. Let l be w(-4). Let d be l\/6*(-18)\/(-10). Which is the smallest value? (a) 1\/5 (b) 0.4 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - -7 - (-44)\/((-88)\/8).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.39079um in nanometers?\nAnswer: 17390.79","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 0.1, 17, -251 in ascending order.\nAnswer: -251, 0.1, 0.3, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0559091t in kilograms?\nAnswer: 55.9091","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, j: 4, b: 1, f: 1, y: 1}. What is prob of sequence lyj?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 122.51 + -122. Let m = -0.01 + i. What is the biggest value in -4, m, -0.3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 169555 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1445 to the power of 1\/2, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (1408\/4620 + 8\/30)\/((-66)\/7)?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-3\/10)*u**9\/u*(u\/u**(-1\/3))**(4\/11))**38 assuming u is positive.\nAnswer: u**(51319\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 53*o - 431 - 24 - 22. Suppose 2*r = -r + 18. Let q(h) = h - 1. Let b be q(r). Solve 0 = -b*l + 1 + o for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/((-6)\/(-2)*7*(-33)\/4851)\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -8\/81, -4, -1, -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00010558 to 5 decimal places.\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0055602674 rounded to six dps?\nAnswer: -0.00556","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 - (-65)\/(-3)) + 11?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -2*t + 2*x + 2*x, 3*t + 5*x + 19 = 0. Solve -2*h + 4*h = -t for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jaddtattadd. What is prob of picking 1 t and 1 j?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 75110, 72336, 69562, 66788, 64014, 61240?\nAnswer: 58466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*n - 4*n = -30 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -0.5, 3, -20\/7, -0.073 in decreasing order.\nAnswer: 5, 3, -0.073, -0.5, -20\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -891439, -891436, -891431, -891424, -891415?\n\"Answer: w**2 - 891440","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fz when two letters picked without replacement from {r: 1, k: 1, z: 1, f: 1, b: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 580809588?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/((m*m**3*m)\/m)*m)**(3\/34)*m\/m**(-10)*m*m*m**(6\/5) assuming m is positive.\nAnswer: m**(1192\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n**4\/4 + 2705*n**3\/4 - 323475*n**2\/4 - 11777625*n\/4 = 0.\nAnswer: -29, 0, 285","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the second derivative of m**5\/120 + m**4\/24 + m**3\/12 + m**2\/12 + 7*m. Determine a, given that y(a) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 7*w - 2*w**2 + 5*w**2 + 0*w**2. Let r(o) = -o**2 - 3*o. Let s = -454 + 456. Suppose 0*n = -d + 3*n + 3, 0 = -4*d + 5*n - s. Give d*f(i) - 7*r(i).\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**3 + 6*b**2 + b - 2. Let s be g(-6). Calculate the remainder when -3*(-10)\/(-12)*92\/(-10) is divided by (-62)\/s - (-1)\/4.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 19 = 3*n, g + 0 - 61 = 5*n. Let q(w) = -3*w - 30. Let a be q(n). Find the second derivative of -283*b**3 + 289*b**3 + a*b - 3*b wrt b.\nAnswer: 36*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.01 - -16.99. Let z = -12.7 + c. Let o = -4 + z. Is o smaller than 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 312 = 2*a - 236. Is a 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 -6366, -6376, -6408, -6474, -6586, -6756?\nAnswer: -6996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -303612920 by -10334.\nAnswer: 29380","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -759*g - 10645. Give t(-14).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -16 + -60?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/h**24)\/(h*h*h*h\/(h**22*h)*h))\/(h*h**(-3\/26)*h**(-24)))**40 assuming h is positive.\nAnswer: h**(9420\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*-5*((-5 + (sqrt(396)*2 + -3 - sqrt(396)) - (4 + -1*sqrt(396) + sqrt(396) - (-1 + sqrt(396))*5))*5)**2.\nAnswer: -7272500 + 612000*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 315151.\nAnswer: 83, 3797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2249 - 1140 - 1141 = 16*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (100\/(-16) - -5)*(-8)\/(-40).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -95 - -90. Which is the third biggest value? (a) j (b) -2 (c) 1\/32\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**2 - 2*g + 6. Let k = 282 + -258. Calculate the remainder when k is divided by a(4).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.011 and -2379.\nAnswer: -2379.011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*f + 4*f + f**4)*(1 - 4 + 1) - 2*f**4 - f**4 - 3*f**4 + 8044*f**2 - 423*f**4 - 8044*f**2.\nAnswer: -431*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0, -36, -5, 2137, 18.\nAnswer: -36, -5, -1, 0, 18, 2137","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 - 11)*(-9121 + 1394*r + 9121).\nAnswer: -19516*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1100 (base 4) to base 6\nAnswer: -212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -81\/236 and -121\/18.\nAnswer: 2124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 39 - 79. Let v = 43 + b. What is the nearest to 1 in 3\/5, v, 4?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/2 (b) 301 (c) -1\/4 (d) 1.5 (e) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 539021, 1078031, 1617029, 2156015, 2694989, 3233951?\nAnswer: 3772901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -310112 or -310111?\nAnswer: -310112","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 38658178*y**2 + 13795758*y wrt y.\nAnswer: 77316356","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-45)\/35)\/((396\/(-3465))\/(4\/(-6))).\nAnswer: -15\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 198 + 2577. Is p a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*c - 2*p - 8, -15*c + 10*c = 3*p + 11 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(396)*2 + -3 + ((-1*sqrt(396) - sqrt(396))*3 - sqrt(396)))**2.\nAnswer: 120*sqrt(11) + 9904","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 582 + -575. Let f(l) = 22*l - 116. Let q be f(g). Solve -33*j = -q*j + 25 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(245) - 5*(sqrt(245) + 0))**2.\nAnswer: 3920","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 4, x: 3, v: 1, o: 2, i: 2}. Give prob of picking 2 x, 1 i, and 1 o.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-124)\/20)\/(27\/(-105)*378\/162).\nAnswer: 31\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 339\/(-384) - (-2)\/4. Let u = 1\/128 + k. Are -1 and u nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1859969 is divided by 961.\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a micrometer in nanometers?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2244 or -2238?\nAnswer: -2244","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -x - 21*x**2 + x**2 + 2 - 4*x**2 + 3*x**2 to u*x**2 + z + b*x and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*d + 0 + 110\/3*d**2 + 2\/3*d**4 + 38\/3*d**3 = 0.\nAnswer: -15, -5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 4*x**2. Let d(z) = -5*z**2 + 1. Suppose 4*r - 3 = -c, -c + 9 = 2*c + r. Suppose -c = -0*m + m. Give m*t(b) - 2*d(b).\nAnswer: -2*b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 60*f - 1909. Give k(31).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 95*r = 98*r - 30306, 30318 = 2*n + r. List the prime factors of n.\nAnswer: 2, 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -0.2, 557 in increasing order.\nAnswer: -0.2, 3, 557","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 37247497, 74495005, 111742515, 148990027, 186237541?\n\"Answer: z**2 + 37247505*z - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 33 = -y + 112, 2*y - 158 = -3*x. Suppose 21 + y = 4*r. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*g - 4*g - 4*g)*((2 + g**2 - 2)*(3 - 3 + 2) + 0*g**2 - g**2 + 2*g**2 + g**2 + g**2 - g**2 + 2 - g**2 - 2).\nAnswer: -36*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-5))\/(3\/(135\/36))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2437 - -4800. Suppose c = -2*i + 1171, 5*c = 7*i - 3*i - m. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -c + 16, 0 = 3*c + 2*c + 4*x - 81. Suppose -c = 3*j + 13. Is 6\/j - 836\/(-10) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 206*f + 52*f - 32*f + 228*f - 69*f to the form i*f + u and give i.\nAnswer: 385","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from jpjxpjjxxpppjxjj?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 4*l = 16, l + l = -5*n - 8. Suppose 3*b + 0 = 21. Suppose -2*t = -b*t. Is n at least t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.5 and 550524327.0414?\nAnswer: 550524326.5414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/11 in 5, -62, 4, -2763?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*t - 2*t + 3*t)*((1 + 2 + 0)*(13 - 2 + 13) - 4 + 4 + 1).\nAnswer: -219*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 738\/(-4100)*25 + (-2 - 19\/(-4)).\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + -9. Is (-3)\/q - (-1446)\/9 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -8\/291521 and -67\/26?\nAnswer: 7579546","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -35 + 106. List the prime factors of i.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -43521 divided by 163?\nAnswer: -267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 + -11. Let w = 10 + n. Let d be -3*(-1)\/((-9)\/6). What is the closest to d in w, -2, 1\/2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 + (-27 - -6) + 12 + 30.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*i**2 + 42908*i + 1283640.\nAnswer: 4*(i + 30)*(i + 10697)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c + 18 + 10. Suppose -o - 2*s + 19 = 0, 2*s - c = 3*o - 47. Is o a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 14*b**2. Let i = 83 + -95. Let y(w) = w**2. Let c be ((-7)\/21)\/(-1*(-1)\/(-3)). Give c*r(t) + i*y(t).\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:39 AM and 4:44 PM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -42578 greater than or equal to -42566?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -3 (b) 11\/6 (c) -4 (d) -2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*d**3 - 2456739*d**2 + 503038798344*d - 30676225854108 = 0. Calculate d.\nAnswer: 61, 409426","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 121*i = -120*i + 2390 + 2189 for i.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 111034?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -26 + 46 + -15 - (76253 - 2). What is r rounded to the nearest one thousand?\nAnswer: -76000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53332.\nAnswer: 2, 67, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -18, -32, -44, -54, -62, -68, -72?\n\"Answer: j**2 - 17*j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (1 + -4 + sqrt(11) + -1 - (4 + sqrt(396) + -1 + sqrt(396))**2) + -1.\nAnswer: -1600 - 71*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 57\/(-513)*(-231)\/22?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3*4\/(-8))\/((-24)\/2560*-5).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 equal to 2\/245?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27 = -4*j - 4*q + 5, -2*q - 110 = -4*j - 108 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1344 and 215628.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1410 and 7755?\nAnswer: 15510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 3*h**2 - 5*h. Let y(u) = -u**2 + 2*u. Suppose j = 22 - 4. Suppose -j = 3*i - 0*i. Give i*v(z) - 15*y(z).\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -6.39 * 0.017\nAnswer: -0.10863","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -42, -5, 3, 5 in descending order.\nAnswer: 5, 3, -1, -5, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(-3) - 870\/(-45). Suppose -l = -5*h + 1. Suppose -3*d = 3*t - 312, -h*d + 5*t + 657 = 196. Is d a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -702.74 + 710. Let w = 5.9 - x. Let b = -0.4 - w. Round b to one dp.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = s + 1. Let p be s\/(-1) - (-137 - -1). Suppose 0 = x - 5*j - p, -x = -3*x + 2*j + 308. What is the remainder when x is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3324, -3072, -2822, -2574, -2328, -2084?\nAnswer: -1842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/11004 or -1?\nAnswer: 1\/11004","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1634526 (base 7) to base 12.\nAnswer: -ab683","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the first derivative of w**3\/3 - 5*w**2\/2 + 5*w - 3. Let x be c(2). Which is bigger: x or -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 584?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the first derivative of -l**5\/4 + l**4\/6 + l**3\/3 + l**2\/2 - 3*l + 3. Let w(q) be the first derivative of u(q). Give w(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11524 - -11524. Let k(r) be the second derivative of 2*r + 0*r**3 + n*r**4 + 0 + 9\/4*r**5 + 0*r**2. Let p(c) = -5*c**3. Give 6*k(z) + 55*p(z).\nAnswer: -5*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*m + 17*m + 35*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -947, -4, -11.\nAnswer: -947, -11, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -53*n - 26*n + 316. Solve -n*h + 2*c + 78 - 54 = 0, -c = 3*h - 8 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*v**3 - 50314680*v**2 + 100629345*v - 50314670.\nAnswer: 5*(v - 10062934)*(v - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**5\/6 + 11*f**4\/3 + 23*f**3\/6.\nAnswer: -f**3*(f - 23)*(f + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1099 in -0.3, 5, 5\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 - -11. Let s = f + -6.000002. What is s rounded to 6 decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -138017700 or -138017696?\nAnswer: -138017696","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2\/4 - 1)*(2 - 20). Let i be j\/(-3) - 9*-4189 - -2. What is i rounded to the nearest 1000?\nAnswer: 38000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -121 (base 9) in base 5?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20836*s = -19959*s + 53497 for s.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 27\/7 - 4. What is the second smallest value in 1\/4, q, 1.33?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the first derivative of -2*u**3\/3 + 477. Let z(t) = 2*t**2 + 494. Give z(h(m)).\nAnswer: 8*m**4 + 494","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*m - 16. List the prime factors of m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 233420998?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -9*d**3 - 2*d + 2. Let s(n) = n**3 + 6*n**2 - 2*n + 5. Let q be s(-6). Suppose -14 + 7 = 5*j + 2*g, -j - 5*g = -q. Is z(j) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -9*l**3 + 10*l**2 - 2*l + 3. Let y(f) = 5*f**3 - 5*f**2 + f - 2. Let m(x) = -6*b(x) - 11*y(x). Determine m(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2*r + 3)*(-3*r**2 - 3089 + 3*r**3 + 6896 + 385).\nAnswer: 6*r**4 - 6*r**3 + 8384*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 4*p - 4. Let d be m(-2). Let x be (2 - (-26)\/d) + (-1156)\/(-24). Sort -2, -1, x in decreasing order.\nAnswer: x, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/42 - (-16)\/56.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1060951130*f + 203972749 wrt f.\nAnswer: -1060951130","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -68 - -68.31. Let w = 3.69 + h. Which is the second biggest value? (a) w (b) 5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 11, 0, -1, 4, 32 in increasing order.\nAnswer: -1, 0, 3, 4, 11, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 2*t = -5*f + 35, -3*f - 11 = -4*t. Is 0\/(t - 4) - -467 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 2*l + 4 + 4 = 0, -2 = -l. Let j = b - 0. Suppose 2*w - 9 = j. What is the third biggest value in w, -0.4, 4\/7?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/2 of a meter in millimeters?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*m + 12 = -5*s, -1433*s - 4*m - 6 = -1431*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -0*l - 6*l. Put 1, 5, l in decreasing order.\nAnswer: 5, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -104*p + 13341. Calculate h(128).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 328 and 155152?\nAnswer: 6361232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -39809711 + 91029333. Suppose 0 = -7*i + 33480378 + k. Round i to the nearest one million.\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7\/3? (a) -1\/6 (b) 0.2 (c) 210.1 (d) 6 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 254 - 254. Suppose 12*m - 11*m - 3 = w. Solve 5*j = -18 + m for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 64*d - 58*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000006345 to 6 dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (5 + 3*sqrt(1300) - (sqrt(1300) + -4*sqrt(1300))*-6) + -2)**2.\nAnswer: 600*sqrt(13) + 292504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the first derivative of -23 - 1\/2*o**2 - 4*o - 1\/3*o**3. What is a(0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (3 + (-4 - -7) - (5 - 2)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/6*((-513)\/(-38) - 12). Let i = 0 + 2. Suppose 8 = -2*p - i*p. Which is the smallest value? (a) p (b) s (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0389 and 0.3.\nAnswer: 0.01167","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiam. What is prob of picking 2 m?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a micrometer in nanometers?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j**4\/3 - 80*j**3\/3 - 32*j**2 + 17920*j\/3 + 100352\/3 = 0 for j.\nAnswer: -8, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -4780*f - 9446. Calculate s(-2).\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -241023240 + 303?\nAnswer: -241022432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 5*0.0373\nAnswer: 0.1865","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 7) in base 2?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -3*v + 10, 4 = -g - 3*g. Suppose u = b + 3*u - 12, -3*b = -u - 1. Find the second derivative of -16*h - 15*h**2 - 6*h**b - 4*h**v wrt h.\nAnswer: -50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3521*r + 6*v = 3515*r + 210, 3*r - v = 85 for r.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22 + -24 - (0 - 3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1091 - 4337\/4. Find the common denominator of (-66)\/20 + (-9)\/(-6) and v.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.715, -3\/5, 4, -1, 1125 in decreasing order.\nAnswer: 1125, 4, 1.715, -3\/5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -143*r + 23*r + 7*r**3 - 10*r**3.\nAnswer: -3*r**3 - 120*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a - 2. Let g(x) = 3*x + 4. What is -3*g(u) - 5*p(u)?\nAnswer: -4*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -20*w + 20*w + 73*w**2 in the form m*w + o + y*w**2 and give y.\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:24 PM and 8:37 PM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**3 + 406*u**2 - 64*u + 414. Let g(j) = -31*j**2 + 5*j - 32. Let r(b) = 27*g(b) + 2*i(b). Give r(-13).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -29661254, -29661263, -29661274, -29661287?\nAnswer: -29661302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 2287 = -3083. Let i = -1064 - n. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**3 - z**2 - 3*z - 4. Let g be w(-5). Let l = g - 221. Does 14 divide l\/(-8) + 2\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -22823*y**4 - 13*y**3 - 722*y**2 + 2*y + 180?\nAnswer: -547752*y - 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 52782878*q**6 + q**2 - 7726774.\nAnswer: 6333945360*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -150*b*j**3 + 480*b*j**2 + 2*b*p + 7*j**3*p + 199766*j*p wrt j?\nAnswer: -900*b*j + 960*b + 42*j*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 46*w + 15*w**5 - 53*w - 7*w**5 wrt w?\nAnswer: 160*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -425*i**3 + 2*i**2 - 289. Let l(g) = -427*g**3 + 3*g**2 - 290. Let n(u) = 3*a(u) - 2*l(u). Differentiate n(p) wrt p.\nAnswer: -1263*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -76\/584661 and -51\/3631985.\nAnswer: 119855505","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1220566.\nAnswer: 2, 17, 35899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 831962317 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13 + 20 - 111 + (-7 + 8 - 7)*(2 + 1 - 2))*(p**4 + 3*p - 3*p + (2*p - 2*p + 2*p**4)*(3 - 2 - 7)).\nAnswer: 1210*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13\/3 - 41\/9. Let w be (-50)\/580*66\/(-10). Let c = w - 2\/29. What is the closest to c in 0.5, -3, f?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -507*q + 19008 = 285*q for q.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -838.01 + -1\nAnswer: -839.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -2*g - 5. Let h be l(-4). Let b be h + 1 + -293 + -3. Let c = b + 629. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1283507, -1283489, -1283463, -1283429, -1283387, -1283337?\n\"Answer: 4*p**2 + 6*p - 1283517","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 596, 582, 554, 506, 432, 326?\nAnswer: 182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the second derivative of -1\/3*k**3 + 13 - k + 7\/2*k**2. Determine s(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -343.1 - -338.1. Which is the third smallest value? (a) t (b) 125 (c) 0.4 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-7)\/(r**(-1\/4)\/r))\/((r*r\/(r**(-1)\/r))\/(r**(1\/3)\/r)) assuming r is positive.\nAnswer: r**(-125\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -0*g. Let m(k) be the first derivative of -k**5\/20 - k**3\/6 + 2*k**2 + 2*k + 2. Let a(t) be the first derivative of m(t). Give a(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18*(-30)\/(-315))\/(-4)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*f - 48 = 4*f. Let j = 3 + 0. Solve -4*x = -x + j*p + 15, 5*x + 17 = -f*p for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 + 6. Let r be 0\/(-1) - (-3 - u). Suppose 18 = r*g - 30. Calculate the highest common divisor of g and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -2041*i + 2493. Give t(1).\nAnswer: 452","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the first derivative of -4 + 0*o**3 + 0*o**2 + 7\/4*o**4 - 17*o. Differentiate b(w) with respect to w.\nAnswer: 21*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 351192?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 24 + -13 + 9 + -17 - -42\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p, 1 t, and 1 e when four letters picked without replacement from {r: 2, p: 2, e: 1, t: 1, g: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.004 and -0.11.\nAnswer: -0.00044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20 and 642?\nAnswer: 6420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2263, -4532, -6801?\n\"Answer: -2269*r + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express m**3 - 3*m**2 - 3*m**4 + 4*m**2 - 6*m - 4*m**4 + 6*m**4 as z*m + a*m**2 + t + y*m**3 + r*m**4 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 46*b + 18. Let x be f(3). Let y be 1068\/x - (-1)\/(13\/2). Suppose y*t = -1440 + 8629. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 6210*z. Let m(y) = 11*y**2. Give m(o(w)).\nAnswer: 424205100*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*f - 0*f + 78. Let j be 8 - f\/3 - (4 - -2). Find m such that 1\/2 + j*m - 1\/2*m**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-2*(-2*(sqrt(117) + 3)*-2)**2 + -5).\nAnswer: -16148 - 2304*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -2*g + 10. Let b be f(8). Is (b + 2)*(-1554)\/24 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 1910377?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 45 and 175130.\nAnswer: 1576170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 98, 206, 330, 476, 650?\nAnswer: 858","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 50051615519 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -945 + 540*c**2 - 57*c**3 + 5*c**4 - 5*c**3 - 68*c**3 - 270*c = 0.\nAnswer: -1, 3, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -4*p - 10. Let w(s) = 4*s + 9. Let t(o) = 6*d(o) + 7*w(o). Let g be t(7). Let z = -21 + g. List the prime factors of z.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 7*n + 15. Calculate z(4).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the second derivative of t**5\/20 + 3*t**4\/4 + 7*t**3\/6 - 7*t**2\/2 + 2*t. Let w be n(-8). Suppose -9 = -q - w. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a milligram in micrograms?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/(g*g**(-8\/9)*g))\/g)\/g**(1\/9))**20 assuming g is positive.\nAnswer: g**(-220\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**2 - 4 - 3 + 1. Let x(g) be the first derivative of g**3\/3 - 7*g + 6. Give 7*l(i) - 6*x(i).\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -68*h - 6. Let v(x) = -148*x - 11. Determine -5*c(u) + 3*v(u).\nAnswer: -104*u - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-4 + 3 + 5 + (-2*sqrt(567) + sqrt(567) + sqrt(567) - sqrt(567)) + -4*(-3 + sqrt(567)) + -1)**2.\nAnswer: -28800 + 2700*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1.7 (b) -23 (c) -0.3 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 8, 2, 19, -2, -9 in ascending order.\nAnswer: -9, -4, -2, 2, 8, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + y = -13, -17*z = 3*y + 570 - 1125 + 507 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the third derivative of l**5\/60 - l**3\/6 - 3*l**2. Let q(u) = -u**3 - 6*u**2 + 21. Let w(j) = 6*c(j) + q(j). What are the prime factors of w(0)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i + 6 = -8. Let h be (-474)\/(-105) + 4*(-1)\/(-14). Let w = 173\/35 - h. Which is the third smallest value? (a) w (b) -4 (c) -3 (d) i\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 9*m**3 - m**2 - m + 1. Let v be u(1). Suppose v*b + 5 = 7*b. Let r be (-132)\/b - 14\/35. Solve -o + 6*o + 3*f - r = 0, 2*o = -2*f + 12 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 58 - 67.9. Let k = -9.8907 - i. Round k to three decimal places.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 480 and 4260?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 21207 + -233274\/11. What is the closest to -3 in -0.5, -0.9, o, -2\/7?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6c5 (base 13) in base 9?\nAnswer: -1545","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 + 138 = 2*n. Suppose 13*w = 18*w - 50. What is the greatest common factor of w and n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -15 - 12*g + 23 + 0. Let b(k) = 16*k - 67. Let a(n) = 33*n - 146. Let z(r) = -5*a(r) + 11*b(r). What is -6*l(u) - 7*z(u)?\nAnswer: -5*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -14*p**3 + p + 1. Suppose 1 = -d - 0*d. List the prime factors of b(d).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(6\/7)*w**(-1\/4))\/((w\/w**(-5))\/(w\/(w*w**2))))\/((w**(-2))**(5\/6)*((w**(-2\/3)*w)\/w*w)**(2\/67)) assuming w is positive.\nAnswer: w**(-10761\/1876)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes before 2:55 AM?\nAnswer: 11:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 9734*z + 22. Let c(r) = -2421*r - 6. Let q(u) = -3*a(u) - 11*c(u). Let h(s) = -3*s**2. Determine h(q(y)).\nAnswer: -19830123*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7*w - 2*w - 2*w)*(-3*w**3 - 2 + w**3 + 0*w**3) to s*w**3 + c*w**2 + b*w**4 + u*w + x and give b.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10 - 7. What is the remainder when k is divided by ((-4)\/(-8) - 2)\/((-7)\/14)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*a = -4*r - 138*a - 12233, r + 4*a = -353 + 112 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, e: 4, b: 1, j: 9}. Give prob of sequence bpje.\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 5*h = -2*f + 88, 0 = 2*h + 8. Let n = -49 + f. Solve -10 = r - n for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.017 - -2.017. Let c = -2\/137 + -127\/685. What is the third smallest value in c, 2\/19, f, 10?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**2 + 3*w + 4. Let r(l) = 3*l**2 + 5 - 7 + l**3 - 2*l - 2*l - 4. Let v be r(-4). What is the remainder when y(v) is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from htthutthuuthhthttut. What is prob of picking 2 h?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the third derivative of 7\/6*s**5 - 67\/210*s**7 + 0*s**6 - s + 0 + 0*s**4 - 50*s**2 + 0*s**3. What is the third derivative of q(x) wrt x?\nAnswer: -1608*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s + z + 13 - 120, -3*s + 2*z + 164 = 0. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes before 6:44 AM?\nAnswer: 11:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 340 > 4437\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 - (13 + 4 + (-6 - -12 - 10)) - -8.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*p**2*s**2 - p**2*s + 1101*p**2 - 13*p*s**2 - 131*s**2 - 3*s wrt p?\nAnswer: 10*s**2 - 2*s + 2202","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -3*8\/(-3)*(-9)\/18\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*z = -8*z - 17163. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 49 - 22. Suppose 4*r - 4*n - 53 = u, -3*r - 2*n = -35. List the prime factors of r.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(78) + -4*((sqrt(78) - 1*sqrt(78)) + sqrt(78)) - sqrt(78))*2)\/(sqrt(384) + sqrt(384)*-2 - sqrt(48)\/sqrt(8)*-3).\nAnswer: 8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 104023 + -11?\nAnswer: 104012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19092, -76330, -171748, -305340, -477100, -687022, -935100, -1221328?\nAnswer: -1545700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in three eighths of a century?\nAnswer: 450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -17*w**2 + 25. Let y(d) = 228299*d**2. Give q(y(u)).\nAnswer: -886047367817*u**4 + 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 52 + -113\/2. Let m = 2242 + -2242.1. What is the closest to -2 in m, q, 0.1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 162346 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 47042 - 89748 = -2*r, 109429 = 4*b + r. Does 28 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 716170516?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 3456 divided by 24\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 114*g + 1. What is k(-1)?\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 61380 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 - -d1?\nAnswer: cd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence udyu when four letters picked without replacement from {b: 2, w: 1, y: 1, d: 1, e: 1, u: 2}.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15607599.\nAnswer: 3, 7, 37, 53, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -4*q - 14. Let t be i(-5). Suppose -2 = f - t. What is the derivative of -f*o**3 + 15*o**3 + 66 - 80 wrt o?\nAnswer: 33*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14907*v**2 + 3*v + 645.\nAnswer: 29814","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -15? (a) 0.07 (b) -8 (c) -2 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(36)\/(sqrt(12) + (sqrt(72) + (sqrt(72)*-4 - sqrt(72)))\/sqrt(6)) - 5*(sqrt(3) + (2*sqrt(3)*-3 - sqrt(3))))**2.\nAnswer: 7921\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 603 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 64, -375, -2060, -5615, -11664, -20831, -33740, -51015?\n\"Answer: -104*f**3 + f**2 + 286*f - 119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (1269\/188)\/(26\/(-104))\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -30, 12, 0 in increasing order.\nAnswer: -30, -2, 0, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 12 = 0, -9 = -t + 4*r + 12. Suppose -t*y = -4 - 6. Suppose -i = -6*i - l + 57, -3*l = y*i - 15. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a week in minutes?\nAnswer: 32760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/15*(-2)\/(-4)*-1?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (((-4)\/(-26))\/(-1))\/(1321\/(-17173))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 207565?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -277 + 282. Suppose -w*l + 6 = 2*f - 3, f - l - 8 = 0. Solve f*n = 10*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -867 divided by -51?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -27252, 2.66, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4782, 19195, 43218, 76851?\nAnswer: 120094","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - (-40 + (-11 - -11) - (-5 + 3)).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 14\/(-4) + 111375\/54 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 4*c - 3. Let f(q) = 2. Let i(b) = b + 2. Let t(r) = 4*f(r) - 3*i(r). Determine -2*m(u) - 3*t(u).\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*k**3*s**2 + 2*k**3 - 8021090*k**2*s**2 - 143360*k**2 - 30*k wrt s?\nAnswer: -6*k**3*s - 16042180*k**2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 623 and 119.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*2\/7 + (-19 - 14885\/(-770)).\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -46567 or -46566?\nAnswer: -46566","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -692 or 5331?\nAnswer: 5331","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((3\/(-6))\/((-1)\/1)*-39)\/((-15060)\/(-60240))?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 994*t - 7943. Calculate g(8).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 10072323 to the power of 1\/2, to the nearest integer?\nAnswer: 3174","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put together 26722561.7 and 1007775.\nAnswer: 27730336.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 250*l - 51*l - 105*l - 104*l.\nAnswer: -10*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**3 + 8*n**2 - 5. Let x be (21 + -17)*(-14)\/(-8). Determine s(x).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 123310 or 25.7?\nAnswer: 123310","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 186800 and 562735.\nAnswer: 2335","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/452840 and -23\/67926.\nAnswer: 1358520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 554 and 10750?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**3 - 7*l**2 - 14*l + 4. What is the smallest common multiple of 40 and g(-5)?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*h - 12955 = 107*h - 12325 for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/347 greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.88 (b) -1\/6 (c) -3\/10 (d) -1\/28 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y - 3. Let h(x) = x**3 + 4*x**2 - 7*x - 6. Let v be h(-5). Suppose 0 = -m - 5*k - 1 + 2, m = -v*k. Determine f(m).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 375 - 374. Put 14, -5, w in increasing order.\nAnswer: -5, w, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3328 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*l**2 - 2 + 2 - 3*l**2 - 6*l + 6*l + (-10*l + 24*l - 6*l)*(-3*l + 2*l + 3*l).\nAnswer: 11*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 23 - 3?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -685.2 + 687. Which is the second smallest value? (a) 1 (b) u (c) -3 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 15 = 2*l, -11*l - 3*s + 9 = -9*l. Solve 0 + 2\/5*f**3 + 2\/5*f**2 + l*f - 2\/5*f**4 - 2\/5*f**5 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -389750, -1559056, -3507924, -6236354, -9744346, -14031900, -19099016?\n\"Answer: -389781*b**2 + 37*b - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tfffztffzz. What is prob of picking 2 f and 2 t?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 10, y: 9}. Give prob of picking 3 m.\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -475 + -9?\nAnswer: -482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 9450520 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uj when two letters picked without replacement from uullplpulgugoj.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * -0.079.\nAnswer: -0.079","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -0*g - 4*g. Let o be 9\/(-6) + g\/(-2). Suppose m = 4*z - z + 2800009, m + 4*z - 2799988 = o. What is m rounded to the nearest 1000000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17669*u - 9 + 5888*u + 3 + 5888*u + 5895*u.\nAnswer: 2*u - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 48*l + 6096 + 6624. Which is the biggest value? (a) -0.5 (b) 0.3 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -12 >= 24?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000814458 rounded to 5 dps?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**2 - 5*m - 10. Let u be x(6). Let b be ((-3)\/4)\/((-17)\/u + -4). Let h be b - (-9)\/24*9. What is the smallest value in h, -2, 4, -1\/4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*m**3 - 9*m**3 + 3*m**3 - m as h + c*m**3 + b*m + p*m**2 and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sssqqsvsvqpsxqssssp. What is prob of picking 2 v?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 321921 divided by 10.\nAnswer: 321921\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11, 46, 77, 98, 103, 86, 41?\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(847) - (4 + sqrt(847))) + 3 + (sqrt(252)*-4 + -5*sqrt(448))**2.\nAnswer: 28668","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 16421 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, 239, -6, -3, -2, 4, 0 in decreasing order.\nAnswer: 239, 11, 4, 0, -2, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -21*y + 9 - 18 + 9 as j + b*y and give b.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y - 4*y + 12. Suppose 0 = -0*d + y*d - 12. Solve -16 = -d*k - 7 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 36 + 61 + -102?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 393 = -4*x + x, -665 = -5*x + 5*f. What is the remainder when x is divided by (-4)\/(-20)*(370\/296)\/((-3)\/(-324))?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0*21\/12*(-4)\/14. Suppose c + 4*t - 3*t + 6 = d, 14 = c - 4*t. Let v be (2\/(2 - c))\/((-1)\/(-6)). What is the biggest value in -1\/2, -1, 0, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ht when two letters picked without replacement from htehh?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4265*c**3 - 8165*c**3 + 3289*c**3 - 4760*c**3.\nAnswer: -13901*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 + 4. Suppose -6 = -7*d + 8. Suppose d*r = -c*r + 600. Round r to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g**5\/8 + 1759*g**4\/2 + 4122507*g**3\/2 + 6422826017*g**2\/4 - 64542028253*g\/8 + 38784707769\/4 = 0. Calculate g.\nAnswer: -2347, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -427 - -676. Suppose 11*a = 10*a + x. Suppose 0 = 31*z - 34*z + a. List the prime factors of z.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**3 - 12*z**2 - 3*z - 39. Calculate m(-12).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-136 - -120) + (-1 - -10).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 74 (b) 3 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1*13 + (2 - 4). Let n = b + -8. Solve n = -o + 1 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000003698 to seven dps.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -40 - -58. Let g be v\/(-6) + 2 - (2 - -1). Put -5, g, 9, -2 in increasing order.\nAnswer: -5, g, -2, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 18.6 or -100?\nAnswer: -100","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-252)\/(-7))\/2*(5 + 20 + -5) is divided by 85.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -169 - -81. Let f = h - -87.959. Round f to 2 dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1900.\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.0312 times 1\nAnswer: -0.0312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/3, -27, 0.2, -1\/5 in increasing order.\nAnswer: -27, -1\/5, 0.2, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -396*j. Let w(u) = -u**2. What is b(w(m))?\nAnswer: 396*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2020?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, a: 4, v: 1, t: 1}. What is prob of picking 1 m and 1 v?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 556 + -71337?\nAnswer: -709a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x + 1. Let i be (-9)\/(135\/40)*3\/(-2). Let n(u) = 2*u**2 + i*u - 64 - 69 + 135. Suppose -10*y = -6*y - 4. Give y*n(h) - 3*v(h).\nAnswer: 2*h**2 + h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002010533 rounded to five dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -19 - -12. Let k = s - -13. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h - 3*y - 102, -3*y = -3*h - 2 - 94. Calculate the common denominator of h and -9\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:36 PM and 1:32 PM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16225 = 8*r - 10511. Let i = -10 - -14. Suppose 2*n - r = -i*n. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 652 - 409. What are the prime factors of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 27*u**3 - 4*u**2 - u. Let x be y(3). Suppose 4*t = -t + x. Suppose -7*z + 4*z = -t. What is the tens digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o**4\/5 + 399*o**3\/5 - 1179*o**2\/5 + 1173*o\/5 - 78 = 0.\nAnswer: 1, 130","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z - 325*n + 641*n + 25 = 321*n, -5*n + 35 = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.596668 grams in micrograms?\nAnswer: 3596668","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*z - 3*z**3 + 0*z)*(1 + 3 - 3) - z - 4*z**3 + z as t*z + w*z**2 + h + m*z**3 and give m.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/8 in -1\/12, 1, 0.7, -1, -4?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-5*(1 + (sqrt(240) - (sqrt(240)*2 - sqrt(240)))\/(sqrt(20)\/(sqrt(12)\/sqrt(3) + sqrt(4)))))**2*3.\nAnswer: 375","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 404 is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes before 1:09 PM?\nAnswer: 10:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000547788 to six decimal places.\nAnswer: 0.000548","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -3*f**2 - 25*f - 117. Let o be s(-21). What are the prime factors of (-4 - 16\/(-3))*o\/(-10)?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ypyp when four letters picked without replacement from jpypjjijjpjpjyj.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.50823 to 1 decimal place.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2.96 and 64213.\nAnswer: 64210.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x**3 + 0*x**3 + x**3)*(0 - 2 + 4 + (3 + 4 - 5)*(0 - 1 + 0) + 7 - 2 - 3) + (x - 4*x + x)*(-x**2 + 7*x**2 - x**2).\nAnswer: -8*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23 + -92 + -118 + 89.\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -35 divided by 16?\nAnswer: -35\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1540 divided by 77.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 8770*w - 3. Let d be g(8). Let c be 12\/30 + 401574\/(-10). Let m = d + c. What is m rounded to the nearest one hundred thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 27 + -35. What is the tens digit of (3 + 76\/v)\/((-2)\/24)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(2\/25)*h)\/(h\/(h*h*h\/h**2*h)))**17 assuming h is positive.\nAnswer: h**(884\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -13*p - 5. Let g(y) = -35*y - 44. Let n(d) = 17*d + 20. Let r(u) = -6*u + 136. Let t be r(22). Let o(q) = t*g(q) + 9*n(q). What is -5*o(i) - 4*w(i)?\nAnswer: -13*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 4*o**3 + 2*o - 3. Suppose -6*t = 2*t - 704. Let a = t - 83. Let f(q) = -7*q**3 - 4*q + 5. Give a*i(y) + 3*f(y).\nAnswer: -y**3 - 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1176?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + 9 - (121 - 115)) + 26.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 28786.87875 to the nearest 100.\nAnswer: 28800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes before 2:44 AM?\nAnswer: 4:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-198)\/(-44)*7\/168*-2.\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -0 - 8, x = 4*o + 72. Let k = 6 - o. Solve -j + k = -2*j - 5*r, -5*r - 20 = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 7*y. Is 1 less than or equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -182124 less than or equal to -182128?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -857\/5 - -171. Let y = -37.8 + 38. Which is the second biggest value? (a) y (b) -3 (c) 5 (d) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3352 or 3444?\nAnswer: 3444","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*l - 39*l - 12*l - 13*l in the form p + j*l and give j.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 2*k + 46 = 0, -10 = -4*k - 14. Let d be (12\/66)\/(4\/l*-3). What is the closest to 0.33 in d, -3, -0.5, 4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 44507?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34021946.\nAnswer: 2, 7, 2430139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is ad - -1f?\nAnswer: cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1608, -3239, -4902, -6609, -8372, -10203, -12114?\nAnswer: -14117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 117237968 to the nearest integer?\nAnswer: 10828","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 79 - 73. Put -1, z, 4 in ascending order.\nAnswer: -1, 4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b - 5. What is o(5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(1\/3)\/b**(-1\/5))\/(b**17*b\/b**(-32)))**43 assuming b is positive.\nAnswer: b**(-31906\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = 5*w + 2*i - 395, 0 = -3*i. Suppose 3*p - w = -p - u, -5*u = 4*p - 75. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**2 + 1602416*q - 320967129632.\nAnswer: -2*(q - 400604)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 31, 89, 82, -3, -9 in descending order.\nAnswer: 89, 82, 31, 1, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 2*g = 251, 2*o = 4*o - g - 104. Let r be o\/15 + 3\/5. Suppose 2*d = r*d + 880000. What is d rounded to the nearest one hundred thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-12) + 0)*-1?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2647, -124\/7, -7, 0.1 in decreasing order.\nAnswer: 2647, 0.1, -7, -124\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.23 + -3.23. Which is the closest to 0? (a) 1\/8 (b) -8 (c) 0 (d) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -72 - (5 - (28 + 34)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4734*l + 8 = 4730*l. Which is the closest to l? (a) 3\/7 (b) 3 (c) -0.5 (d) 0.38\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1581*h = 1541*h - 440 for h.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 174 - 94 = 0. Suppose -2*g - 4*c + h = -c, -g - c + 11 = 0. What is the remainder when 311 is divided by g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 308 and 32802?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 316 is divided by 25.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1490? (a) -3.6 (b) -0.04 (c) 59\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 412 = p. Suppose p = 2*c - 23. Let u be 2 + 3\/(c\/(-30)). Is 0 <= u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2.499 or 1968?\nAnswer: 2.499","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 8*(3 + (-14)\/4). Let u = -666.6 - -667. Which is the second smallest value? (a) -0.2 (b) 4 (c) s (d) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -3*q**2 + 22*q - 3. Give w(7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - (-24 + 11 - -3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 32561?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -135 + 550. What is the hundreds digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -15, -56, -137, -264, -443?\n\"Answer: -y**3 - 14*y**2 + 8*y - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 201 - 51 = 0. Suppose o = -o + z. Let i be (11\/(-20) + (-36)\/(-45))*(0 - 0). Solve i = 5*h - o for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -20 - -22. What is the nearest to 5 in n, 0.5, -2\/5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -317 + 314. Which is the biggest value? (a) -2\/13 (b) 5 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 0.3 (b) -16 (c) -1.4 (d) 4 (e) -0.2 (f) 2 (g) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 368321515 to the power of 1\/2, to the nearest integer?\nAnswer: 19192","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9578104, 19156190, 28734256, 38312302, 47890328, 57468334?\nAnswer: 67046320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -339 = -3*x + 480. Calculate the remainder when x is divided by 28.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1484+71126\nAnswer: 72610","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -3*g + 2*g + 3*g - 7. Let c be i(3). Let u be (-1)\/((-20)\/12 - c). What is the nearest to 1\/2 in -2, -2\/9, u?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(1 + sqrt(228)\/(sqrt(24)\/sqrt(2))))**2.\nAnswer: 32*sqrt(19) + 320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2 or -400.734412?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 382032 a multiple of 379?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 148792?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the third derivative of -k**5\/30 + 323*k**4\/12 - 320*k**3 - 47*k**2 + 48*k. Factor t(v).\nAnswer: -2*(v - 320)*(v - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(891) + 0)*3)**2.\nAnswer: 8019","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1*(-1)\/((-5)\/5)*5\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z - 11 + 1. Let b(c) = -c. Suppose h - 7 = g - 0*g, -15 = -5*h. Let o(p) = -5*p - 1. Let j(x) = g*b(x) + o(x). Determine j(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/420 and 37\/3111?\nAnswer: 435540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**3 + 7*v**2 - 2*v + 2. Let l be d(-7). Solve -l = -2*x - 3*x - 3*r, 2*r - 2 = x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -425, -807, -1189, -1571, -1953?\n\"Answer: -382*z - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*t**4 + 18*t**3 - 92410*t**2 + 334403941*t.\nAnswer: -48*t**2 + 108*t - 184820","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1\/5)*p*p**4)**(2\/69)\/(p**2\/p*p*p\/(p*p\/p**(-2))*p*p*p*p**(-1\/10)\/p*p*p*p*p**(-1)) assuming p is positive.\nAnswer: p**(-127\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 17 + -17.09. Let l = -6.49 - z. What is l rounded to the nearest integer?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 21.4 + 4.5. Let t = -2170.38081 + 2144.482. Let v = t + p. What is v rounded to 4 decimal places?\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 890 and 40?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*n + 15*n = 27. Let s(b) = -7*b - 18. Is s(n) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -559398*t**2 - 4*t**3 + 559398*t**2.\nAnswer: -4*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 3*s**2 + 5*s - 5. Suppose 0 = -19*j - 13*j + 32. Calculate z(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2765?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m + 9. Let z be u(-2). List the prime factors of ((-26)\/(-3) - z)\/(2\/234).\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*o + 67*o - 20*o - 13*o - 18*o.\nAnswer: 5*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-81)\/(-36) - 2\/8 - 1286. What is the hundreds digit of ((-8)\/(-2))\/(5 - g\/(-258))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i - 32. Let k(b) = b - 35. Determine 7*j(v) - 6*k(v).\nAnswer: v - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -675252, -675209, -675166, -675123?\nAnswer: -675080","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8051 + 9044. Calculate the least common multiple of k and 39.\nAnswer: 12909","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-252)\/48)\/21*4\/2\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 60 and 13471620?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 + (-1 - -8) + 3.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 130468 to the power of 1\/4, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56659 - 69 = -1142*b - 3054 for b.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 73236 and 552228?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**2 + 5*t + 2. Let b(k) = -k**3 + 2*k**2 - k - 2. Determine -3*b(d) - q(d).\nAnswer: 3*d**3 - 7*d**2 - 2*d + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: a178 (base 15) to base 10\nAnswer: 34088","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 + -1. Suppose -i*l + 7 = 2*g, -17 + 3 = -3*g - l. Suppose 7 = g*c - 38. What are the prime factors of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:47 PM and 12:13 AM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zjt when three letters picked without replacement from cjzssjtsccszsvjvccs.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 24366 + -13341. What is the hundreds digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, g: 3, k: 3}. Give prob of sequence ckk.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66*a - 4*a + 41 - 40.\nAnswer: 62*a + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 - 6)*(-2*q**4 + q**4 - q**4)*((0*q + 4*q - 2*q)*(4 + 0 - 2) + 27*q + 3 - 5*q - 2).\nAnswer: 468*q**5 + 18*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*l - 8 = -4*l. Let o(x) = x**3 + x**2 - 5*x - 2. Let j be o(l). Solve j*i + 13 = -7 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 400 = 5*q, -q - 160 = -3*q + 4*l. Suppose 5*f + q = 9*f. Solve -s = 4*r + 2*s + f, 3*s + 2 = 5*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 - -4. Suppose -i*r - 10712792 = 4887208. What is r rounded to the nearest one million?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the first derivative of -k**2 - 1. Suppose -3 = -3*f + 6. Let v(a) = -f*a - 3*a + 0*a. What is h(v(o))?\nAnswer: 12*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 = -4*x - a, 23*a = -3*x + 21*a + 25 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -57b (base 13) in base 4?\nAnswer: -32303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 54*j**5 - 2*j**2 + 7*j - 2. Let u(r) = -107*r**5 + 5*r**2 - 14*r + 5. Let k(z) = -5*c(z) - 2*u(z). What is the second derivative of k(w) wrt w?\nAnswer: -1120*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is e (base 15) in base 16?\nAnswer: e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 + 7. Suppose 10*j = 5*j - 15. Which is the nearest to -2? (a) j (b) 0.4 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*sqrt(5)*-2 + sqrt(500) + 1.\nAnswer: 1 + 22*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*z - 66*z = 25. Which is the nearest to -1\/2? (a) -6\/5 (b) 0 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 12? (a) -4 (b) -1 (c) 68\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.14 - 0.16. What is the nearest to -1 in -2\/5, 1, y?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 601 times -2?\nAnswer: -1202","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 163, 155, 147?\nAnswer: 139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 + 1705439?\nAnswer: 170543a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 135*y + 2441. Calculate the smallest common multiple of c(-17) and 292.\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78956173 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the second derivative of -w**4\/6 - w. Let p(b) = -8*b - 10*b + 14*b. What is p(g(l))?\nAnswer: 8*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-7278)\/(-15769))\/(336\/(-78))\nAnswer: -3\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 9*f + 23. Give d(-9).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -299*r**3 - 174?\nAnswer: -897*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1354482 and 249.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 1 + (0 - 1 - 1)*(1 + 0 + 1) - 1 - 1 + 3)*(o**2 + o**2 - o**2 + (2*o - 3*o + 3*o)*(5*o - 2*o - 2*o) + 4*o - o**2 - 4*o).\nAnswer: -4*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -44*s*u**3 - 85*s*u**2 + s + 10237*u**3 + u**2 wrt s?\nAnswer: -44*u**3 - 85*u**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 + 4)*1\/(10\/4)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c + 5*p + 38 + 341, 0 = 2*c + 4*p - 196. Solve 0 = 23*k - 55*k - c for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 4*b - 2. Suppose 3*n - d = -3*d + 58, 22 = 2*n - b*d. Calculate the remainder when 30 is divided by n.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5607899 and 8272.\nAnswer: 517","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 1 + (-1*sqrt(1573)*5 - sqrt(1573))*-2)**2 + 3.\nAnswer: 1320*sqrt(13) + 226540","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1446285*o**5 + 5*o**3 + 3031397*o**2?\nAnswer: 86777100*o**2 + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -10*z - 115. Let q(c) = -11*c - 138. Let n(m) = 6*p(m) - 5*q(m). Let t(w) = 5*w. Let b(h) = -10*h. Let x(f) = 6*b(f) + 14*t(f). What is x(n(v))?\nAnswer: -50*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/171330 and 91\/84397158?\nAnswer: 421985790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48 - 48 + 162*x**2 + 38*x**2.\nAnswer: 200*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-16)\/(-3)*(-6)\/(-4). Suppose -2 = -5*b + m. Suppose j - b = -6. What is the third biggest value in 3, j, 1\/3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-79768)\/(-2301)*(-9)\/3*-1)\/1?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 255 and 1105?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 86828430 divided by -30\nAnswer: -2894281","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8515188 years in centuries?\nAnswer: 0.008515188","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**3\/5 + 51357274*s**2\/5 + 65939224410592*s - 197817765674880.\nAnswer: 2*(s - 3)*(s + 12839320)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 269 + -268. Let f = 2.6 - 3. Which is the nearest to n? (a) 0.3 (b) 2\/3 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*j*k*l**2 + 16*j*k*l + 3*j + 191*k*l**2 - 2*k - l with respect to j.\nAnswer: -2*k*l**2 + 16*k*l + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 35782931 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6 by 72423654.\nAnswer: 1\/12070609","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 4*h**2 + 53*h - 629. Let x(t) = -23*t**2 - 264*t + 3146. Let v(f) = -11*l(f) - 2*x(f). Differentiate v(b) wrt b.\nAnswer: 4*b - 55","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**2\/3 + 1389*b + 41570\/3.\nAnswer: (b + 10)*(b + 4157)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -5*h + 6. Let c be x(6). Let r(m) = 52*m - 2. Let l be r(1). Let n = l + c. Does 3 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -5*j + d, 0*j - d = -j. Put 4\/7, j, 4, -0.11 in increasing order.\nAnswer: j, -0.11, 4\/7, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 15 - 20 + u.\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/(-6) + 274\/166. Let j = i - 7827\/166. Calculate the common denominator of j and 61\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 12*l**2 - 3*l + 2. Let b(k) = -36*k**2 + 9*k - 5. Let u(x) = -8*a(x) - 3*b(x). Is u(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**3 - 23*t**2 - 3*t - 65. Suppose -91*m + 94*m = -3*v - 63, 5*m + 109 = -3*v. What is g(m)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l + l - 18. Let x be 5\/10 + 3\/(l - -3). Solve -x = 2*r - 7 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 32 + -13 - 16.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = y + 9, -y - 3 = -4*z + 3. Suppose -4*o = -3*o + y. Is o\/3 - (-1672 - 3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 103724974.\nAnswer: 2, 51862487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -722520563, -722520565, -722520567, -722520569, -722520571?\nAnswer: -722520573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = l - 16, 2*a - 3*l - 7 = -0. Suppose 33 - 973 = a*o. Calculate the remainder when 54 is divided by (-5)\/(-25) + o\/(-10).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**2. Let h(p) = -2*p**2 - 2*p + 44. Give h(j(i)).\nAnswer: -2*i**4 - 2*i**2 + 44","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -158 or -45865?\nAnswer: -158","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 63589?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is a511 - a2?\nAnswer: a43c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -35*n - 304. Let t be o(-3). Is t <= -202?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.2, 1, -2\/5, -6, 0, 80, -1\/20?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Solve 9*m + 57 = 35*m + 14*m - 943 for m.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -223412 (base 5) in base 16?\nAnswer: -1f2e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (221*b**2 + 26*b**3 - 221*b**2)*(5*b**2 - 5*b**2 + b**2) + (0 + 0 + 2*b**3)*(-2*b**2 - b**2 + 2*b**2) + 0*b**5 + b**5 - 4*b**5.\nAnswer: 21*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -73.656 - 15.344. Sort -2\/5, -0.5, g, -3, 2\/7.\nAnswer: g, -3, -0.5, -2\/5, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 168 and 112?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*y - 3*t + 14 = 0, -5*y + 24*t + 40 = 29*t for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -3. Suppose 0 = -5*f + 5 - 0. Let u(v) = -v + 1. What is f*p(w) + 3*u(w)?\nAnswer: -3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, 705, -23, 2, 66 in decreasing order.\nAnswer: 705, 66, 2, -2, -3, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 9666 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 540827 is divided by 463?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2671770*s**4 - 1940059 wrt s?\nAnswer: -10687080*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*n - 2*n + 0*n)*(2 - n - 2)*(33 + 58 + 10) + (4*n - 21*n**2 - 4*n)*(-4 - 1 + 3).\nAnswer: -160*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the second derivative of -r**4\/42 + 2*r**3\/21 - r**2\/7 - 4*r. Find y, given that x(y) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 - -22134314322?\nAnswer: 22134314324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 + 1.00000168. Round t to 7 decimal places.\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 - 3. Let l(y) = -3*y**3 + 3*y**2 + y + 1. Let o(c) = 1 + 2*c**3 - 3*c**3 + 5*c**2 - c**2 - 3*c**2. Let q(g) = i*l(g) + 4*o(g). Factor q(u).\nAnswer: 2*(u - 1)**2*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.16, -66, -5?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 1160 = -8*v. Solve -148 = 3*x - v for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1251.\nAnswer: 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 + 7.9892. What is z rounded to three decimal places?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (191 - 181) + (-22 - 1) - 2?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94907*y + 2*v + 48 = 94913*y, 3*y - 5*v - 60 = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 33 + -29. Solve 0*t - 2*t = -x for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/8 + (-6)\/(-216). Let f be ((-3)\/(-12))\/((-7)\/4). Let n be (1 - 6) + -1 + 209\/33. What is the nearest to n in f, l, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h + 6. Let i be v(5). Suppose 5*x - 564 = i. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-8)\/6*(-33)\/22. Let o(m) be the second derivative of 0*m**3 - m + 0 + 0*m**4 - 2*m**u + 3\/20*m**5. Differentiate o(p) wrt p.\nAnswer: 9*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the third derivative of -o**4\/8 + o**2. Let l(y) = 11*y - 26*y + 17*y. Give b(l(n)).\nAnswer: -6*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1030 divided by 4\nAnswer: -515\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -16*r. Let b(y) = 44164*y. Calculate l(b(u)).\nAnswer: -706624*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m + 3*u - 9, m - 7 = -2*u - 1. Sort m, 2, -1, 1.\nAnswer: -1, m, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000046706 to 7 decimal places.\nAnswer: 0.0000047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 606726749 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*o*r**2 - 2*o*s**2 + 3*o*s + 7*o + 2*r**2*s + r*s**2 + 13*r wrt s?\nAnswer: -4*o*s + 3*o + 2*r**2 + 2*r*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -4*j**3 - 7. Let u(y) = 3*y**3 + 5. Determine 5*k(x) + 7*u(x).\nAnswer: x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 22709228147 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 + -1630034434128.\nAnswer: -1630034434128.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3, -13 in increasing order.\nAnswer: -13, -5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -627453 (base 12) to base 9\nAnswer: -2817320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 61480 a multiple of 119?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 7*x**4 - 125792*x**3 - 187184989*x**2 + 240838406*x - 53527632 = 0.\nAnswer: -1383, 2\/7, 1, 19352","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*l**5 + 25*l**3 - 25*l**3 + (3*l**2 - 3*l**2 + l**4)*(3*l + 2*l - 7*l) - 8*l**4 + 2*l**5 + 8*l**4.\nAnswer: -5*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -343*x**4 - x - 177.\nAnswer: -4116*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 30204 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -862 * 99.758.\nAnswer: -85991.396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1, -7, -15, -23, -31, -39?\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1068*k + 1174*k = 2120 for k.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -3*k + 4*k - 18, 14 = -3*d + k. Let r = -6.3 - -6. Let z(f) = f**3 + 5*f**2 + 4*f - 1. Let l be z(-3). What is the closest to 3\/7 in l, r, d?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37804\/1*(-30 - (-549)\/18).\nAnswer: 2, 13, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**3\/9 + 280*r**2\/9.\nAnswer: 2*r**2*(r + 140)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -2*s**3 + 185*s + 11012. Is 11 a factor of r(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 152 = p - 0*p, 5*h - 381 = 3*p. Suppose -u - 2*j = -j - 21, 0 = 4*u + j - h. Let g = u - 13. Solve g*q = q + 16 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 - -1331111002113?\nAnswer: 1331111002123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 46 + 16 = -3*m, 16 = 2*u + m. Let n be (-12)\/8*(0 - u). Is 981\/n - (-4)\/(-10) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 46 + 2*t**3 - 132 + 2*t + 34 + 55 in the form m*t + a*t**3 + c + j*t**2 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 45.67 + -5.17. Let r = y + -50.5. Let u be 1 + 0 + (-7)\/3. Which is the third biggest value? (a) 0.1 (b) r (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((0 - 0)\/1)\/2. Let t(i) = -i**3 - 2*i**2 + 1. Let m(x) = -2*x**3 - 6*x**2 + 440. Let s(w) = m(w) - 3*t(w). Is s(y) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16279441 to the power of 1\/2, to the nearest integer?\nAnswer: 4035","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -12744*w. Let b(z) = -52*z + 5*z - 12*z. Let j(g) = -1298*b(g) + 6*h(g). Let q be j(-5). Round q to the nearest one hundred.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(66)*-2)\/(sqrt(6) - (sqrt(66)*-1)\/sqrt(11)) - 4*2*-1*sqrt(704).\nAnswer: 59*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10051*l + 3 + 4968*l + 5425*l)*(4*l - 3*l + l).\nAnswer: 684*l**2 + 6*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -240.7 - -241. Which is the second smallest value? (a) p (b) 0.22 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jdyxlkxkkxxyxjx. What is prob of picking 1 x, 1 d, and 1 k?\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 24 = 8*z. Let d be 8\/4 + 0 + z. Suppose -l = -3 - d. Is 3 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*3*((((sqrt(128) - 4*(0 + sqrt(128))) + sqrt(128))**2 - (3 + (sqrt(128) - (2 + sqrt(128))) + sqrt(128))) + -2) + 1.\nAnswer: -6107 + 96*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/3519, 35, 4?\nAnswer: -1\/3519","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40 is divided by (15\/(600\/(-112)))\/(2\/(-10)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -2*a**2 + 1324*a + 47053. Determine q(-34).\nAnswer: -275","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 1245854?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 greater than 70?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 + 162\/24)*(-864)\/(-336)?\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 - 113 = -p. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one tenth of a meter?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 546 = 2*o - 21, 3*u + 852 = 3*o. Let a = -288 + o. Let p(z) = -z**3 - 4*z**2 - 5*z - 2. Give p(a).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4127180 (base 11) to base 3\nAnswer: -111201011122200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 243.2 times -0.15\nAnswer: -36.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -19*r**2 - r + 3. Let w(h) = 1. Determine -d(j) + 5*w(j).\nAnswer: 19*j**2 + j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -1107, -8, 210 in increasing order.\nAnswer: -1107, -8, 210","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 35 - 30. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*f - 413 - 320 + 1037 - 3*f**2.\nAnswer: -3*f**2 + 3*f + 304","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 36*q = -38*q - 298, 4*q + 20 = 0. What is the second derivative of -673*s - 687*s - 2*s**2 + 1381*s + 2*s**2 + o*s**4 wrt s?\nAnswer: 1728*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2503 - 1?\nAnswer: -2504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 42 and 45.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-7*1\/(-91) - 20306\/338) + 32\/4\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -3*sqrt(192)*1 + (sqrt(192) - (4 + sqrt(192) + sqrt(192)*-2)**2) + 4)*-1.\nAnswer: -48*sqrt(3) + 201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -87, -175, -263, -351, -439?\nAnswer: -527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Do -2 and 67.285 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18*(-15)\/24*4\/(-5)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -994 - -807.9. Let v = k + 178. What is v rounded to the nearest integer?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/13 in 2\/13, 0.2, 2\/7?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 1 = 0, -48*g + 46*g - 62 = -b. Calculate the least common multiple of b and 19.\nAnswer: 1216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 273521 to the power of 1\/3, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-208)\/(-12))\/(((-4)\/3)\/(-4)). Let l = h + -44. Suppose v + l = -3*v. Sort 0, v, -1, -3 in ascending order.\nAnswer: -3, v, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -2 - 0 - -2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add -76 and -0.07.\nAnswer: -76.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -29, 3, -4 in descending order.\nAnswer: 3, -4, -6, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the second derivative of 2*w**2 + 1\/6*w**4 + w**3 + w + 0. Factor i(a).\nAnswer: 2*(a + 1)*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*s**2 - 14 + 14 - 9*s**3.\nAnswer: -9*s**3 - 11*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11 + -8. Suppose 0*b - 3*b = -j. Differentiate -w + b + 1 + 3 with respect to w.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 4*f**3 + 10*f**2 - 3*f - 3. Let k(z) = -3*z**3 - 9*z**2 + 2*z + 2. Let s(w) = 2*i(w) + 3*k(w). Find the third derivative of s(d) wrt d.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.4489 + 0.448910763. What is b rounded to 7 dps?\nAnswer: 0.0000108","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, h: 5, f: 10, m: 4}. Give prob of sequence fh.\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19698, 38871, 58044?\nAnswer: 77217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*p**2 - 1615*p**3 + 2 - 1620*p**3 - 69*p**2 + 3205*p**3 + 86*p**2.\nAnswer: -30*p**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:34 PM and 12:16 AM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the second derivative of i**8\/13440 + i**7\/1680 + i**6\/480 + i**5\/240 + 7*i**4\/12 + 3*i. Let x(s) be the third derivative of t(s). Factor x(m).\nAnswer: (m + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*s + 241 = 1185. Let f = s + 157. List the prime factors of f.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*y - 846*y**2 + 524*y**2 - 810*y**2 - 894*y**3 - 2*y + 892*y**3 as p*y + b + v*y**3 + j*y**2 and give j.\nAnswer: -1132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*s + 90 = 34. Solve -2*f - 3 = -s for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -30.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + s - 1 - 22 = 5, 6*s = 8*s - 2 for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1426710, -1426708, -1426706?\n\"Answer: 2*y - 1426712","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*t**2 + 17*t - 2*t**3 - 14*t - 24 - 5*t**2 - 8 + 12 as s*t**3 + c*t**2 + k*t + o and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**2 + w - 4. Let d be c(0). What is the second smallest value in d, 3, -0.5, 1.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 430329 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(99) + 4 + 2 + -1)**2 + (-5 + sqrt(99) + 2 - (3 + sqrt(99) + -4)**2).\nAnswer: 5 + 27*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eaaeaae. What is prob of sequence ae?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:30 PM and 6:43 AM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes before 9:19 PM?\nAnswer: 3:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -22 - -24. Suppose 0*g = g - 5, -5*p - j*g = -20. Factor 5*d**p - 4*d**2 + 0*d**2 - 6*d - 4*d**2.\nAnswer: -3*d*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -231 + 1620\/7. Let q(a) = a**2 + a + 1. Let f be q(-1). Which is bigger: b or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1668\/5 - 333. Factor 1\/5*b**2 + 2\/5 - g*b.\nAnswer: (b - 2)*(b - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15)\/(-9))\/((-10)\/(-12)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/((u**(-1\/7)*u)\/u)*u\/u**(1\/5))\/(u\/u**2*u**(-12)) assuming u is positive.\nAnswer: u**(523\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.555162 to 1 dp.\nAnswer: -7.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 18231595 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10413841.\nAnswer: 10413841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 23288 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 417 is divided by 141?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 49878627 to the power of 1\/2, to the nearest integer?\nAnswer: 7062","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 2*d + 8, -5*o - 3*d + 2 = -4*o. Let l be 42 - (o\/(-1) + 2). Suppose -5 = c - l. Calculate the greatest common factor of 407 and c.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 4*c**3 + 1375*c**2 - 1616*c + 37604. What is d(-345)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27633 = 1374*t - 1525*t. Let u be 261 - (1 + 0) - -1. Suppose -t = -3*j + u. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4091*g - 4087*g = -12 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 127309392*d**3*l**3 - d**3*l - 4*d**2*l**2 + 26*d*l**2 - 544*d*l - 2*d - 19 wrt l?\nAnswer: 763856352*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -477, -1007, -1521, -2013, -2477, -2907, -3297, -3641?\n\"Answer: d**3 + 2*d**2 - 543*d + 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1571184, -3142394, -4713604, -6284814?\n\"Answer: -1571210*b + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 3*v - 3. Solve -3*w**4 - 4*w**4 + 0*w**3 + v*w**3 + 6*w**4 + w - 3*w**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(33)\/sqrt(3)*2 - sqrt(88)\/(sqrt(8)*-2).\nAnswer: 5*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate t**3 - 21*t**2 + 46*t + 230696.\nAnswer: 3*t**2 - 42*t + 46","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 - 1535202?\nAnswer: -1535204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mkamaknmmyxk. Give prob of picking 2 a.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 827 or 3309\/4?\nAnswer: 827","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = s - 5*h + 15, -5*h + 20 = 0. Which is the biggest value? (a) 0.22 (b) -3 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 t when two letters picked without replacement from {t: 3, c: 2, v: 4, j: 2}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 1, i: 2, k: 1, o: 2}. What is prob of picking 1 o, 2 i, and 1 k?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in thirty-three fifths of a millennium?\nAnswer: 66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 28, -55, -3, -9, -2, -1.\nAnswer: -55, -9, -3, -2, -1, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -213 - -236. Suppose 0 = m*o - 7*o - 80. Calculate the remainder when o is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 - 108?\nAnswer: -10a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -197\/1206 - -7\/134. Which is the third smallest value? (a) -44 (b) 1\/3 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 - 46d8cd?\nAnswer: -46d8d4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -0.031069, 52 in descending order.\nAnswer: 52, 3, -0.031069","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 4*c - 101. Let t be k(25). Are -32\/17 and t equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3199871704?\nAnswer: 2, 399983963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 232833355.\nAnswer: 5, 157, 179, 1657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the second derivative of -5*t**3\/6 - 13*t. Let o(f) = -11*f + 1. Calculate -3*o(h) + 7*u(h).\nAnswer: -2*h - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 91\/316 and (1 - (-105)\/(-99))*(-963)\/(-8453).\nAnswer: 3476","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8 + (-2 - -6) + -3. Let y(t) = -7*t**2 - 11*t. Let m(b) = 7*b - 2*b + 0*b**2 + 3*b**2. Let v(l) = i*m(l) + 4*y(l). Factor v(q).\nAnswer: -q*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) -1.3 (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 113 (b) 5\/2 (c) -41\/13 (d) 101 (e) -15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 34*w. Let i(r) = 2*r. Calculate x(i(s)).\nAnswer: 68*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 43848?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 2*w + 44 = 0, q - 4*w - 24 = -6*w. Suppose 0*y = 2*y - 4*x + q, 2*x = 3*y + 10. Suppose y = -5*g + 6*g - 178. Is g a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -2*n**3 - 3*n**2 + 17*n + 12. Let m(d) = d**3 - 4*d**2 + 21*d + 13. What is -3*m(k) + 4*p(k)?\nAnswer: -11*k**3 + 5*k + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -736*c = -818*c + 256250. What is the thousands digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from lllala.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 58222112 a multiple of 416?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:49 PM and 1:22 PM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000101011011 - 101111?\nAnswer: -1000110001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 - 1. Let x be (0\/1)\/(-3) - -3. Let o be 0 - (-1 + (2 - x)). Which is the closest to 0? (a) n (b) 1\/4 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 927 is divided by 53?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2881 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3427 + 3427.2. What is the nearest to 0.1 in 4, h, -5, 0.7?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5597 - -9689. Calculate the greatest common divisor of 22 and h.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.23 + 1.23. Put 5, c, 0 in descending order.\nAnswer: 5, c, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 40146.2 to the nearest one hundred.\nAnswer: 40100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (0 - 5) - (-13 - (2 + -12)) - 90.\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in nineteen quarters of a milligram?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 + 6. Let i be (4 - -9*2)*(x - 4). Let o = i - -25. Solve 2*f - 5*r + 13 = -15, -r = -o*f - 16 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2085 - -854. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 * -2118\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-20)\/(-3)*(-18)\/(-4). Let a = -22 + t. What is the greatest common factor of 24 and a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3*12)\/(3\/9). Let r be (v\/(6\/(-3)))\/1. Let m = -4 - r. Calculate the highest common divisor of 10 and m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (6\/(-15))\/((-1)\/(-5)). Let v = 2 + w. Let z(j) = -j**3 + j + 6. Calculate the smallest common multiple of z(v) and 20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2 or -36924?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*h + 11*h - 2*x = 43450, 195547 = 9*h + 2*x. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 835*r = 832*r + 120. Which is the third biggest value? (a) -3 (b) -1 (c) 3 (d) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -4*l - 23, -4*t = -2*t + l - 4. Suppose 0 = -4*u - 0*u + 5*g + 34, 3*u - g - 20 = 0. Sort t, -3, u in decreasing order.\nAnswer: u, t, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 + 2 - (8 - 6). Solve l*n - 3*n = -6 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 61 from -0.045.\nAnswer: -61.045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 + 6. Let y = -3 - -2. Let i be 0 + (3 - 0) + y. Solve -i*p - k + 10 = w*p, -k + 1 = p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the third derivative of -s**6\/40 - 3*s**5\/10 - 3*s**4\/8 + 5*s**3 + 82*s**2 - 2. What is h in m(h) = 0?\nAnswer: -5, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4536785?\nAnswer: 5, 11, 82487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1362 is divided by 76?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = f + 4*z, -4*f = -2*z - 8 + 18. Let d = 175 + f. What are the prime factors of d?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a - 1027 - 269. What is the hundreds digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -202120302 (base 4) to base 13\nAnswer: -4c158","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.579 times 4?\nAnswer: -2.316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 137 - 135. Solve -2*s + 28 = 4*f + m*s, 5*s - 20 = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o = 4*g - 21, -2*g + o + 4*o = 9 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 3*j**3 - 39*j**2 - 7*j + 94. Calculate f(13).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11 + -92. Let v = -72 - g. Suppose a - 22 = v. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0*((-13)\/3 + 4). Let t be -3*6\/(3 + f). What are the prime factors of (t\/5)\/((-6)\/(-15)) - -96?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w + 15 + 5. Is ((-35)\/w)\/(1\/4) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**2 + 6*c + 3. Let f be p(-6). Let v(q) = -5*q**2 - 6*q + 1. Let h(k) = -7*k**2 - 7*k + 2. Let w(u) = -4*h(u) + 5*v(u). Calculate w(f).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -100*r**2 + 25*r. Let q(u) = 157*u**2 - 69*u**2 - 6*u - 63*u**2. What is -6*b(o) - 25*q(o)?\nAnswer: -25*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 470549 and -202.\nAnswer: -95050898","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 0*k - 3 = j, 2*j - 2*k - 14 = 0. Suppose j*q = 14*q - 657. List the prime factors of q.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -4*m**2 - 2313*m - 42502. Determine x(-19).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -3945620.2 to the nearest one thousand.\nAnswer: -3946000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 98314494.\nAnswer: 2, 3, 181, 90529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**3 - 2*b**2 - 4. Let v be t(3). Let w = v + -2. Let j be 6*(-1 + (-7)\/(-3)). Solve 0 = 5*f + w*s + 13, -5*f + f - 3*s - j = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, m: 8, o: 3, g: 2, s: 5}. What is prob of picking 2 s and 1 g?\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 749 (base 13) to base 5\nAnswer: 14434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16897?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**2 - 6*l - 4. Let q be g(-4). Suppose -5*a + 29 = 4*c, 5*a - 21 = q*c - 0*c. Solve 5*f = 0, -7*s - a = -2*s + 2*f for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -3*t**2 - t + 14. Let o(v) = 2*v**2 + 2*v - 13. Let k(f) = -3*g(f) - 4*o(f). Suppose -4*n + 29 = 5. What is the units digit of k(n)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5807911052 by 4.\nAnswer: -1451977763","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-20)\/(-5) - 5)\/((-10)\/2). Is 0 < h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -57627 and -1710.\nAnswer: 98542170","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 + 1 - 3)*(s**2 - 5 - 8 + 15) + (-2*s + s - s)*(-s + 0*s + 3*s).\nAnswer: 2*s**2 + 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -100.7 rounded to the nearest ten?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, r: 3, h: 2}. What is prob of picking 1 h and 1 r?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 - ((15 - 2) + -6).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the third derivative of 7*l**6\/720 + 11*l**4\/12 + 16*l**2. Let x(q) be the second derivative of m(q). Let s(y) = 3*y**2. What is s(x(f))?\nAnswer: 147*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -65\/108 + -4\/27. What is the closest to -4 in f, -0.4, 0?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1003.4 to the nearest one hundred.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -1334\/22943 at least 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one quarter of a minute?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 223976560?\nAnswer: 2, 5, 19, 147353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -26048334 minus -0.046?\nAnswer: -26048333.954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1843*j*o**2 + 103*j - 713693*o**2 wrt j?\nAnswer: -1843*o**2 + 103","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3 - (-72)\/21) + (-999640)\/(-70) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2\/17, -22, -3\/7, -3, 109?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x**2 + 4*x**2 - 4*x**2 + (87 - 49 - 48)*(3*x**2 - 4*x**2 + 2*x**2) + 5*x**2 - 2*x + 2*x)*(-x - x**2 - 2*x - x).\nAnswer: 7*x**4 + 28*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 357 by 16879.\nAnswer: 357\/16879","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What is 10771653 times 0.3?\nAnswer: 3231495.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 647.13484 less than 282.4612?\nAnswer: -364.67364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 4*g + 14 = 0, -2*r + 1 - 7 = -2*g. Let j(d) = d**3 + 8*d**2 + 7*d - 2. Let i be j(-7). Is r smaller than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2451251707 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4) - (sqrt(28)*-2 - sqrt(28))\/sqrt(7))\/(sqrt(2) + sqrt(150)\/sqrt(3)).\nAnswer: 2*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 231*b**3 + 237*b**3 - 471*b**3.\nAnswer: -3*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tlzp when four letters picked without replacement from zphzzjhlthp?\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 15) to base 13\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.950774m in micrometers?\nAnswer: 7950774","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2990, 5890, 8692, 11396, 14002, 16510, 18920?\nAnswer: 21232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 3306a20 (base 12) to base 14\nAnswer: 140ccc0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 204289027.\nAnswer: 463, 441229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 115.572ml?\nAnswer: 0.115572","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 30757 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10.366 - -134.444. Let b = w + -144. What is b rounded to 1 dp?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes before 1:29 AM?\nAnswer: 12:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 41637139 plus 12720?\nAnswer: 41649859","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*s - 353 = 96 - 35 for s.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 0.1 (b) 3\/4 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - t + 8 = 0. Suppose 0*j = -2*j + t. Which is bigger: j or 2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9201 - 9167. Which is the second smallest value? (a) -1\/4 (b) v (c) -5 (d) -0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.1152029915 and -0.32554.\nAnswer: -0.2103370085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1652217, -1652214, -1652209, -1652202, -1652193, -1652182?\nAnswer: -1652169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (-8 + 5 + 10 - 3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6868 and 36057.\nAnswer: 144228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0149414022 to 3 decimal places.\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-18)\/(-4)*(77 + -87). Let j be l\/150 + (-46)\/(-20). Solve 0 = -j*x - 2*x + 3*o + 10, 2*x + 4*o + 6 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (25 - 12 - 12 - 17*z)*(-1 - 2 + 1) to u + k*z and give k.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 + -4. Let z = -25 + 31. Suppose -z*o = -26 + 2. What is the second biggest value in d, 1, o?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 44 (b) -3.15 (c) -1.9 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 18, 40, 50, 42, 10, -52?\n\"Answer: -j**3 + 29*j - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**3 - 3*w**2 - 4*w - 2. Suppose -2*q + 12 = -h - 0*q, 4*h + 23 = 3*q. Give p(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48 = 6*d - 18*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**14\/a*a**(4\/5))\/(a\/(((a**(-15)*a)\/a)\/a)*a**(2\/19)))**(-34))**(2\/19) assuming a is positive.\nAnswer: a**(21352\/1805)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, b: 2, l: 1, m: 1}. Give prob of sequence lm.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*r + 0*r - 2*r)*(-5*r + 3*r - 38*r)*(3*r - r + r) in the form q*r + i + f*r**3 + t*r**2 and give f.\nAnswer: 240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-197 - (-448 - -242)) + 1 + -1 + -1 + -6?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3762, 7416, 11116, 14856, 18630, 22432, 26256?\nAnswer: 30096","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1394*-0.558.\nAnswer: 777.852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -189 - -187. Put d, 0, 39 in ascending order.\nAnswer: d, 0, 39","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6788179 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 2 k when three letters picked without replacement from {s: 3, k: 11}?\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3370632.\nAnswer: 2, 3, 140443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxb when three letters picked without replacement from bebnexbxnmxnm.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-27 - 6)\/(-1 - -5 - (14 + -7))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 48001543?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*l - 6*u + u = 117, -4*l + 3*u + 29 = -66 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 11) to base 15.\nAnswer: -c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 179 + 10?\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are 24400\/223 and 109 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2)*(2*i + 34 - 22 - 18).\nAnswer: -4*i + 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1361703547 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 291 and 96026?\nAnswer: 95735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -168, 5.\nAnswer: -168, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**3 + 9*f**2 + 2*f + 5. Suppose 3*y - 13 = 2. Let a be r(y). Suppose 5*n - 2*d = 300, 2*n - a = -5*d - 24. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 1 + 4)*(-y**2 + 2*y**5 + y**2) + 4*y**5 + y**5 - 4*y**5 + 2*y**5 + 0*y**3 - y**5 + 3*y**3.\nAnswer: -2*y**5 + 3*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 31 - 53. Let u(p) = -p**3 - 11*p**2 - p - 9. Let s be u(q). Let -2522 + 2522 + 3*z - z**s = 0. Calculate z.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11197 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 + (-32)\/(-12))\/((-27)\/(-405))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30354526.\nAnswer: 2, 23, 659881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from frrrmmxmrrcr. What is prob of sequence mmmx?\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.13 - 45.13. Let w = 43 + v. Let n = -6.3 - -6.4. What is the second biggest value in n, w, -3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 614353 to the power of 1\/3, to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-137)\/30)\/(408\/(-30)). Let g = 2\/51 + l. Calculate the common denominator of -33\/10 and g.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = b + 10, 4*b + 0*b = a - 2. Suppose 4*t + 3*k - 329 = b, 142 + 111 = 3*t - 4*k. Let r = t + -81. Solve 5*z = -f - 6, z + r*z + 1 = 2*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 99956 - 1\nAnswer: 99955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + -13 + (7 - 3).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjjjfjfjfcjfj. What is prob of picking 1 f and 1 j?\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x - 9. Let i(k) = 3*k**2 - 2*k - 1. Let h be i(2). Calculate f(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -25 - -36. Solve 4*v + 30 = 5*d, -3*d - t - 8 = 5*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**3 - 7*n**2 - 1. Suppose -2*w - 5*k = -239, -2*k + 53 = -w + 195. Let v = 125 - w. What is c(v)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -958*f - 3552 = 14280 + 12824 for f.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -28 (b) 69 (c) 1\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let 16*g**5 - 76*g**4 + 92*g**3 - 20*g**2 - 12*g = 0. Calculate g.\nAnswer: -1\/4, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -6*s**5 - 110*s**4 - 210*s**3 + 230*s**2 + 96*s = 0.\nAnswer: -16, -3, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**3 + 3*x**2 - 8*x + 32. Let j be g(3). Let d(u) = -3*u + 18. Calculate d(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 28*i**2 - i + 2. Suppose 0 = -g - 4*v + 6, 3*v - 12 = 4*g - g. Let q be (-4 - 0 - -3) + g. Is c(q) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 108\/(-28)*7\/(-6)*4.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the third derivative of -5*r**4\/24 - r**3\/6 - 2*r**2. Let l be t(-1). What is the second derivative of 3*k**2 - 4*k**2 - l*k + k wrt k?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*f - 31*f + 12*f.\nAnswer: -49*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*g**3 - 2*g**3 + 0*g**3 + (-g - g - g)*(0 + 4 - 5)*(-4*g**2 - 12*g + 12*g).\nAnswer: -18*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + 5 + 1 + 600 + -563.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 5572438 to the nearest one thousand.\nAnswer: 5572000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12808 or 12824?\nAnswer: 12808","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90*n - 181*n = -23845832. What is the hundreds digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -797915.\nAnswer: -1\/797915","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -51\/2354 and 127\/66.\nAnswer: 7062","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i + 5*i = -1212. Let g = i + 97. Is g*7170\/(-48)*(3 - 1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5 - 7\/((-784)\/(-592)). What is the third biggest value in 1, -121, 0.5, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 51186 (base 11) to base 3\nAnswer: 10210112120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 52*x**2 - x - 1. Let g(v) = 10562*v**2 - 6*v - 6. Give -g(s) + 6*k(s).\nAnswer: -10250*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 76425 and 50?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes before 9:20 PM?\nAnswer: 5:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 531 rounded to the nearest one hundred?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**6*f*f**(-24))\/(f**8\/f)**(-6) assuming f is positive.\nAnswer: f**25","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2644916484 to the power of 1\/7, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -59.85 - -12.81. Let p = c + 1.04. Let q = -45.9867 - p. Round q to 3 dps.\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 691, 1397, 2115, 2851, 3611, 4401, 5227?\n\"Answer: k**3 + 699*k - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**3 - 14*k**2 - 14*k - 2. Let z(g) = -g**3 + 6*g**2 + 6*g + 9. Calculate the smallest common multiple of z(7) and q(-13).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -44 + 68. Let p = 17 - b. Let v be 4\/((28\/(-8))\/p). Solve 2*u + 0*u = -v for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -7\/108392, 0.1, -4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 6, l: 3, i: 3, k: 1}. Give prob of sequence iku.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23*s**3 + 2053*s - 4082*s + 2082*s)*(-s**2 - 3*s**2 + 0*s**2).\nAnswer: -92*s**5 - 212*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 1*sqrt(637) + 1)**2.\nAnswer: 637","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 44970 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12287472*d**2*p**5 + 12*d**2*p + d*p - 25*p + 12 wrt p.\nAnswer: 245749440*d**2*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(-5)\/h)\/h*h**(-4\/7))\/(h\/((h\/(h**(-19)\/h))\/h)*h**(-4)) assuming h is positive.\nAnswer: h**(115\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 + -1.5. Let i = 59657.8 - 59658. Which is the nearest to -28\/5? (a) i (b) 3\/7 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-three quarters of a litre?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3729)\/(-539) + -7)\/(24\/84).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*-122.11754.\nAnswer: 48.847016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n + 119 = 5*s, -n + 44 = 13202827*s - 13202825*s for s.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 0 + 8 = 0. Find the second derivative of -74*s**d + 147*s**2 - 73*s**2 + 28*s - s**3 + 4*s**4 wrt s.\nAnswer: 48*s**2 - 6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 118 + -110. List the prime factors of 2\/((-2)\/2)*(-212)\/j.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1020)\/(-612))\/((-2)\/6).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -5*(-3 + -1*(sqrt(396) + (sqrt(396) + -1)**2)*5 + 2)*-6.\nAnswer: -59578 + 900*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times -9581.74\nAnswer: 958.174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s - v - 2*v - 22 = 0, 14 = -3*s - v for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 3 g when four letters picked without replacement from {d: 2, n: 3, v: 2, o: 3, g: 3}.\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5094, 10186, 15276, 20364?\nAnswer: 25450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**2 + 11*n - 8. Let z be x(9). Calculate the least common multiple of ((-34)\/(-17))\/((-4)\/z) + 9 and 93.\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -0.02, 0.1, -2\/25 in ascending order.\nAnswer: -2\/25, -0.02, 0, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 + 28 = 8*r. Let g(b) = 3*b**2 - 4*b + 5. Suppose -2*p - 2 = -o + 4, -5*o = 2*p + 18. Let v(s) = 2*s**2 - 3*s + 4. Calculate p*g(x) + r*v(x).\nAnswer: -2*x**2 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 20 + 1190 + -1236?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 7, h: 1}. Give prob of picking 3 w.\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 43, 38, 33, 28, 23?\n\"Answer: -5*g + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2947599157 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -5*w**2 + 1 + 0 + 3*w**2 + 4*w. Let r be k(3). Let o be 25\/r*4\/(-10). Solve 5*n + 2*b = -3, 0 = o*b + 10 - 2 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 3586215?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -213 + 328. Suppose 5*w - h = -q + 627, -5*w - 15 = 0. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -173\/42 and -29\/14?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 133 or 132?\nAnswer: 133","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 65 + (12 - 65) - (-6 - 53).\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + 41 = -3*d, -61 = 225159*b - 225164*b + 3*d for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -17844*w**3 + 22*w**2 - 22*w + 11. Let d(k) = 3569*k**3 - 4*k**2 + 4*k - 2. Determine -11*d(o) - 2*y(o).\nAnswer: -3571*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 33\/1719946 and -1\/18.\nAnswer: 15479514","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g + 3915691. Let i(c) = -c. What is d(i(h))?\nAnswer: -h + 3915691","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**2 - f - 3. Let k be c(-3). Let r(y) be the first derivative of 2*y**3 - y**2\/2 + 22*y - 241. Is r(k) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -43\/5 (b) 4 (c) -1\/360 (d) 2\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2495 is divided by 119?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -328 - 159 + 501 + 8*m. Give u(4).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 46*k**2 + 23*k - 5*k**2 - 3 - 104*k + 43*k**2 = 0.\nAnswer: -1\/28, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11282 times 4?\nAnswer: 45128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 20168.47 micrograms?\nAnswer: 0.02016847","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -50 - -30. Let v be 8\/a + 7\/5. What is the tens digit of (-11*v)\/(-5 + 4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 0 - 1 - (-26 + 28) - -13.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 4*u - 2 = 0, 12*u - 7 = -b + 15*u. Let c(z) = -z**2 - 6*z + 56. Calculate c(b).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -17*h + 65. Suppose -h*k + 4*n = 3*n - 26, 3*k = 2*n + 17. Let j(q) = q**3 + q**2 - 1. Let u(t) = -t**3 + t**2 - 1. What is k*u(v) - 5*j(v)?\nAnswer: -10*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1382.17 + 1389. Let f = -0.47 - u. What is f rounded to the nearest 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 267 - 203 = -15*m - n, m + 16 = n for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 10 = 0, 0*o + 3*n - 4 = 5*o. List the prime factors of 57\/o*(-2052)\/81.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11042942 to the nearest integer?\nAnswer: 223","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14 + 26. Suppose 4*d - 2*s + 20 = 6, 3*s - i = 3*d. What is the second biggest value in -2, -5, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 23*r - 5. Let h(g) = -1. Let n(t) = -h(t) + i(t). Is n(13) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v - 4. Suppose -77 = 4*s - d, -6*s = -s + d + 103. Let o = 13 + s. What is z(o)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -h**5\/3 - 4*h**4\/3 + 37*h**3\/3 + 232*h**2\/3 + 112*h = 0.\nAnswer: -4, -3, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x**5 + 63854*x**4 - 574914*x**3 - 2107846*x**2 - 2235544*x - 766464 = 0.\nAnswer: -31936, -1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:08 AM and 4:06 PM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 81\/4417390 and -23\/20.\nAnswer: 8834780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(567)\/(-3*sqrt(144)).\nAnswer: -sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 5*k = -38, -4 = 2*c - 3*k + k. Let a = c + 27. Suppose -2*m + a = -m. What is the remainder when 83 is divided by m?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in twenty-nine fifths of a milligram?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 33 = 17. Suppose 3*f - 1437 + 1425 = 0. Calculate the remainder when s is divided by f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * -363.3\nAnswer: -72.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, s: 7}. Give prob of picking 2 s.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 8*n**3 + 4*n - 4. Let b(a) = 4 + 18*a**3 + 16*a**3 - 63*a**3 - 5*a + 20*a**3 + 1. Give -4*b(d) - 5*s(d).\nAnswer: -4*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the first derivative of 149*h**4\/2 - 249*h**2 - 122. What is the second derivative of t(b) wrt b?\nAnswer: 1788*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24)\/16*3*50\/15.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1200978326?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z = 3*v + 7133 - 7118, 0 = 3*z + 2*v + 14 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1382873?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 544.61 in 4, -1, -0.1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 424.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2233989828 a multiple of 1218?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 392001 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -4 from -72417.\nAnswer: -72413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -7217\/174, -5\/7 in ascending order.\nAnswer: -7217\/174, -5\/7, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-12)\/(-9)*36 + (0 - 0) is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**2 + 5*h + 3. Let v be 2\/6 + (-3)\/9. Let f be (1 + 2)*(70\/15 + -3). Suppose -2*i - 3*c + 21 = v, f*i + c - 24 = 9. Calculate t(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -a (base 12) to base 13\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3.31 times -0.5895\nAnswer: -1.951245","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 - 2 + 0)*(0 + 5 - 4) - 3 + 5 - 3)*(-g**2 + 0*g**2 + 0*g**2) + g**2 + 0*g**2 + 2*g**2.\nAnswer: 7*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -194098240 by -19409824.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 827.\nAnswer: 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-13)\/2 + 9)*(-12)\/50. Put o, 1\/6, 35 in increasing order.\nAnswer: o, 1\/6, 35","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 65*m**2. Let z(p) = -p**2 + 13 - 3 - 10. Determine z(s(t)).\nAnswer: -4225*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the first derivative of -k**7\/14 + k**6\/5 - k**4\/2 + k**3\/2 - 74*k - 32. Let n(a) be the first derivative of u(a). Determine z, given that n(z) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 222, 214, 206, 198, 190?\nAnswer: 182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**3\/9 - 64*r**2\/3 + 1238*r\/9 + 476\/3.\nAnswer: -2*(r - 7)*(r + 1)*(r + 102)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 38 - 23. Suppose -l*c = -19*c + 8. Let x be (9 + -10)*((-2 - 1) + c). Which is smaller: x or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1122010 (base 3) in base 9?\nAnswer: 1563","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 + 3*v - 9)*(1 + 2*v - 1)*(-2 - 2 + 0).\nAnswer: -24*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-705*x + 210*x - 458*x - 104*x)*(0*x + 0*x - x).\nAnswer: 1057*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -5*i - 309. Calculate p(-30).\nAnswer: -159","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 4*v - 480, 3*v + 54 = -l + 414. Let b(q) = 4*q**2 + 4*q + 12. Let j be b(8). Calculate the highest common divisor of j and v.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (93*f**2 + 11 - 95*f**2 + 34)*(-3*f**2 - f**2 + 3*f**2) in the form j*f**4 + r*f**3 + q*f**2 + u*f + b and give q.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 280\/(-6)*(-20958)\/24451.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -17*k**2 + 26*k + 6. Let r(q) = -6*q**2 + 9*q + 2. Calculate -11*r(n) + 4*u(n).\nAnswer: -2*n**2 + 5*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 502247 is divided by 775?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1006000.\nAnswer: 2, 5, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1\/2))**(1\/16)*g**(2\/9)*((g**(-1)*g)\/g)\/g*g assuming g is positive.\nAnswer: g**(-233\/288)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -47622 + 47624.7511. What is d rounded to 0 dps?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3038649 to the nearest integer?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -54*c - 94*c - 85*c**2 - 5 - 59*c + 205*c to the form a + t*c**2 + h*c and give t.\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1214952 or -15?\nAnswer: -1214952","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the first derivative of m**6\/195 - m**5\/130 - m**4\/39 + 150*m - 232. Let q(o) be the first derivative of l(o). Factor q(h).\nAnswer: 2*h**2*(h - 2)*(h + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 4*r, -3*x + 4*r + 691 = 153. Sort -9, -5, 3, x, 4.\nAnswer: -9, -5, 3, 4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1078 = 2*p + 4*m, 3*p = 2*m + 909 + 700. Let g = -537 + p. Solve -4*s - 4 = -g for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47 = -3*h + 38 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(-1\/2))**18*(k\/(k*k*(k*k**13)\/k)*k)\/k**18 assuming k is positive.\nAnswer: k**(-22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/30*14 + (-2)\/6.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 363 a factor of 670322386?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*p + 12*p = -5*w + 8, 4*p + 3 = -w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the first derivative of -3*n**2 - 8*n + 3. Let x(k) = -6*k - 9. Let p(b) = -4*a(b) + 3*x(b). Is p(5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26, 23, 104, 217, 362, 539, 748?\nAnswer: 989","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:38 AM and 4:33 PM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**2 - u**2 + 8*u - u**3 - 6*u**2 + u**2. Is x(-7) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2)\/3)\/((-4)\/6). Let s = -43 - a. Let w = s + 48. Calculate the remainder when 47 is divided by w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -3*k**2 + 19*k. Let w be (-5)\/((-1 - 1)*(-4)\/(-8)). Let z(s) = -w*s**2 + 7*s**2 - 1794 + 1794. What is z(j(y))?\nAnswer: 18*y**4 - 228*y**3 + 722*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 140 and 350?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -56472 or -0.1?\nAnswer: -56472","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -0.01, -0.3, -2640, -2\/33 in descending order.\nAnswer: 4, -0.01, -2\/33, -0.3, -2640","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 49691\/6498 - 13\/361. What is the common denominator of q and 3\/(-9) - 285\/(-36)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1034? (a) -0.2 (b) 0.41 (c) 8 (d) -102\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13786 + 179080\/13. Which is smaller: d or -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1\/2 (b) -518 (c) -5\/16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**3 - 5*x**2 + x - 7. Suppose 0 = 3*i - 2*i, 5 = u + i. Determine g(u).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1761329 + 1031329. What is v rounded to the nearest 100000?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -64 - 63 - 7*q**2 - 63 + 252 + 16*q - 61 to the form k*q**2 + j*q + w and give k.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 159 is divided by 33.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 4, o: 8, w: 1, b: 1, a: 3}. What is prob of picking 1 w, 1 o, 1 b, and 1 a?\nAnswer: 6\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is t in t**3\/2 - 1131299*t**2\/2 + 319959922499*t\/2 - 319958791201\/2 = 0?\nAnswer: 1, 565649","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 71900*m**2 + 225430*m wrt m.\nAnswer: 143800","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -25f (base 16) in base 13?\nAnswer: -379","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 220?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1479\/(-232) + 1*4 and -5\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3925*a - 4*a**3 - 1963*a - 1962*a.\nAnswer: -4*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 13717\/13 + (-6)\/(-156)*-4. Let z = 8 + 2. Suppose -z*s + 5*s = -v. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/4*(-6)\/(-27)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10 - -6. Let c(b) = 5 + 58*b - 34*b - 22*b. What is c(z)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2155 is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**2\/3 - 202305494*k\/3 - 10231878225646009\/3.\nAnswer: -(k + 101152747)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -11 + -4 + 60\/75 + 12. Let y be (-5)\/(-4) - 2\/2. Which is smaller: y or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -103 less than 5?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*g**4\/11 - 62*g**3 - 76180*g**2\/11 - 241000*g + 1386000 = 0. What is g?\nAnswer: -126, -110, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dbddv. What is prob of picking 3 d?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.2 + 1.2. Let n = -11 - -13. What is the biggest value in n, 3, u?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15961306 is divided by 7980637.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.5352 + -3.55. Let w = s + 0.2148. Which is the fourth smallest value? (a) w (b) 3 (c) -0.4 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h - 2*g - 98049, -2*h - 4*g + 14131 = -25079. Is h a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -97 divided by 3.\nAnswer: -97\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 364603?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/19, 3, 1\/9, 8 in descending order.\nAnswer: 8, 3, 1\/9, -4\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 119612 = -7*d, 71*r - 69*r = 3*d - 51266. Calculate the greatest common divisor of d and 48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.71 - -0.51. Sort 1, o, -2, -6 in increasing order.\nAnswer: -6, -2, o, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the first derivative of a**4\/4 - 5*a**3\/3 + 2*a**2 + 8*a - 18. Let i be k(5). Calculate the greatest common factor of i and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eevvelevvvveve. Give prob of picking 2 e.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/6*(-5997)\/3998?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 431324813 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 - 1. Let v(p) = 1 - g + 2*p**2. Let b(s) = -3 + 3 + 2672*s**2 - 2669*s**2. Give b(v(u)).\nAnswer: 12*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 3*s**2 - s + 3. Let q(m) = -23*m**2 + 142*m - 24. What is -q(b) - 7*v(b)?\nAnswer: 2*b**2 - 135*b + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -2*z**2\/11 + 939640*z\/11 + 15974458\/11 = 0.\nAnswer: -17, 469837","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 297 + -168. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 2*n + 0)*(-3 + 1 + 0) - 4*n + n + 2*n + (3*n - n - 7*n)*(2 + 0 + 0) to the form g*n + y and give g.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -96 + 97. Let s(w) = 2*w**2. Let v be s(j). Find l such that -8*l**2 - 56 + 2*l**v - 6*l + 21*l + 50 = 0.\nAnswer: 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -961713 divided by -120.\nAnswer: 320571\/40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 9 = -6. Suppose c - 15 = -4*c + 2*w, c + 5*w = x. Let m be (2 + -4)*((-30)\/4)\/5. Solve 0 = -m*b - 6 - c for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 - -8e021b8?\nAnswer: 8e021b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in 4348, -0.5, 0.3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -16*p + 7. Suppose -10 + 2 = 4*y. Let c(i) be the second derivative of 5*i**3\/6 - i**2 + i - 9. Let f = -9 + 2. Give f*c(l) + y*m(l).\nAnswer: -3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1914*j**2 + 117*j wrt j?\nAnswer: -3828","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**4\/2 + 15*d**3\/2 + 3*d**2\/2 - 47*d\/2 + 15.\nAnswer: -(d - 15)*(d - 1)**2*(d + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 6 - 1 - 2*i**3)*((3 + 0 - 2)*(i + 0*i + i) + 2 - i - 2 + 2*i + 5*i + 0*i).\nAnswer: -16*i**4 + 16*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 223\/2, 14, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63074591 is divided by 1270.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand p + 0*p + p + ((3 + 3 - 4)*(-4 + 0 + 2) + 0 - 3 - 4)*(-2 + 1 + 4)*(2 + 0 - 1)*(10*p + 0*p + 3*p).\nAnswer: -427*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6264?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 - (12\/30 - (-164)\/(-60)). Let l be ((-1)\/7)\/(4\/(-14)). Let t = -1.1 + 0.1. Which is the closest to d? (a) t (b) 4 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2.4 in 61.9, 32, 5, 3\/5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g. Let i(m) = -4*m - 7. Let l(w) = -5*f(w) - i(w). Differentiate l(s) with respect to s.\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**5\/3 - 640*d**4\/3 + 1288*d**3\/3.\nAnswer: -2*d**3*(d - 2)*(d + 322)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -50*l**2 - 164*l + 353. What is f(-5)?\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z and 1 w when four letters picked without replacement from zzzzzzzzwzzzzwzzzzzz?\nAnswer: 32\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/((-1)\/(2 - 0)). Suppose 2*c - 5*z - 9 = 0, -z = -3*c - l*z + 5. Let n = 3.2 - 0.2. What is the smallest value in c, n, 4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -66423, -66433, -66447, -66465?\n\"Answer: -2*y**2 - 4*y - 66417","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, 1, 1\/4, -1.38?\nAnswer: -1.38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1401 (base 13) to base 6.\nAnswer: 21150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y**3 - 2*y**3 - 2*y**3)*(2354 - 1337 - 3396).\nAnswer: 7137*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**(3\/10))\/z*((z\/z**5*z*z)\/z)\/z)\/(z**(-19)\/z**19) assuming z is positive.\nAnswer: z**(337\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 4 (b) -4\/9 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.3 and 812.\nAnswer: 811.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 38*l**3*x**3 + 6*l**3*x - l**3 + 2643*l wrt x?\nAnswer: 114*l**3*x**2 + 6*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 25\/6, -4, -13, 2.98, 2 in decreasing order.\nAnswer: 25\/6, 2.98, 2, -4, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqt when three letters picked without replacement from {x: 2, t: 2, a: 2, y: 8, w: 1, q: 5}.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/8)\/(((-90045)\/(-900))\/23)*88\/550\nAnswer: -2\/145","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 756.2 - 756. Which is the closest to l? (a) 2\/11 (b) -4 (c) -1\/8 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/985 and -57\/2365?\nAnswer: 465905","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -17670a3 (base 12) to base 6.\nAnswer: -252132323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.41 + 0.01. Let m = -0.2 - v. What is the smallest value in m, -3\/8, 4?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 206712581 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + 0*s = -10 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-165)\/55*(-1)\/3*-7?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 19449 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-69 - -9)\/6 - -54. Suppose -20 = -4*h, -t - 2*h + 6 = -3*h. Calculate the greatest common factor of i and t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14107 is divided by 36?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -756 - 4552.\nAnswer: -5308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*t = -5*u - 29, -1243*u + 1242*u - 2 - 7 = -2*t for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2399603, -2399612, -2399635, -2399678, -2399747, -2399848?\nAnswer: -2399987","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/((d*d**25)\/d)*d*d**(-1\/6))\/(d\/d**(-7)*d)**50 assuming d is positive.\nAnswer: d**(-2839\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*j + 9*j - 46. Let v = 36 - j. Solve -5*q = 33 - v for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -17.9 - -18. What is the smallest value in h, 3\/4, 5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 + 122120102001?\nAnswer: 122120102001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 114320 is divided by 542?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14 and 159750913?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i\/(i**(-3\/10)\/i)))\/(i\/i**1))**(-2\/55)*(i**(-2)*i**(-2\/11))\/(i**(3\/4)*i**(-1)) assuming i is positive.\nAnswer: i**(-2073\/1100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -257 - -198. Let i = k - -193. Is 4 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -663 + 219 + 222 + 222 - 2*b. Let g be -1 + -2*(1 - 4). Let j(v) = 3*v + g*v - 4*v. Give j(a(t)).\nAnswer: -8*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -1926703 at most -1926700?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/(-9) - (-64)\/(-12). Suppose -1 = -x, -3*z + 4*x + 0 = -2. What is the remainder when 53 is divided by 399\/15 - z\/v?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52527122 (base 8) in base 16?\nAnswer: aaae52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(((-32)\/15)\/(2\/(-5)))?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (40\/(-12))\/(18\/(-27))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 59750?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 1 + 82*m**3 - 89*m**3 in the form c*m**2 + b*m + x*m**3 + j and give x.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 6325159 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -120 (base 3) to base 11.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*f - 17*f + 1 + 3)*(2 - 2 - 2).\nAnswer: 4*f - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, 6, 29, -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 - -1 - -23)*48\/32. Suppose -z = -2*g - g. What is the least common multiple of g and 21?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r - 2. Let f be i(-5). Suppose 96 = 117*x - 121*x. What are the prime factors of f\/(3 - (-63)\/x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -19, -60, -125, -226, -375, -584, -865, -1230?\n\"Answer: -2*r**3 - 27*r + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2244430 rounded to the nearest ten thousand?\nAnswer: 2240000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in 1\/2386, -0.2, -0.3?\nAnswer: 1\/2386","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 466747765?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (67\/134*6138\/(-155))\/((-3)\/5).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 + 200130?\nAnswer: 200200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a**2 + 12038*a + 60140 = 0. What is a?\nAnswer: -6014, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -3, -50, -111, -192, -299?\n\"Answer: -t**3 - t**2 - 37*t + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 94.8 + -18.8. Let c = -499.6 - -423.344. Let p = c + w. Round p to two decimal places.\nAnswer: -0.26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 86 + -35. What is the remainder when y is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.03725 in -5, -2\/3, 2, -1?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0\/(-3 - 42\/(-7)). Solve s = 5*m - 5, -t = 4*t + 3*m - 8 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 1 x when three letters picked without replacement from {u: 4, y: 2, x: 2, b: 3, n: 1}.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6 - 3*o**2 - 7 + 18 + 2 - 2 - 2*o**2 + (0*o + 0*o - 2*o)*(2 - 2 + 2*o) - o**2 + o - o.\nAnswer: -10*o**2 + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95 = k + 95. Solve -h + 2*h + 5 = k for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3096.07 rounded to the nearest 10?\nAnswer: 3100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 3*g + 34, -f - 6 = g + 9. Let q(l) = l**2 + 12*l + 1. Let z be q(f). Let d be (-16)\/z + (-2)\/(-5). Solve d + 3 = -v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f = -3*y + 5, y + 4652*f = -0*y + 4644*f + 50 for y.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3915701?\nAnswer: 523, 7487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > 44\/1971?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r + 4. Let y(t) = t - 1. Let d be y(4). Suppose 0 = 5*i - d - 7. Let b be 0 - (i + -1) - -1. Determine m(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in thirteen sevenths of a week?\nAnswer: 312","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**2 + 17*k - 23. Suppose 0 = 4*r - 16, 0*d + 4*d - 2*r + 12 = 0. Let c be -1 + d + ((-30)\/2 - 2). Is l(c) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1101010001101110100 (base 2) in base 10?\nAnswer: -435060","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -588*u**2 - 3527*u + 9. Determine v(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -3 + n**3 - 5*n**2 + 2*n + 1 + 4*n - n. Let d be y(3). Let o be -1 + 0 + 6 + d. Solve v + 1 + 3 = o for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the second derivative of 0 + 5\/6*b**3 - 3\/2*b**2 + 3*b. Let g be d(4). What is the greatest common divisor of g and 51?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/1328 and 25\/794808.\nAnswer: 1589616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-2)*-1*8\/66?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000037603 rounded to 6 dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**3 + 6 + 27*s**2 - 37*s**2 + 9*s + 0. Let p be x(9). Solve 3*o - 2*g - p = 0, g = 2*o - 4*g + 7 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2454)\/4499 - (-60)\/99)\/(1\/(-6))?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -61189\nAnswer: -2\/61189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(80)*1*-3)**2 - (2*sqrt(5)*1 + (1 + sqrt(80) - sqrt(5))).\nAnswer: -5*sqrt(5) + 719","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 7 = -5*x, -3*x + 1 = 4*k - 9. Suppose 0 = x*b + 2*b. Let i be 2 - (1 + 0) - b. Calculate the greatest common divisor of i and 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -76 - -124. Let w = 0.051 + 45.949. Let b = g - w. What is the biggest value in b, 0, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2121908400?\nAnswer: 2, 3, 5, 79, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b\/(((b\/(b*b**(-26)*b)*b)\/b*b)\/b)))\/b**(6\/13))\/(b*b**23*b*b\/b**15*b) assuming b is positive.\nAnswer: b**(163\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 7 (b) -2\/3 (c) -71\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.951 + -0.049. Which is the nearest to -2? (a) x (b) 0 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 - 0.1. Suppose 4*x + 4*u = -x + 35, -10 = -2*u. Suppose -5*f + 15 = -2*f. Which is the closest to p? (a) -4 (b) f (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 94059 by 10451.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 688?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 676\/3 (b) -2 (c) -23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -50, 4, -2910 in increasing order.\nAnswer: -2910, -50, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 9*v**2 - 136*v - 37. Let x(h) = -6*h**2 + 94*h + 25. Give 5*g(n) + 7*x(n).\nAnswer: 3*n**2 - 22*n - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 6 - 1 = 0. Let h(y) = y**2 - 9*y + 21. What is the lowest common multiple of h(5) and v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -4136 + 2068 - 6*y + y + 2081 - 7*y. Determine t(4).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**2. Let u(r) = r**3 + r**2 + 2. Let p be u(0). Let j(f) = 2*f**2 + 3*f**2 - 4*f**p. Determine j(x(v)).\nAnswer: v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3302503490?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1335329 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that s**5\/6 - 1729*s**4\/6 + 253865*s**3\/2 - 12037747*s**2\/6 - 89182360*s\/3 - 82432800 = 0.\nAnswer: -5, 27, 856","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 744 is divided by (3 + 53 + 2)\/(108 + -107)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3*o**2 + 3)*(927*o**2 - 927*o**2 + 19*o**3) - 6*o + 6*o - 2*o**5.\nAnswer: 55*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tegg when four letters picked without replacement from {u: 1, f: 1, o: 3, t: 1, e: 1, g: 5}.\nAnswer: 1\/594","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/14 in 2, 1\/6, 0.3, -8\/3?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in three eighths of a week?\nAnswer: 3780","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 453 * 0.46\nAnswer: 208.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 435, 434, 433, 432?\nAnswer: 431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 3*n - 26. Let c(l) = -l**2 - 14*l - 6. Let t be c(n). What is the first derivative of 2 - 3 + t*h**3 - 5*h**3 wrt h?\nAnswer: 6*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10271.\nAnswer: 10271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2226*t**3 + 163*t**2 - 2*t + 15016 wrt t.\nAnswer: -13356*t + 326","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33 is divided by 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/(-12) - 7\/(-14). Find the first derivative of 14 + 67*u + 12 - 4 + v wrt u.\nAnswer: 67","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 5 (b) 0 (c) 0.03 (d) 10 (e) -1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 - 2)*(11*u + 15*u**2 - 11*u) + 3*u**2 + u**2 - 3*u**2 + 2*u**2 + 5*u**2 - 5*u**2 + (2 - 5 + 1)*(0 - u**2 + 0).\nAnswer: 20*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 69.3828l?\nAnswer: 69382.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f - f + 3*f)*(-f + 4*f**3 + f) + 0*f**4 - 3*f**4 + 2*f**4.\nAnswer: 3*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -686, -1364, -2016, -2630, -3194, -3696, -4124, -4466?\nAnswer: -4710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1320712 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(((sqrt(468) + 1)*2)**2 + -5 + (sqrt(468) + 0)**2) + -3 + 5 + -3.\nAnswer: 48*sqrt(13) + 2338","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 2*y - 4178, -5*q + 8705 = 3*y + 2406. Factor -y*u**3 - 75*u**2 + 1046*u**3 - 240*u + 1042*u**3 + 320.\nAnswer: -5*(u - 1)*(u + 8)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1, -5, 118, 10 in decreasing order.\nAnswer: 118, 10, 1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 42402112?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1.1, 1\/4, -15?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 10 = 9. Let n = 0.1 - -3.9. Which is the biggest value? (a) n (b) -3 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14688, -29377, -44066, -58755, -73444?\nAnswer: -88133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*c**2 + 192090*c - 44445200 = 0. What is c?\nAnswer: -38648, 230","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -24*p - 39. Is r(-11) a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**3 + 7*a**2 - 2*a + 17. Let w be 7*(2 + (-3)\/3). Let h be r(w). Solve -3*f = -0 - h for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 87\/116*(-8)\/(-57)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18152 and 56?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-12)\/(-90)*(-6)\/8. Let a = 25 - 20. Sort v, -3\/5, a in decreasing order.\nAnswer: a, v, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s = -s - 5. Differentiate s + 6*y + 6*y + 7 wrt y.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/55? (a) -113 (b) 8\/3 (c) -1 (d) -121\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 680 and 9757520?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.98363 - -3.959. What is k rounded to three decimal places?\nAnswer: -0.025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -14*n - 80024. Let s(p) = 4*p. Give s(m(i)).\nAnswer: -56*i - 320096","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.6102473 millilitres?\nAnswer: 0.0006102473","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-1\/16)*l**(-1\/7)*(l**3)**(-11) assuming l is positive.\nAnswer: l**(-3719\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.6, 0.4413, 17, -0.4 in decreasing order.\nAnswer: 17, 0.4413, -0.4, -0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 178 - 124. Let u = -54 + z. Let i = 8.009 - 0.009. Which is the nearest to u? (a) -2\/5 (b) 0.3 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13131 = -758*m - 19317 - 8766 + 7104 for m.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 3 - 2)*(-15*l - 16*l - 32*l)*(-4 - 7 + 14).\nAnswer: -567*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.7 - 0.3. Let v = -12 + 8. Which is the closest to 0? (a) x (b) -1\/3 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x - x + 4*x)*(9842*x - 128141 - 128137 + 256278).\nAnswer: 9842*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (0 + sqrt(1900))**2 + 4 + (-1*sqrt(1900))**2 - (((sqrt(1900)*-1*-5 + sqrt(1900) - sqrt(1900)) + sqrt(1900))**2 + 4).\nAnswer: -64602","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 70\/24*(-15)\/50*8\/(-28)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 2, 0, -1272, -49, 1 in ascending order.\nAnswer: -1272, -49, -9, 0, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11100111101001101110001 - 10?\nAnswer: 11100111101001101101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1824, -1825, -1826?\nAnswer: -1827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the first derivative of -r**3\/3 + 9*r**2\/2 - 15*r - 14. Let w be o(4). Sort 3, 17, w, 1 in descending order.\nAnswer: 17, w, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14610 = -d - 1849*b + 1848*b, -d - 3*b = -14598. Is d a multiple of 63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (-2 - 1) + 2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q**4\/7 - 70330*q**3\/7 - 2571054*q**2\/7 - 4136630*q\/7 - 233700 = 0. Calculate q.\nAnswer: -11685, -35, -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4672\/2409 - (-2)\/33. Solve 5*j = 4*y - h, -j + 3*y = -5 + 12 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 118\/295 + 16\/(-15) + (-23)\/(-48)?\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + 2 + 4 - 4 - 5 - -7?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12.2, 2, -3 in descending order.\nAnswer: 2, -3, -12.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the third derivative of -7*o**6\/15 - 11*o**4\/8 - 2*o**2 - 20. What is the second derivative of u(b) wrt b?\nAnswer: -336*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -f**3*s**3 + 10134641*f**3*s - 43*f**2*s**3 - 2*f*s**3 - f - 793*s**3 wrt f?\nAnswer: -6*s**3 + 60807846*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8797 + -8344. Which is bigger: m or 2271\/5?\nAnswer: 2271\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -28 + b2b8e?\nAnswer: b2b66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are 139126 and -43 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11 - -139. Calculate the highest common factor of f and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 2, -2 = 4*p - 4*t + t. What are the prime factors of 1 - -16 - (p + 1)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/(-20) - (-6)\/(-10))*-1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**3 + 11*f**2 + f + 3. Let t(l) = -8*l**3 + 77*l**2 + 46*l + 20. Calculate 14*j(i) - 2*t(i).\nAnswer: 2*i**3 - 78*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**2 - 13*a + 12. Give p(12).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f + 5*t + 13004, -5*f + 24*t = 20*t - 16255. What are the prime factors of f?\nAnswer: 3251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + -8 + (21 - -3 - 8)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-5)*(1545\/721)\/(6\/14).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -3*a**3 - 272*a**2 - 956*a + 191. Calculate d(-87).\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrreerrrrrr. Give prob of picking 2 r and 1 e.\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/32 of a gram?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -7d - 3?\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 962.4124l in millilitres?\nAnswer: 962412.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**3 - 7*k**2 + 4. Let j be y(7). Suppose 11 = 5*l - j. Solve 3*i = 3*p - 9, 0*i - 15 = -l*p - 3*i for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -155 - 33*u - 260 + 39.\nAnswer: -33*u - 376","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 253146162 to the power of 1\/5, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 100672\/8483 - 110\/499. Let n = u + -893\/119. Find the common denominator of 2\/9 and n.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38390098349 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from akargarkappkug. What is prob of picking 2 k?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 34\/5 of a milligram?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = k, -2*s = -s + 3*k. Let v = s + -7. Let g = v - -10. Solve 16 = h + g*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from {z: 4, q: 6, o: 2}.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/8 of a gram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 + 1 + -124)\/(6\/(-14)). What is the first derivative of 44*j**4 + 286 - 2*j**3 - 2*j - b + 2*j wrt j?\nAnswer: 176*j**3 - 6*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, l: 3, z: 2, u: 1}. What is prob of sequence lzl?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 6 = -2. Suppose -10 + 4 = -2*a, h*l = a + 2801. Let u = l + -498. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 41*m**3 + 9*m**2 + 7*m. Let r be j(-1). What is the nearest to -2\/3 in 1\/10, -2, r?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -978 + 981. Put i, -5, 87 in descending order.\nAnswer: 87, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3218 (b) 0.1 (c) -2\/21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p - 4*q + 8, -p + 3*q + 10 - 21 = 0. Let h be 2\/8 + 11\/p. Sort -7, h, 5 in descending order.\nAnswer: 5, h, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-9 + -5 - -8) + (-6 - (53 - (7 - 1)))\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**3 + 19*b**2 - 16*b - 36. Let h be m(18). Let -2\/7*k**3 + h - 2\/7*k**2 + 0*k = 0. What is k?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/4902 and 9\/32680?\nAnswer: 98040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*w + 4*w**3 - 35*w - 683*w**3 - 146*w**3.\nAnswer: -825*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6714000 divided by -44760.\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*g**2 - 1102208 + 1102208.\nAnswer: 6*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -481955 + 769890. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) - 5*(sqrt(2) + 2))**2 + sqrt(72)\/sqrt(9).\nAnswer: 82*sqrt(2) + 132","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 5*d**2 + 0 + (-4*d - d + 4*d)*(9 + 7*d - 9) as w*d + g*d**2 + q and give g.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 37.21 + -12.91. Is o at most -2\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7868 and 2248.\nAnswer: 15736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 - -1. Let j = 4 + -3. Let t be (-1 - (-2)\/j)*1. Which is the second biggest value? (a) t (b) g (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 - -7. Let y(k) = 2*k + 4. Let r be (-16)\/(-6)*(-45)\/(-60). Let p(v) = v**r - 7 - 2 - 20*v + 15*v. Give h*p(i) + 9*y(i).\nAnswer: 4*i**2 - 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 + 4*y)*(1 + 1 - 12)*((2 + 0 - 4)*(4*y - y - y) - y - 2*y + 2*y) to d*y + g + c*y**2 and give c.\nAnswer: 200","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -19 + -21. Let o = -17 - k. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18.36 times -7?\nAnswer: 128.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -95870 * 0.4\nAnswer: -38348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-379)\/239*-157)\/12. Let y = i - -2\/717. Find the common denominator of (-3 - 343\/(-882)) + 1\/(-9) and y.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53707715 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2 - 54\/24) + (-3)\/4. Let y = 7 - 2. Put 2, -9, y, f in decreasing order.\nAnswer: y, 2, f, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-r**4 + 2*r**3 - 6*r**3 + 3*r**3)*(-307 + 98 - 293 + 106) to y*r + f*r**2 + a*r**3 + j + b*r**4 and give b.\nAnswer: 396","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add 1.7733006 and -746.\nAnswer: -744.2266994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 56309?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -414510, -1658055, -3730622, -6632205, -10362798, -14922395, -20310990?\n\"Answer: k**3 - 414517*k**2 - k + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eed when three letters picked without replacement from {e: 4, d: 10}.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3128?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -47.53 or -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*r**4 + r - 5*r + 5*r + (r**3 + 7*r**3 - 4*r**3)*(-3 - 2*r + 3).\nAnswer: -5*r**4 + r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**2 + 80830098*b + 80830099.\nAnswer: -(b - 80830099)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 343763 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.836 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 2*k**3 + 15*k**2 + 8*k + 4. Let t(v) = -7*v**2. Let h be t(1). Let l be p(h). Let z(i) = i**2 - i. Let w be z(l). Solve -4*b = -4 - w for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2521276184 - -2\nAnswer: 2521276186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/4*24\/1. List the prime factors of 435\/4 + 3\/q.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**3 + 6*w**2 + 6*w + 9. Let o be j(7). Sort 3, o, 5 in descending order.\nAnswer: 5, 3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(99) - -2*sqrt(99)*-1) + (sqrt(99) - (-1*sqrt(99) + -5)) + (2*-1*sqrt(99) - (sqrt(99) + 1 + 2*sqrt(99))))*-6)**2.\nAnswer: -3456*sqrt(11) + 57600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13914 = -g - 5*r, -r - 39 + 37 = 0. Is 10 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 73362759?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**3 + 5*r**2 + 45*r - 9. Let f be i(-5). Suppose 0 = -z - j + 5, 2*z - 2*j = 7*z - f. Solve 3*v + 4 = -z for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4, 26, 60, 106, 164?\nAnswer: 234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 - 1) + (-2)\/(-1). Let u be 5\/(-10)*(-36)\/h. Round u to the nearest 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.3928 rounded to 2 dps?\nAnswer: 4.39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -49.0581 to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:49 PM and 2:51 PM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 58031*g**3 - 56780*g?\nAnswer: 348186*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5452 and 1175?\nAnswer: 136300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 106*w*y**6 - 1801*w*y**4 - 3*w*y**2 - 71*w*y + 2*w - 28*y - 10 wrt y.\nAnswer: 12720*w*y**3 - 43224*w*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 48*p**3*w**5 + 16*p**3*w**4 - 7*p**3*w + p**3 + 30 wrt w.\nAnswer: 960*p**3*w**3 + 192*p**3*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-26)\/(-6) - 1)\/(2062260\/(-260496))\nAnswer: -8\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 138 + (-1 - (-5 + 8)) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2194 - -2194. Factor -4\/11*u**3 + 2\/11*u**2 + 0 + i*u.\nAnswer: -2*u**2*(2*u - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**2 - 23*a + 29. Let c be v(-24). Let k(s) = -115 + 3*s - 121 + 230. Give k(c).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -99 - 4877*h - 4886*h + 99 + 14652*h - 4886*h.\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 63139, 64065, 64991, 65917, 66843, 67769?\n\"Answer: 926*q + 62213","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41866?\nAnswer: 2, 11, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -389, -4038, -14217, -34190, -67221?\nAnswer: -116574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 14309 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61*o**3 - 292*o**3 - 136*o**3.\nAnswer: -489*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -8*v - 7. What is the remainder when s(-9) is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19\/((-85215)\/(-41998)) - 56\/6.\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(272) - sqrt(272))*-3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 2 + 5*y**3 - 4*y**3 - 10*y**2 + 12*y - 11. Suppose -117 + 45 = -8*t. What is the tens digit of k(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-30)\/((i*i**(-2))\/i*i)*(i\/i**(2\/19))\/i*i*i**(-32)*i)**(-49) assuming i is positive.\nAnswer: i**(55027\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*p - 3*p**3 + 0*p + (2*p - 2*p + 5*p**2)*(p - 2*p + 0*p).\nAnswer: -8*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(1\/2)*(2\/4)\/(53331\/(-3678)).\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 1432 divide 902822846?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 127 or 133?\nAnswer: 127","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -3, -6, -9?\n\"Answer: -3*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 47730.84um to centimeters.\nAnswer: 4.773084","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4, 1\/34, 0, 3, 271?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1953, -3621, -5289, -6957, -8625?\n\"Answer: -1668*j - 285","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v + 43. Let d be -6 + (3 - 0) + 25. Let s = 37 - d. Calculate the remainder when k(0) is divided by s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes before 4:45 AM?\nAnswer: 9:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000047847306 to 6 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(1331) - (-2 + 3*sqrt(1331)))*-6 - ((4*(sqrt(704) + sqrt(11)))**2 - sqrt(2695)\/sqrt(5))).\nAnswer: -85608 + 834*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 2 = -5*n, 4*n + 5*t - 10 = 9*n. Suppose x + 566 = h, n = 4*h - 2*h - 4*x - 1138. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37 = -5*g - 2*z, 33*g + z + 26 = 29*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 432629423?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -364 = -4*l - 4*s - 88, 0 = -2*l + 4*s + 126. What are the prime factors of l?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 31297 and 6787767.\nAnswer: 1841","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1\/3))**(-29)\/((y*y**(2\/11)*y)\/(y**(-5\/4)*y))*(y\/(y*(y\/(y*y**7*y*y))\/y*y)*y)\/(y**(-3\/2)\/y)*y*(y**2\/y)\/y*(y\/y**(3\/2))\/y assuming y is positive.\nAnswer: y**(2539\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times 0.01?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 take away 13157?\nAnswer: -13164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16112 - 112790\/7. What is the nearest to 1 in -0.182, f, -2?\nAnswer: -0.182","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/9)\/((-68)\/(-51))\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/1320*-158 - (-450)\/(-825) - (-5)\/4.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0, -5\/2, -0.7, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -33656 times -10614?\nAnswer: 357224784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/3*59\/236.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:00 PM and 4:03 AM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Total of 286.16 and -0.0873.\nAnswer: 286.0727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1810.648 + 0.352. Let j = 1815.212 - o. Let t = j + 0.088. What is t rounded to zero decimal places?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2658771, -2658769, -2658767?\n\"Answer: 2*n - 2658773","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -915*d - 901*d + 2697*d - 1 - 879*d + 1 + 2*d**3.\nAnswer: 2*d**3 + 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.2, 0.0455, 0.1, -19?\nAnswer: 0.0455","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-90)\/10 + 15 + (4 - (-11 - 2))?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -0*r - 6. Suppose v + 1 = 0, r*g + 8*v - 4*v = -2. Let o(d) = -3*d + 1. Determine o(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 114 (base 5) in base 14?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 + 3. Calculate the remainder when 33 + (-1)\/(2\/o) is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the first derivative of -j**4\/2 + 5*j**2\/2 + 5. Find the second derivative of r(k) wrt k.\nAnswer: -12*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 223852861 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -18*r + 67. Let i(o) = -29*o + 102. Give 5*i(u) - 8*n(u).\nAnswer: -u - 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 1 = -11. What is the second smallest value in -1\/5, w, -4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/7446075 and 36\/5?\nAnswer: 7446075","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1021, 1980, 3045, 4222, 5517, 6936?\n\"Answer: h**3 + 47*h**2 + 811*h + 162","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 205 + -167. Let y = 396 - j. What is y rounded to the nearest 10?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*(l\/((l\/l**(-2\/7))\/l))\/l)**(3\/43)*((l*(l\/(l\/(l*l*l\/(l**(-2\/13)*l)*l))*l*l)\/l*l)\/l*l)\/(l*l\/l**10) assuming l is positive.\nAnswer: l**(55579\/3913)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 360469?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/9*-3 + 11. Let x = -5 + v. Suppose -x*j + 20 = j. Is j even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 811102?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -122 - -126 - (7 + 1 - 3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + 4 + sqrt(637) - 3*(sqrt(637) - (2 + sqrt(637)))) + 4 + (sqrt(637)*-3 + 2)*-2)**2.\nAnswer: 1274*sqrt(13) + 31382","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 2*s**3\/13 + 1450*s**2\/13 - 407826*s\/13 - 1236474\/13 = 0.\nAnswer: -941, -3, 219","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5699 + 5683. Is -536\/31 at most as big as p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the first derivative of 4*k**6\/39 - 42*k**5\/65 + 37*k**4\/26 - 16*k**3\/13 + 4*k**2\/13 + 2305. Let b(y) = 0. Calculate y.\nAnswer: 0, 1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -9*v**2 + 38*v + 76. Let k(c) = 5*c**2 - 20*c - 38. Let w(n) = -6*i(n) - 11*k(n). Let s be w(-8). Which is smaller: 2 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 0 + 5)*(8*c - 9*c - c)*((6 + 0 - 4)*(0 - 2 + 0) + 2 - 4 + 1)*(c**2 - 2*c**2 - c**2).\nAnswer: -20*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62945.\nAnswer: 5, 12589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 17512 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 280588 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 q = -7 - -12. Let r be (-6)\/(-10) + 2\/q. Solve 0 = 4*g - r - 15 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x + 22. Let h be m(0). Suppose 2*g - 3*j = 89, -106 = -3*g - 0*j - j. Factor -g*r**2 + 19*r**2 + 8 + 12*r + h*r**2.\nAnswer: 4*(r + 1)*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b + 25, -5*c + b + b = -235. Suppose -38*x + c = -33*x. List the prime factors of x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/1)\/(-60)*180\/24\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6391789 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61305 = -7*k + 33517. Does 18 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 = -4*h + 63. Let y be (-1 - -74)\/(2\/h). Let c = y - 65. Does 7 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(10\/(-13)) + 4\/10. Let p be 170\/b + (-20)\/30. Calculate the highest common factor of p and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -58 + 60. Suppose -c + 0*c = 0. Solve -4*b = 5*y - 22, -2*b + c = -4*y + t for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1360, -1 in descending order.\nAnswer: 1360, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5.967841 + -17.967836. Let d = r - -12. What is d rounded to five decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 0.3, 23, -10, -1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 75*i + 557. What is k(-8)?\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-328)\/246)\/(-1 - (-4)\/6). Suppose 0 = -4*w + 5*m + 118, v*w - 3*m - 114 = -0*w. Does 5 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t = 5*g + 9 + 18, 5*t + 4*g = -27 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1216.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + (-7 - (-16 - (-1 + -3))) + 3 + 19?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tkb when three letters picked without replacement from pbpppbtkptsbt.\nAnswer: 3\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnwdnwudun. Give prob of sequence dn.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 402, 394, 380, 360?\n\"Answer: -3*g**2 + g + 404","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 equal to -10\/203?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 1 + 7 + (765 - 780) + 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1155101012 divided by 3?\nAnswer: -1155101012\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1807208 * -0.2.\nAnswer: -361441.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -2\/3, 0, -33, -6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -371 - -751. Let j = q + -380.1. What is the nearest to j in 2\/9, 0.2, -43?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**2 + 2*n - 12. Let p(u) = u**3 + 18*u**2 - 5. Let y be p(-18). Let q be v(y). Let s(c) = 9*c + 100. Let t be s(-11). Solve -4*b + q = -t for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((q**2 + 1 - 1)*(0 - 3 + 1) - q**2 - 3*q**2 + 2*q**2)*(0*q**2 + q**2 + 2*q**2).\nAnswer: -12*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*u + 12*u - 7*t - 19322, 0 = -3*u - 5*t + 11630. What is the greatest common divisor of u and 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jcxjxexwjw. What is prob of picking 2 w and 2 j?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 333*n**3 - 222*n**2 + 111*n + 111. Let x(r) = -2*r**2 + r + 1. What is -u(j) + 111*x(j)?\nAnswer: -333*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -173, -185, -197?\n\"Answer: -12*j - 161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1973316270.\nAnswer: 2, 3, 5, 65777209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 4*f**3 + f**2 + f. Let v be n(2). Factor -26*x**2 - 4*x**3 - v*x**2 + 84*x**2 - 16*x.\nAnswer: -4*x*(x - 4)*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d - 9. Let w(p) = 10*p + 8. Let g(o) = -3*o. Let b(i) = -3*g(i) - w(i). Let s = -16 + 9. Give s*b(n) + 6*c(n).\nAnswer: n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(1\/3)\/(u**4\/u)*(u**1)**(-2\/3))\/(((u**(1\/3)*u)\/(u**5\/u))\/(u**(-4)\/((u\/(u\/u**(1\/6)))\/u))) assuming u is positive.\nAnswer: u**(-23\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 99 = 5*g + 4*x, 4*g - 1149040 + 1148966 = 2*x for g.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7827598437 to the power of 1\/2, to the nearest integer?\nAnswer: 88474","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from {d: 15, a: 4}?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-23 + 17)*44\/297 + -2.\nAnswer: -26\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8910 bigger than -8971?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**2 - 2*h - 1.\nAnswer: -(h + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/11, -4, -297?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -479*w - 409*w + 161*w - 388*w to c*w + z and give c.\nAnswer: -1115","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dtr when three letters picked without replacement from {d: 2, r: 3, q: 1, t: 1, w: 3}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 607179150269 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 22256 (base 7) to base 5\nAnswer: 140002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 16, -5, 11082\/13, -3, -0.2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -833 + 1528. Suppose -5*d + g = -120. Suppose -d = 3*f - 4*f. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -35, -20, -7, 4?\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2615789?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 851 a factor of 754837?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w - 14. Let n be b(-26). Solve 3*z = 6*z + n for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 142073 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -252*c = -400*c - 3108 for c.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the third derivative of -s**6\/210 + 22*s**5\/105 - 38*s**4\/21 + 48*s**3\/7 + 190*s**2. Solve i(g) = 0 for g.\nAnswer: 2, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + 18*n + 574 = -0*y + 3*y, 3*n + 93 = 3*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -109663, -219233, -328803?\nAnswer: -438373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 6*r**3 + r. Let q be d(-1). Let h(o) = -o**2 + 9. Let f be h(q). Let n be (24\/32)\/((-6)\/f). Let t(x) = x**2 - 3*x - 3. Give t(n).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-474)\/(-1027)*13\/3*23*6\/(-4)?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(1 + sqrt(539)) - sqrt(539)) + 1)**2 - ((sqrt(11) - sqrt(176))**2 + -4 + 4*sqrt(1331) + sqrt(1331)).\nAnswer: 435*sqrt(11) + 13429","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4600231 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 m when three letters picked without replacement from fmfmmfffffff?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of i**5 + 81*i**3*q + 2*i*q + 90*i + q wrt i.\nAnswer: 20*i**3 + 486*i*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 6}. Give prob of picking 2 x.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + q = 2*q - 3, 5*n = -3*q + 7. Solve -1 = s - n for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-26)\/182)\/((-2)\/(14\/3))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10039 + 10039.13. Put -1\/5, q, -6, 10 in increasing order.\nAnswer: -6, -1\/5, q, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20)\/8*4\/2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -y - 207, -2*y + 0*z - 417 = -z. Let w = -27 - y. Suppose -w = -c - 4*u, -3*c + u - 2*u = -554. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the third derivative of l**4\/12 + 31*l**3\/3 - 2*l**2 - 20*l - 4. Give s(-36).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fffffofffoofffooof. Give prob of picking 2 o.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.558421 kilograms in tonnes?\nAnswer: 0.008558421","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1554276007.\nAnswer: 211, 421, 17497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 17518 times 3.632\nAnswer: 63625.376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a litre in millilitres?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -5*g**3 + 3*g**2 + 3*g + 2. Let o be x(2). Which is smaller: o or -19?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 2*a**2 - 4*a - 18. Suppose 11 + 97 = 3*z. Suppose -37*w = -33*w - z. What is the units digit of o(w)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-108)\/(-10)*(-3520)\/(-24).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21 - 13 - 7 - 5*a)*(0 + 0 + a**2).\nAnswer: -5*a**3 + a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -99 or -32019\/326?\nAnswer: -32019\/326","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 342, 2573, 8574, 20229, 39422, 68037, 107958, 161069?\n\"Answer: 314*u**3 + u**2 + 30*u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/24 of a minute in milliseconds?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 11 and 5.49554?\nAnswer: 60.45094","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ke when two letters picked without replacement from {k: 3, e: 13, j: 3}?\nAnswer: 13\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 - 31304110?\nAnswer: -31304101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4798?\nAnswer: 2, 2399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 2*c**2\/11 - 3838*c\/11 - 1704504\/11 = 0.\nAnswer: -372, 2291","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 272*m + 1576 + 1688 for m.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -13.55859 to the nearest integer.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 144 and 21600.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -0.032654, 492 in descending order.\nAnswer: 492, 0.1, -0.032654","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -256179 or -12040399\/47?\nAnswer: -256179","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + -5. Let o(k) be the second derivative of -k**3 + 5*k**2 - 6*k + 6. List the prime factors of o(q).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1053800?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8.63 + -10.63. Let i = -5626\/19 - -296. Which is the closest to i? (a) 4 (b) q (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 14402, 14403, 14404, 14405?\n\"Answer: u + 14401","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10 and 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5305 divided by 5305?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4610?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0\/2 + 3\/(-8). Let v = -19.12 + 27.03. Let p = v - 7.9. Put -4, s, p in descending order.\nAnswer: p, s, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1091 + 5907 = 112*b for b.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*d = 3*d + 684. Calculate the common denominator of -1*7\/(-36) - 18\/d and -71\/28.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*d = -35 + 7 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20021313211 (base 4) to base 3.\nAnswer: 11000121012101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 95 = b, 264 = -3*b + 6*b + r. List the prime factors of b.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-15)\/5)\/((-117)\/(-17) + (-26)\/(-221)). Which is the fourth biggest value? (a) -0.2 (b) -29 (c) 3\/7 (d) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-15))\/(1\/(-3 - -2)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 531654337 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:02 AM and 1:48 PM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 125875 is divided by 281.\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32637.\nAnswer: 3, 11, 23, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8293.318km to centimeters.\nAnswer: 829331800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 a factor of 152211?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (0 + -6 + 2)*2\/(-4)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.87314653 + -2.12685362. Let w = o + 5. What is w rounded to seven dps?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 21*y**4 - 36*y**3 + 749*y**2 + y.\nAnswer: 504*y - 216","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.29 - -1.71. Let z = h - 1.6. Let y be (-4)\/9*6\/20. Sort z, 4, y in ascending order.\nAnswer: y, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8, -29, -58, -89, -116, -133, -134?\nAnswer: -113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79*k + 5*k = 1260 for k.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 114406286 a multiple of 119?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**3 - 8*y**2 + 9*y - 3. Suppose 0 = 2*c - 2*a - 10, 3*a + 2 - 8 = 0. Let s = 17 + 15. What is the remainder when s is divided by h(c)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11851*m + 395325 = -5010*m + 4454*m for m.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 701 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: Let x = -6 + 7. Let d(f) = -9*f + 1. Let c be d(x). Let l(h) = h**2 + 5*h - 4. Is 20 a factor of l(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -8*n + 1 - 11*n + 20*n. What is m(-5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 194761932.\nAnswer: 2, 3, 19, 37, 23087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 198 - 138. Does 20 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o - q - 72, -24*o + 21*o - 3*q + 18 = 0. Suppose 0*m + 3*m - 1131 = 0. Calculate the greatest common divisor of m and o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100*w = -12639251 + 12631051 for w.\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-19)\/(-1) + 4237\/(-223). Is -19\/757 not equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes before 5:00 AM?\nAnswer: 11:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 6, -2\/5, -3, 2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3556 + 0?\nAnswer: 3556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -2*(-3 + sqrt(1088)*1 + 2 + sqrt(1088)*2 + 4)**2*-3.\nAnswer: 864*sqrt(17) + 58801","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000056583 rounded to seven dps?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11409 and 21102847?\nAnswer: 3803","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 994127268?\nAnswer: 2, 3, 47, 1762637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-584)\/12848 + (-1 - (-1359)\/1342).\nAnswer: -2\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uikxjju. What is prob of sequence jiu?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 8\/13, 6, 3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4854*b - 5*b**2 + 3*b**2 + 4598*b - 1)*(b**2 - b**2 - b**2) as z*b + w + v*b**2 + x*b**4 + l*b**3 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/6)\/(18\/912*19)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1372904.\nAnswer: 2, 13, 43, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -71 (b) 1 (c) -1 (d) -2\/3 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1079 - 1077. Let u be (2*-3)\/(-1 + -1). Let a(z) = -6 + 9*z - u + 7. What is a(c)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*a**2*j*p*r - a**2*j*p - 84*a**2*r - 2*a*j*p*r - a*r - 2*a - 2*p*r wrt a.\nAnswer: -4*j*p*r - 2*j*p - 168*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 102?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, r: 2, s: 1, a: 3, y: 1, v: 3}. What is prob of sequence vs?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4 + 32258.61566.\nAnswer: 32258.21566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-27*(-24)\/18)\/(9 + (-28 - -17))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes before 6:09 AM?\nAnswer: 8:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2677\/4 + -667. Let x(v) be the first derivative of 0*v**2 + 0*v**3 - 12 + 16*v + i*v**4. Differentiate x(r) wrt r.\nAnswer: 27*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -59710681 by -113303.\nAnswer: 527","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 55891, 54588, 53285?\nAnswer: 51982","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minus -6441.19?\nAnswer: 6562.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*f**6 - 595580*f**4 + 2345485*f**2 wrt f.\nAnswer: -600*f**3 - 14293920*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 2*f - 106 = -3*w, 5*w - 126 = -4*f. Suppose -5*l + w = -14. Calculate the lowest common multiple of l and (-6*1\/(-8))\/(-17*(-12)\/4896).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10.398 + -11.998025. Let d = w - -1.6. Round d to 5 decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v - 7*m = 221, -12*v + m - 3 = -19*v + 4 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-98)\/(-12) + -8)\/107. Let x = t - 161\/321. Let v = -0.1 - -0.6. What is the biggest value in 0.1, v, x?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 2162863?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16404, 16409, 16416, 16425, 16436, 16449?\nAnswer: 16464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppp when three letters picked without replacement from {p: 4}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -19*f**3 - 9*f**2 + 16*f - 1. Is j(-6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1729\/10 - 347\/2. Let a be 7\/(-5) + 4\/10. Let h = -0.2 - -0.7. What is the nearest to a in h, -2\/7, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-20)\/(-8) + -3)*6. Let u be (-5)\/25*5\/l. Factor u - 5\/6*o + 1\/2*o**3 - 2\/3*o**2.\nAnswer: (o - 2)*(o + 1)*(3*o - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes before 5:44 PM?\nAnswer: 4:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -3*v + 34. Suppose -18 = -d - 0*d. Calculate the least common multiple of d and v.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -109\/4 in 1, 2, 23, 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -2 + sqrt(176))*-2*3*-2.\nAnswer: -36 + 48*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2575624 to the power of 1\/2, to the nearest integer?\nAnswer: 1605","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -12117, -24327, -36549, -48789, -61053, -73347, -85677?\n\"Answer: -d**3 - 12203*d + 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (-16)\/(288\/(-27))*(-32)\/12?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 128, 109, 3\/7, -0.165?\nAnswer: 109","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2548291883 to the nearest integer?\nAnswer: 1366","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/103452 and 133\/4338?\nAnswer: 74795796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 23 and 100809.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 163 + -153. What is the common denominator of -29\/19 and 8\/l - (-19)\/(3990\/(-468))?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1100111101010 + -10011?\nAnswer: -1100111111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 3 = 0, z = -z - 2*q + 18. Let v = 6 - z. Suppose 2*s + 3*x - 16 = 0, 4*s - s + 5*x - 26 = 0. Solve v = -5*j + s*j + 6 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16474600*h**2 + 114*h**3 - 16474600*h**2.\nAnswer: 114*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**3 + h**2 - 1. Let k(d) = 47*d**3 - 17*d**2 - 3. Let j(o) = -k(o) + 6*u(o). Find the third derivative of j(v) wrt v.\nAnswer: -246","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -209, -5.29, -4, -2\/3, -2.\nAnswer: -209, -5.29, -4, -2, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**3 - 5*g**2 - 4*g + 4. Let h be f(-4). Suppose 7*l = 5*l + 6. Suppose -h = -l*i + 2. Solve 5*z = i*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-2\/19)*q**(-2\/11))**(-50) assuming q is positive.\nAnswer: q**(3000\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i**4\/4 - 2061*i**3\/2 - 105069*i**2\/4 + 51525*i\/2 + 657150 = 0 for i.\nAnswer: -1348, -26, -5, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 t, and 1 z when three letters picked without replacement from tytztemylmztmyezzmet.\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -181*m - 2398. Let i be y(65). Is -14163 at least i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 67788 and 224.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 - -2b?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1519.\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 482328.\nAnswer: 2, 3, 7, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -9*g**3 - 2*g - 6. Let j be v(-2). What is the greatest common factor of 10 and j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 479?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -3*u**3 + u**2 + 5*u + 9. Let p(b) = 2*b**3 - b**2 - 4*b - 8. Calculate -4*i(h) - 5*p(h).\nAnswer: 2*h**3 + h**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -543 + 122125?\nAnswer: 121142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the first derivative of 6*q**3 + q**2\/2 - q + 169. Let a be o(-1). Calculate the highest common divisor of 12 and a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 2*x, 4*c + 11*x - 5 = 6*x + 2*x for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 7 + 2)*(-3 + 1 + 9)*(9*o - o - o).\nAnswer: -49*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*y**2 + 20*y**2 - 14*y**2 - 321*y**3.\nAnswer: -321*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -6\/11, -0.4, -5 in descending order.\nAnswer: -0.4, -6\/11, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2090878.\nAnswer: 2, 173, 6043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 343 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0*((-8)\/(-14) + (-60)\/(-140)). What is the closest to -5 in 1, -5, -0.1, j?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1111633 (base 7) to base 16.\nAnswer: 2192e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*q**2 + 26*q**2 + 2*q**2 - 76*q**2 + 27*q**2.\nAnswer: 6*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 7465\/(-11944) + (-2295)\/40?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 1 s when three letters picked without replacement from {s: 2, e: 3, i: 2, j: 6, l: 6}?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4261536636?\nAnswer: 2, 3, 7, 431, 117709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1186030 times 661?\nAnswer: -783965830","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 12 + 246 = -q, -2*q - 468 = 4*c. Let m = -229 - q. Solve -m*i + 0*i - 20 = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 318 + -337 - (-4 + 4 + 1).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 42114.5624 - -20385\nAnswer: 62499.5624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 divided by 45?\nAnswer: -19\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2 - 1)\/(-3)*0. Suppose -5*d = -5*r + 20, a*d - 12 = -5*r - 3*d. Solve f = -0*f - r for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the first derivative of -3*s**2 - 1821. Let p(u) be the third derivative of u**5\/10 - 6*u**2. Calculate p(y(v)).\nAnswer: 216*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16\/5*g - 8\/5 + 2*g**2.\nAnswer: 2*(g + 2)*(5*g - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -53065, -424546, -1432857, -3396412, -6633625, -11462910, -18202681?\n\"Answer: -53069*q**3 - q**2 + 5*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1969?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1842.946 nanograms?\nAnswer: 0.000001842946","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(1936)*2*-4)\/(sqrt(40)\/(6*sqrt(80))*-1))**2.\nAnswer: 8921088","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express t**2 + 2*t + 0 - 2*t**3 - 17 + 36 as j + u*t + h*t**2 + q*t**3 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**3 - 6*o**2 + o + 3. Let m be c(5). Let i = -12 - m. Suppose i*j = -11 + 91. Calculate the least common multiple of 22 and j.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a**2 - 6334*a + 10029889 = 0 for a.\nAnswer: 3167","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**2 - 13*h + 1. Calculate f(-14).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17)\/(-204)*16\/12.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 6*u**2 + 5*u + 5. Let n(g) = -11*g**2 - 11*g - 11. Let j(h) = 11*a(h) + 5*n(h). Let q(y) = -11 + 13 - y - 2. Give q(j(f)).\nAnswer: -11*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 + 0. Let y(t) = -2*t**k - 4 + t**2 - 2 + 2*t**2 - 6*t. Suppose s + 9 = 16. Give y(s).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 2*p**2 - 12*p + 1. Let h be g(0). Let q = -10 - -17\/2. What is the closest to h in q, -0.3, -1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-18))\/(((-13706)\/198)\/89)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -10*p**2 + 233*p - 29. Suppose 31 - 137 = -5*a - 3*o, 4*o = -12. What is the remainder when 275 is divided by n(a)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourteeen ninths of a week in minutes?\nAnswer: 15680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 12\/25 of a litre?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 5*i = 64 - 60, 0 = l - i + 4. Sort -11, l, -40 in ascending order.\nAnswer: -40, -11, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 + -200120?\nAnswer: -200102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1175991 and 1356?\nAnswer: 339","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10.057119 + 37.057172. Let x = -27 + m. Round x to 5 dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 4*h**3 - 210*h**2 - 98*h + 583. Give g(53).\nAnswer: 1007","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33721.\nAnswer: 33721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.9 and 30623.5976.\nAnswer: 30624.4976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(0 + 0 + ((-1 + sqrt(5) + -1)*1 + (sqrt(240) + (2*sqrt(240) - sqrt(240) - sqrt(240)))\/sqrt(12))**2).\nAnswer: -36*sqrt(5) + 147","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(540)*-2)\/(sqrt(20)\/sqrt(196)).\nAnswer: -84*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 4 = -6*v. Suppose -r + 5 - v = 0. Is 4 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9730125 a multiple of 81?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7823.09 + -7642. Let j = -182 + n. Let g = -0.09 + j. What is the closest to g in -5, -1, -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 212 and 2014?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -403\/6, -23, 0.1, -6 in increasing order.\nAnswer: -403\/6, -23, -6, 0.1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -3*i**3 + 7560*i**2 + 7563*i = 0.\nAnswer: -1, 0, 2521","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-6)*-6*7\/2.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * -433931.\nAnswer: -216965.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -4*y + 2 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bro when three letters picked without replacement from ooeeoroeboefme.\nAnswer: 5\/2184","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 122\/(-42) + ((-364)\/(-39))\/28 and 29\/1349.\nAnswer: 9443","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of 37834?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -5*s**3 + 2*s + 1. Suppose f + f = -6, y + 2*f + 7 = 0. Calculate the remainder when (0 + 9 - 2) + -1 is divided by b(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 753307*k**3 - 753306*k**3 + 2*k**2 - 2*k**2.\nAnswer: k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 6*y. Let r(f) = -f**3 + 3*f**2 + 5*f - 3. Let n be r(4). Let u(z) = z. Let i(w) = n*g(w) - 4*u(w). Let t(a) = 5*a. What is i(t(h))?\nAnswer: 10*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 529, 532, 535, 538, 541?\nAnswer: 544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 4*p + 36 = 0, 4*p + 28 = 2*n + n. Solve n = -2*w + 4 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a milligram in micrograms?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -54\/295 in 49\/6, -0.5, 0.4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14743 + 14769. Suppose 0*a = b + 3*a - 63, 0 = 5*b + a - 301. What is the remainder when b is divided by g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**16)**33*o\/(o*o*o**(1\/3))*o*o**17*o assuming o is positive.\nAnswer: o**(1637\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4252 + -63733\/15. Calculate the common denominator of i and 7\/15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) -5 (c) -0.07 (d) 0.3 (e) -0.021 (f) -0.38\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-4) - (-50)\/4. Suppose 4*a - s = -4*i, 3*a - 3*i = 2*a - 1. What is the first derivative of 2*h**a - 2 + 3 - 3 wrt h?\nAnswer: 4*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + 17 = -4*z, -3*z - 12 - 3 = -3*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*u + 66*u + 50 = 0 for u.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 80938 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19045908 = 45*c - 871*c. What is the hundreds digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**3\/4 + 2409316*u**2 - 67460897*u\/4.\nAnswer: u*(u - 7)*(u + 9637271)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -5 - -4*(-565)\/(-20). What is the highest common divisor of 189 and y?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -7\/12, -0.5, 0.1?\nAnswer: -7\/12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -2517*v + 7562. Give i(3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 4*j**2 - 5*j + 2. Let q(a) be the second derivative of 5*a**4\/12 - 7*a**3\/6 + a**2 - a + 7. Let p(z) = 6*k(z) - 5*q(z). Calculate p(7).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 1c2ad (base 14) in base 15?\nAnswer: 16479","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 866 is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v - 4*v + 3*v)*(-3*v**2 + 3*v**2 - 2*v**3) + (2*v**2 - 4*v**2 + 4*v**2)*(-1040*v - 64*v**2 + 1040*v).\nAnswer: -132*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2)\/((-20)\/(-3)))\/((-2)\/(-10)). Let f = 0.002 - -1.108. Let c = f - 0.11. What is the nearest to -1 in c, z, -2\/5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -700*i**4 - 9*i**3 + 64496?\nAnswer: -2800*i**3 - 27*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 + 0 + -5 + 272 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (33\/(-15312))\/(((-3)\/(-72))\/((-72)\/108)).\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n - 4*v - 16, 0*n - 4*v = -n + 12. Solve -5*j = 4*f + 9, -4*f = -5*j - n + 3 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3599*1061.\nAnswer: 3818539","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (1793\/(-77) - -23)\/((10\/182)\/5)\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 not equal to 1\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 241525 - 74631145\/309. Is q at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a minute in seconds?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -3 (b) 4\/13 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes before 8:04 PM?\nAnswer: 6:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-18)\/(-8)*(-11174)\/(-39411) and -53\/290?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -50 - -68. Let o(d) = -6 + x*d - 3 + 9*d**2 - 36*d + d**3 + 9*d. What is the tens digit of o(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 300 + -265. What is the smallest common multiple of y and 14?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 71370338?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -25 - -12. Let q = y + 22. Suppose 4 = 6*n - 56. Which is bigger: q or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30137 - 47292 = 365*m for m.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 392\/48 + -6 - 2\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 40 - 11*w**3 - 25 - 3*w - 38 + 0*w. Let a(l) = 4*l**3 + l + 8. Calculate 17*a(y) + 6*m(y).\nAnswer: 2*y**3 - y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 410, 770, 1032, 1148, 1070, 750?\nAnswer: 140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23 - 13 - y - 22)*(0*y**2 - y**2 + 0*y**2).\nAnswer: y**3 + 12*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 13d6847 + 2?\nAnswer: 13d6849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 2*n**2 + 4*n. Let x = -2 - -5. Let s be r(x). Let f be 6\/(-3) - (0 - 12). Calculate the highest common factor of s and f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23.7039165 rounded to 2 dps?\nAnswer: -23.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 78*k**3 + 36*k**2 - 36*k + 36. Let v(l) = 2*l + 291*l**2 - 11*l**3 - 296*l**2 - 5 + 3*l. Determine 5*r(u) + 36*v(u).\nAnswer: -6*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3*(-11)\/15 - 2. Is a smaller than 1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 40 + 1433202?\nAnswer: 1433242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.53 plus 4.41?\nAnswer: 0.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 54299512.73 to the nearest 10000.\nAnswer: 54300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99012 = 5*h - 3*g, -3*h + 9864 = 5*g + 69278. Let y = h + 28001. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7033006 hours to microseconds.\nAnswer: 2531882160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**2 - 6*n + 5. Let q(m) = 3*m - 3. Let b be q(3). Suppose -4*f - b = -3*f. Let z be y(f). Calculate the highest common divisor of z and 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 + ((-14 - -13) + -1 + -3 - 0)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*p**5 + 6105*p**4 - 4*p**3 - 2*p**2 - p + 2531.\nAnswer: -120*p**2 + 146520*p - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.082 and 13.\nAnswer: 1.066","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = r + 3*x, -4*r + x = -20 + 2. Suppose 0 = 5*m + 2*p - 6, 0*m + r = m - p. Suppose 18 = m*j - 0*j. What is the remainder when 25 is divided by j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/((-3)\/(-16)) - 4. Suppose -2*y + 2 = q, 4*y = -x - 15. What is the second derivative of 6*n + 3*n - 16*n**5 + n**x wrt n?\nAnswer: -300*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -8 + 11 - 2*1\/(-2). Solve 5 - s = -c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28340\/36 + (11\/(-9) - -1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 20 = 4*m, m + 3*j = 11 + 1. Suppose m = -2*i - 1 + 7. What is the remainder when 6 is divided by i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 40 = 3*h. Let x(k) = k + 7. Let n be x(h). Let y = -1\/15 + -2\/15. Which is the closest to n? (a) 1 (b) 0.2 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*s + 54 = 37*s. Solve -j + 4 = s*g + 3*j, -5*g = -2*j + 2 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 627 + 330 = 0. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1207\/5 + -2039\/10. Calculate the common denominator of 107\/26 and z.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -121 + -223?\nAnswer: -1010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 412 - -164. Is z a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 12*x - 10*x + 3441, 2*x + 6874 = 2*n. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -115 (base 9) in base 7?\nAnswer: -164","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -10426.794 rounded to the nearest 100?\nAnswer: -10400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(9\/5)*w**(7\/6)*w*(w**14)**(-3\/7))**(5\/2) assuming w is positive.\nAnswer: w**(-139\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -4, -2, 0.3, 241?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l = -2*l + 4*m - 132, 4*l - 3*m = 111. What is the greatest common divisor of l and 120?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 76968148?\nAnswer: 2, 281, 68477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 16 = 4*k - f, -4*k - 2*f = 0. Suppose p = k*i - 0*i - 17, 4*p - 4 = 0. Let u = 197 - 98. Calculate the highest common divisor of i and u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 18*q**2 - 191.\nAnswer: 36*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - 1 - (60 + -58 + 28 + -34)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22 + -44 + (7 - (0 + -4)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1055 (base 7) in base 6?\nAnswer: 1435","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -6*u**3 - u**2 - 3. Let s be n(-2). Which is smaller: 40 or s?\nAnswer: 40","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 116, 523, 1220, 2207, 3484, 5051?\nAnswer: 6908","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/11? (a) 1\/2 (b) 35 (c) 3 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*p**2 - 10*p**2 - 161*p**4 + p + 4*p + 437*p**4 as y + o*p**3 + k*p + c*p**2 + i*p**4 and give k.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u**3\/5 - 6011286*u**2\/5 - 4516929893472*u\/5 + 4516959949952 = 0. Calculate u.\nAnswer: -1502824, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 883 is divided by 23.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -732\nAnswer: 1\/732","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 328187, 328186, 328185?\n\"Answer: -m + 328188","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*a + 2405*a = -68556 for a.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -59627095*s**3 + 25198150 wrt s.\nAnswer: -178881285*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 57576, 57579, 57582, 57585, 57588?\nAnswer: 57591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from zczzczczcczzzczzzz.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -19*s + 28. Let d be n(-21). Let u = -213 + d. Suppose 0 = -2*k - 2*k + 2*t + 234, 0 = 4*k + 2*t - u. What is the tens digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 6*y - 3*y + 1 + 0*y. Let w = 10 + -7. Let h be d(w). Solve 4*j + h = 2*a, 0 = -2*a - j + 4*j + 6 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 2047?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 582 + -1378. Sort 2, l, 4 in increasing order.\nAnswer: l, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -47*f**3 + 3*f**2 + 25*f**3 - 2*f**4 + 21*f**3 as r*f**4 + q + y*f**2 + v*f**3 + t*f and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*j + 54 - 195 - 153 = 0 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(135) + -3*-2*sqrt(135))\/sqrt(9))\/(sqrt(10)\/sqrt(2)*-6 - sqrt(45)*-3).\nAnswer: 7*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 780 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: Two letters picked without replacement from {i: 2, a: 1, p: 1, h: 4, k: 2}. Give prob of picking 1 p and 1 h.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 130 + -110. Suppose -212 = 2*w - 6*w. Calculate the least common multiple of 4\/m*0 - -4 and w.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a millennium in years?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -166 - 7*w**2 + 41 + 125.\nAnswer: -7*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -6 - (-81)\/15 - 56\/(-10). Suppose -b*m + 445 = -a, 2*m - 3*a - 108 = 57. Is 10 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 33\/1084 and 37\/112.\nAnswer: 30352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 9) in base 6?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 22139 to the power of 1\/4, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -29*b + 1. Let p be g(-1). Suppose -17*r + 20*r - p = 0. Is 5 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 263, -1\/4, -0.1, 0.3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1227 - -1231. Suppose 2*a + 30 = 5*v - 3*a, -2*v + 2 = 3*a. Suppose 5*y - 15 = 0, -415 + 19 = -v*o - w*y. Is 22 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 6 = -f. Suppose -3*p = -3*b - 198, f*b = -p + 73 - 16. Suppose -61*l + p*l = 20. Solve 6*v - 4*v + l = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43963 + 43963 + 2*u**3.\nAnswer: 2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*s - 4250 = -4630 for s.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7550?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 83 + -69. Suppose 0*g + 195 = 5*g. Calculate the remainder when g is divided by x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence chv when three letters picked without replacement from {c: 5, h: 1, v: 4, p: 4, f: 1}.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 55109.11 grams to nanograms.\nAnswer: 55109110000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**3 + 9*m + 152*m**2 - 10*m + 4*m - 154*m**2. Let c(q) = q + 5*q - 2*q + 2*q**3 - 3*q**2. Calculate -6*b(r) + 4*c(r).\nAnswer: 2*r**3 - 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -616*y - 614055 - 613*y + 1227*y.\nAnswer: -2*y - 614055","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3 - -3*2) + 2. Suppose -z*i + d - 290 = 5*d, -172 = 3*i + 2*d. Let s = 86 + i. Is s a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5796973 a multiple of 155?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 10*x**2 + x. Let c(r) = 4*r. What is c(g(a))?\nAnswer: 40*a**2 + 4*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**3 - 11*q**2 - 22*q - 15. Let m be x(13). Factor -22*a**2 + 34*a - 16*a**2 + m*a**2.\nAnswer: -a*(a - 34)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 237198*h**3*m + 2*h**3 + 25*h**2*m - 936*h**2 - 3*h wrt h?\nAnswer: 1423188*m + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2393 - -2486. Calculate the remainder when d is divided by 34.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 + -12212020022?\nAnswer: -12212020022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1086000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -63, 5, 4, 1, -34 in descending order.\nAnswer: 5, 4, 1, 0, -34, -63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a second in milliseconds?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-128950)\/15)\/(-10)*3 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/77 and 53\/7.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 + 6)\/3 + (126 - 133). Is 616 < w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/4648765 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*z + 6 = -5*i, -4*z - 9 + 25 = 4*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 7 (b) 3 (c) 2\/13 (d) -131 (e) 29\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2047509, 4095017, 6142525, 8190033, 10237541, 12285049?\nAnswer: 14332557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbzbqiziqiqbiiiz. What is prob of picking 1 i, 1 q, and 1 z?\nAnswer: 27\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k + 3*k + 3, 0 = 3*y + k - 999. Let o = 685\/2 - y. Calculate the common denominator of 2\/9 and o.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4 + (-35)\/10)\/(4\/16). Let k = 6 - 1. Suppose 2*l + 24 = k*l. What is the greatest common factor of l and w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the second derivative of p**5\/20 + 3*p**4\/4 - 3*p**3\/2 + 3*p**2 - 134*p. What is u(-10)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (1 + sqrt(605) + 2 - -1*(-1 + sqrt(605))))**2.\nAnswer: -132*sqrt(5) + 2429","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cieqieikqqqiqjiq. What is prob of sequence qqjk?\nAnswer: 1\/1456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*o**2*r**3 + 13*o**2*r - 141*o**2 - 63*o*r**2 - 430*r**3 wrt o.\nAnswer: -6*r**3 + 26*r - 282","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rd when two letters picked without replacement from rdrddddddr?\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**3 - 1331224*n**2 - 443039334544*n.\nAnswer: -n*(n + 665612)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -730574 equal to -730573?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (372\/1395)\/(28\/30)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 156 - 215.53966.\nAnswer: -59.53966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 + 3)*(2*r + 5 - 5)*(5 - 2*r**2 - 5)*(-27 - 7*r + 27).\nAnswer: 28*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24198 is divided by 191?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*k**2*l**2 + 3*k**2*l - 2*k*l**2 + 199*k*l - 11*k - 405*l**2 wrt l.\nAnswer: -14*k**2 - 4*k - 810","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1825\/(-2555)*1\/(-5).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 24*s**5*z**2 + 3*s**5*z + 103*s*z**2 wrt s.\nAnswer: 480*s**3*z**2 + 60*s**3*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -272 - -273.19. Let x = 1.19037 - m. Round x to four decimal places.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-15)\/(-6))\/5*16\/(-2))\/(70\/155).\nAnswer: -62\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001257 rounded to seven dps?\nAnswer: 0.0000126","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -84*c**2 + 27*c - 45. Give x(2).\nAnswer: -327","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the third derivative of -l**7\/6 - 17*l**5\/60 + 5*l**2. What is the third derivative of u(z) wrt z?\nAnswer: -840*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g - 3*z - 14 = -0, -5*g = 5*z + 20 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1242.3 and -0.5.\nAnswer: 621.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + -14 + 2 + 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 443 = -117. Suppose 3*f = -92 + p. Is 4 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 + -2. Suppose j = -5*p - 17, -3*p - 25 - 14 = -3*j. Suppose -3*g - 4*t + 5 = -j*g, -2*g + 4*t - 2 = 0. What is the second smallest value in g, q, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3d0c4 (base 15) to base 8\nAnswer: -576536","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve j = 4*c + 11, -3*c - 3*j + 1062 - 1089 = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/876 and -7\/118689?\nAnswer: 34657188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 990 by 198.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -23*d + 99 + 39. Suppose 4*q = -q + 1050. Suppose d*w = w + q. What is the remainder when w is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13850 (base 12) to base 9.\nAnswer: -41186","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 5, k: 1, d: 2, r: 1, v: 1}. Give prob of sequence vw.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cet. What is prob of sequence tce?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*w**2 + 156*w - 160.\nAnswer: 4*(w - 1)*(w + 40)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/((-1331)\/(-99) - 13). Let i(o) = o**3 - 10*o**2 + 10*o - 4. Determine i(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 117575044 to the power of 1\/2, to the nearest integer?\nAnswer: 10843","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 492166582 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b - 50 = 5*h, 28 = -4*b - h + 3 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -237 (base 10) to base 4.\nAnswer: -3231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 - -113?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 17 = 2*l - 1, 14 = -2*l + 3*y. Let n(u) = -15*u**2. Calculate n(l).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes after 4:34 PM?\nAnswer: 8:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v. Let y(k) = 303*k + 2. Give z(y(l)).\nAnswer: 303*l + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uua when three letters picked without replacement from auuaaaaguauua.\nAnswer: 35\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2999d4 (base 14) in base 10?\nAnswer: 1448038","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 165*p**2 + 3*p - 2. What is the units digit of w(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21020521 to the power of 1\/3, to the nearest integer?\nAnswer: 276","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -40\/33661 and -31\/410.\nAnswer: 336610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31011 - 66405 = -2588*b + 60362 for b.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 22 and 2794.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -262, -612, -1004, -1456, -1986, -2612?\n\"Answer: -3*r**3 - 3*r**2 - 320*r + 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 - -9de6?\nAnswer: 9dea","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**3 + 2883*o**2 + 490836*o + 18441280.\nAnswer: (o + 55)*(o + 124)*(o + 2704)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 3*t**2 + 2*t + 1. Let q be y(3). Suppose 4*x - 2*k - k = q, 0 = 3*x + 3*k - 15. Suppose -x = -a - s - 1, a + 2*s = 10. Solve a*j - 16 = 6*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (40 - 32) + -2 + -18 + 7 + 59?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = r - 22 - 48, -2*n = 5*r - 51. Suppose w - 5*z = 2*w - 30, -2*w + z + 82 = 0. Let c = w - n. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and -41.\nAnswer: -16.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4984729 + 2338729. Round l to the nearest one hundred thousand.\nAnswer: -2600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5581*r**4*v**3 - 79*r**4 + r*v**3 - 541096*r*v**2 wrt r?\nAnswer: -66972*r**2*v**3 - 948*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*o**2 + 0*o**2 - o**2 + (39*o + 93 - 93)*(o + 1 - 5 + 2).\nAnswer: 42*o**2 - 78*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6754 and 727590?\nAnswer: 8003490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 42853\/50 - 857. Is -1 greater than or equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 72 (base 8) to base 13.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 43, 193, 451, 823, 1315?\nAnswer: 1933","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 - 2\/9*f**5 - 2\/3*f**4 + 2\/3*f**2 + 4\/9*f - 2\/9*f**3 = 0. Calculate f.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33 is divided by 26?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u**8\/u)\/u**(1\/6))**(-2))**0)**(-7\/9) assuming u is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and -0.015?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*v + 6*v + 5*v - v + 2*v.\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = b + 20, -18 = 2*u - 0*u + 3*b. Calculate the common denominator of 55\/18 and ((-1041)\/180 - u)*2.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85036*w = -84930*w + 3604 for w.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 182\/42 - (-6)\/9. Suppose -6*j - n*c - 1376 = -7*j, -5*j + 5*c + 6780 = 0. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1055 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -105*z**2 - 440 + 221 + 215 to a + b*z**2 + h*z and give a.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 351 divided by -27?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 50033, 100099, 150165, 200231?\nAnswer: 250297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 99*k**3 - k**2 - 13*k**4 - 40*k**3 - 18 - 33*k**3 - 27*k**3 to i*k**4 + n*k + z + v*k**3 + m*k**2 and give z.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3222 = -4*g - 414. Suppose -7*y + g + 453 = 0. List the prime factors of y.\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y - 2. Let a be -1 + 2 - (-1 - 17). Calculate the common denominator of b(-8) and (-3 + 6)\/((-5)\/a).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68885 a multiple of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7, 8, 11, 16, 23?\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 5*u - 27. Let t(g) = g**3 + 16*g**2 + 25*g - 31. Let y be t(-14). Calculate the smallest common multiple of 8 and b(y).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(304)*-1*1.\nAnswer: -4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 404 - (-2 - 22)\/4. Let c = b + -272. Is 6 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1075)\/129*(-3)\/5. Let v be -1 + 2 + m + (-35)\/6. Let t = 1 - 0. Put 0, v, t in decreasing order.\nAnswer: t, v, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.192 - 48.15. Let f = -45 - s. Let g = f - 0.058. Which is the third smallest value? (a) -1 (b) -4 (c) g (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 120 and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*k**2 + 7*k**2 - 5*k**2 - k**2 + k**2 - k**2 + (0*k + k + 0*k)*(-4*k + 6*k + 2*k) - 4 + 7 + 3*k**2 + 1.\nAnswer: 10*k**2 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.2 - -0.3. Suppose 15 = 2*s - 5*i + 5, -3*s - 7 = -2*i. Which is the nearest to 0? (a) s (b) -0.02 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:24 AM and 6:38 AM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -1815*c + 8250. Does 77 divide j(-19)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -3*v**3 + 2*v**2 + 2*v + 1. Calculate n(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 5, -4*p + 274 = s + s. Let q be p\/20 - 6\/15 - -50. Calculate the highest common divisor of 477 and q.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1*(-27)\/(-6)*(-14)\/21. Let q(p) = -5*p**3 - 47*p**2 + 36*p + 5. Let t(a) = 2*a**3 + 16*a**2 - 12*a - 2. Let d(k) = o*q(k) - 8*t(k). Give d(12).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*a = 2*a + 10, 2*a - 2 = z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the third derivative of -a**5\/15 + 102*a**2 + 2*a. Let d(j) be the first derivative of 0*j + 2 + 0*j**2 + 1\/3*j**3. What is q(d(y))?\nAnswer: -4*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.3, 0.026597, -3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 582 - 516. Is 2 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 12 - (3 + 2).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 4034, 8074, 12128, 16196, 20278, 24374, 28484?\n\"Answer: 7*r**2 + 4019*r + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 13*y**3 - 7*y**2 + 13*y - 6. Let n(k) = -9*k**3 + 5*k**2 - 9*k + 4. What is 7*n(b) + 5*p(b)?\nAnswer: 2*b**3 + 2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 7445 (base 8) to base 5\nAnswer: 111002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - -99733?\nAnswer: 99740","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2, 3, 20, 55, 114?\n\"Answer: n**3 - 2*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*v + 3*o - 4*o = 27, 287*o - 544*o + 260*o = -4*v + 19 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -524485 (base 10) to base 13.\nAnswer: -154960","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 - -4. Sort 5, -2\/13, p.\nAnswer: -2\/13, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -133545, -132701, -131857, -131013, -130169?\n\"Answer: 844*d - 134389","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u + 1. Let k be w(4). Let q be (-4)\/(-3)*(-3)\/10. Suppose 0 = 4*c + 2*c. Put k, q, c in increasing order.\nAnswer: q, c, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 107787 and 366?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 908\nAnswer: -1\/454","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 9 = c. Suppose c*n - 6 = 36. Solve -1 = -g - 2*k, 5*g - k + 2*k - n = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 232*g**3 - 19*g**2 + 75*g + 11. Does 169 divide z(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -12*c. Suppose 4043 = 4*i + x, 0*i + 5080 = 5*i - 4*x. Let g(d) = -i + 1012 - d. Calculate g(j(b)).\nAnswer: 12*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*y - 27*y - 106*y**2 - 1656*y**2.\nAnswer: -1762*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 2*f**2 + 4*f - 10. What is the tens digit of y(6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16 + (-8840)\/(-546))\/((-5)\/15)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -5984559, -11969100, -17953629, -23938140, -29922627, -35907084, -41891505?\n\"Answer: x**3 - 5984548*x - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -t**2\/8 - 1483*t\/8 - 94611\/4 = 0.\nAnswer: -1342, -141","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1285134, 1285127, 1285120, 1285113, 1285106?\n\"Answer: -7*j + 1285141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1402627 a multiple of 136?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 160, 327, 494?\nAnswer: 661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3 - ((3 - 2) + 0). Let j(q) = q**3 + 5*q**2 - q + 4. Does 12 divide j(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2.7 (b) 5 (c) 116 (d) 1 (e) -15 (f) 2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g + 4*g - 4*g + (1 + 10 + 4)*(-g - 3*g + 5*g))*(2*g**2 + 3*g**2 - 6*g**2).\nAnswer: -16*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*h = 19*h + j + 1, -26*h - 2*j - 7 = -5 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -t + 2*z, -5*t + 5*z = 1 - 126. What is the derivative of -12*d**4 - 8 - 3 - 56*d**4 - t wrt d?\nAnswer: -272*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -2 - 3*g**2 + 3*g**2 + 3*g**2 + 6*g**3 + 4*g + g**2 - 7*g**2. Let p be o(1). Solve 2*b + 15 = -3*v - 3*b, v - 2*b = -p for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 274.3691 nanometers in centimeters?\nAnswer: 0.00002743691","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 48*k - 90. Let z(d) = -21*d + 46. Determine -3*p(c) - 7*z(c).\nAnswer: 3*c - 52","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s**4 + 10*s**3 + 120*s**2 - 160*s - 640 = 0.\nAnswer: -4, -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 2 = l. Let f(t) = -2*t - 4. Let s be (-12)\/15 - 19\/(-5). Let i(u) = u + 1. Determine l*f(h) + s*i(h).\nAnswer: h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -5 - (-2)\/(35\/15 + -2). Let w = 28 - 28.1. What is the closest to w in 2, l, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 531 + -507.9. Let a = -28.65 + y. What is a rounded to zero dps?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 + -4. Let x be w\/(-6)*(-54)\/48. What is the nearest to 1 in x, 0.3, -4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**3 + 20*v**2 + 44*v + 3. Let l be c(22). Suppose -r = -6 + l. Let u = 3.3 - 3. What is the second smallest value in 5, u, 0, r?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 106 less than 43754?\nAnswer: 43648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7*-8*-3*10\/(-420).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4199882521 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10340\/3759 + -58\/21. Which is bigger: m or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 769?\nAnswer: 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 5, -706.82, -0.18?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c. Let z(r) = -24*r. What is 54*y(n) + 2*z(n)?\nAnswer: 6*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 196723 (base 10) to base 14\nAnswer: 51999","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 102221 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2)\/3)\/((-4)\/6). Let i(j) = -j - 1. Let y(t) = -4 + 4 + 1 + 0. Determine a*y(o) - i(o).\nAnswer: o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 402*b - 5*s + 1479 = 404*b, -b = -5*s - 717. What is the hundreds digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-42)\/((-63)\/(-9)) + 2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**3 + 9*n**2 + 12*n - 15. Let u be h(10). Let t = -2 + u. Suppose m - 5*m - 38 = -2*w, -t = -m. What is the remainder when 99 is divided by w?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(1\/18)*w*w\/(w\/((w**2\/w)\/w*w*w)*w*w)*w*((w\/w**11)\/w)**(-24) assuming w is positive.\nAnswer: w**(4789\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 857 + -9.\nAnswer: 848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in four thirds of a week?\nAnswer: 13440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -48*q**2. Let f(a) = 42947*a**2. Determine f(k(j)).\nAnswer: 98949888*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 - 1111011001?\nAnswer: -1111011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.542917 rounded to 1 decimal place?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-20475)\/(-2835) - ((-40)\/(-18) - 2). Solve b - 4 = v - 9, -3*v - 5*b = -y for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cppc when four letters picked without replacement from {p: 2, c: 11}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from wqcqcccqqqq.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 5 = -3*c, 4*c + 42 = -2*l. Let q = l - -58. Let u = 21 + -7. What is the greatest common divisor of u and q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -51021 (base 6) in base 3?\nAnswer: -100012111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*v - 10 = 6*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/1583545 or -1?\nAnswer: 2\/1583545","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.072*-2003\nAnswer: 144.216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/13 (b) -0.3 (c) 2283 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(1 + (sqrt(1715) - sqrt(1715)*-1)\/sqrt(7)).\nAnswer: 3 + 42*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.9 + 0.84. Let y = f - 2.94. What is the second biggest value in -1\/8, -7, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor d + 1\/2 + 0*d**2 - d**3 - 1\/2*d**4.\nAnswer: -(d - 1)*(d + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:18 PM and 1:20 AM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**2 - 10. Let a be c(4). Is ((-3466)\/(-3))\/(a\/9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 5, 1, -8, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2432.96700045 - -2432.867. Let p = -1.4 + 1.5. Let o = l + p. What is o rounded to 7 decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - (-1 - 9 - (18 - 22)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9710795 is divided by 1566?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 2\/(4\/34) - (-4692 + 4689).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.323 - 2.2229872751.\nAnswer: -1.8999872751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 136 is divided by 60?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (-18 - (104 - (11 - 4) - 17)).\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(136) - 2*1*sqrt(136))*-5)\/(-4*2*sqrt(128)).\nAnswer: -5*sqrt(17)\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add 0 and 0.18696.\nAnswer: 0.18696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -82554 + -1b?\nAnswer: -82573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -191 (b) -5 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-16)\/6*12\/8. Let t = v + 7. What is the second derivative of 3*i**5 - i + i + t*i wrt i?\nAnswer: 60*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**2 + 310*d + 308.\nAnswer: 2*(d + 1)*(d + 154)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1476178 to the power of 1\/5, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -3ab3 (base 16) to base 12\nAnswer: -8843","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2920\/438*9\/(-6).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 45724043 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from svvvvyovyvovv. Give prob of picking 1 v and 1 s.\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -71*s + 1. Let x(z) = -35*z - 1. Let n(t) = 3*u(t) - 7*x(t). Differentiate n(f) with respect to f.\nAnswer: 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 83*i + 288 + 127 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in 3, 17, -32.293?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12*b - 12*b + 6*b**3 + (0 - 5 + 4)*(-1 - b**3 + 1).\nAnswer: 7*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a millimeter in micrometers?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*n**2 - 615*n + 625.\nAnswer: -5*(n - 1)*(2*n + 125)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/(-9) - 47\/141?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3 + 291 + 3 + 0. What is the common denominator of (w\/(-18))\/((-60)\/9) and 101\/20*(612\/(-24) + 28)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -z**2\/5 + 9467772*z\/5 - 22409676660996\/5 = 0. Calculate z.\nAnswer: 4733886","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**3 - 4*s**2 + 3*s - 2. Let a(c) = -5*c**3 + 16*c**2 - 11*c + 7. Let g = -53 + 62. Let f(d) = g*x(d) + 2*a(d). Give f(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 + -1 - -10) + -13?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 444161 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73*h = -231*h - 2807 + 3873 + 12614 for h.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8\/5 - 17\/20. What is the biggest value in 2, a, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 1)*(6 + 7 - 7)*(3*l - 3*l + 2*l**2).\nAnswer: -12*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3767?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -48\/17929 and 46\/169?\nAnswer: 3030001","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -b + -5?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 155653 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (60\/195)\/((-2)\/4*(-236)\/1534).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2\/59, 2\/17, -0.2.\nAnswer: -3, -0.2, 2\/59, 2\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 - 2\/(-4)*0. Solve 2*w = -l*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3121+5238.8177\nAnswer: 5239.1298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 159522 divided by 7251\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -160*t = 3*z - 161*t - 31, 0 = 5*z - 3*t - 53 for z.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*d + 11*d + 584 = 17*d - 19*d for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 419 - 421. Is (25383\/9)\/(c\/(-6)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-32)\/110 + (-1624)\/1680 + 1\/6?\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -212 + o**4 + 215 - 2*o**4 - o**4 - 13*o**3 + 4*o**2 to the form q*o + f*o**3 + m*o**2 + t*o**4 + a and give f.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/266)\/(23\/161).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -6*j**3 + 4 + 3*j**2 + 5*j**3 - 3 - 3. Let r be p(3). Is r > -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**2 - 65*g + 195. Let r be q(-69). Let l(j) = 41*j + 1. Let m be l(-2). Is m != r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 160 (base 10) to base 7.\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -500, -499, -498, -497?\n\"Answer: r - 501","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2262 and 234?\nAnswer: 6786","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -1\/3 (b) -2\/13 (c) 0.5 (d) -20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 3*k**3 + k**2 - 5*k. Let j be (202 + -202)\/((0 + 1\/(-1))\/(-1)). What is i(j)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-6*(sqrt(102)*-2 + sqrt(102))*-4*-5)\/(3*(sqrt(42)\/(-1*sqrt(7)) + sqrt(6) + sqrt(6) + -6*1*sqrt(6))).\nAnswer: 24*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(-12) + 245\/30. Suppose 0 = 6*d - 10*d + p. What is the least common multiple of 18 and d?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -45*b - 2. Let s(q) = 9*q**2. Calculate m(s(c)).\nAnswer: -405*c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, 271345, -6 in decreasing order.\nAnswer: 271345, -6, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 x when two letters picked without replacement from eveeevnxxexvevn?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -28\/15 + 106\/105. What is the closest to 0.1 in n, -3\/5, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1023?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i + 35 + 173. What are the prime factors of i?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:31 PM and 8:51 PM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the third derivative of -1\/200*s**6 + 0*s + 0 + 0*s**3 - 60*s**2 - 1\/120*s**4 + 1\/1050*s**7 + 1\/100*s**5. Let u(y) = 0. Calculate y.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 114\/(-9)*(-8 + -1). Suppose 3*v = 2*v + s. Suppose v = 4*u + 42. Is 3 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (16560 - 16560 + 57*m**2)*(-1 + 2 + 0) to z*m + c*m**2 + r and give c.\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 4*i = -i + 17247, 4*j - 17244 = -4*i. Suppose 12*k - j + 732 = 0. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1506 by 3.\nAnswer: -502","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -2*a**2 + 545*a - 34426. Calculate u(173).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 63223073.1 rounded to the nearest 100000?\nAnswer: 63200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -8430 (b) -2.1 (c) 5 (d) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-329 + 332 + 945*i - 798*i)*(-3*i - 2*i + 4*i) in the form g*i**2 + x*i + o and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 54 and 324?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 46 divided by 16.\nAnswer: 23\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -674 - 4b?\nAnswer: -6bf","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i**5 - 32*i**4 + 132*i**3 = 0 for i.\nAnswer: -11, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/(1\/((-220)\/(-6))). Suppose 0 = -g + 3, 4*m + 0*g - 2*g - u = 0. Let y = m - 12. What is the greatest common divisor of y and 51?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times -1043\nAnswer: -312.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -27 - 33016253?\nAnswer: -33016302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -2427 (base 9) in base 10?\nAnswer: -1807","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the first derivative of -d**4\/6 + 2*d**2 + 13. Let b(g) be the second derivative of j(g). Let a(s) = s. Determine b(a(v)).\nAnswer: -4*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -2*y + 20. Let v be t(6). What is the remainder when 28 is divided by v\/3*108\/48?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l + q - 102, -l + 69 = 3*q + 2*q. Suppose -30 = -2*n - 2*t, -3*n - t + l = 8. Let r = -18578 + 18578. Solve r = 4*c - 1 + n for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*g**4 + 6366*g**3 - 9540*g**2 = 0. Calculate g.\nAnswer: 0, 3\/2, 1590","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132) + 1*sqrt(132)*-2 + sqrt(132))\/(-6*sqrt(300) + sqrt(12)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + 0 - (-34 - (-10 + -17))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand y - 1 + 1 + 4*y - 4*y - y - 4*y + 4*y + 2*y + (3*y + y - 5*y)*(-2 + 2 - 1).\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4320 and 61804620?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r - 5*n = -0*n - 7, -n + 19 = 4*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3851 - -18?\nAnswer: 3869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 48 and 1620288?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**3 + 25*o**2 - 24*o + 4. Suppose 17*c + 16*c - 792 = 0. Give u(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (5 + 2*sqrt(720) + sqrt(720) + -1 + -3 + 6*sqrt(720)*2 + -2)**2 + -1.\nAnswer: -360*sqrt(5) + 162000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*q**2 + 0*q**2 - 246047*q**3.\nAnswer: -246047*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*o = -8*o. Suppose 7*m + o = 21. What is the first derivative of -14*h**3 + 3*h**m + 7 + 0*h**3 wrt h?\nAnswer: -33*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 178339497 divided by -31.\nAnswer: -5752887","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 34\/291 and -64\/10821.\nAnswer: 1049637","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 + 9 = -3*r. Suppose -5*q = k - 106, 418 = r*k + 2*k - 3*q. What are the prime factors of k?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the second derivative of -g**4\/3 - g**3\/3 - 125*g. Let h(y) = -2*y. What is d(h(n))?\nAnswer: -16*n**2 + 4*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 4*b**2. Let k(i) = -2225513*i**2. Calculate d(k(r)).\nAnswer: 19811632452676*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 17554, -52, -3, 8 in decreasing order.\nAnswer: 17554, 8, -3, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b. Let k(c) = 12*c - 1409. Give i(k(h)).\nAnswer: 12*h - 1409","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 306 and 414.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*k - 1790 - 190 = -17*k. Solve -k*b + 40 = -16*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o + 15 - 0. Let s = 9 + -5. Suppose -2*d + o*r - 7*r = -14, 0 = -s*d - r - 7. Which is the second biggest value? (a) 1\/10 (b) -5 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence um when two letters picked without replacement from {u: 1, m: 7}.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-116)\/(-4) + -1)*1. Suppose -4*c - 184 = -72. Let z = c + b. Which is greater: -4\/3 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2968 - 2965. Factor 0*n + 0 - 5\/2*n**i + 2*n**4 + 1\/2*n**2.\nAnswer: n**2*(n - 1)*(4*n - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:39 PM and 6:58 AM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2 + -2 + 0)*1. Let v = 21 + -9. Let h be (-9)\/v*(-4)\/(-6). Is h at least as big as q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-64)*-4)\/((-135)\/36).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 12*n**2 + 10*n. Let g(k) = 4*k**2 + 3*k. Let l(x) = 3*f(x) - 10*g(x). Let m(z) = z - 1. Let b(a) = -1. Let u(c) = b(c) - m(c). Calculate u(l(i)).\nAnswer: 4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14822 = 53*y - 12694 - 1369. What is the remainder when y is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000001117 rounded to seven decimal places?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 91 - 20. What is the remainder when u is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x when three letters picked without replacement from {h: 1, p: 1, t: 5, m: 4, x: 3}?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27210 is divided by 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*o - 2*o = -8*o. Let h = 319 - 313. Solve -2*g = 3*n - 2, o*g + h = 4*n + g for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d + 72 = -20*t + 15*t, 16*d = -3*t - 356 for d.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -117*n**3 - 12*n**2 - 12*n + 12. Let i(c) = -47*c**3 - 5*c**2 - 5*c + 5. Calculate -12*i(o) + 5*s(o).\nAnswer: -21*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1031473?\nAnswer: 137, 7529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -2*r - 24. Suppose l - 4*l = 48. Calculate t(l).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**2 - 17*c + 2. Let i be u(-17). Suppose -i*o + 10 = o + p, o = 2*p + 1. Solve -2 + 5 = o*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 820266481?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of a**3*d + 95896*a**3 + 2*a**2*d + 1608*a*d - 7*d wrt d?\nAnswer: a**3 + 2*a**2 + 1608*a - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(70) - sqrt(70)*2)*-6 + -1*(sqrt(70) + -1*sqrt(70)))\/(sqrt(20)\/(sqrt(2) + sqrt(8)*1)))**2.\nAnswer: 2268","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 189?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*q - 1, 4*r - q = 27. Does 5 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the first derivative of n**4\/4 + n**3\/3 + 4*n - 1. Let v be a(0). Let r(y) = -2*y + 10. Let d be r(7). Sort -5, v, d.\nAnswer: -5, d, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**3 - 8*x**2 + 1. Let c(a) = 2*a**2 + 1. Let k(u) = -c(u) + v(u). Factor k(n).\nAnswer: n**2*(n - 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes after 8:22 PM?\nAnswer: 8:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -38 - -41. Let o be -3*(-3)\/18*3. Which is the closest to -0.2? (a) 4 (b) o (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 275 divided by -55?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 827.\nAnswer: 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.000349 rounded to three decimal places?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 12*t**3 - 5*t**2 - 3. Let s(g) = 7*g**3 + 7*g**3 - 5 - 9*g**3 - 8*g**2 + 13*g**3 + 0*g**3. What is 8*p(i) - 5*s(i)?\nAnswer: 6*i**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 354342101 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0.06, -11 in increasing order.\nAnswer: -11, 0.06, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/2 - (-7 - 471\/(-6)). Let q be 7\/((-42)\/(-24)) - 1. Which is greater: q or a?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*z + 5*y + 67 = 0, 2*y = -2*z + 27 - 1 for z.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.5, -107, -1, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k - 3*m + 1520, 3*k + 0*k - 1119 = 3*m. List the prime factors of k.\nAnswer: 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2\/8777 + -16540\/4449939. Do 1 and r have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12412590 - z + 24825187 - 12412597.\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 32 - 12 = 0. Let o be (b\/(-8))\/((-2)\/8). Suppose 2*m = 5*z + 6, 0 = o*m - 0*z + 5*z - 26. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 5, d: 7, a: 8}. Give prob of picking 4 d.\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 320791132 to the nearest integer?\nAnswer: 685","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -18 + 58. Suppose 0 = -p*i + 213 + 747. Let r = -121 - -311. Calculate the remainder when r is divided by i.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 3, k: 10, t: 1, m: 3, p: 2}. Give prob of picking 1 m and 1 k.\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 342 is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**3 - l**2 - 1. Let w(z) = 7*z**3 - 3*z**2 - 2*z - 12. Let x(p) = -6*m(p) + w(p). Let k be x(-3). Solve h + 4 - 8 = k for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-4\/3))**36*(s\/(s\/(s**(-2\/11)\/s))*s)\/(s\/((s**9*s)\/s)*s) assuming s is positive.\nAnswer: s**(-453\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 6229787 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2024 to the power of 1\/4, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 29518014*w**5 + 2*w**4 - w**3 - 4594710*w**2 - 58*w wrt w.\nAnswer: 1771080840*w**2 + 48*w - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 519276702?\nAnswer: 2, 3, 7, 12363731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 4786.163 nanoseconds?\nAnswer: 0.000004786163","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 16 = -0*m + 2*m, 26 = 5*m + 2*i. Suppose m*x - x = 0. Is (-166 + x\/3)\/(-2) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 - 0. Which is bigger: a or -11\/4?\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25 - (29 + (-36 - -18)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:05 AM and 2:36 PM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -17\/4 in -4, 5, 6\/7, -1, -3\/2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7*8798619.\nAnswer: 61590333","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2\/29 - 4835\/116. Let y = 42 + i. Let q = 168 + -168.5. Sort q, -2, y in descending order.\nAnswer: y, q, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 87, -33, -9 in descending order.\nAnswer: 87, -9, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l + 19. Let d be k(14). What is the third smallest value in -5, -9, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*t + 982 - 3558 = -132*t for t.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the third derivative of 2\/35*a**7 + 0*a**4 + 0 + 0*a**6 + 0*a**5 + a**2 - 6*a - 25\/3*a**3. What is the derivative of f(z) wrt z?\nAnswer: 48*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes before 11:33 AM?\nAnswer: 7:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -q + f - 2, -2*f + 64 - 66 = -5*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 177 - 15. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 244304 (base 6) in base 10?\nAnswer: 21712","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 - -16. Suppose -y = -g + 59. Let l = 232\/3 - g. What is the closest to l in 2, -3, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (7\/2 - 2)*-2. Let q(l) be the first derivative of -3*l**2\/2 + 2. What is the units digit of q(v)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + 109 = 4*b + 15, -5*b - 5*o = -115 for b.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -93\/20 and -59\/40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14303677\/3080 - -2253\/770. Let j(u) = 33*u**2 + 10*u + 18. Let r be j(-12). Let h = r + k. Calculate the common denominator of h and 29\/11.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -7376, -7368, -7360, -7352?\n\"Answer: 8*o - 7384","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 842432*h + 921884 wrt h?\nAnswer: 842432","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3\/10 of a day?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 != 222\/817?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:49 AM and 2:15 PM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1120\/60*((-6 - (-77)\/28) + 4).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (120\/720)\/(1\/(-2)). Which is the closest to -0.3? (a) 2\/3 (b) -3\/8 (c) -37 (d) m\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.6 and -428910008034.\nAnswer: -428910008034.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24*30.\nAnswer: -720","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2 and 222182.15.\nAnswer: 222180.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20267 - 6515 = -7*b. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/2 + (-13)\/2. Let j be (15\/g)\/(4\/(-8)). Solve -3*r + j*m - 37 = 0, -27 + 2 = -5*m for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 4*u**2. Let l(x) = 386*x**2. Calculate z(l(o)).\nAnswer: 595984*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 8*p + 44. Let f be x(-5). Let a(j) = 39*j**3 + 8*j**2 - 3*j - 1. Is a(f) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.09 at least 52?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8838 - 5758. What is the thousands digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/5472 and 89\/4788000.\nAnswer: 4788000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13 + 4. List the prime factors of m.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0*(6\/(-4))\/(-3). Let g = 2 - d. Solve 2*o - 10 = y + g*y, -3*o - 2*y + 15 = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uetys. Give prob of picking 1 t and 1 s.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -2)*14*9\/441.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -463, -921, -1379, -1837, -2295, -2753?\n\"Answer: -458*d - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a gram in milligrams?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of (1206\/(-5))\/(-3) + (-4)\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 316858016 a multiple of 886?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 4*w + 794, -5*o = 3*w - 2*w - 814. Let x be 8\/(-20)*1\/(2\/(-90)). What is the greatest common factor of x and o?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 - 2. Suppose l = 2*t + 80, 2*l - 3*l - 2 = z. Let d = 12 - t. List the prime factors of d.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(5\/3)*g)\/(g**20\/g))**(8\/11) assuming g is positive.\nAnswer: g**(-392\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 588378365?\nAnswer: 5, 191, 616103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -814443, -814195, -813947, -813699, -813451, -813203?\nAnswer: -812955","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**2 + k + 28. Let f = -1249 + 1269. What is the lowest common multiple of f and p(0)?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wefezcjffjcj. Give prob of picking 1 w and 1 z.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -163036 (base 8) in base 14?\nAnswer: -1767c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + 3*d)*((-2*d**4 + d**4 - d**4)*(2 - 1 - 3) + 5*d**3 + 2*d**4 + d**3 - 9*d**3).\nAnswer: 18*d**5 - 9*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (58 + 230 - 61)*(-7*b + 15*b**2 - 22*b - 16*b**2).\nAnswer: -227*b**2 - 6583*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**5 - 9*v**4 - 24*v**3 - 20*v**2.\nAnswer: -v**2*(v + 2)**2*(v + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13 - 122. Let p = -18 - r. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 215 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8\/(-5)*(3 + -63). Solve g*i = 95*i - 4 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**2 - 10*q - 3. Let h = 3 + -12. Let a be n(h). Solve 0 = a*o - o - 25 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -106*z + 98*z = 56 for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 48 = -2*z, 0 = -5*u + 3*z - 129 + 434. Suppose -10 = -4*w - 3*m + u, -3*m - 30 = -3*w. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66*69\/(-8142)*59?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 331 + 37*g**2 - 139*g - 330 - 2*g**3 + 138*g in the form o + m*g + p*g**2 + a*g**3 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4623 - 64126?\nAnswer: -102052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ufusffffhfhfhhhuaaa. Give prob of picking 2 f and 1 s.\nAnswer: 7\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -8 + 0 + (-8 - (-12 + 0 + 9))\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 741.1, 0, -2\/5 in descending order.\nAnswer: 741.1, 0, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*w**2 - 2*w**2 + w**2)*(w - 8*w + 4*w) - 24*w**3 - 175*w**3 + 129*w**3 - 190*w**3 to r + l*w**3 + q*w + v*w**2 and give l.\nAnswer: -257","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/13356 and -7\/2862.\nAnswer: 40068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 17, 1, -3, -1, -19 in descending order.\nAnswer: 17, 1, -1, -3, -4, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 28\/3 of a hour in minutes?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 3*j**2 - 4*j + 3. Let r(k) = 2*k**2 + 5*k + 11. What is the remainder when r(0) is divided by c(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 461032643 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -26*k**2. Let m(n) = 837397*n. Give z(m(l)).\nAnswer: -18232077125834*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -45 - -46. Calculate the lowest common multiple of 25 and b*(-8)\/(-36) - 176\/(-18).\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -3*a**2 - 3*a**2 - a**2 + 5*a**2. Let y(t) be the third derivative of t**5\/15 + 2*t**2. What is p(y(z))?\nAnswer: -32*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3, 60, 167, 318, 513, 752, 1035?\nAnswer: 1362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 103.1 times -87?\nAnswer: -8969.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -35.62 times 14.69?\nAnswer: -523.2578","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 297132 to the power of 1\/2, to the nearest integer?\nAnswer: 545","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 188664.\nAnswer: 2, 3, 7, 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -a**3*p**3*u**2 + a**3*p**3 + a**3*p**2*u + 17*a**3*p*u**2 - 2*a*p**3*u - 5*p**3 wrt u.\nAnswer: -2*a**3*p**3 + 34*a**3*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 15) to base 14\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together 243.2 and 33972267.\nAnswer: 33972510.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3587\/2 - 243959\/136. What is the common denominator of 3\/272 and v?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m + 0*m + 12 = 0. Let t be -2 - (-5 - m) - 26. Which is greater: -23 or t?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -5*u**2 - 1. Let y = -152 + 153. Let t(o) = o. Determine y*t(i) - f(i).\nAnswer: 5*i**2 + i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 542684347 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 142616?\nAnswer: 2, 17827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (90\/135)\/((-2)\/6).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/3 (b) -1\/2 (c) 4\/5 (d) 11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*f**3 - 5*f**3 - 21*f**3)*(-1 + 1 - 2*f).\nAnswer: 44*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 11*x - 252. Let u(t) = t - 1. Let h be ((-949)\/(-65) - 13) + 4\/10. Let q(s) = h*u(s) + i(s). Differentiate q(r) wrt r.\nAnswer: 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20*v + 7*v + 19*v)*(-3 + 1 + 6)*(11*v + 2*v - 6*v).\nAnswer: 1288*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 34.4 - 34.400443. Round j to four dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54637*q + 699519*q - 62812*q - 1 + 2 + q**2 + q**3.\nAnswer: q**3 + q**2 + 582070*q + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/20)\/(26\/(-2496)*18).\nAnswer: -16\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10 and 350?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 51873 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/352 and -53\/1936.\nAnswer: 3872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((36\/(-3))\/1)\/(-3 - -4). Let i be (6\/5)\/(5*y\/150). Is 1151*11\/(-33)*i*1 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -69, -58, -37, 0, 59, 146, 267, 428?\n\"Answer: x**3 - x**2 + 7*x - 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m + 1. Let d be ((-3)\/(-5) - 0)*(9 - 8\/12). Let o(v) = 2. What is d*o(k) - 4*r(k)?\nAnswer: 4*k + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 90 + -17. Let z = w - 35. Let i(h) = -2*h + 57. Let r be i(0). Calculate the highest common divisor of r and z.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 8, -v + 108 = -3*v - 3*i. Let s = 53 + v. Let t = 5 + 2. Solve 4*l + 2 = -s*a, -4*l - t = l + 4*a for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1399 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the second derivative of 0*b**3 + 1\/4*b**4 - 3*b + 34 + 5\/2*b**2. Let i(p) = -3*p - 2*p + 6*p. What is g(i(u))?\nAnswer: 3*u**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*l = -25*l - 18 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 90383759 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*f + f + f)*(-44*f - 25*f - 75*f).\nAnswer: 432*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes after 11:50 PM?\nAnswer: 10:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.58 less than -0.1269?\nAnswer: 0.4531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 3*c - 19. Does 5 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(2\/9))**(-2\/47))**(4\/15) assuming v is positive.\nAnswer: v**(-16\/6345)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.034 - 0.034. Put 3\/5, -1\/3, 4, p in decreasing order.\nAnswer: 4, 3\/5, p, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 188309 is divided by 62755.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2 and 6772961.\nAnswer: 6772963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a + 5. Suppose -3*n = -7*n. Let d be w(n). Suppose d*t = -0*t + 85. List the prime factors of t.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1936453 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 6 and 16.\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11897246?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 715?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -78 - -82. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1280*i - 115\/2*i**4 - 420*i**3 + 0 - 800*i**2 - 5\/2*i**5 = 0. What is i?\nAnswer: -8, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.36 - -2.36. Let r = -1.46 + -5.24. Let i = -7 - r. What is the closest to 0 in i, p, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -154.081054 rounded to 2 decimal places?\nAnswer: -154.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 5 - 4 + 0 + 2 - 5*d + d**2. Determine g(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 5*b**2 + b + 54. Let o be h(0). Suppose -n + 5*j + 149 = o, 4*n - 399 = j. List the prime factors of n.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 325 a factor of 82820725?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 4235601 (base 7) to base 9\nAnswer: 862250","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (((-12)\/(-5))\/3)\/((-22)\/(-55)). Factor 0*g + 0 - 4\/9*g**4 + 2\/9*g**3 + 0*g**p + 2\/9*g**5.\nAnswer: 2*g**3*(g - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -191*c = -199*c. Suppose c = -p - 2*g + 2263, 3*p - 7*p + 3*g = -9019. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 + 6.4. Let z = 128.2 + -123. Let q = -5.5 + z. Which is the closest to q? (a) i (b) 4 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u\/u**4))\/(u\/(u\/u**(-6\/13))))**(-13)*(u**(1\/11)\/(u*u**(-1)))\/(((((u\/u**(2\/11))\/u)\/u)\/u)\/u**(-2)) assuming u is positive.\nAnswer: u**(-635\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*y + 6*y**2 - 11*y**2 - 32*y + 58*y - 3*y**2.\nAnswer: -8*y**2 + y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2416417 to the nearest integer?\nAnswer: 1554","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -289, -361, -489, -679, -937?\nAnswer: -1269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-16))\/(260\/2600) - -5.\nAnswer: 15\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -86 - -105. Suppose -u*z = 36*z - 5610. Which is smaller: z or 99?\nAnswer: 99","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 15*c + 15. Let l be d(6). Let t = l - 14. Suppose -k + 2*k - 4*m - 25 = 0, -4*m + t = 3*k. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-1) + 0\/5. Let t be -1 - (-5 + d)\/1. Factor -k**t - 4*k - 7*k**2 - 4*k - 2*k**3.\nAnswer: -2*k*(k + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o - 46 - 14. List the prime factors of o.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 224*z - 1122. What is n(5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -2*u, -2*o + 0*u = -2*u - 8. Suppose o = x - 3. Suppose 0 = -g + x*g - 16. Solve -5 = g*a + 3 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 15*l - 7. Let x = 120 + -111. Suppose 0 = -2*h + 5 - x. Let q(m) = -5*m + 2. Give h*o(b) - 7*q(b).\nAnswer: 5*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a*a**3))**(8\/3)*(a*a\/a**(2\/9)*a)\/(a\/(a*a**(-18))*a) assuming a is positive.\nAnswer: a**(-218\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 11 + 13 = 0. Let q be k\/8*(-2)\/(-6). What is the closest to 2 in 1, q, -0.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (940 - 2010 - 1445 - 281 - 2713)*(-4*z - z + 2*z) as s + c*z and give c.\nAnswer: 16527","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y - 3*y + 3*v - 7, 0 = -y - 4*v + 22. Suppose -9 = -y*m - m. Let w = 5 - m. Solve w*n + 0 = 4 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4164143 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -401087629*g*k**3*u + g*u**3 + 636*k**3*u**2 - 25664*k*u**3 wrt g?\nAnswer: -401087629*k**3*u + u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -8976.5 rounded to the nearest 100?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*a**3 - 86460527*a**2 + 11*a - 13795901.\nAnswer: -12*a - 172921054","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3804 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**2 + 5*f + 1. Let r(l) = 2*l**2 + 6*l. What is 5*r(x) - 6*v(x)?\nAnswer: 4*x**2 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 105\/4, -98.981, -0.6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.38 + -0.69. Let i = m - -0.11. Sort 1\/3, i, -5.\nAnswer: -5, i, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 26*p - 22*p - 40, -5*i = -3*p + 9. Let h(r) = r**2 - 14*r + 20. Calculate h(p).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10 - 1. Let k = 14 - l. What is the nearest to -1 in k, -3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*t - t - 2*t + (1 + 2*t - 1)*(2 - 5 + 1))*(-t**2 - 77 + 77)*(35*t - 79 - 36*t - 265) to the form g*t**2 + d*t + v*t**4 + i*t**3 + m and give v.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -8051099*v + 18799. Let q(u) = 1713*u - 4. What is -18799*q(n) - 4*x(n)?\nAnswer: 1709*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 8*h**3 + 3*h**2 - h - 1. Let i(r) = r + 1. Let p(b) = -4*i(b) - y(b). Let g be ((-4)\/(-10))\/((-2)\/10). Is p(g) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dsjd when four letters picked without replacement from {j: 4, q: 10, d: 3, s: 2}?\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnninlfnlllkxin. What is prob of sequence ixfk?\nAnswer: 1\/16380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -293, -582, -871, -1160, -1449?\n\"Answer: -289*x - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7833.555ug to grams.\nAnswer: 0.007833555","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 12, -5, 4\/5, -2\/47?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16576317?\nAnswer: 3, 191, 9643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes after 6:41 PM?\nAnswer: 3:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13 - 12. Let j be (d - -8) + -2 + -2 + 0. Factor 20*t**2 - 10*t**2 - 5*t**2 - 5*t**3 - 7*t**4 + 5*t**j + 2*t**4.\nAnswer: 5*t**2*(t - 1)**2*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1336651613, -1336651612, -1336651611, -1336651610, -1336651609?\n\"Answer: a - 1336651614","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 40 and 590?\nAnswer: 2360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10685593\/15 - -712001. Let i = -372 - h. Which is the fourth biggest value? (a) i (b) 0 (c) -9 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11936 and 18277?\nAnswer: 584864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 995849444?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h - 27*l + 21*l = -0*h - 16, 2*h + 6*l + 8 = 10*l for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) -595 (c) 0.09 (d) 2619\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 2825 = 3*i, 2*r + 5*i - 606 = 817. Does 16 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 9*n + 17. Let h be r(0). Let a = h - -1029. What is the tens digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 2*b. Let o(p) be the first derivative of -11*p**2 - p - 2. Let m(n) = 22*n + 1. Let x = 465 + -471. Let w(c) = x*o(c) - 5*m(c). Calculate t(w(v)).\nAnswer: 44*v + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -a6 (base 16) to base 5\nAnswer: -1131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4\/19 - -31\/57. Which is the closest to 3? (a) -5 (b) -0.1 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 smaller than 3\/101953?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the second derivative of -f**7\/14 - 469*f**4\/12 + 6*f**3 + 13*f**2\/2 + 1985*f. Find the second derivative of d(t) wrt t.\nAnswer: -60*t**3 - 938","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8 and (-28)\/((14\/(-4))\/7)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(36\/9))\/(-1).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11*j**3*o**2 - 2*j**2*n**3*o**2 - 4*j*n**3*o**2 - 3*j*n**2 - n**3*o**2 wrt j.\nAnswer: 66*j*o**2 - 4*n**3*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1187, 2350, 3513?\nAnswer: 4676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-120 - 118 + 56)*(2 + 0 - 3)*(d**4 + 0*d**4 + d**4).\nAnswer: 364*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l\/l**(-2\/21))*l)**(-31)*(l*l**(-2)*l)**(-4) assuming l is positive.\nAnswer: l**(-589\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, a: 5, m: 1, n: 1, o: 2}. What is prob of picking 1 n, 1 v, 1 o, and 1 m?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 511 is divided by (-2 - -1)\/(8 - (-2475)\/(-309))?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, 35, 1\/84, -17, 0.3, -5\/6?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62619*y - 3*y**3 + 66217*y - 128836*y.\nAnswer: -3*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 17\/15 - 7\/15. Let p(n) be the first derivative of -4\/9*n**3 - 2 + 7\/6*n**2 + a*n. Let p(h) = 0. Calculate h.\nAnswer: -1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -86*l**2 - 85*l**3 - 77*l**3 + 27*l**2 + 24*l**3 + 44*l**2.\nAnswer: -138*l**3 - 15*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from viarrxvvvi. Give prob of sequence riv.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**2 - 56604*u + 283070.\nAnswer: -2*(u - 5)*(u + 28307)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 33\/92 and 2 + (-2184)\/828 - 0.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 51921726 to the nearest integer?\nAnswer: 7206","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1\/5)\/((-244)\/305). Let o = 0.2 + 104.8. Which is greater: o or q?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -47 divided by 12272\nAnswer: -47\/12272","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7823195 is divided by 889?\nAnswer: 884","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**3 + 18*q**2 - 70*q - 290. What is p(-4)?\nAnswer: 342","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -710625 (base 9) in base 13?\nAnswer: -119486","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4634308339 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the second derivative of 3*f**2 - 1\/6*f**3 - 1\/12*f**4 + 1\/20*f**5 + 0 - 2*f. Calculate the remainder when 11 is divided by p(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 395 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 - 19 - (7 + (-4 - 8))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 563400 divided by -12\nAnswer: -46950","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -25360, -24068, -22778, -21490, -20204, -18920, -17638?\nAnswer: -16358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 27386912503 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -5*u - 238. Give q(-42).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 + -1. Solve -3 = -q*l - 8 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**2 + 205*l - 10520. Give x(101).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/228 and 29\/15162.\nAnswer: 30324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-840)\/280 - 45\/3.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 886528 is divided by 435?\nAnswer: 433","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/(-7) + 10116\/63. What is the greatest common factor of z and 240?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*(2 + 6*6\/(-12)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.13 * 30.12.\nAnswer: 3.9156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 - (-20)\/4*4. Let w(c) = -c**2 + 18*c - 38. Calculate w(z).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -699*k + 706. Determine t(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 + 16 = 48*q + 35. Solve -s + 34 - 39 = q for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let c be 15\/9 + 2\/6. Suppose c*y - 9 = 2*v - v, 2*y = -2*v - 6. Solve 0*u = u + y*k + 6, -u + 24 = -4*k for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -4*z + 40, -2*s - 3*z + 21 = -6. What is the greatest common divisor of 84 and s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9883705 by 152057.\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*b - 247*b**4 - 7*b**2 - 222*b**4 + b**3 - 254*b**4 + 1 + 681*b**4 to y + x*b**3 + m*b**4 + d*b + o*b**2 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 - 114 - 21 - 18 + 11 + i as t + y*i and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*z + 41 = -4*y - 8*z, 7*y + 2*z = -73 for y.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -v + 15. Calculate the greatest common divisor of v and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 453942\/181 - 2508. Which is smaller: 1 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*g + 7*g + 165 = 0. Calculate the smallest common multiple of 11 and g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = 4*h - 41 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 53 + -47. Suppose -m*q + 12 = -2*q. Determine n so that -5*n - 10 + 26 + 5*n**2 - 5*n**4 - 16 + 5*n**q = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the first derivative of -4*a**3\/3 - 92*a**2 - 2116*a + 275. Factor g(m).\nAnswer: -4*(m + 23)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 38734?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.720407 kilometers in millimeters?\nAnswer: 3720407","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -146.3 + 146. Which is the closest to 0.2? (a) w (b) 2\/9 (c) 0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 20 = -3*i. Let z = i - -3. Let q be 0\/(-1) - 5\/(-1). Sort q, z, 0.\nAnswer: z, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from ggnggngngnngnngnnggg?\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 419 divided by -8620\nAnswer: -419\/8620","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.108? (a) 0.05 (b) 554 (c) -0.054\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 5 + 1)*(-4*n + 1 + 6*n - 3*n) + (-3 + 1 + 0)*(3 - 3 - n).\nAnswer: 9*n - 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -2238500 rounded to the nearest ten thousand?\nAnswer: -2240000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 924862*r**4 + 176234*r wrt r.\nAnswer: 11098344*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 210, 843, 1904, 3399, 5334?\n\"Answer: s**3 + 208*s**2 + 2*s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (32\/(-20))\/(5 - (-120)\/(-25)). Let j be 29\/20 + (-6)\/s - 1. Suppose -j*h**2 - 2\/5*h**3 + 0*h + 8\/5 = 0. What is h?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -32\/7*z + 4\/7*z**2 + 64\/7.\nAnswer: 4*(z - 4)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*h - 78*h + 64*h.\nAnswer: -14*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 114, 0, 0.5?\nAnswer: 114","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-6\/7)\/r**39 assuming r is positive.\nAnswer: r**(-279\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:44 PM and 6:36 AM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.18 + 3.17999155. What is g rounded to six dps?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*n**2 + 0*n**3 - 4*n**2 + 9*n**3.\nAnswer: 9*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 7) in base 14?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -19.977782 and 0.4?\nAnswer: -7.9911128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kqfqihhk. Give prob of sequence if.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -8*l**4*m - 11*l**2*m - 1940*l*m + 180179*m wrt l?\nAnswer: -32*l**3*m - 22*l*m - 1940*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*g**2*q - 51*g**2 + 47*g*q**2 + 3*g with respect to q.\nAnswer: 2*g**2 + 94*g*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 99931099 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkqqqqqkqqqqkqkqqqqq. Give prob of sequence kk.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*m**2 - 2378*m**4 - 6*m**3 + 4*m + 7*m**2 - 2*m + 2384*m**4 to x*m**2 + j + q*m + o*m**3 + w*m**4 and give x.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 481*l**2. Let y(a) = -267548*a. Determine y(f(j)).\nAnswer: -128690588*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.81 + -112.19. Let q = w + 116. What is the nearest to 0 in q, -3, 2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -65 + 36. Let k = -21 - m. Calculate the greatest common factor of 1 and k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -91236718.935 and -0.3?\nAnswer: 91236718.635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 195179, 195176, 195173?\n\"Answer: -3*n + 195182","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p**4 + 0*p**4 - p**4)*(-4 + p - 3 + 5).\nAnswer: -2*p**5 + 4*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a centimeter in millimeters?\nAnswer: 26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 2 i when four letters picked without replacement from lnlliiinnniglnilg?\nAnswer: 1\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*n + 63*n**2 - 557 + 557 - 5*n.\nAnswer: 63*n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -10 + 4*c + 20 - 20 - 5*c. Give r(-7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -383*z + 341*z + 672. Let r be 16\/(-3) + 2\/6. Let h = z + r. Solve -7 = g - h for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 5 = -5*x, -4*j + 0*x - x = 1. Suppose 3*i = 5*b + 22668, -b + 3 + 0 = j. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + y = 829, y + y = 4*l - 1122. Let t = l + -226. Calculate the greatest common divisor of 20 and t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13227 divided by -4409.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -11*x**5 + 148*x**4 - 587*x**3 + 558*x**2 + 108*x - 216 = 0.\nAnswer: -6\/11, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/5, 2\/5, -4, 2\/7 in increasing order.\nAnswer: -4, 1\/5, 2\/7, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -329, -657, -985?\nAnswer: -1313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 26\/25? (a) 1.36 (b) -1 (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11176?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*a - 969 = -1005 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 40 = 28. Let t(g) = g - 12. Let b be t(s). Suppose 5*q = -3*m + 3 - 19, -m - 8 = 3*q. Put -7, b, m in descending order.\nAnswer: b, m, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c + 1. Let r(u) = u. Let t be r(-5). Let j(z) = z**2 - 7*z + 7. Let w be j(5). Let q(s) = s - 1. Give t*b(d) + w*q(d).\nAnswer: 2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**2 + 4*t + 2. Let y be s(4). Suppose -4*b - 3*f = -97, 0 = -y*b + 4*f + f + 29. Does 22 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -920 - -1384. Let i = -464.000482 + d. Round i to four decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 3*o - 24 = -4*u, -4*o = -2*u. Which is the second biggest value? (a) 0 (b) -1 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 593243939?\nAnswer: 593243939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -8, 16, 70, 154?\n\"Answer: 15*g**2 - 21*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-20)\/8)\/(1\/(-2)). Suppose -6 = i*t + 2*o, 0 = -t + 2*o + 3 + 3. Solve 4*p - 15 = 7*r - 2*r, t = -2*p + r + 3 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/14*-7 + -1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -372 - 121 = 29*k for k.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 27652566?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the second derivative of -r**9\/1512 - r**8\/420 - r**7\/420 + 7*r**3\/6 + 5*r. Let x(m) be the second derivative of z(m). Factor x(i).\nAnswer: -2*i**3*(i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2.85 in 0.5, 32\/81, 0.08?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 668 divided by -11.\nAnswer: -668\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4*r - 5*r - r)*(2 + 1 - 2)*(-177 - 379 - 151)*(-2 - r + 2).\nAnswer: -1414*r**2 - 707*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 32386 + 380?\nAnswer: 32746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide (348\/(-580)*30\/(-4))\/(3\/1672)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 - 7. Let d(m) = 2*m. Let b be d(t). Let o be 7\/(7\/4) + b. Solve 9 = 3*i - o*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 267.828 millennia?\nAnswer: 2678.28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.3 (b) 3\/4 (c) -1\/5 (d) -71 (e) 169\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 94, 191, 288, 385?\nAnswer: 482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*c**4 - 2*c**4 + 0*c**4 + (112767*c**3 - 901*c**4 - 112767*c**3)*(6 - 4 - 3).\nAnswer: 896*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j when three letters picked without replacement from njjj?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the second derivative of -3*d**3\/2 + 3*d. Let i(u) = 30*u - 16*u - 12*u. Determine f(i(z)).\nAnswer: -18*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a litre in millilitres?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -82 - -51. Let d = y - -31.3. Which is the closest to 1? (a) d (b) -3\/8 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -34.9 + 33.34. Let j = 29.44 + -29. Let f = b - j. What is the biggest value in -5, -1, f, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - (-3)\/6)\/(126\/108)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -97.\nAnswer: 2\/97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + t + 3)*(3 - 3 - 3*t)*(34 + 8*t - 34 + t + 0*t + 0*t + (1 - t - 1)*(2 + 0 + 0) + 4*t + 0*t - 2*t + (3 + 1 - 3)*(1 + t - 1)).\nAnswer: -30*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 202, 27, -2?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 3*o**3 + 5*o**2 - o - 2. Is k(3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11437225\/96 - 119139. What is the common denominator of c and 11\/324?\nAnswer: 2592","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*12*(-16)\/64.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -2*j + 88. Let a be h(30). Suppose d + 2 = a. Which is smaller: d or 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 24*i - 32*i**4 - 3*i**2 - 64 - 22*i - i**2 - 67. Let t(d) = d**4 + 2*d**2 - d. Let u(w) = m(w) + 2*t(w). Find the first derivative of u(k) wrt k.\nAnswer: -120*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 4594.12695 microseconds?\nAnswer: 0.000000007596109375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1799305, -3598602, -5397885, -7197148, -8996385?\n\"Answer: x**3 + x**2 - 1799307*x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -5\/4*d - 3\/2 - 1\/4*d**2 = 0.\nAnswer: -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -4*r + 10. Let q(f) = -2*f**2 - 2*f + 9. Let t(g) = g**2 + g - 4. Let d(y) = r*q(y) + 5*t(y). What are the prime factors of d(5)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02379158 to three decimal places.\nAnswer: 0.024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence laaa when four letters picked without replacement from {a: 3, l: 13}?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 106861076 divided by -4.\nAnswer: -26715269","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 12 + 6 + 27 + -39\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -548 in 1\/2, 2, 43?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -18*s + 20*s. Suppose -k = 5*u - 0*k - 13, -s*u + 11 = k. Solve 6 = -0*i + u*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k + 5*q, -3*k + 2*q + 1 = -2. Suppose -3*f = -3*y - 2550, 538 - 3093 = -k*f - 2*y. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i + 254 - 303 = 3*c, 5*i = -3*c + 95 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1558\/(-114) + (-280)\/(-14)\nAnswer: 19\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (31 - 5) - 12.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -55 + (82 - 21) + 3\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5305883, 5305887, 5305891, 5305895, 5305899?\nAnswer: 5305903","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.26 + 1.26. Let u be (-2 - 4\/(-3))*3. Which is the second smallest value? (a) g (b) u (c) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 9*h = 576. Let t = h - -214\/3. Which is the biggest value? (a) 4 (b) -1 (c) t (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -69 divided by -230240?\nAnswer: 69\/230240","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 96 and 3678216.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (159\/((-76320)\/(-4928)) - 8\/30) + 2*5.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21337?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c + 2*q - 40, 4*c - 2*q - 83 = -15. Let f be c\/7 + 24\/(-42). Solve f*m - 6 - 4 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 3*b**3 + 47*b**2 - 31*b + 61. Let t(d) = d**3 + 16*d**2 - 10*d + 21. Let u(h) = -4*c(h) + 11*t(h). What is u(-13)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000004589747 to seven decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 25931 = -3*h, 3*h - 32*k = -33*k + 25925. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99) - ((-1*sqrt(99) - sqrt(99)) + sqrt(99) + sqrt(99))*3)\/(sqrt(9) + (sqrt(108) - -2*sqrt(108))\/sqrt(12)).\nAnswer: sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 4*g**2 + 4*g - 1. Let y(k) = 4*k**2 + 5*k. Let p(s) = 4*o(s) - 3*y(s). Is p(3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -373750832.4 rounded to the nearest one million?\nAnswer: -374000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.13 or -13.3?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1056 + 3869. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -25 - -22.8. Let u = l - 0.8. Which is the nearest to 2\/3? (a) -4 (b) -1\/3 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.22534 and 4271226.1.\nAnswer: 4271225.87466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 1249277600 to the nearest one million.\nAnswer: 1249000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -950*q**2 + 405*q**3 + 171*q**3 - 22*q**3 wrt q?\nAnswer: 3324","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1737 + 1736.8. Let k be ((-20)\/50)\/(6\/(-5)). What is the closest to k in -0.1, y, 4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -38678 or -43959?\nAnswer: -38678","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 + 23552463?\nAnswer: 23552467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - u + 4 = -2, 0 = 2*s - u - 18. Suppose -5*f + 2*f = -l - s, 4*f - 2*l - 12 = 0. Let g = f - -1. List the prime factors of g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20)\/(-92))\/((-230)\/(-184))*((0 - 0) + 1)?\nAnswer: 4\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let v = 37 + -33. Which is the second smallest value? (a) -7 (b) v (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3 + (-16)\/6)*21. Suppose 18 = -5*b + a*b. Suppose -66 - b = -5*p. Calculate the remainder when 58 is divided by p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9070 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-6)\/(-4))\/(65\/(-10) + 7). Suppose 4*g = p - 3*p + 480, t*g - 5*p - 360 = 0. List the prime factors of g.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-3\/4)\/u)\/(u\/(((u*u\/(u*u**(-26))*u)\/u)\/u))*(u\/(u*(u*u\/(u**25*u))\/u)*u)**25 assuming u is positive.\nAnswer: u**(2693\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 10938904\/9 equal to 1215433?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -3*i**3 - 44*i**2 - 168*i - 38. Calculate h(-7).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**3 - 6*i**2 + 7*i - 1. Let g be c(-7). What is the units digit of (-3 + 0 + -6)*g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1221754?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 - -54 - 43 - -21?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/30716 and -93\/280?\nAnswer: 307160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*z + 320 = 23*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -98052 divided by 3\nAnswer: -32684","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the third derivative of a**5\/30 + a**4\/24 + a**3\/2 + 13*a**2. Let g be n(-2). List the prime factors of 6\/g - (1216\/(-12) + 4).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - x + w + 9 = 0, -4*x + 2*w + 6 = 0. Let o be 634\/(2 - (-2 + x)). Suppose -9*q = -8*q - o. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qql when three letters picked without replacement from {l: 9, q: 5}?\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*l**2 - 23 + 23 + (3*l + 2*l - 4*l)*(-2*l + 2*l - 2*l) + (2*l**2 + l**2 - l**2)*(0 + 0 - 2) + l - l - l**2 - 1.\nAnswer: -4*l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 104 and 73736.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 - 2*w + 4*w - 20 - 4*w as x*w + h and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -24 + 8. Let h = m + 16. Let y be -3150*(6 - h)\/(-3). Round y to the nearest one thousand.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -144*p + 143*p = -120. Does 6 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 157*l - 342 - 1856. Solve 9*r - l = -32 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -8*b**2 + 152*b + 642. Let n(y) = 3*y**2 - 50*y - 214. Let u(v) = -11*n(v) - 4*r(v). Let l be u(-4). Solve -47 = -l*s - 57 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 44, 58, 84, 128, 196?\n\"Answer: a**3 + 7*a + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 5*a = 28, 6*a - 14 = i + 3*a. Let g(t) = 15*t**4 - 5*t**3 + 5*t**2 - 5*t. Let x(v) = -v**4 - v**2 + v. Let n(l) = i*g(l) + 10*x(l). Factor n(j).\nAnswer: 5*j*(j - 1)**2*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000012796 rounded to six dps?\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*v = -15*v - 76 - 12. Solve -4*a - 24 = -2*b, -3*a + v*b - 32 = 3*b for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12 - 2. Suppose 119 = 5*y - 3*z, 2*y - 14*z + b*z = 56. Let t = y - 11. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1107042, -1107050, -1107060, -1107072, -1107086, -1107102, -1107120?\n\"Answer: -y**2 - 5*y - 1107036","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.7 + -48684071\nAnswer: -48684071.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -3236, -5816, -8396, -10976?\n\"Answer: -2580*z - 656","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:09 PM and 2:27 AM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + i + 3)*(47 - 13*i**2 - 47).\nAnswer: -13*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r + 7*g + 29 = -35, 2*r - 7 = g - 5 - 16 for r.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -712*t + 341198 = -1331*t - 1767*t for t.\nAnswer: -143","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pmm when three letters picked without replacement from ppppmimmmpimpppmpp?\nAnswer: 25\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 7\/(3 + -1 - 1). Let l(t) = -t**2 + 1 - q*t - 1 - 3 + 0. What is the units digit of l(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-144)*-126*(-2)\/(-6).\nAnswer: 7\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/p**(4\/7))\/((p**(-8)*p)\/p*p*p))**(-3\/14))**(-1\/18) assuming p is positive.\nAnswer: p**(15\/196)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7846 - -11538. What are the prime factors of b?\nAnswer: 2, 13, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + 7 - 2) + (-1122 - -1198 - (29 - -1))?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -289*u - 3212 = -145*u - 70*u - 147*u for u.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 240, 156, 72, -12, -96?\n\"Answer: -84*s + 324","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3 - 0)\/(2\/(-2)). Let f(u) = -3*u + 2*u - 3*u + 16 + b*u. Let q(a) = 3. Give 2*f(o) - 11*q(o).\nAnswer: -2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 628?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/7, -7, 0.2, -0.3?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1710*c**3 - 1345*c**2 - 1688552*c - 5?\nAnswer: 10260*c - 2690","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fqbdbfqbb. What is prob of picking 1 b, 2 f, and 1 d?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 + 2a6982?\nAnswer: 2a6987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -16*(-11)\/154*1\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 + 0. Let c be k*(1\/(-5) - 54\/30). Find the third derivative of 23*d**2 + 2*d**6 - 15*d**6 - c*d**6 wrt d.\nAnswer: -2040*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1470\/103 or 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vemil. What is prob of picking 1 v and 1 l?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 274163?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75*o + 66*o + 81 = 0. Let p be (2 - 0)*(7 - o) + 36. Suppose 2*r = w - 34, 4*r + 282 = 5*w + 118. Is p < w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 - -5. Let q = 4 - y. Suppose q = 4*i - 818 - 26. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 5*m = -15, 2*m + 6 = -0*m. Let w be -2 + 18 - (2 - a)*-1. Solve 4 = x, s = -2*x - 3*x + w for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 8 = 6. Let b be s*(2 - 4) + 0. Find the second derivative of -10*h - 5*h**b + 5*h + 2*h wrt h.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 0 + 0)*(-v - 2*v + 2*v) + 2*v + 0 + 0)*(-3*v**2 - 2*v**4 + 3*v**2) + (-v**3 + v**2 - v**2)*(-3*v**2 + 2*v**2 - v**2).\nAnswer: -6*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 191459 is divided by 95669.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -2*n - 3. Let k be q(-5). Let w = 11 - k. Suppose p - w*s = 106, p + p = -3*s + 157. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.6249476305 to 5 decimal places.\nAnswer: 0.62495","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/3 and 62\/7075.\nAnswer: 21225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 0)*(2*j + j - 5*j)*(-32*j**3 + 7*j**3 + 10*j**3).\nAnswer: -30*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 433*t**3*x**3 + 2*t**3*x**2 + 400*t**3*x - 582*t**3 + 24711*t**2*x**3 + 5*x**2 wrt x?\nAnswer: 2598*t**3 + 148266*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/184*4 + 15360\/1104?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**2 + 3*z - 1. Let v be j(-3). Let q(a) = -a + 1. Let d(m) be the first derivative of -3*m**2 + 5*m + 1\/3*m**3 + 35. What is v*d(g) + 6*q(g)?\nAnswer: -g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1\/(-2))\/(3\/(-3))*6. Suppose 2*q + 5*b - 18 = 0, -q + b = -0*b - 2. Suppose q*m - 7 = -o. Let u(g) = -8*g**3 + g - 1. Calculate u(m).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*3*(-16)\/24 - 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 130 - 129.51. Let p = -0.29 + s. Suppose 4*x - 6 = 10. What is the nearest to p in -3\/8, 0.4, x?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -406 + 3273\/8. What is the common denominator of 91\/8 and d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**3 + 15*u**2 - 14*u**2 + 0*u + 3*u**2 + 4 + 2*u. Let j(h) = 3*h - 25. Let g be j(9). Let v(n) = n - 5. Let i be v(g). Determine r(i).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13065093 divided by 5.\nAnswer: -13065093\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -32499\/50 + 650. Let m = l + -123\/1150. Which is the second smallest value? (a) -0.5 (b) m (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -24\/85 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 144915.445 to the nearest 10000.\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 9*i**2 + 2*i - 2. Let d be g(-2). Calculate the greatest common divisor of 75 and d.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 2*g - j, -j - 50 = -5*g - 2*j. Solve -5*t = 3*n - 0*n - g, 4*t - 8 = -2*n for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 9*u**2 + 731924 + 11*u - 365955 - 365960. Let d(c) = 3*c**2 + 4*c + 3. Calculate -17*d(y) + 6*h(y).\nAnswer: 3*y**2 - 2*y + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 187.5 - 187.44. Let i be ((-2)\/(-4))\/(2\/(-8)). Let v = 19.9 + -20. What is the fourth biggest value in 0.5, k, v, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 48 and 2595762?\nAnswer: 20766096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 314 or 312?\nAnswer: 314","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(2 + -1) - 10. Let h(t) = -2*t**3 - 14*t**2 - 13*t - 6. Let o be h(z). What is the common denominator of 57\/5 and ((-8)\/54)\/(10\/o)?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from kwwk?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 7, -1, 27712, 4, -4.\nAnswer: -4, -1, 2, 4, 7, 27712","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 30724 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.5 (b) -2 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -50? (a) -3 (b) -0.2 (c) 2 (d) 36\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(-9)*f\/((f*f**(-2\/21))\/f)*f)\/(f**1\/(f*(f\/f**11)\/f)))**(-29) assuming f is positive.\nAnswer: f**(10295\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**3 + 21*f**2 + 30*f - 167. Calculate d(22).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 58*c**2 + 386*c - 450. Let p = -516 - -514. Let h(n) = n**3 + 2*n. Let t(j) = p*h(j) - y(j). Let t(k) = 0. What is k?\nAnswer: -15, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1565 in 0.5, -3, 0.12?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 times -3?\nAnswer: -207","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -103 - -96 - (-4 + 12 - 2)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -44*g**2. Let t = 226 + -222. Let n(b) = 10*b + t*b - 12*b + b. Calculate n(i(l)).\nAnswer: -132*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1753, -7005, -15759, -28015, -43773?\nAnswer: -63033","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/8*(-280)\/12145. Suppose 5*o - 3*s - 5 = -s, 0 = 4*o + 5*s + 29. Is h at most o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -28418729, -28418702, -28418675, -28418648?\nAnswer: -28418621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -10628945 >= -10628942?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 21 and 27192.\nAnswer: 190344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 142 - 142 - 9*m.\nAnswer: -9*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 378 = 4*h. Suppose -4*u + h = -u. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-66)\/8*28\/(-63) + (-4000)\/(-120)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -4*d**3 + 5*d**2 - 27. Let t(j) be the second derivative of j**5\/10 - j**4\/6 + 13*j**2\/2 - 552*j. Calculate -2*h(b) - 5*t(b).\nAnswer: -2*b**3 - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 79979183?\nAnswer: 43, 107, 17383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Express -11*t - 11 - 5*t**2 + 8*t + 10 + (0*t + t - 3*t)*(-10*t + 27*t + 65*t) + (3 - 5 + 3)*(-3*t**2 + 5*t**2 - 3*t**2) as v + d*t + o*t**2 and give o.\nAnswer: -170","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 6, p: 4, g: 1}. What is prob of picking 2 p, 1 x, and 1 g?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.04? (a) -1\/6 (b) -15 (c) 31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**2 - 77*s - 939. What is p(-11)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two fifths of a litre in millilitres?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(90\/(-48)) - -2)\/(-2).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -127379*j + 254806. Determine b(2).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the first derivative of d**4\/16 + 11*d**3\/6 + 601. Factor b(f).\nAnswer: f**2*(f + 22)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 88*l - 103. Determine q(-19).\nAnswer: -1775","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(75)*4.\nAnswer: 3 + 20*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -4*q**2 + q + q**3 - 4 - q + q. Suppose 3*h - 9 - 3 = 0. Let b be z(h). Solve -2*i - 3*i + 3*p = -6, b = -3*i - 3*p - 6 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-100)\/15)\/10*150\/(-40)\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 3798, -151 in descending order.\nAnswer: 3798, -3, -151","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 61 - 23)*(-2 + 3 - 2)*(-6*q - 4*q - 7*q).\nAnswer: 510*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 21238089241 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 10, -2, 5, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, -3, 2, -2\/17, 0.4?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1063614 to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 z when two letters picked without replacement from zgkggggtkggkggggkkg.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -36*i + 34*i + 42. Let f(w) = 2*w**2 - 43*w + 23. Let m be f(i). Let z = 5 + -1. What is the third smallest value in 1, m, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 3 (b) -4\/3 (c) 0.0983\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) -491 (b) 2 (c) 1\/45 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(170) + (sqrt(170) - (sqrt(170) - 2*sqrt(170)*6 - sqrt(170))) + sqrt(170))\/(-2*-1*sqrt(10)).\nAnswer: 15*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes before 7:14 PM?\nAnswer: 5:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/88 and -37\/2044.\nAnswer: 44968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -692? (a) -10 (b) -4 (c) 0 (d) -1 (e) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3597 = 5*f + 6*f. Let x = f - 79. Does 41 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 - -8. Suppose 148 = 4*c - 2*a, h*a = 3*a - 2. Let u = -370083 + 370087. What is the closest to 1 in u, 0.5, c?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*a + 165 = -316. Factor -32*t - 72*t - a*t - 11*t + 2*t**2.\nAnswer: 2*t*(t - 76)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 12 = -4*v, 3 + 0 = 2*u - v. Let t = -165 - -159. Let c be (u\/t)\/(3\/(-1089)). Calculate the highest common divisor of c and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -38630*g**2 + 36275*g - 1.\nAnswer: -77260","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the first derivative of -4*f**5\/15 + f**3\/3 - 1. Let h(v) be the third derivative of o(v). Is 13 a factor of h(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 474188 - 321896. Let c = d + -360385. Let m = -721907 + c. Round m to the nearest 100000.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 4*n**3 - 224*n**2 - 375204*n - 374976 = 0.\nAnswer: -279, -1, 336","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.79408 - 0.000491441.\nAnswer: 0.793588559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1193*h**3 + h**2 - 476*h wrt h.\nAnswer: 7158","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 16368*n**2 - 51 + 11*n + 52 - 16367*n**2 as t + q*n**2 + v*n and give v.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l**2 + 2*l - 2*l)*(8 + 16 - 53)*(-56*l**2 - 63*l**2 + 124*l**2).\nAnswer: 290*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-44 + 52 - 25)*(5*l + 3*l - 5*l) in the form o + n*l and give n.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1387 + 11662?\nAnswer: 12a39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -116 - -128. Suppose 260944 = 4*f + a*f. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**3 - 8*s**2 - 2917*s + 14646. Calculate i(5).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l - 3. Let o be m(5). Suppose 364 = -2*i + 9*i. Suppose -7*u + 17 = i. Put u, 3, o in decreasing order.\nAnswer: 3, o, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 292 and 169082.\nAnswer: 24685972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 169 - 303. Calculate the smallest common multiple of 3\/5 + o\/(-10) and 4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 14*c**2 - 117*c + 219. Give h(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**3 + 6*p**2 - p. Let m = -193 - -189. Calculate the lowest common multiple of l(m) and 40.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -51 - -56. Suppose z = -4*d + 38, n*z + d + 0*d - 114 = 0. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 315112 or 0.12?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/10 of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(16) - -1*sqrt(144)))\/(sqrt(800)*1 - sqrt(8) - (sqrt(8) - sqrt(24)\/sqrt(75))))**2 + 3.\nAnswer: 5843\/1681","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 199034 is divided by 2140.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 128 is divided by 57.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8 - 8 + 6*c**4 + (3*c**3 + 2*c**3 - 6*c**3)*(-5*c + 3*c + 4*c) + (-4*c + 4*c + c)*(3*c + 2*c**3 - 3*c) - 3*c**4 + 4*c**4 + 2*c**4.\nAnswer: 9*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1730.\nAnswer: 2, 5, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -2*m - m**2 - 2*m**2 - 2*m**3 - 4*m**2 + 5*m**2 - 1. Let v be o(-1). Find the second derivative of l - 7*l**3 - 1 + v + 0*l**3 wrt l.\nAnswer: -42*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/8, 1, 0.3, 68, -5, -0.08 in ascending order.\nAnswer: -5, -1\/8, -0.08, 0.3, 1, 68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 19 - -316970?\nAnswer: 316989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -8\/39 and -31\/52?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -60, -59, -60, -63, -68?\n\"Answer: -g**2 + 4*g - 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.056 + -65188.9616.\nAnswer: -65189.0176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 26345 = 188*f - 190*f, -2*f = -i + 26357. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 9656818 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g - 242*o + 232*o + 695 = 0, 3*g - o = -80 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 88 and 9944?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 2*x + 8 = 0, -x = w - 2*x - 8. Solve -11 = -3*b + a, -4 = -2*b - w*a + 8 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*i - 4*p - 11, -21 = -15*i + 17*i + 3*p for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5591 = -14*m + 1213. Suppose -m = 7*y - 808. Solve 3*v - y = -43 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8228552 to the power of 1\/2, to the nearest integer?\nAnswer: 2869","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 2*w - 5)*(9*w - 9*w - 3*w**3) + w**2 - w**2 - w**4.\nAnswer: -7*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/(-60)*(-18)\/6*4700\/47.\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3*(-8)\/(-18) + 56\/(-12). Let l(b) = 2*b + 18. Give l(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1396 and 5761292.\nAnswer: 1396","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the first derivative of -s**5\/100 + s**4\/30 - s**3\/30 - 4*s + 2. Let u(o) be the first derivative of w(o). Let u(j) = 0. Calculate j.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*o**2 + 3*o**2 - o**2 + (3*o - 3*o + 2*o)*(-3*o + 3*o + o) + 3*o**2 - 3*o**2 + o**2.\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4511 to the power of 1\/2, to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**1\/v**(-6)*v**(-6)\/(v\/((v*v**(-2)*v)\/v)) assuming v is positive.\nAnswer: 1\/v","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a\/a**8*a)\/a)\/a*a*a*a*a**(-5))**21\/(a**7\/a**(1\/3))**27 assuming a is positive.\nAnswer: a**(-369)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -12245.5 rounded to the nearest 100?\nAnswer: -12200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5878*h + 5877*h - 3*p + 169, -3*h = p - 531. Calculate the remainder when h is divided by 50.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -c6 - 176?\nAnswer: -23c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1624\/(-8624) + 13\/286?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in j - j - 812*j**3 + 2027*j**3 - 1031*j**3.\nAnswer: 184*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*j = -19 - 81 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 119.3 + -118.783. Let x = 0.117 - d. What is the closest to 4\/5 in x, 0.3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -14569*r - 699324. Determine d(-48).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.031*-2741336\nAnswer: 84981.416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1*1*(-2 - 5). Let j = h + 2. Calculate the common denominator of -59\/4 and 6\/j*(-165)\/(-14).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 27340*o - 6. Let d(q) = 248848691*q - 54614. Determine -3*d(p) + 27307*t(p).\nAnswer: 27307*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-33)\/(-88))\/(15\/6 - 3).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*k**2 - 5*k**3 - 138*k + 5*k**2 - 15*k - 164*k + 31*k wrt k.\nAnswer: -30*k + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * -13847\nAnswer: 5538.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -559 + 471 - ((-10 - -5) + (-3 - -15)) - 11.\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 836275 is divided by 460.\nAnswer: 455","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 37*q**3 - 2*q - 74 + 3*q + 30 + 19 + 29 to the form v*q + l*q**2 + j + y*q**3 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 1261*j - 4. Is a(1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the third derivative of -u**4\/24 + 4*u**3\/3 - 2*u**2. Calculate the lowest common multiple of s(0) and ((-7)\/35)\/((-1)\/20).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 - a3b55?\nAnswer: -a3b56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**3 + 339*t**2 - 64515*t + 2023725.\nAnswer: 3*(t - 55)**2*(t + 223)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**2 - 12*y + 7. Suppose 35*f = -78*f + 1017. Give q(f).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the third derivative of 0*c**4 + 0*c**3 + 0 + 0*c - 1\/10*c**6 + 1\/30*c**5 + 149*c**2 - 2\/105*c**7. What is the third derivative of m(u) wrt u?\nAnswer: -96*u - 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2254862 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 3*w + 3*z + 78 = 0, -3*w + 117 = 5*z. Let x(l) = -l**2 + 4. Let h be x(0). Let y be h\/(-14) + 93\/7. What is the greatest common factor of y and w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hkhhhodokdd. Give prob of sequence odkh.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*13.79.\nAnswer: -1.379","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 5979 and 0.393916926?\nAnswer: 5978.606083074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1700 divided by -340\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 382, 766, 1166, 1588, 2038, 2522?\nAnswer: 3046","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1443.\nAnswer: 3, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 3*n**2 - 2*n + 2. Let q(s) = -15*s**2 + 3 - 2 - 7 - 5 + 11*s. Let o(t) = 6*q(t) + 33*x(t). Let v(f) = f. What is v(o(b))?\nAnswer: 9*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the second derivative of m**4\/2 - m**3\/3 + 3*m**2\/2 - 3*m. Calculate the remainder when l(2) is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 362 less than or equal to 2536\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (18\/36)\/(2\/8). Suppose 0 = -4*k - 5*w + 157, 3*k - i*w - 111 = w. List the prime factors of (k*(-3)\/9)\/((-10)\/15).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vve when three letters picked without replacement from mevtmmvavavv.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0\/2)\/(-4 - -2). Suppose v = x - 2*x + 18. Suppose -4*t + 3*r = r - x, -6 = 2*t + 4*r. Solve -2*y = -2*p + 4, 0 = 5*p - 4*y + t - 14 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -140 - -178. Suppose -1905 = -4*c - 0*f - f, 5*f - 25 = 0. What is the highest common factor of l and c?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:02 PM and 1:11 AM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 14) in base 7?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 37 - 40. Let a = v + 5. Is 4230\/42 - a\/(-7) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 5*n + 0*n - 195 = 0, 1056 = -5*q - 2*n. Let p be (-14)\/8 - (-129710)\/(-952). Let m = p - q. What is the greatest common divisor of 36 and m?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -21*q**6 - 5*q**5 + 3*q**2 - q - 1. Let f(z) = z**6 + z**2 + z + 1. Let k(a) = -f(a) - p(a). Find the third derivative of k(n) wrt n.\nAnswer: 2400*n**3 + 300*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49620 is divided by 67.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(50)*1 - sqrt(648))*-4*-3)**2.\nAnswer: 48672","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**3 - 3*q**2 - 2*q - 3. Suppose 6*n + 32 - 8 = 0. Calculate i(n).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m**5\/9 + 9232*m**4\/9 + 33614*m**3\/3 - 2154748*m**2\/9 + 1806040*m\/9 + 1350800\/3 = 0 for m.\nAnswer: -4605, -22, -1, 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -836564 divided by 10202.\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -103\/21 - -39\/7. Let m(f) be the first derivative of 2*f**2 - x*f**3 + 0*f + 1\/3*f**6 - 3\/2*f**4 + 2\/5*f**5 + 6. Factor m(i).\nAnswer: 2*i*(i - 1)**2*(i + 1)*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 43.55 + -42.5665. Let r = -0.96 + q. What is r rounded to 3 dps?\nAnswer: 0.024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6 and 6054?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1742 + 3366. What is the tens digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/5 of a millennium in years?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * 8788263\nAnswer: -1757652.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 6770 at most 6789?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 211341 (base 5) in base 16?\nAnswer: 1bb8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*k + 3*k - 2*k**2 + (298*k - 298*k + 37*k**2)*(-4 - 3 + 6).\nAnswer: -39*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 1)*(-3 + 5 - 4)*(-6*b**2 + 3*b**2 - 2*b**2) + (3 - 3 - b)*(5*b - 4*b - 2*b).\nAnswer: -19*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 5*n - 1800 = 1386, 784 = z - 5*n. Is z a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -3, 1153, 0.3, 3\/5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 2*p = x - 62, -2*x = 0. Let b = -19 - p. Suppose -u - 20 = -2*u. Calculate the lowest common multiple of u and b.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1711?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 5*q = -100. Is 5 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -42 + 42. Suppose 4*h + 251761 + 1028239 = t. Round h to the nearest 100000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 92175 or 91566?\nAnswer: 92175","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 12*p**2 - 41*p. Let j(y) be the third derivative of -y**4\/12 + 1607*y**2. Give k(j(u)).\nAnswer: 48*u**2 + 82*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.05? (a) -148 (b) 35 (c) 1 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v - 5*p - 8, p = -v + 5 + 6. Suppose 36 = 3*q - 4*s, -3*s = 2*q - 17 - v. What is the highest common divisor of 36 and q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/120*-2)\/((-5)\/(-20)).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w - 6 - 3. Let n be 18 - -1 - (w - -2). Suppose 5*g - n = 0, -3 - 17 = -2*f - 5*g. Solve q + q - 8 = f for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -18 smaller than -16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -5*k + 79, 4*f - 11 = -k + 3*f. Solve 2*x = t - 13, -2*x - 2 = -2*t + k for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 - 5.47. Let k = -6.73 + p. Let u = 7 + k. Which is the second biggest value? (a) -2 (b) -0.4 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 433 by -3.\nAnswer: -433\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -7*w**2 + 6*w + 30. What is m(-2)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-8)\/(-20))\/((-6)\/(-15)))\/(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 125543 is divided by 1460?\nAnswer: 1443","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 20\/9, -5, 0.5, 2\/15?\nAnswer: 20\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 6240*t**2 + 6*t + 13*t + 297*t**2 - 19*t in the form p*t**2 + l*t + j and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes after 8:32 AM?\nAnswer: 12:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(8\/359) + (-22)\/(-176). Let w = t - -149. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23\/8 of a centimeter in micrometers?\nAnswer: 28750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 1) + 28\/21\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u**4 + 1865966*u**3 - 435225840182*u**2 - 1305694314294*u = 0.\nAnswer: -3, 0, 466493","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (22\/4 - 5)\/((-3)\/1422). Let k = 204 - u. Is k a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 80 - 26.\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -161902 by 1295.\nAnswer: -161902\/1295","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1893405 is divided by 66.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - 18 = 355*h - 358*h, -4*h + 18*a = -52 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 25*o + 6*o - 10*o + (2 + 0 - 4)*(3*o - 5*o + 0*o) + 0*o - 4*o + 2*o + 5*o - o - 2*o - 1 + 2*o + 1.\nAnswer: 27*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve b = -45, 7*k - 166*b + 30*b - 6114 = 10*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 153165*j - 79166*j - 74007*j.\nAnswer: -8*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1*((-2)\/(-35)*-2)\/(18\/21)\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.2 and 739169.\nAnswer: 739169.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 770, 1524, 2280, 3044, 3822?\n\"Answer: f**3 - 5*f**2 + 762*f + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -2*a - r, 3*a + 0*r - 51 = -3*r. Suppose -14*f = -4*f - 30. Solve -f*y = -0*y + a for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*u - m + 38 = -7*u, 2*m + 32 = 3*u. Let c be 2*3\/u*0. Solve 0 = -c*g + 2*g + 4 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3336*f - 2*f**3 - 1657*f - 1679*f.\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 3 = -n. Let z be 2\/(-6)*(-5 + -1). Suppose -z*s + x = 2*x - 18, -3*x + 36 = 4*s. What is the highest common factor of s and n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 608595 less than 608596?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**3 - 7*x**2 + 8*x - 8. Let d be z(6). Suppose d*n = n - 15. Let o = 2 - 4. Sort n, o, 5 in descending order.\nAnswer: 5, o, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1681779031 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 427*f - 401*f = -208 for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 221 + 22?\nAnswer: 243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17834341.\nAnswer: 7, 53, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 7 = -s - r, -4*s = 4*r - 20. Let o(f) = 6*f**2 + 11*f - 3. Let d(b) = -b**3 - b. Let a(z) = s*d(z) + o(z). Is 14 a factor of a(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.053 - -0.05601. What is b rounded to 3 dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the first derivative of 2*j**3\/3 + j**2 - 4*j - 6. What is the tens digit of f(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 697665565?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2, -106, -2\/5, -2\/17, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9362825 is divided by 415.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 317460 a multiple of 260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*g**4 + 196281*g**3 - 28130397*g**2 - 56849625*g - 28522950 = 0. What is g?\nAnswer: -65570, -1, 145","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in 4, -2\/11, -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-28 + 38)*(-2798)\/(5 + (-6 - 3))?\nAnswer: 5, 1399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 360\/160*2\/(-3).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 424 + -420. Differentiate -33 + 28*z - q*z + 146 wrt z.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 11 - 9 = 0. Suppose -3*p + 3*n = -576, p = 4*p - f*n - 580. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*s - 4*s + 0*s)*(28 + 5683*s - 11387*s + 5693*s) to t + r*s**2 + a*s and give r.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/16 and 36\/48*52\/51.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 378744 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve j = 4 - 9 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 15, 10, 5, 0?\n\"Answer: -5*p + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0031095749 rounded to four dps?\nAnswer: -0.0031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 185505?\nAnswer: 3, 5, 83, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**2 + 35*c - 85. Determine l(33).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**2. Let c(g) be the first derivative of -3*g**2\/2 + 155*g + 479. Give c(l(i)).\nAnswer: 3*i**2 + 155","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 54 = m. Calculate the remainder when m is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-837)\/62)\/((-7)\/(-2))\nAnswer: -27\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pncuyqnp. What is prob of picking 1 c, 1 p, and 1 u?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oj when two letters picked without replacement from jmouuummouuju.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r - 2*r - u, -r - 3*u = 0. Which is smaller: 2\/89 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 57.834 - 58. Round c to one dp.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -116.0000235 - -116. Round r to 6 dps.\nAnswer: -0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -2*q + 15*q - 6*q - 4*q. Let u(t) = 16*t. Determine u(m(s)).\nAnswer: 48*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.193 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -497274 from -1.4394.\nAnswer: 497272.5606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.1 (b) 0 (c) -14 (d) -2\/5 (e) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**3 + 5*s**2 - 3*s + 6. Give a(5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.04 (b) -61 (c) -0.5 (d) -2\/7 (e) 1 (f) -2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 488 and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 2*y**3 + 3*y**2 + 2*y + 2. Let z be c(-2). Let b = z + 76. Is (b\/25)\/((-4)\/(-120)) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.05702 and 0.6.\nAnswer: -0.034212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 - -1. Let h = 58.206 + -58.086. Which is the biggest value? (a) h (b) f (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15 (base 11) to base 6.\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 76481 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10321\/7 - 1480. Find the common denominator of -31\/13 and k.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*g**3*n**3 - 85*g**3*n - 2*g**3 + g**2*n + 29*g*n + 104*g + 11327162*n**3 - 4*n wrt n?\nAnswer: 36*g**3*n + 67962972*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 321*s - 62. Let q(i) = 7*i - 82. Let f be q(13). Is c(f) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1027 divide 57594160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 7 divided by 12044\nAnswer: 7\/12044","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in b - 123 + 291 - 35.\nAnswer: b + 133","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*o**5 - 34*o**2 + 36*o**2 + 7*o**5 + (-5*o + o + 12*o)*(0*o**4 + o**4 + 0*o**4).\nAnswer: 12*o**5 + 2*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**3 - 2*m**2 + 2*m - 1. Let y be n(-3). Let a(t) = -t - 4*t + y*t. Let s(x) be the second derivative of x**3\/6 + 11*x. Determine s(a(v)).\nAnswer: -3*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zkz when three letters picked without replacement from {k: 1, a: 2, z: 5, e: 1, l: 1}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 - -1114c189?\nAnswer: 1114c186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the third derivative of -87*g**8\/28 - 137*g**4\/24 - 68*g**2 + 3. Find the second derivative of b(f) wrt f.\nAnswer: -20880*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:07 PM and 5:03 AM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**3 + 12*n**2 - 12. Let x be c(-12). List the prime factors of x*(-4 + (-8)\/(-12)).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2165 and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*y + 2*y**2 + 0*y**2 - 3*y**2 + 1 + 2*y**2 - 3*y**3 to s*y**3 + z*y**2 + t*y + b and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 7*n + 2 - 6*n + 1. Let q be k(-11). What is the tens digit of ((-29)\/2)\/(4\/q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 3*k = 12. Suppose -j + 18 = k. Solve 3*v - 6*v - j = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 35, 72, 167, 350, 651, 1100?\n\"Answer: 5*j**3 - j**2 + 5*j + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 289 = -3*x - 5*n, 15 = -3*n. Let k = 529\/6 + x. Factor 0*s - k*s**2 + 0.\nAnswer: -s**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d + 4*m + 488, -3*m = 1 + 5. Suppose 4*x + x - d = 0. Is 4 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 4, h: 9, p: 1}. What is prob of picking 2 u and 1 p?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*a**3*p**3 - 22*a**3*p - 1553*p**3 - 343 wrt p?\nAnswer: 30*a**3*p - 9318*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - -3) + (-2 - 4 - (8 - 16))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-5 - -12)*11\/4 and 97\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the first derivative of 13*x**4\/4 - 13*x**3\/3 + 17. What is the third derivative of c(s) wrt s?\nAnswer: 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 249955 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/56608 and 36?\nAnswer: 56608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1725*o - 14474 - 265599 = 1048*o for o.\nAnswer: -101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(-12)*3*0. Sort z, -1, 2 in ascending order.\nAnswer: -1, z, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1410 is divided by 123?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 2892.993 weeks?\nAnswer: 1749682166400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**3 + 4*m**2 + m - 3. Let s be u(4). What is the tens digit of 72\/8 - (-3 + s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 317 is divided by 32.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.14 + -0.04. Let p = -51.8 + 52.8. What is the nearest to -1 in -0.4, d, p?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3400996 is divided by 44744?\nAnswer: 452","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 4 = -0*c. Let y = 0 - c. Solve 2*z - y*p + 16 = 0, -4*z - 2*p - 8 - 6 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42933 is divided by 206?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1403 - -1406.987. Round r to 1 decimal place.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/(-14) + (-160)\/28. Let m(k) = 669 - 3*k - 3*k + 667 - 1327 + k**2. List the prime factors of m(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -3*t - 7938, 2*t + 2*t + 3*d = -10579. Let g = t + 15949\/6. What is the common denominator of -83\/10 and g?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11518*t - 746941*t - 438112*t.\nAnswer: -1173535*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 2*w**2. Let r(x) = 2*x**2 - 5*x + 3. Let h be 14\/4 + (-36)\/(-24). Let c be r(h). Let i(m) = -14*m - 28 + c. What is i(q(t))?\nAnswer: -28*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r and 1 o when four letters picked without replacement from orrrrrorrrrrrro?\nAnswer: 44\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*t**3 - 248635*t**2 - 3554629680*t - 11056335016860.\nAnswer: -5*(t + 4283)*(t + 22722)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a millennium in months?\nAnswer: 63000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -892 - -1536. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 9*o - 191 = -7*o, -2*y + 72 = -3*o. Calculate the least common multiple of y and 24.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**22*y)\/(y*(y\/((y**(-17)\/y)\/y))\/y))**(1\/8) assuming y is positive.\nAnswer: y**(3\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 29123, 58270, 87421, 116576, 145735, 174898, 204065?\n\"Answer: 2*w**2 + 29141*w - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 + 5a?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -155 divided by 94\nAnswer: -155\/94","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.312 - -181.688. Let d = -181.999805 + m. Round d to 5 decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6 - (108\/26 - (-6)\/(-39)). Suppose z + w*z = 4*m + 30, -4*m - 22 = z. List the prime factors of ((-422)\/4)\/(4 + 27\/m).\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the first derivative of -p**4\/4 + 5*p**3\/3 + 4*p - 1. Let a be r(5). Solve -a = -5*t + 6 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -167 + 284. What is the smallest common multiple of (-1)\/6 + 3 + 186\/36 and o?\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 39 = p. List the prime factors of (-10)\/65 - (-171)\/p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110010332 (base 4) to base 7.\nAnswer: -461522","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.1 + -0.1. Let z = l + -2.1. Which is greater: 1\/4 or z?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -5570951, -5570954, -5570957?\n\"Answer: -3*m - 5570948","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9829\/147 or -2?\nAnswer: -9829\/147","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*k + 12*k + 4 = 0. Let f = 12 + k. Suppose 0 = -m + f - 1. Is 7 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(175) - (-1 + sqrt(175) + -3 - sqrt(175)))*-5 + -2 + 0 + sqrt(175) + -5 + sqrt(175))**2.\nAnswer: 810*sqrt(7) + 2304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 - 1)*(0 - n + 0) - 2*n + 1 - 1 - 33*n + 10*n - 13*n in the form y*n + m and give y.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 3*i = 7, 3*h = 5*i - i + 19. Let u = h + 0. Solve 0 = o - 2*o + u for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/3)\/(10\/75). Let z = -3 - n. What is the second derivative of -l + l**2 - 2*l**z + 2*l + l wrt l?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (105\/(-175))\/((1275\/136)\/25).\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) 1 (c) -1\/4 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -y + y + 63*y**2 - 69*y**2.\nAnswer: -6*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1361, 1359, 1357?\nAnswer: 1355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add -2.8 and -9453853.\nAnswer: -9453855.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1754931.\nAnswer: 3, 67, 8731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 92007 a multiple of 302?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(70) - 2*sqrt(70)))\/(-2*sqrt(250)).\nAnswer: -3*sqrt(7)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z - r + 26115, 18*r - 17*r = -3*z + 39169. Calculate the highest common divisor of 642 and z.\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**3 - 33*m**2 - 32*m + 12. What is the lowest common multiple of 48 and s(34)?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 164546*w**3 - 3*w**2 + 20*w + 413 wrt w?\nAnswer: 987276","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -4*z - 21, -v + 7 = z + 2*z. Suppose v*a + 132 = 17*a. Calculate the remainder when 92 is divided by a.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1864?\nAnswer: 2, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.01*0.45\nAnswer: 0.0045","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 4*g - 20 = 0, w - 154*g - 4 = -155*g. Suppose 4*p + p - 25 = 0. Suppose l - w*l - 20 = -p*c, -5*l = 0. Solve -3*f = -c*f - 2 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 - bad8b?\nAnswer: -bad89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.2, 0.06, 0.2, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -28*m + 15*m + 20*m + 3*m + 3*m - 4*m + (2*m - m + m)*(0 + 0 + 1).\nAnswer: 11*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the second derivative of -k**5\/4 - 25*k**4\/4 - 95*k**3\/3 - 60*k**2 - 2449*k. Find j, given that x(j) = 0.\nAnswer: -12, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.066888 - -797.863112. Let m = h + -793. Let c = 5 - m. Round c to 2 decimal places.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.11, 2\/65, -0.3?\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.13 - 1.23. Let q = 23\/15 + -6\/5. Which is the nearest to q? (a) 5 (b) s (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the third derivative of -173*s**5\/60 - 182*s**3\/3 - 162*s**2. Differentiate n(c) wrt c.\nAnswer: -346*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(32)*1)\/sqrt(2))\/((sqrt(96) + sqrt(96)*3)\/sqrt(12)) - (sqrt(36)\/sqrt(2)*1 - (0 + sqrt(32) + 2)).\nAnswer: 5*sqrt(2)\/4 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**3 - 5*c**2 + 6*c + 1. Suppose -3 = -6*w + 3*w. Let y(s) be the second derivative of -s**4\/12 + s**3\/6 + 2*s. Determine w*b(v) - 5*y(v).\nAnswer: -v**3 + v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18084?\nAnswer: 2, 3, 11, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7176, 14354, 21534, 28716, 35900, 43086, 50274?\nAnswer: 57464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*h - 52 = 71*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 6, t: 4, x: 4}. Give prob of sequence xtx.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1462797433 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**2 - 8*o - 12. Let v be 168\/105 + 4\/10. Suppose -v*m + 4*a = 8 - 4, -4*m + 3*a - 18 = 0. Determine z(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 198 and 154.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1922 or 1946?\nAnswer: 1946","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7091*v - 7119*v + 232624. Calculate the least common multiple of v and 16.\nAnswer: 33232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35873447 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 2*x + 1. Let o(k) = -12*k - 6. Let a(r) = -r**2 + 7*r + 2. Let m be a(8). Let l(g) = m*o(g) - 34*j(g). Differentiate l(f) wrt f.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3549613 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -92*s + 4723*s + 29965*s.\nAnswer: 34596*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3\/133 or -1?\nAnswer: -3\/133","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -221434013 + 213.64.\nAnswer: -221433799.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 l, and 1 m when three letters picked without replacement from bslsbbsbbrbmll?\nAnswer: 9\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4*(0 - (-18)\/8). Let k be 498\/(-5)*(-7 - 114\/(-12)). Let t = k - -263. Solve -2*o = -3*i + 2, n*o - 4*o + t = 3*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = n + 3*g - 2159, g = 2*n - 4283. Is n a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.05 + -0.03. Let w = c + -0.22. Which is bigger: -1 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 3535?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19414.\nAnswer: 2, 17, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.08 - -145.\nAnswer: 145.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 89784 and 464?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1\/6 (b) -1\/2 (c) -0.36 (d) -6.2 (e) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4, -2, -6, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 506, 516, 522, 524, 522, 516?\n\"Answer: -2*a**2 + 16*a + 492","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3\/(-21) + (37598\/7 - (-4)\/2).\nAnswer: 3, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 142445092 to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2448665426.\nAnswer: 2, 73, 16771681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-9)\/6*1392\/(-36). Suppose -56*u - 156 = -v*u. What is the highest common factor of 13 and u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -245958435 divided by -49191687?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 6*i**2 - 8*i - 8. Suppose 0*x - 2*x - 6 = 0. Let p = 8 + x. Let g(c) = -4*c**2 + 5*c + 5. Determine p*r(w) + 8*g(w).\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2c6027 + 27?\nAnswer: 2c6051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1404*u - 15360 = -1660*u for u.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 1585781319 to the nearest 100000.\nAnswer: 1585800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -24526 - -24527. Suppose -2*d - 4*g + 139 = d, 3*d = -2*g + 131. Calculate the highest common divisor of d and a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1774167378 to the power of 1\/3, to the nearest integer?\nAnswer: 1211","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12 and 122514?\nAnswer: 245028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-14)\/(-28))\/((-1)\/6).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -41 + 87. Let m = 46.5 - q. Let d = -0.1 - -5.1. Which is the closest to -0.2? (a) m (b) d (c) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8\/80955 at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -664*z - 303 = -436*z + 8133 for z.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101041310 (base 5) to base 16.\nAnswer: -63d7b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(637)*-1.\nAnswer: -7*sqrt(13) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -52*z + 620. Let q(b) = 23*b - 310. Give -3*g(n) - 7*q(n).\nAnswer: -5*n + 310","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 3427751 (base 10) to base 11\nAnswer: 1a31358","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**3 - 43*m**2 - 38*m + 119. Determine z(-42).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 123001 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xk when two letters picked without replacement from xbkwkkiiwkbkkiwkkk?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 8991 divided by 81\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 101300 to the power of 1\/2, to the nearest integer?\nAnswer: 318","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the first derivative of -66*s**5 + s**2\/2 + 390*s - 148. Find the second derivative of n(v) wrt v.\nAnswer: -3960*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 335 - 336. Is (n\/2)\/(30\/(-216060)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in fourty-nine quarters of a meter?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 652608?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-61 + 74 + -11)*(-22)\/4?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 5*j + 12 + 0 = 0, -20 = -5*u + 4*j. Suppose 26 = -u*k - 2. Let w(z) = -4*z**2 + 8*z. Let v(s) = 4*s**2 - 7*s. Calculate k*v(p) - 6*w(p).\nAnswer: -4*p**2 + p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 29586?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 2*o**2 + 8*o - 7. Let g be p(-8). Suppose -3*w + 15 = g. What is the units digit of 1095\/35 - (-4)\/w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -70 - -75. Let p = -7 + 103\/15. Let z = 2.8 - -0.2. Sort -3, p, k, z in descending order.\nAnswer: k, z, p, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 45 and 95715?\nAnswer: 95715","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 1946 divide 3394147731?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 2*u + 109 = -6*p, p + 5*u + 32 = 0. Let q = -58 - p. Let k = 8177\/16346 + -2\/8173. Which is the biggest value? (a) k (b) q (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -247*x + 967*x + 622*x + 349*x as k*x + l and give k.\nAnswer: 1691","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/92 and -53\/460.\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 28891? (a) 2 (b) 3\/5 (c) -1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**3\/2 + 66*i**2 - 6441*i\/2 - 3285.\nAnswer: 3*(i - 30)*(i + 1)*(i + 73)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1397*f*x**4 - 1381*f*x**2 + 3*f*x + 5*x**4 + 1 wrt x.\nAnswer: -33528*f*x + 120*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2558?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*w - 2*w - 5*w**2)*(7 + 0 - 6)*(-216 + 15*w + 216) as s*w**2 + x*w**3 + h + a*w and give x.\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - 7 = -5*k, r + 8*k - 3*k - 11 = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3217 is divided by 104?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fourty-two fifths of a decade?\nAnswer: 1008","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k + 5*k + 2*k)*(-21*k**4 - k**3 - 2*k**4 + 30*k**4 - 1).\nAnswer: 56*k**5 - 8*k**4 - 8*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 15468.51946 plus 0.049?\nAnswer: 15468.56846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * -2.65365.\nAnswer: 0.265365","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yzzz when four letters picked without replacement from {y: 7, z: 9}?\nAnswer: 21\/260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes before 5:14 PM?\nAnswer: 12:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 9901 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -5*y**4\/3 - 1015*y**3 + 146015*y**2\/3 - 247885*y - 297570 = 0?\nAnswer: -654, -1, 7, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is a3 (base 14) in base 15?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + -3 + (20 - 3 - 22)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**3 - 3*t**2 + 19*t + 16. Let q be h(-6). Calculate the common denominator of 41\/14 and (-1165)\/(-120) + q\/15.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -3*k + 9, 6 = -p - 2*k + 2. Let n(i) be the second derivative of 3\/2*i**3 + 0 - 4*i - 4*i**2 - 1\/12*i**4. Calculate n(p).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -63ab - -10?\nAnswer: -639b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence od when two letters picked without replacement from udododdudu?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -441*y - 11388 = -3*y for y.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: dae6 (base 15) to base 10\nAnswer: 46341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 3.807042 months?\nAnswer: 0.0003172535","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d**6)\/d*(d\/(d*d**5*d)*d)\/d)\/(d\/d**(-2\/5)*d**(2\/3)))\/(((d\/((d\/d**9)\/d))\/d)\/(d*d**(-1\/2)))**(-31) assuming d is positive.\nAnswer: d**(7843\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u + 13. Let m be n(-11). Suppose v + 3 - m = 4*i, 3*v = -i + 10. Which is smaller: 3\/13 or i?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the second derivative of -n**3\/6 - 113*n**2\/2 - n. Let q be u(0). Let f = -79 - q. What is the remainder when f is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -129 in 4\/11, 0.5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*i + 6*i - 8 + 6*i)*(6*i**3 + 11*i**3 - 6*i**3) + 2*i**2 + i**4 - 2*i**2 to v*i**2 + n*i + j*i**4 + s + m*i**3 and give m.\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5263887nm to centimeters.\nAnswer: 0.00000005263887","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**3\/2 + 57*u**2\/2 + 395*u\/2 - 3525\/2.\nAnswer: (u - 5)*(u + 15)*(u + 47)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - 26 = -6, 5*h - 19 = 3*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/((-10)\/(-8)))\/(166\/(-3320))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -26 (base 13) to base 2.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in six fifths of a micrometer?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -243*h**2 - 4*h + 10. Let f(r) = 5*r - 30. Let n be f(7). Let j(b) = 242*b**2 + 4*b - 9. Let w(x) = n*q(x) + 6*j(x). Is w(1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 104 is divided by 28.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 + 1.9. Let k = 0.08 + -1.78. Let u = r + k. Round u to 0 dps.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**4 - 92800*b**3 - 2165174752*b**2 - 566764492800*b - 37300041605376.\nAnswer: -(b + 132)**2*(b + 46268)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(1377) + sqrt(1377))*4*6 + sqrt(1377) + 1 + 5 + -1 - (-5*(sqrt(1377) + -1)*5 - -4*(1 + 1*sqrt(1377))))**2.\nAnswer: -60480*sqrt(17) + 6749604","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -16*x + 38. Let c(n) = -19*n + 50. Let b(o) = -5*c(o) + 6*h(o). Calculate b(-10).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 0 + -4*sqrt(5).\nAnswer: -4*sqrt(5) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -67 + 91 + -65 - (-39 - -3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10076003 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -c - x, c + 31 - 12 = 5*x. Suppose -c*z = -3*z - 2256. Suppose 1987 - z = 5*j. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the third derivative of u**5\/30 - u**4\/6 - u**3 + 4*u**2. What is the tens digit of w(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2 + 2)*4\/8. Let j = 10 + -6. Solve 3*f - j*z = -8, z - 2 = 3*f - d for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1068?\nAnswer: 2, 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 162510600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -726.8273501 to the nearest integer.\nAnswer: -727","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1103 - -1091. Which is the fourth smallest value? (a) 14 (b) -3\/5 (c) 0.4 (d) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 148, 586, 1026, 1468?\n\"Answer: b**2 + 435*b - 288","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(1331)*1)**2 + ((sqrt(1331) + (-2 + sqrt(1331) - sqrt(1331)) - sqrt(1331)) + sqrt(1331))**2 + 5 - (-2 + 5 + sqrt(1331) + 5*(sqrt(1331) + -3)).\nAnswer: -110*sqrt(11) + 2683","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 16911019 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 - -4. Let v be (-14)\/21*(-3)\/2 - c. Let b be (-112)\/(-18) + v + 33\/(-27). Solve 15 = -3*i + b*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (3 - (-4 + 1 - -6)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 92 a factor of 9282102?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 7063*n + 18 - 7066*n - 48. What is w(-8)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 12*w + 20. Let k be t(9). Let a be 2\/8*k\/144. Let 0*z + 4\/9*z**3 + 0*z**2 - 2\/9*z**5 + a*z**4 + 0 = 0. Calculate z.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + (0 + 2 - -6) + 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 1810.03 to the nearest 10.\nAnswer: 1810","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**2 + 12*r - 7. Let c be t(7). Suppose -c*p + 30*p = 308. Suppose 0 = -x - 59 + p. Is x a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 70 (base 11) to base 2\nAnswer: 1001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 42 - -13. Suppose 4*i + d = 3*f, -5*f + i - 26 = -112. Is f a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -581744, -1163493, -1745240, -2326985?\nAnswer: -2908728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 + -101?\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*-3*1*20\/(-15)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 12411 - -103747\nAnswer: 116158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -79, -114, -181, -286, -435, -634, -889, -1206?\nAnswer: -1591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -143*h**2 + 143*h**2 + 22*h**3.\nAnswer: 22*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -3*b**2. Suppose 258 = -2*f + 88*f. Let a(m) be the first derivative of -4\/3*m**f + 0*m**2 + 0*m + 11. Give a(i(p)).\nAnswer: -36*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/57 in 4, 1006402, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25392.5469 minutes to weeks.\nAnswer: 2.519101875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 3*w - 4. Let b(a) = 15*a - 21. Let x(m) = -2*b(m) + 11*z(m). What is the remainder when 29 is divided by x(6)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1367 - -2771. Is 54 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 263 is divided by 24.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*v + 7 - 4*v + v - 14*v**3 wrt v.\nAnswer: -42*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (-1 + 1) - (-4 + -22) - (0 + 8)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -115 + 1\/(3\/3). Let y = b - -186. 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: Let a be (-3)\/9*(-91341)\/153. Calculate the highest common divisor of a and 16.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1448 divided by -2.\nAnswer: -724","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1957 + -977. What is t rounded to the nearest 1000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 72 + 1199013658.\nAnswer: 1199013730","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 57003629, 57003628, 57003627?\nAnswer: 57003626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -5*k**3 + 5*k**2 - k - 6. What is i(4)?\nAnswer: -250","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + m + 3*v - 23 = 0, 0 = 3*m + v - 11. What is the units digit of m + 4\/(-1) + 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110894 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: Suppose 2*i + 3*i - 20 = 0. Suppose 0*j + 4*j = 2456. Suppose 106 = -i*c + j. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the second derivative of x**6\/180 + 5*x**3\/3 + x. Let a(f) be the second derivative of h(f). Let c(u) = 3*u**2 + 3*u**2 - 8*u**2. Give c(a(r)).\nAnswer: -8*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 + -5.4. Let o = -229172 + 229176. What is the biggest value in o, -6, s, -0.1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2490\/(-10)*(1 + -2). Let d = y - 195. What is the greatest common factor of d and 81?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -3090, -3091, -3092?\n\"Answer: -t - 3089","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0004724010754 rounded to 6 decimal places?\nAnswer: 0.000472","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 1 = -13. Suppose -46 = -x*p + 20. What is the remainder when 42 is divided by p?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-495)\/(-20) - ((-81)\/12)\/(-9). Let q be 4 - (c + -324 + (0 - 0)). What is the greatest common divisor of q and 228?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3*(-304)\/(-114)*1\/(-2). Solve 5*r = n + 11, 0 = -f*r - 2*n - 8 + 14 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the first derivative of l**5\/15 - 10*l**3\/9 + 3*l - 27. Let b(x) = 0. Calculate x.\nAnswer: -3, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 2*w - 1 - 3*w + 0*w + 4*w + (-2 - 2 + 5)*(-2*w + 2 - 2) + (-13 + 15 + 97)*(-2064 - 70*w + 2064) + 2*w + 0*w - 3*w.\nAnswer: -6934*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**2 - 9*m - 12. Let v be u(11). Suppose -14*h = -v*h - 292. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**2 - 3*r - 22. Let o be w(-10). Let b = o - 106. Suppose 2*p + 0 = 2. Do b and p have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 2857*c - 2821*c + c**3 + 31*c**2 - 34 + 102 + 4*c**2. Let y be t(-34). Solve 5*w + 5*i + 15 = y, -w - 2*i = i + 13 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5519897.\nAnswer: 53, 104149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*y**3 + 4*y + 177*y**2 - 195*y**2 - 6*y**3 - 9 + 8 in the form l + q*y**3 + i*y**2 + d*y and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the third derivative of -u**5\/60 - 16*u**2. Let n(f) = -160 + f**2 + 81 + 81 + f**2. Give w(n(l)).\nAnswer: -4*l**4 - 8*l**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -o**3 + 3*o**3 - 2 + 5*o**2 - 1 + 2 to b*o**3 + d*o + r*o**2 + j and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0832938 * -9.5.\nAnswer: 0.7912911","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (88\/(-12))\/(-11)*51*(-1)\/2?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4341?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the third derivative of 101*s**4\/24 + 23*s**3\/3 - 79*s**2. What is the first derivative of k(w) wrt w?\nAnswer: 101","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(140)\/sqrt(7))\/sqrt(4)*3 - ((sqrt(55) + 2*sqrt(5500) - sqrt(55))\/(2*sqrt(11)*-6))**2.\nAnswer: -125\/9 + 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15 + -9. Let x = 6 - s. Solve x*j = -5*j + 25 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes after 11:46 PM?\nAnswer: 8:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 494*b - 97*b + 164*b in the form m + k*b and give k.\nAnswer: 561","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -121.4, 20\/7, 1\/61?\nAnswer: 1\/61","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2512271 is divided by 156999?\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 7*j = -6. Let g be j*(-10)\/(-15)*12. Let b be -4 - (-4 - 0 - g). Sort b, 4, -1 in decreasing order.\nAnswer: 4, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, h: 1, a: 1, w: 1, t: 2, v: 1}. Give prob of picking 1 h and 1 v.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 11*w**3 - 8 + 20*w**2 + 16*w**2 - 8*w - 51*w**2 + 23*w**2. Let c(g) = -3 + 2 - g + 73*g**2 + g**3 - 72*g**2 + 0*g**3. What is -24*c(r) + 3*f(r)?\nAnswer: 9*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -31 + 156. Let r = q + 27. Sort -4, -3, r, -2 in increasing order.\nAnswer: -4, -3, -2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-10)\/(-6))\/(10\/12). Solve -9 = -a - i*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of (65\/(-20))\/(4\/(-1232))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.975227899 rounded to three decimal places?\nAnswer: 2.975","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 1 - 39*h**3 + 3 - 4 + h**2 - 2*h - 3. Let m be o(-1). Let c = m - 32. Solve 2*d = -3*r - c, 2*d - 6 - 11 = 5*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/8 + 1331\/44. List the prime factors of (-58)\/(-435) + 12506\/n.\nAnswer: 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1709843 and 5083.\nAnswer: 391","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.066 + -3.874. Let n = f - 0.06. Let u = 0.1 + -2.1. Which is the closest to -2\/9? (a) n (b) -3 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -109 - -157. Let t = 37 + -53. Let l = 0 - t. What is the greatest common divisor of v and l?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 + 8 = u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3200 - -6050. Is f a multiple of 75?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 816731912 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 615871 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1216 and 45524?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 63\/145 - 1\/29. Let v = 115 + -1037\/9. Put 4, v, k in decreasing order.\nAnswer: 4, k, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*q**2 + q**2 + 2*q**2 - 9*q**2.\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 54 in -0.8, -2\/15, 2, -2\/13, 40\/3, -6?\nAnswer: 40\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*f - 14 = -f + 3*d, -2*f + d + 8 = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12269 + 12269 + 24*g**2.\nAnswer: 24*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 210 + -302?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -0.014, 11, -3334, 0.17 in ascending order.\nAnswer: -3334, -0.014, 0.17, 1, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from naaxlxnz. What is prob of picking 1 l, 1 x, and 2 n?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(13) + 4 + sqrt(91)\/sqrt(7))**2 + 4.\nAnswer: 16*sqrt(13) + 70","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -30*r + 39. Let b be g(6). Let f = 143 + b. Solve -f*h = h - 15 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 - 8. Let k = -5 - m. Let q(f) = f**2 + f - 1390. Let r be q(k). Round r to the nearest 100.\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 315666\/5538*(-4)\/(1*12).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 8\/44 + 4\/(-22). Suppose -3*b - 2*p = -28, o*p + p = -4*b + 29. What is the remainder when 7 is divided by b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 8 - (4 - 0) - (-294 - -1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-142)\/11*-2 + (-6)\/(-33). Calculate the greatest common factor of 5889 and o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 - -27. Let c = m - 25. Suppose p - c = 1. Is p a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 2\/3, -0.456, 1, -28\/3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14305.\nAnswer: 5, 2861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 - -56)\/(-3) - -1. Is (-4)\/c + 4220\/45 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -764*g**2 - 123*g**6 - 37*g**5 + 39*g**5 + 2190*g**2 - 1 wrt g.\nAnswer: -14760*g**3 + 120*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -227, 21, 38.\nAnswer: -227, -5, 21, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*w - 24*w - w - 6*w + 44*w.\nAnswer: 8*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*n**2 - 25*n + 330 = 0. What is n?\nAnswer: -11, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -3*l. Let m(j) be the first derivative of 2*j**3\/3 - 3. What is m(n(v))?\nAnswer: 18*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.5, -61, -0.27937?\nAnswer: -61","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes after 10:40 PM?\nAnswer: 3:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4147.18 less than 0.096?\nAnswer: -4147.084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1922, -1839, -1744, -1631, -1494, -1327?\nAnswer: -1124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from noo. Give prob of picking 1 n and 1 o.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -18*r**5 + 267*r**4\/2 + 867*r**3\/2 + 639*r**2\/2 - 75*r\/2 - 75 = 0.\nAnswer: -1, 5\/12, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 1181820 (b) 0.4 (c) -3\/7 (d) 3\/4 (e) -0.2 (f) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-60)\/12*2*2\/(-4). Solve -3*n - 3*f = n - c, f - 5 = -3*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(171) + 0.\nAnswer: 4 + 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -1, -11\/10, 0, -4, -0.05?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and -1.5.\nAnswer: -0.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -8 + (-8)\/((-24)\/9) - -51. Suppose 3*t + 1 = 2*w, -4*w + 2*t = -3*w + 1. Suppose 5*p = -w*b + 115, 3*p = p - 4*b + l. What are the prime factors of p?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 1754100 + 125*r**2 - 1754100. Let a(s) = -7*s. Calculate i(a(g)).\nAnswer: 6125*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u = -2*b - 1, -8 = 2*b - 6*b for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 11, 2, 1475, -8?\nAnswer: 1475","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**2 - o - 1. Let d(h) = h**3 + 7*h**2 + 8*h + 18. Let v(a) = d(a) - t(a). Let s be v(-5). Is -7\/15 at most s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35747076167 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**(13\/5)\/(m*m\/m**(-14)))**(-47))**(-14\/15))**(-2\/45) assuming m is positive.\nAnswer: m**(88172\/3375)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a kilogram in grams?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -194, -738, -1652, -2942, -4614, -6674, -9128, -11982?\n\"Answer: -d**3 - 179*d**2 - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63006?\nAnswer: 2, 3, 10501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -2*c**3 + 4*c**2 - 11*c - 13. Let q be x(-1). Solve -a - 12 = 4*y, -y = q*a - 0 + 3 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*o**2\/7 - 108*o\/7 + 104\/7 = 0. Calculate o.\nAnswer: 1, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - g = -44, 4*m + m + 5*g - 40 = 0. Suppose -o = -5*o + m. Solve 5*f = -o*l - 6, 4*f - 2*l - 4 = -0*l for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.5 (b) 0.0439 (c) -3 (d) 0.92 (e) 21 (f) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -1076450*r. Let v(b) = 4*b**2. Determine v(s(h)).\nAnswer: 4634978410000*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1449 + -1432. Solve m*q = -38 + 4 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5b4e35 + -1?\nAnswer: 5b4e34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49167286 is divided by 1524.\nAnswer: 1522","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g - 2*g**3 - 2*g)*(-47*g**2 - 21*g + 22*g - 3717 + 3703) - 6*g**5 + 5*g**5 - g**5.\nAnswer: 92*g**5 - 2*g**4 + 28*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -438295719 by -3.\nAnswer: 146098573","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and -0.16609?\nAnswer: 0.016609","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, f: 1, b: 2, l: 1}. Give prob of sequence bff.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 103.2417ns in hours?\nAnswer: 0.00000000002867825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + (8 - (-18 + -27)) - 135.\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 14 - (-10 + (-2 - -5) - -33)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 86667816 and 4092?\nAnswer: 953345976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 38.6638588 rounded to zero decimal places?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -10*a. Let m(t) = 2*t + 1. Let p be m(1). Suppose 0*j + 21 = p*j. Let v(i) = -7*i. Let o(g) = j*v(g) - 5*l(g). Let y(h) = 3*h. What is o(y(q))?\nAnswer: 3*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**2 + 74322*c - 1338444.\nAnswer: 2*(c - 18)*(c + 37179)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 + 22. Let t = 92 - 77.6. Let k = t - n. Round k to 0 decimal places.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 63493755*n**2. Let h(j) = -3*j. Calculate h(v(w)).\nAnswer: -190481265*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5091109988936405*s**2 + 319095910*s - 5.\nAnswer: -5*(31909591*s - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 44445 divided by 5\nAnswer: 8889","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 4922543 * 0.04\nAnswer: 196901.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 12\/960*16*(5 - (-82)\/(-16))\nAnswer: -1\/40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 3276?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/211, -0.24433, 1 in descending order.\nAnswer: 1, 2\/211, -0.24433","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*n**3 - 19*n**3 + 25*n**3.\nAnswer: -3*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (17\/(-18) - -1) + (-418)\/7524.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 1 = -x - 2*l, 2*x + l - 23 = 0. Solve -g + 12 = x for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2155, 2152, 2149, 2146, 2143, 2140?\nAnswer: 2137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 91 and 4004.\nAnswer: 4004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -11 - 1. Suppose 4*o = y + 200. Suppose -2*r + 131 = -o. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**3 - 16*g**2 - g + 12. Let p be o(16). Is p\/(-4)*3 + 8 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 141286\/87 - 1624. Let y = -0.95 + 1.55. Is y smaller than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1997 + -98.\nAnswer: -2095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f = -3*d + 15, 0 = -4*f + 538*d - 537*d + 11 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - -68)\/(-8)*(120\/(-32) + (-8)\/(-16)).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -58 + 40. Is ((-8)\/(-6))\/((-8)\/n) + 3688 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -10223, -10221, -10219, -10217, -10215?\n\"Answer: 2*z - 10225","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 207 and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -152 - -149. Is -0.01 < v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -381 + 636. What are the prime factors of o?\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -65*o**3 + 2*o**2 - 12. Let h be s(7). Let v = h - -32950. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 100 + (30 - 11) + -25.\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -20121333 (base 4) to base 13\nAnswer: -12897","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 130542, 130560, 130578, 130596?\n\"Answer: 18*p + 130524","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 1\/3 (b) -6 (c) 0.2 (d) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -490.0904 + 490. Let i = -0.0904 - n. Let d = 0.05 + -2.05. Which is the closest to d? (a) -1 (b) i (c) 0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4798 - 0.13760016\nAnswer: -0.61740016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 - (-6 - (861 - 7)). Suppose 3*y - 5*o - h = 0, 4*y + 272 - 1416 = 4*o. What is the remainder when y is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -4*g**3 + 255*g**2 + 3*g - 9. Let i(v) = v**3 - 96*v**2 - v + 3. Calculate 8*i(m) + 3*s(m).\nAnswer: -4*m**3 - 3*m**2 + m - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8952940?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ytlljtjylljl. What is prob of sequence ylyj?\nAnswer: 1\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 18.84, 4, 3, 1\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*t - 2. Suppose 46 = a - 3*r, -r + 5*r + 128 = t*a. Suppose s + 3 = 8. What is the highest common factor of a and s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -54 + 49. Let h = 1097 - 2193\/2. Put h, d, 1, 6\/5 in ascending order.\nAnswer: d, h, 1, 6\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1\/(-2))\/((-1)\/2). Let p be 4*u - (-7 - (-8 - 0)). Solve -r = -3*z - 2, 5*z - 9 = -p*r + 11 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 2*r**2 - 1 + 1 - 4*r**2 - 26*r. Let v(a) be the second derivative of a**3\/3 - 744*a. Determine y(v(k)).\nAnswer: -8*k**2 - 52*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.05? (a) -3 (b) -1 (c) 14\/5 (d) 4 (e) -290\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21825 is divided by 1456.\nAnswer: 1441","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 1\/8 (b) 2\/11 (c) -5 (d) 2 (e) -414\/5 (f) -2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/(-10) - (-66)\/15. Suppose -3*v + 2*x + 2*x = -114, -5*x = -l*v + 152. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**3 - 24*f**2 + 133*f + 37. Let a be l(15). What is the closest to a in 2\/3, -0.1, -0.3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11001110 - 110110?\nAnswer: -100000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 25255 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -7753.4764 to the nearest 100.\nAnswer: -7800","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 3)*(1 - 2 - 3)*(-2 + 2 - 3)*(0 - 2*n + 0)*(6*n**3 + 7*n**4 - 6*n**3).\nAnswer: -504*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3841804062 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -24*r**3*t - 211309*r**3 - 10*r*t**2 + 150*t**3 wrt t?\nAnswer: -24*r**3 - 20*r*t + 450*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*r**2 - 353622*r + 353625 = 0. Calculate r.\nAnswer: -117875, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/((-556)\/92 + 2*3). Let i(w) = -w**3 + 21*w**2 + 59*w + 6. Is 11 a factor of i(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -7062362 to the nearest one hundred thousand.\nAnswer: -7100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 54 + -56.7. Let t = f + 2.3. Let v = -5 + 9. What is the biggest value in t, v, -4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (5\/(-25))\/((-3)\/105). Let k(q) = q**2 - 4 + 2 + 2 + 5*q + s. What is k(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((2*sqrt(252) - sqrt(252) - sqrt(252))*2)\/(-1*sqrt(448)))\/((sqrt(768)*3 - sqrt(768))*1 + sqrt(768)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.748 + 1.798. What is the closest to 12 in l, 0.4, -2\/11?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -23708, -47413, -71118, -94823?\n\"Answer: -23705*q - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -20\/11, -156 in decreasing order.\nAnswer: 0.1, -20\/11, -156","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 74256 a multiple of 91?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*u**4 + 2*u**4 - 5*u**4 + (-5*u**3 + u**3 + 2*u**3)*(-6 - 2*u + 6) - 20*u**2 + u**4 + 20*u**2 - 2*u**4 - 2*u**4 - u**4.\nAnswer: 2*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 28981164 to the nearest integer?\nAnswer: 5383","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + -46 + (5 - 7 - 3) + (-38 - -40).\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 2*t**2 + 57*t - 187. What are the prime factors of p(34)?\nAnswer: 17, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -8, 7, 2\/7, 0.1?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.497505s to nanoseconds.\nAnswer: 8497505000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1384, 1390, 1400, 1414, 1432, 1454?\nAnswer: 1480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14\/168)\/((-17)\/1428)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -226 + 251. Suppose -2*l + 4*j + 19 = -15, j = -l + 20. Is g >= l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 179 is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s**2 + 3*s**2 + 5*s**2)*(3 - 3 - 1) + 9*s**2 + 2*s**2 + 5*s**2 + 4*s**2.\nAnswer: 14*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 153134.17 + 3.\nAnswer: 153137.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -8*x**3 + 5*x**2 - 6*x - 1. Suppose 27*z - 7*z - 220 = 0. Let y(p) = -15*p**3 + 9*p**2 - 11*p - 2. What is z*v(q) - 6*y(q)?\nAnswer: 2*q**3 + q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1133?\nAnswer: 11, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1022 and 8322.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1211 (base 4) in base 15?\nAnswer: -6b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**3 + 2*c**2 + 8*c. Let r(v) = v**3 - v**2 - 5*v. Let m = 354 - 359. Give m*g(t) - 8*r(t).\nAnswer: -3*t**3 - 2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is r in r**5\/3 - 586*r**4 + 8155*r**3 - 85456*r**2\/3 = 0?\nAnswer: 0, 7, 1744","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 155\/42 and -50\/26607.\nAnswer: 53214","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 675, 669, 673, 693, 735, 805, 909?\nAnswer: 1053","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 17042629 to the power of 1\/3, to the nearest integer?\nAnswer: 257","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*r + 2*r - 4*r + 3*r - 2*r + 0*r + (2*r + 2*r - 2*r)*(-1 - 2 + 5))*(3*r + 33*r + 27*r)*(-14 - 11 - 9) in the form k + u*r**2 + j*r and give u.\nAnswer: -6426","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 887 divided by -2\nAnswer: -887\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k**(-2)*k))\/k**(2\/7)*k\/k**(1\/9)*(k**(-6)\/k)\/k assuming k is positive.\nAnswer: k**(-340\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j - 29 + 19 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f - 8. Let n be m(10). Suppose 0 = 2*k - 0 + n. Which is the third biggest value? (a) -4 (b) -0.1 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -42*b + 37*b + 32, 0 = -2*p - b + 22. Calculate the least common multiple of 488 and p.\nAnswer: 6344","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + 3*i + 12 = 0. Find the common denominator of 65\/4 and 2 - (9\/(-75))\/(i\/(-210)).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -161313*o = -161256*o - 3762 for o.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 5. Let m(i) = -3. Let y(j) = -7*m(j) - 4*r(j). Suppose 363*z + 444 = 81. Let u(l) = -2*l + 4. What is z*u(a) - 2*y(a)?\nAnswer: 2*a - 6","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Convert -45 (base 13) to base 6.\nAnswer: -133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 86 and 64629.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -5*o + 245. Let a(r) = r - 49. Determine -22*a(p) - 4*q(p).\nAnswer: -2*p + 98","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (2\/5)\/((-153)\/45)\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -705424.1 to the nearest 10000.\nAnswer: -710000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-20)\/8*(-32)\/(-20)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 190 + 16. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 6*f**2 - 2*f - 18. Let m be n(6). Suppose 2*j - m = -5*z, -2*z = z - 3*j - 99. Calculate the remainder when z is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -848369191, -848369189, -848369187, -848369185?\n\"Answer: 2*z - 848369193","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1241.211 nanograms to tonnes.\nAnswer: 0.000000000001241211","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6345 - -11670. Is 71 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 18\/(-81) - (-40)\/18. Suppose 4*h + 28 = -y*n, 4*h = 4*n - 0 - 4. What is the common denominator of n and 27\/7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-148)\/(-222)*6\/(-16).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:52 AM and 7:30 PM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**(-9\/5))**34)**(-1\/13))**(1\/14) assuming l is positive.\nAnswer: l**(153\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 200390597 is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w + 3*l - 25, 5*l + 48 = 5*w - 17. Let t = w - 6. What is the third derivative of -8*v**5 + 0*v**2 + 6*v**5 + 3*v**2 - v**t wrt v?\nAnswer: -120*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4521 and 12741.\nAnswer: 411","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 531222 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (4\/8*32)\/(4*2\/10)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 201*g - 36467. Calculate q(208).\nAnswer: 5341","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.08 (b) 2\/1565 (c) 572 (d) 2 (e) -5 (f) 2\/3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -202? (a) 5 (b) 2 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 308*f - 511*f - 672*f.\nAnswer: -875*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes before 5:09 AM?\nAnswer: 11:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 247\/728 + (-19)\/(-532)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 3*y**4 - 156*y**3 - 44643*y**2 - 384864*y + 429660 = 0.\nAnswer: -93, -10, 1, 154","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/4, 0, 4, -49?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18 and 3270.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2.2 and -642?\nAnswer: 1412.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13547 - -13547.1. What is the second smallest value in -5, 0.4, x, -88?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 287 - 1433\/5. Let s = -26.653 - -0.523. Let b = -0.13 - s. Do x and b have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:15 PM and 4:57 AM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -40165848 by -6.\nAnswer: 6694308","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes after 2:07 PM?\nAnswer: 12:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -41 plus 0.015174663?\nAnswer: -40.984825337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**3 + 10*v**2 - 2*v + 6. Let n be q(-10). Let t be (2\/(-3))\/(4\/(-102)). Let x = n - t. Solve -4*h = -x*h + 10 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - 3 - -5 - 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1427355 to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*7653897\nAnswer: -765389.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 4*o + 2. Let k(b) = -11*b**3 - 2*b**2 - 2*b - 1. Let s be k(-1). Suppose -2*p + s = -7*p + 3*y, 6 = -3*p + 3*y. What is n(p)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:21 PM and 7:07 AM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand y - 2*y + 3*y + 5 - y - 5 + (-1 + 3 - 4)*(0*y - 4*y + 2*y) + 6*y - 3*y - 2*y - 2 + y + 2 - 2*y + 5*y - y + 15 + 109*y - 98 - 108*y.\nAnswer: 10*y - 83","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 3*h + 10. Let z(v) = 11 + 2*v + 2*v + 0*v. Let q(w) = -5*s(w) + 4*z(w). Let i be q(11). What is the highest common factor of 55 and i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = 5*l - 20. Suppose 16 = -4*h, 0 = w - 2*w - l*h + 4. Suppose 0 = 3*p - 80 + w. Solve p = -3*m + 7*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -483.571 rounded to 0 decimal places?\nAnswer: -484","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20) + sqrt(140)\/(sqrt(28)\/sqrt(4)))\/sqrt(4) + (sqrt(320) - -6*-2*sqrt(320)).\nAnswer: -86*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*h = 267 - 87 + 342 for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwb when three letters picked without replacement from {b: 2, w: 7, n: 4}.\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**3 - p**2 - 2*p - 1. Suppose -3*k - 3*u + 3 = 0, 2*k - 6*k + 4*u = -12. Let g be (k\/(-4)*0)\/2. Suppose -6*j + j - 5 = g. What is x(j)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (25\/(125\/(-30)))\/2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 103388 a multiple of 252?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 90 is divided by 77?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes after 7:23 PM?\nAnswer: 12:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6267 + 6267. Which is the biggest value? (a) -116 (b) -0.2 (c) -2 (d) o (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 3523 - 106 = -w, 3*z = w - 3637. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14 and 3178?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**3 - 6*n**2 - 3*n + 4. Let d be w(6). Let g(z) = z**3 + 13*z**2 - 11*z + 4. Let x be g(d). Is x less than or equal to -38?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (170 - 170 + 30*g)*(1 + 1 + 0)*(g + 3*g**3 - g) - 2 + 2 - g**4 as z*g**4 + f*g + t*g**3 + q*g**2 + d and give z.\nAnswer: 179","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes before 3:30 AM?\nAnswer: 12:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -195725 + 12?\nAnswer: -195713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -65*-8494\nAnswer: 552110","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 562.455746 + 41.76.\nAnswer: 604.215746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 74 = -160. Is j a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the second derivative of x**4\/6 + 83*x**3\/3 - 84*x**2 - 908*x. What is q in c(q) = 0?\nAnswer: -84, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*d**2 + d - 44 - 2*d + 44 to the form a*d + x*d**2 + w and give x.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the third derivative of g**6\/120 - 7*g**5\/20 - 11*g**4\/12 - g**3\/3 + 10*g**2 + 11*g. What is q(22)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a\/(a\/(a*a**(-8\/5)*a)))*a*a**(-11))\/(a\/(a**(-10)\/a))**(-16) assuming a is positive.\nAnswer: a**(913\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -151 - -221. Let i = -1824 + 1827. Suppose 204*r - 4*f + 92 = 208*r, 0 = i*r - 5*f - 109. Calculate the greatest common divisor of g and r.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 99 divide 464098041?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 11*h**3 + 5*h**2 - 5. Let f = 40 - 18. Let b = f - 27. Let j = 3 - 5. Let m(r) = -5*r**3 - 2*r**2 + 2. Calculate b*m(i) + j*l(i).\nAnswer: 3*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-287 - -401) + (-33 - -28) + 1 + -15\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.154 * -1494.\nAnswer: -230.076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 l when two letters picked without replacement from {l: 1, o: 1, v: 2, u: 2, w: 1, n: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -539 - -557. Suppose h*t + 17 = 179. Solve -x = t*x + 20 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(228)\/(2*sqrt(12)) + 5)**2*3 + 0.\nAnswer: 15*sqrt(19) + 357\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.04 + -20.01. Let d = -20 - m. Is d bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of f**2*g**3 - 7*f**2*g**2 + 36*f**2*g - f + 20*g**3 - 2*g wrt g.\nAnswer: 6*f**2*g - 14*f**2 + 120*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 8\/((-8)\/(-3))*1\/18. What is the nearest to 0.1 in -5, 0, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uouuuo. What is prob of sequence oo?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.1, 0.8, -5.2, 1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 871, 1730, 2587, 3442, 4295, 5146?\nAnswer: 5995","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-15)\/(-10))\/1*-2\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 8*t**5 + 6*t**4 - 5*t**3 - t**2 + 2*t + 5. Let p(r) = 7*r**5 + 6*r**4 - 4*r**3 - 2*r**2 + r + 4. Let j(m) = -5*p(m) + 4*u(m). Factor j(d).\nAnswer: -3*d*(d - 1)*(d + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) 89 (c) -3\/2 (d) 187 (e) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 396223308 and 156?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -100011000101100 (base 2) in base 15?\nAnswer: -54c9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 245 <= 0.12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5994)\/10692 + (-15)\/(-18).\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(275) + (-2*sqrt(275) - sqrt(275)) + 3 - -2*sqrt(275)*-4) + (-2 + 2*sqrt(275) + 2)**2)*4.\nAnswer: -200*sqrt(11) + 4412","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -4*s + 3*s + 24, 2*v - 4*s = 14. Suppose -n + 77 = v*u, 4*n + u = 115 + 193. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1054 (b) 4 (c) -4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1673 is divided by 1665?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/(((-2)\/12)\/((-220)\/(-792))). Which is the closest to 17? (a) m (b) 4 (c) 61\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93 + 717*l**2 + 1203\/2*l + 45\/2*l**3 = 0. What is l?\nAnswer: -31, -1, 2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 + 10. What is the remainder when 7 is divided by (-4)\/(-5)*35\/u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1000010001 (base 2) to base 12.\nAnswer: -381","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n + 2*x - 142, -n + x - 269 = n. Let j = 202 + n. Is 10 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14033.08192 rounded to the nearest integer?\nAnswer: -14033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j = -4*i - 16, -8 = -j - 0*i + 3*i for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 1455 = 3*g, -6*g + 4*g = -3*w + 872. Is w a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 163\/46680 and 29\/20.\nAnswer: 46680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mfmmfmmmfmmmmmfmmmm. Give prob of picking 3 m and 1 f.\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5420 or -883481\/163?\nAnswer: -5420","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69*g - 64*g + 192*g - 59*g - 2*g**2.\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(6\/(-14))*5896\/1876?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -c**3 + 896*c**2 - 895*c = 0. Calculate c.\nAnswer: 0, 1, 895","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -89 - -40. Let u be 2\/(-7) + 84\/c. Let o be (-18)\/(-8)*u\/6. What is the third smallest value in 5, o, -0.4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 25403848 to the nearest 1000000.\nAnswer: 25000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 35019510 divided by -4\nAnswer: -17509755\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -65\/108 and 17\/74?\nAnswer: 3996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10 by -7.\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 437929 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 855269 is divided by 44?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -41 + 57.6. Let n = h - 85.6. Let q = n + 69.000091. What is q rounded to 5 decimal places?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -88256 by 22064.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*z - 3 + 4 - 1 to the form x + j*z and give j.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 253571*v**3 + 15*v**2 - 2*v - 280?\nAnswer: 1521426","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 + 29. Is 18 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -0.075 (b) 0.1 (c) 0.2 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the second derivative of -g**4 + 0 + 1\/15*g**6 + 8*g**2 + 9*g - 4\/3*g**3 + 1\/10*g**5. Let m(s) = 0. Calculate s.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-7)\/63 + -42*(-6)\/81. Is ((-14206)\/k)\/(228\/(-342)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 114 = 3*p, 17 - 1 = 2*p. Solve -2*b = -145 + 135, -4*i - 2*b + h = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -108, 1, 294, 861, 1792, 3177, 5106?\nAnswer: 7669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the third derivative of -401*u**6\/40 + 132*u**3 - 297*u**2 - 1. Differentiate q(a) wrt a.\nAnswer: -3609*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(128) + -2)*-5 - (-2 + (sqrt(128)*2 - sqrt(128)) + 6*(1 + sqrt(128))).\nAnswer: -136*sqrt(2) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + y = -11, -68*w + 67*w - 5*y - 34 = 0. Which is smaller: -31\/70 or w?\nAnswer: -31\/70","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 17*x**4 + 7*x**2 - x**2 - 22*x**4 wrt x.\nAnswer: -120*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.1 (b) 13 (c) -9.51 (d) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3331310 (base 4) in base 16?\nAnswer: -3f74","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000618 rounded to four dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-7)\/133*16\/(-8). Put i, 5, -5 in descending order.\nAnswer: 5, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/(16\/4) + 2. Suppose 4*r - p*u + u = 242, -3*r + 154 = 4*u. Is 29 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o*o**5)**(4\/19)*(o\/(((o*o\/(o*o\/(o*o**(5\/4)*o)))\/o)\/o)*o)**(2\/125))**(-8))**20 assuming o is positive.\nAnswer: o**(-112912\/475)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*i - 12*h, -5*i - 4*h + 21 = -3*h. Let j(g) = 6*g. Let s(y) = -y. Let o(t) = j(t) + 5*s(t). Let c(z) = z. What is i*c(v) + o(v)?\nAnswer: 5*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-41*h + 42*h - 40*h)*(-1 - 1 + 4 + (2 + 2 - 1)*(-2 - 3 + 4)*(-1 + 3 + 0)) in the form g + x*h and give x.\nAnswer: 156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 27 + 6?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**2 - q - 4. Let g(s) = 4*s**2 + 17*s - 13. Determine -g(n) - 2*v(n).\nAnswer: -2*n**2 - 15*n + 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 63 = 3*k, -3*k + 4*w - w + 39 = 0. Suppose -2*s + k = 2*s. What is the common denominator of (-6)\/s + (-210)\/(-55) and 5\/12?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - (-3 + -4 - -17)) + (25 - 2).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmvvllmvvmmm. What is prob of picking 2 m?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 483445 to the power of 1\/2, to the nearest integer?\nAnswer: 695","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.286331 + -0.556362. Let p = t - -0.27. What is p rounded to 5 decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*1165855.\nAnswer: -116585.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*q**3 + 2*q**2 - 283*q - 2796?\nAnswer: -9*q**2 + 4*q - 283","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1113*d**2 - 737*d + 3 + 739*d - 1 - 1539*d**2.\nAnswer: -2652*d**2 + 2*d + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 196549329553 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and 548\/4001 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -12*a**3*w + a**2*w**3 - a*w**3 - w**3 + 20 wrt a?\nAnswer: -36*a**2*w + 2*a*w**3 - w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 + 2. Let l be k + 1 - (5 + -4). Find the second derivative of -17*i**2 + 3*i + 13*i**l + 2*i wrt i.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 5, j: 4, x: 5, e: 6}. Give prob of sequence xe.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-37)\/10 - -4)*((-179760)\/288)\/107?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**4\/2 + 30*l**3 + 33*l**2 - 1170*l + 4563\/2.\nAnswer: 3*(l - 3)**2*(l + 13)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 240457 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 7, v: 7, u: 5}. Give prob of sequence ddv.\nAnswer: 49\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 29*l**3 + 49*l**3 - 14*l**4 - 62*l**3 + 7*l**4 - 2 to a + f*l**4 + s*l + o*l**2 + d*l**3 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 2595?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 2*z**2 + 7*z - 1. Let o be m(-3). Let h = 2.04 + -2. Which is the second smallest value? (a) o (b) h (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(468) + 0)**2 - ((sqrt(13) + 3)**2 + -1).\nAnswer: -6*sqrt(13) + 447","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58 = -7*r + 131. Suppose 10*v - r - 73 = 0. Solve p = -5*q - 0*p - v, 5*p = -4*q - 8 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 657 - 656.9567. Let a = q + 2.8367. What is a rounded to one dp?\nAnswer: 2.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 - 0. Let l(j) be the second derivative of o - j + j**2 - 1\/2*j**3. What is the first derivative of l(w) wrt w?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*q = -10*q + 28. Calculate the greatest common factor of q and 56.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-546)\/(-48) + (-18081)\/(-6888).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 13 and -12657?\nAnswer: -164541","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 10546006 + -2?\nAnswer: 10546004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 223, 312, 397, 478, 555?\n\"Answer: -2*j**2 + 95*j + 130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.23 (b) -0.2 (c) 2\/9 (d) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2679 - 2679 + k**2.\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 + 20 = 4*s - 2*n, 2*s + 16 = -2*n. Is s less than -10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 - (-6)\/(-5))\/(74\/(-185)). Suppose u*k - 13 = -2*d, -3*k + d + 15 = 4*d. Solve 0*v + 11 = 3*v + 5*p, 5*p = v + k for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 3*r - 5. Let s be d(-5). Let z be s\/45 + 2\/(-9). Let u = 1579 - 1581. Which is the nearest to 15? (a) 1 (b) u (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from upyzuy. Give prob of sequence zp.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s + 10 = -a, 10*a + 2*s = 5*a + 4 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5\/56, -1, 0, 71, 0.07, -5?\nAnswer: 71","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -1486*d + 9543. Determine h(6).\nAnswer: 627","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 259461075 and 50?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 1 = -2*d + 1, 16 = -2*o - 5*d. Sort 5, -594, o.\nAnswer: -594, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 + (6\/5)\/(4\/30). Suppose 0 = 3*a + 2*d - 112, -96 = 24*a - 26*a + 4*d. What is the highest common divisor of g and a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 344 by -86.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - 6986.44364807.\nAnswer: -6983.44364807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-60)\/8*(-24)\/9.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 134501 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 54003410 and 1028?\nAnswer: 514","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -114539, -229096, -343653, -458210, -572767, -687324?\n\"Answer: -114557*w + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 577 - 2445\/4. Let p = k + 34. Let b = -5\/12 + p. Which is smaller: b or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19 - (-6 + 7) - (-108 - -84)?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -4*j - 18. Let h = -4 - j. What are the prime factors of 13 + h + 0\/8?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 929305.5 nanometers in meters?\nAnswer: 0.0009293055","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19901 is divided by 3102?\nAnswer: 1289","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -10.303 and -15494493?\nAnswer: 15494482.697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**2 + 9*l - 3. Calculate b(6).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 = 5*h - 1. Let c = h - 9. Let s = 3 + -5. Which is greater: s or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 103142?\nAnswer: 2, 13, 3967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 35 and 105.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3271558878?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/4*(7 - 11). Let y = o - 0. What is the units digit of (-2)\/3 + (-1 - (-302)\/y)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001217 to 4 decimal places.\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, -5, 8, -3.\nAnswer: -5, -3, 8, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -4 + ((-5*(sqrt(85) + (sqrt(85) - 1*(sqrt(85) - (sqrt(85)*-1 - sqrt(85)))) + sqrt(85)))\/((sqrt(50)*-2)\/sqrt(10)*-6))**2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3331*f**4 - 4794*f**3 + f**2 - 98623399*f.\nAnswer: -39972*f**2 - 28764*f + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/(-4)*4\/3. Suppose -n + 14 = -c. Is 11 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 2178*h**2 - 2*h + 1. Is m(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:51 PM and 1:32 AM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 742 is divided by 731.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n**5\/3 - 16*n**4\/9 + 8*n**3\/9 + 16*n**2\/9 + 4*n\/9 = 0. Calculate n.\nAnswer: -1, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {s: 7, j: 2}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -261.91 - -262. Which is the nearest to 2\/9? (a) -2\/3 (b) m (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2091\/697)\/(9\/48)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4*(-63)\/28 - 4\/(-2). Let b(j) = -j**3 - 7*j**2 - 4. Give b(v).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 4*n**2 - 7*n + 1. Let t(y) = 3*y**2 - 7*y. Let a(x) = 2*f(x) - 3*t(x). Calculate a(6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2431 divided by -18?\nAnswer: 2431\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**3 - 4*b**2 - 4*b - 6*b**2 - 2 + 6*b**2. Suppose 2*s + 3*k + 3 = 0, -2*s - 1 = -2*k + 7*k. What is the units digit of j(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 11*v + 1. Let x be n(-1). Let m be (-1)\/(-5) + (-28)\/x. Find the first derivative of -3*h**3 + 3 + h**3 + 0*h**3 + 4*h**m wrt h.\nAnswer: 6*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.09 and -831573?\nAnswer: 831572.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**3 + 8*w**2 + 5*w - 27. Let j(k) = k**3 + 6*k**2 + 6*k - 26. Let y(a) = -7*j(a) + 6*m(a). Let g be y(4). Solve 7 + g = 11*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1307 + 11749\/9. Let t(u) = -u**2 - 37*u + 77. Let x be t(2). Is y >= x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 256?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111100001110011110 - -1011?\nAnswer: 111100001110101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1729737281 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5*c**2 - 2*c - 2*c + c**2 - 24 + 3 wrt c?\nAnswer: 12*c - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31529*-1370.\nAnswer: -43194730","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -1. Let o(y) = 9*y + 120. Let m(t) = t + 15. Let b(a) = 33*m(a) - 4*o(a). Calculate -b(z) - 15*u(z).\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*w + 3*w + 10*w)*(-34*w**2 + 14*w**2 + 8*w**2) - 2*w**3 + 0*w**2 + 0*w**2 in the form z*w + a + c*w**2 + t*w**3 and give t.\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.36042 to three decimal places.\nAnswer: -0.36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -25*r - 92. Let t be -2 - ((-3)\/2)\/(2\/(-4)). Let i be h(t). Solve -5*z + 8 = i for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 - 271 = -14*h. Let b(q) = -q**3 + 9*q**2 - 10*q + 6. What is the remainder when b(7) is divided by h?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven halves of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.194 + -0.306. Let s = -2.5 - -1.1. Let t = 0.6 - s. Which is the smallest value? (a) t (b) -3\/7 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3260 + -13119\/4. Let n = 3248\/3 - 26257\/24. Calculate the common denominator of z and n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4940 is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -6, 0, 2, -3948.\nAnswer: -3948, -6, -3, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 266*j - 136*j - 123*j - 7 - 7*j**2 + 14*j**3. Let c(b) = 7*b**3 - 4*b**2 + 4*b - 4. What is -7*c(i) + 4*r(i)?\nAnswer: 7*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ntvncnnt. What is prob of picking 1 n and 3 t?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 131 - -57. Let j(a) = 11*a**2 - 4*a. Let s be j(-3). Let i = d + s. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(756)\/(-5*sqrt(12)*5))\/(-2*sqrt(324)))**2.\nAnswer: 7\/90000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 9\/(-1)*5\/(2*42\/(-28))\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -75 - -20. Let h = -29 - q. Suppose -5*z + 5*c = -11 - 49, -5*z + c = -40. Calculate the remainder when h is divided by z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**3 + 4*z**2 + 2. Let a be 40\/15*3\/(-2). Let k be v(a). Find the second derivative of -2*d**k - 2*d + 2*d**2 + d**3 wrt d.\nAnswer: 6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6313 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + (-33 - -20) - -1.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((-5 + (-2*sqrt(5))**2 - (sqrt(5) - sqrt(90)\/sqrt(2)) - (4 + (sqrt(605) - -6*-3*sqrt(605)))) + 2).\nAnswer: 65 + 945*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is j in j**4 - 10*j**3 + 23*j**2 - 14*j = 0?\nAnswer: 0, 1, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 6*b**3 + 11*b**2 - 14*b - 1. Calculate p(3).\nAnswer: 218","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10*b*r**2 + 57*b*r - 3932118*b + 6*r**2 - 26*r with respect to r.\nAnswer: 20*b*r + 57*b + 12*r - 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(5) - sqrt(10)\/sqrt(2)) - -1*sqrt(15)\/sqrt(3).\nAnswer: sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the first derivative of -h**4\/12 - 4*h**3\/9 - h**2\/2 - 33. What is o in k(o) = 0?\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.9 in -8, -3\/4, -9?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 216 + 527 = -l. What is l rounded to the nearest ten?\nAnswer: -740","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15431 is divided by 20?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3634 and 184?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*a - 2*y + 18, a - 2*y + 4 - 1 = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v + 3*v - 35. Suppose -3*y = a + 1, -5*a - 27 + v = 0. Let q = 1045\/7 - 149. Which is bigger: q or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -10*a + 12. Let p(h) = 29*h - 35. Let t(q) = 3*p(q) + 8*y(q). What is the first derivative of t(c) wrt c?\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the first derivative of -5*x**2\/2 + 13*x - 6. Let q(z) = z**3 - 6*z + 14. Let a(k) = 6*p(k) - 5*q(k). What is the derivative of a(s) wrt s?\nAnswer: -15*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*j**3 - 6*j**3 + 15*j**3 + j**3.\nAnswer: 8*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1350 + -11?\nAnswer: -1401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 281, 267, 239, 191, 117, 11, -133?\nAnswer: -321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*f**4 - 3*f**4 + 14*f**4 + (0*f**4 + 2*f**4 - f**4)*(-1 + 0 - 1) - f**4 + 0*f**4 + 2*f**4 + (4*f**2 + 4*f**2 - 5*f**2)*(4*f**2 + 1 - 1).\nAnswer: 20*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 189*y**2 - 39*y + 77965?\nAnswer: 378*y - 39","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -248, -496, -744, -992, -1240, -1488?\n\"Answer: -248*p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1217, -1187, -1123, -1013, -845, -607, -287?\n\"Answer: 2*y**3 + 5*y**2 + y - 1225","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3*(-2)\/(-198)*(-1 + -5). What is the smallest value in 4, g, 4\/3, 1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.11 minus 155?\nAnswer: -154.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 7.13*-6\nAnswer: -42.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 893725358?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -538439*g**4 - 220*g**2*n**3 + g*n**3 + 2*g - n**3 - 1021*n - 4320 wrt g.\nAnswer: -6461268*g**2 - 440*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the second derivative of 59*m**4\/2 + 11*m**3\/3 + 415*m. Find the second derivative of i(v) wrt v.\nAnswer: 708","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1199126567 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**2 - 4*z + 7. What is the remainder when (-2)\/(1 + 1) + 35 is divided by o(5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1179? (a) 3 (b) 1 (c) -0.3 (d) -2\/139 (e) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 943179.\nAnswer: 3, 19, 16547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -115.844 times -0.113?\nAnswer: 13.090372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 83 + (-93 - -52) - -18\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1425181+4.3\nAnswer: -1425176.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7)\/21)\/(3*(-4)\/216)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (18\/1)\/((0 - -1) + 1). What is the derivative of -7 + 18*n - s + 11 - 2 wrt n?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1642809 or 31213395\/19?\nAnswer: 31213395\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -290 (b) 1\/4 (c) 0.6 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/528 and 131\/27852?\nAnswer: 111408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 52 in -111, 63.5, 3?\nAnswer: 63.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -4*m + 12. Let s(f) = -5*f + 11. What is -4*j(y) + 3*s(y)?\nAnswer: y - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the third derivative of 0*f - 35\/204*f**4 - 13\/510*f**5 + 0 + 49\/51*f**3 - 1\/1020*f**6 + 86*f**2. Determine b, given that v(b) = 0.\nAnswer: -7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 q, and 2 x when four letters picked without replacement from {x: 5, q: 1, j: 1, w: 1, k: 4}.\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -304 + 309. Calculate the greatest common divisor of h and 75.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2219?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.656 - -12.5943.\nAnswer: 8.9383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5.2 - -5. Let i = -0.94 - -1.057. Let g = i - 0.217. Sort g, 2\/11, w in decreasing order.\nAnswer: 2\/11, g, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the second derivative of 11*g**5\/5 - g**4\/4 - 101*g**3\/2 - g**2\/2 + 218*g. What is the second derivative of r(z) wrt z?\nAnswer: 264*z - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n = 2*j + 14, -2 = 2*j + 18*n - 16*n for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 20 + -18. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 20*o - 139. Let j be f(7). Sort j, -14, -2, -5 in decreasing order.\nAnswer: j, -2, -5, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a kilometer in centimeters?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do 26938 and 134696\/5 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = 10, -10*d - 5*y = -8*d - 93. Is 67 != d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*s**(1\/8)*s*(s\/(s\/(s**(-1\/9)\/s)))\/s*s assuming s is positive.\nAnswer: s**(73\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12 - 12.1. Let k be 10\/4 - (-4)\/(-8). What is the closest to u in -0.5, k, 2\/3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -3*k + 28. Let d be ((-449)\/k)\/(5\/10). Let i = d - -64. Is i less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1\/11671266618 - 81898120134913627\/326795465304. Let m = 250609 + w. What is the common denominator of m and -145\/18?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 5*n - 4. Let g = -41 - -45. Let w be c(g). Find the second derivative of -10*p**3 - w*p + 2*p**4 - 18*p**4 + 10*p**3 wrt p.\nAnswer: -192*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/7*281 - (-18)\/(-63). Suppose -5*t + b = 25. Solve w - 7 = -t for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000010444 to seven dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the third derivative of -3*p**7\/14 - 31*p**6\/20 - 83*p**5\/20 - 5*p**4 - 2*p**3 + 979*p**2. Let k(w) = 0. What is w?\nAnswer: -2, -1, -2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2 (b) 39 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x - 2. Let s be d(2). Let y(w) = 2*w**2 + s + 0*w**3 + 2 - w**3 - w. Suppose 2*a = 5*i - 11, 10*a - i - 7 = 5*a. What is y(a)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, -3\/5, -0.3, -97\/16, -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*s = 26*s - 256 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1579670?\nAnswer: 2, 5, 47, 3361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes before 7:47 PM?\nAnswer: 6:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7865320.\nAnswer: 2, 5, 31, 6343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 148, 0.4, 0.3, -15, -1, -9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 399*k - 1355*k + 350 = -606. Let c = -6 - -4. Which is greater: c or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*z**2 - 29*z**2 + 19*z**2)*(-3 + 2 - 2)*(362 + 351 - 852).\nAnswer: -6255*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/112227258 and -5\/58374?\nAnswer: 1010045322","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -6*f**2 + 73*f - 9. Let v be t(12). Is (0 + (-8)\/12)\/(v\/(-6921)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54 + 22 + 82*t - 46 - 29.\nAnswer: 82*t + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes after 9:22 AM?\nAnswer: 2:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18 and 25578.\nAnswer: 25578","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**2 + 11*k - 35. Let h be i(-14). Suppose -4*q + 24 = 3*g - h*g, 2*g + 4 = -2*q. Solve q = 2*j - 3*t + 14, j - 4 = -t for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 121250578?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2675 and 9350.6?\nAnswer: -2501.2855","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 + -29 + (41 - 24)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 48 = -k - 5*g, -5*k = -5*g - 160. Let l = -3 + 5. Suppose 4*s = -20, -o + k = -l*s - 0*s. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 204, 1512, 3694, 6750, 10680?\nAnswer: 15484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/1 - 90\/(-20)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/5 of a gram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1322 (base 4) to base 6\nAnswer: -322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**2. Let m = -5 + 8. Let u(c) = 2*c - m*c + c + c. Calculate u(v(g)).\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the third derivative of u**8\/112 + u**6\/15 - u**5\/20 + 2*u**2. What is the third derivative of s(a) wrt a?\nAnswer: 180*a**2 + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -5*t + 3*q - 3, -4*q + 43 = 3*t. Let s(m) = -2*m**2 + 18*m + 8. Calculate the remainder when 39 is divided by s(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4013 = -2*z + 3*f, 30*z - 26*z - f = 7981. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*j**2 + 3369841529*j + 10*j**2 + 3369841531*j - 6739683060*j + 1 - 1.\nAnswer: 13*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/7 in -51, 1\/6, 15, -5?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*m = 160 - 25 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -18 + 19 + 1*3 + 2. Solve 15 + 7 = -5*t + o, z = t + 5*o for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -892b (base 13) to base 12.\nAnswer: -b0a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide (-97944)\/(-126) + (-15)\/(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2596 - -51893\/20. What is the common denominator of -41\/100 and r?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2454511?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(14) - 3*sqrt(350)) + sqrt(14))\/(sqrt(288)*-2) + 5*4*(sqrt(3087) + sqrt(63))\/sqrt(9).\nAnswer: 3853*sqrt(7)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -111011010 (base 2) in base 9?\nAnswer: -576","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3818.016 + 1.984. Let k = o - 3885.27. Let p = 66 + k. Round p to one dp.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 2 = 4*t, 4*p = -6*t + 2*t. Let w(o) = -24*o + 41. Let b(y) = 5*y - 8. Let d(z) = t*w(z) - 11*b(z). Differentiate d(h) with respect to h.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -6*t**3 - 2*t**2 + 2. Determine n(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-18)\/30 - 1014\/(-15). Suppose -7*b - 3*y + l = -2*b, 4*y + 4 = 0. Does 10 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.5272 + -0.5269573. Round x to 4 dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/13, -3\/5, -57, 4\/1581, 0.02?\nAnswer: 4\/1581","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/5931 and -25\/1318.\nAnswer: 11862","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.03322*-507\nAnswer: 16.84254","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 2 + sqrt(13) + -1.\nAnswer: sqrt(13) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (2 + -4 - -1) + 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 21*q**2 - q. Let h(z) = -z**3 - 7*z**2 - 9*z - 7. Let r be h(-6). Suppose 4*g + r - 99 = 0. What is the lowest common multiple of t(1) and g?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -513\/2 + 254. Which is the smallest value? (a) f (b) 0.5 (c) 6\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xqq when three letters picked without replacement from {v: 1, x: 2, p: 9, a: 1, q: 4}.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 5*f - 2. Let z be ((1001\/(-14))\/13)\/((-1)\/2). What is the units digit of y(z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*s**3 + 6*s**3 + s**3.\nAnswer: 3*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 187\/2208 - 8\/69. Calculate the common denominator of 27\/22 and k.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 104764, -9, 0 in increasing order.\nAnswer: -9, 0, 104764","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 26684061?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 69463 - 25304. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-22 - -3) + -1 + 43\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 11*k**2 + 8*k - 2. List the prime factors of d(3).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, 3, -1\/5, -0.09?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-132)\/(-1716))\/(1\/(-2)).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-1)*m*m)**31)**10 assuming m is positive.\nAnswer: m**310","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2810471 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -33*g + 16*g**3 + 33*g + (2*g**3 + 5*g**3 - 2*g**3)*(47 + 81 + 49) to the form l*g**2 + z*g + r + c*g**3 and give c.\nAnswer: 901","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 28034?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4617 + -4617.167. Which is bigger: -0.2 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Round 0.00882097 to 4 dps.\nAnswer: 0.0088","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 - 6. Let b(h) = -h**3 - 7*h**2 - 8*h - 8. Let l be b(r). Solve -l = 4*i + 4 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10124 + -2599. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m**2 - m**2 - m**2 + (5 - 2 - 5)*(m**2 - 4*m**2 + 2*m**2) - 2*m**2 + 4*m**2 - 3*m**2)*(-3 - 2 + 3)*(3*m**2 - 14*m**2 - 3*m**2).\nAnswer: 56*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u*u*u**33*u)**(-12) assuming u is positive.\nAnswer: u**(-444)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*i + 20*i + 1720 = 0. Let m be (-1 - i)\/((-2 + 0)\/(-2)). What is m rounded to the nearest ten?\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 45 + -c?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**3 + r**2. Let i(y) = 3*y**3 + 2*y**2 - 7*y - 7. Let g(u) = i(u) + 2*t(u). Let k be g(-5). Solve 0 = -2*l - b + k + 6, 0 = 4*l - 3*b - 3 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(12) - (sqrt(108) - sqrt(12)) - sqrt(12))*1)\/(sqrt(6) + sqrt(150)*1).\nAnswer: -sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**2 - o + 2. Let c be f(-5). Suppose -5*b + b = -112. Suppose 4*n - b = 2*x, 3*n + 13 - c = x. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t = -2*i - 14, 17*i - 4*t + 25 = 14*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 14689061?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 17425543 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 888?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9\/7, -2\/11, 2\/5, -2 in descending order.\nAnswer: 9\/7, 2\/5, -2\/11, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 - (-1 + (-78)\/(-27)). Let x(k) be the first derivative of -2\/27*k**3 + 3 + 0*k - s*k**2. Suppose x(u) = 0. Calculate u.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6764479 is divided by 1287?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*d**4 + 2 + 7*d**4 - 2*d**4 + (0*d**3 - 2*d**3 + 4*d**3)*(-21*d - 56*d + 9*d).\nAnswer: -137*d**4 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.69088 + 0.9846. Round f to three decimal places.\nAnswer: 0.294","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 35\/24 and -38\/435?\nAnswer: 3480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 87*t + 5 - 121*t**2 + 46*t - 50*t - 40*t.\nAnswer: -121*t**2 - 131*t + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 5*u - 3. Let d(t) = -18*t + 1 - 10*t + 26*t - 2 + t. Calculate -4*d(p) - s(p).\nAnswer: -p + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*v**3 - 4*v**5 + 2*v**3 + 2 - 2 + v**5 + (-5*v + 7*v + 6*v)*(v**4 + 0*v**4 - 2*v**4).\nAnswer: -11*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**3\/9 + 106424*p**2\/9 - 1415864890*p\/9 + 2831304100\/9.\nAnswer: -2*(p - 26605)**2*(p - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 3 and -6347439?\nAnswer: 6347442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -101 (b) 5\/6 (c) 1260 (d) 0.25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-3*(sqrt(176) + 2))**2 - sqrt(176)) + sqrt(176))*4.\nAnswer: 576*sqrt(11) + 6480","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1607638 and -290.\nAnswer: -466215020","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -43, -44, -45, -46, -47, -48?\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the second derivative of 0*d**2 + 1\/3*d**3 + 0 - 1\/40*d**5 - 1\/60*d**6 - 48*d + 1\/6*d**4. Suppose y(u) = 0. What is u?\nAnswer: -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - g = 14, -2*h - 15*g + 28 = -11*g. Solve 2*i + 14 - h = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(12\/5)*m*m\/m**(-37)*m*m**36\/(m*m**(-2\/69)) assuming m is positive.\nAnswer: m**(26713\/345)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*((sqrt(76) - (sqrt(76) + -1 - sqrt(76))) + -2) + ((sqrt(76) - (-4 + sqrt(76) + 1 + sqrt(76))) + 1 + sqrt(76) + 4 + sqrt(76))**2)*4 + 4.\nAnswer: 88*sqrt(19) + 584","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 2044301 (base 5) to base 4\nAnswer: 20120112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 3 + 9 = 0. Suppose -4*o - 4*x + 8 = 0, -w*x = o - 3 - 3. Suppose 0*p - 5*p = j - 16, o = -5*p + 5*j + 40. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1760, 2191, 2622?\n\"Answer: 431*j + 1329","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -211\/210 and (2\/(-14) - 0)*-17*(-1819)\/109242.\nAnswer: 13230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/(z*(z\/((z*z**(-1\/5))\/z*z))\/z*z)*z\/(z**(-2\/9)\/z)*z**(-2\/23)*z**(-9) assuming z is positive.\nAnswer: z**(-7312\/1035)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 to the power of 1\/2, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u - 3*u + u**3)*(-2 + 6 + 8)*(0*u + 0*u + 2*u).\nAnswer: 24*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4*(155\/(-20) - -9). Let n(l) be the first derivative of 2*l**2 - l**4 - 8\/3*l**3 + 8*l - h. Find a such that n(a) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2242 + 103?\nAnswer: -213b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j**3\/3 + 1252*j**2\/3 - 18094*j\/3 - 866320 = 0. Calculate j.\nAnswer: -637, -40, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5332 (base 10) to base 9.\nAnswer: 7274","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1314376.63 - 30470?\nAnswer: 1283906.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 + -6. Suppose -x - 2 = -h. Suppose 4*i - 2*i = -2*a - 2, h*i + a = 2. What is the second smallest value in -5, i, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 7 - 5)*(33*y + 1 + 1 - 1)*(y + 3*y - 2*y).\nAnswer: 396*y**2 + 12*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 3906364, 7812777, 11719188, 15625597, 19532004?\n\"Answer: -n**2 + 3906416*n - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12.4 + -45. Let q = -57.4 - r. Which is the smallest value? (a) 0.1 (b) q (c) -2\/13 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5, -125.\nAnswer: -125, -5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -5*d + 4*r + 7, -2*r = -3*d + 17. Suppose -2*y + 2 = -d*y. Suppose 2*i = -0 + 6. Put y, 4, i in increasing order.\nAnswer: y, i, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*2423.219.\nAnswer: -726.9657","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s - 0*j + j - 14, -3*s + 3*j = -3. Let o = 5 - s. Let w be -2*(10\/4 - o). Is w greater than 2\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-880)\/(-100)*((-2)\/(-8))\/((242\/(-11))\/(-440))?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*q**3\/3 - 1627966*q**2\/9 + 135664*q\/9.\nAnswer: -2*q*(q + 67832)*(12*q - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 49, -0.4, -2.2, 2.\nAnswer: -2.2, -0.4, 2, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**5\/2 - k**4 - 3*k**3\/2 + 4*k**2 - 2*k.\nAnswer: k*(k - 2)*(k - 1)**2*(k + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the second derivative of -29*p**5\/20 + 4*p**4\/3 + 5*p. Find the third derivative of t(u) wrt u.\nAnswer: -174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14980785 to the power of 1\/2, to the nearest integer?\nAnswer: 3871","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22057359, 22057357, 22057355, 22057353, 22057351, 22057349?\nAnswer: 22057347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*i = 11*i - 134. Suppose 3*y = i + 944. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b + 2*j + 12, -7*j = 2*b - 2*j - 2. What is the second biggest value in -3, b, 2\/11, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 105\/1804 and -53\/246?\nAnswer: 5412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -50*z**3 - 12*z**2 + 7*z + 19. Determine a(-3).\nAnswer: 1240","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -260, -252, -240, -224, -204, -180, -152?\n\"Answer: 2*q**2 + 2*q - 264","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1525*f - 27 = -1525*f + 3*x, 14 = 2*f - 2*x for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 23021 + -23014. Let n(b) = -3*b**2 + 15*b - 18. Let r(d) = d**2 - 5*d + 6. Let w(x) = -3*n(x) - 8*r(x). Determine w(p).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a gram in milligrams?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the third derivative of 1481*c**7\/70 - 5*c**4\/3 + 11*c**3\/2 + 1397*c**2. What is the second derivative of b(s) wrt s?\nAnswer: 53316*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:10 AM and 6:47 AM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**3 + 27*x**2 + 27*x + 20. What is q(-26)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -189\nAnswer: -2\/189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**3 + d**2 + d. Let o(g) = 4*g**3 - 16*g**2 - 7*g - 23. Let s(k) = -5*b(k) - o(k). What is the lowest common multiple of 11 and s(-11)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10 and 420996?\nAnswer: 2104980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 600 minutes after 4:07 PM?\nAnswer: 2:07 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Is 10593421 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**2 - 6*i + 2. Let c be (-2)\/((-7 + 2)\/10). Let b be c - 8 - -5 - 31. Let m be ((-60)\/(-75))\/((-4)\/b). What is s(m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the first derivative of c**3\/3 + c**2\/2 + 2*c - 2. Let x be h(0). Find the third derivative of -2*q**2 - 6*q**2 + 2*q**5 + x*q**2 + 3*q**5 wrt q.\nAnswer: 300*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1932, 8375, 19312, 34743, 54668?\nAnswer: 79087","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -7592, -60735, -204992, -485921, -949080, -1640027?\n\"Answer: -7593*p**3 + p**2 + 5*p - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 11\/3? (a) -57\/4 (b) 0.5 (c) -2 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3880322, 3880338, 3880364, 3880400, 3880446, 3880502, 3880568?\nAnswer: 3880644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (63 - (-14617)\/(-235))*70\/4?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00474986043 rounded to 7 decimal places?\nAnswer: 0.0047499","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in -9818, -4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 23946 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -59290000 to the nearest 1000000.\nAnswer: -59000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000169092 rounded to 5 dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**3 - 2*w**2 - 2*w. Let l be i(-3). Let y be 12\/(-10)*l\/(-6). What is the second derivative of -6*v**5 + v**5 + 4*v**5 - y*v wrt v?\nAnswer: -20*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 236994?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (3 + -12 + 2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-3\/4)*j**(-5)*j\/j**2*j\/(j\/((j*j**(2\/11)*j*j)\/j))*j)\/((j**(1\/4)*j)**(-34)*j**(-6)\/((j**(-5)*j)\/j)) assuming j is positive.\nAnswer: j**(1757\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -9*j**2 + 9. What is k(3)?\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1826850600 to the power of 1\/3, to the nearest integer?\nAnswer: 1222","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -8 - 271*d**3 + 33 + 267*d**3 wrt d?\nAnswer: -12*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 337*d + 7751. Let u be k(-23). Do u and -1\/2086 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -134 + 92. Let q = c + 42. Suppose 43*x - 47*x - 8120 = q. What is x rounded to the nearest one hundred?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the first derivative of 1\/20*i**5 - 1 + 2\/3*i**3 + 1\/2*i**4 - 3\/2*i**2 + 4*i. Let j(m) be the first derivative of v(m). Give j(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -6*(-1*110 + 1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 130 and -0.004.\nAnswer: -0.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 432\/11 or -31235?\nAnswer: -31235","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 e, and 1 w when three letters picked without replacement from pwpep?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -11 - -311?\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**4\/10 + 3*c**3\/5 + 7*c**2\/10.\nAnswer: -c**2*(c - 7)*(c + 1)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -25*o - 22*o - 22*o + 2*o**2 + (-o + 0*o - o)*(0*o - 2*o + o) + 3*o**2 - 3*o**2 - o**2 - 2*o**2 - o**2 + 5*o**2 as z*o + w + p*o**2 and give z.\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes before 3:42 PM?\nAnswer: 2:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (53 + 96*q + 34 - 87)*(0*q + 2*q + q + 2).\nAnswer: 288*q**2 + 192*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -601 (b) 2\/5 (c) -3.9 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 556 a factor of 16414788?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 20*(-8 + (-136)\/(-16)). Suppose -4*f - 6 = 4*r - r, -5*r = -2*f + 10. Solve 0 = -5*j - f*j + i for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r**3\/5 + 6286*r**2\/5 - 18912*r\/5 - 113256\/5 = 0. Calculate r.\nAnswer: -3146, -3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 + -10?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 75 = -21. Let u = 2.181 - 2.081. Put c, -1, u in descending order.\nAnswer: u, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n + 24. Let j be a(13). Suppose 4*t - j = 29. What is the remainder when 16 is divided by t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -138*m**4 + 6*m**2*x - 14*m*x - m + 3 wrt m.\nAnswer: -1656*m**2 + 12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3\/(-6))\/(1\/(-4)). Suppose 18*k - 3*k = 45. Solve -4*o - 3*t + 7 = 0, 0 = k*o - 4*o + a*t + 10 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 66*p**2 + 3*p + 6. Let x be (2 - 12\/9)\/((-1)\/3). Let b be q(x). Suppose -2*t + b = 3*f, 48 = f - 3*t - 29. List the prime factors of f.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2742.3 at most as big as -17784?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/7 - 22\/(-77). Suppose z*t = -3*t + 12. Suppose f - 6*f = 3*v + 17999985, 0 = -t*f - 5*v - 14399975. Round f to the nearest 1000000.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the third derivative of 0*a + 0*a**3 - 11\/12*a**5 + 0 + 87*a**2 + 0*a**4 - 109\/120*a**6. What is the third derivative of f(u) wrt u?\nAnswer: -654","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -49 + 929\/19. Let z be ((-3)\/5)\/(4 - (-5)\/(-2)). Which is the nearest to z? (a) 2 (b) -0.1 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o**2 + o**2 + 3*o**2)*(0 + 0 - o)*(19*o - 28 + 28)*(3 - 3 - 4*o).\nAnswer: 228*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1403189, -1403221, -1403253?\n\"Answer: -32*k - 1403157","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**2 + 3*p - 36. Is a(8) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 times -7225.61?\nAnswer: 79481.71","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**2 + 18. Let b(f) = -f. Let j(o) = -2*o. Let c = -102 - -111. Suppose c*q - 93 = -21. Let i(y) = q*b(y) - 3*j(y). Give l(i(g)).\nAnswer: -4*g**2 + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 8\/13, -843, -10 in increasing order.\nAnswer: -843, -10, 8\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the third derivative of u**5\/30 + u**4\/24 - 2*u**3\/3 - 3*u**2. Let f be w(2). Let y = 0 - f. Sort -1\/6, 5, y in descending order.\nAnswer: 5, -1\/6, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 83125 and 155743?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -89 - -90. Let m(s) = -24*s**3 + s - 1. What is m(i)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -43460 divided by -20?\nAnswer: 2173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8179.\nAnswer: 8179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**2\/4 + 9453*q\/4 - 9455\/2.\nAnswer: (q - 2)*(q + 9455)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14.19 - 19.19. Sort -2, -17, y, 0.1 in ascending order.\nAnswer: -17, y, -2, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -5*w**3 - 12*w**2 - 6*w + 28. Let b(l) = 15*l**3 + 34*l**2 + 17*l - 76. Give 6*b(o) + 17*k(o).\nAnswer: 5*o**3 + 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*g**3*z**4 - 115741*g**3*z**2 + 33*g**3*z + 2*g**3 + 12257*g wrt z.\nAnswer: 72*g**3*z**2 - 231482*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -2\/819 (b) 0.2 (c) 5 (d) 16 (e) 30\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.4, 1.9, -5, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 8\/25 and 29\/65.\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-366)\/(-90)*5*3 - 1. Let x(d) = d**2 + 44. Let o be x(0). Let j be o - (3\/3 + -2). What is the greatest common divisor of v and j?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*m - 245 = 28*m. Which is the closest to -1? (a) 4 (b) 1 (c) m (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 359.001296 + -359. Round l to 4 dps.\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 187, 320, 461, 610, 767, 932?\n\"Answer: 4*m**2 + 121*m + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (-1 - -3) - (-1)\/(-3).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 989153?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times -1774\nAnswer: -354.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 7*i + 48*i**2 + 0*i - 22*i**2 - 26*i**2 + 156*i**3 to the form t + z*i**2 + x*i + m*i**3 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2a - 1?\nAnswer: -2b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -138*c**4 - 19078*c**3 + 32134*c**2 - 6482*c - 6436 = 0. What is c?\nAnswer: -3218\/23, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**4\/7 + 18*q**3\/7 - 45*q**2\/7 + 24*q\/7.\nAnswer: 3*q*(q - 1)**2*(q + 8)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -63 + 63.29. Put s, -0.1, -0.5 in decreasing order.\nAnswer: s, -0.1, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4705347786 by 3.\nAnswer: 1568449262","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11\/(770\/30))\/(0 + 6).\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the first derivative of -p**7\/168 - p**6\/36 - p**5\/24 - 11*p**3\/3 + 9. Let h(j) be the third derivative of q(j). Determine s, given that h(s) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 4685.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Do 6468005 and -20 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/5 (b) -5.3 (c) 1 (d) -0.23 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**3 - 23*u**2 + u - 17. Calculate h(-23).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-225)\/(-495)*(-116358)\/5160?\nAnswer: -41\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*n + 11*n - 6*n.\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 3*k = 3*j - 18, -3*k - 15 = 0. Suppose l = -j*d + 152, -5*d + 2*l + 2*l + 276 = 0. Is d a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes before 10:53 AM?\nAnswer: 4:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -2*x**2 - 2*x + 27. Let d be f(3). Solve -q - 5 = 0, 0 = -3*j + j - d*q - 11 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 177572, 177595, 177618, 177641, 177664, 177687?\nAnswer: 177710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -214.2 - -230.2. Is u greater than 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3.1 + -3. Let f = 0 - v. Let s = -2 + -2. What is the nearest to f in 0.4, s, 4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12590381 by -1.\nAnswer: -12590381","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/7)\/(145\/(-406))\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 143651357*v**2 + 59228199 wrt v.\nAnswer: 287302714*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 2*p**3 - 52*p**2 - 132*p + 99. Is a(34) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*b**4 - 625*b**3 + 80*b**2 + 10000*b.\nAnswer: -5*b*(b - 4)*(b + 4)*(b + 125)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2d (base 16) to base 2.\nAnswer: -101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5885 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3 - 2\/(-4)*10. Suppose -5*g = -0*g - 20. What is the nearest to -2\/3 in h, -5, g?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*b**2 - 13709*b + 13709*b - 20 + 52*b**3 + 9*b**2 - b**2.\nAnswer: 52*b**3 + 2*b**2 - 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 61 + -79. Suppose 5*k + 145 = -0*k. Let l = k + 59\/2. Sort l, 1, b in decreasing order.\nAnswer: 1, l, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = x + 1 - 8, 0 = -3*x + 3*r + 3. Suppose 2*o + 3*n - 19 = 0, -4*o = 2*n - 0*n - 18. Let j(s) = 4 - 4 + 1 + o*s**2 - 4*s. What is j(x)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kqkkkkkkkkkkkkk. Give prob of picking 1 q and 3 k.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and 86.\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -276, -274, -272?\n\"Answer: 2*a - 278","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 + 4. Let q = 3 - 4. Let f be (-1)\/((-1)\/q)*1. Which is the closest to f? (a) v (b) -2\/11 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes before 6:25 AM?\nAnswer: 6:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = -5*u - 39 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6 + -1)*(-2 + 1). Suppose 3*s + 52 = -v, -s - w*v + 3*v = 32. What are the prime factors of (-3)\/(2*6\/s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11 - -15. Differentiate -3 - p**4 + 4 + 0*p**4 + 3*p**d wrt p.\nAnswer: 8*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (90 - 71) + 133\/(-7). Suppose 2*w + 2 = -2. Sort w, v, 2, 1 in ascending order.\nAnswer: w, v, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and -0.06.\nAnswer: -0.024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 50 * 51\nAnswer: 2550","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes before 7:58 PM?\nAnswer: 2:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y. Let n be x(-5). Let p be n\/15 + (-26)\/(-6). Solve 8 = -5*u - 2, -p*f = u + 10 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1973*i - 320 = 2005*i for i.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**2 - x. Let z(r) = -2*r**2 + 4*r - 2. Let u(w) = 3*t(w) - z(w). Let y(h) = -h**3 - 6*h**2 + 16*h - 8. Let n be y(-8). Determine u(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -83769876*k**4 - k**3*t**2 + 6*k**2*t**2 - 25759*k**2*t - 11*k**2 - k - t**2 wrt k.\nAnswer: -2010477024*k - 6*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n - 14 = 5*n. Let h = -4 + n. Solve -3*k = -o + 4, -2*o + 1 = -h*o - 2*k for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4 + 1 + -1 + (-24 + -4)\/(-28). Put -101, 3, -1, t in descending order.\nAnswer: t, 3, -1, -101","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1036)\/(-555) - 2\/(-15). Let l(a) = 3*a**2 + 6*a - 6. Let j(i) = -i + 1. Let f(k) = 6*j(k) + l(k). What is f(v)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) -3\/19 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0 (b) -3\/4 (c) -2 (d) -0.3 (e) -0.1 (f) 0.050487\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 85 and 56100.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the second derivative of -63*r + 0 + 31*r**2 + 0*r**3 - 7\/6*r**4. Differentiate n(z) with respect to z.\nAnswer: -28*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*i**4 + 14*i**2 + 0*i + i - 8*i**2 + 2*i**3 + 2 - 5*i**2 to the form h*i**3 + z*i + a*i**2 + s*i**4 + j and give s.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes before 8:37 AM?\nAnswer: 9:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*l**2 - 376*l**2 - 188*l**2 in the form g + d*l + n*l**2 and give n.\nAnswer: -552","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -743*b**2*m**4 - 2*b**2*m**2 - 3*b**2*m + 593*b*m**2 - 12*m**4 wrt m?\nAnswer: -17832*b**2*m - 288*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + c - 25183 = -25198, -36 = -3*x - 2*c + 14 for x.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9300772 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1362 - -1475. Do -3 and k have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 198c + -3247?\nAnswer: -18bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the second derivative of y**6\/60 + y**5\/15 + 7*y**4\/72 + y**3\/18 - 6*y. Find i such that p(i) = 0.\nAnswer: -1, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a centimeter in micrometers?\nAnswer: 2500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 0.8850864 nanograms?\nAnswer: 0.0008850864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42*(26\/14 + -1)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28070.\nAnswer: 2, 5, 7, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*a**3 + 253638779*a**2 - 253638779*a**2.\nAnswer: 9*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18761 and 771?\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 2*g**3\/21 + 7388*g**2\/7 - 148014*g\/7 + 60268\/3 = 0.\nAnswer: -11102, 1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9 + 10. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 times -0.0769\nAnswer: 0.2307","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*c = -7 + 95. Suppose 4*t + 4*a - 88 = c*a, -4*t - 3*a = -53. Let d(s) = 7*s - 2. Is 14 a factor of d(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q - 3 - 22. Suppose 3*c - 11 = 2*g + 9, -3*c = q*g + 8. Let w = 4 - c. Solve -2*f - 3*f - 25 = w for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - -5) + (-17 - -5) + 10 + -46 + 1.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -159.5 - -160. Which is the nearest to -2\/5? (a) -3 (b) 0.1 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 4*p - 35 = 0, -2*u = -5*p + 52 + 2. Let a = 19 + u. Let f be (-4 - -2)*-1*a. Solve -3*b + 6*y = 2*y + 3, 5*y = -4*b - f for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13 + -2. Let l(z) = 2*z**3 - 9*z**2 - 20*z - 8. Is l(a) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-6)*-8)\/((-8)\/12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 243046400 and 285760?\nAnswer: 15040","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven eighths of a century in months?\nAnswer: 1650","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**3 + 2*m + 2. What is j(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2094407 to the nearest integer?\nAnswer: 1447","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -557 - -1146. Let p = -584 + g. Solve -p = -12*y - 5 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 <= 36\/54077?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3750 is divided by 121.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16 - -18. Suppose 20*a + 7*a = 1242. Suppose -a = -11*k - f. Let h(x) = x - 5. What is h(k)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:28 AM and 12:31 PM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -49, -380, -1285, -3052, -5969, -10324, -16405?\n\"Answer: -48*w**3 + w**2 + 2*w - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2164, -2156, -2148, -2140?\n\"Answer: 8*s - 2172","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.7, -1391, -52?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a millennium in years?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/60590943 and -89\/2480331.\nAnswer: 424136601","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6656*n = -6652*n + a - 1, -4*n - 20 = 4*a for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 41*p**2 - 140*p - 4. Let m(l) = 41*l**2 - 175*l - 5. Let s(x) = -4*m(x) + 5*n(x). Let r(i) = i**2 + 3. What is s(r(z))?\nAnswer: 41*z**4 + 246*z**2 + 369","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 9) in base 6?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 5*f - 2*f. Suppose -f*y - 80 = -8*y. Calculate the remainder when y is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -q**3\/5 + 33*q**2\/5 + 81*q - 15309\/5 = 0.\nAnswer: -21, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from veveeizezevvziv. What is prob of picking 1 z, 1 v, and 1 e?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.03 + -44.03. Let y = o - -39.9. Let b = 4 + y. What is the nearest to 1 in -0.4, -3, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**2 + 576*y.\nAnswer: 3*y*(y + 192)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*s = 6*s. Suppose -5*t + 8510 = 5*r - s*r, t = -5*r + 1694. Let q = 4481 - t. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5 or 966164?\nAnswer: 966164","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w - 11 + 2 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 17, v: 1, a: 1}. What is prob of sequence ppp?\nAnswer: 40\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the first derivative of 99*h**4\/2 + 285*h - 358. Differentiate p(l) wrt l.\nAnswer: 594*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*(o\/o**6)\/o*o\/(((o\/(o*o**(3\/4)\/o))\/o)\/o*o))\/(o**(-2\/7)\/o)**10*o**3*(((o**(1\/6)*o)\/o*o)\/o)\/o*(o\/((o*o*o**(-6))\/o*o))\/o**(-1) assuming o is positive.\nAnswer: o**(1493\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 1)*(-25 - 12 + 27)*(2 + 2 - 6)*(0*i - 4*i + i)*(2 + 4 - 5).\nAnswer: -120*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 7 - (56 - (-910)\/(-19)).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1064342 divided by -1514\nAnswer: -703","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -7408, -7433, -7460, -7489, -7520?\n\"Answer: -t**2 - 22*t - 7385","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -151\/1332 and 91\/16.\nAnswer: 5328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*o**2 - 16*o**2 + 12*o**2.\nAnswer: -10*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/25197 and -83\/705?\nAnswer: 5921295","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 32*f**3 + 4*f**2 - 9*f - 10. Suppose 7*x - 8 = -4*h + 3*x, -3*h + 3*x = -24. Is g(h) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2059251 (b) -5\/3 (c) 4 (d) 0.09 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a decade in years?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -20.3 - -19. Let r = 1.6 + h. Let f = -3.02 - -0.02. Put f, -2\/17, r in decreasing order.\nAnswer: r, -2\/17, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 740 and 200.\nAnswer: 7400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 10*n - 13 = 5*n, 2*u + 2*n = 16. Suppose 4*k - 2*j = 4, j - 6*j - 10 = -u*k. Let r be -1 + 550001\/1 + k. Round r to the nearest 100000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c - 8 + 4. Is 1\/6 != c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 189487666 to the nearest integer?\nAnswer: 13765","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81 + 273 = 8*g. Suppose g*r + 15*r - 234 = 0. Calculate the remainder when 0\/(-1) + 50\/2 is divided by r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (60\/(-8))\/5*(-3 + (-133)\/(-21)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10 + -9.92. Let t = -132\/305 - -2\/61. Sort z, t, 0.1, 5 in increasing order.\nAnswer: t, z, 0.1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -52.2 + 92.1. Let l = 0.075 + -22.875. Let u = l + y. Round u to zero decimal places.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s + s + 3*c + 85, -75 = 2*s + c. What is the units digit of (30\/s)\/(1\/(-7))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24133 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*m**4 - m**4 + 3*m**4 + 0*m**4 - m**4 + 3*m**4 + (-m**3 + 7*m**3 - 3*m**3)*(4*m - 3*m - 3*m) + 10*m**2 - 10*m**2 + m**4.\nAnswer: -5*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1273 - -3015. Does 26 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1540 by -2.\nAnswer: -770","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(3159) - sqrt(3159) - sqrt(3159))\/((sqrt(3) + (sqrt(27) - sqrt(3)))*6) - (-1*sqrt(117)*4)\/(sqrt(252)\/sqrt(7) + sqrt(9)))**2.\nAnswer: 325\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 53334*p - 2 + 53789*p.\nAnswer: 455*p - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2629300 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uoo when three letters picked without replacement from {u: 2, v: 2, o: 8, w: 1}?\nAnswer: 28\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000284851 rounded to six decimal places?\nAnswer: -0.000028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 164*r**2 - 21*r - 22. Let m(i) = 165*i**2 - 23*i - 22. Let u(k) = 6*a(k) - 5*m(k). What is the lowest common multiple of u(-2) and 18?\nAnswer: 1908","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**3 - 16*d**2 - 17*d - 14. Let r be w(17). What is the lowest common multiple of 4 and (-21)\/r*88\/3?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l**3 - 94602*l**2 + 8772315*l - 8677716 = 0. Calculate l.\nAnswer: 1, 92, 31441","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -226 - -257. Let t(v) = v**2 + 4*v - 2. Let p be t(-5). Suppose 2*f = 5*n - 2*n + 28, -p*f + q = n. What are the prime factors of f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 + 7 - (-5 - -23)) + (3 - -3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 3*u**2 + 17*u - 395. Let i be r(9). Which is the nearest to 1? (a) 2 (b) 6 (c) -0.4 (d) i\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 349211 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 178803455 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wd when two letters picked without replacement from xxwqwwzdzdzxdqxw.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -103, -0.4, -0.2, 0.01?\nAnswer: -103","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1\/7))**(-6\/13)\/(a**2\/a**(-5\/4)) assuming a is positive.\nAnswer: a**(-1159\/364)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 130.4977 nanometers in kilometers?\nAnswer: 0.0000000001304977","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 + 4. Let z = -6.4 + 1.4. Let a = b - z. What is the closest to a in 3, 0.3, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 1213475?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y*y**4*y**(-5\/2) assuming y is positive.\nAnswer: y**(5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/(-10)*(-2 + 22). Differentiate -15 + 2*x + 15 - 33*x - t with respect to x.\nAnswer: -31","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -9*m. Let y(t) be the first derivative of -t**4\/6 - 40*t**2 + 25. Let v(g) be the second derivative of y(g). Calculate v(r(b)).\nAnswer: 36*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, z: 1, o: 4, e: 2, s: 1}. Give prob of sequence se.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**7*z**4)**0)**(-11) assuming z is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d - 2*j - 384, j = -4*d - 126 - 391. Round d to the nearest 10.\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10691?\nAnswer: 10691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**3 + 11*v**2 + 11*v + 5. Let s be x(-10). Which is greater: -6 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lllllll. Give prob of sequence ll.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the first derivative of -x**4\/12 + 23*x**3\/9 + 85*x**2\/6 - 3179*x\/3 - 1306. Factor s(b).\nAnswer: -(b - 17)**2*(b + 11)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 55 + 94 = 11*x, 90 = 12283*x - 12282*x + 3*g for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(-80)*-14*((-960)\/(-112))\/(-10).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s*s**1)**(-7)*s**(-4)\/(s*s**(1\/3)))**(-1\/46))**(-2\/33) assuming s is positive.\nAnswer: s**(-79\/2277)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d + 5*j - 266, 184*j + 436 = 5*d + 185*j. What is the greatest common divisor of 609 and d?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3845? (a) -1\/9 (b) -4 (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 168 is divided by 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1719?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 2172.33 to the nearest ten thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 65749 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 15919354 to the power of 1\/3, to the nearest integer?\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 178\/4895 - 315\/1100?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6190, 2, -3, -3\/5 in decreasing order.\nAnswer: 6190, 2, -3\/5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1724 = 19*y - 21*y. Let g = y + 1358. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 39*k**3\/5 - 261*k**2\/5 - 84783*k\/5 + 212121 = 0.\nAnswer: -49, 13, 555\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 22*b - 12*b - 1230. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 103922 divided by 51961.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.8 plus 8363.598?\nAnswer: 8362.798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.1, 5, 58, -3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -31b6 - d?\nAnswer: -31c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**4\/9 - 10*g**3\/9 + 26*g**2\/9 - 14*g\/9.\nAnswer: -2*g*(g - 1)**2*(g + 7)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**10\/(a*(a\/(a\/(a**(-2\/19)*a)))\/a*a*a*a))**6 assuming a is positive.\nAnswer: a**(696\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 4*s + 17. Let g(v) = 2*v + 9. Let h(k) = 5*k - 14. Let q be h(5). Suppose -5*p + 4*p = q. What is p*g(u) + 6*b(u)?\nAnswer: 2*u + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -22 - -211?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 16*n**2 + 1019*n + 9072. Determine h(-9).\nAnswer: 1197","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 4*(((sqrt(891) + 0)*3 + 5)**2 - (3 + -6*-1*sqrt(891))**2).\nAnswer: -96165 - 216*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 27702 - 27692. Put 0.1, 19\/16, p, -0.2 in decreasing order.\nAnswer: p, 19\/16, 0.1, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 170, 149, 102, 17, -118, -315, -586?\n\"Answer: -2*l**3 - l**2 - 4*l + 177","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-24))\/((24\/(-234))\/((-113)\/(1469\/30))).\nAnswer: 15\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**3 - 4*u**2 + 60*u - 3. Give z(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 31*q - 25*q + 24 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 553*s + 5152 = 875*s for s.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 325803 is divided by 10506.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d. Suppose 10*n - 4*n = 618. Suppose 4*f - 84 = -0*f + 4*p, 5*f - n = 3*p. Let o(z) = -5*z**2 - 8*z**2 + f*z**2. What is m(o(v))?\nAnswer: -7*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -32, -3.\nAnswer: -32, -3, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q*q*q**(-5)))**19\/((q*q\/q**(-28\/9))\/((q*q**(-33))\/q)) assuming q is positive.\nAnswer: q**(341\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 2828945 divided by 33\nAnswer: 2828945\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4 + 2*o**6 + 48*o**3 + 704*o**4 + 308*o**2 - 704*o**4 + 4 wrt o?\nAnswer: 240*o**3 + 288","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 6654830 + a**2 + 12*a + 5*a**2 + a**3 - 6654822 = 0. Calculate a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 7*c - 3. Let u(n) be the second derivative of 1\/5*n**5 + 0*n**2 + c + 2*n + 2\/3*n**3 + 0*n**4. Find the second derivative of u(p) wrt p.\nAnswer: 24*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3.31 - -0.51. Let o = l + 3.62. What is o rounded to 1 decimal place?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 + -2. Let u(n) = -n**2 + 2 + 2*n**3 + 3 - 11 + 7. Let o be u(z). Solve -3*i + o + 0 = 2*q, -18 = -2*i + 2*q for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 19\/98 + 6238\/49. Let h = -2089 - -2217. Which is bigger: f or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -96*p**4 - 8*p**3 + 9*p**2 - 8. Let u(f) = 32*f**4 + 3*f**3 - 3*f**2 + 3. Let m(y) = 8*u(y) + 3*w(y). Find the third derivative of m(j) wrt j.\nAnswer: -768*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2241 + -1791. Suppose -4*u - 7 = 9. What is the common denominator of 3 + u*155\/g and 37\/4?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 84*1 - (3 + -3). Suppose -4*p = 2*c - 4*c - i, 5*c + 72 = 4*p. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 13) to base 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 15235.57 to the nearest 10.\nAnswer: 15240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**2 - w + 1. Let s(b) = -7*b**2 + 3*b - 4. Let r(g) = 2*k(g) + s(g). Let c be r(-2). Calculate the remainder when 12\/10*(-540)\/c is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1.5944643 from -2357.\nAnswer: -2358.5944643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**2 - q + 4. Let t(g) = -g. Let a(l) = f(l) + 3*t(l). Let c(j) = 6*j**2 - 21*j + 21. Let m = -255 + 266. Give m*a(w) - 2*c(w).\nAnswer: -w**2 - 2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5908*i + 192857 - 456591 = 132102 for i.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-18)\/(-8) - (-3)\/(-12). Let k be 12\/7 + (-2)\/(-7). What is the first derivative of 2*j**2 - k - 3*j**2 + b*j**2 wrt j?\nAnswer: 2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jrvrjjjjrrajqrjjr. Give prob of sequence qr.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*c - 2*c + 5*c)*(2*c + 2*c - 3*c) + 2*c**2 - c**2 - 2*c**2 + (5 - 25 - 17)*(4*c**2 - 2*c**2 + 0*c**2) - c**2 - 1 + 1 as g*c + d + b*c**2 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**2. Let f be (-54)\/(-45)*5\/3. Let g(i) = 6*i**2 - 5*i**2 + i**f. Determine c(g(a)).\nAnswer: -4*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4801402299 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1293 to the power of 1\/2, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 332*s**2 - 3330*s**2 - 904*s**2.\nAnswer: -3902*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s - 16 = 5*d, 3*d = 6*s - 5*s - 16 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/(r\/r**23*r))\/r)\/(r*r**30))**(-36\/7) assuming r is positive.\nAnswer: r**(360\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 24, -381252 in decreasing order.\nAnswer: 24, 0, -381252","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 92 a factor of 460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -2*o**3 + 2*o**2 - 4*o - 1579. Give p(0).\nAnswer: -1579","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 108\/(-60)*(-20250)\/(-15795)\nAnswer: -30\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -17*(-60)\/2805*-55?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 67116705 to the power of 1\/6, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/59760 and 109\/80?\nAnswer: 59760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (570\/50)\/((-48)\/(-45) - 1)?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(1\/11)\/(z**11\/z) assuming z is positive.\nAnswer: z**(-109\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(45\/669) - (-8)\/60. What is the greatest common factor of t and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1195*w**4 - 1053?\nAnswer: -4780*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10\/51 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1b3e6 - 4?\nAnswer: 1b3e2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3501 + 52?\nAnswer: -3405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 9*j**2. Let p(w) = -8636*w. What is d(p(a))?\nAnswer: 671224464*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = d + 14, 3*d + d = -4*v + 4. Let m be v*(1 + 0) + 3. Suppose -m*l + 2676 = -2970. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, h: 2, t: 1, q: 1}. Give prob of picking 1 t and 1 z.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 4*o**3 + 4*o - 4*o**3 - 7*o**4 + 7 + o**3. Let i(m) be the first derivative of 3*m**5\/5 - m**2 - 3*m - 5. Let c(w) = -5*i(w) - 2*v(w). Factor c(x).\nAnswer: -(x - 1)*(x + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 168\/113 - 412330\/277189. Let o = d - 517573\/12265. Let h = -42 - o. Which is greater: h or 0?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 + 1. Suppose 0 = -3*a + 6, -2*a = x - 5*a - 6. Solve 8 = 5*s - x, 0 = -t + b*s - 13 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -7 - (-14)\/42*48. Solve -182 = -l*x - 164 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:58 AM and 7:29 AM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 448.00812ms?\nAnswer: 0.0001244467","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3 + 61\/21)*-3. Which is the third biggest value? (a) 0 (b) d (c) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110002200 (base 4) to base 14.\nAnswer: 21cac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 + -8. Is p + 1 + (27 - 1) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7914093?\nAnswer: 3, 11, 23, 10427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4107*v**4\/8 - 365301*v**3\/8 + 54527859*v**2\/8 - 2946651*v\/8 + 4977 = 0. What is v?\nAnswer: -168, 1\/37, 79","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -374*p**2 + 9*p + 8. Suppose 4*b - 5 = 3*i - 31, 2*b = 3*i - 10. Let g be u(b). What is g rounded to the nearest 10000?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 2*l. Let h(x) = -x. Let j(i) = -4*h(i) - t(i). Let f(b) be the first derivative of b**2 - 13. What is j(f(g))?\nAnswer: 4*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**3 + 7*d**2 - 4*d + 6. What is the smallest common multiple of w(6) and (11\/(-2) - -1)*672\/(-126)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 34 = 2*g, 4*r - 2 = 3*r - 2*g. Let z be 86\/r + (-4)\/(-6). Calculate the highest common factor of z and 165.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 39 - 20. Let k be (-1 - (-2 - 2))*(27 - 26). Let f be u - 0*k\/(-3). What is the greatest common factor of 152 and f?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes before 8:05 AM?\nAnswer: 4:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-6)\/(-10))\/((-9)\/45). What is the closest to -2\/3 in a, 3, 6?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15531?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -240 + 63037?\nAnswer: 62577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-178*t**3 - 162*t**3 + 259*t**3)*(7 + 4*t - 7) to the form s*t + c*t**2 + i*t**3 + g*t**4 + f and give g.\nAnswer: -324","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2105404, 2105407, 2105410, 2105413?\n\"Answer: 3*d + 2105401","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the third derivative of -i**5\/60 - 7*i**4\/12 - 165*i**2. Factor x(c).\nAnswer: -c*(c + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2021.4 + 288.6. Let v = 2174.1 - b. Let n = v + 128. Round n to 0 dps.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 + 3160?\nAnswer: 3157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -385507999 + 0.5.\nAnswer: -385507998.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.02 times -75187\nAnswer: -1503.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 432 = -4*z, -b + 216 = -3*b + 3*z. Let r be -1*(b + -1) - 4. Suppose w = 9 + 12. Calculate the highest common divisor of w and r.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x**(-11)*x)\/x)\/x)**38*(x*x\/(x\/(x\/((x*x**(-6)*x*x)\/x)*x*x))*x)**(17\/3) assuming x is positive.\nAnswer: x**(-367)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 2325423196?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -748.96 - -750. Let w = k + 2.96. What is the third biggest value in w, 1\/7, -0.5, 1\/3?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 25220022 and 764?\nAnswer: 382","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the first derivative of 0*g + g**2 - 1 + 1\/3*g**3 + 1\/30*g**5 + 1\/6*g**4. Let t(k) be the second derivative of j(k). Let t(x) = 0. Calculate x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 15*d**6*i**2 - 4597*d**4*i**3 - 5*d**2*i**3 + 19*d**2*i**2 + 11*d*i**3 wrt d.\nAnswer: 1800*d**3*i**2 - 110328*d*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -1909*r**3 + r**2 + r + 1. Let z be y(-1). Round z to the nearest one hundred.\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*j - 69*j + 0 - 1)*(-16*j + 73*j + 288*j).\nAnswer: -21735*j**2 - 345*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 150 and 270?\nAnswer: 1350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*z = -6*z - 10. Let g = 696 + -4869\/7. Suppose g - 6\/7*q + 3\/7*q**z = 0. What is q?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.13 minus 133189?\nAnswer: -133188.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*u\/(u**8\/u)*u*u**(8\/5)*u*u\/(u*u\/u**(2\/29)*u)*u**(4\/11) assuming u is positive.\nAnswer: u**(-4733\/1595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2289502?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 + 15. Let a(x) = x**3 - 8*x**2 - 8*x + 13. Suppose 6 = p - 0*p + 2*g, 2*p + 2*g = 18. What is the remainder when a(w) is divided by p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/20 and 5\/(-5) + (-37)\/(-10).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 740 a factor of 3820559?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the first derivative of -2\/13*i**3 - 1\/26*i**4 - 24\/13*i + 16\/13*i**2 - 56. Factor l(x).\nAnswer: -2*(x - 2)*(x - 1)*(x + 6)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -3*n - 8. Let h be b(-4). Suppose 0 = 4*z - 16, -h*r + 2*z = -2*r. What is the closest to 1\/3 in -5, 0.1, r?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 2*s**3 - 1 + (5*s**2 + s**2 + 0*s**2)*(-41830 + 41830 + 73*s) as l*s + d + j*s**3 + f*s**2 and give j.\nAnswer: 436","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-nine halves of a tonne in kilograms?\nAnswer: 34500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*o**5\/3 + 70*o**4\/3 + 60*o**3 + 170*o**2\/3 + 55*o\/3.\nAnswer: 5*o*(o + 1)**3*(o + 11)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 78 - -542. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w + 2*r = 17 + 1, -4*w + 3*r = -13 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**2 + 9*m + 2. Let q be y(-9). Suppose -2*v = q*u - 416, -4*v - u = -5*u - 808. What is the tens digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((5*i + i - 4*i)*(i - 2*i + 2*i) - 2*i**2 + 13*i**2 + 150*i**2)*(i - i + 3*i**2).\nAnswer: 489*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:31 AM and 12:33 PM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4136 * -241.\nAnswer: 996776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 68*a + 72. Let g be u(-1). Suppose 11*d = g*d - 3*d. Suppose 5*f + 10 = r + 4*r, -r + 2 = 5*f. Solve -r*m - 10 + 2 = d for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2947 + 2942. Let c(i) = i**3 + 4*i**2 + 18. What is c(s)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2222112 (base 3) in base 16?\nAnswer: -87e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -28 - -31. Let p(z) = -4*z**2 - 2 + 2*z**2 + v*z + z**2. Give p(5).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*s = 7*s + 16. Suppose s*o - 404 = -0*o. Does 23 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -7867000 to the nearest one million.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 - 1)\/((-162)\/(-30) + -5). Let o(h) = 11*h - 37. Let y(l) = -21*l + 76. Let t(v) = d*o(v) - 3*y(v). What is the remainder when 7 is divided by t(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the second derivative of -21*w - 1\/33*w**3 + 3\/11*w**2 - 1\/22*w**4 + 1\/110*w**5 + 0. Find p, given that n(p) = 0.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 130180*q**2 - 144972*q?\nAnswer: 260360","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -147521 + 147521.079993. Let t = 189 + -188.92. Let s = p - t. What is s rounded to six dps?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20744?\nAnswer: 2, 2593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 2*a**2. Let n(b) = 2*b**2 + 6. Give c(n(y)).\nAnswer: 8*y**4 + 48*y**2 + 72","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -264795, -2 in descending order.\nAnswer: 4, -2, -264795","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 3*g**2 + 175*g - 104. What is p(-59)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27900 divided by 4650.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u - 5*r + 5, -3*u - 3*r - 2 = -5*r. Let a(d) = d**3 + d**2 + 1. Let t be a(u). Let f = 4.971 - 4.571. What is the closest to 0.1 in t, -4, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -9*n**3 + 4*n**2 - 4. Let m be a(3). Let t = -92 - m. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**3 + 3*d + 3. Let f(b) = -b**3 + 5*b + 6. Give -3*f(h) + 5*j(h).\nAnswer: -2*h**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 471 + -624.19. What is s rounded to 0 decimal places?\nAnswer: -153","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 338545424 a multiple of 127?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes after 1:53 PM?\nAnswer: 1:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*y**3 - 15*y**3 + 120 - 120.\nAnswer: -11*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5.8 + 0.2. What is the second biggest value in -6\/7, s, -0.6, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 363 and 1485?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (27 - 5) - (-1 + -7 + 0).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 307949.\nAnswer: 101, 3049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 19 = -2*f, f + 0*c = -4*c + 4. Let k(a) = a**3 - 8*a**2 + 3*a + 3. What are the prime factors of k(f)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -27807 - -27816. Let n = 0 - 4. Put n, -1, 2\/9, c in increasing order.\nAnswer: n, -1, 2\/9, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -370*-9\nAnswer: 3330","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -112 + 158. Let i = -46.57 + y. Let a = i - 1.43. What is the nearest to a in -5, 2\/9, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 63 by -5.\nAnswer: -63\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6913 + 6930. Solve -q + 3*p - 14 = 0, 0 = -12*q + j*q + 2*p - 32 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2020 = 19*x + 1830. What is the lowest common multiple of x and 60*(3\/2 - 1)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -581.8 + 582. What is the third biggest value in 145, z, 5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 180 = 2*y - 2*g, 3*y - 6*y = -g - 278. Let i = -91 + y. Solve 12 + 3 = i*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 188402 = 24*a - 238066 + 83628. What is the thousands digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 293510 and 6370.\nAnswer: 3815630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkze when four letters picked without replacement from ekkz?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -2*g**3 - 346*g**2 + 355*g + 2204. Calculate s(-174).\nAnswer: 986","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + sqrt(4)\/sqrt(2) - sqrt(2)) + sqrt(2) - (4 + (sqrt(2) - (sqrt(2) - sqrt(18))) - sqrt(2)))**2.\nAnswer: -2*sqrt(2) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1872)*2 + 3)*-6.\nAnswer: -144*sqrt(13) - 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 76*s**4 - 1551*s**3 - 149 - 232*s**4 + 71*s**4 + 84*s**4 wrt s?\nAnswer: -4*s**3 - 4653*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14979, -29977, -44975, -59973, -74971, -89969?\nAnswer: -104967","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-41)\/((-5863)\/(-182)) + 6\/22 - 4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 199, 800, 1777, 3136, 4883, 7024, 9565?\n\"Answer: k**3 + 182*k**2 + 48*k - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes before 12:23 AM?\nAnswer: 2:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -2*p. Let v(c) = c**2 + c - 4. Let w be v(-3). Suppose w*g - 5*g = 0. Is p < g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -4*t**3 + 11*t**2 + 21*t. Let h(n) = -2*n**3 + 6*n**2 + 11*n. What is -11*h(p) + 6*j(p)?\nAnswer: -2*p**3 + 5*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*p**5\/7 - 4*p**4 + 172*p**3\/7 + 148*p**2 - 168*p = 0. Calculate p.\nAnswer: -7, 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4515?\nAnswer: 3, 5, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u**3 + 6*u**2 - 3*u.\nAnswer: -3*u*(u - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 14*l + 41 + 127 for l.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*l - 26810*l**3 + 11*l + 9*l.\nAnswer: -26810*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*m**2 - m**2 + 2*m**2)*(195 - 17*m**3 - 198 - 2*m**3).\nAnswer: 38*m**5 + 6*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 876911 and 1071.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85 is divided by 33?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 1. Let l(h) = 4*h + 3. Calculate 2*a(x) - l(x).\nAnswer: -4*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 4*r**2 - r - 2. Let s(m) = m + 1. Determine -s(w) - x(w).\nAnswer: -4*w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 886\/886*1\/((-4)\/(-2)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -24.45*-0.2919\nAnswer: 7.136955","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c + 4*d + 14 = 0, -174*c - 4*d - 17 = -173*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.86 + -0.06. Let p = g - 0.5. Which is the third smallest value? (a) p (b) 3 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**3 - 6*n**2 + 7*n - 9. Suppose 19*c - 17*c + 14 = 0. Calculate z(c).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**2 - 4*u + 55. Give y(5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1099954 + -1099954. Factor b**3 + 1\/2*b**2 - 1\/2*b**4 + a - b.\nAnswer: -b*(b - 2)*(b - 1)*(b + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5, 11.\nAnswer: 1, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(8\/5))**(22\/7)*(v**(1\/4)\/v)\/v*(v*v**(1\/25)*v*v)\/v)**(-26) assuming v is positive.\nAnswer: v**(-48399\/350)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 924 rounded to the nearest 100?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 602*g = 605*g - 9. Solve 2*d + d - 1 = 5*o, -o - d = -g for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p\/p**15))\/(p\/p**15) assuming p is positive.\nAnswer: p**29","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add together 31.19 and 0.0203.\nAnswer: 31.2103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 352376?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 187 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*r + 959 - 953 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 p when two letters picked without replacement from {g: 3, p: 5}?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 4*o**2 + 9*o + 14. Let p be k(-3). Suppose 7*f = 5*f - 5*c - 5, 4*f = c + p. Let n(a) = -3*a**2 + a**3 - 2*a**3 + 9*a**2 - 4*a - 4. Determine n(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1994593, -1994554, -1994515?\n\"Answer: 39*o - 1994632","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1\/12270 + 254608\/67485. What is the common denominator of r and 5\/38?\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -2*m - 1. Let w(o) = 2*o. Determine w(x(j)).\nAnswer: -4*j - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes before 9:58 PM?\nAnswer: 4:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 6*n**2 - 36*n + 611. What is the tens digit of i(49)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.025 - 4.975. What is the second smallest value in -0.17, -1\/4, v?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 27.9999678 + -28. What is q rounded to 6 dps?\nAnswer: -0.000032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 146643654?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-16)\/(-6) - 2)\/(10\/(-6)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -25 + 19. Let i = g - -7. Differentiate -8 + 6 - i + 4*u**2 with respect to u.\nAnswer: 8*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000082292287 to 6 decimal places.\nAnswer: 0.000082","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -41857 or -41856?\nAnswer: -41857","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4.5 - 4.845. Let f = -0.655 + k. Let i = -2.04 + 0.04. Which is the nearest to i? (a) f (b) 0 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(((-35)\/(-20))\/(-7))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -963*d**3 - 1989*d**3 - 3756*d**3.\nAnswer: -6708*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n - 4*a - 5 = 0, -16*a + 18*a + 20 = -2*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i - 4*k - 2, 28 = -3*i + k - 10. Let l = i - -15. Suppose 4*q - 12 = -l. Solve q*y = -2*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 789361390 rounded to the nearest 100000?\nAnswer: 789400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 4*j = -2*i - 25, 4*j + 11 = 3*i. Let d be ((-3)\/i)\/(2\/(-30)). What is the third derivative of -3*p**2 + 2*p**6 + d*p**6 - 5*p**6 wrt p?\nAnswer: 240*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -3*j**2 + 62*j - 543. Let c(k) = 3*k**2 - 78*k + 543. Calculate -5*b(p) - 4*c(p).\nAnswer: 3*p**2 + 2*p + 543","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*r + 32 = 28*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 8 + 8 = 0. Suppose z - 284 = -4*q, v = -2*z - 5 - 3. Is 24 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -68.579 - 5250533?\nAnswer: -5250601.579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1\/85 (b) -2 (c) 851 (d) -0.5 (e) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 2*u**2 + u - 56. Let y(j) = 51*j**2 + 6*j - 449. What is 6*v(t) - y(t)?\nAnswer: -39*t**2 + 113","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**2 - 7*h + 9. Let u = -4541 - -4529. Determine k(u).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 0*b - 184 = -5*l, b - 84 = -2*l. Let t = l + -37. Suppose t*m - 7 = 4*d + 2, 0 = 5*d. Solve m*g - 14 = 1 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50839666 to the power of 1\/2, to the nearest integer?\nAnswer: 7130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100*i - 118*i + 191*i + 2453949 = 0. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -129\/388 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4 and 166.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -2*d**2 - 9*d + 6. Let s be v(-5). Let c be 4686\/7 + s\/(7\/4). Calculate the highest common divisor of 10 and c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4399 + -3081. Let y = 3774 - n. Let s = -17239\/7 + y. What is the common denominator of 6\/43 and s?\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 146753?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5124453045 - 1?\nAnswer: -5124453050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20 + -18)*(4 - 2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**2)\/g*g**(2\/17)\/g*(g**0)**(-25\/4))\/(((g\/(g\/(g\/(g**(-3\/4)\/g)))*g)\/g)\/g*g*g**(-2\/7)*g**(2\/5)*g**(2\/17)) assuming g is positive.\nAnswer: g**(-821\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2\/(-3))\/(((-24)\/60)\/(33\/55)). Solve -i = 7*m - 3*m + l, -2*m + 5*i - 17 = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 2 s when three letters picked without replacement from {w: 1, b: 2, s: 2, y: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 487487, 3900590, 13164723, 31205402, 60948143, 105318462?\n\"Answer: 487586*l**3 - l**2 + 4*l - 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 459559479?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = -0*y + 5*y + 3*i, 3*i + 27 = -3*y. Let c(d) = d**3 + 6*d**2 - 2*d + 5. Calculate the remainder when 33 is divided by c(y).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s + 1. Let h be u(5). Suppose -5*g = 3*v - 40, -58 = -2*v - 2*v - 2*g. What is the highest common divisor of v and h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 40\/(-52))*(-16)\/(-24)\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(-8)*p**4*((p**(5\/7)*p)\/p*p)\/(p\/(p\/((p\/(((p*p**(-1\/8)*p)\/p)\/p*p))\/p))))\/((p**5\/(p\/(p*p**2*p*p)*p))\/((p*p**3*p)\/p**(2\/5))) assuming p is positive.\nAnswer: p**(-1067\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(260)\/sqrt(45) + 6*sqrt(208)\/sqrt(4))\/((sqrt(400) - (sqrt(400) - sqrt(400)*-2*4))*3).\nAnswer: -19*sqrt(13)\/720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Solve -6796*r = -4*k - 6792*r + 8, 5*k + 2*r - 3 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (23 - (16 - 4)) + -27?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 350119 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 2084847316.\nAnswer: 2, 521211829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 72\/5 of a litre in millilitres?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.4+-246.42\nAnswer: -246.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 + 1. Let b be 1 + c\/((-9)\/21). Let z(p) = p**3 - 9*p**2 + 8*p + 4. Is 4 a factor of z(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 36 and 168327.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -2*w + 180. Calculate the highest common divisor of w and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -20741 and 0.1206.\nAnswer: -20740.8794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6178791.\nAnswer: 3, 571, 3607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 + 5 + 10 - 2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand d**3 - d**3 + 4*d**3 - 3*d + (-d**3 - 3*d**3 + 7*d**3)*(-1 - 2 - 3)*(3 - 8 + 3).\nAnswer: 40*d**3 - 3*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -273196448\/941294061 - 802\/100469. Let l = y + 2\/1041. Which is smaller: l or 0?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + m + 7 = 0, 3*k + 521*m - 66 = 524*m for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 14789 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5bb1 + 19?\nAnswer: 600a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 392756.04us?\nAnswer: 0.0001090989","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -3\/952, 3, 1827 in ascending order.\nAnswer: -7, -3\/952, 3, 1827","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 8606620872 divided by 3?\nAnswer: 2868873624","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 16040 + -16039.9. Which is the second smallest value? (a) 0.7 (b) m (c) 12 (d) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/7 and -37\/86.\nAnswer: 602","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 2 r when four letters picked without replacement from ffrfrrrffrrff.\nAnswer: 63\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12 - -1) + -6 + -9.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**1\/o)**7\/(((o\/(o*o**(-1\/3)))\/o)\/(o*o*(o\/(o**(-1\/5)\/o))\/o)) assuming o is positive.\nAnswer: o**(58\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 18*q + 13. Let h(k) = 8*k + 6. Calculate -13*h(x) + 6*t(x).\nAnswer: 4*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 33108074941 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 15 + 54 = 0. Let n(x) = 3*x**2 - 5*x - 39. Let v be n(5). Which is smaller: r or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58 + 3 = 5*f. Let v(h) = 5*h**2 + 7*h - 4. Let n(o) = 9*o**2 + 13*o - 7. Give f*v(c) + 6*n(c).\nAnswer: -c**2 + c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 768698779 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3, 16, -12046, -0.3, -2\/11, -3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = h - 36. What is the tens digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**3 + 4*h**2 + 4*h - 5. Let w = 38 - 34. Determine j(w).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 2 k when four letters picked without replacement from zxskbhzx.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**3 + 15*g**2 + 15*g + 19. Let a be o(-14). Suppose -5*t + 12 = -2*d - 16, 5 = a*d. Is 305*1\/(10\/t) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2723, -2727, -2735, -2747, -2763, -2783, -2807?\nAnswer: -2835","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 82991.4um to centimeters.\nAnswer: 8.29914","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10539507 is divided by 466.\nAnswer: 451","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 64.08682km in millimeters?\nAnswer: 64086820","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1.77129t?\nAnswer: 1771290000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 563 - 523. Does 10 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 4, l: 6, m: 10}. Give prob of picking 3 w.\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1579 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the first derivative of -7*x**2\/2 + 24. Let c(f) = -37*f**2 - 2*f. Give c(s(p)).\nAnswer: -1813*p**2 + 14*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 75825666.074 - 0.3.\nAnswer: 75825665.774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 19 - -1. Let o(k) = 13*k**3 + 27*k + 16*k**3 - 5*k - 28*k**3 - 4 - 21*k**2 + 16. What is the units digit of o(x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 101, 419, 945, 1673, 2597, 3711, 5009, 6485?\n\"Answer: -y**3 + 110*y**2 - 5*y - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 543 = -5*n, 303 = -2*c + 3*n + 844. Is c a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 - -1. Let t = 3 + m. Let r be (-4 - 0)*(0 - (-19)\/(-38)). Which is the smallest value? (a) 2\/15 (b) 5 (c) r (d) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u + 3. Let m = 5 + -3. Let k be t(m). Let y = 0 + k. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7734777.\nAnswer: 3, 2578259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 65350, 2, -4, -430 in increasing order.\nAnswer: -430, -4, 2, 65350","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-4*(sqrt(3) - sqrt(30)\/sqrt(10))**2 + 4 + sqrt(18)\/sqrt(6)).\nAnswer: -16 - 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7991017387 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.4, -8391921, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6\/9613 - -5258275\/57678. Let z = 91 - v. Let f = -31 - -34. Which is the closest to 2? (a) -1\/3 (b) z (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 646, 645, 644, 643?\n\"Answer: -j + 647","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -3*p**2 - p + 2. Let v(l) = l**3 + 5*l**2 + 2*l - 6. Let x be v(-4). Calculate w(x).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28\/(-28)*0\/(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -86 + 81. Let y be (-2)\/(2\/3) - (-1 + 13). Is (y\/(-12))\/(o\/(-160)) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 24643413 and 5913.\nAnswer: 1971","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -102210001010010 (base 3) in base 15?\nAnswer: -839c3c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 40755824 to the power of 1\/2, to the nearest integer?\nAnswer: 6384","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -2*j**3 - 11*j**2 + 7*j + 6. Let z be k(-6). Let w be (-2)\/(-3) + (-22)\/15. Which is the closest to z? (a) w (b) -5 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 75960?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g + 2*u + 12, -5*g + 7*u = 2*u + 20. Is 701*g\/5*-1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 4, n: 5, u: 1, v: 1}. Give prob of picking 2 n.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -986 + 1010 = -3*l for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (7\/(-14))\/((-2)\/10). Let h = -0.45 - -0.05. Which is the nearest to 2\/3? (a) w (b) h (c) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 28 and 644?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 954.33 rounded to the nearest 10?\nAnswer: 950","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1001100 (base 2) in base 7?\nAnswer: -136","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 82 + 2 = 0. Let q be m\/12*12\/10. What is the first derivative of -q*t**4 + 4*t**4 - 2 + 2*t**4 wrt t?\nAnswer: 8*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*u**2 + 1 + 5*u - 4*u**2 + 0*u**2 + 6 to the form b*u + w*u**2 + q and give w.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8.13 * -1.287.\nAnswer: 10.46331","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 3, w: 4}. Give prob of picking 3 w.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1.2, -1\/5, 18, -22?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*o - 1301795 = 322402. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -2*p**2 + 5*p**2 - 4*p**2. Let a(l) = -48250 + 48250 - 6*l**2. What is r(a(h))?\nAnswer: -36*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 4*y**2 + 22*y - 22*y. Let l(b) = -10 + 6*b + 5*b + 21 - 6*b**2. Let f(n) = -2*n**2 + 4*n + 4. Let s(r) = 11*f(r) - 4*l(r). What is s(z(p))?\nAnswer: 32*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1075 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2100219?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 6*a. Suppose -12 = -5*f - 2. Let z(s) = s. Let u(c) = 6*c. Let y(q) = 4*u(q) - 22*z(q). What is f*x(j) - 7*y(j)?\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**2 - 5*c - 1. Let g be 33\/7 - 6\/(-21). Let t be k(g). Is (-24)\/(t + 2\/6) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -42 - 10. Let p be 10\/15*(-414)\/21. Let x = a - p. Sort x, 5\/3, 0.\nAnswer: 0, x, 5\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34492?\nAnswer: 2, 8623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30 - ((-31 - 7) + 39)) + 70?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 707.847 litres in millilitres?\nAnswer: 707847","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 152281192351 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15*(-27)\/(-945))\/(24\/(-392)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4923871 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -168, -169, -178, -201, -244?\n\"Answer: -q**3 + 2*q**2 - 169","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 7\/8, -4\/61, 1663?\nAnswer: 1663","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 - -8. Let t be (1 + (-11)\/5)*(-5)\/3. What is the second derivative of -p*x**t - 23*x + 43*x**2 - 24*x wrt x?\nAnswer: 74","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 100457171 - 0.7.\nAnswer: 100457170.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/((-11)\/4 - -2). Let x be -1 - (-4 - (1 + -2)). Let k = w + x. Which is smaller: -1 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 7*z**2 - 105*z - 210. Is 20 a factor of t(-25)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 747101, 747097, 747091, 747083, 747073, 747061, 747047?\nAnswer: 747031","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 67*y + 211. Give p(-4).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 325422 is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2)\/6)\/((-2)\/42). Suppose 4*n - 240 = 4*x, 3*n = 4*n + 4*x - 40. What is the highest common factor of n and p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 24\/(-40) + 33\/5. Let u be (-4)\/p - (-6)\/9. Suppose -w = -u*s - 2*s + 61, -4*s = 5*w - 143. Calculate the greatest common factor of 80 and s.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 0*r - 22 = -3*r, 3*j = -r + 10. Let f be -2*2\/j + -1. Let o be -1 + 1 + (-15)\/f. Put 0, -5, o in descending order.\nAnswer: o, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1781277367 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -10 - (5502\/(-1110) - 5). Is l greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + 12*a - 8*a + 14*k = -186, 0 = -4*a - k - 29 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 277047 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 10 - -23007?\nAnswer: 23017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uxuxxxuuxuxxxx. What is prob of sequence xxxu?\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18 + -14. Let r = 252 - 242. Suppose -d*a = t - 44, r*t - 284 = 5*t - 4*a. Is t a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = r + 90, t + 91 = -3*r - 129. Let f = -28 - r. Solve -3*p + f = 38 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k - 0*k - 5220. Let w be 2\/(-6) + (-528)\/k. Let o = 5\/29 + w. Which is the closest to 1\/4? (a) o (b) -0.5 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.34, 4, 12194, 0 in ascending order.\nAnswer: -0.34, 0, 4, 12194","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 2*r - 334, r - 823 = -37*j + 32*j. Calculate the remainder when 196 is divided by j.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 7 - 669?\nAnswer: -662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 at most 11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 + 12. Solve -2*i = -5*i + s for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27 + 2 = 5*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/5 of a gram in milligrams?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6699 + 6706. Solve 0 = -5*k + 6*m - f*m - 20, -2*m = 2*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -821 + 811.997. Let i = x - -7.84. What is i rounded to two decimal places?\nAnswer: -1.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -87a4 (base 12) in base 4?\nAnswer: -3221230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002937 to 5 decimal places.\nAnswer: -0.00294","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (5*(-2)\/(-2))\/1. Let i = -5.7 + 6.7. Let v = 3.5 - 4. Which is the second biggest value? (a) i (b) l (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/292 and 37\/938.\nAnswer: 136948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 156487 to the power of 1\/3, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 82247173?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 2*l - 2*i + 2, 0 = 3*l - 3*i + 3. Suppose 679*w - 675*w = 8. What is the second biggest value in 3, w, l, -3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**3 + 26*i**2 + 4*i - 103. Let d be c(26). Sort 5, d, 0 in ascending order.\nAnswer: 0, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12320 is divided by 122?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10222 - 0?\nAnswer: 10222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 2*g**3 + 28*g**2 - 40*g - 139. Let o be f(-15). Solve 3*p - 7*b + 15 = -4*b, p = 4*b - o for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.35 + 0.3. Let m = 163 + -163.35. Let n = w + m. Which is the biggest value? (a) 3 (b) -2 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 157461999?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes after 7:59 PM?\nAnswer: 6:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 63\/2 - (-1)\/2. Let z = h - 19. List the prime factors of z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -35\/321 and 26\/27?\nAnswer: 2889","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*p - 9*p - 2*p**4 + (-2*p**3 + 5*p**2 - 5*p**2)*(p - p - 3*p).\nAnswer: 4*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6347023740?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5971928*m + 5934864?\nAnswer: -5971928","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 81997 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64 is divided by 10.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1939 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: Simplify (o**(-2\/7))**(-1\/18)\/(o*((o\/((o\/o**(-13))\/o))\/o)\/o*o*o**(-14)) assuming o is positive.\nAnswer: o**(1639\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -4*s - 2*n, -4*s - 5*n - 8 = -1. Solve -2*t - 3 = z + s, -2*z + 20 = -2*t for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**3 + 2*l**2 + 20*l - 3. Let d be p(-9). Let g = d + 797. Calculate the remainder when 155 is divided by g.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/(-168)*5*51\/(-17)?\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**4 - 9*q**3 + 11*q**2 - 4.\nAnswer: (q - 2)**2*(q - 1)*(2*q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 35\/(-4)*10\/(-105)\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 888 (base 10) to base 16\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3215, 2994, 2627, 2114, 1455?\nAnswer: 650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -49 (base 12) to base 11.\nAnswer: -52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 47739 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g**2 - 4375*g - 1740420 = 0.\nAnswer: -297, 1172","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -109\/10 and (5 - (-4 - -4)) + 2074\/(-360).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h - 0*h - 70. Solve 0*n = -2*n + 4*b - 4, -5*n + h = 2*b for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13, -10, -43, -92, -163, -262?\nAnswer: -395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -87*f**3 + 4*f**2 + 48*f + 85. What is z(-2)?\nAnswer: 701","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 5 = 2*g + 11, -2*g + c + 9 = 0. Let z(w) = 2*w - 2*w - g + 0 - w. Determine z(7).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 8) in base 16?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -2*z**2 + 108*z + 120. What is the hundreds digit of o(47)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 333 = -r, 3*r - 934 = -o - 0*o. Suppose 0 = 5*f - w - 303, 5*f - r = 3*w - 7*w. Let l = f + -50. Is l even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1360 is divided by 1356?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 48506368 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4904, 9779, 14654?\nAnswer: 19529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 1\/10 of a tonne?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a - b - 249, -63 = -2*a + 2*b + 35. Let g(w) = 2*w - 6. Let y be g(4). Let r = 7 - y. What is the highest common divisor of a and r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 238, 236, 232, 226?\n\"Answer: -k**2 + k + 238","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.19 + -8.19. Let c = v - -10. Let f = 2.000124 - c. Round f to 5 decimal places.\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bd when two letters picked without replacement from pbppbbbpddb?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -297725763 - -115.\nAnswer: -297725648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 131010.\nAnswer: 2, 3, 5, 11, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 96554?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jmmjpymmjjjmmmjmmmm. What is prob of sequence jp?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g + 5*y - 47918, 2*y = -g + 15634 + 337. Suppose 0 = 2*p + 2*t - 10638, -3*p + 4*t = t - g. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**2\/6 + 53755808*s\/3 + 1444843446866432\/3.\nAnswer: (s + 53755808)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 - 133 - (-10 - ((-2 - 2) + 2))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 52033042 + -0.3562.\nAnswer: 52033041.6438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -18.099522 - -18.1. What is f rounded to 4 decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 48.\nAnswer: -1\/48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14729951*i**3 + 17938473*i.\nAnswer: 88379706*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -645, -410, -175?\n\"Answer: 235*t - 880","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -3315.5691 times -5\nAnswer: 16577.8455","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 348624800 a multiple of 80?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -373c95 (base 14) to base 7\nAnswer: -22043145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -135.96 + 136. Let d(y) = -y**2 + 2*y + 1. Let o be d(3). Which is the nearest to 1? (a) o (b) -1 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 58584 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17981, 17982, 17983, 17984?\nAnswer: 17985","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 13378 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -2 - (-2 - 4 - -5)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**3 - 13*i**2 - 11*i - 27. Let x be z(14). Calculate the greatest common divisor of x and 105.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 416399 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 37619.\nAnswer: 37619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (178\/(-6))\/(196\/1764). Which is greater: 0.09 or r?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1044976664?\nAnswer: 2, 23, 5679221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2474 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: What is the value of (0 - 2) + 34 + -40?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 26752b (base 15) to base 6\nAnswer: 103332135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5251 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l = 4*n - 13, -515*l + n - 7 = -516*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 18\/5 of a tonne?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 6422 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -51*b - 5571. Let a be s(-127). Solve -a*w - 15 = -909*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1b (base 13) to base 5\nAnswer: -44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 960 is divided by 314?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**2 + 28*x + 163. What is p(-14)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1009754111 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pplhddlhpuuhrhl. What is prob of picking 1 d, 1 l, and 1 r?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -28*z + 56. Let u be v(2). Suppose 2*a - 2*x - 700 = u, -x - 383 = -2*a + 314. Calculate the remainder when a is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-3)\/6)\/((-2)\/(-4)). Let h(c) be the first derivative of 2*c**3\/3 - c**2\/2 + 1. Let p be h(k). Solve -2*l - 4 = 0, 5*l = -i - p*i - 26 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94 is divided by 17?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -3*g**3 - 16*g**2 + 30*g + 143. Let u be b(-4). Let t be (2\/(-4))\/((-2)\/(-132)). Let d = -73 - t. Does u = d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -4*s**2 + 555*s + 8073. What is k(150)?\nAnswer: 1323","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.154287 to three decimal places.\nAnswer: -7.154","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -49.2 + 48.2. What is the nearest to n in -0.5, -1\/37, 4\/5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 18\/3*(-1)\/(-2). Suppose -3*l - n*z = -15, 0 = 3*l - l - z - 7. Suppose 0 = i + 2*d + 6, -d = -3*i + l*d + 37. List the prime factors of i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1484*s - 7403 + 7408 - 2709*s.\nAnswer: -4193*s + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.6 - 0.3. Let v = 3726.97 + -3727. Sort v, 4, o in increasing order.\nAnswer: o, v, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.7 + -3. Let h = 2.73 - 0.73. Which is the closest to -0.1? (a) 3 (b) h (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -3*i + 16, 2*w + 20 = 7*w + 5*i. What is the third derivative of -2*o**2 - w*o**6 + 5*o**6 - 4*o + 4*o wrt o?\nAnswer: 120*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -268 + 24a8983?\nAnswer: 24a8716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the first derivative of d**8\/840 - d**6\/150 + d**4\/60 + 3*d**2\/2 - 2. Let t(p) be the second derivative of f(p). Factor t(q).\nAnswer: 2*q*(q - 1)**2*(q + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5716 is divided by 2851?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 10768, 85811, 289496, 686143, 1340072, 2315603, 3677056?\n\"Answer: 10720*l**3 + l**2 + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 58831 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the first derivative of -86 + 0*q - 40\/3*q**3 + 0*q**2 + 0*q**4 + 78\/5*q**5. What is the third derivative of l(g) wrt g?\nAnswer: 1872*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.3 + -38.3. Let z = -39.14 - v. What is z rounded to one dp?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 96947\/32 - 3029. Calculate the common denominator of (-796)\/(-2288) - 116\/(-319) and y.\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -4*x + 4*s + 10, 2*x + 10 = 4*s. Solve -13*a + 9*a - 3*n + x = 0, -4*n - 4 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49891459.\nAnswer: 577, 86467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the third derivative of -v**6\/60 + v**4\/24 + 2*v**2. What is the units digit of h(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -273 = -55*h + 2. What is the closest to -115 in h, -3\/5, 1\/6?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -28 - -27.6. What is the nearest to 2 in i, -2, -3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 4) to base 10.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1826926950 to the power of 1\/4, to the nearest integer?\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 5*s + 243, 5*c = -2*s + 10 + 335. Let n = -63 + c. Suppose n*z + 3*z = 721. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 0.03 (b) -2 (c) 9.36\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(2736) + -1) + 1 + (sqrt(1216) - sqrt(1216)*-1)**2*3 + 2.\nAnswer: -72*sqrt(19) + 14601","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1244\/(-3110)*40\/(-1).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 416921 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 68, -1, -2 in descending order.\nAnswer: 68, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d - 12 = -j, -18*j = -14*j + 3*d + 3 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -1881.458245 to 2 decimal places.\nAnswer: -1881.46","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 6*n**3 + 49*n**2 - 5. Let x(k) = -7*k**3 - 50*k**2 + 6. Calculate 5*j(v) + 4*x(v).\nAnswer: 2*v**3 + 45*v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**3 - 4*y**2 + 4. Let u be m(-4). Suppose -w = u*w - 525. Is 21 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**3 - 9*t**2 + 68*t - 31. Calculate k(-14).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 3*o - 239 = 0, -3*d = -5*o - 397 + 225. Solve 56*t - 27 = d*t for t.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5502?\nAnswer: 2, 3, 7, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 32*m**3 - 30*m**2 - 11*m + 198. Let u(r) = 6*r**3 - 6*r**2 - 2*r + 39. What is -2*i(q) + 11*u(q)?\nAnswer: 2*q**3 - 6*q**2 + 33","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**2 + 3*t - 7. Let p be g(-5). Let a(n) = -n**3 + 2*n**2 + n. Calculate a(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-9) + 5\/15\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**2 + 16*c - 9. Let q be j(6). Suppose 9*g - 422 = -80. Suppose v = -2, p = 3*v + g + 2. Calculate the highest common divisor of p and q.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4665 and 6589395.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-22)\/(-6) - (-2)\/(-3). Let j be 5\/(10\/(-4) + 2). Let g be (8 + 0)\/(j\/(-5)). Solve -g*v - 23 = r*q + 3, -4*v + 5*q = 10 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -9*k**3 + k**2 + 2. Let p(g) = 17*g**3 - 2*g**2 - 3. Let i(a) = -5*n(a) - 3*p(a). Give i(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 386285 is divided by 32179.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -28 + 53. Let y = f - -9. Let d = -34.00022 + y. Round d to 4 dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 6*k = -5*k - 13, -4*a + 10 = -2*k. Suppose 5*m + 4*r = 12 + 2, -a = -m - r. Suppose -3*s - 3*d = -360, 2*d = -s - m*d + 105. Does 10 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -14*v - 350. Let k be h(-37). What is the derivative of -14*q**2 - q - k + 3*q**2 - 14*q**2 + 0*q**2 + 5*q**2 wrt q?\nAnswer: -40*q - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -95415 + 95414.9948317. Round r to three dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6773000 to the nearest 100000.\nAnswer: -6800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -58*n - 3. Let k be y(-1). Let u be (-4)\/(-10) + 88\/k. Let x(m) = 3*m**2 + 7*m + 6. Let v be x(-4). Solve -2*p - 4 = -u*o, -o = 3*p + 4*o - v for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5682 divided by -2.\nAnswer: -2841","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/98 and 17\/15610.\nAnswer: 109270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 811490 to the nearest 100000.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 151 - 151 + 10*x**3 - 53398*x**2 + 53398*x**2.\nAnswer: 10*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -54 divided by -359?\nAnswer: 54\/359","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 72702 and 434?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.15 - 0.1. Let b = 27 + -33. Let x be b\/8*((-12)\/18 + 1). Is x greater than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 2 = r. Let u be 5 + (3 + 0)\/(-3). Let g = r - u. Sort 5, g, 3 in descending order.\nAnswer: 5, 3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 705024 and 5984.\nAnswer: 544","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*i**5 - 4 + 4 + (0*i + 2*i - 3*i)*(-4 + 4 - i**4) + 58 - 8*i**5 - 58.\nAnswer: -10*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**2 - 36*c - 285. Let h be u(-12). Suppose 5*x = 4*g + 38, x + 5*g + 3 = -1. Sort h, x, 0.2 in decreasing order.\nAnswer: x, h, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**2 - 4*j + 5. Let d be w(-5). Let c = 1 + d. Let y = -7 + 11. Sort y, -5, c in increasing order.\nAnswer: -5, c, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 5, f: 1, e: 3, q: 6}. Give prob of sequence qf.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*w + 5 = 5*v - 30*w, -6*v - 4*w = -14 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 694 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 222 is divided by 38?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5459?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10 - -44. Suppose 4*c - u = -5*l, 21 = 3*c - 5*l - 2. What is the second derivative of -c*d + 13*d**2 + 4*d**2 + 4*d**2 - 4*d**2 wrt d?\nAnswer: 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52433979?\nAnswer: 3, 13, 1344461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 3*g - 70. Suppose -2*w = 4*f - 20, -2*w - g = -4*w - 5*f. What is the highest common factor of 1 and w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (48\/40)\/((-4)\/(-5))\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**(-1)\/b)\/(b\/b**(-5)*b))**(3\/40))**(-18) assuming b is positive.\nAnswer: b**(243\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06989828 rounded to four dps?\nAnswer: -0.0699","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.24 - -4.602.\nAnswer: 4.842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z*z**(-1)*z**(2\/33) assuming z is positive.\nAnswer: z**(2\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*y = -39 - 217 - 419 for y.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -6*r**3 - r**2 - r - 1. Let w be j(-1). Suppose -9 = 2*i - i + 2*z, i + w*z - 3 = 0. Let b = i + 87. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-252)\/(-117) + -2 - 10\/4030*23.\nAnswer: 3\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.5 and 241.1?\nAnswer: 241.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 163 - 31. List the prime factors of m.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(sqrt(119) + 2*sqrt(119)))\/(sqrt(84)\/sqrt(432)))**2.\nAnswer: 88128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*a + 396 = -39*a. Let z = 691\/7 - a. Sort z, 2\/13, -3, -2\/9 in decreasing order.\nAnswer: 2\/13, -2\/9, z, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (13*54\/(-468))\/(6\/14)*-10?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 214062776 to the nearest integer?\nAnswer: 14631","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -f**3\/2 + 291*f**2 + 13873*f\/2 + 12705 = 0. What is f?\nAnswer: -21, -2, 605","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1782690387?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes before 4:21 AM?\nAnswer: 8:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5677 = -65*r + 11190 + 7812. Solve -r*v = -207*v + 14 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -434473912\/4303 + 100970. Let z = -314113\/12909 + u. Find the common denominator of 25\/19 and z.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10? (a) 53 (b) 0.2 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4091310 divided by 81.\nAnswer: -50510","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 751582?\nAnswer: 2, 13, 137, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5028371 years in centuries?\nAnswer: 0.005028371","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gvj when three letters picked without replacement from vvgvvgvvgjvgg?\nAnswer: 35\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 904306099 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 - (-933)\/21 - 186\/434. Solve 33*y - 55 = k*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s - 217*i - 22 = -215*i - 4, -10*s - 49*i - 60 = -51*i for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/310 and 17\/104.\nAnswer: 16120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 117033895 to the nearest ten thousand.\nAnswer: 117030000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from riiiiiiiiiiiiwi. What is prob of picking 1 w and 3 i?\nAnswer: 22\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:09 AM and 8:56 PM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gzzgzggzzgzgzzggzggn. What is prob of sequence gz?\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1237 is divided by 276?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18818*t + 2*t**3 - 18818*t.\nAnswer: 2*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4 and 239?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -46*b**3 - 3*b**2 + 2*b - 1. What is m(1)?\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 221083251?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 + -2. Let m = 1.1 - z. Which is the nearest to m? (a) 2\/3 (b) -1 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*k + 3*k - 474427*k**2 + 3*k.\nAnswer: -474427*k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1107\/(-14760))\/(2\/10). Which is the closest to 6? (a) n (b) -0.4 (c) 7 (d) 11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 144 + -5?\nAnswer: 13a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 47 + -143\/3. Sort 5, j, -12 in descending order.\nAnswer: 5, j, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 16 = -4*s, -22*l - 67 = -25*l - 4*s - 63 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes before 4:47 AM?\nAnswer: 1:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -6*m**3 + 5*m**2 - m + 7. Let w be s(-8). Let l = w - 37436\/11. Find the common denominator of -29\/6 and l.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -700, -1401, -2116, -2851, -3612, -4405?\n\"Answer: -f**3 - f**2 - 691*f - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 2*h - 18. Let j be i(15). Let a be ((-30)\/(-4))\/(6\/j). Calculate the smallest common multiple of 153\/a + (-12)\/(-15) and 4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the first derivative of 2*j**3\/3 - 3*j**2 + 2*j + 101. Let d = 11 + -7. What is the smallest common multiple of n(d) and 5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 11 - 4)*(-194*m - 703*m - 896*m + 91*m - 7*m + 1).\nAnswer: 18799*m - 11","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 2*f**2 - f - 2. Let g(w) be the first derivative of -w**3\/3 + w**2\/2 + 2*w + 199. What is -2*c(b) - 3*g(b)?\nAnswer: -b**2 - b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 11011011 (base 2) in base 4?\nAnswer: 3123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nsns when four letters picked without replacement from sssssnsnsnss.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -513*1 + 0 + -1. Is (n\/(-6) - 2)\/((-1)\/(-3)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -6*m. Let g be (-1)\/7*-2 - (-12024)\/252. Let o = g - 19. Let p(h) = -63 + o + 34 + h. What is p(y(c))?\nAnswer: -6*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + 2*m + 5 = 0, 3*y + 4*y + 7*y = 9*y + m - 1 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 - -1 - 1 - -56. What are the prime factors of 5\/((-20)\/(-8)) + d?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s**(13\/5)*s)\/(s\/(s\/s**(-1\/3)*s)*s*s)*s*s**13\/s*s*s**(7\/5)\/s)**(8\/3))**(5\/11) assuming s is positive.\nAnswer: s**(200\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g**2\/4 - 93*g\/4 - 45\/2 = 0. Calculate g.\nAnswer: -30, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 837 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/2*(8\/14)\/1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 427 and 17551225.\nAnswer: 122858575","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -136 + 8297\/61. Suppose 0 = a + 3*o - 3, -5*a + o + 0*o = -31. Let h be 1 + -8 + a\/1. Is m less than or equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-10985)\/(-13)*2\/10 is divided by 11?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2865109 is divided by 1432435.\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxvv when four letters picked without replacement from xxjehxxexvjxexvxexeh.\nAnswer: 2\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**3 - p**2 - 4*p - 1. Suppose 58*u - 59*u = 0. Let d(f) = -f**3 - 7*f**2 - 6*f + 4. Let r be d(-6). Suppose r*b - 12 = -u. Give l(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 143 = 4*w, 0 = -2*n - 0*w - 5*w + 44. Does 15 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a microgram in nanograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 182704 is divided by 60897?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 303440352?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2\/13, 3\/8, 1\/710, -1\/11?\nAnswer: 1\/710","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 56 + -52. Suppose -v + 4*z = -b*v + 11, -2*z + 3 = v. Suppose 0*w + 5*w + v*d = 5, -7 = -w + d. Solve 4 = 4*f - 2*q - 6, 3*f + 9 = -w*q for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*w - 13*w = -160 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1480470511.\nAnswer: 13, 107, 1064321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = t - 1. Suppose -4*x + x + t*z + 54 = 0, 0 = -x - 4*z - 2. What is the greatest common factor of 28 and x?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 5853948?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 + -5.4. Let r(o) = -11*o**2 + 143*o - 439. Let n be r(5). What is the third biggest value in -0.5, l, n?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-33)\/22)\/((-6)\/116). Let f = z + -26. Solve -3*i + 3*d = -18, f*i - 2*d = -d + 14 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**3\/4 + 3*t**2\/2 - 6*t - 16.\nAnswer: (t - 4)*(t + 2)*(t + 8)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1012 and 836.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*5*(sqrt(245) + (sqrt(245)*1*5 - sqrt(245)) - ((-1 + sqrt(245))*-6 + sqrt(245)))*6)**2.\nAnswer: -12096000*sqrt(5) + 353318400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hyhiyyk. Give prob of picking 1 i and 2 y.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75*q + 807 = -618. Let z = -721 - -736. Solve 24*u + z = q*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1001482?\nAnswer: 2, 500741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -4589406, -9178823, -13768254, -18357705, -22947182?\n\"Answer: -n**3 - n**2 - 4589407*n + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**4\/11 - 24*p**3\/11.\nAnswer: 2*p**3*(p - 12)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 31\/2 of a decade?\nAnswer: 1860","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f**2 - 60 + 0*f**2 - 3*f**2 + f**2 + 64*f = 0 for f.\nAnswer: 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -37.444403 to 2 dps.\nAnswer: -37.44","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 36) + (3167 - 3173)\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -6*q**3 + 21*q**2 + q + 7. Determine f(4).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 57235 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**2 + 3*v - 6. Let l be b(2). Let d be l\/2*1 - 787002. Round d to the nearest ten thousand.\nAnswer: -790000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(63) + 4)**2 + (sqrt(175) + 0 - sqrt(7))**2.\nAnswer: 24*sqrt(7) + 191","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 4326?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0525 - -9?\nAnswer: 8.9475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/876 and 19\/48.\nAnswer: 3504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2827711?\nAnswer: 617, 4583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (16\/88 - (-766)\/22) + -1. Suppose 7*s = -w - 8. Let t(k) = 6*k**2 + 3*k - 8. Does 24 divide t(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 12*i**2 - 4*i - 6. Let o be m(-4). Suppose 0 = h - 2 - 3. Suppose h*t - 68 = o. Is t a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of p*r**2*y**3 + 25*p*r**2 + 13799*p*r*y**3 - 6*p*y**2 - 7*r**2 wrt y?\nAnswer: 6*p*r**2 + 82794*p*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**2 + 3*g + 3. Let u be x(-5). Suppose 6 + 7 = u*c. Solve c = -q, -4*i - 2*q - 3 + 17 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a = 10*q + 131 + 29, 3*a + 10*q = 11*q + 16 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and -288?\nAnswer: 28.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -6763.6 rounded to the nearest one hundred?\nAnswer: -6800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 7 = -4*p - 4, -p = 4*j + 7. Let w be 3\/(-1) - 81\/(-30). Let z = w + 11\/70. What is the closest to j in 2, z, 0?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 115660 and 160?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 + 2)*(-5*d + 0 + 0)*(-3 - 2 + 3)*(2*d + 2*d - 2*d)*(-3 + 0 + 4)*(-2*d + 2*d - 2*d).\nAnswer: -120*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1 and 61?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -8*r + 16. Suppose -p = r*z - 104, 3*p = -5*z + 5*p + 143. Is 9 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = 4*i - 116724, -58354 = -2*l + 271*i - 272*i. What are the prime factors of l?\nAnswer: 29173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -468 - 3a8301?\nAnswer: -3a8769","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((3 + sqrt(704)*-5)**2 - (sqrt(3300) + (3*sqrt(3300) + sqrt(3300) - sqrt(3300)))\/sqrt(3)).\nAnswer: -17609 + 280*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r**4\/5 - 167782*r**3\/5 - 603924*r**2 - 16103936*r\/5 - 5367872 = 0. What is r?\nAnswer: -83873, -10, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3343978?\nAnswer: 2, 11, 97, 1567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 3*y - l + 850 = 0, 0 = -3*l + 6. Suppose -4*i + v - 5*v = -y, 106 = 2*i + 4*v. Is i a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**4 - 2470*o**3 + 9848*o**2.\nAnswer: 2*o**2*(o - 1231)*(o - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -320*s**5 + 55760*s**4 - 124380*s**3 + 93015*s**2 - 23220*s = 0 for s.\nAnswer: 0, 3\/4, 172","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 8 - (2 + -1 - -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 24776 and 5472?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -364, 148, -4 in decreasing order.\nAnswer: 148, 5, -4, -364","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0, 2, -3, 7, -0.01?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**3 + 4*l**2 - l - 1. Let t(x) = 2*x - 9. Let c be t(6). Suppose 0 = 2*o - c*o + 4. Suppose -o*z = -4*s + 3 - 7, z = -s + 5. Give p(z).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -3*s**2 - 15*s - 10. Let d(b) = b**2 + 5*b + 3. Let q(i) = 8*d(i) + 3*u(i). Let t be 2505\/(-90) - (-1)\/(-6). Let y = 23 + t. Calculate q(y).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 0.2, 6\/11, -3, 378, -278, 2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 801667833 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11533 - 11268. What is the highest common factor of q and 689?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**(1\/11))**2 assuming x is positive.\nAnswer: x**(20\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -6 (b) -3\/5 (c) 0.3 (d) -0.25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 187\/120 and -21\/80?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**2 - 5*o + 10. Calculate the least common multiple of 2 and r(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*j**2 - 2*j**2 + j**2)*(0*j - 4*j + j)*(-7 - 2 - 2) to b + t*j**3 + q*j**2 + l*j and give t.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 456 and 120?\nAnswer: 2280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -119\/260370 and -43\/4728.\nAnswer: 205171560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 331 is divided by 37?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 43.03 - 43. Let j = p - -4.57. Let k = -4.60000136 + j. Round k to 7 decimal places.\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -1453*c**3 + c**2 - 5*c. Let s be m(4). Let z be 3 - (s - (2 - 1)). What is z rounded to the nearest ten thousand?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 66.803 - 53.803. Let g = 4 - 0. Which is smaller: k or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2.4279 and 5504.6?\nAnswer: 5502.1721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8\/(-10)*(-550)\/4. Suppose -2*n + 0*n + l = z, -5*n = z - 275. Does 30 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f + 10*f + 2*f)*(0 + 1 - 3)*(-2 - 2 + 1).\nAnswer: 60*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 139131849?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 379365673 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -5*a**3 - 11*a**2 - 18*a + 3. Let s(m) = -3*m**3 - 6*m**2 - 9*m + 2. Let k(x) = -4*c(x) + 7*s(x). Calculate the remainder when k(4) is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.11 and 96.099 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/27 - 179302\/(-19944). Let w = -68\/39 + 18641\/10803. Let p = w + g. What is the common denominator of p and -1\/22?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42630943 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**3 - 9*d**2 - 3*d + 27. Let f be i(9). Let y be (5 + -3 + 1)*(-12)\/(-18). Factor -1\/6*q**y + 1\/6 + f*q.\nAnswer: -(q - 1)*(q + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y - 5. Let a be p(-5). Let u be (-4)\/(-10)*(-2)\/a. What is the nearest to -1\/4 in 3, u, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = -6*t + 9*t. Calculate the highest common divisor of 36 and t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 - (-206)\/(-7))\/((-12)\/(-28)). Let l = -68 - f. Suppose 2\/3*s + 0 - l*s**2 = 0. What is s?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vouu when four letters picked without replacement from {o: 4, v: 3, u: 7}?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (71*s - 74*s - 232*s)*(3 - 2 + 1)*(1 - 2 + 0)*(3*s - 6*s + s) in the form x*s**2 + u*s + p and give x.\nAnswer: -940","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 46 - 31. Suppose -2*a = -2*k + 46, -5*a + 4*k - 76 - 35 = 0. Let q = 9 - a. What is the remainder when q is divided by x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:03 AM and 9:15 AM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*sqrt(1300)*-2 + sqrt(1300))*-3 - (-2*sqrt(1300)*-2 + -5 + (sqrt(1300) - 2*sqrt(1300))))**2.\nAnswer: 3000*sqrt(13) + 1170025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-3)*3*3\/45.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -w - 0*w - 130, 6 = -2*v. Let z = -120 - w. Let u = 107 - 112. What is the biggest value in -13, u, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20)\/450*-45*-12?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1772 - 781. Suppose -8*a - i + 3183 = 0. Is a a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*s - 17*s + 34*s + 82*s**3.\nAnswer: 82*s**3 - 3*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 + -1098431a?\nAnswer: -1098431b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 28, -107, -61, -2 in descending order.\nAnswer: 28, -1, -2, -61, -107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*s = -38 - 97 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**3 + 3*m + 2. Let r be q(-2). Solve -8 = r*o, 6 = 3*y - 3*o - 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/4 - (-55)\/20. Suppose 18 = o*t - 6. Let i(q) = 5*q**2 - 86*q + 19. Let f be i(17). Solve -b - t = 4*a + 3*b, 3*b + 1 = -f*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1074, 2145, 3216?\n\"Answer: 1071*k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 938708.8g to milligrams.\nAnswer: 938708800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u - 18. Determine x(7).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-52)\/(-6) - 1) + 4\/(-6). Let j(i) = 3*i**2 - 4. Let s(l) = 6*l**2 - 7. Let r(w) = f*j(w) - 4*s(w). Let m(p) = -4*p. Calculate r(m(u)).\nAnswer: -48*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 4)*(6*f**2 + 4*f**2 - 4*f**2 + (-2 + 2 + 2*f)*(-5 - 2*f + 5) + 0*f + f**2 + 0*f).\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -516 by -4.\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -2.26 * 0.89\nAnswer: -2.0114","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1398.51 rounded to the nearest ten?\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**3 - 9*c**2 - 8*c - 18. Let y be h(10). Suppose 3 = 3*x - y*x - 3*b, -41 = -3*x + b. Suppose -m + i + 8 = -4*i, 3*m - 2*i = -x. Is m < -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(117) + -1 + 3 - (-3 + sqrt(117) + 0))**2*-1 + 5 + 0.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8542717 is divided by 114.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 589, 4, -79, -3, 0.\nAnswer: -79, -3, 0, 4, 589","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g - 24 = -g. Suppose w + 4 - 19 = 0. Suppose 2*i - s = -w, 2*i + 20 = -s + g*s. Which is smaller: -4 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 462 and 609070?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -13*u**2. Let g(a) = -a**2 + 3*a + 3. Let y be g(0). Let r(m) = -y + 3 + m. Give t(r(l)).\nAnswer: -13*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -63 - -168. Let b be (-3 + t\/(-10))*2\/(-3). Suppose b*v = 21*v - 576. Does 24 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*v**3 + 0*v**3 - 2*v**3 + (-28*v**2 - 72*v**2 - 247*v**2)*(-v + v - v).\nAnswer: 350*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27, 70, 149, 282, 487, 782?\nAnswer: 1185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 2*q**3 - 9*q**2 - 10*q + 31. Determine b(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -30584 divided by -2002?\nAnswer: 15292\/1001","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1207997\/25190 - -1\/1145. Suppose -5*m + 8 = 248. Let r = c - m. Find the common denominator of r and -81\/14.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a microgram in nanograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 - -3018199389.\nAnswer: 3018199403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 68 - 270 + 67 + 76 + 5*q + 71. Calculate m(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0343683724 to 6 dps.\nAnswer: 0.034368","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the third derivative of j**4\/8 - 13*j**3\/3 + 181*j**2. What is z(11)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-15)\/1750 + (-50)\/(-625))\/((-2)\/12). Let n be 6\/10 + 379\/60. Let z = n + -21\/4. Which is the closest to 2\/3? (a) f (b) z (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1876 divide 1832280032?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3970, 7948, 11926, 15904, 19882, 23860?\nAnswer: 27838","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 18 in -72, -3, 2\/7, 0.14, 0.1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76*f - 49 = -69*f for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m = 4*v - 83 + 14, -5*m + 71 = -2*m + 4*v for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/2 of a millimeter in micrometers?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 332655.3 and -0.4.\nAnswer: -133062.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 693895*k**2*v**3 - k**2*v - 17790*k**2 - 62*k*v**5 - 13*k*v + k - 5*v - 4 wrt v?\nAnswer: 4163370*k**2*v - 1240*k*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2470)\/(1064\/56) - -68?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 32553*g + 70. What is u(0)?\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 11) in base 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2116606367?\nAnswer: 281, 7532407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/3, 0, 5301, 4 in ascending order.\nAnswer: -4\/3, 0, 4, 5301","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 37 = -4*y + 8*y, -s = -4*y + 17. What is the closest to 0 in 1.1, 1, y?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 587364, 587371, 587382, 587397, 587416, 587439, 587466?\nAnswer: 587497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f + 2*y - 3 - 0, 5*f + 5 = 2*y. Is 211\/4 + f\/(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -812 + 196 = -154*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -24 - -37. Suppose 0 = 2*w - 4*w + 48. Calculate the remainder when w is divided by o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-8368)\/(-44) - 4\/22. Let r = -371\/2 + i. Suppose r*a**2 + 3\/2*a**3 - 3\/2*a**4 - 3 - 3\/2*a = 0. What is a?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the second derivative of -3*j + 1\/30*j**6 + 0*j**2 + 0 + 0*j**4 + 1\/6*j**3 + 0*j**5. Find the second derivative of q(t) wrt t.\nAnswer: 12*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the second derivative of 7*t**4\/12 - 3*t**2 + 9*t. List the prime factors of z(3).\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 19*h. Let i(n) = -2282*n**2. Determine f(i(q)).\nAnswer: -43358*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a kilogram in grams?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 4*l = -6. Let p = -332.1 + 332. Which is the fourth biggest value? (a) p (b) 4\/5 (c) l (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (0 + 3 + -2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*q + 5*w - 8, -q + 11 = 5*w - 12 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -149 + g**3 + 61*g - 23*g**2 + 116 - 9*g**2. Let b be i(30). Let a(f) = 2*f**2 + 3*f - 2. What is a(b)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 17 + 25 = 2*z, -2*z + 5*s = 37. Let u(g) = -2*g**2 - 12*g + 3. Determine u(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*a**3 - a**3 + 4*a**3.\nAnswer: 5*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 38 + -2. Let u be 11*(112\/j - 3). Let p = u + -701\/36. What is the common denominator of p and 89\/22?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*g**3*v + 10*g**3 - 16*g**2*v - 3*g**2 + 113*g*v - 7*g wrt g.\nAnswer: 12*g*v + 60*g - 32*v - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the third derivative of 0*u - 2*u**2 + 1\/24*u**4 + 2\/3*u**3 + 40625\/3*u**5 + 0. Let f be b(-4). What is f rounded to the nearest one million?\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -14230*h + 5256*h + 8188*h + 10152*h in the form p*h + o and give p.\nAnswer: 9366","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3342 is divided by 3286?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 + 2. Let q = 6.55 - 14.475. Let v = h + q. Round v to 2 decimal places.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 9, 1\/3, -3\/2, -2\/41?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -30 + 26. Let m be j\/(-14) - 32\/14. Let x be (1\/m)\/((-3)\/42). What is the greatest common divisor of x and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:05 AM and 6:02 PM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -50*11\/(-110) + -15?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 68*s**2*t**6 + 1670*s**2*t + 2*s**2 + 130*s*t**2 + 26890*t**5 - 25*t**2 + 2*t wrt t?\nAnswer: 8160*s**2*t**3 + 1613400*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes before 8:30 PM?\nAnswer: 4:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7211*c**3*o + 614*c - 8*o wrt c?\nAnswer: 43266*c*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 347992?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*f + 0 - f - 2*f + 4*f + (-2*f + 0*f + f)*(2 - 4 + 0))*(-103*f + 71*f + 85*f).\nAnswer: 265*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 2*b**5\/15 - 4*b**4\/5 + 4*b**3\/3 - 22*b\/15 + 4\/5 = 0?\nAnswer: -1, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**2 - 6*p + 1. Let j be t(8). Suppose 37 = g + 5*u, -g + u - 2*u = -j. What are the prime factors of g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 120 divided by 20\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*c**3 + c**3 - 2*c**2 + 5 - 4 + (-890*c**2 + 1222*c**2 + 1687*c**2)*(2 - 2 - 3*c) in the form l + h*c**3 + p*c + w*c**2 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -8 divided by 147\nAnswer: -8\/147","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does -921 = -925?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (40\/1500)\/(5\/87) and 51\/20.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dkqz when four letters picked without replacement from {d: 2, k: 1, q: 1, w: 1, x: 1, z: 1}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3814 is divided by 36.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-1)\/(-2))\/(8\/(-208)). Which is bigger: p or -15?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 4*n - 10. Let w(o) = -11*o + 147. Let c be w(13). Calculate i(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((6\/63)\/(1\/7))\/2*24\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-645)\/(-20) + ((-3)\/(-4))\/(-3). Let w = -22 + h. Does 10 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 31\/6 of a hour?\nAnswer: 18600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**3 - 17*k**2 + 15*k + 79. Calculate the remainder when 999 is divided by m(16).\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 785.8171ng to milligrams.\nAnswer: 0.0007858171","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4966070829.\nAnswer: 3, 23, 71972041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 100\/26 - (-6)\/39. Suppose -19 - 4 = -h + 5*p, 2*h + p - 2 = 0. Find the common denominator of 213\/x*h\/(-9) and -40\/7.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -32\/15 and -13\/5.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 2*h**2 + 4. Let d(r) = -6*r. What is w(d(p))?\nAnswer: 72*p**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 13, t: 3}. Give prob of sequence tj.\nAnswer: 13\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 739038.2 litres to millilitres.\nAnswer: 739038200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -80, 33, -0.08, -5, -1.96?\nAnswer: -80","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86 - -5 - (0 + -5 + 2) is divided by 10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 10) to base 12.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 138657 is divided by 233?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*r - 5*r**3 + 6*r**2 - 5*r**2 + 2*r**2 to the form c + w*r**3 + p*r**2 + m*r and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -170548 (base 9) to base 11\nAnswer: -72231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/((-8)\/(-64))*(-21)\/(-24)*(-152)\/133532.\nAnswer: 2\/251","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*d = 4*d + 7. Suppose -5*u = 3*x + d, 5*x - 4*u - 14 = 3*x. Suppose -4*q + 123 + 324 = -f, 451 = 4*q + x*f. Does 11 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-19\/4)*m*m\/(m**(-7)\/m) assuming m is positive.\nAnswer: m**(21\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3720.\nAnswer: 2, 3, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -160 + 144. What is the third smallest value in 0.1, j, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*h**2\/7 - 620*h\/7 - 618\/7 = 0. What is h?\nAnswer: -309, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 21 + -18. Which is greater: 5 or m?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6 by 19735.\nAnswer: 6\/19735","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 21363 a multiple of 338?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 2*u - 5 + 10 = 0, 0 = -3*i - 3*u - 24. Let b(l) = l**2 + 7*l + 5. Let j be b(-5). Sort j, i, -2, -4 in increasing order.\nAnswer: j, -4, i, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77765202\/80 - 489\/19560 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**3 + 9*v**2 - 9*v**2 + 63. Let d be a(0). Calculate the greatest common divisor of 7 and d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -107 - -75. Let x = 41 + m. Suppose 4*i - x*i + 80 = 0. Solve -5*z - 4 = i for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1309bc (base 13) to base 16.\nAnswer: 6ff9c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20680 and 128084.\nAnswer: 60199480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 5*g. Let k(z) = 11*z + 45*z + 56*z - 15*z. Give k(d(p)).\nAnswer: 485*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*v**2 - v**2 - 5*v**2 - v**2.\nAnswer: -4*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -170*u**5 + 7519*u - 7519*u - 4*u**5 + 0*u**5 + 2*u**5 + (-2*u + 3*u + 0*u)*(-u**4 - 3*u**3 + 3*u**3).\nAnswer: -173*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -80 divided by -16\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -20 + 22. Suppose h*m - 291 = -3*i - 3*m, 5*m - 194 = -2*i. What are the prime factors of i?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the second derivative of h**6\/180 - h**5\/120 - h**4\/72 + h**3\/36 + 8*h. Factor d(i).\nAnswer: i*(i - 1)**2*(i + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 240 = 9*a. Let x be 14\/(-4)*a\/21. Suppose b - 2 = 3*z, 4*z + x = z + 5*b. Solve 0 = 5*g - z + 10 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**2 + 7*o - 4. Let b be s(5). Let c(m) = m. What is the remainder when (3 - (-2)\/b)\/((-2)\/(-6)) is divided by c(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (2352\/816)\/(-49) + 1967344\/34.\nAnswer: 13, 4451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10520 divided by -2104.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and 15.49271.\nAnswer: 46.47813","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4873 not equal to 34107\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y + 5 = 3*q - 12, -2 = -2*y + 2*q for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 82179677 is divided by 838568?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -20*b**3 + 11*b**2 - 6*b - 11. Let n(m) = 4*m**3 - 2*m**2 + m + 2. Give 11*n(i) + 2*w(i).\nAnswer: 4*i**3 - i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 112.81 times -3.35\nAnswer: -377.9135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00143117584 rounded to 4 dps?\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 11 - 270\/63 - 7. Which is the closest to f? (a) 0.5 (b) -4 (c) -2\/13 (d) -0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 136725911?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 811, -222.\nAnswer: -222, -4, 811","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3 + (2 - 2 - -1). Let m be 2\/x*3*-1. Suppose -4*o - m*y - 13 = -48, 15 = 5*o - 2*y. Calculate the remainder when 14 is divided by o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1643 a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14778 - -14838. What is the remainder when 645 is divided by q?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20852 and 10140?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -1\/3*h - 1\/3*h**2 + 0 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -2*v**2 - 2304*v - 18299. Determine m(-8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 14*z + 162 = 0. Suppose -5*o = 2*h - 6, -3*h + 2*o = 2*h - 15. Suppose z = 3*t + h. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9161\/8 - -1145. What is the closest to -2\/3 in -14, 4, y, 0.4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35 - 26 + 61 - 3316*g.\nAnswer: -3316*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 6) to base 13\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.04 - 0.04. Suppose 17*z - 5*v - 36 = 13*z, 2*v + 16 = 2*z. What is the third biggest value in -4, -3\/13, z, o?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 63148718?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v + 38*p + 93 = 55*p, 2*v = 5*p - 10 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -171 + 181. What is the greatest common divisor of x and 90?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**24)**0*(k*k**24)**(3\/43) assuming k is positive.\nAnswer: k**(75\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 495, 923, 1285, 1581, 1811, 1975, 2073?\n\"Answer: -33*x**2 + 527*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26 is divided by (-900)\/(-63) - (-4)\/(-14).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14 - (4 - -7)) + (0 - 6).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1*(-2)\/8)\/((-630)\/560)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the third derivative of -z**8\/672 + z**6\/80 + z**5\/60 - 3*z**2 + 10*z. Factor f(x).\nAnswer: -x**2*(x - 2)*(x + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 - (-10 - (8 - 4 - 16)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 64836?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 20 = d, d = 3*l - 0*l + 8. Put -3, -3\/8, l, 3 in descending order.\nAnswer: 3, -3\/8, -3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t + 7. Let k be v(-5). Suppose 4*n + 2583 = k*u + n, 3*n = 3*u - 3873. What is u rounded to the nearest one hundred?\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.019 + -4.019. Is -1\/4 at most t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -159*q**2 + 6*q + 6. Let l(g) = 481*g**2 - 17*g - 17. Give -6*l(x) - 17*s(x).\nAnswer: -183*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = 2*x + 3*z - 52, -54 = -2*x - 4*z. Let n = x - 1. Calculate the highest common divisor of n and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -20422 + 20501. Which is greater: 35 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 132 and 396.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qcwnwwsnnnq. What is prob of picking 2 n?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 345 = -4*u, 5*u - 1444*n + 1443*n - 423 = 0. What is the highest common factor of u and 120?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 168 and 252?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.3, -5.03, -1\/2, -41?\nAnswer: -5.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -105*u**2 + 7*u - 4 + 106*u**2 + 6*u - 2*u**3 - 16*u**4 - 14*u as s*u**4 + o*u**2 + q*u + f*u**3 + z and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -640 + 640.2. Sort r, -0.103, 0.1, -1\/4.\nAnswer: -1\/4, -0.103, 0.1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -3*q + 23, 2*x - 7*x = -4*q + 33. What is the nearest to -0.1 in -1\/7, 5, q?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - (37 - 20 - 3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 2*t = -0*t + 211, -z + 3*t + 61 = 0. Let l = z + -50. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = 2*u + 10, -9 - 7 = 5*u + m. Let s be 3 - 31\/u - 4\/12. Solve 2*r + 3*n - s = 0, -4*n + 2 + 18 = 4*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z when three letters picked without replacement from {p: 9, z: 10}.\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(209) + sqrt(209) + (sqrt(209) - (sqrt(209) - 2*sqrt(209)) - sqrt(209)))*-3)\/(-1*sqrt(33)\/sqrt(3))*3 + 4)*-3.\nAnswer: -81*sqrt(19) - 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11492 by -34.\nAnswer: -338","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -2*u + 912, 5*u - 2273 = -f - 2*f. Suppose -17*g + 141 + u = 0. Calculate the remainder when 137 is divided by g.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/74782041 and -59\/5.\nAnswer: 373910205","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) 2\/9 (c) 93 (d) 10 (e) 3 (f) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the second derivative of 0*t**3 + 0*t**2 + 1\/30*t**4 + 0 + 2*t - 1\/25*t**5 + 1\/75*t**6. Factor q(w).\nAnswer: 2*w**2*(w - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the first derivative of -3*r**5\/20 + r**4 - 3*r**3\/2 + 37*r - 32. Let f(s) be the first derivative of v(s). Solve f(a) = 0 for a.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4, 6, 3, 14, -194.\nAnswer: -194, -5, 3, 4, 6, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a litre in millilitres?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*b**2 + 8*b**2 + 2*b**2)*(-1 + 0 - 1)*(-b - 4*b + 3*b).\nAnswer: 20*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o, 1 n, and 1 w when four letters picked without replacement from ojonw?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -2*j**3 + j**2 + 1. Let c(d) = -2*d**3 + 2. Suppose 195 = 25*l - 90*l. What is l*p(h) + 2*c(h)?\nAnswer: 2*h**3 - 3*h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2607117881 to the power of 1\/2, to the nearest integer?\nAnswer: 51060","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -21\/16 + 1\/16. Which is the third biggest value? (a) y (b) 0.5 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -45\/11 and 43\/285.\nAnswer: 3135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -393, -291, -189?\n\"Answer: 102*l - 495","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -129\/4 - -32. Let s = 0.3 - 0.1. What is the smallest value in k, -2\/9, s?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g**3\/8 - g**2\/8 + 9*g\/8 + 9\/8 = 0. Calculate g.\nAnswer: -3, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((0 + sqrt(432))*-1 - sqrt(432))**2 + sqrt(3630)\/sqrt(10) + 2*(sqrt(3) + -4 + sqrt(3))**2.\nAnswer: -21*sqrt(3) + 1779","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j + 15 = -5*k, -23*j - 23*j + 3*k = -43*j + 12 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 391 + -369. Let x = -125 - -125. What is the nearest to -1\/4 in 0.1, i, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 15 = 1. Let d = 7 + -4. Suppose d*g - 15 = -0*g. Solve -4*a - g*n - 16 = 0, 2*n - 2 = 4*a + o for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the third derivative of q**5\/60 + q**4\/24 - 7*q**3\/6 + 153*q**2. Suppose -2*h + 24 = -6*h. What is the tens digit of j(h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*x - 5*x + 1286*x**2 + 1843*x**2 + 2 - 40*x**2.\nAnswer: 3089*x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 20 and 338500?\nAnswer: 338500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000576 to 6 dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.41 and -4.\nAnswer: 1.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2471*c - 8039*c - 701*c)*(-3*c**2 + 2 - c**2 + 2*c + 2*c**2) to the form u*c**2 + w + y*c**3 + k*c and give k.\nAnswer: -22422","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**2 + 7*q + 6. Let o be t(-6). Suppose 53 - 13 = 2*f + 2*m, o = -4*f - m + 65. Suppose 3*z = -f, 5*i = -3*z + 121 - 6. Does 12 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + sqrt(1331))*-1 + sqrt(1331))**2 - (sqrt(1331) + sqrt(1331)*-2)*4.\nAnswer: 25 + 44*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -15033912 divided by 5?\nAnswer: -15033912\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1285\/9 - 143. Which is the nearest to o? (a) 3\/8 (b) 1\/3 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75*k = -118020 + 60742 + 61328 for k.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*q**2 + 0*q + 4\/9*q**4 + 0 - 2\/9*q**5 - 2\/9*q**3.\nAnswer: -2*q**3*(q - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4, 2, 145.\nAnswer: -2, 2, 4, 145","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the first derivative of 13*r**5\/5 + 35*r**3\/3 + 28. Find the third derivative of m(f) wrt f.\nAnswer: 312*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes before 10:52 PM?\nAnswer: 7:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 5*h + 4*h + 12 + 2*h**2 + 3 + 2*h**3 in the form c*h**3 + i*h**2 + m*h + q and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 7}. Give prob of sequence eeee.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 42 (b) 9 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.215 - 0.049. What is s rounded to two decimal places?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a millennium in decades?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 7*t - 6*t + 9, -37 = -5*u + t. Let r(q) = 0*q**2 + 14 + u*q**2 - 2*q**2 - 2*q**2 - q - 2*q**2. What is r(0)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 794094172 + 2067*v - 794094172.\nAnswer: 2067*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 5713*o**2. Let j(f) = 2*f. Calculate j(p(n)).\nAnswer: 11426*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 + 374 + 30 = 31*d for d.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -cf8 - -4?\nAnswer: -cf4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 5325*v - 103567 + 51790 + 51777 as a + q*v and give q.\nAnswer: 5325","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + 29 = 4*z, 3 = z - 2*h + 4 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 821170573 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*x + 2*x = 28. What is the hundreds digit of (-2)\/x*(29 - -1541)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -30*s**3 - 2*s**2 + 7*s + 7. What is the remainder when 162 is divided by l(-1)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 298 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2257.1 from 25730.\nAnswer: 27987.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/53553852 and -193\/8779320.\nAnswer: 535538520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 7283 divided by -105?\nAnswer: -7283\/105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - n - 4)*(4 + 3 - 4)*(-3 + 2*n + 3)*(-6 - 1 + 3).\nAnswer: 24*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**7\/(a\/a**8))\/(a*a**(2\/5)*a*a*a)**(4\/11)*(a**(2\/7)*a*a*(a**(-6)*a)\/a)**(3\/8) assuming a is positive.\nAnswer: a**(1541\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the first derivative of -z**4\/4 + 6*z**3 + 10*z**2 - 10*z + 304. What is f(19)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50540\/3610*(-16)\/(-44)?\nAnswer: 56\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/99? (a) -1 (b) -1\/3 (c) 0.06 (d) 0.1 (e) -42\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1967765760 to the power of 1\/2, to the nearest integer?\nAnswer: 44360","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7499 rounded to 1 decimal place?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1435006 + 5707.\nAnswer: 1440713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of -11304128 and 17.1.\nAnswer: -193300588.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -61.502, 0.5, -4, 1\/4.\nAnswer: -61.502, -4, 1\/4, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13 + -9. Let v(f) = -f**2 - 25*f - 64. Determine v(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -347, -705, -1071, -1445, -1827, -2217, -2615?\n\"Answer: -4*v**2 - 346*v + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w. Let u(d) = -3*d + 19. Calculate o(u(c)).\nAnswer: 3*c - 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from owivvvnwoo. What is prob of sequence ovoi?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**3 - 10*f**2 + 2*f - 9. Suppose 32 + 4 = 2*p. Let z = -8 + p. Calculate the remainder when 20 is divided by x(z).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14.4 + 0.6. Let l = 15.1 - t. Let d = 887\/5 - 177. Which is the closest to -2\/3? (a) d (b) l (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 3*d**4 - 795264*d**3 - 3181089*d**2 - 3976374*d - 1590552 = 0.\nAnswer: -2, -1, 265092","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 - 6 = -2*w, -5*k + 2*w = -77968780. Suppose b + 4493749 = -i + k, 0 = i - 3*b - 11099985. Round i to the nearest one million.\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2218474 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -133\/49077732 and 15\/88.\nAnswer: 98155464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, 63, -138, 7\/2 in decreasing order.\nAnswer: 63, 7\/2, 2\/9, -138","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -1. Let z(k) = -k**3 + k - 12. Let r(w) = 22*h(w) - 2*z(w). Is r(2) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 649 a factor of 889377918?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1103258 to the power of 1\/2, to the nearest integer?\nAnswer: 1050","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1019, 72, 0.3?\nAnswer: 72","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 2*r**2. Let w(x) be the second derivative of x**6\/180 + x**4\/4 + x. Let v(g) be the third derivative of w(g). Determine v(b(j)).\nAnswer: 8*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**2 - i. Let g(h) = -h**3 + 0 - h**2 - 9 + 3*h + 9. Let q = -4 + 6. Calculate q*a(k) + g(k).\nAnswer: -k**3 + k**2 + k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 3 = -15. Let q(j) = n - 9*j**2 - 4. Let l(i) = -2*i. Give q(l(v)).\nAnswer: -36*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 804 = -3*n, n + 46 = -4*p + 302. Let g = -172 + n. Is 15 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -10, -1\/9, 0, -1\/2?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 113 + 38461*w - 1741 - 38458*w - 302.\nAnswer: 3*w - 1930","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16 and 112?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62 = 4*s - 5*a, -14 = -s - 0*s + 2*a. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 - 10. What is the remainder when 11\/2*(y - -14) is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -34309*i*k**2*u**3 - 266*i*k**2*u**2 - 26*i*k**2 - 2*i*k + 6*i*u**3 - 4*k*u**3 + 2*k*u**2 - 13*u**2 - u wrt u.\nAnswer: -205854*i*k**2 + 36*i - 24*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*o*w**6 + 32736*o*w**4 + 2*o*w - 34*o - w**3 - 56*w**2 + 2 wrt w.\nAnswer: 240*o*w**3 + 785664*o*w - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 - (1 + 3 + -5). Let j(v) = 0*v + r*v - v. Let u(d) = 4*d. Determine u(j(y)).\nAnswer: -4*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -44.35 (b) -0.052 (c) -374\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the second derivative of -a**7\/210 + a**6\/75 - a**4\/30 + a**3\/30 - 17*a. Let g(i) = 0. What is i?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -5*p. Suppose -i + 2 = -p*i. Factor -5\/4*h**3 - h + 1\/4*h**4 + 0 + 2*h**i.\nAnswer: h*(h - 2)**2*(h - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110112111112 (base 3) in base 16?\nAnswer: 3c3ef","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**2\/9 + 16*h\/9 - 40\/9.\nAnswer: 2*(h - 2)*(h + 10)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 55*(-34)\/(-31790)*17\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32280.83 micrometers to nanometers.\nAnswer: 32280830","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**0\/d*d*d*d**(-11)*(d\/d**1*d)**(-1\/12))**33 assuming d is positive.\nAnswer: d**(-1331\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -25 + 23. Let p = -23 - -162\/7. What is the nearest to p in -1, -0.3, n?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -9, -4, 13, 48, 107, 196, 321?\n\"Answer: v**3 - 2*v - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 9 = 4. Suppose -d + 1 = -h. Suppose d*p - 99 = p. Does 33 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the second derivative of f**5\/20 + f**4\/3 + 2*f**3\/3 + 3*f**2\/2 - 3*f. Let y be j(-3). Solve 0 = -4*a - y*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 1031*a**2. Let d(n) = -147*n. Give c(d(u)).\nAnswer: 22278879*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes before 3:18 PM?\nAnswer: 10:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 0, -2, -3.\nAnswer: -3, -2, 0, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 5794737257 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 5*y, 0 = 5*r - r - 5*y + 20. Let h be 6\/3 - (r\/3)\/2. Suppose 2 + 2 = h*k, 4*k + 277 = 5*m. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16929*n**2 + 359978*n**2 + 44455*n**2.\nAnswer: 421362*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-4)\/m**(-3\/4))\/((m**(-2\/11)\/m)\/((m\/(m\/m**(2\/11)))\/m)))**(13\/3) assuming m is positive.\nAnswer: m**(-1651\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3*(-1)\/9)\/(9 - 8). Let 1\/3*o**2 + 2\/3*o + i = 0. Calculate o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67 = 13*o - 12*o. Let z = o + 225\/4. Find the common denominator of 24 and z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xg when two letters picked without replacement from gxgggxggggxggggg.\nAnswer: 13\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00821 plus 154721?\nAnswer: 154721.00821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 - 16?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 - (-2 + 16 + (24 - 7)) - -53?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) -0.5 (b) -2\/35 (c) -1.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 2*s - 3*x, s + 3 = x + 6 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -254*q - 13. Let b be j(-28). Let f = -70929\/10 + b. Find the common denominator of -49\/4 and f.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -b**3*t*y**3 - 3*b**3*t + 9*b**3*y**3 - 25*b**2*t*y + t*y**2 wrt y?\nAnswer: -6*b**3*t + 54*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*p + 3 + 24. Suppose -6*d - 3 = -3*d, 3*d - 60 = -p*i. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1953217181 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 u, and 1 k when three letters picked without replacement from {b: 1, m: 1, y: 2, a: 1, k: 1, u: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = 9291*l - 9288*l - 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -3*x - 2*x. Let z(q) = -q - 1 + 7*q**2 - q**2 + 17*q**x. Is z(2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -8*f + 505. Determine v(61).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.0241, -3, -1, 42, 0.4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zjzz. Give prob of picking 1 z and 1 j.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 2\/663377?\nAnswer: 2\/663377","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 7 - (14\/(-7) - -7). Solve -5 = i*f + 5*y, -y + 12 = -5*y for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2 - (-15)\/(-9))\/(-1). Let p be (-2)\/(126\/(-13)) - ((-1562)\/(-99) - 16). What is the closest to 0 in 0.1, d, 0.4, p?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 32655, 32449, 32245, 32043, 31843, 31645?\n\"Answer: d**2 - 209*d + 32863","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 712 = 3*p + 2*p - 3*b, p = -3*b + 146. Suppose 2*r - 3*r - 31 = -f, -5*f + p = -2*r. List the prime factors of f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 74 + -74.00000107. Round f to 7 dps.\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -48*v. Let o be w(-1). Let h = 145 - o. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -2*a**2. Let z(s) = -s**2 - 38*s. What is y(z(t))?\nAnswer: -2*t**4 - 152*t**3 - 2888*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -2012102 (base 3) to base 16\nAnswer: -644","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 307167 and 5397?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 4*w = 14162, 26*w - 29*w = 4*k - 56572. What are the prime factors of k?\nAnswer: 2, 11, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5 + 40945\/10773 + (-8)\/(-28) and -121\/72.\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 897.\nAnswer: 3, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 146 a factor of 51731158?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -1981*i + 5. Let h(w) = w + 4. Give -h(t) + y(t).\nAnswer: -1982*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3067 (b) 0 (c) -1 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 27102410 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -6*s. Let j(y) = -y. What is 2*j(q) - x(q)?\nAnswer: 4*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - -7 - (-1 + 3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2421 by 310.\nAnswer: 2421\/310","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 5*p - 2*p - 5, 5*p + o - 30 = 0. Let s = p - 6. Let g = 6 - s. Solve 3*x - 4 = y + 6, 2*y + 3*x - g = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1959?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/935 and -104\/50325.\nAnswer: 855525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4\/9*x**3 - 2\/9 + 2\/9*x**4 + 0*x**2 + 4\/9*x = 0. Calculate x.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (11 - 4 - 11)\/((-22)\/1)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qs when two letters picked without replacement from {m: 2, t: 1, s: 5, i: 5, q: 1, g: 2}?\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8783, -17653, -26605, -35639, -44755, -53953, -63233?\nAnswer: -72595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tintibnttssn. Give prob of sequence its.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/3)\/((-2)\/(-15))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 280*q**3 - 67*q**3 - 111*q**3 - 109*q**3.\nAnswer: -7*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10452760 to the nearest integer?\nAnswer: 219","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 720573?\nAnswer: 3, 7, 34313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2002 - -22000222?\nAnswer: 21221220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2579, -5183, -7787?\n\"Answer: -2604*w + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/5 - (0 + 2 + -3).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 6552*q**2 - 5. Let m be 2\/(1 - (0 - -2)\/(-2)). Is s(m) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1010\/2159 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1\/10 (b) 0 (c) 120 (d) -0.05 (e) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55*k + 57*k - 107*k.\nAnswer: 5*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - d = 3*d + 19, -3*d = 5*f - 47. Solve -2*z - 4*g - 30 = 0, 2*g - f*g - 50 = 5*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5 + -5 + 4 + 3 + 0. Let q(a) = a**3 - 7*a**2 - 2*a + 8. Determine q(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11514 (base 6) to base 12.\nAnswer: b9a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-77)\/(186340\/(-44))*22\/2*1725\/(-3)?\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 4599*i. Let d(c) = -3*c + 2. What is f(d(t))?\nAnswer: -13797*t + 9198","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -67, -393, -1281, -3013, -5871, -10137, -16093?\n\"Answer: -47*v**3 + v**2 - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11544, -23106, -34656, -46188, -57696, -69174, -80616, -92016?\nAnswer: -103368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 6 + 11\/3*o + 1\/3*o**2 = 0?\nAnswer: -9, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 157440 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2029332*l - 2029332*l - 25 + l**2.\nAnswer: l**2 - 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -860*c + 859*c = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -73 - -55. Let c be (-4)\/p - (-1300)\/(-18). What is the hundreds digit of (42 - 0)\/(4*(-4)\/c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:16 AM and 12:23 PM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmeemeemeeemmememem. What is prob of picking 2 e and 1 m?\nAnswer: 135\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*k**2 + 2*k**3 - 3*k**3 + 10*k**3 + 12*k**2.\nAnswer: 9*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a kilogram in grams?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 68382?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 23\/46*((-2288)\/11)\/(-26).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 19194303281 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -5\/159107?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 131.8 * -0.125.\nAnswer: -16.475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 4*b - 2034692, -377*b - 4069408 = -2*s - 373*b. Round s to the nearest 10000.\nAnswer: 2030000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 882.525 years in decades?\nAnswer: 88.2525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**3 + 5*a**2 - 2*a + 1. Let b = -66 + 69. Give g(b).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/8637273 and -121\/4698.\nAnswer: 17274546","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 >= 610\/21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 - 0.03. Let a = r - 0.97. What is the third biggest value in 0.4, 0.3, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 93\/7792 and 39\/1140067?\nAnswer: 18241072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*((-513360)\/(-216))\/115.\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-150))\/(101\/(4040\/100)).\nAnswer: -2\/125","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 187*p = -161*p - 2689*p - 45555 for p.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-y - 2*y + 4*y)*(-5 + 0 + 4) + (0 + 6 - 4)*(38 + 26 + 51)*(-2*y + 3*y - 2*y) in the form p*y + b and give p.\nAnswer: -231","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -9, -0.3, -0.09, 2\/7?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1841?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w - w + 6*w)*(-4*w + 2*w + 3*w + (273 - 92 + 35)*(-w + 2*w + w)).\nAnswer: 866*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 + 6)*(4 - (-21)\/(-14)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 485*h**2 + 500*h + 15 = 0. Calculate h.\nAnswer: -1, -3\/97","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 172944*j + 2075406. Determine v(-12).\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000370873161 to 5 decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 38 + 55. Let h = -89.1 + o. Let q = -4 + h. Which is the second smallest value? (a) -3 (b) q (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 58141 by -1794.\nAnswer: -58141\/1794","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 6781663219 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 0 - 20 + 4*o + 10 + o**2. What is the least common multiple of j(3) and 136?\nAnswer: 1496","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -110*l + 806. Determine y(9).\nAnswer: -184","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1011, 4013, 9015, 16017, 25019, 36021, 49023?\n\"Answer: 1000*v**2 + 2*v + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 621401144 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 136613 is divided by 198?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4597965)\/(-9720) + -473 + ((-1127)\/24)\/(-1).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the first derivative of -7*v**4\/4 - v**3\/3 - 88*v + 95. What is the derivative of w(j) wrt j?\nAnswer: -21*j**2 - 2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3674)\/(-88) + 2\/8. Let r be ((-30)\/w)\/(6\/(-21)). What is the biggest value in r, 9, 4\/9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the first derivative of -m**4\/4 + m**3\/3 + m**2\/2 - m + 7. Let h be j(1). Suppose -7*t + 2*t + 55 = h. Is t a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1827 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-29)\/(b*b**(3\/10)))\/(b**(-8))**(-50) assuming b is positive.\nAnswer: b**(-4303\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Total of -454.66 and 15864.\nAnswer: 15409.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the second derivative of -v**4\/12 + 5*v**3\/6 - v**2 + 51*v. Let j(s) = -s**2 - 6*s + 3. Let n be j(-6). Let q be u(n). Solve 3*d = q*d + 4 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7861775?\nAnswer: 5, 157, 2003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + 31 = 12186*v - 12190*v, v = 3*p + 41 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-10)\/5)\/((-2)\/(-164)). Let d = s - -244. Let f be (-4)\/(15\/8 - 2). What is the greatest common factor of d and f?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y = 8*y - 384. What is the lowest common multiple of 16 and y?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l + 567 = 283*p, -159 + 164 = 5*l + 5*p for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:56 AM and 8:06 AM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1118 is divided by 183?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -5*t + 8396, -22*c + 8436 = -18*c - 5*t. Calculate the highest common divisor of c and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -26 + 30. Suppose z*l - 4 = 2*l. What is the tens digit of 2*41\/l + 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -20 by 2.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -153 - -1685\/11. Let z = -47\/84 - -5\/12. Which is the third smallest value? (a) f (b) z (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 11848*k + 3352989. What is m(-283)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 4 = -x. Suppose -2*t - 2 = -4*t, k = -5*t + 10. Suppose -x*z + k*z - 12 = 0. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(4\/3)*a*a**(5\/8)\/a assuming a is positive.\nAnswer: a**(47\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6041 is divided by 2962?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 7866\/(-152) + 24 - -28\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/9 of a hour in seconds?\nAnswer: 5600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 5*((1 + sqrt(1539)*-1)**2 + sqrt(1539) + sqrt(1539) + 3).\nAnswer: 7713","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 7607 and 0.15.\nAnswer: 1141.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-13)\/26)\/((-29)\/(9 + 2659))\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -14*c**2 - 13*c - 3. Let b be y(-5). What are the prime factors of ((-11)\/((-110)\/b))\/((-3)\/20)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the second derivative of 0 + 0*j**7 + 0*j**3 - 1\/6*j**4 + 0*j**6 + 0*j**5 + j + 0*j**2 - 1\/28*j**8. What is the third derivative of i(b) wrt b?\nAnswer: -240*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a\/a**(-2\/3))*a*a*a**(2\/31))**12*(a**0)**49\/(a**(-1))**(-3) assuming a is positive.\nAnswer: a**(427\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*n + 3291 - 6565 + 3284.\nAnswer: 21*n + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6.94 * 0.4.\nAnswer: 2.776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 + 2. Suppose x = 3*o + o - 4. Put 2, -4, o in decreasing order.\nAnswer: 2, o, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 224125*g**6*s - 3*g**5*s + 16127*g**2*s - 2*g**2 wrt g.\nAnswer: 26895000*g**3*s - 180*g**2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the third derivative of o**6\/144 - 7*o**5\/30 + 19*o**4\/24 + 2*o**2. Let t(i) be the second derivative of y(i). What is the units digit of t(19)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + ((sqrt(189)*4 - sqrt(189))\/sqrt(3) - sqrt(63))\/((sqrt(4032) + sqrt(63) - sqrt(63))\/sqrt(7)))**2 + -5.\nAnswer: -57\/16 + sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1163682, 4654701, 10473058, 18618747, 29091762?\n\"Answer: -n**3 + 1163675*n**2 + n + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 4*y**2 + 0*y**2 + 0*y**2 - 5*y**2 + 5*y**2 + 3*y. Let n be 1 - (-6 - 1*-2). Let r(x) = 7*x**2 + 5*x. Calculate n*b(f) - 3*r(f).\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-18)\/(-2) - 7 - (-1 - 102). Is (-19009)\/(-5) + -7*(-3)\/b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -124, -78, 0, 116, 276?\n\"Answer: h**3 + 10*h**2 + 9*h - 144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9.9 - -9.828. What is u rounded to 2 dps?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jc when two letters picked without replacement from jyyccccjjcyccjyc.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 138600 and 27720?\nAnswer: 138600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put together 22 and -3021.8.\nAnswer: -2999.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 1. Let o(i) = -i + 1. Let m(d) = -a(d) + o(d). Let v(u) be the third derivative of u**5\/15 - 2*u**2. Give m(v(y)).\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1552310897 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**2 - 2*r + 3. Let u be l(-5). List the prime factors of (6\/(-4))\/(u\/56).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18) + (-1*sqrt(108) + sqrt(108))\/sqrt(6))\/(6*sqrt(30)\/sqrt(5)).\nAnswer: sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/18 - 0 - (-231)\/126. Suppose 6*n = 8*n - p*y, -12 = 2*n + 4*y. Let j(t) = t**2 + 3*t + 3. Calculate j(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -323*j**3*y**2 + 5*j**3 - 2*j**2 - 4*j*y**2 + 13*j*y + 137*j + 8 wrt y.\nAnswer: -646*j**3*y - 8*j*y + 13*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 5*d - 8399994 = 3*b, -5*b = -10. What is d rounded to the nearest 1000000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10174118 divided by 538\nAnswer: -18911","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 8455023779 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 4, w: 1, h: 1, a: 2, g: 5, k: 2}. What is prob of picking 1 g and 1 w?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 - -4. Suppose -5*o - 25 = 5*a, 3*o = 5*a + 30 + 27. Let h be (-34)\/a - 14\/(-63). Put -4, b, h in decreasing order.\nAnswer: h, b, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o*o\/(o*o**(-3\/8)))\/o)\/(o**(-1\/15)\/o) assuming o is positive.\nAnswer: o**(293\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(20))**2 + (sqrt(20) - sqrt(80))\/sqrt(4) + (sqrt(30)\/sqrt(6) + -3 + 5)**2.\nAnswer: 11*sqrt(5) + 33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1963595, 1963604, 1963613, 1963622?\n\"Answer: 9*u + 1963586","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**2 - 1 + 4 - 2 + 3*f**2 - 6*f. Let p(k) = 2*k**2 - 6*k + 1. Let v(l) = 2*p(l) - 3*y(l). Let t = -1 - -5. Give v(t).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -44 + 58. Let w = -6 + i. Suppose 3*l + r = w*l + 43948, -3*l - r = 26372. What is l rounded to the nearest one thousand?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 6*j**2 + 1. Let d(r) = -58*r + 58*r + r**2 - 1. Let a(q) = -d(q) - g(q). Let h(b) = -3*b**2. Give h(a(n)).\nAnswer: -147*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/5)\/(126\/(-360)).\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h = -0*h - 2, -j - 4*h - 3 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 8577*j**2 + 131*j + 19775501 wrt j?\nAnswer: 17154*j + 131","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 33 + -62. Let l = 5903.9 - 5903.5. Which is bigger: l or d?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (20\/(-5) + 4)\/2. Solve m - 26 + 25 = l for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**3 + 13*d**2 - 10*d + 14. Let m = -43 - -55. Let v be w(m). Which is smaller: 39 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 4 (b) 135 (c) -2\/3 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5266*l = 5253*l + 806 for l.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-652)\/(-3423)*(-9)\/(-5)*(-15)\/2\nAnswer: -18\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**0)**(-27)\/(r**(-2\/17)*r*r*r**(2\/15)) assuming r is positive.\nAnswer: r**(-7399\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -4*p**4\/5 + 964*p**3\/5 + 388*p**2 + 972*p\/5 = 0.\nAnswer: -1, 0, 243","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.5? (a) 6\/5 (b) -3\/5 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4 (b) -1\/6 (c) 6.94 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -784907*w**3 + 5*w**2 - 59*w - 446. Let h be y(-6). Round h to the nearest 1000000.\nAnswer: 170000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = -4*h + 3720. Let i be -1*h + 1 + -4. Let f = i - -1797\/2. Calculate the common denominator of f and -17\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -135 by 1.\nAnswer: -135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is (3\/((-15)\/(-607730) - 0))\/(14\/7) 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 - (37 + -28 + (1 - 1) + -5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -2405*t. Let p(x) = -x**2 + 6*x. Give p(k(l)).\nAnswer: -5784025*l**2 - 14430*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 1)*(0*m**2 - 2*m**2 + 4*m**2 - m + m - m**2 + (0 - 2*m + 0)*(3 - 3 + m) - 3 - m**2 + 3).\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:51 PM and 3:35 PM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(21) + 6*(1*sqrt(21) + sqrt(21) + sqrt(21)))\/sqrt(3) + (sqrt(168)\/sqrt(3))\/sqrt(8) + sqrt(21)\/(sqrt(3)*1).\nAnswer: 21*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*d - 5*d = 0. What is the second biggest value in 19, d, -289?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 684964, 2739841, 6164628, 10959325?\nAnswer: 17123932","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the first derivative of w**3\/3 + 2*w**2 - w + 2. Let j be p(-3). Let l(t) = -2 + 3 + 0 + t. Calculate l(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27017 is divided by 8994.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1944 is divided by 944.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 13983*r*v - 190*r wrt v.\nAnswer: 13983*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 55080 and 105829335.\nAnswer: 6885","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -9*r - 44. What is the tens digit of h(-19)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4054 less than 33?\nAnswer: -4021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -16*b + 26. Let o be d(5). Let n = o + 93. Calculate the remainder when 75 is divided by n.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 319.3683us to seconds.\nAnswer: 0.0003193683","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7412390177 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*z - 52*z = -104*z - 84 for z.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (996\/7968)\/(((-2)\/22)\/(-12 - -11))?\nAnswer: 11\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 7, m: 7}. Give prob of sequence my.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*z**2 - 2 + 49*z**4 + 11*z**3 + 4*z**2 + 54*z**4 + 61*z**4 - 162*z**4 in the form f*z + a*z**4 + l + m*z**3 + t*z**2 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*g - 22*g + 60 = 0. Solve 2*q - 3*q - 3*z = -8, z = -4*q + g for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 3, -1\/3, 0.0894?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4.06 + -4. Which is the second smallest value? (a) 0.5 (b) q (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7\/19 greater than or equal to -1\/175?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/((-252)\/27)*(-20)\/6.\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 162 is divided by 58.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 599, 0, -3, 745 in descending order.\nAnswer: 745, 599, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -w**2 + w**4 + w**2 + (2 + 0 - 1 + (-1 - 1 + 0)*(0 - 5 - 6))*(15*w**4 + 26*w**4 - 12*w**4).\nAnswer: 668*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 109760839?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1492db (base 14) in base 5?\nAnswer: -140414034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 135\/36*(-1760)\/(-20)?\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 90\/12*(-6)\/(-9)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6 and 2800?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -53253534, -106507078, -159760618, -213014154, -266267686, -319521214, -372774738?\nAnswer: -426028258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -0.05, 76, 0.2.\nAnswer: -0.05, 0.2, 2, 76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times -34\nAnswer: 13.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 10419.11 * 0.02\nAnswer: 208.3822","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 267 = -3*d + 99, -5*d + 5*c = -600. What is the greatest common factor of 112 and d?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6029 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 14 = 4*t - 5, 0 = -3*t + 3*x + 18. Let h be ((-6)\/(-3))\/(t + 10\/(-4)). Are h and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -32430 - 2130?\nAnswer: -35000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 3*m**2 - 3*m - 1. Let n(u) = -15*u**2 + 16*u + 6. Suppose 3*x + 22 = 4*q - 23, 0 = 2*q - 6. What is x*g(t) - 2*n(t)?\nAnswer: -3*t**2 + t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -22043*170\nAnswer: -3747310","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -133*p - 44436 = 124607. Suppose -3*o - 354 = 318. Let c = o - p. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -32 (base 6) to base 15.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -154 - -211. What is the tens digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 308756 + -308754. Factor 605\/3*d**n + 5\/3*d**4 + 0 + 0*d - 110\/3*d**3.\nAnswer: 5*d**2*(d - 11)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 2200804938?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence krbo when four letters picked without replacement from {i: 3, b: 7, o: 4, r: 3, k: 3}?\nAnswer: 7\/3230","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -40252 + -1?\nAnswer: -40253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 123136 and 481?\nAnswer: 481","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 2*x**2 + 3*x + 6. Let b(a) = 5*a**2 - 5*a + 21. Let l(j) = 14*j**2 - 13*j + 59. Let c(h) = -11*b(h) + 4*l(h). Determine -6*c(u) + 5*g(u).\nAnswer: 4*u**2 - 3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30 is divided by 1 + (-423)\/(-33) + (-2)\/(-11).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hjnhjnnhhhhh. What is prob of sequence jj?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-7015912)\/(-72) + (-21)\/(-27) + -1. Let i = v + -18843. What is i rounded to the nearest 10000?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:07 PM and 5:06 AM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5041 and 71.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 13*r + 171. Let m be l(-13). Suppose 6*w - w - 25 = 0, -2*s = -4*w - 2940. What is the third derivative of -s*o + 1480*o - o**m - 7*o**5 wrt o?\nAnswer: -420*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -45\/230951 and -38\/1154755?\nAnswer: 1154755","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 33568, 133780, 300796, 534610, 835216, 1202608?\nAnswer: 1636780","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.11 times -306737?\nAnswer: 647215.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 29.77 - 30.27. What is the biggest value in -5, 40, -2\/5, o?\nAnswer: 40","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -7 + 8 + 5*j - 4 - 19. What are the prime factors of c(27)?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*d - 100*i - 37 = -4*d + 1367, -4*i - 64 = 4*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What is (32 - 5) + -72 + 15?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -3*t**2. Let p(q) = 5022*q**2 + 2*q. Calculate p(j(r)).\nAnswer: 45198*r**4 - 6*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -4, -0.1, 2, -6, -2 in decreasing order.\nAnswer: 2, 0.2, -0.1, -2, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(72)*2)\/sqrt(12)*-2*-1)\/(sqrt(90)\/(sqrt(5) - (sqrt(5) + (sqrt(5) - 4*sqrt(10)\/sqrt(2))))))**2.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10101111010 + -10010111001?\nAnswer: 11000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in d**2 - 24*d**2 - 6*d**2 - 101*d**2.\nAnswer: -130*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 2*r = 2*p - 22, 0 = p - 5*r - 17. Suppose -81 = -p*k - 9. Let s = k + -2. Calculate the lowest common multiple of s and 52.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_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: Let b(n) = -n**3 + 3*n**2 + 6*n + 6. Determine b(5).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/2720 and 41\/13192.\nAnswer: 263840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.17705146 rounded to 3 decimal places?\nAnswer: 1.177","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1932 - -3444. Suppose -5*n + y = -1015 - 896, -4*n + 5*y + z = 0. Is n a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 15*g**3 - 3*g**2 - 3*g + 1. Let r(p) = 14*p**3 - 2*p**2 - 2*p + 1. Let d(w) = -3*r(w) + 2*x(w). What is the first derivative of d(q) wrt q?\nAnswer: -36*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-29)\/1 - (2 - 25)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 26 + (-59 - (-17 + -61))\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 14 = k, -3*k = k - w - 7. Let x be (87\/(-75) + k)*-5. Which is the third smallest value? (a) 2 (b) -0.5 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 95*t**2 - t. Let m be r(2). Let u(i) = 1 - 1 + 380*i - m*i. Let c(g) = g - g - g - 2*g. Calculate u(c(a)).\nAnswer: -6*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 11 in -1, -1\/3, -2233, 1\/4, -2\/9?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**2 - 3*u + 3. Let s(c) = c**2 + 7*c - 7. Let p = -11 - -3. Let g be s(p). Let n(d) = d - 1. Give g*t(m) + 3*n(m).\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 64 - 66. Let b(c) = -6*c - 2. Let f be b(x). Suppose 3*w - 127 = 5*s - f*s, w = s - 27. Solve -2*v + 4*v - s = -4*p, 4 = 3*v - p for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 8*j + 69 = 0. Let y be (-1 - (-4)\/(-2))\/(-1). Suppose -y*i + 4 = -j. Does 6 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**2. Suppose w - 209 = -4*i + 4*w, 2*w = -6. Suppose -3*m + 8*m - i = 0. Let d(a) = -5*a + m*a - 7*a. Give g(d(p)).\nAnswer: -4*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 189363699.\nAnswer: 2\/189363699","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -3273*m**3 + 3*m**2 + 3*m. Let s(o) = -592406*o**3 + 542*o**2 + 542*o. Determine 542*b(n) - 3*s(n).\nAnswer: 3252*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21*(-8)\/144 - (-2)\/2?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1668545, -1668532, -1668519, -1668506, -1668493, -1668480?\nAnswer: -1668467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4717, -38524, -130457, -309580, -604957, -1045652, -1660729, -2479252?\nAnswer: -3530285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the third derivative of p**5\/12 + 445*p**4\/3 + 316840*p**3\/3 - 34*p**2 + 13*p. Factor j(a).\nAnswer: 5*(a + 356)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59809 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4672301.\nAnswer: 4672301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -62923.9109 rounded to the nearest 1000?\nAnswer: -63000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -3516*i**2. Let q(a) = 522*a**2 - 235*a**2 - 286*a**2. Give q(b(m)).\nAnswer: 12362256*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the third derivative of 1\/6*h**3 + 0*h + 3*h**2 + 1\/20*h**5 - 1\/24*h**4 + 0. Let t be l(1). Solve 0 = -2*k - 6, 7*k = t*z + 3*k - 9 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3254 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*n - 3*n - 1270 + 1270.\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-20)\/(-16))\/((-1)\/(-4)). Suppose n - 18 = -2*f - n, k*f - 33 = -2*n. Suppose 0 = -f*u + 8 - 3. Is u equal to -1\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 229.7 - 248.7. Which is the nearest to -0.3? (a) 2 (b) y (c) -1 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4481\/207 + -4\/207. What is the common denominator of 65\/27 and y?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**3 - 44*k**2 + 6730*k - 45309. Calculate o(7).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y + 0*y + 2842 = 0. List the prime factors of y.\nAnswer: 2, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -5*l, -3*l = -m + l. Suppose m = 3*r + s + 9, 0 = 5*r - 2*s - 3*s - 5. Are r and 2\/5 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*i**3 + 8*i**3 + 2*i**3)*(1 + i - 1).\nAnswer: 6*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 65, 58, 37, -4, -71, -170, -307, -488?\nAnswer: -719","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 25*2\/20*4. Suppose x = -3*s + 8, 10*s + 5*x - a = 5*s. Solve -4*h + s*h - 11 = -3*u, 4*h - 3*u + 8 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 118255577?\nAnswer: 11, 10750507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1 times -0.0935\nAnswer: -0.0935","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 2*v. Let d(r) = -13*r**2 + 130*r. Calculate -3*d(y) + 195*w(y).\nAnswer: 39*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*q = -38*q + 296. Suppose 5*f = p + 15, 10 = 3*f - f. What is the remainder when q is divided by p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 57, 830, 2113, 3900, 6185?\nAnswer: 8962","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88*h + 20 = 92*h. Suppose 122 = 2*b - 3*d, 0 = 4*b - h*d - 73 - 171. Let i = 116 - b. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7852 + 7873 - 15725 - 1776*d.\nAnswer: -1776*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1133170 rounded to the nearest 100000?\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 49493?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-15) + 1716\/(-165).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 36127952 and 140?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4138.056 months to decades.\nAnswer: 34.4838","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10000010101110 (base 2) to base 5.\nAnswer: -231431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 + -4. What is the second derivative of -p**j + p**2 + 25*p**5 - 2*p - 4*p wrt p?\nAnswer: 500*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -64.78 * 85.\nAnswer: -5506.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13571 is divided by 9642.\nAnswer: 3929","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 + -19aa1?\nAnswer: -19aa6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 86973 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 34 = -4*p + 7, 0 = 2*l + 4*p + 22. Calculate the least common multiple of -12*6\/l + 2 and 14.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o - 3560 = -606. List the prime factors of o.\nAnswer: 2, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -6913*z + 434. Let i(n) = 96*n - 6. Determine -217*i(d) - 3*k(d).\nAnswer: -93*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 28 and 3.\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 z when two letters picked without replacement from {f: 2, m: 1, c: 1, d: 6, z: 2}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ib when two letters picked without replacement from {b: 1, i: 1, c: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the third derivative of -w**5\/60 + 3*w**4\/8 + 3*w**3 - 22*w**2. Let d be l(11). What is the common denominator of (d\/50)\/(16\/(-390)) and 79\/4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -342478 plus -0.0982?\nAnswer: -342478.0982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5799244*p**4 - 4*p**3 - 3*p - 438519818?\nAnswer: 23196976*p**3 - 12*p**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**2 + 2*u - 2. Let c be j(5). Let y be (8\/(-12))\/((-2)\/c). Let r = y + -3. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**3 + l**2 - l + 20. What is j(0)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 4*q - 3*o - 32, -4*q = -5*o - 36. Let d be 5*(1 + q + -4). Suppose -d*b = -6*b + 24. Is b a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s + 16 = 22, -5*w - 11 = 2*s for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8046896.1 rounded to the nearest one thousand?\nAnswer: 8047000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*a**3*v**2 + 1309*a**3*v - 2*a**3 + 38*a**2*v - 261*v**2 wrt a.\nAnswer: 24*v**2 + 7854*v - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -145\/36 and -83\/204.\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 14 - 10. Let n = b - 2. Suppose n*z - w - 52 = w, 2*z + 2*w - 52 = 0. Is z a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 - 16635?\nAnswer: -16635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*a + 4*b + 20 = 50*a, 0 = -3*a + 2*b + 10 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zuqu. What is prob of picking 1 u, 1 q, and 2 z?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1145534 (base 8) in base 5?\nAnswer: -40023304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dzohoqdqkqo. Give prob of picking 1 d, 1 z, 1 q, and 1 k.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 582 (base 13) to base 16\nAnswer: 3b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 42 and 140?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the third derivative of l**4\/12 + 3*l**2. Let d be y(2). Let c be ((-18)\/(-3))\/(d\/10). Solve c = -5*j, 35 = 2*o + 2*o - 5*j for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -123*i - 48*i**2 + 5*i**2 + 123*i.\nAnswer: -43*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 90.17 + -0.17. Let z = 1561805116 - 1561805026.0000171. Let g = z - n. Round g to six dps.\nAnswer: -0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/(-12))\/(21\/(-20)*120\/(-336)).\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**3 + 38*f**2 - 123*f + 16. Give j(-41).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bmmb when four letters picked without replacement from mbbbbm.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 18*q + 5760 = 28*q. What is the highest common factor of 176 and q?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -9*a + 50 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.1, -1.03, -0.4, -4\/9, 0.27?\nAnswer: 0.27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 751399833?\nAnswer: 3, 250466611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1172*b**3*f - 9*b**2*f - 2*b*f - 2*f - 168 wrt b?\nAnswer: 7032*b*f - 18*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k - 19*v + 7*v - 6 - 12 = -10*v, 0 = -9*k - 4*v - 8 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 + -5. Suppose -p*r + 8 = -2*j, -4*r - j - j + 34 = 0. Solve g = l - r, g = -l - 0 + 4 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f - 110 = -5*h, f - h + 2*h - 804 + 824 = 0 for f.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 150*w**5 + 316697*w**4 - 47518*w - 979 wrt w?\nAnswer: 3000*w**3 + 3800364*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from {i: 3, n: 5}.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -123.12734321 rounded to 2 dps?\nAnswer: -123.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 2*p = 0. Let y(g) = 9 + 5 - 5*g + 4*g + 2*g. Let q be y(-11). Solve h + p*h = -q for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1938179640?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 320401 (base 6) in base 3?\nAnswer: 1022202101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/(480\/306)*(-19 - (24 + -35)).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 205 and -3630424682.\nAnswer: -3630424477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 47 + -b400?\nAnswer: -b397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**3\/5 - 3*k**2\/5 + 27*k\/5 + 27\/5.\nAnswer: -3*(k - 3)*(k + 1)*(k + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -34 + 40. Suppose 0 = b + h*b - 42. What is the highest common divisor of 15 and b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*c**5*q + 2*c**4*q + 79*c**4 + 2*c**2 - 7*c + 8*q wrt c?\nAnswer: -180*c**2*q + 48*c*q + 1896*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -50 + 473?\nAnswer: 423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.00680553 times 1\nAnswer: 0.00680553","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 594*q - 597*q. Let r(b) be the second derivative of -1\/42*b**7 + 0 + 0*b**2 + b + 0*b**6 + q*b**5 + 0*b**4 + 0*b**3. Factor r(s).\nAnswer: -s**5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2911197 less than or equal to -2911200?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express h**3 - 2*h**2 + 3397*h**4 + 3*h**2 - 3398*h**4 - 27 + 9 as t*h**3 + x + k*h + p*h**4 + d*h**2 and give x.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2416819.\nAnswer: 19, 131, 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*p - 3*p - 5*p + (-3*p + 4*p + p)*(2 - 2 + 1) - 3*p + 2*p + 2*p + 5*p - 3 + 3 - 2 + 2 - p)*(4 + 3 - 5).\nAnswer: -18*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3453 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -48 - -44. Put -4\/9, 0.3, u, -19 in decreasing order.\nAnswer: 0.3, -4\/9, u, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88*d + 7096038 = -15*d. Does 15 divide (3\/18*-2)\/((-17)\/d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10053 + 28592. List the prime factors of r.\nAnswer: 18539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 - 1. Let x be (h\/(-9))\/((-4)\/(-6)). Let k = -2832 + 2831.93. What is the smallest value in k, -2\/3, 3, x?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 8*9\/(-2) + 1. Let y be j\/2 + (-1)\/2. Let n = -9 - y. Is n a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x + 3*x - 16. Solve -x*v = -2*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 1012 = -3390. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -222*u**3 - 2*u**2 + 1. Let p be v(1). Suppose 2*f - 686 = -4*h, -415 = -4*f + h + 921. Let l = f + p. What is the highest common factor of 14 and l?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*z - 4*w + 18, 263*w - 23 = z + 259*w for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*p - 2*p - 8*p - 3*p to q + l*p and give l.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6396 - -6396.2. Which is the second smallest value? (a) -1\/6 (b) -4 (c) 145 (d) 4 (e) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -563, -191, -3, -4\/5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -2*y - 2*w - 3*w, -w = 4*y - 43. Let a(c) = -2*c + 29. Let m be a(y). Let q(j) = 2 + 0*j**2 - 5 + m*j - 8*j - j**2. Calculate q(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 55*p**2 - 22*p + 5. Give l(1).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -24*d + 11. Does 17 divide k(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.7777 to one decimal place.\nAnswer: -1.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11 - -21. Let a(f) = 30*f - 282. Let d be a(10). Suppose -26*y + d = -17*y. Calculate the smallest common multiple of y and s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19343, 38963, 58585, 78209, 97835, 117463?\nAnswer: 137093","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.9 + -1.7. Which is the fourth biggest value? (a) 5 (b) n (c) -4 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -85, -354, -987, -2170, -4089, -6930, -10879, -16122?\nAnswer: -22845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -m**2 + 97 + 1 - 51 as c*m**2 + n + k*m and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12.871 - -8.651. Round f to the nearest integer.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 91, -5, -4.\nAnswer: -5, -4, 91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1115009 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r**2 + 7*r**2 - 2*r**2)*(-2*r**3 + 4*r**3 - 3*r**3 - 2*r + 2*r + r**3 + (3*r - r**2 - 3*r)*(-1 + 1 - 2*r) + 2*r**3 - 3 + 3).\nAnswer: 12*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**3 - 9*q**2 + 9*q - 5. Let j be d(8). Let p(a) = 2*a**3 - a**2 - 4*a + 1. Is p(j) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 + (-6)\/(-8)*(-7)\/((-126)\/72). Let b(a) = 1. Let f(w) = -3*w - 1. Let m(q) = 4*q + 1. Let p(y) = -5*f(y) - 4*m(y). Determine o*b(s) - 6*p(s).\nAnswer: 6*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 73 and 88006683.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes after 7:21 AM?\nAnswer: 4:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -20038\/429 - -6\/143. Put -2, s, -0.1 in decreasing order.\nAnswer: -0.1, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 7 = 3*d. Let h = 13 - d. Let q(c) = -c**3 + 5*c**2 + 5*c + 7. What is q(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -40 - -20?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1593*h + 1579*h + 28495 + 16517 = -579*h for h.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*i = -5*i + 5, 136*i + 71 - 225 = -0*c - 5*c + 37*i for c.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/36*1*6000\/(-1500)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 361551?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13464, -53856, -121176, -215430, -336624, -484764, -659856?\nAnswer: -861906","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2232869 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (27\/33 + 76\/418)\/((-4)\/268). Do a and -70 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 5*i = -202, -b + 3*i + 65 + 38 = 0. Calculate the highest common divisor of b and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the third derivative of h**4\/12 - 9*h**3\/2 - 38*h**2. Calculate d(15).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*(5\/30)\/(-1)*14\/5152*16.\nAnswer: -2\/69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -2*y**3 + 22*y**2 - 33*y - 5. Let x be c(8). Suppose 116*n = x*n. Suppose 0 + 2\/9*q**2 + 2\/9*q**3 + n*q = 0. What is q?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2407 + -1456. Solve 966*k**4 + 20*k - k**2 + k**2 - u*k**4 - 35*k**3 = 0.\nAnswer: -2\/3, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(-5*(2 + -2*sqrt(304)*6) + 0) + -5)*6)**2.\nAnswer: -86400*sqrt(19) + 39399300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 266039 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -2*j**2 - 2*j + 579. Let s(g) = 4*g**2 + 6*g - 1145. Let n(t) = -9*m(t) - 4*s(t). Let k(h) = -2*h**2. Determine n(k(q)).\nAnswer: 8*q**4 + 12*q**2 - 631","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 3 = -7*q. Let d(r) = r - 1. Let m be d(5). Suppose 3 = -m*k + 19. Sort 0, q, k in increasing order.\nAnswer: q, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -92 + 154. Suppose -4*q + 77 = -3*o - 0*q, q = 5*o + 134. Let k = -11 - o. Calculate the remainder when m is divided by k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.2 from 585.6.\nAnswer: 585.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 - -10. Let z be (21 + -1)*x\/20. Solve -2*c - 2 + z = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 2*y**3 - 81*y**2 + 55*y + 114. Let m be f(40). What is the highest common divisor of m and 1632?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5811\/21 - (-2)\/7?\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2990, -4065, -5146, -6239, -7350, -8485?\nAnswer: -9650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/4 - 21\/(-12). Let u be 12*((-21)\/(-9) - d). Find the second derivative of -5*o + 0*o**u + 3*o - o**4 wrt o.\nAnswer: -12*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-8)\/190)\/((-2)\/(-5)). Let z = -4422 + 4421.5. Which is the closest to 0? (a) -5 (b) z (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*q**2*t**2 + 7*q**2*t + 825*q*t**2 + 36*t**2 + 11512*t + 20 wrt t?\nAnswer: -4*q**2 + 1650*q + 72","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h = -5*p - 5, -2*h - 2 = p - 8 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(-7))**(-35)*i**28*i**(-3\/20) assuming i is positive.\nAnswer: i**(4757\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2196 divided by -122.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 227.29 - 233.29. Which is the third biggest value? (a) -3.6 (b) t (c) -1.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 11 - (-3)\/((-6)\/2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -437, -58, -5, 1, 5 in increasing order.\nAnswer: -437, -58, -5, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 8 + -3 + 10 + -30\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 29377.4607s in weeks?\nAnswer: 0.04857384375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and 1844.3?\nAnswer: 737.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3460 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/119*(-1353200)\/(-31840).\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is seven thirds of a day in hours?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/(-6)*(6 - (1 - -2)). What is the second derivative of 1857 - 5*t**2 + 87*t**4 - 1856 + 5*t**a + 32*t wrt t?\nAnswer: 1044*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -137616 and 3.\nAnswer: -137613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 488 divided by 122.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -99f860 + -1c?\nAnswer: -99f87c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 775223 + -775226.99877. Let s = i - -4. What is s rounded to four dps?\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 444300 and 444300.\nAnswer: 444300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -38 + 54. Suppose 4*z - 5*z + 3*m = 0, 4*z - d = -4*m. Let f(h) = 4*h - 4. Give f(z).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 543131, 542147, 541163, 540179, 539195, 538211?\n\"Answer: -984*g + 544115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 860658 is divided by 1359?\nAnswer: 411","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 97 + -106 + 14*514?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 4 + 2*p**3 + 10*p**2 - 2\/3*p**4 + 34\/3*p = 0.\nAnswer: -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 138552830?\nAnswer: 2, 5, 13, 1065791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 1 + 3)*(-u**3 - 3*u**3 + 3*u**3) - 53*u**3 + 27*u**3 + 16*u**3.\nAnswer: -8*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 10\/(-15)*(-21)\/98\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3204 by -6.\nAnswer: 534","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 2 a when four letters picked without replacement from {s: 7, n: 5, a: 4}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17 + -10. Let w = n - -33. Suppose -4*s + 17 - 59 = -2*q, 2*q - w = 3*s. Solve -2*o + q = 5*c, -2*o = -2*c - 3*o + 6 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/15 and -34\/161605539?\nAnswer: 808027695","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87*r + 139134 = 13*r - 742266. Are r and 0 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 - -3. Let b(z) = 2*z**2 + 2*z - 2. Let d be b(m). Solve -5*f - 31 = -4*v + 2*v, -4*v = d*f - 2 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-77)\/(-22) + -4)*1284\/(-144) and 2\/6 + (-66)\/20?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let s be 8\/4 - (-107)\/1. Let k = -72 + s. Let g(d) = -d**2 + 26 + 0*d - k - d. Determine g(0).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 2 b when three letters picked without replacement from bssbbbssbbsbbbsbbb.\nAnswer: 33\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 2*y**3 - 5*y**2 + 122*y - 781. Determine b(6).\nAnswer: 203","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.5 (b) -1\/6 (c) -71.5 (d) 0.036\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 60528?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (14 + -20 + (1 - -4))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 2 + 7278*k + 7924*k - 2042*k in the form u*k + z and give u.\nAnswer: 13160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -484, -483, -482, -481, -480, -479?\n\"Answer: b - 485","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 270029 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**2 + 6*s - 9. Suppose -a + 63 = -8*a. What are the prime factors of i(a)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((2\/(-6))\/((-4)\/(-6)))\/1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes after 4:46 AM?\nAnswer: 5:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8339\/9 in -0.11, 0.2, -1\/15?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 106 + -67. Which is bigger: n or 38?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -220*(-29)\/((-290)\/(-12)) is divided by 54.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68) - (sqrt(68) - sqrt(68)*-1)*3)*4)\/(6*sqrt(144)*-1).\nAnswer: 5*sqrt(17)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -k - 0. Let i be 0*k\/(-2)*2. Sort 6, i, 5 in descending order.\nAnswer: 6, 5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 340311168 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**2 + 2*j - 5. Let d be a(-3). Let g(i) = -47*i**3 - i**2 + 3*i + 4. Let q be g(d). Calculate the highest common divisor of q and 148.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 24, -5, -2 in decreasing order.\nAnswer: 24, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 1545?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (6\/5)\/(22\/(-55)). Let r(s) = 5*s - 3. Let d(a) be the third derivative of 0*a + 1\/3*a**3 - 1\/6*a**4 + 0 - 2*a**2. Calculate m*r(l) - 4*d(l).\nAnswer: l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -93\/70 and -57\/35.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -4*h**5 - 12*h**4 + 44*h**3 + 12*h**2 - 40*h = 0.\nAnswer: -5, -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is (-13 + 0)\/(725\/365 + -2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 0 = -3*k + 1, 10 = 5*k + 5*d. Let x = -1 - k. Let v = 6 + x. Solve -3*l - 4*u = -v, -3*l + 2*u - 5 = -21 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7733 - 8183 = -343*x + 337*x for x.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 + 31. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes after 3:44 AM?\nAnswer: 1:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -30 + 18 + 19 + (85\/10)\/(3\/(-30))\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 3*g. Let s(p) = 1. Let y(x) = -l(x) - 4*s(x). Suppose 3*n + 17 = -4*d, -n + 4*d - 8*d = 11. Let z be y(n). Solve -q + 2*q = z for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 46, -3389, 0, 3?\nAnswer: 46","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0931262ml in litres?\nAnswer: 0.0000931262","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -6*h + 84. Suppose 5*r - 3*w - 30 = 9, 5*r = 4*w + h. Suppose 4*m - r*m = -1594. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5401 + -2454342?\nAnswer: -2444541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-41)\/(-18))\/1 + (-2)\/(-9). Let t be (52\/(-26))\/(12\/3)*12\/10. Put t, 1\/59, s in decreasing order.\nAnswer: s, 1\/59, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the first derivative of j**4\/4 - 7*j**3\/3 + 2*j - 1. Let t(u) = u**3 - 6*u**2 + 2. Let w be (18\/207 + 15\/92)*20*-1. Give w*t(k) + 4*g(k).\nAnswer: -k**3 + 2*k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 395*o + 4360. Let h(w) = 2*w. What is h(q(d))?\nAnswer: 790*d + 8720","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 32\/5 of a millennium?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 237659 = 45*x - 150091. Is 15 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 704 is divided by 141.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5875 is divided by 245?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x + 4 + 8. Suppose -5*k + 15 = 0, 3*o + 2 = x*k - 1. Suppose 0 = 2*w + o*w - 8. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 37820, 76153, 114490, 152831, 191176, 229525?\nAnswer: 267878","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 95533?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -5*c**3 - 23*c**2 + 2*c + 6. Let u(x) = -25*x**3 - 116*x**2 + 11*x + 33. Determine 4*u(y) - 22*v(y).\nAnswer: 10*y**3 + 42*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (32\/4*(-4)\/((-108)\/(-189)))\/((-7)\/7)?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 390 - 390.00000591. Round z to six decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10984460 divided by 3578\nAnswer: 3070","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*d**3 - 48015*d**2 + 24015*d**2 + 24000*d**2.\nAnswer: -4*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h - 28410. Let p(d) = 1186*d**2. Give t(p(o)).\nAnswer: 1186*o**2 - 28410","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/3 - (-15)\/5. Let j(b) = 7 + b**o + 3*b - 5*b - 8*b. Determine j(8).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 236\/30 + ((-4)\/(-30) - 0). Suppose -h - 8 = -2*h. Calculate the highest common factor of h and g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - (11 + 0)) + 8 + -2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -40 + -40. Let p be 0 + 176\/5 + 16\/a. Calculate the highest common divisor of p and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 0)*((-54)\/99 + (-82)\/(-110)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -29 or 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-20)\/(-2))\/(6\/69). Suppose -17*c = -1560 + 1169. What is the highest common factor of q and c?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17969, 35930, 53891, 71852?\nAnswer: 89813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43920860*c - 4*c**2 + 73*c**3 + 43920860*c.\nAnswer: 73*c**3 - 4*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -2*l + 10. Suppose l*m - 19 = 111. Is 19 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**2 - 4*y - 1. Let w = 15 + -21. Let m be (-30)\/(-25)*(-20)\/w. Let x be t(m). What is the third biggest value in -1\/3, 0, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 97262870?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0013783 rounded to four dps?\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - (7 - (3 + -9)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -3 (b) -0.4 (c) 2 (d) 18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -135 divided by 27?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.1 + 1.9. What is the biggest value in g, 0.2, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 736053 is divided by 35050.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 91\/182*(0 - -10). Let x be 4\/(-10) - 81\/(-15). Solve -2*s + 0*y - 3 = y, -x*y + v = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 3*m + l - 14, 24 = 2*m + 5*l. Find the second derivative of 2*y - y**5 + 0*y**2 + 0*y**m wrt y.\nAnswer: -20*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1343 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i**2 - 188*i + 1960592 = 0.\nAnswer: -724, 677","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -839872, -839873, -839874, -839875, -839876?\nAnswer: -839877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 197196?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 25*q + 5 - 130. Which is smaller: 7 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-70 - 6) + 136 - 85?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i - 2*d + 3, i + 3*d = 4*i - 9. Solve 5*t - 2*f - 5 = 0, i*f + 1 = 9*t - 8*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 22 + -31. Let l = f + 10. Do 12 and l have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2\/(-5))\/((-7)\/245). Solve -7*x = 7*x - f for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 7*j**3\/4 - 27*j**2\/2 + 17*j + 6 = 0?\nAnswer: -2\/7, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 39774?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.7 + -1. Let m be 4 - 5 - (-3 + 2) - -5. Which is the third smallest value? (a) m (b) -2 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**3 + 17*t**2 + 168*t.\nAnswer: -t*(t - 24)*(t + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/503? (a) -4 (b) 0.2 (c) -5 (d) 25 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from knwuutuku. Give prob of sequence ukw.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1bc9387 + -81?\nAnswer: -1bc9438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -136 + 114. Let h = r + -1. What is the smallest value in 0.5, 3, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-47)\/(-188))\/(1\/1*(-9)\/45)\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 204082 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 174 + 62 = -2*a, -3*p - 79 = -4*a. Let x = -5 + p. Let g = x + 40. Solve -3*m = -4*s + 4 - g, -4*s = -2*m + 4 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**2 - 7*w - 1. Let c be s(-8). Let o(u) = -3*u**2 - 5*u - 2. Let g be o(c). Round g to the nearest one hundred.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ii when two letters picked without replacement from iis?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -5*m + 22. Let j(l) = -l**3 + 6*l**2 - 7*l. Let b be j(m). Suppose g + 422 = 5*f, 2*f - 3*g = -b*g + 179. What are the prime factors of f?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + 1330 = 4*t + 1284, 5*t - 4*a + 51 = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -854331 at least as big as -854439?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the third derivative of 1939*x**6\/120 - x**5\/12 + x**4\/24 - 44*x**3\/3 + 4*x**2 - 711*x - 1. What is the third derivative of o(l) wrt l?\nAnswer: 11634","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2796566930.\nAnswer: 2, 5, 37, 7558289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -602.8 rounded to the nearest 100?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -19? (a) -2029 (b) -6 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1903 and 6293221.\nAnswer: 1903","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 312 and 12846236.\nAnswer: 77077416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - -4) + -64 + 59.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**2 - 11*n + 22. Determine k(5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the first derivative of -q**6\/30 + 4*q**3\/3 - 2*q**2 - 7. Let n(i) be the second derivative of x(i). Find the first derivative of n(d) wrt d.\nAnswer: -12*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -6 + (-3)\/(-3) - -54. What is the greatest common factor of 392 and t?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13251 is divided by (-42)\/(-12)*((-749)\/(-49) - 7).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 536665 (base 7) to base 10\nAnswer: 93637","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r + 1168 = -631. Is r a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -2*r**4\/3 - 8*r**3\/3 + 28*r**2 - 24*r - 54 = 0.\nAnswer: -9, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - 2*h = -2*s - 4, -2*h + 11*h - 7*h - 24 = 15*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7927 a multiple of 68?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**5\/9 + 110*y**4 - 18150*y**3 + 998250*y**2.\nAnswer: -2*y**2*(y - 165)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjgjgjmmzsgizm. What is prob of picking 1 s and 1 g?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put together -32652 and -0.3.\nAnswer: -32652.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -50 - -501\/10. What is the closest to -1 in x, 1\/2, 0.23?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 - (-30 + 8) - 3.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-5))**33\/(j**(2\/11))**(-6) assuming j is positive.\nAnswer: j**(-1803\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/48 and (-1 - (-488)\/622)*(-870)\/15660.\nAnswer: 44784","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**3 + 20*c**2 - 49*c - 27. Let k be t(17). Let p(q) = -2*q + 9. Let m(w) = -4*w + 18. What is k*p(u) - 4*m(u)?\nAnswer: 2*u - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 n when two letters picked without replacement from {n: 2, v: 3, l: 1, h: 1}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 102445?\nAnswer: 5, 7, 2927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r + 3*j + 3091, -3*r + 3*j = -r - 1553. Suppose -5*b - 3854 = -2*y, b + y + r = 2*y. Does 16 divide 14\/(-77) - b\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -235243\/1887 + -1\/629. What is the third biggest value in j, 0.02, 5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the second derivative of l**3\/3 + l. Let h(s) be the first derivative of -s**4\/12 - 4*s + 3. Let o(b) be the first derivative of h(b). Give o(v(m)).\nAnswer: -4*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 210011201 (base 3) in base 9?\nAnswer: 23151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 230\/69 + 4\/6. Suppose -3 - 9 = -t*o. Find the third derivative of o*i**5 + 21*i**2 - 14*i**5 + 4*i**5 - 5*i**5 wrt i.\nAnswer: -720*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -17713.3888 to the nearest 1000.\nAnswer: -18000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:05 AM and 3:28 PM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12854074.\nAnswer: 2, 17, 41, 9221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-770)\/250 + 3)\/(4\/(-20))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes before 8:01 PM?\nAnswer: 8:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**2 - 9*y + 11. Let x(a) = a**3 + 3*a**2 + 2*a - 4. Let h be x(-3). Let n be t(h). Let j(w) = -2*w + 5 - n + 1 + w. What is j(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3615)\/(-482)*16\/(-540)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -7249 + 241*h**2 + 1023*h**2 + 5669*h**2 - 284*h**2 + 3739*h**2 wrt h?\nAnswer: 20776*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 936 a factor of 217184691?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 533953 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**3 - 5*a**2 + 2*a - 5. Let s be k(-6). Suppose -i - 15 = 5*j, 2*i - 7 - s = 4*j. Solve 2*c + i + 3 = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:15 PM and 2:40 AM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7 and 5257.\nAnswer: 5257","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 268204, 1072803, 2413802, 4291195, 6704976, 9655139, 13141678?\nAnswer: 17164587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-76)\/7 + (-6)\/42. Let i = d + 15. Suppose 0 = -i*w - 4*h - 2 + 6, -1 = 4*w + 5*h. Is w a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -791 - z + 791.\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 z when two letters picked without replacement from szs.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**3 + 6*b**2 + 16*b - 42. Calculate q(9).\nAnswer: -141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 44572*v**2 - 2*v**3 + 44547*v**2 + 4.\nAnswer: -2*v**3 - 25*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 less than 719262320?\nAnswer: 719262280","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 43936751?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 239 is divided by 27.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/2406 and 87\/2?\nAnswer: 2406","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/6, -2.4, -1, 0 in decreasing order.\nAnswer: 5\/6, 0, -1, -2.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 139\/435 + 2\/145. Let m = 18 - 17. What is the closest to m in -1, s, -1\/7?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 287 and -2128946.\nAnswer: -2128659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11565510?\nAnswer: 2, 3, 5, 11, 101, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 16*f = -14 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31 = 7*v + 3*o + 18, -v - 7 = -4*o for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.161 + -9.446. Let z = 0.093 - j. What is z rounded to zero dps?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7587832 and 252.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 725, 732, 737, 740, 741, 740?\nAnswer: 737","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 22*s + 1. Let v = 24 - 18. Is b(v) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -225, -362, -461, -534, -593, -650, -717?\nAnswer: -806","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the third derivative of a**7\/350 + a**6\/100 - 3*a**5\/100 - a**4\/5 - 2*a**3\/5 + 32*a**2. Factor z(y).\nAnswer: 3*(y - 2)*(y + 1)**2*(y + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w + 8. Let t be q(0). Let b = t - 4. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10216121 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -6, -10, -14, -18?\n\"Answer: -4*r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j - 4*u - 52387, 12327 = 3*j - 6*u - 19116. Does 67 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 945*q - 617082. Give r(653).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 5*s**4 + 1951130*s**3 - 15609360*s**2 = 0?\nAnswer: -390234, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from emsaeuaz. What is prob of sequence zes?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 + 0)*-4 + 0. Let t(q) = b + q - 4. Let w(l) = -25*l + 12*l + 16*l. Give w(t(h)).\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -3*r**3 + 7*r**2 + 3*r + 1. Let f be m(-5). Let n be f\/184 + 3*-1. What is the third biggest value in -2\/9, n, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4818622 divided by 2409311\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.007037 to four decimal places.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 537446 and 182?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes before 7:59 AM?\nAnswer: 10:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 135*t + 131*t - 22435169 = 27*t. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*i**4 - 256*i**2*r + 71688*r wrt i.\nAnswer: -20*i**3 - 512*i*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 222 times -1243?\nAnswer: -275946","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 2*v**3 - 4*v**2 - 2. Let t be w(3). Let r = t - 11. What is the second derivative of 0*x**r - 2*x**5 - 3*x**5 + x + 3*x**5 wrt x?\nAnswer: -40*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*u + 2*u**2 + 6*u - 5*u**2 as z*u + n + l*u**2 and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -24 divided by -1839\nAnswer: 8\/613","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 685514450?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3386 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 24683 to the nearest integer?\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 26169000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -486 by 9.\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -374 + 380. What is the greatest common factor of f and 81?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 73483387 and 265.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjv when three letters picked without replacement from ejjvevjeevejee?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 2*q = -14. Let n = -5 + q. Suppose -72 = -n*l - 0*l. Does 13 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12147 to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 35*w - 39*w**2 + 38*w**2 - 2*w to the form b*w + r + h*w**2 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -21*p**2 - 11. Let y(m) = 14*m**2 - 48358. Calculate y(b(w)).\nAnswer: 6174*w**4 + 6468*w**2 - 46664","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -224*t - 14657 + 3905 for t.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -2*m. Let s(n) = 43*n**2. Calculate s(r(z)).\nAnswer: 172*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 287*d = 281*d + 12 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64*n + 78*n - 70 = 0. Let t(j) = -j - 6. Let w be t(-6). Suppose w = 2*o + 3*o + 3*g - 576, g - 572 = -n*o. Is o a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-2)\/(-5))\/1)\/(2\/(-30)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11622908 and 16.\nAnswer: 46491632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**2 - 9*i + 4. What is c(-7)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -957*z**4 - 2*z**3 - 57*z**2 - 228081*z wrt z?\nAnswer: -11484*z**2 - 12*z - 114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21107.5 hours to milliseconds.\nAnswer: 75987000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*d - 665189 + 670040 = 0 for d.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -4*l - 32. Let r(z) = -23*z - 192. Let p(m) = 6*n(m) - r(m). Let s(y) = -y**2 - 14*y - 2. Determine 6*p(h) - s(h).\nAnswer: h**2 + 8*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -32*q**5\/3 + 122824304*q**4\/3 + 143295114*q**3 + 437561944*q**2\/3 + 145853990*q\/3 + 5117684 = 0.\nAnswer: -2, -1, -1\/4, 3838263","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p + 34. Suppose c + 3*z + 2 = -7, 2*z = 2*c - 6. Let o be k(c). Suppose o = 3*x - 50. List the prime factors of x.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.5 (b) 12 (c) -6359 (d) -5 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.03 and -19011278653.1.\nAnswer: -19011278653.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -7434 at most as big as 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*n + 65 - 237 = 54*n. Let s(h) = -23*h**2 - 2*h - 3. What is s(n)?\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 3*b - 5 = 24, 2*w + 7 = 5*b. Suppose w*u + 0 = -o + 9, -o - u + 3 = 0. Is o greater than 2\/23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1132 - 280?\nAnswer: -1412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7135 - 42809\/6. Let p(w) be the second derivative of 18*w + 0 - g*w**3 + 1\/12*w**4 - 1\/2*w**2. Calculate p(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 110377 divided by 23\nAnswer: 4799","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**3 - 8*t**2 + t + 1. Let b be r(8). Let p(i) = -i**3 + 10*i**2 - 7*i - 4. Let h be p(b). Suppose -9*j - 3070 = -h*j. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(378)\/(sqrt(81)\/sqrt(9)) + sqrt(42) + sqrt(378)\/(sqrt(9) - 2*sqrt(9)))\/(-2*sqrt(24)\/(-2*sqrt(256) + sqrt(256))).\nAnswer: 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 76 divide 2975606?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 - 11 + 4 - h**3 - 24*h**2 + 3*h**3 to p*h**2 + f + x*h**3 + d*h and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 5*b + 10 = 4*i, 8 = i + 5*b. Suppose 4*k + 3*y - 73 = 0, 0 = k - i*y + 8 - 15. Solve 2*j - a = 4*a + k, 3*j = -2*a + 5 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13799?\nAnswer: 13799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -3410 divided by 5?\nAnswer: -682","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 3*k - 112. Let s be d(-22). Let g = 178 + s. Solve 2 = a - g*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/12*8*-1*1. Suppose -i*x + 44 = -296. Let h = 90 - x. Solve -4*j + 3 + h = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-292)\/36 - -4)\/2 and -101\/36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19086 + 25024 = 3*m - 4*s, 5*s = -4*m + 58772. What is the hundreds digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 3*w + 317 = 0, 0 = 2*p - 4*w - 4 - 128. Let t(j) = j**2 + 9*j - 9. Calculate the remainder when p is divided by t(-11).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*n**41*(n**37\/n)\/n*n assuming n is positive.\nAnswer: n**78","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 2241*l + 2. Let y(k) = 24561*k. Calculate y(d(s)).\nAnswer: 55041201*s + 49122","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -31942697, -31942695, -31942693, -31942691, -31942689?\n\"Answer: 2*h - 31942699","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 + -1. What is the first derivative of 3*g**4 + 0*g**2 - 7 + 0*g**x + 4 wrt g?\nAnswer: 12*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 16*z - 221. Let t be p(15). Sort -3, t, 7.\nAnswer: -3, 7, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/27 + 20\/(-9). Let i = o + 14. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 + 60 = 8*t. Let x(k) = -k**3 + 7*k**2 - 10*k + 27. Let s be x(t). Solve 0 = -n + p - s + 2, -4*n = p - 16 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8044, -15154, -21162, -25516, -27664?\nAnswer: -27054","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 14*a**2 - a + 6. Let c be r(3). Suppose -5*l = o - 5*o - 2, 2*o = -4*l + 12. Suppose -c = -o*x + 61. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3718)\/39*3\/(-2). Let h = y + -104. Suppose 45 = 3*n - h. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-15)\/20 + (-15)\/(-4). Let r be 2*-1 - -2*2. Suppose -a*s + 20 = r*s. Is 4 < s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*c - 4*h, 5*c + 2*h = -9 - 12 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rpr when three letters picked without replacement from ropopopopr.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.019784435 to 5 dps.\nAnswer: -0.01978","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62420 is divided by 449.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 164565963, 329131925, 493697887?\nAnswer: 658263849","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 4*d**3 + 2*d - 2 + 2*d**3 to the form f*d + c*d**2 + x*d**3 + b and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.15*5\nAnswer: 0.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 78*w - 155*w + 81*w.\nAnswer: 4*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-29)\/((-71253)\/(-168)) + (-4)\/26.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75*d - 109*d = -3680. Calculate the least common multiple of d and 4770.\nAnswer: 9540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 + k + (0 - 1 + 3)*(-9*k - 22 - 31 + 54).\nAnswer: -17*k + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**4)**(-4) assuming f is positive.\nAnswer: f**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 129 - 129.0000683. Round f to six decimal places.\nAnswer: -0.000068","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**3 + 28*i**2 - 95*i - 115. What is the remainder when z(19) is divided by 70?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6*220\/(-180))\/(5\/((-45)\/(-2)))\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -470.886 - 0.114. Let z = -471.00211 - a. Round z to three decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a + 1 - 1)*(-2 + 4 + 1) + 3 - 3 - 2*a.\nAnswer: 4*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/((-12)\/(-4)))\/((-2)\/(-12)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 26*l**2*y**2 - l**2 + 6*l*y**3 + 8*l*z - 32*y**3 - 14*z with respect to l.\nAnswer: 52*l*y**2 - 2*l + 6*y**3 + 8*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 58341155?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 75133 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o - 4*o - 2*o)*(1 - 1 - 3 - 3*o).\nAnswer: 18*o**2 + 18*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = 2*i - 3*i + 148, 662 = 4*i + 2*j. Suppose -5*s - z + i = 0, s - 2*z - 58 = -s. Solve 0 = 5*l + 7 - s for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.4 (b) 0.17 (c) 4 (d) -2\/15 (e) 96\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28 - 31 - (-1 - -5 - 4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/1744033 at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -311 (base 5) in base 15?\nAnswer: -56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-8) + 2\/(-8). Suppose x*c - 3*c + 2*u = 4, -c = 5*u - 10. Suppose 0 = 2*v - c*v. Solve n + n = v for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 4*h - 23. Let v(z) = -z**2 + 10*z - 7. Let j be v(h). Calculate the greatest common divisor of j and 81.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -113? (a) -1\/80 (b) -4 (c) -0.2 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.5 - 3. Let v = 29\/6 + -149\/30. Let f = -2\/225 + -71\/450. Which is the nearest to 0? (a) d (b) v (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -2*q. Let u be 5 - (-3)\/((-4)\/4). Let j(l) = 2*l**2 - 3*l**u + 5*l**2. Calculate j(h(f)).\nAnswer: 16*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.09 or -24?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 55, 143, 239, 343, 455, 575?\nAnswer: 703","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and -14\/85 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 8\/44 - 69023\/(-253). Calculate the greatest common factor of c and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**2. Let l(h) = 8*h**2 - 5. Give -l(b) + 4*m(b).\nAnswer: -4*b**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from vvvv.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 + 34 = 13*t. Let a be (-2)\/((-40)\/170)*-2. Put a, t, 2 in increasing order.\nAnswer: a, 2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2420111 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.3 - -0.2. Let d be (-753)\/93 - -4 - -4. Let u = -29\/341 + d. What is the second biggest value in u, v, 5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1005*o**2 + 204*o + 150*o - 1004*o**2 + 292*o in the form p*o + n*o**2 + x and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 178186, 178139, 178064, 177961?\nAnswer: 177830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from {b: 2, t: 4}.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*h + 101*h = 1920. Solve 0 = 21*v - h*v + 12 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -11*i**2 + 3*i. Let r be k(1). List the prime factors of r\/(-14)*5\/(50\/35).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 + -14041002?\nAnswer: -14041001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14923785?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let n be 8\/(-45) + (-4)\/(-10). Let r = -2 - -7. Which is the closest to -1? (a) 4 (b) n (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1795587, -3591181, -5386775, -7182369?\nAnswer: -8977963","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 5*t - 94 = 3*t, -t + 89 = 3*k. Suppose 2*v = 3*f - k, -2*f - 2*v + 32 = f. Let u = 15 - f. Solve 0*w = -w + u for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 29782269 and 629255.\nAnswer: 7403","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5401980 or 5401982?\nAnswer: 5401982","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1092 (base 14) in base 12?\nAnswer: 17b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 7\/(-14)*(-6)\/(-1). Let o(d) = d**3 + 4*d**2 - d. Let h be o(g). Calculate the highest common divisor of h and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -420 + 457. Suppose -20*z = -q*z. Solve 5*d + 2*d + 14 = z for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -39, -159, -357, -633, -987?\nAnswer: -1419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1757291 to the nearest integer?\nAnswer: 1326","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**3 + 10*w**2 + 9*w + 10. Let u = -13 - -4. What is the tens digit of n(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.4 + 1.6. Let h be 2*(5\/4)\/((-7)\/(-14)). What is the nearest to p in 0.5, h, -3\/2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/7 + (-1480)\/4788. Let g = -8643.1 + 8643. Is x at least g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 183 + 112694\/(-670) + 12\/10 + 0?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 133\/440 and -61\/1320.\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 - 3. Let s be (-6)\/9*f\/2. Let j be (s - 3) + (1 - -9100001). What is j rounded to the nearest 1000000?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*a - 2*a - 4*a + 0*a - 6*a + 2*a + (-1 - 2*a + 1)*(4 - 2 - 1).\nAnswer: -7*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 5\/4, -5, -94 in descending order.\nAnswer: 5\/4, -4, -5, -94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**5*t\/((t*t*t**(2\/11)*t*t)\/t*t))**12\/(((t\/((t\/((t\/((t**(2\/3)*t)\/t))\/t*t))\/t)*t)\/t)**(-9)\/(t\/t**1*t**(-2\/5)\/t)) assuming t is positive.\nAnswer: t**(1783\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 8*b + 7. Let n = 129 - 112. Let s(g) = 23*g + 20. What is n*v(j) - 6*s(j)?\nAnswer: -2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -3) + (-20 - (-25 - 1))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 4*r - 2. Let s be h(5). What is the greatest common factor of 6 and s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1251.9999861 + -1252. Round r to 6 decimal places.\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from evaaaaaeeavvvaeaa. Give prob of picking 2 v.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n + 3. Suppose 6*k = 5*k + 4. Let g be 2\/1*(-4)\/(-8). Let w(v) be the first derivative of -v**2\/2 - v + 31703. Determine g*c(o) + k*w(o).\nAnswer: -3*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 17460 a multiple of 180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-20)\/(((c\/(c*c\/(c\/c**(7\/3)*c))*c)\/c)\/c) assuming c is positive.\nAnswer: c**(-53\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 638020?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**3 + 2*z**2 + 3*z - 3. Let s be q(-5). Let k = 369 + s. Let m = k - 127. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 16 and 232613.26381163.\nAnswer: 232629.26381163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 + 306145?\nAnswer: 306150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from jjuujjuyjjjy?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -269 + 272. Let -8\/5*u**4 - 4\/5*u**2 + 0*u + 2*u**c + 2\/5*u**5 + 0 = 0. Calculate u.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-3)*((-4)\/70)\/(-44*(-130)\/1650).\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 129*n**3*t - 419*n**3 wrt t?\nAnswer: 129*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:29 AM and 10:47 AM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -65483, -65475, -65463, -65447, -65427?\n\"Answer: 2*y**2 + 2*y - 65487","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 70469 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18, 20, 32, 60, 110, 188?\nAnswer: 300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3431*r**6 - 23*r**2 - 3476*r**6 - 10*r**2 wrt r.\nAnswer: -5400*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47.85785 nanograms in grams?\nAnswer: 0.00000004785785","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -271, -2, -14.75, 0.01?\nAnswer: -14.75","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*a**4 + a**4 + a**4 + (-32*a - 106*a - 5*a)*(0*a**2 + 2*a**3 + 0*a**2).\nAnswer: -284*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**3 + 3*h**2 - h + 4. Let u(v) = 2*v**3 - 7*v**2 + 2*v - 9. What is -2*u(w) - 5*x(w)?\nAnswer: w**3 - w**2 + w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69*d = -5*k - 67*d + 7826, -7836 = -5*k - 3*d. Is k a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(-3\/4))**(14\/13)\/(f*f\/(f\/(f**2*f))*f)**(-33) assuming f is positive.\nAnswer: f**(4297\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 5*a**3 - a**2 - 1. Let s be l(2). Let f be (-14)\/(-6) - 2\/6. What is the second derivative of 1 - 2*k - s*k**2 + 32*k**f - 1 wrt k?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -105189961\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**4 - 12*f**3 + 75*f**2 + 182*f + 96.\nAnswer: -(f - 6)*(f + 1)**2*(f + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -28 by 13.\nAnswer: -28\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 20 - 20. Suppose 0 = j - 3 - h. Solve j*l - l = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 4*z**4\/5 + 12*z**3\/5 - 4*z**2\/5 - 12*z\/5 = 0.\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -948 + 947.94. Which is greater: m or 0.059?\nAnswer: 0.059","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81838 is divided by 110.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -327.02 + 327. Which is the nearest to j? (a) 3\/7 (b) 1 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -24.64484 at least -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 2628*x + 178887. Calculate n(-68).\nAnswer: 183","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes before 6:54 PM?\nAnswer: 12:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*-2*((sqrt(121) + -3*sqrt(121) - sqrt(121)) + sqrt(121) - sqrt(121))*-1)\/(sqrt(44) - sqrt(396) - (sqrt(11) - sqrt(99)*-6)))**2.\nAnswer: 1584\/529","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1714156 or -1714158?\nAnswer: -1714158","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-7) + 582\/21. Suppose -9*g = -0 - 0. Suppose -s - s + j = g. Does 2 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -h**3*o**2 - 75*h**3 - 84*h**2*o**3 - 3*h wrt o?\nAnswer: -2*h**3*o - 252*h**2*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -7*q + 67. Let f(v) = v**3 + 2*v**2 - 2*v - 1. Let x be f(-3). Let m = q - x. What are the prime factors of m?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the first derivative of 1181*l**2\/2 - 4637*l + 5987. What is the first derivative of r(c) wrt c?\nAnswer: 1181","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -124 + 90. Let b = k + 94. What is the derivative of -86 - 9*q + 106 - b wrt q?\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4058 + -4051. Let p(r) = -30*r**3 - 7. Let b(y) = 10*y**3 + 2. Give a*b(m) + 2*p(m).\nAnswer: 10*m**3","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -531797 + -0.4.\nAnswer: -531797.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*a = 63 - 39 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 60 + -20. Suppose -x - s = -2*d + x, 2*x = 2. Is d a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -17, 4, 7, -384 in ascending order.\nAnswer: -384, -17, -3, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 34*w**3 + w**2 - 2*w + 3. Let s(z) = -z**3 + 2*z - 1. Give -f(k) - 3*s(k).\nAnswer: -31*k**3 - k**2 - 4*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h + 4*i - 20, -h = 4*h + 4*i - 25. Put h, 3, -2\/3 in descending order.\nAnswer: h, 3, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6232750 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: Solve y + 2*u - 4 = 0, -139*y + 3*u + 8 = -144*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -50 - -72. Let r(o) = -o + 25. Let h be r(u). Differentiate -4*y**3 + 3*y**3 + 5 + 0*y**3 + 4*y**h with respect to y.\nAnswer: 9*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 19.9 - 20.1. Let p = -1.63 - -1.63. What is the third smallest value in v, 2\/21, p?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14 and 3038?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 389767697?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 181*c + 1024 + 1597 = 50*c + 918 for c.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 1\/2 (b) -2\/55 (c) 774 (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -a0c009a - -3?\nAnswer: -a0c0097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = 5*w - 4*m + 60, 4*w = 3*m - 48. Let p be (-498)\/8 + (69\/w - -6). What is the tens digit of p\/(-4)*(6 + 0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13045 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5 + (-2 - -2) + 1. Let f = 3 + 1. Suppose w + 0*w - 220 = -f*i, -2*w = -8. Calculate the greatest common divisor of i and q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:47 AM and 12:29 PM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2238 divided by -31.\nAnswer: -2238\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -21868, -21814, -21758, -21700, -21640?\n\"Answer: m**2 + 51*m - 21920","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -51067 divided by 4158.\nAnswer: -51067\/4158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -37*m + 607. Let p be z(17). Let d(g) = g**2 + 19*g - 42. Give d(p).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31463a4 (base 12) in base 15?\nAnswer: c3ab37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d and 1 v when four letters picked without replacement from {v: 6, d: 4}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**3 - 2*f**2 - f - 1. Let u be n(-4). Let i be 142\/7 + (-10)\/u. Let o = -3 + i. Is o a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(7) + -2 + -4 + -4.\nAnswer: -10 + sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the third derivative of w**3\/3 - 62*w**2. Let y(s) = s - 4. Calculate -3*i(k) - 2*y(k).\nAnswer: -2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, h: 1, t: 1, l: 1, o: 1}. What is prob of sequence otb?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 668964736?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -50776 (base 8) to base 10\nAnswer: -20990","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 34260*r**4 + 5*r**3 - 5*r + 5174609 wrt r?\nAnswer: 137040*r**3 + 15*r**2 - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/3 bigger than 106?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5.1 - 0.1. Suppose -44 = -4*x + 12. Let g be -6*(13\/x - 1). Which is the third biggest value? (a) k (b) g (c) -2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8959*2372\nAnswer: -21250748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-7 + (-308)\/(-35))*20\/12. Suppose -4*t + 5*t - 146 = 0. Calculate the remainder when t\/x - 2\/(-6) is divided by 28.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3 + -3)\/2*(-7823)\/(-3). Let q = v + 11974. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 63 and 639?\nAnswer: 4473","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 852719\/354 + -4817\/2. Which is greater: -1 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*m - 25*k + 27*k, m + 0*m = -0*m + 3*k for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 7*r**2 - 57*r + 16. Determine k(4).\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*t + 118 = -9296*j + 9292*j, 0 = 2*j - 5*t + 19 for j.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/(s\/(s\/s**(1\/5)))*s\/((s*s**(20\/9)*s*s)\/s) assuming s is positive.\nAnswer: s**(-109\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**3 + 4*a**2 + a. Let s be x(-3). Suppose 4*o + s*v - 16 = 2*v, -4*o + 2*v = -4. Is (o*2)\/((-26)\/(-65)) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 m when two letters picked without replacement from aaddpm.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -198382, -396765, -595148, -793531?\nAnswer: -991914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 225709?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 31142 and 1389204.\nAnswer: 31951692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11*g**3*j**2 - 8215584*g**3 + 14595442*j**2 + 27*j wrt j?\nAnswer: -22*g**3 + 29190884","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -50acb (base 14) to base 7.\nAnswer: -1436144","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Sort -125572, -3, 0 in decreasing order.\nAnswer: 0, -3, -125572","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**3 + i**2 - i + 8. Let t be f(0). Suppose -t*g + 95 = -33. Suppose 0 = -10*k + g*k - 18. Let r(l) = l**2 - 7*l + 3. Calculate r(k).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -211220212211220 (base 3) in base 5?\nAnswer: -11104301404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1723937 rounded to two decimal places?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 + -3. Suppose t = b + 3*b. Let q(m) = -m**3 - m**2 - m + 2. Let r be q(b). Solve v - r = -4 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the second derivative of 7783*i**5\/20 - 2*i**4\/3 - 3*i**3\/2 - 51*i**2 + i + 42. Let s be z(-7). What is s rounded to the nearest 100000?\nAnswer: -2700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-33)\/((-6)\/8*66\/99). What is the highest common factor of 418 and i?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -357? (a) -0.5 (b) 4 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5331466 + 0?\nAnswer: 5331466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j + 17 = -2*j + 974*i - 1005*i, 5*j + 36 = 11*i - 12*i for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2)*(-y + 8*y - 3*y)*(5*y**2 - 3*y**2 - y**2).\nAnswer: 8*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o + 4. Let c be j(4). Suppose c = 5*p + 11 - 6. Let h = p - -18. List the prime factors of h.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11027 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the third derivative of 26*h**5\/15 + 3*h**4\/2 + 55*h**2. Find the second derivative of k(l) wrt l.\nAnswer: 208","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8 + ((-44)\/(-36) - (-8)\/(-36)). Suppose 10*f - 18 = w*f. What is the greatest common divisor of 144 and f?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/4 of a day?\nAnswer: 21600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 36.75 + -41. Let x = a + 0.35. Let d = -3.959 - x. What is d rounded to two decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -14*j + 2589. Calculate the remainder when l(105) is divided by 40.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p - 30. Let f(j) = j - 18. Let z(w) = 5*f(w) - 3*m(w). Let r(n) be the first derivative of n**3\/3 + 3*n - 2. Determine r(z(o)).\nAnswer: 4*o**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 35137*o + 246494. What is s(-7)?\nAnswer: 535","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.046 + 1.046. Which is bigger: c or 0.8?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -130377*b. Let d(c) = c**2. Determine f(d(j)).\nAnswer: -130377*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -270127 - -270130. Solve 3\/4*a**n + 81\/2 + 135\/4*a + 9*a**2 = 0.\nAnswer: -6, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 214*f - 119*f + 126*f.\nAnswer: 221*f + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ircpphpiciipihphi. Give prob of picking 1 i and 1 r.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:55 PM and 1:09 AM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 7270*-392\nAnswer: -2849840","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17402*h**3 + 17368*h**3 - 34766*h**3.\nAnswer: 4*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u - 3 + 6. What are the prime factors of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b = 5*q, 3 = -4*q + 313*b - 314*b for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 2*p + 66. Let n = 45 + p. What is the remainder when n is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1, -4, 1842, -1 in decreasing order.\nAnswer: 1842, 4, 1, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 4*t - 2*h, -2*t + 5*h - 8*h - 37 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 180813767 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -90341 - -6.\nAnswer: -90335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z + 0 = -5 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1128884.\nAnswer: 2, 282221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*(-9)\/252*-84 + 1150\/(-96).\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Put -2, -4, -3634 in decreasing order.\nAnswer: -2, -4, -3634","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 26.2 - 26. What is the nearest to l in 0.1, -3\/5, -0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5, 4, 170 in decreasing order.\nAnswer: 170, 4, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12 - -40. What is the highest common divisor of 252 and t?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -97863516*o + 25405854 wrt o.\nAnswer: -97863516","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44 = -5*q - j - 54, 50 = -5*q + 3*j for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -2*o**2 - 31*o + 210. Determine s(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 - -7. Let h = 35\/279 - -3\/31. Which is the third smallest value? (a) h (b) -0.06 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccclllecclc. Give prob of sequence cclc.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 114 + -714?\nAnswer: -600","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 2*d**2 + 2*d - 2. Let b(n) = -2*n + 2. Let v be b(2). Let a be m(v). Let t(k) = 4100000*k. Let h be t(a). Round h to the nearest 1000000.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 135 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -20*l - 1. Let c(n) = -18*n - 9. Let u(t) = 37*t + 20. Let r(v) = 13*c(v) + 6*u(v). Give r(a(m)).\nAnswer: 240*m + 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 551*c**3*j**2 + 4*c**2*j**2 + 119*c**2 - 4*c*j**2 + 9*j**2 wrt c?\nAnswer: 3306*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 - -11. Let i(b) = b**3 - 14*b**2 + 14*b - 8. Let s be i(13). Let c = v - s. What is the highest common divisor of c and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 188563 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/8*6\/9. Which is the nearest to 0? (a) 3\/2 (b) -2 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21669250 - 2421712?\nAnswer: -24090962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 702585 and 1143?\nAnswer: 89228295","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1834411 and 10603?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 333d5 (base 15) to base 7.\nAnswer: 1245566","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 205 is divided by 111?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the second derivative of -r**4\/12 + r**3\/2 + 17*r**2\/2 + 609*r. Determine h(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**2 + 28*s - 46. Let k be w(-13). Let i = -240 - k. Which is bigger: 3\/65 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3443 = -16*p + 3523. What is the remainder when 302 is divided by p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -168e1 (base 15) in base 5?\nAnswer: -4313021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -69*b**3 + 24*b**2 + b + 4. Give v(2).\nAnswer: -450","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 5*l - 18, -l - 4*r + 2*r = 2. Suppose -7*o - l = -37. Suppose -o*h - 52 - 23 = 0. Is -17 at least as big as h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/(-8)*2 + -2. Let v(j) = j. Let m(i) = 5*i - 2. Give g*m(u) + 4*v(u).\nAnswer: -u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -1086*p - 114025. Give j(-105).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the first derivative of i**3\/3 + 13*i**2\/2 + 16*i + 192. Calculate k(-12).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.10195+-4\nAnswer: -3.89805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*r - 16 = 2*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*o**2 - 26662 + 5*o**4 + 395*o**3 + 26662 in the form r*o**4 + q + l*o**3 + a*o**2 + w*o and give r.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -6*d - 3. What is the units digit of l(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -38\/5 in 2\/3, -2\/15, -0.2, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9, -24, -43, -60, -69, -64, -39, 12?\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2737, 11800, 26863, 47920, 74965, 107992, 146995, 191968?\nAnswer: 242905","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 184434?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/7*y**2 + 18\/7 - 12\/7*y.\nAnswer: 2*(y - 3)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2150316 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 329749 and 7709653.\nAnswer: 2023","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 3060, 2, -1 in decreasing order.\nAnswer: 3060, 2, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 2053*q + 172466. Determine r(-84).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - 697.799.\nAnswer: -695.799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 195\/130 - (-23)\/(-18).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 - 4 + 3)*(0 - 2 + 0) - 7 - 53 + 13)*(g - 12*g + 3*g).\nAnswer: 344*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(336) + sqrt(21)) - (sqrt(21) + (sqrt(84) - sqrt(21))*-6))\/(sqrt(21)\/sqrt(3)*4 + (-2*sqrt(567) - sqrt(7) - sqrt(7))).\nAnswer: 25*sqrt(3)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1088, 1352, 1616, 1880, 2144?\n\"Answer: 264*l + 824","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -1352*q - 94670. Determine d(-70).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l**2\/5 + 108*l + 1638\/5 = 0.\nAnswer: -3, 273","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68*n = 73*n - 60. Suppose 13*x - 10*x - n = 0. Suppose 0 = 4*a - 3*d - 761, 4*d - 990 = -a - x*a. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 48\/35, 1036, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4, 1, -99, 2, -12, -4 in ascending order.\nAnswer: -99, -12, -4, 1, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 686610.\nAnswer: 2, 3, 5, 2543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 244 = -5*k, 153*y = 155*y - 3*k - 212. What is the highest common factor of 48 and y?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2806097157 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -199 - 2*j**3 + 2*j**3 + 2*j**3 + 2*j**3.\nAnswer: 4*j**3 - 199","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -53.63981 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 25507384 to the power of 1\/4, to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -42.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (17 - 49 - -17) + -28?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 252\/(-525)*(-14)\/((-672)\/(-80))?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 at most 268?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 905 = -2*p, 3*j + 1750 - 382 = -3*p. Let f = 934 + p. Is f a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*x**2 + 0*x**2 + 8*x**3 - 4*x**2.\nAnswer: 8*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:45 PM and 7:53 PM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**2 - 6*n + 38. Let i(a) = a**2 + 6*a - 39. Let s(x) = -3*i(x) - 4*p(x). List the prime factors of s(17).\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 144330096563 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (13*i - 11*i + 74*i**2 + 56*i**2)*(-9*i + 10*i + 4*i) in the form h*i**3 + l*i**2 + n + q*i and give h.\nAnswer: 650","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00012858224 rounded to 5 decimal places?\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 65646270?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u**2 + 8 - 5*u**2 - 20)*(-2*u + 2*u + 2*u**2).\nAnswer: -10*u**4 - 24*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*s**3 + 3*s**2 - 617*s + 636*s - 26 - 5*s**2 + 2*s**4 to the form c*s**3 + l*s + w*s**2 + i*s**4 + h and give l.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8806?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 1 = -5. Let n be 100\/(-15) - 4\/s. Let a be 14*1*3\/(-6). Is n at most as big as a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -12 and 4.253?\nAnswer: -51.036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -22429 + 22422.4931. Round f to 1 decimal place.\nAnswer: -6.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.6 + 3. Let t = -108\/907 - 796907\/18140. Let j = 173\/4 + t. Put -1, a, j in decreasing order.\nAnswer: a, j, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -242, -824, -1794, -3152?\n\"Answer: -194*f**2 - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 6*z**3 - z**2 + 13*z. Calculate i(4).\nAnswer: 420","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 557780 + 679*b + 5*b**2 + 1047*b - 254*b - 226*b + 2094*b.\nAnswer: 5*(b + 334)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4996 * -101974.\nAnswer: 509462104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 3233 = -3487. Is o a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15 + 15. Solve -4*r = 5*s - 17, 4*r + q*r = -s + 13 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3594138 to the nearest integer?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 663 + -664. Is 197 less than or equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -107 - -141. Calculate the least common multiple of o and 5.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(1\/4))\/u*u*u)**(10\/7)\/(u*u**(-1\/5)*u*u*u*u\/(u\/u**(-3\/7)))*(u**8\/(u\/((u**8*u*u)\/u)))\/(u*((u\/u**(1\/3))\/u)\/u*u)**(-15\/8) assuming u is positive.\nAnswer: u**(2393\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve w + 32778 = -3*f + 32777, 3*w + 15 = -5*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 130173 is divided by 3892?\nAnswer: 1737","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -49, 4, -1?\nAnswer: -49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*x - 1456 - 54. Is 41 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 - 2. Let r be (-14)\/t - 38\/95. Calculate the remainder when 73 is divided by 22 + (0 + r - 4).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1*(-3 - (0 - 3)). Suppose u = 3*t + t. Let 26*a - 4*a**4 - 24*a - 2*a**5 + t*a**4 + 4*a**2 = 0. What is a?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 31\/5 of a millennium?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.16? (a) -5\/3 (b) -62 (c) -3\/7 (d) -18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-3\/8)*d*d**(1\/4))\/(d*d**(-1\/3))**(-4))\/(d**(-4\/5)\/d**(-1\/3)*(d**(2\/7)\/d)\/d**6) assuming d is positive.\nAnswer: d**(9007\/840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, f: 1, w: 2, e: 6}. Give prob of sequence hf.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in eight fifteenths of a day?\nAnswer: 768","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.349439 weeks to days.\nAnswer: 44.446073","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 2*d - 14. Let s be j(7). Suppose s = 6*h - 48 + 42. Solve -2*l = 2*i - 6, 0 = -4*i - 5*l + 14 + h for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -43.8 - 67.2. Sort 0.3, -0.5, r.\nAnswer: r, -0.5, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 2 = 14. Let n be (-9)\/j*(-1)\/3. Let f be ((-6)\/(-21))\/((-372)\/(-1953)). What is the smallest value in f, n, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 510832 + -5?\nAnswer: 510827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -68*(630\/(-1800) + (-6)\/(-10)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.004577255 to six decimal places.\nAnswer: -0.004577","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 83279\/12 + -6946. Calculate the common denominator of ((-4)\/144)\/(3\/(-11)) and s.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from ybzzczyzyylzg.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6269, 12448, 18627, 24806, 30985, 37164?\nAnswer: 43343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-48)\/30*(-10)\/4. Suppose 0 = -4*g + c*j, -2*g + 2*j + 25 = -5*g. Let a = g + 29. What is the remainder when a is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -53*z + 675. Let h be i(11). Solve 91*j - h*j - 2 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13\/2 or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -2*z + 2*a + 46, 3*a = z - 24. Let v = z + -13. Suppose 2*r - 6 = -v*h, h + 2*r - 10 = 6*r. Solve j = 1 + h for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.62 * -0.3.\nAnswer: -1.086","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 33\/4 + 9\/(-36). What is the greatest common factor of v and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**2 + 3*s + 5. Suppose 2*m - 3*h + 9 = 0, 29 = -5*m + 3*h - 2*h. Let q be b(m). Solve -3*t = 2*w + q, -w + t - 15 = 4*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 + -1)\/(2\/8). Suppose -114 = -7*o + h*o. Suppose -o = -3*b + 52. Is 8 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.3 - 1.7. Suppose -i = i - x, 0 = i + 4*x. Let r = -2.169 - 1.831. Which is the third smallest value? (a) r (b) i (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1489600 rounded to the nearest one hundred thousand?\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 7, r: 8, z: 2, s: 1, p: 2}. Give prob of picking 1 z and 1 p.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 29408, 29649, 29902, 30167, 30444, 30733, 31034?\nAnswer: 31347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 2*q - 52958 = q, 4*q - 52952 = -4*g. Suppose -g = -4*x - 4*x. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 18.00029 - 18. What is i rounded to 4 dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-252)\/(-135) - 6\/(-45). Suppose -3*p = p. Suppose 8*h - 4*h = 0. Solve h*i + q*i + 10 = p for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x - 1 = -f, 20*x - 19 = 4*f - 79 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (228\/16)\/(15\/80). What is the greatest common factor of h and 114?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -116.71 + -0.29. Let n = f - -212. Let j = n + -94.4. Which is smaller: 0.2 or j?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/7*f**2 + 0 - 96\/7*f.\nAnswer: -4*f*(f + 24)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o**(-22)*o))\/o**(-9\/5)*o**(2\/31)*o\/o**(-3)*o assuming o is positive.\nAnswer: o**(4474\/155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -283*u - 1310 = -281*u. Round u to the nearest one hundred.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2722065 and 18?\nAnswer: 16332390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 19 - 7. Let b = i + 3. Is b a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 56, 777, 2742, 6575, 12900, 22341?\n\"Answer: 104*k**3 - 2*k**2 - k - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14 - 9. Suppose 0 = -3*u - 0*u + g*i - 14, 3*i = 4*u + 4. Let r(a) = a**3 - a**2 - a. What is r(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 + 1. Let i be 7\/((-294)\/54) + 1. Put i, -2, j in descending order.\nAnswer: j, i, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**2 - 45*d + 8. Let i(a) = -2*a**2 + 65*a - 12. Let y(j) = 5*i(j) + 8*r(j). Determine y(-17).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 44*z + 9*z + 443822. Round z to the nearest one hundred.\nAnswer: -8400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 24 = 5*k, 4*x + 0*k + 16 = 4*k. Let i be (-6)\/(-21) + x + 36\/21. Let l(b) = -8*b. Give l(i).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -8*x**2. Let z = 7 + -5. Let d(r) = z*r - 2*r + r. Determine d(g(m)).\nAnswer: -8*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37341559 is divided by 410.\nAnswer: 399","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q + 3*w, w = -5*q + 7 + 13. Let n be ((-75)\/10)\/q*(-4)\/15. Which is the closest to n? (a) 0.3 (b) 1\/3 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + z + 1)*(3 + 0 - 1)*(0*z + 6*z - 4*z)*(z**2 - z**2 - 2*z**3).\nAnswer: -8*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(2\/17)\/(c*(c*c\/c**(1\/8)*c)\/c)*c\/c**(1\/6)*c**(2\/13)*(c\/c**(1\/2))**(-46)\/((c\/(c\/c**2))\/(c*c**5)) assuming c is positive.\nAnswer: c**(-110165\/5304)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 55 = -3*b. What is the common denominator of ((-48)\/(-55))\/3 - (21 + b) and -101\/50?\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 218 and 104422?\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17633, -17627, -17631, -17645, -17669?\nAnswer: -17703","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.2 + -3.8?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 3 = 0, 10*d - 6*d + 3*v = 15. Let y(b) = 0*b - b - 7 + 12. Let p be y(d). Solve 2*t + 10 = -p*a - 0, -t = 4*a + 11 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6c + 3b?\nAnswer: a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 219*n**2 + 318*n**2 + 15*n**2 + 1.\nAnswer: 552*n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -r**3 - 2094 + 2094 - r**3 - 2*r**3 + r**3 + (-r**2 + 3*r**2 + 0*r**2)*(4*r - 6*r + 4*r) in the form j*r + g + b*r**3 + x*r**2 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 51205502 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -500, -28, -4, 0, 3, 2 in descending order.\nAnswer: 3, 2, 0, -4, -28, -500","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 478924.\nAnswer: 2, 17, 7043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 23*d**2 - d - 1. Let t be (-2)\/(-3)*6\/4. Let l be t + -1 - (-3)\/(-3). Calculate the remainder when o(l) is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2401102447?\nAnswer: 19, 191, 541, 1223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes before 10:42 PM?\nAnswer: 12:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*k*l**2*o + k*l**2 + 2*k*l*o + 3838*k*l - l**2*o - 31*l**2 wrt l?\nAnswer: -10*k*o + 2*k - 2*o - 62","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 39 (b) -12 (c) -2\/7 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 130218473?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 101978134 is divided by 20.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -125 - -126. Let b(d) = d - 1. Let h(w) = -9. Let y(m) = f*h(m) - 3*b(m). Let j(v) = 2*v**2. Calculate y(j(l)).\nAnswer: -6*l**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -12668093.7 rounded to the nearest one thousand?\nAnswer: -12668000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 272479 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-196)\/84)\/(4*1960\/(-192))?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 415*q + 2. Let x(n) = 832*n + 5. What is -5*g(z) + 2*x(z)?\nAnswer: -411*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/5 - 286\/(-65). Suppose -6*y = -4*y - g - 174, t*g = 0. What is the remainder when y is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7*(0 - -21) + 4?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.079 * -8.313.\nAnswer: 0.656727","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w**2 + 3*w**2 - 3*w**2)*(3*w + 3*w - 4*w)*(7 + 11 - 3)*(3*w - 3*w + 2*w**2).\nAnswer: 60*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the first derivative of -a**6\/9 + 14*a**5\/15 + a**4\/3 - 28*a**3\/9 - a**2\/3 + 14*a\/3 + 7. Suppose n(o) = 0. What is o?\nAnswer: -1, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) 2\/31 (b) 0.4 (c) -7 (d) 3\/7 (e) -3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 2*x**2 - 4*x + 2. Let z be f(2). Let d = 0 - -2. Suppose 0 = d*a - 3*l - 332, 0 = -a - 2*a + z*l + 493. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -60 - (-777 + 745)\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-10))\/(19\/(-285))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26.402 rounded to zero dps?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 45905 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 - (-7)\/14*6. Solve -a*b + 5 = -5 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*d**2 - 3*d**2 + 2*d**2 + d**2 - 8*d**2 - 7*d**2 + 6*d**2 - 4*d**2 - 4*d**2 - d + 3*d**2 + d + (d - 2*d + 3*d)*(d - d - d).\nAnswer: -16*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**2 + 3 + 5*r**2 - 5*r**2 - 3*r. Calculate x(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 296 and 3411844.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 158815?\nAnswer: 5, 23, 1381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11212001022112 (base 3) to base 4.\nAnswer: -21311233220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 2*r - 13 = 18, -6 = 2*r. Let o(m) = -3*m + 7. Determine o(x).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the second derivative of 0*x**2 + 0 - 1\/40*x**6 + 8*x - 9\/80*x**5 - 1\/8*x**3 - 3\/16*x**4. Determine i so that u(i) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4231.\nAnswer: 4231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*p - 8*z - 172 = 23*p, -2*p + 2*z + 75 = 29 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uifu when four letters picked without replacement from uiiiuiof?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 114 by -4446.\nAnswer: -1\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23, 2, 51, 130, 245, 402, 607?\nAnswer: 866","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -992402, -992789, -993176, -993563, -993950?\n\"Answer: -387*g - 992015","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 145104?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 e when two letters picked without replacement from {r: 5, e: 4, g: 1}.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2154*x**2 - 12*x**3 + 2154*x**2 - 6*x**3.\nAnswer: -18*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -1874*f**3 + 17*f - 1. Let n be a(-12). Let i be 1383\/((2\/8298)\/1). Let c = i - n. What is c rounded to the nearest 1000000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-5) + -1 - 65\/(-25). Suppose 0 = -2*j - 7 - 1, -h*c = j - 286. List the prime factors of c.\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * 65835504\nAnswer: -6583550.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 26, 6\/7, 1487, -6?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.0824 (b) 0.5 (c) -0.3 (d) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/76 and 50\/32243.\nAnswer: 128972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -30 (b) 1\/2 (c) 4 (d) 2 (e) 2\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h + 4*d - 953, -7*d + 3*d = -4*h + 748. What is the greatest common divisor of h and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-120)\/900 - 341\/(-495).\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2177 + 2226. Calculate the remainder when h is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 142249?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -271 - 2?\nAnswer: -273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -563, -549, -535, -521?\nAnswer: -507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(76) + 0 + (sqrt(76) - (1 + sqrt(76)))**2*-1 + sqrt(76) - ((-3 + sqrt(76) + 1)**2 + (sqrt(76)*2*-3 - sqrt(76))**2))*-2.\nAnswer: -24*sqrt(19) + 7618","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 245 and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5213946.\nAnswer: 2, 3, 137, 6343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h + s + 15 - 10, h - 2*s = 4. Suppose -h*d - 7*d = -1989. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 233319907 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 5*u**2. Let i(t) = 3132*t**2 - 2*t + 8. Give i(p(l)).\nAnswer: 78300*l**4 - 10*l**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 457242347 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -34 - -60?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 - -1. Suppose -4*f + 2*f + 26 = j*b, f + 9 = 3*b. Suppose 2 = 2*p - b. List the prime factors of p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -38578364 bigger than -38578327?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 - -84. Let f = w + -86. Which is the second biggest value? (a) f (b) 0.3 (c) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 5*j**2 - 650*j + 21125 = 0.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 24*s + 3 + s**2 - 2*s - 10*s. Let d be k(-5). Let l = 35 + d. Put 5, l, -2 in descending order.\nAnswer: 5, l, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 54372?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33095035 is divided by 390.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*r + 5*r - 16*r + (3 - 3 - 5*r)*(0 - 3 + 5) to i + k*r and give k.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 86032*j**3*u**3 - 2*j**3*u**2 - 2*j**3 + 803*j**2*u**2 - 31*u**2 wrt u?\nAnswer: 516192*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x - 2. Let z be (-15)\/(-4) - (-21)\/84. Give p(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -1\/20, -25 in decreasing order.\nAnswer: -1\/20, -1, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -42, -43, -44, -45, -46?\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 4) to base 2\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 20.56933 rounded to 2 dps?\nAnswer: 20.57","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 31 or 2\/13917?\nAnswer: 2\/13917","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -4*y. Suppose y = x - 8 + 3. Factor -c**x + c**4 - 2*c**2 - c**3 + 5*c**3 + c**2 - 3*c**3.\nAnswer: -c**2*(c - 1)**2*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-2 + -3*sqrt(180) - ((sqrt(80)*4 - sqrt(5) - sqrt(5)) + (-3*(sqrt(5) + -2*sqrt(5)))**2)).\nAnswer: -64*sqrt(5) - 94","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 3*d + 5. Let c be (4 + d)\/2 + 11. Let g(i) = 25*i - 900. Let a be g(36). Sort -0.4, a, c in decreasing order.\nAnswer: c, a, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2910962 is divided by 14928.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -978*i - 11699. Let f be m(-12). Solve -f*s + 23*s = -19*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 81 and 59267430?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwwswowwowwwww. What is prob of sequence wwos?\nAnswer: 5\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 158*x = 152*x + 24 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 - -7. Suppose 19 = 3*g - k. Let v(h) = h**2 - 4*h - 5. Let f be v(6). What is the highest common divisor of g and f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -38 + 35. What is the second smallest value in 4\/3, p, -12?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 - 5 = -8*d. Factor -o**d - 2*o**2 + 13*o + 18*o - 28*o.\nAnswer: -3*o*(o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1174 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 574 - 574. Is -1\/484 less than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -273.95 - -5.05. Let g = h - -269. Which is the smallest value? (a) g (b) 2\/5 (c) 11.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3168, -45.9, -2\/5, -1\/4.\nAnswer: -45.9, -2\/5, -1\/4, 3168","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 1258 = 3*v, 1253 = 3*v - 6878*r + 6877*r. Calculate the greatest common divisor of 923 and v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-46)\/(-4) + (-7)\/(-14). Solve -2 + u = -2*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-232)\/(-48) + 2\/12. Suppose 0*x - 9 = -3*x. Solve x*n = -1 - u for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -263170, -263163, -263140, -263101, -263046, -262975, -262888?\n\"Answer: 8*h**2 - 17*h - 263161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 681 and 573.\nAnswer: 130071","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 258240 divided by -5\nAnswer: -51648","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s + 3*s - s)*(-7*s**2 + 5*s**2 - 6*s**2) - 73*s**2 + 11 + 73*s**2 + 3*s**3.\nAnswer: 11*s**3 + 11","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.7 - 4. Let k = 1.2 + s. Let r = k + -0.4. Which is the third smallest value? (a) r (b) -0.1 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1254, -1255, -1256?\nAnswer: -1257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7307?\nAnswer: 7307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/(-4))\/(4\/8)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 10*q - 2. Let y(d) = -20*d + 4. Let n(p) = -p**3 - 17*p**2 - 68*p - 91. Let g be n(-12). Determine g*r(l) + 2*y(l).\nAnswer: 10*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (-103 + (84 - -21) - (-1 + 22)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -4*c**4\/5 + 9444*c**3 + 30276204*c**2\/5 - 2008854554468*c\/5 + 5947728848220552\/5 = 0.\nAnswer: -6522, 6109","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96 = -23*i - 27. Differentiate -1282*f**2 - 63*f**3 + 156 + 15*f**i + 1280*f**2 wrt f.\nAnswer: -144*f**2 - 4*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 + -160214.\nAnswer: -160213.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**2 + 16*q + 413. Let m be j(30). Which is the closest to 33? (a) -2 (b) 1\/2 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8438471?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (2 + sqrt(3))*1)**2.\nAnswer: 4*sqrt(3) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43692 is divided by 14509?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -34*z**2 - 96*z + 2. Let x(a) = -5*a. Determine l(x(t)).\nAnswer: -850*t**2 + 480*t + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the second derivative of -x**4\/12 - 4*x**3\/3 + 5*x**2 - 3*x. Let t be u(-10). What is the units digit of (-2)\/10 - 82\/t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**2 + 10*y + 9. Let x be f(-10). Suppose m = 11 - x. Solve l + 3*b = 16, -m*l - b = -0 - 7 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -732 + -9?\nAnswer: -73b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 9282 and 5.\nAnswer: 46410","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3 - (-97)\/33)\/(10\/270*6). What is the second biggest value in d, -2, 0.4, -0.5, 1\/2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -1 + sqrt(325))**2.\nAnswer: -10*sqrt(13) + 326","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(2\/9)\/i*i*(i*(i**12\/i*i)\/i)\/i)**22\/((i**(-2)*i*i*i*i)**49\/((i**7*i)\/(i\/(i*i**(5\/6))))) assuming i is positive.\nAnswer: i**(2839\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s - 4*a - 16 = -2*s, 5*s + 5*a = -20 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 177 is divided by 93?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2\/41 (b) -1\/2 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/4072298 > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**2 - 30*j + 59. Let a be q(32). Let z = 125 - a. Suppose -z*m + u + 143 = 2*u, u = 3. What is the highest common divisor of 7 and m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*l - 602 = 14*l. Let m(x) = l*x + 87*x - 184*x. Let q(z) be the second derivative of -z**4\/3 + 2*z. Calculate q(m(n)).\nAnswer: -484*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -244 = -x - 3*x. Suppose x + 371 = 3*t. Does 6 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 greater than 30?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/(-18) - (-129)\/(-27). Let o be -4 - ((-9)\/3 + 1). Let c be (1 - 0)\/(1\/o). Sort c, 4, t in ascending order.\nAnswer: t, c, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 62*i**3*s**3 - 16*i**3*s**2 - i**3*s - 146*i**3 - 8*i**2*s + 539155*i*s**3 wrt i.\nAnswer: 372*s**3 - 96*s**2 - 6*s - 876","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*h**4 + 50*h + 10*h**4 - 30*h**3 + 28374*h**2 - 28359*h**2.\nAnswer: 5*h*(h - 5)*(h - 2)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6492.283 to the nearest 10.\nAnswer: -6490","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-54)\/630)\/(15\/(-25))?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1590 and 1397769.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 388, 826, 1312, 1852, 2452, 3118, 3856, 4672?\nAnswer: 5572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 464021 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - l = 9, -3*y = 2*y - 4*l - 10. Let o = y + 39. List the prime factors of o.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 121\/404970 and 55\/323976.\nAnswer: 1619880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 942, 895, 850, 807, 766, 727?\n\"Answer: b**2 - 50*b + 991","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j - 6. Let n(x) be the second derivative of 0*x**3 + 14*x + 1 - 1\/12*x**4 + 0*x**2. What is n(v(d))?\nAnswer: -d**2 + 12*d - 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(-3\/14)*s**(-25)\/s)\/(s**25\/((s*s**(-1))\/s)) assuming s is positive.\nAnswer: s**(-717\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-11330)\/45192 + (-1)\/(-4). Let s = -148733\/33894 + i. What is the common denominator of 1\/3 - 42\/4 and s?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 104 is divided by 22?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -9.553 * 0.057\nAnswer: -0.544521","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + (8 + -4 - 0 - 1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - 5 - (-4 - 35)) + -15\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 16934447183 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -19*h**3 + 236*h**2 + 422*h - 16. Calculate v(14).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2*(2\/2 + -2). List the prime factors of (1\/2)\/(h\/(-12)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**3 + 30*a**2 - 26*a + 66. Let b be w(30). Does b = -714?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 + 5. Suppose 0*s - f*s = -12. What is the remainder when 16 is divided by s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8 + (-3)\/2*2. What is the tens digit of 16\/(-10)*(-25 - f)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 27300 and 238973280.\nAnswer: 1194866400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of y + 2836 + 6010*y**3 - y - 6013*y**3 + 19*y**2 wrt y.\nAnswer: -9*y**2 + 38*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**16*l**(2\/17)*((l*l**(7\/3))\/l)**46)**3 assuming l is positive.\nAnswer: l**(6296\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rlnullnnfwfnnwn. Give prob of sequence lllf.\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 115116712 and 10.\nAnswer: 575583560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 376336 is divided by 31297?\nAnswer: 772","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10211110 (base 4) to base 10.\nAnswer: -18772","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence by when two letters picked without replacement from bybb?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 45573 - -104?\nAnswer: 45677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -564*s + 1457 = -533*s. Which is greater: 51 or s?\nAnswer: 51","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -2*2\/(-8)*106?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -26319, -52196, -77629, -102618?\n\"Answer: 222*q**2 - 26543*q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 6*m**2 + 3*m + 2. Let b be k(-2). Suppose -3*d + 19 = -2*d - 3*s, 3*s = -3*d + 21. Let h = -10 + d. Solve 5*u = -h*u - b for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 6017*l - 2099979. Calculate m(349).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -3) + 2 - (0 + 7).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:23 PM and 9:48 PM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 804 - 2415 + 806 + 805 + 2*k.\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 6*f**2 - 8*f - 1 + 5*f**2 + 15*f**2 + 2*f**3 - 39*f**2. Let t be w(7). Is (-16)\/t*251\/2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nwwddwwwddw. Give prob of sequence nnw.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q - 10. Let s be p(10). Solve s = 2*l - 0*l + 4 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3051 - 1229. What are the prime factors of q?\nAnswer: 2, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 85658229 take away 14.35?\nAnswer: 85658214.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o**3 + 4*o**3 - 5*o**3)*(-10 + 10 + 7*o)*(0 - 3 + 1).\nAnswer: 14*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8312769?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u - u + 17*u - 10*u + 48. What is the smallest common multiple of v(12) and 33?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -365 + 367. Solve 6*r - t = 5*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**2 - 2. Let f(v) = -v + 4. Let y be ((-1)\/1)\/(2\/(-4)). Let n be f(y). Calculate i(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -84 + 128584515735.\nAnswer: 128584515651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.5, -273720, -1, 5, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Convert 1167 (base 11) to base 14.\nAnswer: 7ad","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.29611 to 2 dps.\nAnswer: 5.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in -568\/83, -5, -3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 2*t - 1. Suppose 0*c = -4*c + w + 12, t*w = -c + 16. Let h be (4\/6)\/(38\/171). Solve h*b - c = -b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -149*f**2 - 175*f wrt f?\nAnswer: -298","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -77 - -80. What is the nearest to 1\/3 in 0.2, h, -0.17?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-2\/3))**(-14))**(-2) assuming x is positive.\nAnswer: x**(-56\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 121 (b) 151.1 (c) -0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 484360 and 140?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 200918\/5 or 40184?\nAnswer: 40184","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.1 in -1, 0, 2, 2\/3485?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 169067 to the power of 1\/3, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s**4 - 42*s**3 - 32*s**2 + 168*s + 160 = 0.\nAnswer: -20, -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4553908?\nAnswer: 2, 23, 49499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/16, 4, -796, 3\/2, 2.4, 2\/3.\nAnswer: -796, 1\/16, 2\/3, 3\/2, 2.4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 2*y + 9. Let q be 7\/(-35) + 48\/(-10). Let t(a) = -a - 5. Let x(k) = -2*k - 10. Let s(w) = q*t(w) + 3*x(w). What is -6*j(u) - 11*s(u)?\nAnswer: -u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 131 + -131. Suppose r = m - 4*t + 18, -2*m + 29 = -0*m + 5*t. Calculate the least common multiple of 16 and m.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -20\/11 and ((-75)\/(-1480))\/((-2)\/24).\nAnswer: 814","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*x - 45 = 25*x. Does 38 divide (-114)\/x*1*9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.928507ml in litres?\nAnswer: 0.005928507","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 126759 and 385857.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7.5 + -7. Let v = -2 - z. Let o = 2.58 + v. Which is the third smallest value? (a) -4 (b) 5 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/1602 and -53\/3382?\nAnswer: 30438","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*n - 12. Is 0.1 greater than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -49*f + 1. Let v be g(-1). Let j be v\/2 - (3 - 0). Suppose 2*b = -4*o - 20, 5*b + 3*o + 7 = -j. Which is bigger: -2 or b?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - (-5 - -2)) + 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2256050378?\nAnswer: 2, 59, 19119071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 19 + -16. Let k be u*-1 - (-81)\/3. Suppose 5 = -j + k. Solve 0 = l + 5, 2*y - 5*l = 5*y + j for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.166 and -14.78.\nAnswer: -2.45348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*k + 5*d - 69 + 109, 5*k + 4*d + 36 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 70*w - 33*w - 38*w - 8. Determine h(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-2\/5)*w)\/w)**(3\/29)\/((w\/(w**(-1)*w))\/w*w)**48 assuming w is positive.\nAnswer: w**(-6966\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 230, 453, 630, 731, 726, 585, 278, -225?\n\"Answer: -5*p**3 + 7*p**2 + 237*p - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from {d: 3, w: 1, c: 5}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*a**4 - 2096*a**3 - 67142*a**2 - 83440*a - 18408 = 0. Calculate a.\nAnswer: -26, -1, -2\/7, 177","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**3 - 4*j**2 - 6*j + 4. Let y = -26 - -35. Let v be (1 + -5)\/1 + y. What is r(v)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 288 - 254. Let m = -2 + 12. What is the remainder when q is divided by m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24\/13 - ((-108)\/26 + 4)) + 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a + 3 + 2. Suppose a*b - 1377 = 1198. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d**3 - d + d)*(2*d + 2*d - 5*d) + (-2*d**3 + 0 + 0)*(4 - 4 - d) + 3*d**4 + 4*d**4 - 4*d**4 + d**4 + 3*d**4 - 5*d**4.\nAnswer: 3*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -166175*d*q**4 + 2*d*q + 2*d + 16*q**4 - 3313*q**2 wrt q?\nAnswer: -3988200*d*q + 384*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 211 - 1 = -5*g + 111 - 181 for g.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(243) + (sqrt(243) - (0 + sqrt(243))))*2)**2 - sqrt(243).\nAnswer: -9*sqrt(3) + 972","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3 + -4 + -1 + 2. Let r(d) = -3*d - 4*d**2 - 1 + 5*d**2 + 8*d + d. What is r(m)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 440716 times 214\nAnswer: 94313224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 63 + -60. Suppose 3 = 2*o - b*m, 5 = -2*o + 5*m + 2. Let t(c) = 5*c**2 - c**2 - 2 + c**2 - 4*c**2 + o*c. What is t(-8)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(133)\/sqrt(7) - (-5 + sqrt(19)*2).\nAnswer: -sqrt(19) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 81 and 10.2.\nAnswer: 826.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 12, l: 1}. What is prob of sequence ppl?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the third derivative of -k**8\/168 - 5*k**4\/24 - 8*k**2. Find the second derivative of y(r) wrt r.\nAnswer: -40*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 47232 + -31445. Is 130 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10770039 to the power of 1\/5, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-8) - (1287\/(-36) + 31)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -48.13 - 0.27. Let x = 48 + h. Let v = -0.073 - -0.013. What is the closest to -2\/9 in v, 0.2, x?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11\/(990\/(-27))*-5.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and 8\/96988441 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 274*u**2 - 274*u**2 - 21*u**5 - 3*u - u**5 + 3*u + (-u**4 - u**2 + u**2)*(u - 4 + 4) + 0*u**3 - 2*u**5 + 0*u**3.\nAnswer: -25*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-26)\/(-12) + (-6)\/(-18). Let z = -2 + o. Solve -a**4 + 0*a**3 - 1\/2*a**5 + 0 + z*a + a**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -303*v + 11 - 17 - 501*v + 69*v.\nAnswer: -735*v - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*v - 1 + 9 = 0, -4*t + 105*v - 5 = 102*v for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2503590735?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3248 and 112?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9 - 0. Let u be 2\/(-4) + w\/12. Which is the nearest to -0.1? (a) 1\/2 (b) u (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-4)\/(-10))\/((-98)\/70). Let m = -0.44 - -0.24. What is the nearest to -0.1 in h, m, 4\/3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1050 + -4?\nAnswer: 1045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -y + 3, 5*y = 3*o - 2*o - 15. Suppose 3*p - 13 = o. Let v be (-3)\/p + (-73)\/(-2). Calculate the highest common factor of 90 and v.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.60554 - -0.19554. Let n(h) = h - 330. Let k be n(0). Let u be 2\/11 - 6\/k. Which is the second biggest value? (a) u (b) j (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-136)\/22 + 2 - -4. Sort 2\/11, i, 0.2.\nAnswer: i, 2\/11, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*w + 277 = 391 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 - -2. Let q be (t + 7)*2\/(-4). Let k = 3 + q. Solve k = -3*u - u + 16 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -5.197 and -886.65?\nAnswer: 881.453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*a + 45*a = 980 for a.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 3*s + 3*p = 1, -4*s = 3*p + 7. Let b be (-3)\/(-3 - (s + -1)). Solve x + b*x = 20 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 5*j - 17 = 4, 4*b + 5*j - 9 = 0. Suppose -5 = b*z - 7*z. What is the remainder when z is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the third derivative of 2*y**2 + 1\/8*y**4 - 1\/4*y**3 - 11 + 0*y**5 + 1\/140*y**7 - 1\/40*y**6 + 0*y. Suppose s(p) = 0. Calculate p.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12706142 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -33, 83, 401, 1023, 2051, 3587, 5733?\nAnswer: 8591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 43 - 35 - (-2 - -9)*(-840)\/(-732)?\nAnswer: -2\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 2*f**2 - 11*f - f**2 - 5*f + 6*f + 6. Let x be p(10). Which is smaller: x or 7?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q**3 + 3*q**3 - 2*q**3 + (0*q - q - q)*(-q**2 - 2*q**2 + 0*q**2))*(-2 + 2 - 2)*(3 - 4 + 3).\nAnswer: -28*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -15*(-3 + (-40)\/(-12))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = o - 22. Let y = o - 23. What is the units digit of 1\/((-17)\/y + -2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 1\/6, 11, 2, 437?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5.01388 - 0.00512. Let x = u + -0.081. What is x rounded to the nearest integer?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 18\/5 of a second?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**3\/8 - 615*a**2\/2 + 43968*a - 1456128.\nAnswer: -3*(a - 64)**2*(a + 948)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 133033303133 (base 4) to base 2.\nAnswer: 11111001111110011011111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 6 + -514054?\nAnswer: -514047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*w**3 + 7704*w**2 - 7704*w**2.\nAnswer: 3*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 737 and 67?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19490 + 8098 = 19*r. What is the highest common divisor of 12 and r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9854\/35 + 1402\/5. What is the nearest to 0.1 in -1\/3, -90, x?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/40 of a litre?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 73, 1, 5, -3 in decreasing order.\nAnswer: 73, 5, 1, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*y**2 - 350*y + 258.\nAnswer: 2*(y - 43)*(4*y - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -105*z + 2725. What is p(26)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 484704?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 977466?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = c - 4*n + 7, 0 = -5*c - n - 2 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 100 a factor of 28600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a + 3*a - 2*a)*(3 - 7 - 5)*(-12*a**4 + 17*a**4 + 33*a**4).\nAnswer: 684*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 1360.\nAnswer: 3\/1360","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 34.1 - 1304701?\nAnswer: -1304666.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 2*b - 7. Let r be m(5). Suppose r*h + h = 24. Solve 0 = -3*n + 3, -h*n + 2 = -2*a - 2*n for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1948?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 290101 to the power of 1\/2, to the nearest integer?\nAnswer: 539","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.069106651 rounded to 5 decimal places?\nAnswer: 0.06911","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -206462 (base 7) to base 2\nAnswer: -1000110001001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(-1\/2))**(1\/36)\/(x**(6\/5)\/x**(-1\/10)))**(-29\/2) assuming x is positive.\nAnswer: x**(13427\/720)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**2\/4 + 204*w - 820.\nAnswer: (w - 4)*(w + 820)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 286821*p. Let t be j(2). Suppose o = 3079 + t. Let g = o - 1076721. What is g rounded to the nearest one million?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of t**4 + 2231346*t**3 + 924161*t - 3.\nAnswer: 12*t**2 + 13388076*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 - 3.1. Let i = 142 + -232. Let c be (-8)\/(-6)*(-9)\/i. Which is greater: d or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*r + 8*r = -5*i - 23, 35 = 5*r - 5*i for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3.95 + 0.05. Let s = -3 - -6.9. Let x = b - s. Which is smaller: 2 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 597233.79 seconds to hours.\nAnswer: 165.898275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 2 m when three letters picked without replacement from {v: 5, m: 2, k: 1, u: 1, l: 1}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86219 is divided by 247?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the third derivative of 1\/3*z**3 + 0*z**5 - 1\/1260*z**6 + 0*z**4 + 0*z + z**2 + 0. Let u(c) be the first derivative of s(c). Factor u(y).\nAnswer: -2*y**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**3 - 60*r**2 - 196*r - 4646. Determine w(-58).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*q**2 - 9*q**2 + 2*q**2 + 2*q**2 as f*q + a + y*q**2 and give y.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 11295602 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -269 times -0.1?\nAnswer: 26.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12, 17, 20, 15, -4, -43, -108, -205?\nAnswer: -340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -20.209266 to two dps.\nAnswer: -20.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**3 + 5*m**2 - 7*m - 9. Let r be l(-6). Let k(t) = 9*t - 6. Let o(b) = -8*b + 5. Let x(v) = r*k(v) - 4*o(v). Determine x(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22004310 (base 5) to base 12\nAnswer: 90a14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*n**2 - 7*n**2 - 2*n**2.\nAnswer: -20*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8743, 69900, 235901, 559168, 1092123, 1887188, 2996785?\nAnswer: 4473336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.373 times 0.6473?\nAnswer: -0.2414429","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 555399?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 713 a factor of 179694037?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t + 5*p + 51, 4*t - 2*p - 153 = t. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4.5 + 6.4. Let l = 2.3 - h. Let o = 4.8 - 1.8. Which is the closest to 0? (a) o (b) -2 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -3*y**2 + y**2 + y**2. Suppose -5 - 5 = -5*b. Let s(j) = -4*j - b*j + j + 3*j. What is s(m(h))?\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 970641856?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 2*t = -t + 15, 0 = 5*g - 4*t + 2. Let h(i) = 3 - 1 + 5*i - 3 + 4. Let x(k) = -4*k - 2. Give g*h(o) + 3*x(o).\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -11499.3 rounded to the nearest 100?\nAnswer: -11500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from faufxuoffoxo. What is prob of sequence afo?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2997707 is divided by 33682.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 10\/90439?\nAnswer: 10\/90439","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 5) to base 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -574 rounded to the nearest 100?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 - -0.6. Let q = -9396782\/15 + 625750. Let p = 702 + q. Put 5, p, j, 1\/3 in increasing order.\nAnswer: j, p, 1\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1775 + -1032. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -17 - -26?\nAnswer: d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**(4\/5)*o)**(-39) assuming o is positive.\nAnswer: o**(-234\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 4 = 14. Let k = u + 6. What is the common denominator of -107\/22 and (6\/k)\/((-6)\/188)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -179 - -179. Let m = 16 - 12. What is the nearest to -1\/3 in m, 0.1, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18626544578 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1302230 (base 4) to base 16\nAnswer: 1cac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2 - 1)\/(18\/48). Let c be (6\/g)\/((-2)\/(-8)). Sort 1, 3, c.\nAnswer: c, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 134 - 139. Let i(j) = -30*j**2 + 12. Let a(b) = -12*b**2 + 5. What is x*i(f) + 12*a(f)?\nAnswer: 6*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and -2272.\nAnswer: 1136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3\/9 - 817\/1596 and 89\/438?\nAnswer: 6132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**2 + 3*v - 5*v + 2*v**2 + 3*v. Let o = 6 + -3. Suppose 0 = -p - p - o*d + 7, -3*p + d - 6 = 0. What is k(p)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the third derivative of -1\/15*b**6 - 1\/105*b**7 + 0*b**4 + 0 + 0*b + 0*b**3 + 24*b**2 - 2\/15*b**5. Factor r(u).\nAnswer: -2*u**2*(u + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 550 + -244. Is 3\/6 + n\/4 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -47 - (-110 + 55) - (-2 + 13 + 2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7289848715 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 161 = 14*k - 63. Calculate the greatest common divisor of k and 36.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**2 - 30*y - 428. Give b(-20).\nAnswer: -228","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g + x = 6, 78 = 3*g + 5*x + 35 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7.7 - -8. Suppose 42 = 2*n + 8. Let c = 52\/3 - n. Put d, c, -2 in decreasing order.\nAnswer: c, d, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*r + 0*r + r**4 - 3*r**2 + 11*r**3 - 15*r**3 to the form j + i*r + x*r**2 + z*r**4 + k*r**3 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/(-10))\/((-12)\/(-60))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -358*u + 929. Let x be i(-12). Calculate the greatest common factor of 418 and x.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) -1\/15 (c) -0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*n**2 - 2*n**2 - 3*n**2 + (-4 - n + 4)*(-4*n + 3 - 3) in the form t*n + b*n**2 + w and give b.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -934 - -944. Let h be (-10)\/14 + (-6)\/21. Which is the nearest to 3? (a) 2\/3 (b) h (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 108*p**5 - 23319*p**4 + 971715*p**3 - 877653*p**2 + 264645*p - 26400 = 0.\nAnswer: 1\/4, 1\/3, 55, 160","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 187414762*t**5 - 277462760*t**2.\nAnswer: 11244885720*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 17211073 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4.8 + -5. What is the nearest to 0.1 in -1\/10, x, -1\/6?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*f**2 + 187*f**2 + 78*f**2.\nAnswer: 279*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 + 0)*(-3 + 5). Which is the closest to -0.1? (a) 3\/4 (b) -3 (c) 3\/2 (d) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the third derivative of 0 + 0*l + 1\/36*l**4 - 1\/270*l**5 + 4\/27*l**3 + 34*l**2. Let o(b) = 0. What is b?\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 a when two letters picked without replacement from tdcxsat?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31714 = -5*c - 3*t, -4*c + 23583 + 1783 = 5*t. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -3*j**3 + 11*j**2. Let v(r) be the first derivative of -r**4\/4 + 4*r**3\/3 - 6. Determine -4*a(w) + 11*v(w).\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 1 c when three letters picked without replacement from {c: 1, h: 4, u: 2}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -2, 3, -1, -32 in descending order.\nAnswer: 3, -1, -2, -4, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 155965.1247us to weeks.\nAnswer: 0.00000025787884375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -47 (base 16) in base 10?\nAnswer: -71","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = -3*a + 7*a. Suppose 4*v - a = 0, 1 + 5 = -5*l + 3*v. Solve l = -0*h + 3*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.06 and -0.0237009?\nAnswer: 0.001422054","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11379.\nAnswer: 3, 3793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 3*c**3 + 1040*c**2 - 1372*c + 6948. What is q(-348)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -806, -930, -1054, -1178?\nAnswer: -1302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -305, -586, -727, -656, -301?\nAnswer: 410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -r**4\/3 + 13*r**3\/3 + 49*r**2\/3 - 13*r\/3 - 16 = 0. What is r?\nAnswer: -3, -1, 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20 (base 10) to base 9.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 8514?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -300*(-183)\/(-6405)*(28\/(-6))\/(-1)?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -19*h**2. Let j(r) be the first derivative of 3\/2*r**2 + 0*r - 77. What is g(j(x))?\nAnswer: -171*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 245 divide 14524676?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20640984 and 4998.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 20 = 6*d. Solve -5*a = 5*v - 19 + 4, d*a = 4*v - 12 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 + 2. Let c be (5\/(-3) - -1) + h. Suppose -5*w + 25 = -5*k, w + 4*k + 0*k + 20 = 0. Is w at most c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*p**4 - 2*p - 3*p + p**4 + 7*p - 3 as f*p**3 + s + a*p**2 + n*p + y*p**4 and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.016 times -184?\nAnswer: 2.944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.82 + 1.05. Let m = r + -14.23. Let x = 15.75 + m. Round x to 1 decimal place.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/4)\/(-1)*16\/18.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -4*f + 5*h, -4*h = -4*f + 1 + 15. Suppose -f*o - a + 1556 = -0*o, -o = a - 778. What is the hundreds digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*z + 236 + 7798 - 8034.\nAnswer: -4*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18*t + 4*t - 2*t - 10*t to o*t + h and give o.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -502, -2001, -4500, -7999, -12498?\nAnswer: -17997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -2*c - 3. Let u(b) be the third derivative of -b**4\/12 - b**3\/6 + 6*b**2. Let g(r) = -r - 1. Let q(k) = -3*g(k) + u(k). Calculate 4*h(o) + 7*q(o).\nAnswer: -o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -2*t - 3. Suppose -5 = -5*m, f + 2*m = -1 + t. Let x(a) = -3*a - 15. Let j be x(-6). Put f, 1, j in descending order.\nAnswer: j, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*f - 19*f + 40 = 0. Solve -4*g = -f*g + 12 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**3 + 3*x**2 + 3*x - 3. Let q be n(4). Let o = q + 12. Suppose -o*m = -7 - 18. List the prime factors of m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-3 + -2*sqrt(1008) + -5 - (5 + 3 + sqrt(1008)*-1)**2).\nAnswer: -504*sqrt(7) + 3240","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -25445 (base 6) to base 3.\nAnswer: -12021102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 2*l**5\/17 - 4*l**4\/17 - 3306*l**3\/17 + 48428*l**2\/17 - 124912*l\/17 - 176640\/17 = 0.\nAnswer: -46, -1, 5, 12, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**3 - 19*f**2 + 13*f + 83. Give q(18).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -6, -5187\/5, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a meter in millimeters?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) -2\/3 (b) -1\/614 (c) 4\/7 (d) -0.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -18 + 29 + -7 + -1 + (-105 - -113)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 3*g = 7*g - 8, -1 = v - g. Let m be v\/(-8) + (-65)\/(-2). Let n = 6 + 154. Calculate the greatest common divisor of m and n.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lv when two letters picked without replacement from {v: 1, g: 1, z: 11, l: 6, p: 1}?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 2*n**2 + 3*n + 4. Let l(d) = d**2 + 4*d + 5. Let t(v) = -3*l(v) + 4*q(v). Let b be ((-4)\/6)\/(12\/18). Let o be (b\/(-2))\/((-1)\/(-2)). What is t(o)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 72 and 7368?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 2*z + 5 = 0, k - 4*z = -k + 26. Let v be (-6)\/4*(2 - (-80)\/(-24)). Solve -13 = -3*b + k*d - d, -v*d - 11 = -b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -3*d**2 - 4*d + 4. Let q(i) = 2*i**2 + 5*i - 5. Let n(l) = 4*q(l) + 5*x(l). Let m(p) = 2*p. Determine m(n(c)).\nAnswer: -14*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 - -131343?\nAnswer: 131402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 201 - -1010?\nAnswer: 1211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 322979 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 55568287?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/4 (b) 423 (c) -0.5 (d) 3 (e) 1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -8*t**2 - 53*t. Let l(d) = 23*d**2 + 160*d. Calculate -6*l(q) - 17*v(q).\nAnswer: -2*q**2 - 59*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71*r - 171*r = -113*r + 26 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 123250 at most as big as 123241?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -121 = -z + 2*v, 4*z = 3*v + 125 + 374. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*c**2 - 2*c**2 + 5*c**2 + 288*c**3 - 281*c**3.\nAnswer: 7*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the first derivative of -t**9\/336 - 13*t**5\/60 + 6*t**3 - 22. Let m(y) be the third derivative of s(y). What is the second derivative of m(n) wrt n?\nAnswer: -180*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 22984?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 394*y + 184*y - 131*y to the form j + x*y and give x.\nAnswer: 447","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 241 + -184 + 36 - (0 - 20 - 1)?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 3*x + x = 73, x - 4 = 0. What is the tens digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 6746966 and 1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 171, 526, -215, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14670*d**3 + 48*d - 101*d + 53*d + 3613*d**3.\nAnswer: -11057*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20a8e (base 15) to base 4.\nAnswer: -121103102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - (-5 + 0 + 7))\/(3 - 5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u - 5*a - 9 + 10 = 0, 0 = -3*u + a + 7 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 4 + 36 = 0. Suppose 0 = b*q - 5*q - 125. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve t = 5*m - 22 + 9, 5*t = -10*m + 5 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 - 7?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 93492850 to the power of 1\/3, to the nearest integer?\nAnswer: 454","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a millisecond in microseconds?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the first derivative of 2*n**2 - 54*n - 40. Let x be g(15). Differentiate 39 + x*f**3 - 16*f**3 - 21*f**3 + 6*f**3 wrt f.\nAnswer: -75*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -10792342 and -0.5?\nAnswer: 5396171","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 3*n**2 + 82*n + 296. Let r be o(-25). Let t = 0 - -1. Sort t, r, -2 in ascending order.\nAnswer: -2, t, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -64, -132, -212, -310, -432, -584, -772?\n\"Answer: -p**3 - 61*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/8*312\/1755.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22439?\nAnswer: 19, 1181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 279.387 to the nearest integer.\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -441 not equal to -441?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 117*t + 8079. Calculate h(-69).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 50209 and 6463.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -870, -862, -854?\nAnswer: -846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 303*d - 4119 = -786 for d.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from avggzzdrzrgar. What is prob of picking 1 z, 1 a, and 1 g?\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2*2*(-1)\/2. Suppose f + 50 = 6*f - 2*g, 0 = -3*f - k*g + 46. Is f less than 13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 193.9554cm?\nAnswer: 0.001939554","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (((-27)\/6)\/3)\/(-18). Factor 0 + k*a**3 + 1\/6*a**2 + 1\/12*a.\nAnswer: a*(a + 1)**2\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:35 PM and 2:13 AM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -194b - 32e?\nAnswer: -1c7a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1508?\nAnswer: 2, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 242 + 4*(-3)\/(-6). Suppose 0 = 5*l - 3*y - x, -y + 0*y = 2*l - 102. What are the prime factors of l?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((1\/3)\/(1\/(-4)))\/(315\/((-169155)\/(-29714)))?\nAnswer: -2\/83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13046 is divided by 233.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(68) - -2*sqrt(68)) - sqrt(68)*1*5)**2.\nAnswer: 19652","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 278681\/166 or 1679?\nAnswer: 1679","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 94652 to the nearest integer?\nAnswer: 308","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4528 - -6503. List the prime factors of y.\nAnswer: 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 4*i**3 + 48*i**2 - 117*i - 73. Determine d(-14).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*s**(-4)*s*s**6*s**(-4)\/(s*s**(-1)) assuming s is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.1 from -0.063896.\nAnswer: 0.036104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 + -5. Let p(k) = -7*k**2 + 4*k**2 + 2*k**q. Let u(z) = 4*z + 3. Let g(b) = -7*b - 5. Let j(s) = -6*g(s) - 10*u(s). What is p(j(t))?\nAnswer: -4*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*a*d*i + 455914*a*d - 3*a + 6*i - 225 wrt d?\nAnswer: 3*a*i + 455914*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11348?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19995 is divided by 309.\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.081 and -145.381595.\nAnswer: -145.300595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**1)**(6\/7)\/(q*q**(-3\/2))**38)**(2\/73) assuming q is positive.\nAnswer: q**(278\/511)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -8140 times -0.4?\nAnswer: 3256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 3*j = -8, 3*j + 25 - 5 = 5*n. Suppose 5*y - 54 = 5*s - 9, -n*s - 2*y - 12 = 0. Is s at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -73 - -6 - (-9 + (-1 - -3 - (10 - 19)))\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50368 = 3*b + 4*z, 0 = 5*z - 47 + 87. Is 30 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**2 + y - 2. Let s be q(-2). Let o be 1 + 2 - (2 - s). What is the second smallest value in -2\/19, 0, o?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -36 divided by 9\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 327 - 10?\nAnswer: 317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, j: 1, f: 5, e: 4, v: 4}. Give prob of sequence jaee.\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes after 10:20 AM?\nAnswer: 10:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z**2 + 24796948*z - 153722157528676 = 0.\nAnswer: 12398474","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1898.4*-0.76\nAnswer: 1442.784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 e, 1 b, and 1 a when four letters picked without replacement from {s: 1, i: 1, e: 1, b: 1, a: 4}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**0)\/((f*(f*f**(-1\/2))\/f*f)\/f)*f**(-3)*(f\/f**(-1))\/f*((f**6\/f)\/f**(2\/13))\/((f**(-8\/5)*f)\/(((f**5*f)\/f)\/f)) assuming f is positive.\nAnswer: f**(1033\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 126440277?\nAnswer: 3, 42146759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 j when two letters picked without replacement from {j: 15, n: 3}.\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 91166329 is divided by 3902.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 15704*l**3 - 18076*l**2 + 7*l - 14. Let v(o) = -5237*o**3 + 6025*o**2 - 2*o + 4. Let t(n) = 2*b(n) + 7*v(n). Find the third derivative of t(z) wrt z.\nAnswer: -31506","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*j + 34*j - 15*j.\nAnswer: 22*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a litre in millilitres?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**3 + 46*a**2 + 55*a - 86. What are the prime factors of s(-44)?\nAnswer: 2, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1648, 3295, 4942, 6589?\n\"Answer: 1647*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1717754?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 + 6 = 4*r. Suppose 0 = -0*j - 4*j + f + 90, 2*j = 4*f + 52. Calculate the lowest common multiple of 194\/j - (-2)\/11 and r.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -3*v - 4. Let i be (-24)\/16 - (-31)\/2. Solve 4*o - i = v for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 43, 116, 209, 304, 383?\n\"Answer: -3*j**3 + 28*j**2 + 10*j + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uibni. What is prob of picking 1 u and 1 n?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25238*w - 24882*w - 5*w**2 + 50120*w + w**2 - 10*w**2.\nAnswer: -14*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 2 j when four letters picked without replacement from {i: 3, r: 7, e: 7, j: 2}?\nAnswer: 7\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 79715012 to the nearest integer?\nAnswer: 8928","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 414\/72 - (6 + -2).\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-21)\/(-14))\/(-1 + 50\/8). Which is the nearest to 1? (a) k (b) -2\/9 (c) 3\/22 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, f: 5, t: 3, c: 1, a: 1, k: 2}. Give prob of sequence tat.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one twentieth of a minute?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12865818 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 406 a factor of 958160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wvvjwvjj. What is prob of sequence wjj?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -3, -1\/2, 51, 4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**2 + 25*x + 55. Let q be s(-23). Suppose -q*r + 2*r + 3759 = 0. Is 26 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 60*f**2 + 971*f + 12. Give z(-16).\nAnswer: -164","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - 19 - (-5 + (6 - (12 - 6))).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3 - (-2)\/(6\/147). Let r = -30 + z. Calculate the smallest common multiple of r and 12.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 34070 and 90?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3102 + -1317. Calculate the common denominator of -1 + (i\/(-190))\/(-3) and 55\/8.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-10))\/((6678\/(-265))\/(-18)).\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -8*g + 43. List the prime factors of r(-5).\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + 141*m = 145*m + 14, 4*x - 4*m = 4 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11097859327 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -24, -34, -64, -126, -232, -394, -624, -934?\n\"Answer: -2*o**3 + 2*o**2 - 2*o - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 109 + (-14859)\/(267 + -140).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -15*a**4 - 81*a**3 - 48*a**2 + 2*a + 502418.\nAnswer: -60*a**3 - 243*a**2 - 96*a + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/15 (b) 160 (c) -0.3 (d) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4962*u**5 + 205*u - 1 wrt u.\nAnswer: -99240*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) 4\/621 (c) -17\/5498 (d) 1\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 6*t + 100. Let g be l(-16). Suppose 0*o = -o + 2*y + 2113, -g*y + 8 = 0. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4e208c (base 16) to base 7\nAnswer: -61343344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 482789 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4245501 + 1154?\nAnswer: -4244303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 437 - 468 + k + 10*k + 2*k**2 + 3*k**2. Let g be m(10). Find the third derivative of 50*w**2 - 577*w**5 + g*w**5 + 2 - 2 wrt w.\nAnswer: 120*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes after 8:11 PM?\nAnswer: 4:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-226)\/(-5) - (-64)\/80. What is the greatest common factor of m and 69?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 1334 = -5*o, 0 = -3*o - 2*r + 368 + 434. Suppose 26*y - o = 7*y. Calculate the remainder when 81 is divided by y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20001201000111 - 1101?\nAnswer: 20001200222010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 16*r**2 - 18*r - 18. Let h(n) = -3*n**2 + 3*n + 3. Let c(l) = -16*l**2 + 16*l + 16. Let f(d) = 2*c(d) - 11*h(d). Calculate 36*f(v) - 2*p(v).\nAnswer: 4*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a - 5*r - 13, -3*r + 20 = 29. Put 2, a, -33, 9, -5 in descending order.\nAnswer: 9, 2, a, -5, -33","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((d\/(d**(-5)\/d))\/d)\/d)\/d)\/(d\/(d\/(d\/(d\/(((d**(-2\/29)*d)\/d)\/d)))))*(d**0)**(-3\/2)*((d**1)**(2\/91))**(-24) assuming d is positive.\nAnswer: d**(11985\/2639)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put together 541.85 and -59.\nAnswer: 482.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 + 3)*(3*y - 4*y + 0*y) - y + 3*y + 0*y + (3 - 4 + 0)*(-418 + 418 - 31*y).\nAnswer: 34*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 - 0 - (-5 + 1). Let x be 9\/(-5)*5160\/(-36). Suppose -3*g + 3*b = -x, -71 = -g - 5*b - h. What are the prime factors of g?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 + -5. Suppose 0 = -i*r + 8. Find the third derivative of 2*v**4 + v**2 + v**4 + r*v**2 wrt v.\nAnswer: 72*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13 + 22. What is the smallest common multiple of m and 4?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*p**3 + 1965*p**2 + 70383*p - 72345.\nAnswer: -3*(p - 689)*(p - 1)*(p + 35)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*p - 14*j + 19*j - 13, -p - 3*j = -11 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1126 in 0.2, 2\/7, -2\/3, 1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 4*n = -g + 4, -4*g + 5*n + 16 = 0. Suppose 7*j - 120 = g*j. Calculate the remainder when j is divided by 23.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*j = -u + 31*j + 173, 3*j + 925 = 5*u. Calculate the highest common divisor of u and 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 35\/1023 and -4\/433845.\nAnswer: 4772295","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 8, u: 3, v: 6, n: 1, p: 1}. Give prob of sequence nvp.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3342688163 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q + 4*d - 16, -7*q + 3*q + 5*d = 17. What is the remainder when 2\/13 - 63\/(-13) is divided by q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -261192845*v**3 - 82812*v**2 - 567*v wrt v.\nAnswer: -1567157070","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4 + (-4)\/12*11. Which is the closest to -1? (a) x (b) 0 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2797 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the second derivative of 0 + 2*m + 1\/12*m**5 + 25\/12*m**4 + 125\/6*m**3 + 15\/2*m**2. Let z(u) be the first derivative of w(u). Solve z(h) = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 877357\/28 + -31331. Find the common denominator of 119\/6 and w.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - p = 4. Let a = p - -3. Let n(l) = -5*l**2 + 5*l + 5. Let g(d) = 6*d**2 - 6*d - 6. Let b(o) = 6*g(o) + 7*n(o). Determine b(a).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -77914 + 162063. Let f = 35149 - c. What is f rounded to the nearest 10000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3846077 - -4089.\nAnswer: -3841988","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g - 3*g + 4*g)*(4*g - 4*g - 3*g**2).\nAnswer: -3*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -16*z**2 + 21*z + 31. Determine q(-5).\nAnswer: -474","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, b: 1, l: 1, h: 1}. What is prob of picking 1 h and 1 b?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 912 = 3*d - 4*v, -v = 5*d - 2*v - 1520. What is the hundreds digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 1332 = 8*l - 6*l, -5*l + h = 3307. Which is greater: l or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, q: 3}. What is prob of sequence qoq?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24650785.\nAnswer: 5, 4930157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minus 14285310633339?\nAnswer: -14285310633337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 464496?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*k + 27*k - 57 = 3*y - 3*y - 9*k, 0 = 5*y - 5*k + 110 for y.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*s + s + 0*s)*(-5 + 2*s**2 - s**2 - 8) to j*s**2 + w*s**3 + h*s + n and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -3*y - 5*u, 7 = -0*y + 2*y + u. Factor 16*s**4 - 2*s**3 - 3*s + y*s**3 - 4*s**4 - 12*s**2 + 2*s**3.\nAnswer: 3*s*(s - 1)*(s + 1)*(4*s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -5, 14 in ascending order.\nAnswer: -7, -5, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 99059272 a multiple of 221?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 24570 to the nearest integer?\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2455033294?\nAnswer: 2, 7, 23, 7624327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4\/2 - 2) + 5. Suppose q - 10 = -b - 0, m*b = -2*q + 14. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 7*v**2. Let d(p) be the first derivative of -5*p**3\/3 - 46. Determine x(d(t)).\nAnswer: 175*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*y**2 + 1 + 3*y**2 - 3)*(92 - 9*y**2 - 199 + 62)*(-1 + 6 - 2) to f*y**3 + v*y + p*y**2 + o*y**4 + j and give j.\nAnswer: 270","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + (25 - 9) + -7.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = m - 1416. Suppose 67*t = 65*t + m. What are the prime factors of t?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w = h - 14, -w + h + 18 = 27 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -4989 divided by -4\nAnswer: 4989\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16 + -11. Let z be (-8)\/(-10)*l\/2. Solve -b + 11 = -2*w - 0*w, -z*w = 5*b - 7 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in six fifths of a day?\nAnswer: 1728","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7805 = -227*p - 4218 + 4131 for p.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 17995.623 + -23226.3632816. Let t = o - -5190.7403. Let v = t + 40. What is v rounded to 6 dps?\nAnswer: 0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -256430055 divided by -85476685\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 6383*s**4*z - 6*s*z + 9931*z wrt s.\nAnswer: 25532*s**3*z - 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 566 and 5289553?\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 34*h - 392. Let r be x(12). What is the highest common factor of 1392 and r?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 16 (b) 0.5 (c) -5 (d) -0.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 203\/780 and 57\/130.\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4763 and 152437217.\nAnswer: 433","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 905129 is divided by 226281.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11084607 divided by 5.\nAnswer: -11084607\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 e when four letters picked without replacement from lexleelleblf.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12, -686, -1808, -3378, -5396?\nAnswer: -7862","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -16500379*o**2 - 16053190*o wrt o.\nAnswer: -33000758","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 745.92 take away 0.07534?\nAnswer: 745.84466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 15109*i + 15113*i = -67, -42 = 2*g + 3*i. Factor 0 - 3*q + g*q**3 + 1\/5*q**4 - 1\/5*q**2.\nAnswer: q*(q - 1)*(q + 1)*(q + 15)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -3*d**3 - 2*d**2 + d - 2. Does 3 divide c(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 15581244*o**4 + 6629*o + 345.\nAnswer: 186974928*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1659.\nAnswer: 3, 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-21)\/(-14)*10\/(-3). Suppose -4*n - 2 = -42. Let w = q + n. Solve i = -0*i - w for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the third derivative of k**6\/120 - k**5\/15 - 11*k**4\/24 - k**3 + 11*k**2. Factor q(s).\nAnswer: (s - 6)*(s + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2 + 3)\/1)\/375. Let c = n - -5617\/3000. Calculate the common denominator of (-6)\/105 + (-20)\/25 and c.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/20)\/(2\/8)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 134 by 98.\nAnswer: 67\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 2*p**3 - 27*p**2 - 12*p - 4. Let y be t(14). Suppose -u = 3*w - y, 60 = 4*u - w + 3. Does 4 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/11 (b) -0.266 (c) -1 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 46680 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 410 - 408. Find the second derivative of -z - 47 + z**2 + 160 - 2*z**3 - 8*z**i wrt z.\nAnswer: -12*z - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -6 + 35992?\nAnswer: 35989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 2*w. Let f(z) = -28*z**2 - 561. Let k(i) = -61*i**2 - 1130. Let j(x) = 9*f(x) - 4*k(x). Determine q(j(l)).\nAnswer: -16*l**2 - 1058","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -63515215 (base 7) to base 10.\nAnswer: -5382466","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -5*l**3 + 71*l**2 - l - 9. Let w(o) = 9*o**3 - 142*o**2 + 2*o + 15. Determine -5*m(d) - 3*w(d).\nAnswer: -2*d**3 + 71*d**2 - d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.43 + -1.576. Let g = f - 1.854. Put 5, 11, g, -1 in ascending order.\nAnswer: g, -1, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -54275 - -84801. Let v = c + -454997\/15. Let s = -193 + v. Which is bigger: s or -1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-36)*912\/7980)\/((-6)\/(-10)).\nAnswer: -1\/63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 79706117 is divided by 1366?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the third derivative of -u**4\/12 - 2*u**3\/3 + 123*u**2. Give s(-10).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 40717*i - 21213547. Calculate l(521).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 2 + 6 = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -3 times 5958365\nAnswer: -17875095","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2248, -4512, -6776, -9040, -11304?\nAnswer: -13568","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -p - 97*p**2 + 56 + p + 6*p**2.\nAnswer: -91*p**2 + 56","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 124 a factor of 489523?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 718.0089 litres?\nAnswer: 718008.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q - q + 5*q)*(-3*q + q**2 + 3*q) + (-17*q**2 + 14*q**2 - 13*q**2)*(2*q - q + 0*q - 2).\nAnswer: -13*q**3 + 32*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -90.49 - 12.81. Let p = -103 - l. Let w = -1.3 + 0.3. Put p, -1\/2, w, 7 in descending order.\nAnswer: 7, p, -1\/2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 3*s - 11 = 0, -s + 23 - 8 = 2*z. Let a(x) = x**3 - 5*x**2 - 5*x + 5. What is the lowest common multiple of a(6) and z?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8468464573 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 + 1. Let v be -5 - (-1 - 20\/6). Which is the smallest value? (a) p (b) v (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 153413216 to the nearest integer?\nAnswer: 535","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5647*y + 5751*y - 12166*y to the form w*y + n and give w.\nAnswer: -768","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -313*x**3 - 6*x - 2. Let j(h) = -623*h**3 - 10*h - 3. Give 5*f(k) - 3*j(k).\nAnswer: 304*k**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*l - 13*l - 5*a + 65 = 0, a - 5 = 0. Let k be (l\/(-6))\/(6\/1971). Suppose -2*g + 739 = 5*t, 17*g - k = -3*t + 14*g. What are the prime factors of t?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 + -26. Let s = -16 - p. What is the nearest to -1 in -0.4, s, 0.1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -13474 - 46484?\nAnswer: -61068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(-10)*-2*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 138 - (18 - (-269 + 266 + (2 - -23))).\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g + 214 + 388 = 0. Let s = g - 257\/3. Factor -1\/3*y + 2\/3*y**3 - s*y**4 - 1\/3*y**5 - 1\/3 + 2\/3*y**2.\nAnswer: -(y - 1)**2*(y + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the third derivative of w**7\/168 + w**4\/12 + 2*w**2. Let d(f) be the second derivative of i(f). Let u(z) = 2*z**2. Determine u(d(a)).\nAnswer: 450*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from {p: 8, e: 1, c: 1, j: 1, i: 4}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (((-5)\/7)\/((-2768)\/(-1211)))\/5\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1277, 4170, 8993, 15746, 24429, 35042?\nAnswer: 47585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(720) + (-2*sqrt(5) + -1 - sqrt(5)).\nAnswer: -2 + 9*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1315332012 (base 6) in base 11?\nAnswer: 8924715","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*g - g - 3*g)*(960 - 5609 - 4849) to c + f*g and give f.\nAnswer: 18996","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, -3.054, -32?\nAnswer: -3.054","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6061*x**3 + 1589*x?\nAnswer: 36366*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**3 - 4*h**2 + 19*h + 20. Let i(b) = 39*b - 2*b**3 - 1 + 43 - 2 - 7*b**2. Let d(g) = -2*i(g) + 5*s(g). Is 4 a factor of d(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the third derivative of -127*j**4\/24 - 16*j**3\/3 - j**2 + 1. What is the derivative of p(y) wrt y?\nAnswer: -127","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9 - 14. Let g be 19\/38*0\/(-2). Suppose 5*w = 2*w + 2*v - 2, 4*w - 2*v = g. Which is the biggest value? (a) w (b) -3 (c) q (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in eleven eighths of a kilometer?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 - -3173)\/(-3)*10\/20. Let v = f + 1274. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 + 3)*17\/34. Suppose -3*l + 39 = 3*x, 24 = -0*l + 3*l - s*x. What is the least common multiple of l and 9?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 70ab + 0?\nAnswer: 70ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes before 5:14 AM?\nAnswer: 12:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 120 = 2*z. Let v be (-3 + 1)*(-6)\/z. What is the second smallest value in 3, 0, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and -7223044.\nAnswer: -2166913.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*a**2 + a**2 + 33*a**2 + 0*a**2 + 3*a**2.\nAnswer: 4*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g = -r + 8, 3*r = -2*r - 10 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.1866 - 1.8866. Which is smaller: -1\/229 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 93 - 93 + m + 0*m.\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9517.6 + -5017.9.\nAnswer: -14535.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 153767 is divided by 21917?\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 56 + -23. Let w = 599 - 593. Suppose -w*z + 63 = -a. Solve 0 = 3*o + o + z for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-2)\/2)\/((-2)\/4). Find the third derivative of -8*u**3 - 5*u**2 + 2*u**3 - 10*u**3 - 9*u**s wrt u.\nAnswer: -96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29213 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 3\/7 (b) -20 (c) 24 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 60896, 60905, 60898, 60857, 60764?\n\"Answer: -3*j**3 + 10*j**2 + 60889","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 71684*d + 71672*d + 71673*d - 215028*d.\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 414*j + 409*j + 30 + 24 + 57 - 809*j as o + u*j and give u.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 20794464, 20794463, 20794462, 20794461?\n\"Answer: -y + 20794465","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1165 - 1101.3. Let i = f - 64. What is the second biggest value in i, -1\/6, 2?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-9)\/6 - (-57)\/2. Let u be 2\/3 + (-14)\/(-6). Calculate the greatest common factor of u and f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 4 - 6 = -5*r, -s - 1 = 4*r. Let n be (1 + 19)*3*1\/s. Solve 0*d - n = 5*d - 5*g, 4*g = -d - 4 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -1, -5, -4, 1569, 102 in decreasing order.\nAnswer: 1569, 102, -1, -4, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 41197 and -0.024?\nAnswer: -988.728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4, -599, 1.38, -3, -5.\nAnswer: -599, -5, -3, 1.38, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the second derivative of m**4\/4 + m**3\/3 + m**2\/2 - m. Let k(v) = -v**2 + 3*v + 1. Let y be k(4). What is the least common multiple of p(y) and 14?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 5*w. Let m be i(1). Let j(b) = 5*b + 30. Let f be j(-6). Suppose 0 = m*l + y - 929, f*y = -y + 4. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:17 PM and 2:50 PM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2012 - 14107\/7. Suppose -4*j - 5*i + 7*i = 0, 11 = -5*j - 3*i. Calculate the common denominator of 4 - 86\/(-20) - j\/2 and q.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*s**5 + 833*s**4 - 2069*s**3 - 420*s**2 + 2484*s = 0. Calculate s.\nAnswer: -1, 0, 3\/2, 2, 414","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 + 58 = 13*z - 91 for z.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in three tenths of a kilometer?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.567045876 rounded to four decimal places?\nAnswer: 2.567","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*4\/((-12)\/(-3))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 157\/15 + -31\/3. What is the third smallest value in 0.3, 0.1, z?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.17 - -3.83. Let y = -0.36 - -0.06. Which is the second biggest value? (a) y (b) -3 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1228488278 to the power of 1\/3, to the nearest integer?\nAnswer: 1071","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -68, 2, -1, 0 in increasing order.\nAnswer: -68, -5, -1, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6db (base 14) to base 10.\nAnswer: -1369","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 166 - 163. Suppose -3*p = z - 59, z - k*p - 213 = -2*z. What are the prime factors of z?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 42*n**3 + 23*n**2 - 3526. Let i(p) = -11*p**3 - 6*p**2 + 882. Give -23*i(j) - 6*x(j).\nAnswer: j**3 + 870","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 2*o**3 - 6*o**2 - 12*o + 6. Give s(5).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the third derivative of -m**8\/40320 + m**7\/5040 + m**5\/15 - 2*m**2. Let g(b) be the third derivative of z(b). Factor g(s).\nAnswer: -s*(s - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**3 - 3*y**2 + 13*y - 9. Suppose 2*q = 3*d + 32 - 50, 4*d = -3*q - 10. Determine m(q).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -263 + 51. Let n = 119 + d. Let y be (90\/n + 1)*-2. Which is smaller: y or 0?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**2 + 2*v + 411. Let x be i(21). Calculate the greatest common factor of x and 796.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -789*l + 2284. What are the prime factors of g(-13)?\nAnswer: 12541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -0*w. Suppose w = -4*z + 12. Solve -u = -5*s - 2, z*u - 7*u + 5*s = 7 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the second derivative of -z**4\/3 + 37*z. Let b(f) = -3*f + 4. Calculate b(k(j)).\nAnswer: 12*j**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 275153922 a multiple of 621?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1230 + -1224. Solve 7*n - 2 = d*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:10 AM and 7:57 PM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -4846.8851 and -1465.3?\nAnswer: 3381.5851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 52949 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 78274?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*w - 17153 = -103773 - 30245. What are the prime factors of w?\nAnswer: 3, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.5 + 0.52. Let a = x + -0.0205. What is a rounded to 3 decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the third derivative of t**5\/60 + t**4\/12 + 181*t**3\/2 - 8*t**2 + 4*t. Is 49 a factor of m(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -2*y**3 - 6*y**2 + 134*y - 117. Determine a(7).\nAnswer: -159","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -2*i - 14. Let x = -18 - -12. Let u be t(x). Let v be -2 - 0*u\/(-6). Let j(y) = 2*y**3 + 2*y**2 - 2*y. Calculate j(v).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 144249028.\nAnswer: 2, 7, 11, 103, 4547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-2)*-7*243*1328\/(-31374).\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 767480405 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*s - 2. Let d(h) be the third derivative of h**5\/60 - 7*h**4\/12 - h**3\/6 - 75*h**2. What is the lowest common multiple of d(15) and s?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -3*s**4 - 19044*s**3 - 44592480*s**2 - 45408505200*s - 16827484626000 = 0?\nAnswer: -1790, -978","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 4 = 9*o. Which is the second biggest value? (a) -8 (b) 5 (c) o (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes after 6:44 PM?\nAnswer: 1:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8533 + 16058. List the prime factors of n.\nAnswer: 5, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, -4, -3\/2, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1714879 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5602*t - 5605*t + 11 = -4*f, f - 4*t = -6 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes before 12:50 AM?\nAnswer: 5:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -17 + 7 - (1 - -1). Let v be (-2)\/12*1 + (-1670)\/l. Suppose -3*i + 0*n = -3*n - 186, 3*n - v = -2*i. Does 13 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40944702 is divided by 503.\nAnswer: 502","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14955.00006311 + 14955. What is n rounded to 6 dps?\nAnswer: -0.000063","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2160\/(-405)*(-9)\/2?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.8, -5925, 1\/21?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 32428, 36491, 40554?\n\"Answer: 4063*l + 28365","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 6\/1997 (b) 50\/11 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 13\/8 of a meter?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1149165 or -1149616?\nAnswer: -1149165","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 4, w: 2, e: 1, k: 2, h: 3}. Give prob of picking 1 k and 2 b.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22661026*t + 2 = -22661028*t - 2*z, 0 = 5*t + 3*z + 15 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**3 + v**2 + 10. Let t be y(0). Let s = -25\/2 + t. Which is the biggest value? (a) 2 (b) -0.4 (c) 2\/13 (d) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2867\/2300 - 2\/575. Let w = 0.2 - 0.3. What is the second smallest value in b, -5\/7, w?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51.8635 rounded to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -18590 + 18614. What is the lowest common multiple of 72 and j?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6906*s - 8924*s - 6316*s - 7085*s to the form q*s + x and give q.\nAnswer: -15419","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 845422?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -194\/5*r**2 - 2\/5*r**4 + 528\/5*r - 288\/5 - 44\/5*r**3.\nAnswer: -2*(r - 1)**2*(r + 12)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.61455*4\nAnswer: 6.4582","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -16539 + 16538. Sort -2, 1159, a.\nAnswer: -2, a, 1159","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t + 13. Suppose -4*o + 5*b - 21 = 8, -5*b - 48 = 3*o. Let w(a) = -a + 7. Let i(r) = o*w(r) + 6*f(r). Calculate i(2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 505029310.\nAnswer: 2, 5, 19, 2658049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(-2\/49))**(-17) assuming z is positive.\nAnswer: z**(-799\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 2*y**3 - 9 + (-4*y**3 + 2*y**3 - y**3)*(-3 - 1 + 2))*(-2*y + 1 - 1).\nAnswer: -8*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 29\/5 of a tonne?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3492 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 111100100 (base 2) in base 13?\nAnswer: 2b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 16\/5*x - 264\/5*x**2 + 252\/5*x**3 + 32\/5 = 0. What is x?\nAnswer: -2\/7, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 42*k*w**4 + 127186*k + 1734*w**2 + 2 wrt w?\nAnswer: 168*k*w**3 + 3468*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l + 2*l + 5*l)*(-2 + 296*l**3 + 2 + 134*l**3).\nAnswer: 1720*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -557*h - 5060 = 2738 for h.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10 + -22. Let j be ((-15)\/(-45))\/((-2)\/l). Suppose -p + j = -3, -p + 204005 = 4*k. What is k rounded to the nearest 10000?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((3\/(-129))\/((-45)\/(-18)))\/(220\/275)*-2?\nAnswer: 1\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 15*t**3*v**2*w - 66*t**3*w**2 - 2*t**2*v*w - t**2*v - 4*t*v**2*w**2 - 8*t*v + 9*w**2 wrt t.\nAnswer: 90*v**2*w - 396*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the second derivative of 3*l**5\/20 - 7*l**4\/12 + 2*l**2 - 78*l. Factor g(u).\nAnswer: (u - 2)*(u - 1)*(3*u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 162 - 155 + 2*u - 4*u**4 + 0*u + 2*u**2 to b*u + k*u**2 + a + c*u**4 + r*u**3 and give a.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -35*v + 38*v + 3 - 1 + v**4 - 3*v**4 as a + i*v**2 + x*v**4 + k*v**3 + u*v and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 6, b: 4, o: 7}. Give prob of picking 3 b and 1 y.\nAnswer: 6\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 3 = 1, -4*x + 16 = -2*u. Let d(t) = t**3 + t**2 + t + 35. Is d(u) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88*x + 80 = -84*x. What is the third derivative of 1 - 14*s**2 - 4*s**4 - 7*s**5 - x*s**2 + 33*s**2 wrt s?\nAnswer: -420*s**2 - 96*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the third derivative of y**7\/2520 + 5*y**4\/8 + 259*y**2. Let c(w) be the second derivative of v(w). Let r(b) = -39*b**2 + 2*b. Give r(c(s)).\nAnswer: -39*s**4 + 2*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 579 + -576. Suppose 912 = v*i - 3*k, 5*i - 3*k + 268 - 1798 = 0. What is the tens digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68834400 = -168*c + 211978296. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*b = 6 + 40. Solve 25 = -5*q - 0*q, b*y - 15 = 3*q for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10787629 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(468) + 4)*-4)**2 + -5 + 1.\nAnswer: 768*sqrt(13) + 7742","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/42)\/((-4)\/144*6)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 167531 and 128870?\nAnswer: 1675310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1540742 and 1503.\nAnswer: 13866678","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 4*f + 0*f + 113 = 0, 4*b + 4*f - 132 = 0. Let n = b - 43. Let d(s) = -s**3 - 9*s**2 - 8*s + 3. What is the remainder when 9 is divided by d(n)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -248345 (b) 31 (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 38.6022042 rounded to 1 decimal place?\nAnswer: 38.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 1 l when three letters picked without replacement from ovloooojooloooooo.\nAnswer: 39\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -83, -1225, -2365, -3503?\n\"Answer: f**2 - 1145*f + 1061","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23, 41, 2\/3, 0.4, 0.2, -2\/17 in descending order.\nAnswer: 41, 23, 2\/3, 0.4, 0.2, -2\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*f - f**2 - 39*f - 47*f**3 - 41*f**3.\nAnswer: -88*f**3 - f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 111*l - 15. Let j be o(-5). What is j rounded to the nearest 100?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 160 is divided by 55?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the third derivative of 361*z**6\/60 - 17*z**4 + z**2 - 467. What is the second derivative of p(n) wrt n?\nAnswer: 4332*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let a be 3 - (-3)\/(-6 + 3). Let u = 2459 + -2456. Suppose -u*o - 5*t + 346 = -100, 0 = a*o - 5*t - 264. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11281334 a multiple of 62?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.004 + -0.87. Let p = 3.454 - y. Let o = 3.3199706 - p. What is o rounded to 6 decimal places?\nAnswer: -0.000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**2 - 339*l - 3501. Give r(-10).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 167 divide 7348?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (n + 0 + 0)*(4162 - 7531 + 4073) + 0*n - 5*n - 2*n in the form o + l*n and give l.\nAnswer: 697","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 120110671 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6.4 + -14.4. Which is the third biggest value? (a) t (b) 0 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 216 is divided by 48?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h**2 + 0*h**2 - 3*h**2)*(0*h**2 - 2*h**2 + 4*h**2) + 0*h**4 - h**4 - h**4 + (32*h - 32*h - 23*h**2)*(7 - 14*h**2 - 7).\nAnswer: 318*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16729 - 7379. What is the thousands digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - z + 212920 = 4*z, 0 = 4*h - z - 170326. List the prime factors of h.\nAnswer: 2, 3, 47, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -o**4\/2 - 25*o**3\/2 + 71*o**2 - 118*o + 60 = 0.\nAnswer: -30, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -31092, -31118, -31142, -31164, -31184?\n\"Answer: d**2 - 29*d - 31064","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.971 + -0.029. Sort i, 0.5, 1\/6 in descending order.\nAnswer: 0.5, 1\/6, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 378572?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -c**4 + 6655*c**3 + 730087*c**2 + 2143661*c + 1420230 = 0.\nAnswer: -105, -2, -1, 6763","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 39 + -11. Let v = g - 35. Calculate the remainder when -1 + 52 + (v - -6) is divided by 18.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 406449229 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 24*j + 52. Let p be y(-2). Let a = 2 + -5. Let z = a - -3. Solve -p*q - q = z for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (38*x + 2*x - 5*x)*(18 - 12 + 10).\nAnswer: 560*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.3 (b) -245 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:05 PM and 2:20 AM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the first derivative of 0*s - 7\/5*s**2 - 2\/15*s**3 - 37. Suppose n(j) = 0. Calculate j.\nAnswer: -7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v. Let j(l) = l**2 - 4*l + 1. Suppose 4*h + 21 = h. Let u(z) = h*b(z) - 2*j(z). Let k(c) = -c**2 + 1. Give -2*k(o) - u(o).\nAnswer: 4*o**2 - o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 157 is divided by 19.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-25484)\/(-31855)*(262\/(-8) - 4\/(-16)).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -15 + 12. Let o(a) = -4*a - 6. Let g be o(r). Solve 3*k + 0 = 3*x + g, -5*x = 10 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2402984 to the power of 1\/2, to the nearest integer?\nAnswer: 1550","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 81 < 81?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 16703946 by -63.\nAnswer: -265142","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -u - 1. Let g be -65 - (u - (-15)\/(-5)). Let b = g - -375. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) -18 (b) -1 (c) 0.4 (d) -0.2 (e) -30\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -9*b**4 + 16258*b**3 + 91775*b**2 - 2132600*b + 6342000 = 0. Calculate b.\nAnswer: -140\/9, 5, 1812","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 8*x**2 + x. Let f(n) = n**3 - 7*n**2 + 5*n + 5. Let g be f(6). Let b be y(g). Suppose b*a - 10 = 2*a. Solve r = -i + 2, a*r - 3*r + 5 = 4*i for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -1 + (1 - 4) - (-10 + 48 - 29)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 109989 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, 3\/7, -0.22?\nAnswer: -0.22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -71458, 3, 81 in ascending order.\nAnswer: -71458, 3, 81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 94 + -124. Let a = -22 - b. Solve 9*y = 7*y - a for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -1484*w + 9. Let b(p) = -299*p + 2. Determine 19*b(i) - 4*c(i).\nAnswer: 255*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1620)*1)\/(-3*sqrt(20)\/sqrt(2))*1.\nAnswer: -3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 9 = -2*j - f, 5*j = -4*f + 40. Solve n - 11 = -4*s, -s - s = -j for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 2*k**2 + 6*k + 3. Let t be d(-6). Let p = t + -21. What is the highest common divisor of p and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61 is divided by 31.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95 + 23 = -12*p - 24*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -224 + 5*m - 3*m + m + 235.\nAnswer: 3*m + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -36 divided by -1\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-285*o**3 + 1075*o**3 + 1329*o**3)*(0 + 0 + 2*o).\nAnswer: 4238*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 191972370.\nAnswer: 2, 3, 5, 79, 81001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 38119, 152797, 344041, 611851, 956227, 1377169?\nAnswer: 1874677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the first derivative of 1503*u**5\/5 - 75*u + 1003. Differentiate r(m) wrt m.\nAnswer: 6012*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -1139.1154 - -23?\nAnswer: -1116.1154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**3 - 6*f**2 - 6*f - 5. Let a be v(7). Suppose -2*p - 16 = a*p. Let w = p - -15. What are the prime factors of w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0173172 to two dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 6*f - 4. Let x(a) = -a**2 + a + 17. Calculate the remainder when l(9) is divided by x(0).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -3, -57, -5, -11, -10 in decreasing order.\nAnswer: 8, -3, -5, -10, -11, -57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -5277 divided by -3?\nAnswer: 1759","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -4\/3, -1\/4, 59, 6\/5, -0.278?\nAnswer: -0.278","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -30 - -29. Let l be 8\/18*6\/4. Which is the third smallest value? (a) 5\/4 (b) l (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.29 - -0.11. Let v = -8419 + 8420. Sort v, h, -5, 0.5 in descending order.\nAnswer: h, v, 0.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + c - 4*j - 18 = 0, -4*j = 3*c + 3. Suppose -10 = -2*s - 2*k, c*k - 1 = 4*s - 0. Find the third derivative of -2*p**6 + 0*p**2 - p**s + 0*p**6 wrt p.\nAnswer: -240*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 19\/7 of a week?\nAnswer: 27360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -4*5\/(-60) + 17\/(-51). Suppose -2*d + 8 = -4*t, -8 - 2 = 2*d + 5*t. Suppose k = -d*k. Solve x*c + 2*c + 8 = k for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 89.50912 litres?\nAnswer: 89509.12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 3*r + 4*a - a, -4*r - 3*a = 20. Let v(w) = -14*w - 23. Let q(d) = -5*d - 8. Let c(k) = 8*q(k) - 3*v(k). Calculate c(r).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12496 (base 11) in base 8?\nAnswer: 42744","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:20 AM and 9:05 PM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 2864\/72 + (-19200)\/10800\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-3\/5)\/(k\/(k\/(k*k**6*k)*k)))**(3\/19)\/((k\/(k\/((k**(-2)\/k)\/k)))\/(k\/(k**(-3\/2)*k)))**36 assuming k is positive.\nAnswer: k**(984\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (-8)\/((-8)\/(-2))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 111*c + 167*c - 23*c - 5588 = 0 for c.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1636 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) 3 (b) -0.2 (c) -0.08\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 8 + 7*n)*(-33 + 33 - 18*n**2 - 3*n**2 + 3*n**2 + n**2 + 4*n**2 - 4*n**2 - n**2 + 3*n**2 + 2*n**2 - 4*n**2 + (-3*n + n + 4*n)*(n - 5*n + 5*n)).\nAnswer: -105*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -40\/33, 0.3, -0.3, -198.\nAnswer: -198, -40\/33, -0.3, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 f when two letters picked without replacement from aafzzddzkazdzkk.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((t*t**(-7\/6))\/t)\/t)\/t)**(2\/13) assuming t is positive.\nAnswer: t**(-19\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -11*i + 59. Let z be x(5). Let u be (-7)\/14*z\/1. List the prime factors of (33 + 0 - -5)*(-5)\/u.\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (25689\/21 - 4) + 6\/(-21) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand z**2 + 0*z**2 - 1 - 6 + (-1 + 1 - z)*(-2*z - z + 2*z) - 2*z + 2*z**2 + 2*z.\nAnswer: 4*z**2 - 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 608630 is divided by 3506.\nAnswer: 2092","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 315 and 3015.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.065 + -169.065. Let p = n + 164. Sort -1, 8, p.\nAnswer: p, -1, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) 11.1 (c) -0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -383? (a) 203 (b) 2\/11 (c) -0.1 (d) -6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5624? (a) 2\/7 (b) -0.14 (c) -1\/8 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 4*d - 107, 0 = -n - 4*d + 9*d + 71. Suppose 0*y + 93 = 3*y. Calculate the remainder when n is divided by y.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 4*g + 177 = 0, -4*b = -3*g + 6*g - 141. Calculate the greatest common factor of b and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z + 5, -26 = -y - 0*z + 4*z. Let r(f) = -f**2 + 7*f. Let v be r(y). Let x = v - 8. Which is the biggest value? (a) x (b) -1 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (33 + -40 - (-19 + 2 + 2))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*v - 5*v + 2*v)*(-24 + 23 - 19) + (0 + 0 - 2*v)*(3 - 6 + 2))*(-5 - 2 + 4).\nAnswer: -66*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 8 = 24. Let d(j) be the third derivative of j**4\/24 - j**3\/6 + 2*j**2. Calculate the remainder when 4 is divided by d(b).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes after 11:21 AM?\nAnswer: 3:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the third derivative of 0 + 7\/3*y**3 - 24*y**2 - 1\/12*y**4 + 0*y. Let d be s(6). Solve -d + 10 = 2*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 0*m - 14 = -2*m, g - 11 = -5*m. Let i = 6 - 6. Suppose k - y = y + 7, i = -4*y - g. Is k != -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6806 - 126065*r**2 + r - 6806.\nAnswer: -126065*r**2 + r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 607216.\nAnswer: 2, 37951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76*z - 335 = -81*z. What is the remainder when z is divided by 35?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - g - 5126 = 6951, -v - 5*g = 3005. Round v to the nearest 100.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26381 = 3*v + 60667 - 7608. Round v to the nearest 10000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20*b - 41*b - b**4 - 4*b**2 + b**3 - 8*b**4 + 11*b**4 - 3*b**2 to i*b**4 + r*b + l*b**2 + k*b**3 + o and give l.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*j = -2506 - 893. Find the third derivative of j*t**3 - 17*t + 4*t**2 + 5*t**6 + 10*t**6 - 310*t**3 + 4*t wrt t.\nAnswer: 1800*t**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 436201 to the nearest integer?\nAnswer: 660","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6569, 5698, 4827, 3956, 3085, 2214?\nAnswer: 1343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let r be (202\/112)\/((-150)\/(-35)). Let n = 2272\/15 - 751\/5. Let d = r + n. Find the common denominator of d and 61\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1286 + -322. Suppose -j + 3*j = -5*t + 1219, -4*t + 4*j + k = 0. Suppose 0*d = -3*d + t. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 2*c. Let k(r) be the third derivative of 0*r**3 - 1\/4*r**4 + 2*r**2 + 0*r + 0. Give k(q(n)).\nAnswer: -12*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 68*o - 19. What is the tens digit of g(3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**3 - 15*w**2 + 2*w + 11. Let p(o) = -o**3 + 16*o**2 - o - 11. Let u(z) = 6*p(z) + 7*q(z). Calculate the remainder when 20 is divided by u(8).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**3 - 69*p**2 + 24. What is the smallest common multiple of 24 and v(-69)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 131736?\nAnswer: 2, 3, 11, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1.8 or -498641?\nAnswer: 1.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -25*k. Let p(t) be the second derivative of -2*t**4\/3 - 4*t + 30. What is p(z(g))?\nAnswer: -5000*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 2 f when four letters picked without replacement from {z: 2, f: 4, e: 6}.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13 and 553002736.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 156110 and 176880.\nAnswer: 670","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 99, 4, -3, -4, -8, 6 in ascending order.\nAnswer: -8, -4, -3, 4, 6, 99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20 and 32845.\nAnswer: 131380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**6*n)\/n*n*n)**(-3\/17) assuming n is positive.\nAnswer: n**(-24\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 12*i. Let c be g(1). Let l be 3\/2*40\/c. Let f(o) = -5*o + l*o - o**2. Let w(r) = 3*r**2. Give f(w(m)).\nAnswer: -9*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 3 + -5 - -6 - (6 + -2)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.02 + 0.02. Which is the smallest value? (a) 0.2 (b) -6 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5348, -5317, -5286, -5255, -5224, -5193?\nAnswer: -5162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*g**2 + 2*g**2 - 2*g**2)*(-1 + 1 - 1)*(4 - 4 + g) + 20*g**3 - 74*g**3 + 32*g**3 as h*g**3 + c + q*g**2 + w*g and give h.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19061699 is divided by 358?\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the second derivative of 2*w**3\/3 + 2*w**2 - 11761*w. Let q(r) = 3*r - 1. Let x be q(-2). Give y(x).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -47 - -50. Suppose -5*v - 23434 = 2*j, 7*j - 4*j - i*v + 35130 = 0. Is 30\/(-12)*(j\/10 + -2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -323 times 0.4\nAnswer: -129.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o - 628*c + 629*c = -6, -c = -4*o - 15 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2762 and 830.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 766 + 2261 = 3*t. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.48883168 to three dps.\nAnswer: 0.489","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, l: 10, s: 1, v: 3, u: 3}. Give prob of sequence ls.\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20 and 2270?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 342204722.\nAnswer: 2, 31, 1979, 2789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 115 - 127. Let i be 4\/(j\/(6 + -4) + 8). Find d such that -3\/8*d - 9\/4 + 3\/8*d**i = 0.\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1073*b**5 - 2*b**2 - 4*b - 81.\nAnswer: -64380*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -36.453 * -4\nAnswer: 145.812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22 (base 9) to base 12.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 237 - -853. Does 109 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l = -3*l. Let i be 2\/6*(l - -9). Suppose -2*s = 4*x - 40 - 2, 0 = -2*s + i*x + 56. Calculate the greatest common factor of 25 and s.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r + 0*r + 0*r)*((r**3 - 2*r**3 + 0*r**3)*(-5*r + 6*r - 2*r) + 0*r**4 + r**4 - 3*r**4 + 200 - 14*r**4 - 200 + r).\nAnswer: -15*r**5 + r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2\/9 of a day?\nAnswer: 19200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.903 + 0.803. What is the second biggest value in -15, d, -5, 2\/5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (-1 + sqrt(11) + sqrt(77)\/sqrt(7))*-6 + -2)**2.\nAnswer: -144*sqrt(11) + 1620","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -6*u - 11. Let t be y(-8). Suppose 25 - t = -r. What is the remainder when 58 is divided by r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 48 + (-46 + 53 - -38) + -121\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2654*z**2 - 7518 + 1119*z**2 + 2117*z**2 - 1214*z**2 + 3990*z**2 wrt z.\nAnswer: 17332*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 58 + -58. Let c be 8\/(-2)*(-15)\/12. Suppose 5*w + 220 = 4*b, s = 2*b - c*w - 74 - 46. Calculate the remainder when b is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 5*p**2 + 3*p**3 + 11*p + 10*p - 16*p + 4. What is the hundreds digit of l(6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 871 (b) 53 (c) 0.6 (d) -2\/425\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11608049 is divided by 637.\nAnswer: 635","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 214883 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -161\/120 and 149\/1047360.\nAnswer: 1047360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4562 divided by -1?\nAnswer: -4562","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(192) - (sqrt(192) - 1*sqrt(192)))\/sqrt(6) - (sqrt(512) - (sqrt(512)*1 + sqrt(512))**2)).\nAnswer: -4096 + 24*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -218 - 8615 - 9138 = 1793*m - 1834 for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -181*k**2 + 2*k + 6. Let v(r) = -r**2 + r + 1. What is -n(j) + 6*v(j)?\nAnswer: 175*j**2 + 4*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 61, 149, 235, 319, 401, 481?\nAnswer: 559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -2*b + 3. Suppose -4 = -0*p - 2*p. Let y be (3 + (-4)\/p)\/3. Put b, y, -0.5 in descending order.\nAnswer: b, y, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6394*r - 6372*r - 306 = -42 for r.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1, -3\/13, 13, 2\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14*72\/1764*(-322)\/(-8).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -242950000 rounded to the nearest one million?\nAnswer: -243000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1285*m + 374*m + 16758 + 37850 = -42869 for m.\nAnswer: 107","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 83850 and 450.\nAnswer: 251550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(2\/17)*z*z**(-7))\/(z**(7\/2)*((z**(1\/8)*z*z*z)\/z)\/z) assuming z is positive.\nAnswer: z**(-1429\/136)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 + 1 - (3 + 4). Let l be (-1)\/(-1 + (-4)\/b). What is the units digit of 8\/l - 8\/12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -61, -14, 107, 338, 715, 1274, 2051?\n\"Answer: 6*r**3 + r**2 + 2*r - 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -857\/156 or 13\/2?\nAnswer: 13\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5394577?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 23689373 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-507)\/39 + 74\/5?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*f + 4693 - 4756 = -5*f. What is the greatest common divisor of f and 2859?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -39*z**2 + 261*z - 204. Give x(6).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.08 in 5, 16, -4, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 56\/21*6\/4. Suppose q*s - 8 = 5*t + 2*s, 8 = -t + 2*s. Suppose -4*p + 3*o + 151 = t, 0 = -2*p + 3*o + 23 + 60. Is 17 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -630 + 639. Let s = -4 - -8. Solve w + s - p = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -50*x**3 - 7 - 33*x**2 - 6*x + 14*x + 35*x**2 - 8*x wrt x?\nAnswer: -300","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**2 + 64*m - 456.\nAnswer: 2*(m - 6)*(m + 38)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 32, 139, 326, 599, 964, 1427, 1994?\nAnswer: 2671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 64, 0 in descending order.\nAnswer: 64, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.509174602 to 2 decimal places.\nAnswer: -0.51","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvvvvvvvvv. Give prob of sequence vvvv.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 124817 (base 9) to base 16.\nAnswer: 127e7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 22 and 154?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 4*o + 0*o = -148, 2*q + 4*o - 72 = 0. Suppose 247*y - 223*y - 120 = 0. Suppose -x - q = -y*x. Calculate the highest common divisor of x and 77.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 140580.\nAnswer: 2, 3, 5, 11, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -4624.\nAnswer: -3\/4624","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 22*r**3 + 38*r**2 - 17*r + 22. Let t(x) = 2*x**3 - 2*x + 3. Determine 8*t(p) - u(p).\nAnswer: -6*p**3 - 38*p**2 + p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 560077 + 1?\nAnswer: 560100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 412 - 167 = 7*x. List the prime factors of x.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 12*z + 7. Let q(s) = -15 - 10*s + 3*s - 18*s. Let x = 19 - 6. Let c(o) = x*y(o) + 6*q(o). Determine c(-2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 26903*y - 188395. Determine t(7).\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 96 = -6*u. Suppose -85*j + 870 = -55*j. Let o = j + u. Solve -7 - 3 = o*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -4 and -11474.2.\nAnswer: -11478.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/5, -3, -2, 0.03, 238, 6?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**2 - g + 1. Suppose 3*v = -v + 20. Suppose -8 = -v*r + 4*r - n, -r = -5*n - 20. Suppose -4*p + 2*a + 4 = -p, 0 = -2*a - r. What is s(p)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2138074 to the nearest integer?\nAnswer: 1462","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -124 = -3*b + 5*p, 3*b - 4*p - 127 = -2*p. Let w be 2\/(-3) + (-1057)\/(-24). Let k = b - w. What is the second smallest value in k, -0.1, 2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.091 + -259.909. Let q = t - -276.3. Let i = q + -19.02. Round i to 1 decimal place.\nAnswer: -2.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -28, -56, -80, -88, -68, -8, 104?\nAnswer: 280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 less than -5785507?\nAnswer: -5785512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 171.8 to the nearest 10.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - 5*g + 2. List the prime factors of (-95)\/(-10)*(g - -1).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1772855 and 19501405.\nAnswer: 19501405","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -518 or -1\/5?\nAnswer: -518","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 6 = 2. Let h(t) = t**3 + 9*t**2 + 9*t + 6. Let q be h(m). Let k be 1 + (-1 - 15\/(-12)*-4). Put q, 0, 1, k in descending order.\nAnswer: 1, 0, q, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**3 - x**2 + 4*x + 845. Let q be c(0). Suppose -8*v + q = 5*v. What is the remainder when 323 is divided by v?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the second derivative of 0*i**4 - 1\/2*i**3 + 4*i + 0*i**2 + 0 - 1\/4*i**5. Find the second derivative of n(k) wrt k.\nAnswer: -30*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(704) - (1 + sqrt(704)))**2 + sqrt(88)\/sqrt(200))*-6.\nAnswer: -6 - 6*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -2*p - 4. Suppose 5*c - 338 = 3*m, 2*m + 342 = c + 4*c. Suppose 0 = -52*b + c*b + 90. What is h(b)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 75, 662, -394 in descending order.\nAnswer: 662, 75, 3, -394","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0\/(-1))\/(2 - 0). Let k(h) = h**2 - 2*h + 4. Let a(y) = -2*y**2 + 3*y - 5. Let d(c) = 2*a(c) + 3*k(c). Give d(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -y**3 + 495*y**2 - 495*y**2 - y**3.\nAnswer: -2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the first derivative of x**3\/3 - 7*x**2\/2 + 6*x + 53. What is j(4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(30) - sqrt(150)\/(sqrt(25)\/sqrt(5)))\/(sqrt(24)\/(sqrt(72) + sqrt(8))))\/((sqrt(1280)*-1)\/(sqrt(40)*-5)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(21)\/sqrt(27))**2 - ((sqrt(7) - ((sqrt(1008) + 4*sqrt(1008))**2 + sqrt(1008))) + sqrt(7))) + -5.\nAnswer: 10*sqrt(7) + 226762\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 3\/5, -1, 10, 0?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**2 + 6*j + 6. Let i be s(7). Let x = 2.5 + 0.5. Let q = -0.3 - 0.7. Which is the nearest to i? (a) -0.5 (b) x (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 43030888*h**2 - 35250329*h.\nAnswer: 86061776","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*o - 4*o + o + (-2 + 6 - 3)*(2*o + 2*o - 2*o) + 3 + o - 3)*(3 - 3 - 4*o**3).\nAnswer: -16*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 901 and 109922.\nAnswer: 109922","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**3 - 27*c**2 + 2*c - 53. Suppose -35*t + 243 = -26*t. Let r be q(t). Solve -16 = -5*i - 2*a, 3*i - a = 4 - r for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 2*d**3 + 2*d**2 - 2*d. Calculate t(-3).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 132192 divided by 612\nAnswer: 216","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o + 27. Calculate the least common multiple of n(-13) and 8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -36 + 28 - (-970)\/120. Let l(n) be the second derivative of -18*n - 2 - 3*n**3 + j*n**4 + 81\/2*n**2. Factor l(c).\nAnswer: (c - 9)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3079 is divided by 1022?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-36 - -43)\/((-62)\/(-20) - (-22)\/55)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1.06 times 270\nAnswer: 286.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 16*b + 23. Let c be d(-1). Let z(j) = 7 - j**3 + 10 + 2*j - 23 + 2*j**2 + c. Determine z(-2).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15 + -7. Calculate the least common multiple of y and 11.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: c (base 15) to base 10\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/27351163 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 29110 + 11*j - 11*j + 37697*j**2 - 29110 to the form l + t*j + n*j**2 and give n.\nAnswer: 37697","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 8*g**3 + 526*g**2 - 1220*g + 272 = 0.\nAnswer: -68, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 + (-1 - -1))\/1. Let a be (-2)\/10 + (-36)\/20. Let g be 1 - (a - (-111)\/39). Is i bigger than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n - 1. Let l = -19 + 12. Let w(d) = -d - 1. Calculate l*v(s) + 6*w(s).\nAnswer: s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11 - -10. Let r be ((-6)\/9 - (-505)\/(-3))*n. Suppose 9 - r = -5*d. Calculate the remainder when 61 is divided by d.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 + 24555410305?\nAnswer: 24555410310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) -4\/3 (c) -0.01 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - 2) + (7 - (1 + -1)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in twenty-one eighths of a microsecond?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001691306 rounded to 6 dps?\nAnswer: 0.000169","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -11166, -22698, -34230?\n\"Answer: -11532*r + 366","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1\/6)*i**(-17))\/(i**(-5)*i\/(i*(i\/i**24)\/i)) assuming i is positive.\nAnswer: i**(-217\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 8*d**2 - 58*d + 15. List the prime factors of p(-13).\nAnswer: 3, 7, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 182340185 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2330 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -64 - -93. Let s = -25 + g. Suppose -b - 1274 = -j - 6*b, s*j - 5184 = 2*b. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**2 - 3. Let p be -7*-1*(-1 + 2). Let a = p - 3. List the prime factors of q(a).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 2 = 2*n. Suppose 3*w = -5*p + 6*w - n, -3 = 2*p - w. Find the common denominator of 1\/p - 500\/16 and -31\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(11)*-2 + 1) - -3*(sqrt(55)\/sqrt(5))**2*6.\nAnswer: -10*sqrt(11) + 203","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2522?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -76*l**2 + 2 + 79*l**2 - 8 - 5*l. Let g be t(13). Suppose -19*w - g = -23*w. Calculate the remainder when w is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (162\/72)\/(1\/(-12)). Let a = t - -31. Factor 3*o**a + 12*o**2 + 11*o**2 - 6*o**3 - 20*o**2.\nAnswer: 3*o**2*(o - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.122121382 to 5 dps.\nAnswer: 0.12212","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:10 PM and 5:05 AM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p - 6. Calculate v(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v = 11*z + 4, 219 - 215 = -2*v - 5*z for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1866813 rounded to the nearest 100000?\nAnswer: 1900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*x**3 - 467*x - 36*x**2 + 3*x**3 - 465*x + 944*x in the form u*x**2 + q*x**3 + o + g*x and give u.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**2 + 4*g. Let y be j(-2). Let i = -393\/38 + 168\/19. What is the closest to 0.2 in i, 3, y?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 702012.\nAnswer: 2, 3, 19, 3079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -129, -512, -1163, -2088, -3293?\n\"Answer: -o**3 - 128*o**2 + 8*o - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-4)*(-2)\/(-3)*(-302)\/151.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5693*s - 2375*s = -777*s + 406*s + 130849 for s.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 70.1112t in micrograms?\nAnswer: 70111200000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 131654.1 weeks to minutes.\nAnswer: 1327073328","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 p when two letters picked without replacement from {w: 1, p: 1, m: 4, b: 1, o: 2}.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -4 - 2\/7*c**2 + 18\/7*c = 0.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -41918785 bigger than -167675137\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from neen. Give prob of sequence nn.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the second derivative of -m**6\/75 - 7*m**5\/50 - 4*m**4\/15 + 16*m**3\/15 - 2*m. Solve i(y) = 0.\nAnswer: -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -169, 161, 0.3, -0.08?\nAnswer: -169","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4009, -3, 235, 3 in ascending order.\nAnswer: -4009, -3, 3, 5, 235","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -685.9 + 685.5. Which is the third smallest value? (a) 0.4 (b) 2 (c) m (d) -16\/3 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14544?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3.5 + 1.5. Let z = -0.07 + 0.14. Which is the nearest to z? (a) -1\/6 (b) h (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3105102 divided by 5\nAnswer: 3105102\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1043777435?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes before 6:03 AM?\nAnswer: 11:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*k - 9*k - 5. Let p be k*(3\/1 - -3). Let g be 9\/p + 44794\/4. Round g to the nearest 1000.\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 126397933 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the second derivative of u**5\/20 - 5*u**4\/6 + 5*u**3\/3 + 3*u**2\/2 - u. Let n be w(9). Let a = n + -4. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10797?\nAnswer: 3, 59, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in twenty-seven fifths of a decade?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 321.7 - 320. What is the closest to 0 in q, -3, 4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l + 5*z - 30, 2*l + l - 58 = z. Let q = l + -8. Solve -s + 0*t = -4*t + q, -2*t = s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -95\/194854 and 52\/5899.\nAnswer: 67614338","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 2*i**3 + 15*i**2 + 4*i + 71. What is the smallest common multiple of 90 and u(-7)?\nAnswer: 4140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7 * 5444.\nAnswer: -38108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -2*g. Let n(w) = -2264*w**2 - 388*w - 12. Let a(k) = 206*k**2 + 35*k + 1. Let p(v) = -34*a(v) - 3*n(v). Give p(j(l)).\nAnswer: -848*l**2 + 52*l + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 4*x = -2 - 34, -6 = -2*a - 5*x. Let f = -11 + a. Suppose 0 = -5*h + z + 62, -f*h - 12 = 4*z - 50. Put -2, h, -3 in decreasing order.\nAnswer: h, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/4 + (-75)\/(-6). Let i be 2*3\/o*6. Suppose 4*z - 6*z = 3*p - 20, i*z = 2*p + 4. Calculate the highest common factor of 8 and p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is n in 2*n**3\/9 + 138610*n**2\/9 + 4156558*n\/9 + 4017950\/9 = 0?\nAnswer: -69275, -29, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*r**2 + 2*r**2 + 4*r**2)*(3*r - r + 0*r)*(-174*r - 579*r - 290*r) to the form m*r**3 + n*r + c*r**2 + z + i*r**4 and give i.\nAnswer: -8344","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 6, f: 3, u: 1, p: 9}. What is prob of sequence fnn?\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 254*x**2 + 673*x - 673*x + 374*x**2.\nAnswer: 628*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -14 (base 6) to base 7\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 - 1)*(-9*a - 59*a + 252*a).\nAnswer: -736*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -27*((28\/12)\/7)\/((-32)\/(-3840)*-10)\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3 + 2 + (-2 - 2 + 5)*(2 + 0 - 4))*(27*n - 27*n - 9*n**2).\nAnswer: 45*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -3*d. Let p(q) be the third derivative of -7*q**5\/120 + 5*q**3\/6 + 12*q**2. Let m(c) be the first derivative of p(c). Give y(m(g)).\nAnswer: 21*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(22)\/sqrt(539) - sqrt(2) - (sqrt(288) + sqrt(288)*2)**2) + (((sqrt(242)*-1)**2*1 - sqrt(242)) + 0)*2.\nAnswer: -2103 - 160*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11199632, -22399261, -33598890, -44798519, -55998148?\nAnswer: -67197777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -572 + 572 + 290*o**5 + (-2*o**4 + o**4 - o**4)*(2*o - 3*o + 3*o).\nAnswer: 286*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 3\/7 of a week?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 5) to base 4.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 187, 219, 275, 361, 483, 647, 859, 1125?\n\"Answer: b**3 + 6*b**2 + 7*b + 173","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6 and 537.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = a + 3*r + 2*r, 19 = 3*a + 5*r for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the second derivative of -n**7\/63 - n**6 - 323*n**5\/30 + 4165*n**4\/18 - 2392*n**3\/3 + 3380*n**2\/3 + 2914*n. Suppose d(k) = 0. What is k?\nAnswer: -26, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17017206?\nAnswer: 2, 3, 2836201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 316 is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 55\/(-1 + -4 + 6). Solve -b = 60 - k for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25\/(-15)*(-198)\/(-440).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 0.292427 seconds?\nAnswer: 292.427","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8.73 + 0.07. Let i = -1.9 - y. What is i rounded to 0 decimal places?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the first derivative of -21\/2*l**2 + 4*l**3 + 10*l - 52 - 1\/4*l**4. Factor q(x).\nAnswer: -(x - 10)*(x - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 13*h + 6. Let w(v) = 28*v + 12. What is -7*u(i) + 3*w(i)?\nAnswer: -7*i - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 680510.6nm?\nAnswer: 0.0006805106","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g = -7*g. Let y(d) be the second derivative of 1\/15*d**6 + 0 + 0*d**2 + d + 0*d**5 + g*d**3 - 1\/6*d**4. What is the third derivative of y(t) wrt t?\nAnswer: 48*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -50*u + 55*u - 15. Suppose u*i = -5*z - 77, -3*z - i = -0*z + 47. Let f = -1 - z. What is the least common multiple of 24 and f?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that 2*c**3 - 1759614*c**2 + 72140812*c = 0.\nAnswer: 0, 41, 879766","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15 and 65?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 27 - 11. Suppose -c + g + j + 37 = 0, 0 = -3*c + 2*g + 162. What is the tens digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*j + 10*j - 38. Is j greater than or equal to -39?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1116869 is divided by 79776.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Is 847434671 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5403*n = -485*n - 391*n - 40743 for n.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 690 = q, -q = -3*w - 6*q + 2080. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1175 - 2*h**3 - 12*h**2 + 1175.\nAnswer: -2*h**2*(h + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8.662 + 1049725252.\nAnswer: 1049725243.338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 2*r - 4, 0 = 2*b - r + 17 - 5. Let m = 9 + b. What are the prime factors of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, 4\/15, -11 in descending order.\nAnswer: 1\/3, 4\/15, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1342 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the first derivative of -7*y**3\/3 - 44. Let r(t) = -14*t + 8. Let n(o) = o - 1. Let p(l) = 8*n(l) + r(l). Calculate p(w(j)).\nAnswer: 42*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(3\/2))**11\/((m*m**12*m)\/m**(-3\/7)))**(-10\/9) assuming m is positive.\nAnswer: m**(-145\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**2)**(-38)*(u**(-3\/2)\/u)\/(((u**(-2\/7)*u)\/u)\/u*u) assuming u is positive.\nAnswer: u**(501\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**2 - 9*u - 8. Let x be a(-8). Let y be (1 + x)*(4 - 2). Suppose 2*c = -5*l - c - 10, -3*l - c = y. Let b(k) = 11*k**3 - 2*k**2 + k. Give b(l).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1472 + 2063. Do w and 589 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 26955.59 grams?\nAnswer: 26955590000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2))**39*c**(-6)\/c**(5\/3) assuming c is positive.\nAnswer: c**(-257\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**3 - s**2 + 5*s + 11. Let r(f) = -22*f - 291. Let y be r(-13). What is t(y)?\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 42 and 483?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1883992.\nAnswer: 2, 11, 79, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4887.\nAnswer: 3, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**2 + m - 51. Let g be h(0). Let o = -9 - g. Does 17 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 145 a factor of 745218?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 106 - -309. Let c = -413 + i. Solve -6\/13*v**c - 2\/13 - 6\/13*v - 2\/13*v**3 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:15 PM and 12:31 AM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 144 - 99 = -171*i - 126 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -68259149 - 1.\nAnswer: -68259150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*h + 355 - 365 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -5*l - 1. Suppose -108*h + 198 = -105*h. Suppose t = h*t - 65. Calculate d(t).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 120 = x + 4*v, 0 = -4*x + v - 492. Let m = 718 + x. Calculate the remainder when (2\/(-3))\/((-12)\/m) is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 5, 32, 61, 92, 125?\n\"Answer: r**2 + 24*r - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 30913, 61871, 92871, 123913, 154997, 186123, 217291?\nAnswer: 248501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 80\/39 and -71\/9921?\nAnswer: 128973","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p**2 + 0*p + 0*p)*(1 + p - 1) - 41*p**3 - 56*p**2 + 56*p**2.\nAnswer: -40*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18 - (27 - (-26 - -58)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 407731 + -407731. Let m = 249\/28 + -57\/7. Let t = 0.1 + 0. What is the nearest to s in t, m, 2\/7?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -543149519*o*u**3 - 5*o*u**2 + 3*o*u + o + 2647*u**2 + u - 72 wrt u?\nAnswer: -3258897114*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.3 - -0.8. Let s = v - -0.9. Let q = -3.9 - -4. Which is the closest to -0.1? (a) q (b) s (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 - -8. Let d(p) = p - y - 3 + p**2 - 4*p + 0*p**2. Calculate d(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -5*v + 14. Let h = v - 2. Solve h*r = r + 12 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 3*z = -14, 5*i - 4*z = 8 + 10. Suppose -11 = -5*h + 19. Find the second derivative of h*r + 2*r**2 - i*r - 3*r**2 wrt r.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k + 6. Let u(l) = -l**3 + 3*l**2 - 4*l + 6. Let f be u(3). Give b(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 116396256?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 - 0. Suppose a*g - 35 = -3*j - 5*g, -16 = -4*g. Does 2 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*h**3 - 80*h**2 + 36*h**2 + 44*h**2.\nAnswer: 7*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**2 + 46*w + 30. Let k(o) = -45*o - 24. What is -4*a(g) - 5*k(g)?\nAnswer: -4*g**2 + 41*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 693856228?\nAnswer: 2, 13, 137, 97397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*r**3 - r**3 - 136 + 5*r**3 + 2*r**2 - 2*r**3 + r**3 to x*r**2 + z + s*r + d*r**3 and give z.\nAnswer: -136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/14 - (4 - (-141)\/(-21)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64374 a multiple of 104?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -2*f + 4. Let i be w(3). What is the remainder when 1 - 3*4\/(-2) is divided by (-7)\/(-2) + i\/(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 70*l**5 - 135*l**4 - 625*l**3 + 320*l - 60. Let p(t) = t**4 - t**3 - 2*t**2 + 2*t - 2. Let x(a) = -10*p(a) - v(a). Find z, given that x(z) = 0.\nAnswer: -2, -1, 2\/7, 1\/2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 544 and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4a22 + -3445?\nAnswer: -8367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1\/1)\/(-1) + -3 + 2. Let k be (t\/6)\/(-1) + 77\/21. Suppose 0 = k*h + 4*h - 312. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10498, 10490, 10482, 10474, 10466, 10458?\nAnswer: 10450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 5*t**2 + 25*t + 3. Let r be y(-5). Suppose r*d = 1 + 11. Solve -h = h + d for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 - (9\/9 - 528\/56)\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = h - 2*h + 3, -5*h - d + 9 = 0. Solve -h*c + 9 = c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30.56015us to nanoseconds.\nAnswer: 30560.15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, -183, -5\/4, -5, 3?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5\/((-5)\/26) + (-16 - -12). Sort o, -4, -3 in ascending order.\nAnswer: o, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -26091650*c**6 + 33*c**2 + 50713 wrt c.\nAnswer: -3130998000*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1047?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -479*a**2 - 1396*a + 1396*a + 948*a**2 - 472*a**2.\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 235 = -3*r + 590, -4*w = 5*r - 1097. Suppose 0 = 5*o - 42 - w. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*w**4 + 2*w - 2*w - 2*w**4 - w + 6*w**4 - 9*w**4 + (-w + w - 2*w**3)*(-5*w - 5*w + 2*w).\nAnswer: 14*w**4 - w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 2*i**2 - 301*i - 261. Determine r(151).\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.031 + -3.019. Let j = -0.05 - u. Suppose 0 = -m + 4 - 2. Sort 0.1, j, 0.4, m in decreasing order.\nAnswer: j, m, 0.4, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 + -6. Let t be 1\/((-2)\/(-4))*(-358)\/l. Suppose t*u = 181*u - 102. What is the greatest common divisor of 561 and u?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -584920192 divided by -146230048\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -184.782 + -0.218. Let i = q + 189.95. Let x = 0.15 + i. Round x to the nearest integer.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0\/1 + (2710006 - 6). Round n to the nearest one hundred thousand.\nAnswer: 2700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -511 (base 6) in base 15?\nAnswer: -c7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -5096, 125, -13, -9 in ascending order.\nAnswer: -5096, -13, -9, -2, 125","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73 is divided by (-156)\/(-8) + (-1 - (-4)\/8).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11 and 425.\nAnswer: 4675","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 821802*s**4 - 4*s**2 - 2*s + 1888582?\nAnswer: 9861624*s**2 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (c + 0*c - 3*c)*(-35 - 32 + 7655*c + 116 - 49) as w + g*c + f*c**2 and give f.\nAnswer: -15310","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 4 * -4.5\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 31 - 14. What are the prime factors of f?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 321263?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12360167?\nAnswer: 241, 51287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 21*h - 10. Let j(p) = 11*p - 5. Let t(r) = -7*j(r) + 4*u(r). Let f(o) be the second derivative of -o**3 + 2*o**2 - o. Give -5*f(b) - 4*t(b).\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = t + 61. Let x(v) be the first derivative of -1 - t*v**2 + v**3 - 2 + 14 + 52*v**2 + 27*v. Factor x(a).\nAnswer: 3*(a - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:03 PM and 2:32 PM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 38 - 71. Let l = m + 64. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -67446495*j**4 - 327904*j + 16 wrt j.\nAnswer: -809357940*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -240013221 + -3412?\nAnswer: -240022133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 3, -29, -87, -177, -305, -477, -699?\n\"Answer: -b**3 - 7*b**2 - 4*b + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 56*p + 65*p - 14*p + 1498 for p.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = z - 3*m + 7, 3*z - 5*m - 17 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*u**43*u*u\/u**(-1\/63)*u*u**48\/(u\/(u\/(((u*u**(-1\/30))\/u*u)\/u)*u*u)) assuming u is positive.\nAnswer: u**(61141\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -328*l. Let b(m) = -164*m. Determine -13*b(u) + 6*z(u).\nAnswer: 164*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.7 - 1.11. Let t = p - -0.01. Let w be 0\/(6\/16 + 735\/(-168)). Which is the fourth biggest value? (a) t (b) w (c) -16 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*2*(-5 + (sqrt(19) - (sqrt(228)*-1)\/sqrt(12)) + (sqrt(152)*2)\/sqrt(8) + -3)**2.\nAnswer: -4416 + 768*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 7*b**3 + 75*b**2 + 49*b - 24. Calculate h(-10).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -34, -66, -112, -190, -318?\nAnswer: -514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (1 - (0 - (2 + -3)))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 j when four letters picked without replacement from mmjojoojjo.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**2 - 9*v + 8. Let h(a) = -a + 1. Give 3*c(s) - 24*h(s).\nAnswer: 3*s**2 - 3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -276 + 727. Is 2\/5 < k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 74*y + 26. Let c(f) = 21*f + 8. Let u(t) = -7*c(t) + 2*i(t). Let s(x) = 1. Determine 3*s(r) - u(r).\nAnswer: -r + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 15511\/13 - (-4)\/14*35\/(-65). Is m <= 1195?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-3\/5)*z*z*z*z**(2\/5))\/(z\/(z\/(z*z**1)))**(-2\/25))**(35\/6) assuming z is positive.\nAnswer: z**(259\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1248*h - 1253*h = 24556 - 155896. Is h a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence egge when four letters picked without replacement from {g: 10, q: 4, w: 4, e: 2}.\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 140703362?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 154 * -0.136533\nAnswer: -21.026082","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2520.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 9309148?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/(-2) + 1\/1. Let z = -3 + k. Calculate the lowest common multiple of (-27)\/z + (-4)\/(-16) and 2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6.92 + -7. Let x = f - -0.08007. What is x rounded to four dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 12393 = -5*k, k - s = 2572 - 85. What is the thousands digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7 (base 10) to base 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or -45\/27548?\nAnswer: -45\/27548","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence diji when four letters picked without replacement from {o: 5, d: 5, j: 5, i: 2}?\nAnswer: 5\/5712","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 54000 to the nearest ten thousand.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 45806536 and 90332.\nAnswer: 8212","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + 92 = y + 63, 4*o + 4*y = 6*o + 6*y - 7*y + 109 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes before 1:36 AM?\nAnswer: 1:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((4140\/(-60))\/69)\/(8\/512).\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the third derivative of -q**5\/240 + q**4\/96 + q**2. Solve p(l) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -1, -1.8 in ascending order.\nAnswer: -1.8, -1, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.77209 rounded to one dp?\nAnswer: -11.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 3 - n - 3. Let j = 45 + -28. Let v(z) = -j*z + 14*z - 1 + 1. Give v(o(h)).\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 9\/(-97452)*(-2160726)\/27. Let y = -5\/2707 + r. Find the common denominator of 125\/96 and y.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 1 = -4. Is 3\/5 less than or equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 2499.67ml?\nAnswer: 2.49967","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -125 + 124.78. What is the closest to d in -1\/3, -5\/3, 2\/5, -0.4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6651, 6677, 6703?\nAnswer: 6729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5390.2741 + 5390. Let q = -0.2740998761 - v. Round q to 7 dps.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p - 12*i + 14*i + 4, 4*p + 10 = -5*i. Solve 198*q - 199*q - 3 = p for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/8 - (-34)\/8. Let x = 19892 + -19718.06. Let c = x - 174. Put 1, c, w in ascending order.\nAnswer: c, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**13\/(y*y*y**(-3)\/y) assuming y is positive.\nAnswer: y**15","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and 0.37.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*x + 3 = -74. Suppose -3*i = -3*b + 30, b - 12*i = -8*i + x. Solve b*y - 11 + 55 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0\/(-3))\/(30\/15).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, -4\/9, -4, 0.37 in decreasing order.\nAnswer: 18, 0.37, -4\/9, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 84 and 2.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (9*v - 264 + 264)*(-6 - 17*v + 16*v - v - 3) as g*v + n*v**2 + y and give n.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1518 is divided by 103?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -17.96 + -0.04. What is the biggest value in -3, 1, d?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7.42731 to two decimal places.\nAnswer: 7.43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/7, 82, -4, 18?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a**6)\/a)**(-17))**(-5\/9) assuming a is positive.\nAnswer: a**(170\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 divided by 8240679.\nAnswer: -10\/8240679","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4442 + -5331?\nAnswer: -445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 3*j - 4. Let t be m(5). Let w = t - -8. Calculate the remainder when w is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r - 2*r - 2. Let i(a) = a**2 - 2*a + 1. Let c(u) = 3*u**2 - 7*u + 3. Determine r*c(n) - 7*i(n).\nAnswer: -n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16*(-13)\/156*6\/324.\nAnswer: -2\/81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7 - 4 + w**2 - 11 - 23*w + 10 - 12.\nAnswer: (w - 24)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -0.5, 15.78, -0.1, 1\/6 in ascending order.\nAnswer: -0.5, -0.1, 1\/6, 5, 15.78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 87.43129 millilitres to litres.\nAnswer: 0.08743129","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(405) + 0 + sqrt(405))**2*3 - (sqrt(405) + sqrt(405) + sqrt(405) + (-1 + sqrt(405))*4)**2) + 4*sqrt(405)*-3 + -4.\nAnswer: -15005 + 396*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.775 - -448.775. Let c = r - 451. What is the second smallest value in -3\/10, 3, c?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -20*u**5 + 52*u**4 - 44*u**3 + 12*u**2.\nAnswer: -4*u**2*(u - 1)**2*(5*u - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add 15 and 9.84406.\nAnswer: 24.84406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12 - 41 + 29 + 701*j + 998*j to b + s*j and give s.\nAnswer: 1699","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the second derivative of -r**4\/12 + r**3\/2 + r**2 - r. Let h = 267 + -264. Determine k(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (25*z**4 + 20*z**4 - 124*z**4)*(-4 + 3 - 1)*(5 - 4 + 1)*(-3 - 21 - 16).\nAnswer: -12640*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*k = -6 - 38. Suppose 0*w = 4*y + w - 13, 5 = 2*y - w. Suppose 13 = k*v - y*v + 2*q, 20 = -5*q. 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 value of (-668)\/6513*3\/1*(-2)\/4?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 4*d + 2. Let t(w) = -1. Let n be 143\/110 + 6\/(-20). Calculate n*q(v) + 2*t(v).\nAnswer: 4*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**3 - 2*y**2 - y + 1. Let b = -75 - -48. Let s = 47 + b. What is the remainder when s is divided by q(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the first derivative of -a**2 + 1. Let o(f) be the first derivative of f**2\/2 - 2. Give o(q(n)).\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 550874839\/16 + -34416735. Let z = y + -12937. Find the common denominator of -97\/8 and z.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -16, -1, 27, 200?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 11249175*z. Let l(j) = -j. Give l(r(f)).\nAnswer: -11249175*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -19 + 61. Let x(u) = -3*u - 14. Let l be x(-14). Calculate the highest common factor of a and l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 286 - 286 + 3*s as b*s + g and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1873\/15 + -125. Let o(h) = 9*h + 38. Let m be o(-4). Let w be 0 - (2 - (-1 - -2)). Which is the second biggest value? (a) w (b) l (c) m (d) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - w - 50 = -v, 6 = 3*v. Suppose w = i + 19. Let j = -3.02 - -0.02. Put j, 1\/2, i in ascending order.\nAnswer: i, j, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**2 + 73*y - 1236. Let h be l(40). What is the greatest common divisor of 3066 and h?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*j + 4 + 3*j + 20*j - 2 as k + n*j and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 80 divide 262981014?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2014 (base 7) to base 4.\nAnswer: -22321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 38.47646nm in millimeters?\nAnswer: 0.00003847646","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**2 - u - 5. Let m(h) = 5*h**2 + 4 - 4*h**2 - 8. What is 3*m(s) - 2*y(s)?\nAnswer: s**2 + 2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in 9, 369, -445, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4896\/197 + -29544\/1379. Factor -c*r - 2\/7*r**2 - 40\/7.\nAnswer: -2*(r + 2)*(r + 10)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8044538 is divided by 2802.\nAnswer: 2798","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.25 * 84\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 16\/9, -2, 58, 2\/7, -1 in descending order.\nAnswer: 58, 16\/9, 2\/7, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6592, -13770, -20948, -28126, -35304?\nAnswer: -42482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.525642 seconds in microseconds?\nAnswer: 3525642","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 10551 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -213331 - 102411?\nAnswer: -321242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 205*w - 751*w - 53*w in the form m + z*w and give z.\nAnswer: -599","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 49 = -4*n, 4*n - 234 = -i - 233. What is the greatest common divisor of i and 8125?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 10361354?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7625013 divided by -3.\nAnswer: 2541671","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -49 - -56. Let l be (-4)\/g - (-32)\/56. Let v(i) = -2*i**3 + 8*i**2 - 2*i - 7. Let r be v(3). Solve -r*j + 0*j + 10 = l for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/(-4710)*-4*(-115)\/(-529). Is 1 bigger than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11149 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the first derivative of c**7\/420 - c**3 - 4. Let p(g) be the third derivative of r(g). Find h such that p(h) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -6*h - 3. Let v = 1044 + -612. Let c(d) = 217 - v + 213 - 5*d. What is -6*c(n) + 4*r(n)?\nAnswer: 6*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(77) + -3*(sqrt(77) - (sqrt(77) + (sqrt(77)*4 - sqrt(77)) + sqrt(77))))*-4)\/(-5*sqrt(33)\/sqrt(3) + -1*sqrt(55)\/sqrt(5)))**2.\nAnswer: 4732\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -864.4 rounded to the nearest one hundred?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the third derivative of -4*q**8\/21 + 101*q**5\/60 + q**2 - 76. What is the third derivative of b(d) wrt d?\nAnswer: -3840*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lb when two letters picked without replacement from {l: 5, t: 1, o: 3, b: 6}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -156 - -156.00000634. What is s rounded to 6 decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4448739 rounded to three decimal places?\nAnswer: -0.445","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 15 = 5*x, -59 + 16 = 5*x + 2*s. Let k = 0 + x. List the prime factors of 2\/k - 204\/(-28).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 3*g + 17. Let p be y(-5). Solve -4*s + p*r = 6*r + 24, -5*r + 10 = -5*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -4*a. Let p(m) = -4*m. Let k be p(2). Let z = k - -5. What is the tens digit of g(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13455690 by 5.\nAnswer: -2691138","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -6*y - 11. Let r(j) be the first derivative of -j**2 - 4*j - 32. Give 6*g(m) - 17*r(m).\nAnswer: -2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5 + 3\/(-3) - 2\/1. Let g(l) = -2*l - 8. Let n be g(-6). What is the first derivative of 1 - n*d + d + q*d + 0*d wrt d?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1677400381 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 2*j = -n - 224, -n + j = 75. Let g = 60 - n. What are the prime factors of g?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 2 x when three letters picked without replacement from xssvvssssssxuy?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = 9*d - 6*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f**2 + 5*f**2 + f**2)*(8*f**2 + 13*f - 12*f - 3*f + 1).\nAnswer: 32*f**4 - 8*f**3 + 4*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j. Let p(i) be the second derivative of -19\/3*i**4 + 2*i + 0*i**2 + 45 + 0*i**3. Calculate p(u(l)).\nAnswer: -76*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -360317*k + 100 + 360311*k + 105 - 205.\nAnswer: -6*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 48*z + 251. Calculate n(-5).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19311*p = 19315*p - 48 for p.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5239817 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 11\/4 of a micrometer?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f + 6 = 4*f. Let w be ((-3)\/(-3) + f)\/(-1). Suppose -w = 3*i - 8. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 + -3. Suppose a*g = -3*r + 58, -3 = -5*g + 3*r + 49. Suppose g - 24 = -y. List the prime factors of y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87219330 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**2 + m + 1. Let y(i) be the first derivative of 4*i**3\/3 + 5*i**2\/2 + 7*i - 9. Determine -5*h(u) + y(u).\nAnswer: -u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(8)*-2)**2 + -5 + 1.\nAnswer: 53 + 40*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -39, -70, -99, -126, -151?\n\"Answer: h**2 - 34*h - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1212100122 - -12221?\nAnswer: -1212010201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes after 10:00 PM?\nAnswer: 9:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 10\/31 (b) -12.3 (c) -0.033\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4 or -14.2676?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes after 2:07 PM?\nAnswer: 10:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 + 13?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -29*n**2 - 3*n - 2. Let v be t(-1). Let j = -20 - v. Let y = 33 + j. What is the tens digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(4\/9))\/d)**(-5)\/(d*d*(d**(1\/2)*d)\/d*d)**(-27) assuming d is positive.\nAnswer: d**(1661\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 16*u - 5*u - 13*u. Let z(p) be the first derivative of -p**2 + 1. What is t(z(i))?\nAnswer: 4*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -43*v + 8. Let f(r) be the third derivative of 43*r**4\/12 - 5*r**3\/2 - 4*r**2. Let y(o) = -3*f(o) - 7*g(o). Does 23 divide y(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 7, x: 6}. Give prob of sequence xpx.\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (475*p**2 - 271 + 271)*(5*p**2 - 3*p**2 + 6*p**2).\nAnswer: 3800*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Total of 10823858196 and -48.7.\nAnswer: 10823858147.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 6 - (0 + 7 - -4)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29863415 is divided by 786?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 7.593518 weeks?\nAnswer: 76542.66144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*g + 1085 + 149 = -259*g + 250 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 87561 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -227, -472, -717, -962?\nAnswer: -1207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 338b98 (base 14) to base 16\nAnswer: 1abf82","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/7 (b) -1\/7 (c) 1102384 (d) -0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5898 is divided by 2947.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -106*g**3 - 15028*g + 103*g**3 + 15028*g.\nAnswer: -3*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1200 = 102*f - 100*f. Let v = -271 + f. List the prime factors of v.\nAnswer: 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:53 PM and 1:22 AM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:14 AM and 2:26 AM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**2)**(-12))**(-10\/7)*(b**(-2))**(-3\/5)*b**(1\/4)\/b*b*b**(-7) assuming b is positive.\nAnswer: b**(6423\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1104.002041 - 1104. What is s rounded to 5 dps?\nAnswer: 0.00204","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 686814?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 45*q**2 + 4*q + 2. Is 12 a factor of h(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 p, and 2 m when four letters picked without replacement from {k: 1, y: 1, r: 1, p: 1, m: 2, q: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 2*x - 2. Let r = -25 - -28. Determine h(r).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 46\/45 + (-10)\/45. Suppose 3*m - 4*m + 45 = 3*p, m + p = 35. Let l be 22\/m + (-2)\/5. What is the third biggest value in -2\/17, x, l?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 3*d**2 - 3*d + 3. Let n be k(2). Suppose -4*y = v - 3, -2*v - 20 + 14 = -4*y. Put v, -3, n in increasing order.\nAnswer: -3, v, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s + 1 + 2*s + s)*(-5 - 2 + 0) + 2*s - 2*s - 2*s + (-2*s - s + 2*s)*(0 + 0 - 2) + 2*s - s + 0*s + s + s + s + 4*s + 0*s - 2*s.\nAnswer: -8*s - 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.4 (b) -23 (c) 23 (d) -1 (e) -3\/4 (f) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -234 - 243?\nAnswer: -1032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 445717254?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 24 - 19. Suppose 0 = u - q - 28. Let n(g) = -g**2 + 17*g + 14. Let b be n(13). Calculate the greatest common factor of u and b.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (-6 + 618\/51) - (-437880)\/(-7565)?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1404867 + -1.29.\nAnswer: 1404865.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9910?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 122 divide 26108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 13, -20, -336 in decreasing order.\nAnswer: 13, 4, -20, -336","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -36\/5171?\nAnswer: -36\/5171","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1105 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*n**3*u - 660*n**2*u - 176*n*u - 7574*u - 592 wrt n.\nAnswer: 9*n**2*u - 1320*n*u - 176*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 0*q - 2*q - 8.\nAnswer: -2*q - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 492 - 481. Suppose 3014 = 5*l + 4*x, -2*l - k*x = -8*x - 1207. Does 25 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -432 - -434. Solve 3*c + i = -c + 9, h*c + 4*i = 8 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -13*g - 2. Determine z(-3).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 3*k + 105 = 2*k, 3*m - 2*k - 73 = 0. Let v = 1154 - 679. Calculate the greatest common divisor of v and m.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 29\/2 of a century?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4, -530 in descending order.\nAnswer: 4, -3, -530","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -a**4 - 4*a**4 + a**4 + 3*a**4 - 2*a**4 + a**4 + 0*a**4 - 4*a**4 + 2*a**4 + (2*a - 3*a + 2*a)*(-3*a**3 - a**3 + 2*a**3) - 19*a**4 - 27*a**4 - 7*a**4.\nAnswer: -59*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 s when four letters picked without replacement from {s: 11, x: 3}.\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*d**4 + 1381*d**3 + 121413*d**2 + 381159*d + 87723.\nAnswer: (d + 3)*(d + 171)**2*(4*d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 27345392.99663 and 0.5?\nAnswer: 27345392.49663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 3a (base 14) to base 15\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 11\/2 of a decade?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 778045 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 18, -4\/27, -285, -2 in decreasing order.\nAnswer: 18, 3, -4\/27, -2, -285","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -293384 divided by -26.\nAnswer: 11284","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9 + -8. Let k be s + ((-6)\/(-9))\/(-1). Find b such that 0 + b**2 - k*b = 0.\nAnswer: 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 9006 (b) -4\/5 (c) 1\/9 (d) 0.1 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 452 - 122 - (-2)\/(-3)*3 and 6?\nAnswer: 984","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -144.7 + -141.8. Let m = h - -286. Which is the second smallest value? (a) 2\/13 (b) m (c) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*g + 3*g + 4*g)*(2*g - 6*g - 1 - 1)*(7 - 19 + 5) - g**2 - g**2 + g**2 in the form q + w*g**2 + n*g and give n.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 24527 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1616 - 851. Suppose -n - 116 = -l. Suppose -4*a + n = 3*b, -b - 497 - 319 = -5*a. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1977?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 42391, 42303, 42205, 42103, 42003?\n\"Answer: x**3 - 11*x**2 - 62*x + 42463","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 40206 - 34192. Solve 16 = -r*a + 6016*a for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -27.8574 to one dp.\nAnswer: -27.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2929 is divided by 67?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 10 - 6725*70\/47068. Is a at least 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-20)\/24*(1 - 15). Let s = z - 12. Let n = -5 + 7. Which is the second smallest value? (a) n (b) -0.2 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 78 and 90?\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i\/i**(1\/4)*i*i*i*i)**(-27\/2))**(2\/31)\/(i*i\/(i*i*i**(3\/4)*i*i*i)*i**(-5\/2)*i**(-1\/11)*i*i\/(i*(i**(1\/3)*i)\/i)*i) assuming i is positive.\nAnswer: i**(-683\/2046)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that i**4\/2 - 5*i**3\/2 + 4*i**2 - 2*i = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 120 is divided by 105?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the second derivative of -20*f**7\/21 - 19*f**3 - f**2\/2 - 54*f - 1. What is the second derivative of m(a) wrt a?\nAnswer: -800*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r**4 + 6*r**4 + 0*r**4)*(-1 - 5 + 4 - 2*r) + (1 - 3 + 1)*(r**5 + 0*r**4 + 0*r**4) + 5*r**5 + 0 + 0.\nAnswer: -4*r**5 - 8*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0\/(-4))\/(-6 + (-4 - -8)). Which is the closest to 0.2? (a) -3 (b) -0.09 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -2*j**2 + 42*j + 855. What is s(-9)?\nAnswer: 315","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 29975548 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/(-6)*-1*(-14)\/(-182)*13?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/21, 3, -0.4, 0.3, 186?\nAnswer: 186","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1014.96 - 23.04. Let h = -1038.447 - l. What is h rounded to one dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -17*h + 13. Let d be g(1). What is the units digit of (-134)\/d + 45\/(-10) + 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5\/3, 116600508, 0?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/8 and 13\/69118.\nAnswer: 276472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1311 divided by -206?\nAnswer: 1311\/206","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 80 and 240.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*q**2 - 7*q**2 + 15*q**2 + 4*q**4 + (-2*q**2 + q**2 + 2*q**2)*(2*q**2 + 2*q**2 - 5*q**2).\nAnswer: 3*q**4 + 2*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -54853018 divided by -18766?\nAnswer: 2923","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 279*o + 1296. Let t be l(-4). Calculate the highest common divisor of t and 510.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 13764?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -316 + 403 = 4*g - 5*k, 2*k - 27 = -4*g + 67 for g.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ae when two letters picked without replacement from eaeaavae?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**3 - 8*v**2 - 3*v + 10. Calculate u(8).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/11, 0.04, -26 in descending order.\nAnswer: 0.04, -2\/11, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, -0.05, 0.426?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -37 + 38. Let d be ((-4)\/(-4))\/f - -4. Find the third derivative of -6*n**5 + 2*n**2 + 7*n**d + 12*n**6 - n**5 wrt n.\nAnswer: 1440*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c - 2*b + 26, -3*b + 5 - 38 = 2*c. Let t(q) = 2*q**3 + q**2 - 3*q + 2. Let x be t(2). Let g = x + c. What are the prime factors of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 274564 and 343205?\nAnswer: 1372820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1836 + 468 = 4*z. Let n = z + -239. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91*x + 188 = 87*x. Is x at most as big as 0.04?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**2 + 10*x - 2. Let r be z(9). Suppose 18 = -r*f + 10*f. Let g(l) = f*l + 1 - 6*l**2 + 2*l**2 + 3*l**2. What is g(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x - 4*o + 7*o - 23 + 79 = -7*x, 5*o = -100 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 12814376 plus -0.4?\nAnswer: 12814375.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 109*t**2 - t - 1. Is s(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -792b (base 16) to base 7\nAnswer: -156302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 + 8 = 5*q + 3*y, 0 = -5*q - y + 20. Solve -2*r + 5*r + 19 = -q*k, 5*r + 20 = 5*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52*n - 3360 + 2827 - 10203 - 6720.\nAnswer: 52*n - 17456","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b + 4*b + 46 = 5*c, -4*b = 8. Let a be (-3 - (-45)\/c)*2. Let s(i) = i**3 - 4*i**2 + 4*i. Calculate s(a).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = 2*b - 20. Let d(x) = -18*x - 120. Let l be d(-12). Suppose l = b*q + 5*g, 2*g = 3*q - 2*g - 41. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 70*c**2 + 26*c - 63. What is the tens digit of s(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s**3 - 97745*s**2 - 476578200*s + 11013066540 = 0 for s.\nAnswer: -9786, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 65 - 65.4. Let h = 0.1 + 0.1. What is the closest to 1\/4 in n, h, 3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22 + -18 - 1\/((-18)\/(-76))\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.985 rounded to zero dps?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**5\/9 + 2*x**4 + 14*x**3\/3 - 490*x**2\/9.\nAnswer: -2*x**2*(x - 7)**2*(x + 5)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v*(v\/((v\/((v*v**2*v*v)\/v))\/v))\/v))**(5\/19)*v**(-13)\/v**11 assuming v is positive.\nAnswer: v**(-476\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2 - 1 - ((-24)\/72 - (-40)\/(-6)). Solve -m*r = -126 + 158 for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38893 is divided by 207?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 plus -1111.6?\nAnswer: -1121.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 406.4039 decades to months.\nAnswer: 48768.468","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(2\/7))**(-12)\/(l\/l**(-1)*l*l**2*l*l))\/((l**(-2)*l)\/l**1*l*l*l**(-4)*l*l**(-3\/7)*l) assuming l is positive.\nAnswer: l**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93*d + 95*d + 2 = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0004407807445 to six decimal places.\nAnswer: 0.000441","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 295c9a (base 13) in base 5?\nAnswer: 224402100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.2 - -0.8. Let b = -2.341 + 3.341. What is the nearest to k in -5, 2\/29, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(15)*2)\/sqrt(5) + sqrt(12) + -2 + 4 + 2)**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p + 120 - 9. Calculate the remainder when p is divided by 12 - 4\/((-16)\/4).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9.1 + -28.4. What is p rounded to zero dps?\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*i, -13 = -2*x - x + i. Suppose 2*a - 4*r = 10, 2*r - 4*r + x = 2*a. What is the units digit of 1\/1*(a - 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 4*b - 28 = 0, 5*d = 2*b + 3*b + 65. Suppose 0*f - d*f + 34350 = 0. Let x = f - 2116. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -208958, -209049, -209140, -209231, -209322, -209413?\nAnswer: -209504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**3 - 6*y**2 - y - 5. Let n be p(-6). Let f = -10 - -5. Let k = f + 5.4. Sort k, n, 4.\nAnswer: k, n, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the first derivative of -x**8\/56 - x**4\/3 - 2*x + 2. Let h(o) be the first derivative of b(o). Find the third derivative of h(k) wrt k.\nAnswer: -120*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 326751715.\nAnswer: 5, 65350343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 3 l when four letters picked without replacement from {l: 4, r: 1, i: 3, b: 12}?\nAnswer: 4\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -5*d. Let s(i) = 2*i**2 + i + 1. Let z(c) = -144*c**2 - 66*c - 66. Let q(o) = -198*s(o) - 3*z(o). What is q(g(a))?\nAnswer: 900*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + s = -8, 867*k - 869*k + 24 = 2*s for k.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 143 - 138. Suppose -3*k + j*k - 10 = 0. Solve 0 = -4*o - k*p - 4 - 3, -16 = -2*o + 4*p for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -4 + 8 - 1 - (-12)\/(-4). Solve y = -5*t + 9 + 11 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (t - 3*t + 0*t)*(-81 - 50 - 44)*(-3*t + t + t) to q*t**2 + z*t + d and give q.\nAnswer: -350","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -753 - -861. Calculate the highest common factor of u and 594.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*p**5 + 3*p**5 + 3*p**5 + (4 - 4 + 2*p**2)*(2*p**3 + 0*p**3 - 3*p**3) + p**5 - p**5 + p**5.\nAnswer: 2*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) 453 (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 148 - 744\/5. Which is the smallest value? (a) -0.2 (b) z (c) 16\/3 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 22*y**5 + 89250*y**4 + 3256712*y**3 + 2053368*y**2 - 19584576*y + 3473280 = 0.\nAnswer: -4020, -36, -3, 2\/11, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -16*3\/(-2)*(-7660)\/(-60). Let y = 24549\/8 - m. What is the common denominator of y and -151\/36?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -257701413 divided by -1853967\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 406820000 rounded to the nearest one million?\nAnswer: 407000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 798 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9 + 8. Calculate the smallest common multiple of 10 and (-2 - (-3 + 8))*u.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 112495?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b**4 + 74*b**3 - 315*b**2 - 164*b + 228 = 0 for b.\nAnswer: -1, 2\/3, 6, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61 - 122 = -266*f + 349. What is the closest to f in -3, 2\/3, 1563?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 4*q**2 - 8 + 6 - 9 - 5*q**2 + 21*q. Let d be i(20). List the prime factors of -1 + 3 - (9 - d).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xwxxwxxixwxxiw. Give prob of picking 4 w.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 745?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(-7))\/(p\/(p*p*p\/(p\/p**(-1\/2)))*p))\/(p*p**3)**26 assuming p is positive.\nAnswer: p**(-221\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -93 - -183. Sort i, -4, -5 in ascending order.\nAnswer: -5, -4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -323237 (base 10) to base 12.\nAnswer: -137085","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 0.1 (b) 2\/3 (c) -2\/321\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -38.93 rounded to the nearest ten?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -2400 (base 6) to base 14\nAnswer: -2d2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 38\/14 - (-12)\/42. Suppose -b*s + 2*i = -3*i, -3*i = 0. Let q(n) = -n - 1. Determine q(s).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 66301?\nAnswer: 66301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1d73c3 - 1?\nAnswer: 1d73c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**18*a)\/a*a*a*a*a**(36\/11))**(-42) assuming a is positive.\nAnswer: a**(-11214\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1331 + 210344234?\nAnswer: 210401120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2326205 - 22?\nAnswer: 2326163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 362703, 725350, 1087953, 1450512, 1813027, 2175498?\n\"Answer: -22*h**2 + 362713*h + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 39057.297816 + -39057. Let x = -0.402299 - h. Let g = x + 0.7. Round g to 5 decimal places.\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 61, 869, 1667, 2449, 3209, 3941?\n\"Answer: -u**3 + u**2 + 812*u - 751","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.137 - -4.475.\nAnswer: 4.338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*g**2 - 324\/5 - 288\/5*g - 1\/5*g**3.\nAnswer: -(g - 18)**2*(g + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.0498661 rounded to 3 dps?\nAnswer: 2.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 787 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 9438 = -7*k. Suppose 4*m + 2*g + 0*g - 6294 = 0, 2*g = -3*m + k. Let x be 2\/3 - 28\/m*39. Are x and 0 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from czwwc. Give prob of picking 1 w and 1 c.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.601 - 2.501. What is the closest to -1 in v, -0.5, -0.3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2747 (base 10) in base 5?\nAnswer: -41442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 195 + 63. Suppose -10*f + 13*f = h. Is f a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 32 - 29. Solve -2*j + 6*j - 3*t - 9 = 0, p*j = -2*t - 6 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - k + 998 = 0, 4*k = -4*w + 3*k + 1998. Let h = w - -455. What are the prime factors of h?\nAnswer: 5, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b - 4*r = 40, -4*b - 6*r = -8*r + 10 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 593?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*x**4 + 3415*x**3 + 160495*x**2 - 24565215*x - 12322305 = 0. What is x?\nAnswer: -201, -1\/2, 61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) -9 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3434793 and -0.3.\nAnswer: -1030437.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/((-252)\/(-16)))\/(4\/(4\/(-2)))\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d + d - 5 = 0, 5*x - 8 = -3*d for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 - (2 - (-2 + -4) - (-30 + 58))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 52204481 to the power of 1\/5, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -4689371, -9378747, -14068133, -18757535, -23446959?\n\"Answer: -x**3 + x**2 - 4689372*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69 = 4*o + 13. Let s(i) = -2*i - 5. Let f be s(-7). Suppose -o*n = -f*n - 30. Calculate the lowest common multiple of n and 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*p - 4*p + 2*y - 30 = 0, y = 2*p - 12. Suppose -3*m + p = -4*m. Which is smaller: m or -5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-3*sqrt(468)*-6 - sqrt(468) - (-3 + (sqrt(468) - (sqrt(468) - (sqrt(468) + 2 + sqrt(468)))) + sqrt(468)))**2.\nAnswer: 168*sqrt(13) + 91732","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m - 2*m + 15. Suppose v - 1 = 0, 10*v + 9 = 2*t + 9*v. Let u be ((-36)\/t)\/((-15)\/50). Calculate the highest common factor of u and m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -11 + 7*m - 3*m + m**2 + 3. Let z be f(-6). Suppose -4 = -5*k + 3*k. Sort -1, z, k in descending order.\nAnswer: z, k, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes before 2:55 PM?\nAnswer: 1:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rj when two letters picked without replacement from {j: 1, r: 2, q: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 38 + -34. Suppose -179 = -3*z - 4*v, h*z - 4*v - 218 = v. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2249*z**3 - 926*z**3 - 9738*z**3 + 139*z**3.\nAnswer: -12774*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -324552*i**3 + 81135*i**3 + 81135*i**3 + 81142*i**3 + 81136*i**3.\nAnswer: -4*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 144 + -144.5. What is the second smallest value in -0.1, g, -1\/5, 8?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 99042988?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ut when two letters picked without replacement from trundri.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -566.43990052 + 638.4399017. Let u = -72 + z. What is u rounded to seven decimal places?\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 7*i**3 + 573*i**2 - 87*i + 52. Let y be j(-82). Calculate the highest common factor of y and 70.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -5*k**3 + 6*k**2 + 7*k + 10. Let c(w) = w**3. Let p(y) = 4*c(y) + d(y). What are the prime factors of p(7)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 528, -31, -7\/4 in ascending order.\nAnswer: -31, -7\/4, 0.5, 528","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve i - r - 8 = 0, -i + 181 = 3*r + 193 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 2058*q**2 - q. Let o(d) = -2*d. Calculate z(o(w)).\nAnswer: 8232*w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the third derivative of -3*n**8\/560 - n**4\/3 + n**3\/3 + 4*n**2. Let w(r) be the first derivative of j(r). Differentiate w(k) with respect to k.\nAnswer: -36*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oww when three letters picked without replacement from {o: 2, w: 3}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/(-40)*(-252)\/462?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the second derivative of t**5\/40 - 11*t**4\/4 + 85*t**3 + 578*t**2 - 202*t + 2. Solve c(q) = 0.\nAnswer: -2, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 334378091 to the power of 1\/3, to the nearest integer?\nAnswer: 694","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 180242 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k - 2 + k - k**2 + 0*k. Let p be 3\/(1 + 2\/4). Determine a(p).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 - (-9)\/2)\/(4\/(-16)). Let m be (-99)\/21 - o\/(-49). What is the units digit of m*34*(10 - 11)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21 + (-1 - 14) + -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**3 - 7*n**2 + 8*n - 7. Let w be d(6). Let u(x) = -x**2 + 8*x - 14. Let p be u(w). Is 10 a factor of (-1 + 0)\/(p\/(-43))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1241, -2472, -3691, -4892, -6069, -7216?\nAnswer: -8327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 192 and 156?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1578983971 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 265.6005 microseconds to milliseconds.\nAnswer: 0.2656005","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3156153 is divided by 6046?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r and 1 e when four letters picked without replacement from llaaaaeaerarreerarl?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -123\/20 + 32\/5. Let h be (-3)\/(-2 - (1 + 0 + 0)). Let g be h + ((-23)\/20 - (-3)\/(-12)). Sort g, i, -1 in descending order.\nAnswer: i, g, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9781689.584 rounded to the nearest 1000?\nAnswer: -9782000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**3 + 9*t**2 - 8*t - 5. Let u be v(6). Let a(r) = -2*r - 7. Let l be a(-6). Calculate the greatest common divisor of l and u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.6 - 0.5. Suppose -63 = -2*g - a, 2*a + a = 2*g - 67. Let r = g + -225\/7. What is the closest to f in 1\/3, -2, r?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the first derivative of 0*o**2 + 0*o**4 - o**3 + 1\/480*o**5 + 1\/1440*o**6 + 1 + 0*o. Let u(g) be the third derivative of c(g). Factor u(y).\nAnswer: y*(y + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -248 + -958905?\nAnswer: -959153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 708505 divided by 5?\nAnswer: 141701","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 6.52 times -154\nAnswer: -1004.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70 = 3*z - 8*z. Let m(k) = k**3 + 16*k**2 + 28*k + 1. Let w be m(z). Let u(g) = g - 5 + w - 5 - 3*g. What is u(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.03 + -5.03. Let u = b - -7. Is 2 smaller than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76*r + 24*r = -18200. Calculate the highest common divisor of r and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/13467 and -53\/1407.\nAnswer: 94269","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9748, 11602, 13456, 15310, 17164, 19018?\nAnswer: 20872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3190?\nAnswer: 2, 5, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 879513096?\nAnswer: 2, 3, 7, 11, 475927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -443, -887, -1317, -1727, -2111?\n\"Answer: y**3 + y**2 - 454*y + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1185 is divided by 54?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(-3\/7)*q)\/((q**(6\/7)\/q)\/q)*(q**(-3\/11))**(-50) assuming q is positive.\nAnswer: q**(1325\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 252, -1\/2, -1 in descending order.\nAnswer: 252, -1\/2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 4.880068t?\nAnswer: 4880068000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (10 - 12 - 13)*(v**2 + v - v)*(3*v - 5*v + 0*v) in the form u + i*v**3 + k*v**2 + p*v and give i.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8184 and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 147341 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11 and 33011?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1719 and 135.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 16, -4, -78, -236, -508?\n\"Answer: -5*y**3 + 3*y**2 + 6*y + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + -17 + (35 - 2) - 106?\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3892382654?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -33\/3716 and -49\/9.\nAnswer: 33444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2264149 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3178662337 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*q**3 + 9296*q**2 - 18608*q.\nAnswer: 4*q*(q - 2)*(q + 2326)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 22*w - 12. Give h(2).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:55 PM and 12:15 AM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**2)**(-12\/13)\/(g**6)**(-18\/5) assuming g is positive.\nAnswer: g**(1464\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -4*f - 0*a - 647, -3*a = 3. Is 2 - f - (-6)\/(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven fifths of a tonne in kilograms?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -47*t**4 + 14*t**2 + 13*t + 17?\nAnswer: -564*t**2 + 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 162895 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*x**3 + 4745 - 4745 - x**3.\nAnswer: -5*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 32346 - 22151. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13094?\nAnswer: 2, 6547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4662202243?\nAnswer: 59, 79020377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -269*a**2*m*o - 472*a**2*m + a*m + m*o with respect to o.\nAnswer: -269*a**2*m + m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -a81a + -3b?\nAnswer: -a859","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 138 = -22*o + 50 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 240, 243, 248, 255, 264, 275, 288?\n\"Answer: h**2 + 239","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 0.3 (b) -5\/6 (c) 3 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 2*n - 5. Let a be i(6). Let s(m) = -6*m + 9. Let q(x) be the third derivative of -5\/24*x**4 + 0 + 4\/3*x**3 + x**2 + 0*x. Calculate a*q(w) - 6*s(w).\nAnswer: w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -6*x + 969. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a kilometer in centimeters?\nAnswer: 25000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g - 31 - 17. Calculate the greatest common factor of 12 and g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 3 + 3)*(5 - 5 + 4)*(0*p + 0*p - p)*(-39*p**2 - 16*p**2 - 19*p**2) to w + d*p + q*p**2 + g*p**3 and give g.\nAnswer: 296","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 392 divide 49000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - (-7 - 0)) + 0 + 1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*o = 16*o + 54. What is the highest common divisor of o and 135?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9753 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*h - 3842 = 107. Suppose -h = -32*a + 57. What is the remainder when 36 is divided by a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/137952 and 137\/36.\nAnswer: 137952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -5\/62319?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -111020 + 4423112?\nAnswer: 4312042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + x = -14, 31 = 3*m + x - 11. Let f = -11 + m. Let w be ((-2)\/6)\/(f\/(-9)). Which is the closest to w? (a) 1 (b) 4\/3 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3710, -27, 3.\nAnswer: -3710, -27, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -1\/274368712 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2175433?\nAnswer: 13, 167341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 84405 and 25597223?\nAnswer: 5627","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 - 11. Let w(j) = -j**3 - 9*j**2 - j - 6. Let a be w(n). What is the nearest to -0.1 in a, 0, -0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the first derivative of -2*d**7\/7 - 3251*d**6\/6 + 1894*d**3\/3 + 3729. Find the third derivative of k(p) wrt p.\nAnswer: -240*p**3 - 195060*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*c - 2157 = -348. Suppose -2*t + 3*f + 110 = 0, -15 - 37 = -t + 3*f. Let u = c - t. Calculate the greatest common factor of u and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 5*h = -20. Let a be ((-14)\/h)\/((-4)\/(-8)). Suppose 2*s = 297 - a. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9.2 + -12. Let m = 3 + u. Let k = m + -0.02. What is k rounded to one decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -2*v**3 + 14*v**2 + 4*v + 2. Suppose -r = -5*r + 28. List the prime factors of b(r).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3870 and 1.\nAnswer: 3870","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -207, -124, -19, 120, 305, 548, 861, 1256?\nAnswer: 1745","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3016480?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -714413*-4.\nAnswer: 2857652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -556*o - 104365 = -99917 for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l*l**(-4)*l*l\/(l*(l**2\/l*l)\/l)*l**(1\/14)\/(l\/(l\/(l**(-2\/5)\/l)))*(l*l**(3\/4)*l)\/l*l\/((l**7\/l)\/l)*l\/((l\/l**3)\/l)*l**5 assuming l is positive.\nAnswer: l**(731\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.1*-3.9.\nAnswer: 4.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 24 - (40 - (29 + 7))\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - o + 4*v - 226 = 0, -2*v + 232 = 2*o. Suppose 46 = 5*y - o. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 270 = u, 139*u - 137*u - 378 = -7*i. Suppose -4*k - 5*g = -91, 68 = 4*k - k + 4*g. What is the smallest common multiple of i and k?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:00 AM and 10:16 AM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 179193347 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 578 + -565. Suppose -2*i - k = -y, 2*i + k - 17 = -i. Solve 0*o + 5*u - 20 = 5*o, -o - 3*u + i = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5005331 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -0.27 (b) 0.3 (c) -0.3 (d) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = 16*p - 12*p for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 9363 * -11401\nAnswer: -106747563","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -49 divided by 1808983?\nAnswer: -49\/1808983","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2722.\nAnswer: 2, 1361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 174 and 5481.\nAnswer: 10962","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 25487300?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(54)\/sqrt(2))\/sqrt(9) + 0.\nAnswer: sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1393638.62 and 0.0457.\nAnswer: 1393638.6657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**3 - 9*r**2 - r + 11. Let p be i(9). Suppose -30 = -5*t + 2*w, -2*t - p*t = 2*w - 6. Let m be t\/2 + -7 + 9. Solve 0 = -j + m*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2095975 to the power of 1\/2, to the nearest integer?\nAnswer: 1448","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 2 (b) -0.4 (c) 5 (d) -17.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12267 + -11763.9. Let n = -467 + r. Let v = n - 31. What is v rounded to one decimal place?\nAnswer: 5.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1144 divided by -74724.\nAnswer: -22\/1437","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from {f: 3, k: 3, y: 6, a: 5, h: 1}.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3554*o**4 - 1875*o**2?\nAnswer: -85296*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 102002312 (base 4) to base 7.\nAnswer: 425324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 127\/54 and 56\/369.\nAnswer: 2214","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 16061773 to the nearest integer?\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 3 + i + (3 - 1 - 1)*(i + 2*i - 4*i) + i + 2*i + 0*i)*(2*i - 6*i + 6*i) to s*i**2 + k*i + x and give s.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/(-6)*(-20)\/(-25). What is the nearest to 3 in 2, j, 2\/19?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 4*q**2 - 9*q - 9. Let s(b) = b**2 - 2*b - 2. Let o(a) = 9*s(a) - 2*u(a). Let y(g) = -60 - 11*g + 27 + 33 - 34*g. Determine y(o(k)).\nAnswer: -45*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 166 = 2*o, -3*o + 243 = 3*y - 2*o. Suppose 0 = -0*a + 4*a + y. Let l = a + 44. Calculate the greatest common divisor of 12 and l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -119, 2, 13, -40 in increasing order.\nAnswer: -119, -40, 2, 5, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 200\/(-40) + (-24)\/(-2). Suppose -3*r = -3*d + 21, -3 = d + a*r - 6*r. Solve w + 25 = 2*x + 3*x, -2*x = d*w - 10 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5383*b**3*i - 2*b**2*i + b - 4107*i - 6 wrt b?\nAnswer: -16149*b**2*i - 4*b*i + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 - (13 - (-2439)\/(-90))?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9 - -4. Is q < 13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 247 - 59. Suppose c - 986 = -3*d. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 3*s - 2. Let q(t) = 1 - 7 - 3 + 13*t. Let j(l) = -10 + 24 + l - 12. Let a be j(-11). Determine a*r(c) + 2*q(c).\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 82928.61l in millilitres?\nAnswer: 82928610","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -9*d + 46. Let k(t) = 8*t - 34. Let i(w) = -4*k(w) - 3*q(w). Let p(n) = -3*n. Let j be p(1). Determine i(j).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from srypr. Give prob of sequence sy.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1533 - -1532.9. Is a at most 0.84?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 141*k + 280582 - 283684 for k.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/14)\/((-178)\/1246).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((-1*sqrt(1200))**2 + sqrt(1200) - sqrt(48)).\nAnswer: -6000 - 80*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 20931848 by -5232962.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 854 is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -5*k**2 + 0*k**2 + 6*k**2. Let m(a) = 5*a**2. Let n(s) = -11*l(s) + 2*m(s). Let u(o) = 2*o. Determine n(u(i)).\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 5*f - 20. Let g be (-6)\/f - 532\/(-95). Is 3 at least g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67*o + 2380 = o. Suppose 2*r + 126 = 3*r. What is the smallest common multiple of r and o?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6324, -6360, -6420, -6504?\nAnswer: -6612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 355 and 160744.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -2*t + 4. Let n be c(4). Suppose y + 28 = -5*h + 5*y, -4*h - 4*y - 8 = 0. Is h bigger than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(2\/33)*u)\/u)\/(u\/(u*u**6*u)*u*u) assuming u is positive.\nAnswer: u**(167\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) -20 (c) 5 (d) -16 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 3*q + 8 = 0. Which is the closest to q? (a) -2\/5 (b) 3\/8 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*x**2 + 31*x**2 + 11*x**2 - 9*x**2 to the form h*x**2 + i + u*x and give h.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2\/15)*r**4*r*r\/(r*r\/r**(4\/3))*(r\/(r\/(r**(-1\/2)\/r)))\/r*r)**38 assuming r is positive.\nAnswer: r**(703\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < -313386?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b*b*b*b\/(b\/(b**(-1)*b)))**(1\/4))**(1\/20) assuming b is positive.\nAnswer: b**(1\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**1\/q**(-2\/9)*((q\/(q\/(q*(q**(-2\/7)*q)\/q)*q))\/q)**29)**6 assuming q is positive.\nAnswer: q**(-4544\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*i + 3 = -14*i. Which is the nearest to -7? (a) -3 (b) 9 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 247, 488, 729, 970, 1211, 1452?\n\"Answer: 241*c + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 11.2, 1\/4, -42 in decreasing order.\nAnswer: 11.2, 0.5, 1\/4, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3451 or -3448?\nAnswer: -3448","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 - (0 + -8)) + -9 - 2.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -343 + 649. What are the prime factors of f?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*f = 4*f + 231 + 9. Suppose 8*a + 2*v = 4*a - 46, -a = -2*v + 4. Let t = f - a. What is the greatest common divisor of 5 and t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1554635 to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 27 - 16. Let x = k + -7. What is the tens digit of 135\/12 + 3\/x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the second derivative of -5*i**3\/3 + 53*i**2\/2 + 6*i - 5. Determine l(6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -342 = 12*u - 37*u + 7*u for u.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1891092735 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes before 9:20 AM?\nAnswer: 6:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10 + 2. Suppose 3 = -a*p + 13*p. Suppose i + 12 = -p*i. Sort i, 3, -1.\nAnswer: i, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.74988 to 1 dp.\nAnswer: -7.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -3*y**3 - 2*y**2. Let g be r(-2). Let p = g + -11. Solve -5 = -2*n - p*u, -2*n + 5*u + 1 = 6 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*d**3 - 527646*d**2 = 0. What is d?\nAnswer: -175882, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10 - 7. Let y = -18 + 48. Calculate the highest common divisor of m and y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52413 at least 52311?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -6*f**3 + 423*f**2 - 852*f + 426. Let u(q) = -q**3 - 3*q**2 + q. Let x(a) = -3*u(a) + v(a). Factor x(w).\nAnswer: -3*(w - 142)*(w - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2178)\/1738)\/(-9)*14\/77?\nAnswer: 2\/79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**2\/2 - 4526*a + 72288.\nAnswer: (a - 9036)*(a - 16)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 60, 118, 176?\n\"Answer: 58*h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1022336 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 3*f + 5*o - 479 = 0, 3*f - 2*o = 388. What is the greatest common divisor of 14 and f?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**3 + 4*y**2 - 3*y - 5. Let m be r(-5). Let p = 26 + -40. Let z be p\/3*m\/2. What is the greatest common factor of 7 and z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -16\/5107?\nAnswer: -16\/5107","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 15\/11486 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 15303*m**4 - 8373*m.\nAnswer: 183636*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 7*q + 41 = 12*q, -4*q + 90 = 6*u. Solve -u*f - 33*f + 176 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 + 0.8. Let p = -6 - -1. Put p, 0.2, s in ascending order.\nAnswer: p, s, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -12211.775 to the nearest 10000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 3*w - 2*w + 2988 = 0, 3*w = -9. Let y be -2*2\/(-26) + n\/3627. Which is greater: 0 or y?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/(-105)*(-27)\/6.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (25 - 20) + 3 - -3?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 y when two letters picked without replacement from zfyyggy?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15 + -10. Let z = -3.6 + -0.4. Which is the third smallest value? (a) i (b) -1\/2 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39508*q**2 - 104816*q**2 - 259*q**2.\nAnswer: -144583*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3430 is divided by 570?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y - 2*i = -37, -92*y - 3*i + 582 = 88*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -708 divided by -3\nAnswer: 236","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.265 times 2292672?\nAnswer: 607558.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -316, -605, -894?\nAnswer: -1183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -213 - -317. Suppose 0 = -2*o - 4*n + p, n - 2*n - 128 = -3*o. Calculate the remainder when o is divided by 13.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 15521, -8, 1 in decreasing order.\nAnswer: 15521, 2, 1, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 - 9. Let c be (-10)\/(-15) - w\/(-6). Solve 0 = -c*h + 5*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/6 + 32\/6. Suppose -x*t + 15 = -3*t. Suppose 6*h + 3*u = 2*h + 2, t*h = -5*u. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 75, 308, 705, 1272, 2015, 2940, 4053, 5360?\n\"Answer: f**3 + 76*f**2 - 2*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 299 + -311.9. Let v = n - -13.1. Let m = -4 + 4. Which is the smallest value? (a) v (b) -9 (c) 1 (d) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.01 in -1, 24\/13, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -244805*j**3*y - j**3 - j**2*y + j**2 + 40*j*y - 64647*j wrt j.\nAnswer: -1468830*j*y - 6*j - 2*y + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 148 divide 286823129?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-11340)\/(-10584) - (30\/28 - 1). Solve -2*d + 3 = q + 2*d, q = -2*d - j for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 3*j + 2 + j + 3. Let s be -3*((-6)\/(-9))\/(-1). Let k(b) = -2*b - 2. Calculate s*a(r) + 5*k(r).\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*z + 509590809 - 509590809.\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 9049890 divided by 15877\nAnswer: 570","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (168\/(-126))\/((-2)\/30) and 760.\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-21)\/3*(-24)\/(-28). Let x be (-3)\/o*(9 + 1). Suppose 2*d - 18758122 = -x*a + 20641888, 2 = a. Round d to the nearest one million.\nAnswer: 20000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (-60)\/15 - (-3)\/54?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are -58226.78 and 2\/25 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*x - 12*x = -4*y - 74070, -12 = -3*y. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from ffsfzffsffjfszff?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -62*n**5 - 216*n**4 + 30666*n.\nAnswer: -1240*n**3 - 2592*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5414613 is divided by 328?\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:35 PM and 5:27 AM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**3 - 14*p**2 - 19*p - 10. List the prime factors of n(-13).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**2 - 11*b - 24. Let l be (-11653)\/(-903) - 2\/(-21). Determine x(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(204)*-1 + sqrt(204) + sqrt(204)))\/(sqrt(300)*-5 - sqrt(12)) - (sqrt(153)*-1*-6 + sqrt(153) + sqrt(153) + sqrt(153))\/(sqrt(9) - sqrt(144)*1).\nAnswer: 73*sqrt(17)\/26","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -283*p**2 - 265*p**2 + 546*p**2 + 121*p**3 - 12*p**3.\nAnswer: 109*p**3 - 2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2660\/21)\/(1 - (-62)\/(-60)). Round h to the nearest 1000.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -59 - -14. Let x be 4 - -10 - (0 + -6). Let z be n\/x*-1*(-3)\/(-126). Which is greater: 1 or z?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one halves of a milligram in micrograms?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/324 and -103\/49464?\nAnswer: 148392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1152980*q = 1152995*q - 523 - 92 for q.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-4) + 132163\/(-140). Let b = 4716\/5 + m. Let y = b - -7\/4. Put 0, y, 2\/3 in descending order.\nAnswer: 2\/3, y, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 - 6)*(4*s - 3*s + 0*s)*(2 - 9*s**3 - 2).\nAnswer: 18*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the second derivative of 9*o**7\/4 - 179*o**6\/20 - 1291*o**5\/60 - 59*o**4\/18 + 50*o**3\/9 + 8*o**2\/3 + 18*o. Suppose q(x) = 0. What is x?\nAnswer: -1, -2\/9, 2\/7, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the first derivative of r**4\/2 + 296*r**3\/9 + 193*r**2\/3 + 32*r + 353. Factor n(l).\nAnswer: 2*(l + 1)*(l + 48)*(3*l + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.553 to 1 dp.\nAnswer: -6.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 0 + 230 + -210?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**4\/5 + 278*n**3\/5 + 2044*n**2\/5.\nAnswer: -2*n**2*(n - 146)*(n + 7)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -477380000 to the nearest 1000000.\nAnswer: -477000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 520*u + 191*u = 29862 for u.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fth when three letters picked without replacement from {f: 2, t: 1, h: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*n + 27*n - 90 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(245)\/(-2*1*sqrt(5)))\/(sqrt(21)\/((sqrt(30)\/(sqrt(10)*2) + sqrt(3) - sqrt(3)) + sqrt(3)))*-6)**2 + -1.\nAnswer: 563\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16981 is divided by 1061.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the third derivative of -y**5\/15 - y**4\/3 + 4*y**3\/3 - 2*y**2 + 186*y. Let w(l) = 0 + 3*l + l**2 - 4 + 1. Calculate -3*g(d) - 8*w(d).\nAnswer: 4*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.043 - -3.957. Which is the closest to 25? (a) 9 (b) j (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 54 = 2*u, 5*f + 120 = 7*u - 2*u. Suppose 6 = -4*q + u, 3*a - 5*q + 14 = 0. Suppose 50 = a*d - 5*g + g, -3*d + 4*g = -73. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**3 - 14*g**2 - 84*g - 7. Let w be m(-4). Solve 0 = 2*i - w + 53 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 - 230?\nAnswer: -226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 880 and 8269910?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.112, -0.09, -1\/2 in ascending order.\nAnswer: -1\/2, -0.09, 0.112","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1009 + 5677. What are the prime factors of z?\nAnswer: 2, 3, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 - 321?\nAnswer: -313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2\/3 (b) 12 (c) 0.03 (d) -4 (e) 12\/331\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 123 is divided by 19?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 172237411 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/(-1 + -1 + 1). Solve 7 = 2*x + h for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-30)\/(-25)*5 - -2. Suppose -d*b = -7*b - l - 2, 4*l - 4 = 0. Solve 0*h - 3*h = c + 12, b*h = -5*c for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}