diff --git "a/data/dm_maths/full_data_1/114_11255.jsonl" "b/data/dm_maths/full_data_1/114_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/114_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Calculate the least common multiple of 3780 and 60060.\nAnswer: 540540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 7, -4, 2, -1 in ascending order.\nAnswer: -4, -1, 0, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -4*y + 1. Let c be r(-1). Suppose -9 = -h + f, -2*h = -3*h + c*f + 9. Let t(s) = -s**2 + 8*s + 12. Let a be t(h). Solve -a*l = -0*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 779, 1564, 2349?\nAnswer: 3134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*p**5\/4 - 36*p**4 + 3081*p**3\/4 - 7395*p**2\/2 + 6759*p - 4290 = 0. Calculate p.\nAnswer: -65, 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the first derivative of -k**4\/4 + 2*k**3 + 4*k**2 - 2*k + 4. Let q be 4\/(-10) - 37\/(-5). What is the units digit of z(q)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -743 (base 10) to base 13.\nAnswer: -452","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4728432 to the power of 1\/2, to the nearest integer?\nAnswer: 2174","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4587 is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.3965 - 0.0385. What is x rounded to 1 dp?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-5)\/(10\/(-6)))\/1. Suppose 0 = f*w - 10 - 5. Suppose w*k = -0*k - 30. Is k <= -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xdf when three letters picked without replacement from qfqqjdqxpfffjqq?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.6 in -48, -0.3, -56?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 45 - 37. Let b be (k\/(-6 - -4))\/((-2)\/52). What is the highest common factor of 26 and b?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*w**4\/5 - 112311*w**3\/5 - 898344*w**2\/5 - 1796592*w\/5.\nAnswer: -3*w*(w + 4)**2*(w + 37429)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, -9, 5, 124.79, -2\/11.\nAnswer: -9, -2\/7, -2\/11, 5, 124.79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10? (a) 1 (b) 3 (c) -1\/52 (d) -3\/2 (e) -16 (f) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10496943901 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from zzzvvzz?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 + 308\/(-161))*-1.\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t - 2*t + 0*t)*(3*t + 4*t - 4*t) + 7562*t - 7562*t - 57 - t**2.\nAnswer: -10*t**2 - 57","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*w - 31 + 112 = 0. Let c(b) = 2*b**2 - 12*b + 17. Calculate c(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*q - 772 = 138. Suppose 130 = -0*r + 5*r. Calculate the greatest common factor of r and q.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -7*p - 143. Determine t(-22).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -39 (b) -1\/5 (c) 0.4 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -123 + 114 + 26 + -85.\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 816 at least 816?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.08*431\nAnswer: 34.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u\/(u\/(((u\/(u*(u**(2\/3)\/u)\/u*u))\/u)\/u))))**29)**(-8\/5) assuming u is positive.\nAnswer: u**(-1856\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.12 and -792847.\nAnswer: -95141.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 3478608?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(5) + (sqrt(5) - (sqrt(5) + sqrt(35)\/sqrt(7))) + 4 + sqrt(5) - (sqrt(180)\/sqrt(6))\/sqrt(6)) + -5)**2 + -1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 17723439*j*n**3 - j*n**2 + 5*j*n - 9*n**4 - 81*n**2 + 9*n - 1529 wrt n.\nAnswer: 106340634*j - 216*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 15*w**2 + 70*w. Let l(j) = -2*j**2. What is y(l(h))?\nAnswer: 60*h**4 - 140*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 142 + -146. Put -6, 2, w in descending order.\nAnswer: 2, w, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.344? (a) 850 (b) -4 (c) 1 (d) 2 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3001519 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(sqrt(13) - (2*sqrt(637) + sqrt(637))) + -5)*4)**2.\nAnswer: 12800*sqrt(13) + 1331600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 12 - 12 - 2*x + 0*x**3 - 2*x**2 + 2*x**3 in the form d*x**2 + s*x**3 + c*x + b and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18243169 is divided by 573?\nAnswer: 568","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a milligram in micrograms?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 777?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -24c29 (base 16) to base 13.\nAnswer: -536c3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2a747a2 (base 12) to base 13.\nAnswer: -1a27747","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 103 + -11?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z + 5*h + 2, 9*h - 3 = -3*z + 4*h. Suppose -2*a = -z - 7. Let p = -1 - a. Let q(r) = -r**2 - 5*r. Determine q(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 20 - (-203 - -208).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**3 - 15*b**2 + 21*b + 1. Calculate f(-16).\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - o - 5 = -5*q, 0 = 5*o. Suppose -3*p = -4*p + 1. Let y be (p\/27)\/((-5)\/(-30)). What is the second smallest value in -3, y, q?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (1\/2)\/(-2 + (-5190)\/(-2592))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 - -7. Suppose 4*m = -n + 18, m - 3*n = -4*n + 6. What is the second derivative of -m - t**3 + 0*t**v + 4 - t wrt t?\nAnswer: -6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*b + 10 + 902 = 0. What are the prime factors of b?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.392 - 9.392. Sort q, -0.3, -5 in ascending order.\nAnswer: q, -5, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 222*r**2 + r + 2. Let f be a(6). Round f to the nearest one thousand.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -12? (a) 7\/527 (b) -7 (c) 4 (d) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -36 at most -147?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16355?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 2*n - 90 = -a, -3*a = n - 302. Suppose 201 + 74 = -5*t - 5*z, -t - 51 = 5*z. Let c = a + t. What are the prime factors of c?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00012821 to 6 decimal places.\nAnswer: -0.000128","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 2964.5*-0.103\nAnswer: -305.3435","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k + 1. Let q(n) = 16*n + 2. Let i(x) = -5*a(x) + q(x). Let t be i(7). List the prime factors of (1 + -4)*t\/(-6).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*v - 4*q - 769456 + 769440, -4*v = -5*q + 45 for v.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 221 divided by 6\nAnswer: 221\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -4*v - 5*s + 20, -4 = -s. Solve 3*p - 5 = -v for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -3*y - 10. Let u be h(-5). Suppose 5 = -u*n + 3*l + 2*l, -l + 3 = n. Let i be (-8)\/((4\/n)\/(-2)). Solve i = -g + 2 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 221012120 (base 3) in base 4?\nAnswer: 10133013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/(-14) + 80\/(-35). Let j = m - -2. Suppose -3*q + j*q + 36 = 0. Solve -v = 2*v + q for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -35*x - 10. Let i = -17 - 1. Let d be (-26)\/117 - (-86)\/i. What is the hundreds digit of p(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 3*d**2 + 1 - 3*d**3 + 4*d**3 - 7*d**2 + 2*d - d. Is 12 a factor of l(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-27)\/6)\/((-3)\/2). What is the closest to -146\/5 in -5, 1\/4, x?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12*((-32)\/4)\/144)\/(13\/(-6))?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-8)\/(-28)*1 + 19\/399*36. Let x(g) = g + 2. Let l = 1 + 2. Let j be x(l). Solve -5*m + 0*m = -p - 2, -a*m = p - j for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -23 + -12024?\nAnswer: -12051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the third derivative of v**4\/24 + v**3\/6 + 3*v**2. What are the prime factors of o(5)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ca when two letters picked without replacement from {c: 1, s: 2, a: 3, v: 1, i: 2, j: 3}?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 791638.\nAnswer: 2, 101, 3919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1003.9 - -1004. Put 91, 4, u in increasing order.\nAnswer: u, 4, 91","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 58*f**2 + 163*f - 29*f**2 - 163*f - 31*f**2. Let p(k) = -10*k + 126. Determine j(p(t)).\nAnswer: -200*t**2 + 5040*t - 31752","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -776 by -106.\nAnswer: 388\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -29 - -35. Suppose 732 + 5688 = u*s. Round s to the nearest one hundred.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20085997.6 - 26.\nAnswer: -20086023.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 divided by -2085162.\nAnswer: -7\/695054","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00696594 rounded to 3 decimal places?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 199, 245, 291, 331, 359, 369?\n\"Answer: -i**3 + 6*i**2 + 35*i + 159","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 63776.31 tonnes?\nAnswer: 63776310000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 5*y + 1. Let s(f) = -499*f + 4 - 1 - 2 + 503*f. What is -5*b(m) + 6*s(m)?\nAnswer: -m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 15*w**3 - 139*w**2 + 54*w - 6. Calculate u(9).\nAnswer: 156","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 3*z**2 + 20*z + 5. Let m(a) = -13*a**2 - 7*a - 2. Let y(u) = 3*u**2. Let r(p) = m(p) + 4*y(p). Determine -3*k(d) - 8*r(d).\nAnswer: -d**2 - 4*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the first derivative of -7*m**5\/24 - m**3\/3 + 2. Let a(u) be the third derivative of t(u). Is a(-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -248624*d**2 - 7959. Let t(h) = 375*h**2 + 12. Let u(j) = 4*o(j) + 2653*t(j). Let r(x) = 26*x**2. Determine u(r(c)).\nAnswer: 256204*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 889 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - w - 4 + 0)*(-1 + 2 + 1)*(-3 + 4 - 4).\nAnswer: 6*w - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 304 and 176?\nAnswer: 3344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95*r + 3760 = 845*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -0*c + 5*d + 16, -2*d = 4. Let p be (c\/(-6))\/((-1)\/6). Suppose 4*z + 5*t = 252, 0*t = z + p*t - 56. 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: Suppose 1235000 = 8*s - 3*s. Round s to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -272 divided by 136381.\nAnswer: -272\/136381","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**2 - 8*f + 2. Let c be r(7). Let x = 3 - -20. Sort 0, c, x in descending order.\nAnswer: x, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14 and 46809.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3399 in -3, -3\/5, -5, -5\/2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 204 - d?\nAnswer: 1e6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (24\/(-42))\/((-4)\/14). Suppose i = -z*i. Suppose i*m = 4*m + 20. Sort 1.1, -1, m in descending order.\nAnswer: 1.1, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14896091?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*v - 26*v - 18*v + 28*v - 16*v.\nAnswer: 4*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 75 or -54?\nAnswer: -54","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the first derivative of 2*w**3\/3 + 5*w**2\/2 - 7*w - 398. Give r(-6).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 488178388?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in m + 594*m**2 - 1825*m**2 - 8874 + 0*m.\nAnswer: -1231*m**2 + m - 8874","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*g - 5*g = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4413425733 to the power of 1\/2, to the nearest integer?\nAnswer: 66434","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 2*k - 16. Let d = -7 + 6. Let l(a) = 510*a - 13265. Let v be l(26). Sort 1, v, k, d in descending order.\nAnswer: k, 1, d, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 275912 is divided by 137?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 8*l - 348. What is y(45)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 956.899939295 - 956.9. What is r rounded to 6 dps?\nAnswer: -0.000061","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 735\/5*(-4)\/(-3). Let h = o + -102. Let y = -435 - -460. Calculate the remainder when h is divided by y.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4860 and 1620?\nAnswer: 4860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r**4 + 3*r**4 - 3*r**4)*(-1321 + 1321 + 14*r)*(-2 - 2 + 3).\nAnswer: 28*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 173*d + 1827. Give g(-22).\nAnswer: -1979","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -14 - (9 + -22 + -14). Solve -p*w - 9 = -10*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (-11 - ((-2 - -31 - (-9 + 5)) + 0))?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the first derivative of -q**7\/350 - q**6\/200 + q**5\/50 - 49*q**2\/2 + 33. Let c(l) be the second derivative of f(l). Let c(o) = 0. Calculate o.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 6004 - -312?\nAnswer: 6316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 100 and 225.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7227 and 243.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the first derivative of -10*b - 22 - 5\/2*b**2 + 5\/3*b**3. Let j(o) = 0. Calculate o.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*a + 1 = -3*y + 11*a, -3*y + 6*a + 39 = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1452.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 47593.16ml to litres.\nAnswer: 47.59316","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 55635493 to the nearest integer?\nAnswer: 382","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -4, -116134260 in descending order.\nAnswer: -1, -4, -116134260","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - 4) + -19 + 28 + 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1894*x**4 + 10398*x**2 + 431 - 10398*x**2 wrt x?\nAnswer: 7576*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10062 - 9191 = -67*i for i.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o = -o. Suppose -2*m - 5*i + 4805 = -o*m, -5*m - i = -12001. Round m to the nearest one thousand.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3811974 rounded to one decimal place?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1522 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -14*j**2 - 21*j - 23. Give k(-6).\nAnswer: -401","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 1680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 316237 and 925327?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:49 AM and 7:40 AM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve h + 2*r - 25 + 9 = 0, 0 = -5*r + 2 + 3 - 0 for h.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 220, 349, 534, 775?\nAnswer: 1072","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b - h - 33, 0 = -11*b + 12*b - 5*h - 21. Suppose -5*d + 47 = 4*i, 0*d = -d + 3. Is i at most as big as b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/24 of a day?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.012, -26390, -1?\nAnswer: 0.012","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 47174 - 24006. Suppose -s = -5, -3*h + 2*s - u - 13820 = 0. Let g = h - -148007\/12. What is the common denominator of -31\/8 and g?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 28 and 63?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -253*t + 524 = 36*t - 343 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the second derivative of i**3\/6 - i**2\/2 + 4*i. Let l(g) = 2*g**2 - 4 + 4 + 5 + 1 - 6*g. What is 6*b(t) + l(t)?\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -81 + 84. Suppose 108 = j*a + 108. Suppose -3*m - 4*m + 7273 = a. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mobfzjzm. What is prob of picking 1 m and 1 f?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 53.191003 rounded to one decimal place?\nAnswer: 53.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -143\/318 and 19\/371.\nAnswer: 2226","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -227 + 228. What is the units digit of (-10902)\/(-27) + ((-11)\/(-9) - i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*r + 6*r + 836 = 0. Let w be 23\/299 - r\/13. Solve 4*b = n + 14, 0 = -w*b - n + 2*n + 11 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**3 + p**2 - p + 1. Let x be v(1). Solve x = -k + 4*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 9 = k, 3*i = -5*k - 0*k + 11. Suppose i*p = -2 + 6. Suppose 2*u = -q - 5, -3*q - 5*u = -p*q + 20. Is q a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 110.98 - 111. Which is the closest to 0.1? (a) -0.4 (b) 4 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -34 - -36. Suppose 3*r + 23 = 5*r + x, -5*r + 60 = m*x. Solve -12*s**3 - 5*s**4 + 12*s - 5*s**4 - 4*s**2 - 8*s**4 + 8 + r*s**4 = 0 for s.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(25) - (sqrt(50)*-1)\/sqrt(2)) + (sqrt(1600) + (sqrt(1600)*2 - sqrt(1600)) - sqrt(1600)) + sqrt(1600))\/((sqrt(4500) - 2*sqrt(4500))\/sqrt(9)).\nAnswer: -9*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.44 + -53.06. Let p = t - 464.1. What is p rounded to the nearest ten?\nAnswer: -520","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2859302950 to the power of 1\/2, to the nearest integer?\nAnswer: 53472","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**1\/(w*w*(w\/((w**(2\/13)*w)\/w))\/w*w)*w**(1\/7)*w**(-2) assuming w is positive.\nAnswer: w**(-337\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(1\/22))**(-3\/47) assuming m is positive.\nAnswer: m**(-3\/1034)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2 + sqrt(1008) + 1 - (2 + sqrt(1008)*-1)) + (1*((2*sqrt(1008) - sqrt(1008)) + sqrt(1008)) + -4 + (sqrt(1008)*-2 - sqrt(1008)))*4)*-3)**2.\nAnswer: 8208*sqrt(7) + 39537","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**2 + 620*o + 3756.\nAnswer: -(o - 626)*(o + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 2\/37 (b) -25 (c) -0.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a litre in millilitres?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 230 is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**3 - b**2 - 14. Let m be t(3). Let y = -0.2 + 0. What is the second smallest value in 2\/15, y, m, 0.5?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*a + 0*a - 2*a + (3*a + 2*a - 6*a)*(1 - 3 + 3) + (0 + 1 - 3)*(2*a + 0 + 0).\nAnswer: -7*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes before 2:03 AM?\nAnswer: 1:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*c + 120 = 99 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -69 + 1119. List the prime factors of q.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 r, 1 h, and 1 n when four letters picked without replacement from mmrnrlcch.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -999, -1101, -1161, -1161, -1083, -909?\n\"Answer: 3*j**3 + 3*j**2 - 132*j - 873","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ipi when three letters picked without replacement from iippiih.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the second derivative of 1\/70*q**5 + 0*q**2 + 0*q**3 + q - 1\/21*q**4 + 0. Factor p(o).\nAnswer: 2*o**2*(o - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -33194 take away 0.067?\nAnswer: -33194.067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 56539?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 860.05965 rounded to 0 decimal places?\nAnswer: 860","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in 26\/7, -0.4, -0.028, 2\/19, 0?\nAnswer: 26\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -27 - 22. Let z = 70 + a. What are the prime factors of z?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 - -1 - (1 - -1)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 6}. What is prob of picking 3 k?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -107, -495, -883, -1271, -1659?\n\"Answer: -388*n + 281","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -3b (base 16) to base 4\nAnswer: -323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -35*w + 6. Let i(y) = 64*y - 11. Let r(p) = -6*i(p) - 11*v(p). Let q(k) = 333*k - 2. Determine q(r(x)).\nAnswer: 333*x - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -12*s + 302. Determine p(22).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = 3*b - b - 17, -5*p = 4*b - 31. Suppose -b*n = 0, 0 = 2*i + 5*n + 4 - 12. Calculate the lowest common multiple of 2 and i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2584+251.395\nAnswer: -2332.605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 561\/33 + (-5 - 4).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24493 plus 11916.671?\nAnswer: 36409.671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -222 - -2440\/11. Let t(r) = r - 17. Let x be t(0). Let w = x + 52\/3. Which is the closest to d? (a) 4 (b) 0.2 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2025 and 275.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -332*r**3 + 2*r + 1 + 1437*r**3 - 132*r**3 to the form s*r**3 + o + x*r + u*r**2 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 88194?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 5 - 3 = 0. Suppose 7859264 = -0*q + f*q. Suppose -3*t - 2355184 - q = 0. Round t to the nearest 100000.\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 1\/41189017 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1\/3 (b) -7 (c) 0.3 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -124*p**2 + 47*p**2 - 25*p**2 - 23*p**2 + 81 + 16*p**2 to b + u*p + w*p**2 and give w.\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(119) - (sqrt(119) + sqrt(119)*-1)) + sqrt(119))\/sqrt(7))**2 + ((1*sqrt(119))\/sqrt(7))**2.\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times 2.20641838?\nAnswer: 0.441283676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -f**4 - 3*f**3*x - 2826*f**2*x**2 - 78003*f*x**2 - 2*x**2 wrt f.\nAnswer: -12*f**2 - 18*f*x - 5652*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 500066525 to the power of 1\/2, to the nearest integer?\nAnswer: 22362","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, -2770, -4, 11, 4.\nAnswer: -2770, -4, 4, 11, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -2468708.2 rounded to the nearest one thousand?\nAnswer: -2469000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is (352513\/(-42))\/(1*(-1)\/6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-2)\/6)\/(7\/(-1785))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - f = 6 - 19, -5*p + 10 = -2*f. Suppose 7*q + 24 = 9*q. Solve 2*y = 2*m - 6, p*m + 0*m = -y + q for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.38 - 1.72. Let y = 1.7 + n. Which is the third biggest value? (a) 1\/2 (b) y (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5007*r**4 - 8*r**2 + 121*r + 2 wrt r?\nAnswer: -120168*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 88.54562 centuries to decades.\nAnswer: 885.4562","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-143 + 143 + 246*y)*(3 - 13 + 31*y + 9) in the form m*y + u*y**2 + d and give m.\nAnswer: -246","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4*5*(2 + 0). Let j be 1\/2*(-9912)\/(-413). Calculate the greatest common divisor of j and a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 8*c**2 + 4*c - 7. Let d(g) be the first derivative of 3*g**3 + 5*g**2\/2 - 8*g - 5. Let p(r) = 5*d(r) - 6*q(r). Give p(2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1\/5 of a centimeter?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -998 + 1003. Solve 0*b + 6 = -2*j - 4*b, p*j = 2*b - 27 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*d - 6*d = 2*k + 10, 2*d - 14 = -2*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.049329278 - 13.\nAnswer: -12.950670722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:11 PM and 7:39 AM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*k - 3*k**3 + 10*k + 1 + 7*k**3 - 29*k + 0*k**3 in the form w*k**3 + r*k + d + m*k**2 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 18 - 13 = 0. Let r(g) be the third derivative of 13*g**4\/24 + g**3\/6 + g**2. Determine r(i).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vq when two letters picked without replacement from qpvamka?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**3 - 9*v**2 - v + 6. Let k be n(-6). Let t be 4 + -2 + -3 - k. Let y = t + -68. Is 7 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x = 10, -d - 22 = -4*d + 2*x for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/28*140\/(860\/(-43))?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2785813 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 4 + 2*n)*(-4 + 11 + 8) + (-2*n + n + 0*n)*(3 - 5 + 3) + 2*n - n - 2*n + (n + 1 - 1)*(3 - 5 + 0) + 24 - 24 + 52*n to the form v*n + u and give v.\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a kilogram in grams?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -50 + 85. Let r = p + -35.091. Let t = -0.461 - r. What is t rounded to one dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*v**4 - v**4 + 3*v**4)*(v + 0*v + 4*v) - 4*v**5 + 5*v**5 - 2*v**5 + 14*v**2 - 14*v**2 - 10*v**5 + (-v - 2 + 2)*(3*v**4 + 0*v**4 - 4*v**4).\nAnswer: -20*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a litre in millilitres?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (12\/(-10))\/((-28)\/(-14))\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8348, 8231, 8114?\nAnswer: 7997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 330 from 1.3421.\nAnswer: -328.6579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 8*o - 1. Let i be z(1). Suppose -5*s = -i*s + 254. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -162996 divided by 3\nAnswer: -54332","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -342 by 114.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 173 + -169. Solve 5*x = -y + 28, -2*x + 0*x - 2 = -v*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 81\/76 and -73\/296?\nAnswer: 5624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 172442069741\/2415 - 71404585. Let h = p - -46\/35. Is h less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10824 and 33.\nAnswer: 10824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 2*k + 14 = i, 5*i - 22 = -4*k. Suppose 2*v - 4 = v, -i*v = r - 10. Calculate the lowest common multiple of 22 and r.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 + -5. Let k(j) be the third derivative of 1\/24*j**4 + 0 + 0*j + 0*j**3 + 1\/60*j**5 - 3*j**2. Let d(i) = -14*i**2 - 12*i. Calculate a*d(f) - 12*k(f).\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 2*l**2 + 11*l + 5. Let x be u(0). Solve 3 = -i, i + x = -3*k - 4 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 132 - 78. Let a = x + -29. Let r = 21 + a. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/2*(-4)\/(-6)*-25. What is the third derivative of 47 - 46*p**3 - 2*p - q - 58*p**2 - 22 wrt p?\nAnswer: -276","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38029540237 take away -0.13513?\nAnswer: 38029540237.13513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*p - 2*q + 26 = -6*p + 17*p, -6*q + 10 = -2*p + 42 for p.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + 2*v - 6 = -3*v, 0 = -4*k - 4*v - 8 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5\/10*1*6. Find the first derivative of -19*q**2 + 19*q**2 - 3*q**t + 6*q**3 - 10 wrt q.\nAnswer: 9*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 663 - 416. Suppose 5*j - 2*g = -0*g + v, -2*g - 149 = -3*j. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9799\/4 - -2431. What is the common denominator of n and -111\/22?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -197965, -395930, -593895, -791860?\n\"Answer: -197965*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*l - 74*v + 69*v + 60, l + 2*v = -21 for l.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3\/2)\/(9\/12). Suppose -l*q + f + 3 = 0, 4*q - 4*f = 2*q - 6. Suppose -2 = g + 2. Put g, q, 5 in ascending order.\nAnswer: g, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yzclllcyxay. What is prob of sequence czc?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -5*h - 4 + h**2 + 15*h - 4*h. Suppose -x = 4 + 4. Let w be l(x). Calculate the greatest common divisor of 3 and w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:19 PM and 9:55 PM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1*(2 - (-518 + -6))?\nAnswer: 2, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 93*p + 12. Let h(j) = 1022*j + 133. Let f(o) = 5*h(o) - 56*x(o). List the prime factors of f(-4).\nAnswer: 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -859 - -862. Solve 2*v + 11 = h for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 + 1. Let d(m) = -6*m - 6. Let y be d(p). Suppose -2*c + 3 + y = h, h = 3*c - 24. What is the lowest common multiple of c and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 132 + 116 = 0. Let f(k) = 4*k**3 - 13*k**2 - 37*k + 5. What is the hundreds digit of f(d)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1302.0437 rounded to 0 decimal places?\nAnswer: 1302","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 - -7 - (156\/12 + -10). Sort 1, 4\/5, u, -0.4 in ascending order.\nAnswer: -0.4, 4\/5, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:19 PM and 12:55 AM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4361 and 49.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38429?\nAnswer: 83, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:07 PM and 8:16 AM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -19389*i**2. Let o(m) = -47*m. Calculate o(r(u)).\nAnswer: 911283*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 32*w**2 + 148*w + 21. Calculate k(-5).\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**2 - 3*q + 6. Let i be c(6). Let x be (2 - 2)\/(-2 - -6). Suppose x = 3*g - 93 - 87. What is the greatest common factor of g and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -311*l**3 + 17*l**2 + 49*l + 20. Is u(-2) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1295182657 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**3 + 9*m**2 - 11*m - 7. Let q be j(-10). Suppose 3*g = 4*c - 23, 0 = 2*c + 3*c + q*g + 5. Is 0\/(-2) - (-89 - c) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6692324?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/647 in 2\/7, -4, 1\/2, -5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 25251?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 8939 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 0, -2*c + 2*c + 2*c = 2*o - 2. What is the nearest to c in 2, -2\/5, -81, -0.2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the first derivative of -80*g - 20*g**4 - 1 + 40*g**2 - 5\/6*g**6 + 40\/3*g**3 + 7*g**5. Factor i(h).\nAnswer: -5*(h - 2)**4*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 170.66706 rounded to the nearest 10?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -52*p**5\/3 - 1516*p**4\/3 - 1636*p**3\/3 + 1292*p**2\/3 + 1688*p\/3 + 224\/3 = 0.\nAnswer: -28, -1, -2\/13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -52246 and 0.2?\nAnswer: -10449.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 4*i = -5*i - 186, 2*u - 3*i - 374 = 0. Calculate the highest common divisor of u and 9292.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 58 = -n, 5*n = 3*x - 6*x + 26. Solve 12 + x = 6*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1993691, 3987380, 5981069?\nAnswer: 7974758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -67272*22\/(-16 + -116).\nAnswer: 2, 2803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 44541810*p**5 + 2*p**3 + 20*p**2 - 17*p + 5149.\nAnswer: 2672508600*p**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2908?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 186 and 1581618?\nAnswer: 49030158","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1249 and -4.7?\nAnswer: 5870.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w + 116 - 35. Let n be 4\/2*w\/(-54). Are -0.085 and n equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3221.2 + 3221. What is the closest to 8 in j, -1, -1.1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7 (base 9) to base 16.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00128049271 rounded to five dps?\nAnswer: 0.00128","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5028, 10054, 15080, 20106?\nAnswer: 25132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 7144b - -4?\nAnswer: 71451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**2 - 9*d + 11. Let t be -2 - 9 - (0 - 1). Let u be y(t). Let c be (u\/3)\/((-4)\/12). Which is smaller: c or 2\/15?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16 and 1508448.\nAnswer: 1508448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.3478 + 0.0478. Suppose 31 = -2*i + 39. Sort i, h, -0.1.\nAnswer: h, -0.1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -825 + 832. Solve -3*c = d - v, -4*c + 16 = -2*d - 0*d for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of f*x**2 - 172*f*x + 1555*f + 2*x**2 wrt x?\nAnswer: 2*f*x - 172*f + 4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1277\/114456 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 49\/3 - 16. Let r = -4.2 - -4. Which is the nearest to r? (a) v (b) 2 (c) -5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/(-21)*8\/2. Let v = -28.12 - -0.12. Let i = -27.89 - v. What is the second biggest value in k, -3, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 245, 463, 667, 851, 1009?\n\"Answer: -l**3 - l**2 + 228*l + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2723273 a multiple of 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 1 + o**2 - 4*o + 3*o**2 + 5*o - 5*o**2. Let x be 16\/6*(-3)\/(-2). Let c(j) = -j**3 + 6*j**2 - 5*j - 4. Give x*a(i) + c(i).\nAnswer: -i**3 + 2*i**2 - i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -18 + 6. Let h = -8.45 - -5.26. Let q = h - -0.19. What is the nearest to 1\/4 in -4, c, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 8 = u. Let b(m) = m**3 + 3*m**2 + 2*m - 3. Let a be b(-3). Let j = a - u. Calculate the smallest common multiple of j and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) -2 (b) -3 (c) 3\/4 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-7))**(2\/121) assuming v is positive.\nAnswer: v**(-14\/121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16569 (base 10) to base 3.\nAnswer: -211201200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 229789950.\nAnswer: 2, 3, 5, 13, 117841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -36586.9 and 1?\nAnswer: -36586.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 123336422?\nAnswer: 2, 11, 1187, 4723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 672.7442 milligrams in micrograms?\nAnswer: 672744.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -87, -224, -361, -498, -635, -772?\nAnswer: -909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15, 25, 43, 69, 103?\nAnswer: 145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 84*x**3 - 6*x**2 - 6. Let t(m) = -169*m**3 + 13*m**2 + 13. Give 13*k(c) + 6*t(c).\nAnswer: 78*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -6*l + 4*u - 6041, -3*l + u - 3626 = 0. Let y = l + 2887. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**2 - b + 6. Let q(w) = -w**2 + 2*w - 13. Let c(p) = 13*j(p) + 6*q(p). Calculate c(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 6 + 4)*(1 - 1 - i) + (2*i + i - 2*i + (2 - 7 + 1)*(0*i - 4*i + 3*i))*(2 + 0 + 2).\nAnswer: 18*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -7*z**2 - 3*z - 4. Let i(t) = -8*t**2 - 3*t - 5. Give -6*g(k) + 5*i(k).\nAnswer: 2*k**2 + 3*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*o**5 - 98*o**4 - 284*o**2 + 4591973*o?\nAnswer: 60*o**3 - 1176*o**2 - 568","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.8 + 1.5. Put 5, q, -5 in decreasing order.\nAnswer: 5, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 0*m = w - 32, 0 = -2*w - 3*m + 52. What are the prime factors of w?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from {n: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -138920.6921 rounded to the nearest one thousand?\nAnswer: -139000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 901.78051 less than 2070814?\nAnswer: 2069912.21949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -19 + -26?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1384258?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*p + p + 2*p + p.\nAnswer: 8*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, -2, 19 in descending order.\nAnswer: 19, -2, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**2 + 27*a - 34. Let i be c(17). Suppose -2*u + i = -0*u. Suppose 6*y = 2*y + u. Calculate the remainder when 83 is divided by y.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 34 and 26?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(300) + -2 - ((sqrt(300)*-2 - sqrt(300)) + -3))**2 + (4 + sqrt(300) + -1*sqrt(300) - (sqrt(300)*-1 + -3 + sqrt(300)))**2 + -5)*-3.\nAnswer: -14535 - 240*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -0*d - d, 3*d - 18 = 3*i. Suppose -19 = -4*u - 7. Suppose 11 = u*v + 5. Solve g - 3 = k + v*g, -d*g - 16 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2120 - -32?\nAnswer: 2152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 132002833 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 549184238?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-1\/4)\/f)**(-42))**11*((f*f\/f**7)\/f)\/(f\/f**1)*(f**(-1)\/f)\/(f**6*f) assuming f is positive.\nAnswer: f**(1125\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-3)\/(-12) + 35\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -69956.0022 - -69975. Let s = -19 + x. What is s rounded to 3 dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 546.9422 + -547. Round z to 3 dps.\nAnswer: -0.058","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9186911 millilitres in litres?\nAnswer: 0.0009186911","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1101000 (base 3) to base 5\nAnswer: -12444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/((-4)\/24))\/(3 - 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*t + 0*t + 8*t = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-10)\/((-2*1)\/1). Let o = 156922 - 156929. Which is the closest to -0.1? (a) o (b) w (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 + 2. Let m = -4110 + 4120. Let y(j) = j**3 - 6*j**2 - 6*j - 6. Let r be y(7). Solve d - m = 5*z - g*d, -d + r = -4*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*b**2*d*s**3 + 114*b**2*s**3 + 139*b*d*s**3 wrt d?\nAnswer: 2*b**2*s**3 + 139*b*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 249, 256, 261, 258, 241, 204?\n\"Answer: -f**3 + 5*f**2 - f + 246","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 15*s**2 - 5*s + 5. Let j be b(2). Let m = 109 - 52. Let c = j - m. Is 0.05 less than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand x**3 - 3*x + 3*x + (-2*x + 1 - 1)*(0*x**2 - 3*x**2 + x**2) - 4 + 2 + 387*x**3 - 381*x**3.\nAnswer: 11*x**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7.33 + -0.67. Let h = 52 - 41. Let i = p + h. Which is the closest to 5? (a) i (b) 0.3 (c) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -3*o - 4*k, -7*o + 36 = -3*o + 103*k - 107*k for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9367601 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h**3 + 2*h**3 - 2*h**3)*(h**2 + 6*h**2 - 262*h + 187*h).\nAnswer: -14*h**5 + 150*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(325))**2 + (sqrt(52)\/sqrt(4) + 1)**2 + sqrt(117)\/(sqrt(225)*1 + sqrt(9)).\nAnswer: -47*sqrt(13)\/6 + 340","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v = -k + 12, 3*k - v + 25 - 31 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 25 (b) -3 (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*p + 4 = 11*p. What is the second derivative of 189*m + p*m**4 - 174*m + 3*m**4 + m**4 wrt m?\nAnswer: 72*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:58 AM and 1:17 PM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -833 + 830. Sort 2, 23, n in ascending order.\nAnswer: n, 2, 23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -110297, -220593, -330889, -441185?\n\"Answer: -110296*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-19 - 27 - 3)*(-2 + 6 - 2) - 120 - 124 + 213)*(2*t - 2*t + t**2) to the form q*t + r + b*t**2 and give b.\nAnswer: -129","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (16\/(-24))\/((-5)\/(-45)). Suppose 2*u = 5*w - 203, -u + 2 = u. Let s = c + w. Is s a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3215*t + 23 wrt t?\nAnswer: -3215","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-one quarters of a kilogram in grams?\nAnswer: 15250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -285282 divided by 6.\nAnswer: -47547","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3863 + 13?\nAnswer: 3876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 197\/31110 and -103\/42.\nAnswer: 217770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -7*l**3 + 107*l**2 - 9*l + 81. What are the prime factors of q(14)?\nAnswer: 3, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 65.1*0.028783.\nAnswer: 1.8737733","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(2) + (sqrt(98) - 3*sqrt(98)) - sqrt(12)\/(sqrt(6)*-2)) + 2)**2 + -3.\nAnswer: 100*sqrt(2) + 1251","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a kilogram in grams?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 422*m**3 + 426*m**3 - 1720*m**3 + 437*m**3 + 432*m**3.\nAnswer: -3*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 28*z + 3. List the prime factors of p(3).\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 6, m: 7, e: 4}. What is prob of picking 2 c and 2 m?\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the third derivative of 0*f + f**2 + 0*f**4 + 0*f**3 + 0 + 1\/30*f**5. Let o(l) = -10*l. What is r(o(p))?\nAnswer: 200*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-13)\/(-2))\/(1\/(-2)). Let x be 21\/27 - (-6)\/27. List the prime factors of 12 + r - (-44)\/x.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 g when four letters picked without replacement from ssgqqqfsqgsqsqgqqgs?\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Is 1 >= 0.0079?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes after 4:35 AM?\nAnswer: 7:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6.3 - 6. Let k(t) = -5*t + 43. Let h be k(8). Let o be 6\/9 + (-5)\/h. Put z, -0.2, o in decreasing order.\nAnswer: z, -0.2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*q = -6*q + 456. Suppose q*b = 2135 + 5066. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35683?\nAnswer: 17, 2099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 + -12. Calculate the remainder when 21 is divided by i\/(2*6\/(-8)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -692*u**3 + 1398*u**3 - 22*u - 685*u**3.\nAnswer: 21*u**3 - 22*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -4007.2207 rounded to the nearest ten?\nAnswer: -4010","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p**(5\/2)*p)*p)**(9\/4)\/(p**(-1\/17)\/(p*p*p**19)))**(2\/31) assuming p is positive.\nAnswer: p**(2405\/2108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 103031659.\nAnswer: 103031659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the third derivative of 13*b**5\/30 + b**4\/24 - 19*b**2 + 17*b. What is f(1)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -13*d**3 - 3*d**2 + 9*d - 2. Let i(h) = h**3 + h**2 - h. Let y(g) = -6*i(g) - m(g). Is y(4) a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.3 (b) 3 (c) -76 (d) -2 (e) 1.06 (f) 4 (g) 2.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 215340190 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 + 8?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the third derivative of 0*a**4 - 1\/20*a**5 + 4*a**2 + 0 + 0*a + 0*a**3. Let g(v) = -2*v**2 + 2*v**2 + 2*v**2. Give g(u(i)).\nAnswer: 18*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 - 16 = 2*t + p, -3*p - 18 = -3*t. Let w(s) = -38*s**3 + s**2 - t + s + 37*s**3 + 0*s. Calculate w(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 768086 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**0\/v**0)\/(((v*v**1)\/v)\/(v*v**(-1\/7))))\/(v**(-6)*v*v**(-2\/5)\/v*v**(-2\/3)\/(v**0\/v*v)) assuming v is positive.\nAnswer: v**(727\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.5 in 33, 2\/9, 56?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 95641999 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m - 4*d - 4, 0*d = 3*m - 5*d - 12. Suppose -1018 = -i - 184. Suppose -4*k - 2*p + i = 0, -3*k + m*p + 217 = -436. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gzgtzdggggzo. Give prob of sequence ozg.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.635 to 1 dp.\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1870\/60 + ((-7)\/6)\/7. Suppose 3*g = -61 + u. Let j = g + 12. Solve 2*d - j*r + 8 = 0, -2*d - 3*r + r = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -25 + 21*v**2 - 20 - 18*v**2 + v - 43 + 13 to z + s*v**2 + o*v and give z.\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -2*r + 11. Let h = 14 + -22. Give t(h).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1\/(-3))\/(18\/(-108)). Sort -14, y, 4 in descending order.\nAnswer: 4, y, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 25\/4 of a litre?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (85\/(-3))\/(-2 - (-35)\/15). Find the common denominator of (-2337)\/(-3470) + 51\/r and -15\/14.\nAnswer: 4858","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1010233 divided by -1154?\nAnswer: 1010233\/1154","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**2 + 2*s - 4. Let u be y(2). Let d be (u\/5)\/((-14)\/6440). Let h = d - 258. What are the prime factors of h?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11*w**5 - w**4 - 121*w**3 - w**2 - w + 5590?\nAnswer: 660*w**2 - 24*w - 726","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1261 - -1265. Let y(i) = -i - 2. Let m(p) = -2. Let d(s) = 6*m(s) - 4*y(s). Give d(l).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9290?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in three tenths of a centimeter?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*b + 75 = 3*p, 13*b = 18*b - 4*p - 3*p + 10*p - 18 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1070985?\nAnswer: 3, 5, 71399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(171)*4 + sqrt(19) + (sqrt(76)*1 - sqrt(76))\/sqrt(4).\nAnswer: 13*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 67047 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -0*x - 4*x. Let o be -1*(x - -1) - -18. Suppose -1 = -3*u - o. Put 2, -2, u in decreasing order.\nAnswer: 2, -2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5602837*l - 6105617.\nAnswer: -5602837","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1629 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**2 - 1. Suppose 9 + 3 = -12*z. Let f(r) = r. What is z*f(v) + 2*y(v)?\nAnswer: 2*v**2 - v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11023 (base 6) to base 8.\nAnswer: 2767","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a - 9. Determine h(-7).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 6*u**3 - 2192*u**2\/3 + 30314*u\/3 + 154500 = 0.\nAnswer: -9, 250\/9, 103","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/2296 and -4\/373387.\nAnswer: 2987096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 8006184653 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -56, -100, -132, -152?\nAnswer: -160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 + 40734\/651 - 10\/(-7)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/(-10)*(-20)\/32*4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 1 m when three letters picked without replacement from {m: 3, y: 3, j: 1, o: 7}.\nAnswer: 9\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 4) in base 16?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*o**2\/15 - 1086*o - 610356\/5 = 0. What is o?\nAnswer: -8031, -114","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -f**2 - 2*f**2 + 6*f**2 + 2*f**2.\nAnswer: 5*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 66? (a) 2 (b) 366 (c) 0.004 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/24 and 228\/(-27) + 10\/45?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 6*y = -80. Let f = -0.2 + -0.8. Which is the smallest value? (a) 2 (b) y (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1343111504 + 394788?\nAnswer: -1342716716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24)\/(-1*sqrt(8)*4))**2*2 - (sqrt(396)\/(sqrt(192) + sqrt(12)))\/(sqrt(396)\/sqrt(4)).\nAnswer: -sqrt(3)\/15 + 3\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.44 + -0.06. Suppose 4*h = 2*d + 10, -2*h = 8*d - 3*d - 23. What is the nearest to -1\/2 in -0.3, h, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000015924 to seven decimal places.\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 16\/12 - (-2)\/3. Suppose c*n - 40 = -4*j, -3*j + 57 = 3*n - 0*n. What are the prime factors of n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 8*b**2 + 208*b + 3. Let o be i(-26). Solve o*t + 59 = 62 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 98.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12369?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-12)*16*(-2)\/24.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -k**2 + 65168 - 65179 + 2*k**3 - 26*k + 3*k**2 to f + t*k + g*k**2 + n*k**3 and give f.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*v + 53 = -1. Sort -2, -34, v in ascending order.\nAnswer: -34, v, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/29, -3, -4, -6 in ascending order.\nAnswer: -6, -4, -3, -2\/29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7637*j**3 - 46*j**2 - 6 + 15404*j**3 - 7536*j**3 wrt j.\nAnswer: 1386","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2415.4 and -6.9?\nAnswer: 16666.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13 - 1. Let r = -5 + o. Let l = -6.8 + r. Which is the smallest value? (a) 0 (b) l (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -119.032 and 26?\nAnswer: -3094.832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**3 + 10*c**2 + 9*c + 2. Let i be s(-9). What is the remainder when i*(3 + (-201)\/(-6)) is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 73cc6 (base 14) in base 6?\nAnswer: 5554434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1210144864 >= -1210144864?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/4*(5 - 3). Let z(p) = p**2 - p - 1. Let m be z(2). Sort -3, m, l in increasing order.\nAnswer: -3, l, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p + 274. Does 13 divide o(51)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75 = 4*q + 5*t, -124*q + 30 = -119*q + 2*t for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.3 - 0.2. Let n = 1.7 - o. Let y = n - 2.200047. What is y rounded to five dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 5 (b) 0.5 (c) -37.7 (d) 5\/8 (e) 1.1 (f) 2\/21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 516*u - 252 = 432 + 348 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:25 AM and 9:44 PM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**3 - f**2 - f. Let p(k) = -55*k - 11*k - 4*k**2 + 71*k + 8*k**3 - 11*k**3. Calculate -p(c) - 5*r(c).\nAnswer: -2*c**3 + 9*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1*(-3)\/((-3)\/14) is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*a + 1173 - 443 = -698 for a.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 263287.\nAnswer: 263287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -72*r**2 - 76*r**2 + r + 149*r**2. Let i(y) = y + 2. Determine i(f) + j(f).\nAnswer: f**2 + 2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (1 + -2 - -3) + (-2)\/(-2) and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 25 = -a, 5*a = -5*l + l + 5. Let j = l + 55. Suppose -108 = 1733*g - 1739*g. What is the remainder when j is divided by g?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*h = -2*h + 2*h + 42*h - 1050 for h.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1707325\/6 + -284554. Let o = 239\/3 - 79. Which is the closest to -1\/7? (a) o (b) 3\/2 (c) -2 (d) k\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(19) - (1*sqrt(2299))**2) + (sqrt(1539) - (sqrt(1539) + -3*sqrt(1539)) - sqrt(1539)))*-5.\nAnswer: -95*sqrt(19) + 11495","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 0, -10, -36, -84, -160, -270, -420?\nAnswer: -616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (23 - 26) + (4 - -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/10, -30, 1, -4, 3\/5 in decreasing order.\nAnswer: 1, 3\/5, 1\/10, -4, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3606 + -1474. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**(-1\/2))\/(f\/(f**2\/f)))\/(f**(-2\/7)*f**3)*((f\/f**1*f)\/f)\/(f\/(f**(2\/3)\/f))*f**(-4\/7)*f*f**(-5) assuming f is positive.\nAnswer: f**(-299\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**3 - 8*f**2 - f - 350. Let s be i(11). Let l = -13 + 18. Solve d = 2*d - l*j + 21, -s*d + 18 = 5*j for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2223 is divided by 187?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 82\/1783 or 0?\nAnswer: 82\/1783","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 5*t**2 - 1091840*t + 59605729280 = 0.\nAnswer: 109184","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -37 - -61. Let p be 174\/(-56) + u\/(-32). Let z = p + 4. Which is the second biggest value? (a) -3\/5 (b) z (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i\/(i*i**(-8))*(((i**18*i)\/i)\/i)\/i*i*i)\/((i\/i**(-5\/6))\/i*i*i*i\/(i*i**(2\/41)\/i)))**20 assuming i is positive.\nAnswer: i**(57110\/123)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10872, -14630, -40132?\nAnswer: -65634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 288 + -240. Calculate the common denominator of (g\/(-21))\/(-8) + 1011\/1092 and 103\/36.\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*c*o**4 + 41561*c*o**3 + 12179*c*o**2 - 15*c wrt o.\nAnswer: -96*c*o + 249366*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101000000010111 - -10011010000?\nAnswer: -1100101101000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 3, b: 2, z: 4, v: 3, n: 4, u: 4}. What is prob of picking 1 v, 1 n, and 1 z?\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4.36 + -3.36. Let d = 0.3 - 1.3. Let x = -1.1 - d. Which is the closest to x? (a) 0.4 (b) i (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/6*(-108)\/144.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l\/(l*l**(-10)*l)*(l**14\/l)\/l*l*(l*l**(-13)*l)\/l*l*l\/(l\/l**(-14\/9)*l) assuming l is positive.\nAnswer: l**(76\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 172\/(-2666) + 3432\/341.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4477 and 363?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 4*t = -2*n, -3*n - 2 = -2*t. Let x be (1 + -7)*n\/6. What is the common denominator of (-39)\/22 + -4 + x and 117\/14?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - -737.\nAnswer: 736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*r = 7*r. Suppose -n + 5*y - 18 = r, -4*n + 4*y - 12 = -4. Solve 0 = 4*o + 18 + n for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 16*q + 8723400 = 20*q, 5*q = 4*p + 17446800. Round p to the nearest 10000.\nAnswer: -4360000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - -1 - (1 - (4 - 6))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*n + 2*n + 20. Suppose -i + n*i = 4. Let w be (-22)\/(-8) + 1\/4. Calculate the highest common divisor of w and i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-41)\/((-7380)\/8)*-10?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-3)*18\/(-84) + 14620\/(-20468)\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p**2 + 2*p**2 + 0*p**2)*(3*p**2 - 4*p**2 + 1 - 2).\nAnswer: -p**4 - p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.09 (b) 1960\/9 (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*v**2 - 3380*v + 101384.\nAnswer: -4*(v - 29)*(v + 874)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 5 - 1)*(-5*m - 3*m + 2*m + (-5 + 8 + 4)*(1 - 1 + 2*m)).\nAnswer: -32*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10506001?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4 - (48\/18 + 1))*0. Let d(c) = -c**2 - c + 8. Give d(m).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -4330, -4355, -4380, -4405?\n\"Answer: -25*d - 4305","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(11) + -2) + (sqrt(110)*2 + sqrt(110))\/sqrt(10) + 4*(sqrt(11) + 3*1*sqrt(11) + -4))*-4.\nAnswer: -80*sqrt(11) + 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 16538, 33071, 49602, 66131, 82658, 99183?\n\"Answer: -v**2 + 16536*v + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 40 and 70?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -112562, -224716, -336056, -446174, -554662, -661112, -765116?\nAnswer: -866266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9594, -482, -1 in increasing order.\nAnswer: -9594, -482, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 54*s**2 + 427488*s - 16*s**2 - 427380*s as k*s**2 + o + b*s and give b.\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**2 - 18*m + 6. Let c(k) = -3*k**2 - 51*k + 17. Let q(z) = 6*c(z) - 17*o(z). Let l(h) = -356*h**2. Calculate q(l(j)).\nAnswer: -126736*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 1)*(5 - 5 + 8)*(0 + 11*w + 7 - 5)*(-w - 4*w + 0*w).\nAnswer: 440*w**2 + 80*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 2949*s**4 - 7*s**3 + 384*s + 14. Let o(m) = 983*m**4 - 2*m**3 + 128*m + 4. Let r(g) = -14*o(g) + 4*t(g). What is the second derivative of r(b) wrt b?\nAnswer: -23592*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -4*j + 1068. Let c(b) = b + 4. Determine 3*c(m) + z(m).\nAnswer: -m + 1080","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 + -9 - -11) + (-1 - (-11 + -2)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1145 is divided by 569?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes before 5:31 AM?\nAnswer: 8:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-10)\/(-15) - 129\/(-9). Calculate the remainder when 22 is divided by (-18)\/8*(-40)\/b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 672, 2686, 5908, 10236, 15568?\nAnswer: 21802","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12.42 - 2.12. Let o = -14.7 + 8.5. Let n = o + u. Round n to 0 dps.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(637) + 4*sqrt(637))**2 + sqrt(13) + 1.\nAnswer: sqrt(13) + 15926","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -210*y**4 + 37*y**5 - 63*y**2 - 5*y + 13*y**4 - 34*y**5 - 59*y + 321*y**3 = 0. Calculate y.\nAnswer: -1\/3, 0, 1, 64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10281164623 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23, -45, -67, -89, -111?\nAnswer: -133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -6 + (32 - 35) + -1\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 9*r - 11. Let w(g) = -17*g + 24. What is 7*n(q) + 3*w(q)?\nAnswer: 12*q - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*j**2 - 2*j**2 + 0*j**2)*(-4*j + 3*j + 3*j)*(0 - 3 + 6)*(4*j - 3*j + 5*j) to the form d + p*j**3 + h*j + o*j**4 + r*j**2 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**2 - 6*c + 3. Suppose -2*i - 4 + 16 = 0. Let z be j(i). Factor 3*h**5 + 0*h**z + 3*h**3 - 2*h**3 + 4*h**4.\nAnswer: h**3*(h + 1)*(3*h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -10*(12\/(-5) - -2). Let w be i\/14 + (-66)\/(-14). Find the third derivative of -h**2 - h**w + 0*h**5 + 2*h**2 wrt h.\nAnswer: -60*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-5 + sqrt(180)\/sqrt(10) + 5) + (2*sqrt(392) - sqrt(392) - sqrt(392))\/(sqrt(20)\/(-2*sqrt(5)) - sqrt(4)).\nAnswer: 9*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-252)\/(-24))\/(2\/(-4)). Let c be (-2)\/(-8) + f\/(-12). Factor 0 - 1\/2*s**3 + 0*s**c + 0*s.\nAnswer: -s**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 + adb?\nAnswer: ade","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w - 25394 + 25400 = -2*o, 0 = 4*o + 5*w + 48 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -94 divided by -306?\nAnswer: 47\/153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 + 0 - 3) + 4 + 12 + -4.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:35 PM and 6:16 PM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.170982295 to 5 decimal places.\nAnswer: -0.17098","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 1 = -d, f - 2 = -4*d - 20. Let x = -9 + 12. Suppose 4*l = -3*w + l + 21, -x*w + l + 1 = 0. Solve 5*o - 7 = 3*i, -w*i = 5*o - f - 10 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 9994*i**3 - 8416*i**2 - 4208*i - 2104. Let j(y) = -2*y**3 + 4*y**2 + 2*y + 1. Determine -g(n) - 2104*j(n).\nAnswer: -5786*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 17*b + 161. What is the remainder when 372 is divided by v(-8)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z - 20. Let y be j(20). Suppose y = 3*k + 3*g - 72, k = -4*g + 46 - 10. Is k a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r + 4. Let l(b) = -2*b + 13. Let j be l(-7). Let q be (-8)\/(-36) + 399\/j. Suppose 0 = -16*a + 19*a + q. Give o(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w - 2*t = 43, -83 = -3*w - 5*t - 51 for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 879 + 1001. List the prime factors of h.\nAnswer: 2, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 72926207 to the power of 1\/3, to the nearest integer?\nAnswer: 418","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 24*c - 7. Let u(j) = -18*j**2. What is f(u(h))?\nAnswer: -432*h**2 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.6 and 114700274358035?\nAnswer: 114700274358034.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 4*r + 589, 10*s - 561 = 7*s - 3*r. Calculate the remainder when s is divided by 50.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -72*b - 24. Let l be m(-9). Let p = -290 + l. Suppose 4*i - p = -3*s, 0 = -5*s - i + 367 + 167. What are the prime factors of s?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 210677, 210960, 211243, 211526, 211809, 212092?\nAnswer: 212375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/(-2) - (-5)\/(-10). Let f be 3\/(-9) + 16\/(-6). Let g be 6\/((-3)\/(-6) + 1). Sort g, f, m in increasing order.\nAnswer: f, m, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 8\/36 - 22\/18. Sort 5, -5, k.\nAnswer: -5, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the first derivative of i**5\/40 + i**4\/8 - 4*i**3\/3 - 3. Let m(b) be the third derivative of j(b). What is the first derivative of m(f) wrt f?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*w - 7112 = 21238. Solve 0 = -87*i + 201 - w for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2090821.5798952 - 2090819. Let s = h + -2.58. Round s to 5 decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*u**(-12)*u*u\/u**10*u*u*u\/(u*u**(-2\/11))*u*((u*u**(1\/11))\/u)\/u assuming u is positive.\nAnswer: u**(-184\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -a - -43?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 + -5. Suppose w*t + t = 6. Solve a = 3*a - t for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 39 = -4*u. Suppose 3*o = -15, 3*o - 4 = 4*i - u. Sort i, -4, -1 in ascending order.\nAnswer: -4, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 19 = -5*m, 5*n + 3*m = -3 - 2. Suppose -n*v + l = -l + 10, 0 = -2*l. Let d(b) = -32*b + 4. Does 19 divide d(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -761*f**5*u**3 + 2*f**3*u**3 - 2*f*u**3 - 220*f wrt f.\nAnswer: -15220*f**3*u**3 + 12*f*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 45992 (base 13) in base 6?\nAnswer: 2415205","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(85)*4)\/sqrt(5))**2 + (sqrt(119) + sqrt(119) + sqrt(119) + 1*sqrt(119)*-3 + sqrt(119))\/sqrt(7).\nAnswer: sqrt(17) + 4352","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that o**5 + 4*o**4 - 19875*o**3 - 39758*o**2 - 19880*o = 0.\nAnswer: -142, -1, 0, 140","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -6*u + 4. Let b(z) = -z. Let g = -22 + 17. Let k(r) = -r**3 + r**2 + r + 1. Let y be k(0). Let d(o) = g*b(o) + y*f(o). Determine d(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*o - o + 11*o = -28, -4*c + 48 = -4*o for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the second derivative of -s**7\/14 + 9*s**6\/10 - 24*s**5\/5 + 14*s**4 - 24*s**3 + 24*s**2 - 3*s. Find l such that r(l) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.7 + 3.3. Let s = -157 + 157. Let y = -4.1 + 4. What is the nearest to y in i, s, -3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (22 - 26 - 21) + (-12 - -5)\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c + 2*z - 50, -45 - 50 = -5*c + z. What is the remainder when (-312)\/14*(-203)\/58 is divided by c?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -315, -629, -943, -1257, -1571?\nAnswer: -1885","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (((-1344)\/(-160))\/21)\/(-7)\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k**4 + 370900*k**3 - 14082980*k**2 - 296550720*k - 1281173760 = 0.\nAnswer: -8, 54, 74142","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/((560\/(-8))\/7)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 36 - 12. Suppose -124 = 2*p + s. Calculate the remainder when (-2)\/(-4 + (-292)\/p) is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 10*i**4\/17 - 142582*i**3 + 146895368346*i**2\/17 - 1674302868826*i\/17 + 646218043724\/17 = 0. What is i?\nAnswer: 2\/5, 11, 121189","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 7 = u, -5*n - 2 = 4*u - 1. What is the first derivative of n*v + 6 - 3*v + 2*v**2 + 2 wrt v?\nAnswer: 4*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 706.\nAnswer: 2, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3\/7 (b) 0.017 (c) -108344\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -9, -43, -99, -177, -277, -399, -543?\n\"Answer: -11*r**2 - r + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -39\/4885 and 2\/5?\nAnswer: 4885","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqcjcqqcqcqcqj. Give prob of sequence cq.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3622\/5 + -44189\/60. What is the common denominator of 658\/(-48)*(-2)\/(-14) and t?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1852727.\nAnswer: 1852727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**2 - 18*p + 68. Let k be u(-21). Solve 0 = -4*h - 4*i - 16, k*i = -2*h - 4 - 1 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18*f + f + 4*f)*(-9 + 12 + 7)*(f + 0 + 0).\nAnswer: -130*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (42*g**2 - 82*g**2 - g + 21*g**2)*((-3 - 2 + 3)*(-3 + 2 + 2) + 2 - 4 + 1).\nAnswer: 57*g**2 + 3*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 52\/10*20\/8. Let j = x - 14. Let r(g) = g - 1. Let n(z) = 12*z. Let k(p) = j*n(p) + 5*r(p). Find the first derivative of k(l) wrt l.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 753.\nAnswer: 3, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 285 - 280. Suppose 0 = 4*r + 4, -53 = g*n - 3*r + 64. Which is bigger: n or -27?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 398178?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 975.\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -383 divided by 1168\nAnswer: -383\/1168","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:34 PM and 2:14 AM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3 - 0)*((-1)\/3 + 0). Is 199\/(h\/1 + 2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 58407192?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 1, 0.5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2034775 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k - k - 1 = 4*d, -3*k = -4*d + 9. Let r = d - -23. Is 16 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 567\/30 - 4\/10 and 151\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3*-1*((-80)\/(-12) - 7)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 832*o**3 - o**2 - 2*o + 2. Is p(1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(1 + 1*(1 + -2*sqrt(1053)) + -3))**2.\nAnswer: 144*sqrt(13) + 16852","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 3708*r + 122406. Calculate g(-33).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-1)\/2 + 2)*(-18)\/(-27). Let t be 2*(-1)\/(17\/(-1)). What is the closest to 0.1 in s, -1\/3, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 115\/1944 and 20\/39.\nAnswer: 25272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 23087*n**3 + 78*n**2 + 42*n?\nAnswer: 138522","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/6*-9*(-11)\/(-264)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -4*n + 6. Let k(x) = 4 + 0 + 4*x - 8*x. Determine k(n).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8286, 7154, 6038, 4938?\nAnswer: 3854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 414*u + 54759. Give k(-134).\nAnswer: -717","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the first derivative of -5*l**2\/2 + 90. Let g(v) = -1190*v. Let u(k) = -70*k. Let m(q) = 3*g(q) - 50*u(q). Determine -85*h(w) + 6*m(w).\nAnswer: 5*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 408?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 616*j - 581*j = 1294965. What is the thousands digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1*0\/(4 - 3). Is 0 at least as big as i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 432 and 64?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -10*j - 8. Calculate the remainder when 83 is divided by o(-3).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 6 = -58. Let b = 41.21 + -41.51. What is the second biggest value in b, -3, i?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -b*k**3*l*p - 7*b*k**3*p**2 - 2*b*k**2 + 2*b*k*l*p**2 - 3*k**2*l - 4*k*l*p**2 - 2*l*p + 10*p wrt p?\nAnswer: -14*b*k**3 + 4*b*k*l - 8*k*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 117954887 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -77110550*l**2*q**3 - 95*l**2*q**2 + 2*l**2*q + 1905*l**2 - 5*l*q**2 + 2*l*q - l wrt q?\nAnswer: -462663300*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -205965068 + 2.3?\nAnswer: -205965065.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(18)\/(sqrt(6) - sqrt(54)*-6) + 4 + (sqrt(27) - (sqrt(432))**2).\nAnswer: -428 + 58*sqrt(3)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4559*o - 15 = -r + 4564*o, 5*o - 1 + 2 = -19 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4109 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 388 - 403 = -15*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 2*m + 2. Let l be k(-6). Let g = l - -11. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -17 - -13. Suppose -2*l = 5*c - 5, -3*l - 3 = l - 3*c. Suppose l = 4*x - 1 - 19. Sort x, 4, v.\nAnswer: v, 4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*h - 4*l - 26, 2*l = -3*h + l + 11 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 5*g - 9 = 0, -u + 0*u + 5*g = -49. Let h = u - 13. Solve -f + 4 = -q + 2, 0 = -3*f - 2*q + h for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*c - 4*c - 5*j - 268 + 255, 0 = 5*j + 15 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 1177412 to the nearest 10000.\nAnswer: 1180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1212981*l**2*t*x**2 + 5*l**2*t*x + 203818*l**2*x - t*x wrt x?\nAnswer: -2425962*l**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes before 4:37 PM?\nAnswer: 2:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1599, -3208, -4817, -6426, -8035?\nAnswer: -9644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 544*m**2 - 70*m + 210. Is s(3) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -114 by -3.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2101062?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*s + 28*s + 16 = 0. Suppose -12 = -10*d + 6*d. Suppose d*u - 35 = -5*m, 3*u = 2*u - 3*m + 17. Solve g - u*g + s = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.33 + -0.67. Which is the closest to -1? (a) 0.4 (b) 1\/4 (c) s (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c + 29 + 61. Let x = c + 39. Let m be 2\/4*2*7. Calculate the highest common divisor of m and x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -27 + 24. Let j = -9 + 5. Let x(g) be the first derivative of 2*g**3 - 3*g**2\/2 + 1. Let r(a) = -5*a**2 + 2*a. What is c*x(o) + j*r(o)?\nAnswer: 2*o**2 + o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -180.29 + 194.8. What is the second smallest value in i, 4, -1\/4, -5\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(36)\/sqrt(2) + sqrt(18))\/sqrt(6) + -5.\nAnswer: -5 + 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 4318*f + 1869727. Give m(-433).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3290 - 136*g - 3290)*(2*g - 5*g + 2*g).\nAnswer: 136*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 3*h**3 + 3*h**2 - 2*h. Determine d(2).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 173609304 and 102?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -27 - -28. Is 905 + (1 - y\/(-1)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o + 4*o - 5*o)*((-2 - 1 + 4)*(-3*o + 2*o + 0*o) + (-4*o + 3*o - o)*(2 - 1 - 2) + (-1 + 0 - 2)*(4*o - o - o)).\nAnswer: 20*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**3 + 12*s**2 + 3*s - 31. Let r(l) = 20*l - 4. Calculate the least common multiple of r(4) and o(12).\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 2*(-1 + sqrt(1872) - sqrt(1872)) + 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/((-10)\/(-3))*30\/6?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*v**4 + 0*v**4 + 2*v**4)*(8 + 1 + 1).\nAnswer: 60*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21, 11, 1?\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27 (base 13) to base 12.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 - -2. Let y = 2 - o. Let l = -3.4 + y. What is the closest to 1 in l, -1\/2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2)*(d\/(d*d**(4\/3)))\/d*d*d)\/(((d\/d**(-5))\/d*d)\/d**(-1\/5))*(d**(1\/2))**(-10)*(d**(-2\/23)\/d)\/d**(-1) assuming d is positive.\nAnswer: d**(-4699\/345)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -249781.\nAnswer: -5\/249781","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 47093783?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*b - 5*b + 10. Factor -2\/11 - 8\/11*q**b - 10\/11*q.\nAnswer: -2*(q + 1)*(4*q + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 21*b - 1916. Let p be s(92). Solve x - 11*a = -p*a - 15, 0 = 2*x - 5*a for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -118, -469, -1054, -1873, -2926, -4213?\n\"Answer: -117*f**2 - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 1523, -15508, -8 in increasing order.\nAnswer: -15508, -8, 1523","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -113*c = -103*c - 22550. What are the prime factors of c?\nAnswer: 5, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/14 + (-96)\/7. Let n = -9 - j. Suppose 0 = n*u + 3*i - 5, 4*u - i + 9 = -6*i. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/93)\/((58 + -68 + 8)*15\/12)?\nAnswer: -2\/93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 6 = 0, 5*h + 4*r - 118 + 35 = 0. Suppose 2*i - i = h. Let z be (-12)\/(-30)*(i + 0). What is the highest common factor of 30 and z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*i + 26*i + 6*i + 2*i - 2*i - 2*i + 3*i + 0*i - 4*i + (-4*i + 4*i + 2*i)*(4 - 3 + 1))*(9*i + 7*i - 8*i)*(3 + 2 - 4).\nAnswer: 200*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9*s**2 - 40*s**2 - 20*s**4 + 20*s**2 wrt s.\nAnswer: -480*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 - 0. Suppose -5*w + 12 = -o, h*w - 13 = o - 4. Let i(n) = o*n + 1 + 23*n**2 - 24*n**2 + 0 + 0. What is i(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -159 minus -0.979?\nAnswer: -158.021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7 - 7 - 5*g**2)*(-2 + 3 + 2)*(4*g**2 + 0*g**2 - 3*g**2) to the form q*g**4 + o*g + k + p*g**2 + m*g**3 and give q.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 90440?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 17*o**3 - 3*o**2 - 8*o - 4. Let y be s(-2). What is the tens digit of (-10978)\/(-34) + (-16)\/y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -5*r. Let n(d) = 15364*d + 7. Calculate n(u(c)).\nAnswer: -76820*c + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 2a3f8 (base 16) to base 13\nAnswer: 609c5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6363.3572 - -6111.357606. Let i = -252 - j. Round i to 4 decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, q: 1, n: 1}. Give prob of picking 1 n and 2 q.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = 4*l - 28, 3*q + 2 + 7 = 3*l. Differentiate 7*v**2 - 2*v + l + 5*v - 3*v wrt v.\nAnswer: 14*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w - 27 = -9. Suppose 2*b - 2*f = -2, 0 = 2*b - 0*b - w*f + 5. Solve -l - 12 = 3*x, 3*x + 0*l - b*l + 12 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13963 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes after 6:20 PM?\nAnswer: 5:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -3*x**3\/2 - 134*x**2 + 9739*x\/2 + 1638 = 0?\nAnswer: -117, -1\/3, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 greater than -0.036?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*p = 66*p - 11292. Let u = p + -548. List the prime factors of u.\nAnswer: 2, 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-2*3\/12). Solve 1 = -5*s - 2*x - 1, -s + n*x = -4 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1, 26, -0.3, -3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**2 + 3*y + 4. Let q be (2\/(-3))\/((-6)\/(-27)). Let n be b(q). Solve -n*f + 18 = 6 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 325337273 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -48*c**3 - c - 30*c**3 - 2 - 147*c**3 to a + q*c + l*c**3 + p*c**2 and give l.\nAnswer: -225","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 215*h - 214*h + 5*v - 115, -88 = -4*v for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 4*u - 2*u - 5*u - 4*u + 9*u. Let w(i) = 402*i**2. Calculate w(x(d)).\nAnswer: 1608*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -22212697*z. Let q(d) = -d**2. Calculate q(p(k)).\nAnswer: -493403908013809*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**2 + 5*i - 5. Let o be m(-6). Sort -2, o, -3 in descending order.\nAnswer: o, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -18, -3, -74 in ascending order.\nAnswer: -74, -18, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6848 and 36528.\nAnswer: 15633984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 42*b**5*h**2 - 813*b**5*h - b**2*h**2 + b**2 + 3*h**2 - 4363*h wrt b.\nAnswer: 2520*b**2*h**2 - 48780*b**2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:22 AM and 2:29 PM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = 12*v - 7*v. Suppose -32 = -4*o + v*o. Let f(a) = -2*a**4 - 5*a**2 - 2. Let l(m) = 3*m**4 + 6*m**2 + 3. Let i(s) = o*f(s) - 3*l(s). Factor i(b).\nAnswer: -(b - 1)**2*(b + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94 is divided by 39?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 74*g. Let t(h) = -4*h**2 + h**2 + 3*h**2 - h**2 + 0*h**2. Determine t(w(j)).\nAnswer: -5476*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 5*f + 4*x - 2*x, 0 = f + 4*x + 14. Solve s - f*s + 25 = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 863, 1706, 2521, 3302, 4043, 4738, 5381, 5966?\n\"Answer: -s**3 - 8*s**2 + 874*s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 291730 = -73260. Let d be g\/(-56) + (-1)\/(-4). What is d rounded to the nearest 100?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*v**3 - 2306*v**2 + 4596*v**2 - 2291*v**2.\nAnswer: -2*v**3 - v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 4*d = -y - 242, 0 = y - 2*d + 54. Which is bigger: y or -51?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 845*f*j**2 + 5*j**2 - 18 wrt f?\nAnswer: 845*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 8\/25 of a litre?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 154*k + 651 = 35 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**1)**(-15)*o**0*o*(o\/((o**(2\/3)\/o)\/o))\/o)**44 assuming o is positive.\nAnswer: o**(-3652\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -157 + 5?\nAnswer: -152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**2 + 14*c + 46. Let v be d(-6). Let w be 1 + v\/(-4) - (-3490)\/(-20). Which is smaller: w or -174?\nAnswer: -174","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -2*x + 1. Let q be o(-1). Suppose 4 = a + 4*b, 3*b = 4*a - 2*a + q. Solve 2\/7*t**2 + a*t - 2\/7 = 0 for t.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 114678 * 5\nAnswer: 573390","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 601 - 1470. Let t = s + 1272. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -m**3 + 8 - 2*m**2 - 336*m + 336*m as a*m**2 + l + y*m**3 + k*m and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000276229719 rounded to 7 dps?\nAnswer: 0.0000276","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0\/(((-60)\/75)\/((-2)\/(-5)))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 2\/1829?\nAnswer: 2\/1829","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the third derivative of -3*i**7\/70 - 11*i**6\/120 + i**4\/6 - 4*i**3\/3 + 103*i**2 - i. What is the second derivative of s(f) wrt f?\nAnswer: -108*f**2 - 66*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 + 12. Let f = 75\/2 - 38. Let n(u) = -u**3 + 6*u**2 - u + 7. Let m be n(6). Which is the nearest to f? (a) m (b) -4 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 556 is divided by 20?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -3, -0.1, -1420 in descending order.\nAnswer: -0.1, -3, -7, -1420","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12 + -11. Suppose 0 = -5*h - 301 + z. Let y = -30 - h. Is y a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 2*m = 263, 2*t + 3*m = -2*t - 328. Let q = 148 + t. What are the prime factors of q?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 1 - z + 21*z**3 - 2.\nAnswer: 21*z**3 - z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4194 and 6?\nAnswer: 4194","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes after 1:03 PM?\nAnswer: 11:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 32850926?\nAnswer: -3\/32850926","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 4*u = -7808, 2*g + 3*g = -2*u - 9746. Round g to the nearest one hundred.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes before 12:44 PM?\nAnswer: 6:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:22 PM and 6:00 PM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -2303214 (base 6) to base 16\nAnswer: -1ca7a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0332038*0.14.\nAnswer: 0.004648532","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -8, 9, 0, 8.\nAnswer: -8, -4, 0, 8, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 1176?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2.42 (b) -8\/19 (c) 2224 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 (base 9) in base 11?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from adaaaamaaamamaaaaaaa. Give prob of sequence dm.\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m + 13. Let t be d(-10). Suppose t*w = -w + 32. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -1961*v**2 - 12853*v + 25702. Calculate t(2).\nAnswer: -7848","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**3 + i**2 - 4. Let j = 39 - 34. Suppose 0 = 3*d, 0 = z - 4*z + j*d. Determine s(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -7*o + 5*w + 10, 2*o - 8 = 2*w. Suppose r - 2*x + 7 = x, 4*x = -3*r - 8. Let a = 4 + r. Solve 0 = 3*d - o*t - 5, 4*t + 16 = a for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1507 is divided by 168.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -46 - -47. Let a be (1*24 - -1)\/1. Suppose 0 = 2*w - a + v. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (896\/384)\/(35\/2).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 31, -142, -427, -824, -1333, -1954?\n\"Answer: -56*z**2 - 5*z + 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/3, -0.2, -0.08, 1525, 0.1.\nAnswer: -0.2, -0.08, 0.1, 4\/3, 1525","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 26393384 divided by 13196692\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**2 - 5*v - 3. Let l be n(-6). Let m = 12 - l. Calculate the remainder when m is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 95 = 5*y - 4*q, -3*q = -4*y + 79. Suppose -4*t + 5*c + 19 = -14, 0 = 2*t - 2*c - y. Find the first derivative of -t - p + 11 - p wrt p.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 33 = 3. Let q = 5 - a. Let n = 10 + q. Solve c + i - 2 = 0, -c + n*i + 5*i = 28 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = 134*l - 140*l + 52203, 0 = 5*l + 3*c - 43481. What are the prime factors of l?\nAnswer: 2, 4349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*i - 36*i - 2 - 48*i**2 + 2 - 35*i + 98*i.\nAnswer: -48*i**2 - 4*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5836 and 1459.\nAnswer: 5836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -6*o + 7*o**3 - 1370 + 5*o**2 + 1370. Let h(f) = 6*f**3 + 6*f**2 - 5*f. Calculate 6*h(v) - 5*s(v).\nAnswer: v**3 + 11*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**2 + 1. Let z(w) = 354*w**2 - 13*w - 15. Let t(j) = 6*y(j) + z(j). Let q be 13*1\/(-1)*1. Let u be t(q). Round u to the nearest 10000.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 46458, 46459, 46460, 46461?\n\"Answer: x + 46457","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 5*k - 0*k, 0 = 4*n - 5*k + 43. Let y(i) = -i**3 - 8*i**2 - 8*i - 7. Let o be y(n). Suppose -5*j + o*j + 5 = 0. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-2))\/(1\/12*-3)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/7 in 2\/7, 1\/3, 4, -34, 35?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*b + 2966 - 3011 = 0. Let v(p) = 19*p - 20*p - 1 + 5*p. Determine v(b).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-2))**(3\/4)\/(a*a**(5\/3)*a*a**12) assuming a is positive.\nAnswer: a**(-103\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3673.276 nanometers?\nAnswer: 0.003673276","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 24\/35640*-54*((-5)\/4)\/((-21)\/12)?\nAnswer: -2\/77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes before 5:14 PM?\nAnswer: 9:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -46.94 + 49. Let i = 0.06 - v. Let l = 1 + i. Which is bigger: -4 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11 + 24. Let k = t + -24.8. Let g = 12 + k. What is the closest to -2\/3 in g, -4\/7, -3?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - g**4 + 0 + (-1 + 1 - 2*g**4)*(-1 - 3 + 2) + g**4 - g + g + 17*g**4 - 102*g**4 + 3*g**4 in the form i + x*g + q*g**3 + u*g**2 + r*g**4 and give r.\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -0.12 (b) 0.04 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10 - -16. Let d be (-7 - -18) + -2*1. What is the highest common factor of w and d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -318621 + 148*x**3 + x + 318621 + 16*x**3 + 8*x**2 - x**2.\nAnswer: 164*x**3 + 7*x**2 + x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-9)\/(9\/(-10)))\/((14 - 2)\/6). Sort -5, 1, 4, n, 289 in decreasing order.\nAnswer: 289, n, 4, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 623 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (-2 + (7 - 16) - -33).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/5 (b) 3\/44 (c) 7\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-4))\/((2\/42)\/((4350\/10353)\/50)).\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.8 - 0.8. Let n = 3 + -7. Let j be ((6\/(-345))\/1)\/((-93)\/465). Which is the biggest value? (a) l (b) j (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 12*o + 1 + 28*o.\nAnswer: 16*o + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 48 + -32. Is 12 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -3*j. Let r(i) = -16*i + 20. Let w(h) = 47*h - 57. Let f(o) = -17*r(o) - 6*w(o). What is f(y(g))?\nAnswer: 30*g + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and -50?\nAnswer: 250","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, z: 5, e: 4}. Give prob of picking 2 e.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 11\/8 of a hour?\nAnswer: 4950","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:48 AM and 10:43 AM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes after 8:38 PM?\nAnswer: 1:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*n + 35*n - 13*n)*(0*n - n + 0*n + (3 - 3 + 2)*(1 - n - 1) - 3*n - n + 0*n) + 3*n**2 - 4*n + 2*n - 12*n**2.\nAnswer: -72*n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-5)\/o**(7\/5))\/(o**(-1)\/o**11))**42 assuming o is positive.\nAnswer: o**(1176\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 328 and 1.15.\nAnswer: 377.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 128 is divided by 83.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 76*y**2 + 83*y**2 - 3*y + 2*y + 81*y**2 + 114*y**2 - 363*y**2.\nAnswer: -9*y**2 - y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 367 - 357. Solve -f*o + 6*o = -4 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2269 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 - -1. Suppose -c - 2*l - l = -13, -c - r = -2*l. Calculate the remainder when 11 is divided by c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -5*i + 4*i + 1 + 8*i. Let g be (-4)\/(-22) + (-60)\/(-33). Let v(p) = -3*p. What is g*w(j) + 5*v(j)?\nAnswer: -j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**2\/3 - 671333*n\/3 - 1342654.\nAnswer: -(n + 6)*(n + 671327)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 6 = 12. Suppose -4*a + 1 = -5*x - 2, 18 = -p*x - 3*a. Let c(s) = -s - 1. Let u be c(x). Solve 9 = -3*d, -5*k = -u*d - d - 4 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 8*j = 0. Which is smaller: j or 2\/43?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m - 4*m - 3 = 0. Let p(b) = 2 - 9 + m - 19*b - 6. What is the remainder when 77 is divided by p(-2)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 51693 to the nearest integer?\nAnswer: 227","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -865 (base 9) to base 5.\nAnswer: -10312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven halves of a kilogram in grams?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 2 b when three letters picked without replacement from mqbmqqpdbzbqqbd?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -902398*g**3 + 7*g**2 + 10329*g + 4 wrt g.\nAnswer: -5414388","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8620*n + 81143 - 40573 - 40570 to l*n + a and give l.\nAnswer: -8620","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 428 + -4720\/11. Find the common denominator of 6\/(108\/(-174))*9\/(-10) and g.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 - (-7 + 20 + -2 + -4 - -1)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the first derivative of -10*t**2 - 4\/3*t**3 + 56*t + 51. Determine f, given that g(f) = 0.\nAnswer: -7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1723 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**3 - 176*r**2 - 1118*r + 1296.\nAnswer: -2*(r - 1)*(r + 8)*(r + 81)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -88, -748, -2526, -5980, -11668, -20148, -31978, -47716?\nAnswer: -67920","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 105120, 840950, 2838190, 6727542, 13139708, 22705390, 36055290, 53820110?\n\"Answer: 105117*k**3 + 3*k**2 + 2*k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -2*p**2 - 19*p + 24. Let h be q(-12). Let c(o) = o + 10. Let i be c(-7). Let v be (-3)\/(h\/52)*i. Sort 0, v, -4 in descending order.\nAnswer: v, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 48*g**2 + 2*g + 4. Let n be w(-2). Suppose -n - 28 = -5*u. Find the common denominator of -71\/4 and (59\/3)\/(u\/(-6)).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d - d - d)*(3*d**2 + 1 - 1) + d**3 + 0*d**3 + 2*d**3 + (-3 + 3 - 2*d)*(d**2 + 14*d**2 + d**2).\nAnswer: -26*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -59591 + 715121\/12. Let 0 - 1\/2*k**2 - 3\/4*k**4 + 0*k + q*k**3 = 0. Calculate k.\nAnswer: 0, 2\/9, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -266 greater than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbfcfbfccfsb. What is prob of picking 2 b?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -5641, -5657, -5673, -5689?\n\"Answer: -16*n - 5625","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 289 - -2*(-12)\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 3*c**2 + 8*c**2 + c**2 + 7*c**2. Let h(q) = -q. Determine f(h(g)).\nAnswer: 19*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -2*j. Let i be r(-1). Let f be i + 0 + -3 - -1. Let w be (-2 + 12)\/(4\/6). Solve f*a - w = -3*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, y: 6, u: 3, o: 7}. What is prob of sequence oouu?\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1235561 and -105366?\nAnswer: 1340927","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the first derivative of -7*x**2\/2 + x + 6. Let s be (-5)\/(5\/(-8)) - 3. Suppose f + 4 = s. Determine r(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/(2\/(-38))*(-68)\/34. Solve 7*k - q = -10 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 2*p**3 - 12*p**2 - 35*p + 28. Give d(8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 330?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes after 3:48 AM?\nAnswer: 12:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 844?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-12 - -10)\/(-3 - 1). Let j = -5 + 4.6. Let z = -3.891 + 3.491. Which is the closest to z? (a) j (b) -3 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 3 - 89 = 0. List the prime factors of m.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:41 PM and 1:21 AM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4\/7 + -19\/21. Let f = 5 + -6. Let m = -2 + f. Which is the closest to o? (a) -0.4 (b) 3\/8 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.3181 - 0.9401. What is z rounded to two decimal places?\nAnswer: -1.26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 97, -4073.\nAnswer: -4073, 6, 97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 114285 divided by 38095.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 6027510743 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 662.4549 millilitres in litres?\nAnswer: 0.6624549","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1636 + 1006. Is (27540\/h)\/((-6)\/28) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 3*o + 26 = 0, -5*h + 47 + 109 = 2*o. Let s be (-7922)\/8 + 8\/h. Is -4*(s\/8 - 4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 3, h: 5, o: 1}. What is prob of picking 2 u and 2 h?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*s**6 - 829521*s**5 - s**3 - 84222495*s**2?\nAnswer: -360*s**3 - 49771260*s**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 66049648 and 4704.\nAnswer: 784","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 2*s**2 + 4. Let c be o(6). Suppose 350*f = 241*f + 109. Calculate the highest common divisor of f and c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -103076 divided by 25769\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 43 - 53 = 5*a, -3*i = -5*a. What is the second biggest value in -0.4, 7\/16, -4, a?\nAnswer: 7\/16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z = -3*i - 13, 3*i = -4*z + 10 - 29 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**4 - 4*o**2 + 2*o - 4. Let g(p) = 5*p**2 - 2*p + 5. Let k(j) = -4*g(j) - 5*x(j). What is the second derivative of k(f) wrt f?\nAnswer: -60*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4 (b) -0.155 (c) 0.4 (d) 8\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 9) in base 13?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*w**2 - 6*w**2 + w**3)*(-7*w + 7*w + 7*w).\nAnswer: 7*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from {t: 13, v: 3, d: 1}?\nAnswer: 39\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9\/2 or 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (((sqrt(25) - -2*sqrt(25))*3)\/(sqrt(5) + sqrt(405) - sqrt(5)))**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 196 and 2842.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and 2.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 0*b = -4. Let h(q) = -q**3 + 4*q**2 - 2*q - 1. Let v(x) = x**3 - 5*x**2 + 3*x + 2. Give b*v(d) + 3*h(d).\nAnswer: -d**3 + 2*d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**2 + 11*u - 12. Let c(v) = -3*v - 15. Let i be c(-6). List the prime factors of m(i).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -30 + 18?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 3025402 (base 6) to base 7\nAnswer: 1136126","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1412 + -1370. Let s(z) = -z**3 + 41*z**2 + 41*z + 45. Let x be s(w). Suppose n - 5 = 6*n. Put 0, n, 5, x in descending order.\nAnswer: 5, x, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/34 + (-148502784)\/(-4352) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 4*t**2 - 13*t + 10. Let n be i(6). Suppose -2*c + 6*c = n. Suppose 5*g + c = -4*a - 1, a = -3*g - 5. Put 5, 2, g in decreasing order.\nAnswer: 5, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -710, 1038, 3934, 7966, 13122, 19390, 26758, 35214?\nAnswer: 44746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -30795?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tn when two letters picked without replacement from vetndttvt.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12*c**3*s + 1539*c**3 - 228*c**2*s - 16*c**2 - c*s + 5*c - s wrt c?\nAnswer: 72*s + 9234","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (42 - 27) + (-1 - (12 + -4)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 2*c**3 - 2*c**2 - 1. Let k be p(2). Suppose k*s = 2*s + 50. What is the greatest common divisor of s and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -359\/2 + 181. Let p = 164 - 313. Let s = p + 599\/4. Which is the third biggest value? (a) v (b) 1 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 26519 and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) 0.4 (b) 0.1 (c) 2 (d) -21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-19)\/152)\/((-5)\/4).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 91.8 - 82. Round m to zero dps.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-2))\/(((-5)\/4)\/5).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:12 AM and 1:15 PM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, d: 2, g: 1, m: 1, r: 2}. What is prob of picking 1 d and 1 g?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 16? (a) 2 (b) -1 (c) 5 (d) -4\/9 (e) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 68*l - 96. List the prime factors of m(21).\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 2138?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express h - 3*h**4 - 6*h**3 - 1 + 0*h**4 + 4*h**4 + 2*h**2 as i*h**3 + f*h**2 + w*h + x + j*h**4 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2033 + -2032.98701. What is n rounded to three dps?\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16 + -14. Find the third derivative of -o*s**2 + 7*s**2 + 10*s**3 - 19*s**3 wrt s.\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 852*y = 854*y. Let 2*l**2 - 1\/3*l + y = 0. What is l?\nAnswer: 0, 1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16 - -19. Suppose m - 33 = -z*d, -2*d - d + m = -33. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*n - 15*n = 3*x + 72, -2*x + 7*n = 48 for x.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1173?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f = b + 1, 31*f - 66*f + 40*f - 7 = -11*b for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (65\/26)\/(30\/27)*4\/3. Let r = 20 - 13. Let k = r + -2. What is the nearest to -2 in -1\/5, g, k?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.693? (a) 4\/9 (b) 1.8 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5.84 + 6. Let b = -0.2 + n. Let f = -0.0399997 - b. What is f rounded to seven dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-13))\/(378\/(-63)*(-2)\/12).\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + 8 - 16 - (-1 + 18).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 480 + -461. Suppose -j*r = -221 - 26. Solve r = 3*u + n - 1, -3*u - 2*n = -16 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 - ((-242)\/33)\/11*9?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4.49 - -4.19. Let r be (-9)\/9 + (2 + 2)*-1. What is the nearest to -2\/7 in r, 38, -2, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -69683, -139344, -209015, -278690, -348363?\n\"Answer: n**3 - 11*n**2 - 69635*n - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 12*w**2 - 3*w - 6. What is the units digit of h(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**3 + 8*i**2 + 9*i + 10. Let m be n(-7). Let b = 2 - m. Is b >= 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w - 3*a + 1, -w = -4*a + 7 + 1. Suppose -3*q - 3*f + 24 = 0, 14 = w*q - q + 5*f. List the prime factors of q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.9 (b) -7 (c) 170\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 325154813?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 686 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: Collect the terms in 29*i**2 + 9 - 10*i**2 - 29 + 20.\nAnswer: 19*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the second derivative of -n**3\/6 + n**2 - n. Let o(f) = -f**2 - 26*f - 97. Let c be o(-4). Let d be (-1)\/((72\/(-48))\/(c\/2)). What is t(d)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 445997 and 186?\nAnswer: 2675982","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -31.13 + 31. Is y <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 765 and 1980.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -370dc6 (base 14) in base 13?\nAnswer: -510062","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -9702268 at least as big as -9702282?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/6 in -1, 11\/7, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 6*w - 3*w - 2*w. Let x(z) = -z**2 + 10*z + 2. Let a be x(10). Let j(y) = -8*y**a + 31473*y - 31473*y. What is j(h(m))?\nAnswer: -8*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 16 + -2. Suppose 2*t - t + 4 = 0. Let k be t\/b - (-1236)\/14. Round k to the nearest 10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51627 is divided by 2864?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -19*p**3 + 4 + 896*p**2 - 186*p**3 - 464*p + 9*p**3 + 60.\nAnswer: -4*(p - 4)*(7*p - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4815, -2, 1 in increasing order.\nAnswer: -4815, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 2*t**3 + 8*t**2 + 5*t - 1. Let l be o(-3). Suppose 2*u - 36 = -l*u + n, -5*u - n = -45. Calculate the least common multiple of 6 and u.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 312*t. Let f(q) = 5*q**2 + 3*q - 3. Let v(s) = 6*s**2 + 4*s - 4. Let k(l) = -4*f(l) + 3*v(l). What is h(k(n))?\nAnswer: -624*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/1638120 and -13\/10846.\nAnswer: 47505480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1833 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b\/(b**5\/b)*b*b)\/b**(-4\/11))\/((b\/b**(-7)*b)\/(b**1*b)) assuming b is positive.\nAnswer: b**(-73\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -4\/38947667 and 23\/18802322.\nAnswer: 545267338","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1510, -1504, -1488, -1456, -1402, -1320?\nAnswer: -1204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3964021 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 445701564 to the nearest integer?\nAnswer: 21112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*((-119)\/28)\/17?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z**3\/2 - 369*z**2\/2 - 15129*z\/2 - 206763\/2 = 0.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 406, 373, 294, 151, -74?\n\"Answer: -3*i**3 - 5*i**2 + 3*i + 411","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -9*y**4 - 5*y**3 - 6*y**2 + 5*y + 166. Let g(a) = -4*a**4 - 2*a**3 - 3*a**2 + 2*a + 84. Let c(h) = 5*g(h) - 2*m(h). Differentiate c(j) wrt j.\nAnswer: -8*j**3 - 6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*-3*(sqrt(1300) + -1).\nAnswer: -30*sqrt(13) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3.97 + 0.03. Let v = 3 + u. Let z = 2 - v. What is the biggest value in -1, 3\/5, z?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6378 - 6374. What is the closest to 0 in -2, 39, b?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1441296.\nAnswer: 2, 3, 10009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/27*(-9)\/12?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 - -24?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -5*f - m, -3*f - 7*m = -2*m + 26. Let l = 29.62 + -25.62. What is the biggest value in f, 0, l, 1\/7?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(171)*1)**2.\nAnswer: -6*sqrt(19) + 172","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**3 + 1. Let q be i(1). Let t(b) = q*b + 3*b - 3*b - 2*b. Let n(l) = 9*l. Determine t(n(f)).\nAnswer: -18*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the second derivative of 0*z**3 - 3\/20*z**5 + 5*z**2 - 10*z + 0*z**4 + 0. What is the derivative of v(p) wrt p?\nAnswer: -9*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-3 + 3)\/((-12)\/(-4)))\/(-1). Let b be (6 - h)\/(-5 + (-51)\/(-9)). Solve 5*l - b = 6 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -462.7771222 to 1 decimal place.\nAnswer: -462.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -4*t + 898. List the prime factors of t.\nAnswer: 2, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pm when two letters picked without replacement from {p: 9, m: 10}?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -132, -275, -448, -651, -884, -1147?\nAnswer: -1440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 575 + -573. Which is the biggest value? (a) 1.4 (b) u (c) -2\/3 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -4 + 0 - p + 3. Let n be x(5). Let g(h) = h + 5. What is g(n)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from {a: 5, u: 2, r: 1, d: 1, l: 7}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the first derivative of o**4\/4 + o**3\/3 - o - 1589. Let d(v) = 2*v**3 + 4*v**2 + 18*v - 3. Calculate 3*b(q) - d(q).\nAnswer: q**3 - q**2 - 18*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(19) + (sqrt(19) - (2*sqrt(171) + sqrt(171))**2) - sqrt(19)) + sqrt(19))*5.\nAnswer: -7695 + 10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -858d80 (base 15) to base 12.\nAnswer: -21675b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12598?\nAnswer: 2, 6299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -424724472 < -424724471?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-14)\/(-4)*160\/56. Suppose -f = 5*m + 10, 4*m + m + 3*f + l = 0. Which is greater: -18\/7 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-24)\/2*1\/(-3). Let p = b - 2. What is the third derivative of -3*v**2 + 2*v**2 + 4*v**2 + p*v**5 wrt v?\nAnswer: 120*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.73? (a) -107\/7 (b) 2\/5 (c) -52 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**2 - 20*q + 17. What is the units digit of i(-19)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pvv when three letters picked without replacement from {q: 1, l: 3, p: 2, v: 5, z: 7}.\nAnswer: 5\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 136357723 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 ((-800)\/42)\/10*((-2821)\/186 + 14)?\nAnswer: 20\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (143956\/(-816))\/(-29)*12.\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 79*n - 23*n - 19*n - 35*n.\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -441, -381, -383, -477, -693?\nAnswer: -1061","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**2\/11 + 336844*x + 156012835462.\nAnswer: 2*(x + 926321)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.8 (b) 0.09 (c) -102.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*d + 17 + 18. Let o(g) = -2 + 0 + g**2 - g + 0*g**2. What is the smallest common multiple of o(d) and 8?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14 + -16. Let g(q) = q**2 + 3*q + 3. Determine g(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + a + 104 = 2*s, 8 = 4*a. Let k = 4153 - 4152. Sort -5, s, k in ascending order.\nAnswer: -5, k, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/(3\/35)*(-4)\/(-10). Suppose 0 = y + 4*o - 12, 0 = 4*y + o - 2*o - b. Solve y*q - 3*v = -13, -1 = q + 2*v - 5*v for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m = -4*t - 162, -t + 4979 = 2489 + 2492 for m.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1052080 divided by 4?\nAnswer: -263020","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1332, 2502, 3672, 4842, 6012, 7182?\n\"Answer: 1170*r + 162","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(204)\/(sqrt(108)*-2 + sqrt(108) - sqrt(12)) + 2 + -4 + sqrt(17)*1)**2.\nAnswer: -3*sqrt(17)\/2 + 169\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(-14)*(-147)\/(-210)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3520\/770)\/(-4*(-11)\/(-770))?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 188464?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 - -2202a5?\nAnswer: 2202aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15*13\/1300)\/(-3*(-6)\/(-16))?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*l**5 + 21*l**4 - 8*l**3 - 36*l**2 - 16*l = 0. What is l?\nAnswer: -2, -1, -2\/3, 0, 4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -k**2 + 2 - 2 + (-2*k - k + k)*(-2*k + 2*k - 2*k) + (-4*k**2 - 8 + 8 + (2*k + 0 + 0)*(-4*k + k + k) - k**2 + 3*k**2 + 0*k**2)*(3 - 3 + 2).\nAnswer: -9*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pk when two letters picked without replacement from {p: 3, r: 1, a: 5, k: 4}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1350 + 67*v**3 + 119*v**2 - 235*v**2 + 116*v**2 + 1350.\nAnswer: 67*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 139 + -129. Suppose -4*j + 5*t = -13 - 3, -4*j - 4*t + 16 = 0. Solve -j*h - 2 = -n for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 69 and 636065?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 13925589169 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*i + 3 = -4*o - 3*i - 42, 6*i = -5*o + 6 + 48 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -6\/7, 8\/5, -5, -1193\/2 in decreasing order.\nAnswer: 2, 8\/5, -6\/7, -5, -1193\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 111\/28 and 33\/475?\nAnswer: 13300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 9552*r + 2005930. Determine y(-210).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 508148637?\nAnswer: 3, 23, 1021, 7213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -46, -1\/60, -753, -5 in descending order.\nAnswer: -1\/60, -5, -46, -753","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -12 + 170?\nAnswer: 15c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 2*c + 58. What is d(-17)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6166, 6239, 6352, 6499, 6674, 6871?\nAnswer: 7084","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 27*i + 281. What is j(0)?\nAnswer: 281","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4\/(-6))\/(2\/(-36)). Suppose 2*j = -2*q + 16, -j + 7*q - 8 = 4*q. Calculate the highest common divisor of l and j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cmcsccab. Give prob of sequence as.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34141340 (base 5) to base 13.\nAnswer: a7a32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/2 (b) -0.2 (c) 49877 (d) 2\/5 (e) -1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/449125 and 77\/15.\nAnswer: 1347375","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 277*w - 10 + 32 - 1 + 2 + 36.\nAnswer: 277*w + 59","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: -64, -175, -464, -1021, -1936, -3299?\nAnswer: -5200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-66)\/(-11))\/18*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15109 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 j when two letters picked without replacement from qiviivj?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1158988.64328 - -67285.63952. Let y = t + 1091818. Let x = y + -115. What is x rounded to 4 dps?\nAnswer: -0.0038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 35*v**4 - 126 + 130 + 8*v**4 with respect to v.\nAnswer: 172*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39493 divided by 12954.\nAnswer: 39493\/12954","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 91673 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gsssggggssgggggssss. Give prob of sequence gg.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1102 or -1100?\nAnswer: -1102","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o + 5*x + 1, 3*x = o - 2. Let v be (87\/(-9))\/(o\/(-9)). Let h = v - -214. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 26\/12 + 3\/(-18). Suppose 0*z = z + 3. Let d = 12 - z. Solve -4*a - g*h = -24, -7*a + 5*h + d = -2*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 - -22. Let h = v - 16. What is the nearest to h in -2, 0.4, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in thirteen fifths of a microgram?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 1\/3, -0.14, -1\/6, 5\/2, 10, 0.3?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 35*w**2 - w - 8. Suppose 35 + 25 = -6*x. Let r(y) = -y**2 - 8*y + 18. Let t be r(x). Let g be z(t). What is g rounded to the nearest 10?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*g*n**2*r + g*n*r**2 + 1017*g*r + 3*g - 43*n**2 - 10*n*r**2 + 2 with respect to g.\nAnswer: 2*n**2*r + n*r**2 + 1017*r + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -17 divided by 4\nAnswer: -17\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -1\/4 (b) -6 (c) -8\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 413024?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1920, -3155, -4, 1\/2 in decreasing order.\nAnswer: 1\/2, -4, -1920, -3155","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p**2 + 3946*p + 39249600 = 0. Calculate p.\nAnswer: -3552, 5525","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -101211002 - 200?\nAnswer: -101211202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7381778?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 - 31 = -2*p. Let c = p - 9. Suppose -c = 3*u - 12. Solve -g = 4*q - 20, -3*q + u*g - 4 = -g for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) -1\/303 (c) -524\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -90 + 125. Does 11 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 41500?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 4 * 236555847\nAnswer: 946223388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 184026997?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) -1 (c) 9 (d) -0.3 (e) -0.128 (f) -1\/3 (g) 2\/197\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1449 is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 15) to base 16.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 138 - 77. Let i = 489\/8 - r. Which is the closest to 2? (a) -4\/7 (b) i (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-19*11\/209)\/((75\/2)\/(-3))?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 62780360 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.41 + -15.59. Let g be (-18)\/(-9)*3\/(-27). Put -0.3, g, r in descending order.\nAnswer: g, -0.3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18550 = -11*v + 73517. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -28*s - 10. Let n be o(-1). Suppose -2 = n*r - 19*r. Which is the second smallest value? (a) -2 (b) 0 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 406.1331l in millilitres?\nAnswer: 406133.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 - 2)*(-24)\/(-8). Let h be u + 1 + (-110)\/(-40). Find v, given that -1\/2*v**2 - h*v + 3\/4*v**4 - 1\/4 + 1\/2*v**3 + 1\/4*v**5 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the second derivative of 0*j**2 + 0*j**4 + 1\/3*j**3 + 0*j**5 - j + 1\/30*j**6 + 0. What is the second derivative of v(r) wrt r?\nAnswer: 12*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.05 - -0.05. Let l = -1.308 + 120.008. Let t = 119 - l. Put 2\/33, s, -0.5, t in ascending order.\nAnswer: -0.5, s, 2\/33, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/48 and -25\/6048.\nAnswer: 6048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*j**4 - 2*j**3 - 2 - 160*j - 2*j**2 + 15*j**3 - 9*j**3 - 11*j**3 to a*j + o*j**4 + l*j**3 + f + s*j**2 and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 88 = 2*l - 2, -22 = -2*b + 2*l. Suppose 3*j + 6 = -6. Let n = b + j. What are the prime factors of n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddb when three letters picked without replacement from beeeeeedededdb?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -15*q + 24. Let x(w) = 48*w - 71. Determine -7*b(f) - 2*x(f).\nAnswer: 9*f - 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - (20 - 9 - 1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(17) - (sqrt(425) + sqrt(425) + 5 + sqrt(425) - sqrt(17))) + 3)*-2.\nAnswer: 4 + 26*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 10 = -26. Suppose 5*w = h + 16, -2*h + w = -4*h + y. Suppose -52 = -h*g - 8. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 3 b when four letters picked without replacement from bppboybybpcuby.\nAnswer: 10\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 1 = 7*b - 5*m, 4 = 4*m. Suppose b*w - 3*c + 2*c - 52 = 0, -2*w = -4*c - 58. Let q = w + -23. Solve o + o = q for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22473?\nAnswer: 3, 11, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes after 5:14 AM?\nAnswer: 10:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1037*l**2 + 22 + 34 + 30 - 1.\nAnswer: -1037*l**2 + 85","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:01 PM and 2:45 AM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -1330.11776 to the nearest one hundred.\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -54591*l**2 + 109212*l - 60.\nAnswer: -3*(l - 2)*(18197*l - 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 30 = -3*v. Suppose 0*c - 4*y = 2*c - 26, 5*c - y - v = 0. Solve -c*k - 4*s + 2*s = 13, 5*s = 3*k - 22 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16)\/(-36))\/((20\/102)\/((-27)\/(-9)))?\nAnswer: 34\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10321.\nAnswer: 10321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l**5\/3 - 40*l**4\/3 + 86*l**3\/3 - 44*l**2\/3 = 0. What is l?\nAnswer: -22, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 9 = 15. Let m(n) = 2*n**2 + 4*n + 11. Calculate the remainder when 32 - (-3)\/6*0 is divided by m(b).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 153 divided by -3\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 77418 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1248, 1245, 1242, 1239?\n\"Answer: -3*p + 1251","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, -2\/79, 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1879 - 3665\/2. Calculate the common denominator of r and -28\/5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 32874 - 4?\nAnswer: 32870","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -57 in 0.21, -1, 3916?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes before 2:26 AM?\nAnswer: 1:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-57) + 31\/310*0?\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-27)\/6 - -3)*4\/(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z**(-1\/3)*z*z)*z)**(-4\/21)\/((z**(-3)\/z)\/(z**(-6)*z)) assuming z is positive.\nAnswer: z**(-67\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -2979 > -2982?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -4 - 75\/10*-2. What is the first derivative of 5 - 9*t + 9*t + p*t**2 wrt t?\nAnswer: 22*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14487475?\nAnswer: 5, 579499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.19+-181424\nAnswer: -181424.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -2*w + b + 1758, 0 = -4*w + 2*b + 1410. Does 13 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, 680, 0.5, -0.2, -0.5, -1 in decreasing order.\nAnswer: 680, 0.5, -0.2, -2\/7, -0.5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.035 - -0.365. Let x = 1 - 1.5. Sort -0.3, u, -0.1, x.\nAnswer: x, -0.3, -0.1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**2 + 10*c - 17. Let b be t(-12). Factor -4 + o**2 + b + o**3 + 0*o**2 - 5*o.\nAnswer: (o - 1)**2*(o + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000441695039 rounded to five decimal places?\nAnswer: 0.00044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*r**5 + 85*r**4 + r + 65.\nAnswer: -60*r**3 + 1020*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -164*g + 0*g**2 - 168*g - 4*g**2 - 166*g - 127*g + 625*g.\nAnswer: -4*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 165\/(-2)*(-9 + 25)\/(-8) and 75?\nAnswer: 825","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 15\/606569, 2, 3\/8.\nAnswer: -3, 15\/606569, 3\/8, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -21*b**4 + 10*b**4 + 8 + 36*b + 22*b**2 - 19*b**4 - 19*b**3 - 7*b**5 - 10*b**3 = 0.\nAnswer: -2, -1, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -38, 43, -4 in descending order.\nAnswer: 43, -4, -5, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -910799, -910819, -910839, -910859, -910879?\nAnswer: -910899","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9168243?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 8, y: 2}. What is prob of picking 1 f and 1 y?\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the first derivative of p**3\/3 + 9. Let s(a) = a. Determine s(v(r)).\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 597 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k\/((k**(-3)*k)\/k)))**(2\/85)*(k*k**(1\/4)\/k)**(-27))**(-20) assuming k is positive.\nAnswer: k**(2319\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (21 - (0 + 25) - (2 + 2)) + 89?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*z = 65*z - 15784. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -7, -3, -32, 0.\nAnswer: -32, -7, -3, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - (1 - 5 - -1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**4 - f**3 - f**2 - f + 1. Let n = -183 + 201. Let g(b) = -21*b**4 + 30*b**3 + 3*b**2 + 24*b - 18. Let i(l) = n*t(l) + g(l). Factor i(a).\nAnswer: -3*a*(a - 2)*(a - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*y**5\/17 + 4240*y**4\/17 - 25512*y**3\/17 = 0. Calculate y.\nAnswer: -2126, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5.01 - 0.01. Suppose 7 - 3 = -2*o. Which is the nearest to o? (a) 0.3 (b) k (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8371 - 1902. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 172 and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.3, -5, 1, 3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**2 + k**2 + 9*k**2 - 4 - 4*k - 4*k**2. Is w(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.04 times -47\nAnswer: 1.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5\/6, 1 in descending order.\nAnswer: 1, 5\/6, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 2*m + 5*m + 4 - m**2 - 1 - 3*m. Let i be u(4). Suppose i*l + 295 = 8*l. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 144226?\nAnswer: 2, 37, 1949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in -5, -2, 69, 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*i**3 - 759870*i**2*o**3*s**2 - 2*i*o**3*s**2 + 256*i*o**3 - 54*i*o**2*s**2 - 15*i - 9*o**3*s**2 wrt i.\nAnswer: 18*i - 1519740*o**3*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -55253552*b**3*y - 3*b*y - 4*b - 167629*y - 6 wrt b.\nAnswer: -331521312*b*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -313 or -55.5?\nAnswer: -313","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1598994 divided by -59222\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -2883*z - 46126. What is s(-16)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -31514 - 33335?\nAnswer: -65152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (25\/(-60) - 0)\/(5\/(-8)). Let h = 196\/3 + -66. Suppose 3*k = -2 - 1. What is the closest to h in k, r, 5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 4*v**3 + 8*v**2 + 2*v + 8. Let t(m) = 5*m**3 + 9*m**2 + 3*m + 9. Let d(b) = -4*p(b) + 3*t(b). Calculate d(-5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -2 + 1 - (15 + -20)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2344\/17 + -138. Is s bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 267336.33974 + 13.51.\nAnswer: 267349.84974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -5*h + 6*h. Let v be (-260)\/h + -3 + (-28)\/42. What is the highest common divisor of v and 144?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -6.0758 from -9.9.\nAnswer: -3.8242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3008 and 47?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the third derivative of r**6\/120 + r**5\/30 + 8*r**3\/3 + 9*r**2. Does 8 divide b(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:27 PM and 7:23 PM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jyhcjjghjhhcyc. Give prob of sequence jchc.\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.0783, 8, -52, -5?\nAnswer: -0.0783","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3376?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*f + 2218 = -9*f - 1511 + 392 for f.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.215 plus -0.3?\nAnswer: -0.515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -861*a**3 + 6*a**2 - 812*a + 811. Determine c(1).\nAnswer: -856","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 395?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10 + 9. Let s be y + 0\/(-1) - -8. Calculate the highest common factor of s and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 b when two letters picked without replacement from bbneekfrk?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8\/(-20) - (-27416)\/40?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = -3*h - 24824*c + 24829*c, h + 22 = -4*c for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the second derivative of 0*u**5 + 9\/56*u**8 - 3\/2*u**2 + 0*u**6 + 63*u + 0*u**3 - 1\/4*u**4 - 2 + 0*u**7. What is the third derivative of o(a) wrt a?\nAnswer: 1080*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9 - (-5180)\/(-588))\/(36\/14).\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1306 and -790100.224?\nAnswer: 788794.224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*1*sqrt(1368))\/((sqrt(384)*-1)\/sqrt(12)).\nAnswer: 3*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 + -2\/5. Suppose -1 = 4*p - 21. Suppose 0 = p*w - t + 4 - 15, w - t - 3 = 0. Which is smaller: w or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 275524?\nAnswer: 2, 68881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 162 divide 319408916?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -599*h**3 - h**2 - h. Let r be y(-1). Let s = 853 - r. Suppose -s + 1164 = 14*z. What is the tens digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 102 - 184. Let z = -63 - u. What is the remainder when 35 is divided by z?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**3 - 8*y**2 - 6*y + 8. Let b be u(-7). Let z(t) = 12*t**2 + 0 - 1 + 6*t**2 + 2. What are the prime factors of z(b)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -805991, -806141, -806291, -806441, -806591, -806741?\n\"Answer: -150*r - 805841","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 641 is divided by 313?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.16378 - 0.163797413. Round y to seven dps.\nAnswer: -0.0000174","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**3 - 5*r**2 - 5*r - 2. Let b be y(-4). Let g be 2\/4*b - -5. Let h be 2\/(-11) + (679\/(-77) - (23 - 36)). Solve -5*o + g = -h for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:23 AM and 1:00 PM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 74 in 4, 0.2, 5, -1050?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + a**3 + 5 - 12*a**4 + a - 7 to y*a**4 + o*a**2 + x + d*a**3 + t*a and give y.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 362\/7 + (-2)\/(-7) and 11 + (-9 + -3)*2\/8?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 + 0)\/(22\/(-11)). Let g = q - 10. Is (-4)\/g - (-11178)\/30 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 4*a**3 - 7*a**2 + 6*a - 7. Let h(x) = -2*x**3 + x**2 - x + 1. What is 6*h(d) + z(d)?\nAnswer: -8*d**3 - d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwzz when four letters picked without replacement from {z: 7, w: 12}.\nAnswer: 77\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1342 by 1258.\nAnswer: 671\/629","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1003200 rounded to the nearest one hundred thousand?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.6814 take away -7?\nAnswer: 5.3186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -472.92376 - 0.07624. Put 4, 0.4, 1, z, -3 in ascending order.\nAnswer: z, -3, 0.4, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 18*v**3 + 297*v + 4. Let b(r) = 4*r**3 + 75*r + 1. Determine -3*a(k) + 13*b(k).\nAnswer: -2*k**3 + 84*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5562115?\nAnswer: 5, 13, 85571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*i - 13*i = 20*i + 44. Which is the closest to -0.018? (a) 0.2 (b) i (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11164 is divided by 621.\nAnswer: 607","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 3*w - 3*p + 13 = 0, -4*w = -4*p - 36. Let i = w + -2. Differentiate 2*n**4 - 6 - 3 + i wrt n.\nAnswer: 8*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, o: 13, n: 3}. What is prob of picking 3 n and 1 o?\nAnswer: 13\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*s + 1519 = 55*s. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-4)\/(-5))\/(2\/(-20)). Let c(q) = -24*q + 7. Is c(f) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.062 at least as big as -8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**4*k**(-5))\/(k**0)**(-1\/34))\/(((k\/(k**3\/k))\/k**2)\/(k**5\/k*k*(k\/k**(-4\/3)*k)\/k*k)) assuming k is positive.\nAnswer: k**(31\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*y - 919 + 387 = -367 for y.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**2 + u**2 + 5*u - 3 + u**2. Is p(4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 - 13. Let f = i - -6. Let n = -6.9 + 7.9. Sort n, -4\/3, f in increasing order.\nAnswer: -4\/3, f, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78*n - 37047461 + 37038569 = 0 for n.\nAnswer: -114","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 7*b = -2*b - 10, 0 = -2*b - 8. Suppose -x*t = -2*t - 72. Let r = -6 + t. Solve v = r*w + 2*w + 15, 0 = -3*v - w + 13 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1437 divide 20201127?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1\/54 - 25\/108. Let l = -9 - -8. Let f = 8\/3 + -7\/6. What is the biggest value in l, y, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 9) in base 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7354574?\nAnswer: 2, 17, 29, 7459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(1 + (sqrt(891) + -1 + -5 - (5*(sqrt(891) + 2) + sqrt(891))))**2.\nAnswer: 1350*sqrt(11) + 22500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the first derivative of -5*q**3\/3 + 1. Suppose -3*k + 5 = -10. Let v(t) = 5 - 4*t**2 - k + 5*t**2. Give v(p(i)).\nAnswer: 25*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5967270069 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: Solve -5*z = -2*u - 9, 4*u - 4*z + 83 = 71 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.3424890902 to 1 dp.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 divided by 182?\nAnswer: -15\/91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 26 - 27. Sort 1, v, -5 in decreasing order.\nAnswer: 1, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(325) + ((sqrt(325) + 1)*1)**2 - (2*sqrt(325) + -1)**2) + 0.\nAnswer: -975 + 35*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.793 - -0.047. Let z = 0.84 - w. Sort -0.3, 11, z in ascending order.\nAnswer: -0.3, z, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 406 and 2494?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rvrereerrvrvrveerv. What is prob of sequence er?\nAnswer: 20\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6.67 - 8.5. Let q = 0.07 - s. Let g = q + -2. Which is bigger: g or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 3 q when four letters picked without replacement from bqqbbbqbbbqbbbbbbb.\nAnswer: 14\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4017*a = 4002*a - 330 for a.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 759520387 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qhthgtgtqttt. Give prob of picking 2 t.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 386, -3, -1\/4 in increasing order.\nAnswer: -3, -1\/4, 386","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -4*r + 70, -j + 5*r - 9 = 20. Let y = -27 - j. Calculate the smallest common multiple of 18 and y.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1199749*c**2 - 14*c + 93636.\nAnswer: -2399498","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0\/(2 + -8 + (8 - 1))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (745\/(-1341))\/(260\/24)\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, o: 6, x: 1, k: 2}. What is prob of picking 1 w, 1 x, and 2 o?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -19618, -19628, -19644, -19666?\n\"Answer: -3*b**2 - b - 19614","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 7*i + 11*i - 10*i + 5*i. Let t(n) = n + 1. Let u(p) = -k(p) - t(p). What is the units digit of u(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-116)\/(-16))\/(6\/(-192)*4)\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 0*d = 1280. Let v = d - 214. Calculate the remainder when 203 is divided by v.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11 * -67.\nAnswer: 737","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1041 (base 6) in base 14?\nAnswer: -133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-3 + (sqrt(125) - (sqrt(125) - ((sqrt(125) - (sqrt(125) - (sqrt(125) + 1) - sqrt(125))) + -1) - sqrt(125)))*-1)*-2*5*-6)**2.\nAnswer: 5184000*sqrt(5) + 65318400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((30\/12)\/((-169)\/(-39)))\/((-9)\/36).\nAnswer: -30\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1280*j + 207*j = -2227*j - 2849*j - 184138 for j.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -8*f + 3. Let x be 1328\/18 + (-72)\/(-324). Let o = x + -80. Let y(l) = -3 + 6 - 2*l - 7*l. Determine o*y(j) + 7*g(j).\nAnswer: -2*j + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of ((-3638)\/2)\/((450\/162)\/(-25))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the second derivative of -b**3\/3 - 5*b**2\/2 + b. Let x be l(-5). Suppose -4*y - 25 = -x*a, -a = y + 3*y - 5. Solve 5*f + 25 = -y*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4454\/262)\/((-1)\/(-1))\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the third derivative of -x**6\/120 + 3*x**5\/20 + 7*x**3\/6 + 5*x**2. Let q be i(9). Let c = q - 9. Let v(d) = -5*d. Determine v(c).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 255 and 102?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in four sevenths of a week?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -35\/8 and -137\/12?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 18 = 2. Let l = 15 - 10. Suppose l*a = 39 + g. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/(-63) + (-6)\/(-21). Which is the closest to i? (a) -2 (b) 0 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -66 + 165. Let g(k) = k**2 + 9*k + 11. Suppose -5 = -5*v + 5, 0 = -d - 5*v + 1. Let q be g(d). Calculate the greatest common factor of j and q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12826944?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + l - 345 = 0. Suppose -5*z + 30 = -l. Suppose z = -5*h + 84. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0258093436 rounded to five decimal places?\nAnswer: -0.02581","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-274)\/685)\/((((-184)\/(-240))\/(-23))\/(7\/3))?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the first derivative of f**5\/20 - 3*f**4\/8 + f**3 - f**2 - 1. Let l(y) be the second derivative of j(y). Suppose l(n) = 0. What is n?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 33*d - 36*d. Let m = 2 + -2. Suppose m = -2*k - 3*k + 25. Is k less than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3 - 21)\/(-3) + -1. Suppose 3*d + l = 15, -v*d + 5*l = -2*d + 3. Solve 0 = -n + 4*o - 20, -5*n - 3*o - d = 4 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**3 - 3*j**2 - j - 1. Let q be n(-3). Let r(y) = -11*y + 7. Let t be r(-13). List the prime factors of q\/6 - t\/(-9).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 641878669 less than -10?\nAnswer: -641878679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -9\/4, -3\/7, -0.048?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2397092 is divided by 78?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -56, -170, -352, -596, -896, -1246, -1640, -2072?\n\"Answer: f**3 - 40*f**2 - f - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q + d - 0*d - 879, 3*d = -3*q - 531. Calculate the common denominator of 61\/6 and 780\/q + 2\/11.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*j - 430 = -28*j. Solve -15*p = j*p + 116 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2249.5? (a) 7 (b) 0.03 (c) -1 (d) 0 (e) -2 (f) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**3 - a**2 - a + 8. Let l be g(0). Let n = 21 - 9. What is the highest common factor of l and n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/758, 3\/4, -7, -13, -3, 0.5 in descending order.\nAnswer: 3\/4, 0.5, 3\/758, -3, -7, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 2*m**3 - 20*m**2 + 5*m - 14. Let o be n(9). Let x = -509\/4 - o. Factor x*z**3 + 0*z + 0 - 3\/2*z**2.\nAnswer: 3*z**2*(5*z - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (6\/4)\/((-9)\/(-24)). Let k be t*(6\/(-2))\/(-6). Solve -5*c + 4*u + 33 + 12 = 0, 0 = k*c + u - 5 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -12, -1\/2, -34.\nAnswer: -34, -12, -1\/2, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -3*x - 6. Let i(m) = -4*m - 6. Determine -4*i(g) + 5*n(g).\nAnswer: g - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**3 - 5*k**2 - 1. Let i be q(-5). Let j = -0.072 - -1.072. Let y = 9 - 17\/2. Which is the closest to i? (a) y (b) 0.1 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 651671?\nAnswer: 73, 79, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 152597 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8410, 8607, 8980, 9565, 10398, 11515, 12952?\nAnswer: 14745","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 3*u**2 + 613*u - 404. Let x(n) = -2. Let h(a) = -5*s(a) - 15*x(a). Factor h(k).\nAnswer: -5*(k + 205)*(3*k - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t - l - 34, 0*t + 5*t + 5*l = 55. What is the remainder when 13 is divided by 126\/t - 4\/10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9 and 7153170?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/182 and -131\/1872.\nAnswer: 13104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 85378176 to the power of 1\/2, to the nearest integer?\nAnswer: 9240","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3*4\/(-24)*-10. Let x = -0.39 - 0.01. What is the second biggest value in x, 4, l?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2670, 5361, 8052, 10743, 13434?\n\"Answer: 2691*l - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -34 times 2.5489\nAnswer: -86.6626","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52 = -4*z + 28 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9\/12002 + -10609687\/108018. Let p = b + 98. Which is greater: -0.2 or p?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 223989 (b) -3\/13 (c) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes after 2:39 AM?\nAnswer: 6:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*z**5 + 24*z**4 + 42*z**3 - 24*z**2 - 45*z = 0. Calculate z.\nAnswer: -5, -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12*b**3 - 11*b**3 + 9*b**3 + (-4*b + 2*b + 6*b)*(-1 + 2*b**2 - 2 + 1).\nAnswer: -6*b**3 - 8*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i\/i**6)*i*i)**(-41)*i**(-12)\/i**1 assuming i is positive.\nAnswer: i**(-341)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/y**(1\/44)*y\/(y\/y**(6\/5))*(y*y\/(y\/(y*y*y\/((y\/(((y*y\/(y*y\/(y*y**(-33)*y)))\/y)\/y))\/y*y))*y*y)*y*y)\/(y*y**(-34)) assuming y is positive.\nAnswer: y**(1139\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-5 + 20 + -6 - 3) + -6. Sort 347.5, 2\/5, w, 4 in increasing order.\nAnswer: w, 2\/5, 4, 347.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -847 + 25*j - 108*j + 82*j in the form f + x*j and give f.\nAnswer: -847","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6\/11? (a) 42\/13 (b) -3 (c) -1\/5 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1230*n**2 - 1582*n**2 + 2407 - 285*n**2 + 5971*n**2 + 2*n wrt n.\nAnswer: 10668","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -977976, -978090, -978386, -978954, -979884?\nAnswer: -981266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -2*o + 16. Let i be p(14). Find the common denominator of -1\/6 and (-1983)\/360 - i\/90.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 2*r - 29. Let j(z) = -2*z + 28. Give -3*j(s) - 2*y(s).\nAnswer: 2*s - 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-189)\/105*((-88)\/33 - -1)*27.\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the third derivative of c**5\/60 + 5*c**4\/12 - 3*c**3\/2 - 8*c**2. List the prime factors of a(-11).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 - 0. Let k be d\/2*(-10)\/(-1). Solve -3*u - k = 2 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*v + 78 = -40*v. Let b = v - -71. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 118757041 to the nearest integer?\nAnswer: 10898","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 123841.46 rounded to the nearest one hundred?\nAnswer: 123800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 31*c**2 - 1086*c + 45. Give l(35).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the third derivative of -1\/12*k**4 + 91\/6*k**3 + 9\/4*k**5 + 0 + 2*k - 39*k**2. Find the second derivative of w(n) wrt n.\nAnswer: 270","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**2 - 4*d**2 - 41 - 36 + 74. Let m(v) = -6*v**2 - 4. Calculate -3*m(k) + 4*w(k).\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -321 divided by 3.\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8180*q**3*t**2 + 2*q**3 - 10955*q*t**2 + 3*q wrt q.\nAnswer: 49080*q*t**2 + 12*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 4*w = -60, -2*w - 90 = -3*c - 4*w. What is the least common multiple of c and 15?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxxxxx. What is prob of sequence xxx?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 43*c**2 + 169 - 169 + (c**2 + 4*c**2 - 6*c**2)*(-2 + 3 + 1) - 200*c - 11*c**2 + 200*c.\nAnswer: 30*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*b**4 - 36*b**3 + 24*b**2 + 64*b = 0. Calculate b.\nAnswer: -1, 0, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2781 and 22383.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 404567420*w**3*y**3 + 2109522*w**2*y**3 - 95*y wrt w.\nAnswer: 2427404520*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 7 + 2)*(4*s - s - 11*s + 10).\nAnswer: 32*s - 40","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -18.21 in 4, -1\/8, 3, 1?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 2*w - 2*p - 510, 3*p = w - 255. Does 15 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes after 9:08 PM?\nAnswer: 3:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the second derivative of 8\/3*p**2 + 122*p + 0 - 2\/3*p**3 - 1\/9*p**4. Factor v(j).\nAnswer: -4*(j - 1)*(j + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 14689249.83 - -10.\nAnswer: 14689259.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -3*i - 21, -o - i + 23 = -6*i. Suppose -o*r = -1 - 14. Let d be ((-60)\/16)\/(3\/(-36)). What is the greatest common factor of r and d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.336 + -14.134. Let x = -14.8 - m. What is x rounded to one decimal place?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 105264 a multiple of 102?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 2\/3, 4, -3, 3\/2, -11?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2706475.019 rounded to the nearest 10000?\nAnswer: -2710000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z = -4*n + 6, -z + 21 = n + 20 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*z - 60*z + 84 = 3*t - t, -3 = -44*t + 46*t + 5*z for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -180, -0.4, -2, 1\/3 in decreasing order.\nAnswer: 3, 1\/3, -0.4, -2, -180","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 935 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(45)*6 + (sqrt(405) + -3*sqrt(405) - sqrt(405))*6 + sqrt(405))**2.\nAnswer: 340605","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20100 and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17581?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**2 - 6*w - 5. Let y be m(7). Let j be ((-117)\/(-26))\/(1\/y). Suppose j*c - 130 = -22. Calculate the greatest common divisor of c and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -5*y + 3, -23 = 3*l - 5*l - 5*y. Let b(k) = -20*k - 2*k + k**2 + 18*k. Calculate b(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-279)\/12)\/((-492)\/160 - -3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 102516?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 2*l, -6*l = -3*c - 10*l + 2960. Does 31 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - ((-7 - 4) + 7)) + -15?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 65642 (base 8) to base 13\nAnswer: c707","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 60 - 56. Suppose -5*v = -4*g - 4, -t*v - 2 = -0*g + 2*g. Solve -5 = c - v for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5186663?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 5*t**2 - 4*t - 5. Let z(c) = 13*c**2 - 11*c - 14. Give 8*a(o) - 3*z(o).\nAnswer: o**2 + o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -160*w - 128*w + 1116 = 238*w + 32*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 516291?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*z - 8*z + 120. Let k(s) = s**2 - 9*s + 13. Calculate k(z).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.0763 - 31.8237. Let y = 31 + s. Let z = 1 + y. What is the nearest to z in 4, 0.4, -2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*5*(sqrt(588)*-1 + sqrt(588) - sqrt(12)))\/(-1*(sqrt(54) - (-1*sqrt(1944) + sqrt(1944) + sqrt(54) - sqrt(54)))\/sqrt(9)))**2.\nAnswer: 1250","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33451466 is divided by 4459.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**2 + 25*b + 23. Let a be n(-24). Let h be (-14)\/6 + 1\/3. Sort 2, a, h in descending order.\nAnswer: 2, a, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b + 4. Let j be g(2). Suppose 6 - j = 4*p. What is the tens digit of (p - 4)*1 - -217?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -2717 (b) -0.0167 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 62742?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1649 and 85.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the second derivative of f**3\/3 - 13*f. Let r(h) = -90*h**2 + 65*h**2 - 4 + 6 + 29*h**2. Determine r(u(j)).\nAnswer: 16*j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -1271*d - 29. Let q(w) = 353*w**2. Give l(q(k)).\nAnswer: -448663*k**2 - 29","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 21\/2 of a century?\nAnswer: 12600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 92 - 91.965. Let n = u + 0.965. Sort -4, -6, -2, n in descending order.\nAnswer: n, -2, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 29862, 4 in increasing order.\nAnswer: -2, 4, 29862","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2466600 to the power of 1\/5, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c\/c**(-7\/6)*c*c**(-3\/11))**(-19))**(5\/8) assuming c is positive.\nAnswer: c**(-24415\/528)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes after 6:04 AM?\nAnswer: 5:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes before 1:24 AM?\nAnswer: 7:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 10*a**2 + a. Let l be u(1). Suppose -20 = -4*t, t = 2*i - 4*t + l. What is the lowest common multiple of 1 and i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 + 5. Let h(f) = 6*f**2 + 2*f + 1. Let a be h(x). Suppose -4 = -a*k + 1. Which is smaller: 1\/9 or k?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 234581?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 19*s - 15*s - 855, 5*k = -15. Is s > 212?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1250604 and 16?\nAnswer: 5002416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.17 + -1.17. Let h = -0.07 - 3.93. Which is the closest to l? (a) -1 (b) -2 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-3 + (sqrt(432) + (-1*sqrt(3) - sqrt(3))*-4 - (4 + 5 + 2 + sqrt(3))))**2.\nAnswer: -1279 + 532*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 520747734?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 2 = 0, 0 = -3*m + 4*f + 3244 + 2041. Calculate the remainder when m is divided by 49.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 407*k**3 + k**2 + 13*k wrt k.\nAnswer: 2442","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-6)\/6)\/(1 - 0). Let h(k) = -6*k**3 + k**2 + 2*k + 1. Let u be h(x). Suppose -3*p + 40 + 3 = 5*z, 0 = 3*z - u. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*v - 131*v + 657 = 123*v. Let x(y) = 12*y**3 - y**2 - y - 1. Let d(r) = -36*r**3 + 3*r**2 + 3*r + 2. Calculate v*d(i) + 8*x(i).\nAnswer: -12*i**3 + i**2 + i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.12 - -0.037.\nAnswer: -0.083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -2*t + 38 - 6, -2*s + t + 16 = 0. Let i(x) = -x**2 + 7*x - 4. Let p be i(s). Let l = 34 + p. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (6\/21)\/((-2)\/(-28)). Let t be (p - 10)*1\/(-39). Let y = -49 - -45. Which is the third biggest value? (a) t (b) y (c) 1\/6 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 315658.\nAnswer: 2, 7, 3221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 104947 - 104942. Let m(v) = 8 + v**3 - 2*v**3 + 4 + 6*v**2 - 3 - 8*v. Give m(i).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2591*t**3 + 0*t**2 + 247*t + 0*t**2 + 1326*t**3 + 1266*t**3.\nAnswer: t**3 + 247*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 71, 77, 87, 101?\nAnswer: 119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3772403 - 7544783 + 4*j**3 + 3772380.\nAnswer: 4*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kqqqqmqkqqmqq. Give prob of sequence mmqk.\nAnswer: 3\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:30 AM and 3:33 PM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 21.589 - 1085\nAnswer: -1063.411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 8*t = -11*t + 72, -5*t - 56 = -3*h. Calculate the greatest common factor of 88 and h.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 5*k - 210 = -m, -4*m - 4*k = -280. Does 19 divide 3970\/m + -1 + 9\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 30 + -25. Let h be 6 - r*(-8)\/(-20). What are the prime factors of (-83*4)\/2*(-2)\/h?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 42\/(4 - 2)*-1. Let w be (3\/j)\/((-1)\/4). Is w <= 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 655122643 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 - 11 = -6*a. Suppose -11 = -h + 2*g, -5*g - 7 = -a*h + 28. What is the remainder when 17 is divided by h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 106\/6 - (-6)\/(-9). Let z = g - 18. What is the closest to z in 3, 5, -13?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(180) - (-1*sqrt(180) + 4) - (sqrt(180) - 2*(sqrt(180) + 0))) + (sqrt(720) - (sqrt(720) - 3*sqrt(720)*-2) - sqrt(720) - (sqrt(720)*-2 + -4)))**2.\nAnswer: 8820","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*g - 1715 = -7745. Let t be (-1 + g\/(-666))*3. Let j = t + -125\/777. What is the nearest to 0 in 2, j, -2\/3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -908 - -2037. What are the prime factors of d?\nAnswer: 1129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 13401*m**3*r*u**3 + 2*m**3*u**3 + 2*m**3 + m**2*r*u + 2*r*u**2 + 3*u**4 - u**2 - 1774*u wrt u?\nAnswer: 80406*m**3*r + 12*m**3 + 72*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**2 - 17392*m + 17388.\nAnswer: 4*(m - 4347)*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3293 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1\/(-2*4\/(-24))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1431784325?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 456576?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1674 and 11575121?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -13 - (22 + -27)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8200 - 639619\/78. Let h = 1\/13 + w. Which is the third smallest value? (a) -1\/7 (b) -0.2 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 3*s - 7, 4*s + 29 - 31 = -2*r. Put -25, s, -4 in decreasing order.\nAnswer: s, -4, -25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3447247127?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 2*m**3 + 66*m**2 + 9*m + 291. Calculate t(-33).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3164659 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from qqqqzqqqqqqq.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-94)\/1)\/(2286\/1143)?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 + -8. Let p = 5 - z. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8287*u**4 - 10596*u.\nAnswer: 99444*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101612 is divided by 219?\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*s - 2*a - 2, -5*a = -2*s - 0*a + 12 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -74*(2\/(-6))\/((-6)\/(-9)). Let u = a + -38. What are the prime factors of -3 + ((-765)\/(-3) - (u + 3))?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 377 divide 1115853?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*q**2*u - 14*q**2 + 218*u with respect to q.\nAnswer: 6*q*u - 28*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/15? (a) 2\/57 (b) -0.6 (c) 595\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 5*t, -5*z = -0*z - 4*t - 34. Suppose 6 + z = 4*s. Let n be 6*1\/6*s. Put 1, n, -2 in increasing order.\nAnswer: -2, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.6173 from 0.05.\nAnswer: -0.5673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**2 - 12*l - 8. Let j be v(13). Let t be (18\/27)\/(14\/9). Put -2, 12\/7, t, j in decreasing order.\nAnswer: j, 12\/7, t, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 9) to base 11.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**3 - 24*c**2 - 30*c + 10. Is l(-25) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-7 - -4) + 3)\/(-2). Suppose 4*j + 5*a - 62 = o, -4*j + 5*j + a = 15. Is 11 at least as big as j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5449 + 5453. Which is smaller: z or 683?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -3008, -3013, -3020, -3029, -3040?\n\"Answer: -f**2 - 2*f - 3005","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 437167 is divided by 36419?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -4 - 3*n + 5 + 4*n + 0. Let q be z(-2). Is 7 a factor of 15 - (q - -1)\/(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the first derivative of -8*h**5\/5 - 55*h**4\/14 + 8*h**3\/21 + 4*h**2\/7 + 7. Find w, given that x(w) = 0.\nAnswer: -2, -1\/4, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7204? (a) -1 (b) -2 (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h - 4*h + 2*h)*(2*h**3 - 3*h**3 - 5*h**3)*(750*h - 223*h - 271*h).\nAnswer: 3072*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 119639 - 57387. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -30 - -31. Suppose d = 6*d - 35. Let s = -10 + d. Sort s, x, 1\/4 in descending order.\nAnswer: x, 1\/4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2948026 or 2948025?\nAnswer: 2948025","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the first derivative of 2*y**2 - y - 887. Calculate g(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 3*i**2 + 1. Let f be x(1). Suppose f*t + 3*a = 241, t + 16 - 82 = 5*a. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 33457226 and 460?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -167\/49290 and 49\/1860.\nAnswer: 98580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*n + 0*n + n**2)*(-5 + 2*n + 5)*(-5 - 1 + 3)*(-5 + 3 + 0 + (-8 + 4 + 0)*(4 - 2 + 0)) to p*n**2 + v*n + j + k*n**3 and give k.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -15427118*i*v**3 + i*v**2 + 425*v**3 - 751*v**2 + 4 wrt i.\nAnswer: -15427118*v**3 + v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (4\/(-40) - 24\/(-40))?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -4 (b) -40 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 2*b - 8. Let d(j) = -13*j**2 - 16*j**2 - 16*j**2 - 20*j**2 + 66*j**2. Determine d(k(t)).\nAnswer: 4*t**2 - 32*t + 64","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**3 + 7*x**2 + 3*x - 14. What is f(-5)?\nAnswer: 271","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.800275 - -0.8. What is t rounded to four dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-33*f - f + 17*f)*(-3 - 2*f + 3 + (136*f + 191*f + 15*f)*(-1 + 0 + 2) - f + 2*f - 3*f) to i*f + r*f**2 + x and give r.\nAnswer: -5746","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/42 and 61\/168.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 - -6467?\nAnswer: 6470","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -27 - 32 - 4*o**2 + 4*o + 79 + o**2 - 22 to the form w*o**2 + h*o + g and give h.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, q: 3, r: 1, z: 1, e: 2, g: 4}. What is prob of sequence zrg?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1909 and 2663387?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/958789 and 38\/73753?\nAnswer: 958789","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 685 - 681.99. Let r = -60 - -57. Let x = w + r. Which is bigger: 0.1 or x?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 41 - -173. Let w = 47724619 + -47724832.99883. Let f = w + b. Round f to four decimal places.\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-12)*b*b*b\/(b\/(b*b**5)))**(1\/12)\/((b**(1\/5))**(-45))**(-1\/12) assuming b is positive.\nAnswer: b**(-13\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 34 + 116*w - 34 + 3*w**3 - 2*w**2 to the form q*w + n + m*w**3 + h*w**2 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -321747.1004+3\nAnswer: -321744.1004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -1136 greater than or equal to -1136?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -997, -2037, -3109, -4213, -5349, -6517?\n\"Answer: -16*m**2 - 992*m + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + o - 4 + 1)*(-1 - 4 + 4) + 2142*o - 889*o - 774*o)*(1 - o - 1 + (-2*o - 2*o + 3*o)*(1 + 2 - 1) + 3*o + 0*o - o).\nAnswer: -478*o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -11\/9 (b) -4 (c) 209 (d) 64\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (240\/(-900))\/((11\/(-44)*-12)\/(15\/(-3)))?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 5*h**2 - 1 + 2*h**3 - 2*h**2 in the form k*h**3 + g + w*h**2 + y*h and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 515, 1, 2, 3 in increasing order.\nAnswer: 1, 2, 3, 515","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 24 + 3 = -3*x, 0 = -4*x - 2*b + 4. Suppose 4*z + 3*n + 2 = -1, x*z + 5*n = -16. Let t be (0 - -6)*(-2)\/(-3). Solve g - z + t = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85*b - 79*b = 36. Suppose b = -23*q + 75. Solve 0 = q*w - 2*w + 2, 14 = -4*j - w for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*k - 19373 = -119*k + 31171. Solve -k*u + 477*u = -18 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -8, 12, -24, -5 in decreasing order.\nAnswer: 12, 0, -5, -8, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 88 and 4?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w - 4*t - 8, 0 = -6*t + 5*t - 1. Solve -4*q - 3*v - w*v = -23, 0 = -2*q + v + 1 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the first derivative of -22*l**5\/5 - 10*l**2 + 16. Find the second derivative of h(u) wrt u.\nAnswer: -264*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 156571235\/1705 + 36\/(-22) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**2 + 12*f + 6. Let c be h(-10). Let v(k) be the first derivative of -k**2\/2 + 7*k - 5. List the prime factors of v(c).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -617*o**3 + 0 + 0 - 12300*o**3.\nAnswer: -12917*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -30, 5, -4.\nAnswer: -30, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -2*x - 14, q - 49 = -44. Calculate the highest common factor of x and 294.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -380443*y - 6734272*y + 10 - 10.\nAnswer: -7114715*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the first derivative of 15*l**4\/4 - 9*l**2\/2 + 9*l - 1. Let t(o) = 3*o + 5 + 2*o**3 - 8*o + 6*o**3. Let d = 66 + -61. Determine d*y(j) - 9*t(j).\nAnswer: 3*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6333*i**2 - 38135 - 6162*i**2 + 36835 + 887*i**2 + 1936*i**2 wrt i.\nAnswer: -19344*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 160616.2 meters to micrometers.\nAnswer: 160616200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*i - 464243 = -3*k - 14353, 2*k = -4*i + 224944. What are the prime factors of i?\nAnswer: 56237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*j + 3*j = u - 2, 2*u = 12*j - 18498 + 18526 for u.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 0 - 2 + 1. Let y(v) = -v**2 + v + 8. Let k = 157 + -158. Calculate k*y(j) - 6*b(j).\nAnswer: j**2 - j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**2 + 2125*b + 36428. Give l(-17).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -33782 + 33812. What is the lowest common multiple of 762 and t?\nAnswer: 3810","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*k**5 + 608*k**4 + 708*k**2 + 1?\nAnswer: 120*k**2 + 14592*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 980 + -10770\/11. What is the common denominator of 171\/(-21) - 3\/(-3) and u?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 5*r**2 + 4*r + 4. Let p(i) = -i**2 - i - 1. Suppose m - 5*y - 7 = 9, 3*y = -3*m + 30. Let n = -12 + m. Let b = n - 3. Give b*p(v) - q(v).\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28 - (-17 + 3 + 7) - (310 - 302).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -4*t**2 - 5*t + 8. Calculate p(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 + 10. Differentiate -29 + 36 - t*y**2 + 0*y**2 with respect to y.\nAnswer: -12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/3, -6, 6, 8\/3?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12113199 is divided by 448637.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -16*z - 54. Let w be q(7). Let h = w + 306. What are the prime factors of h?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 164*s + 20 = 160*s. List the prime factors of 26\/(((-10)\/s)\/8).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 285*g = 73*g - 38*g + 7000. What is the greatest common factor of g and 16982?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 2*d**3 + 294*d**2 - 626*d - 4470 = 0.\nAnswer: -149, -3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9 by 27.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9*p + 3*p + 0*p)*(-10*p**3 + 2*p**3 + 2*p**3) + 36*p**3 + 2 - 37*p**3 + 0 + p**4 in the form h*p**2 + v*p**4 + x + w*p + m*p**3 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.283538 weeks to nanoseconds.\nAnswer: 4405083782400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6410 in -4, -0.1, 2, 2\/3, 0.4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1064, -1166, -1378, -1754, -2348, -3214, -4406, -5978?\n\"Answer: -9*n**3 - n**2 - 36*n - 1018","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1bd81 + -57?\nAnswer: 1bd29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -10*f + 560. Calculate i(57).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -20 + 40. Is 20 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the third derivative of -97*q**4\/8 - 806*q**2 - 2*q. Let u(g) = g. What is z(u(m))?\nAnswer: -291*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x + 3*p - 44 = -50, 13*x = -p - 14 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4.487 and 1455.\nAnswer: 6528.585","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 238591 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5d - 842?\nAnswer: -8a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**21\/a**(2\/7))**40)**(20\/3) assuming a is positive.\nAnswer: a**(116000\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*y**3 - 2 + y**3 - 48*y**4 + 53*y**4 - 2*y**2 to the form t*y**2 + b*y**4 + z*y**3 + d + l*y and give z.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -54020*d**2 + d + 1306. Let o(g) = -2*g. Give a(o(p)).\nAnswer: -216080*p**2 - 2*p + 1306","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6409*a - 145626 = 213278 for a.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 161 = 5*r, r + 2*b + 22 + 19 = 0. Let g = -29 - r. Suppose g*k = -4*l + 268, 1 + 3 = -2*l. What are the prime factors of k?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*v**2 - 2*v**2 - 4*v**2 + 0*v**2 - 5*v**2 + 4*v**2 + (4 + 0 - 3)*(0*v**2 + 2*v**2 - 4*v**2).\nAnswer: -12*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-40) - 1159\/190\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 19*m**2 - 46*m + 32. Let t(y) = 25*y**2 - 60*y + 42. Let x(i) = -13*c(i) + 10*t(i). Calculate x(2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 870*d**3 - 5*d**2 + 12*d - 6. What are the prime factors of a(1)?\nAnswer: 13, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 + -6. Let s = q - -6. Solve s*t + 1 = -5*c + 13, 2*c - 1 = 3*t for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3555662?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 + -21. Let t = o - -47. Suppose -t = -4*h + a, -3*a + 20 = 5*h - 8*a. Does 3 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 1 m when three letters picked without replacement from mhymmyxhyy.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 273752677 is divided by 3373?\nAnswer: 3370","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(405)*1)**2 - (sqrt(40)\/(sqrt(32)\/sqrt(4)) - sqrt(5)).\nAnswer: 405","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 + 86 = -2*l. Let n = -47 - l. Let h(i) = -i**3 + 6*i**2 - 4*i - 1. Determine h(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4715*r + 42646 = 211 for r.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -101 less than or equal to 181343?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 157 at least as big as -4\/181?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 7775.024um?\nAnswer: 7.775024","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -5*t**4 - 2520*t**3 - 307280*t**2 + 2580480*t - 5242880 = 0.\nAnswer: -256, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/5 + 1\/5*u + 14\/5*u**2 + 9\/5*u**3.\nAnswer: (u + 1)**2*(9*u - 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the second derivative of -17*z**3\/6 - 5*z**2\/2 + 2*z. Suppose -5*r - 4 = -i + 26, -2*r + 48 = 2*i. What is the remainder when n(-6) is divided by i?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 + 122210010100?\nAnswer: 122210010020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the third derivative of a**5\/10 + a**4\/12 + 2*a**3\/3 + 5114*a**2. Let b(c) = 13*c**2 + 5*c + 9. Calculate -6*b(l) + 14*y(l).\nAnswer: 6*l**2 - 2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 1 = -1. Solve 2*d**3 - d + j*d**2 + d = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from thhhhhthhhhhth. What is prob of sequence hh?\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of -22.735 and 0.912.\nAnswer: -20.73432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -38.1913039, -4 in descending order.\nAnswer: -3, -4, -38.1913039","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1010032111 (base 4) to base 2.\nAnswer: 1000100001110010101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (-3 - -9) + -5.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 70826*m. Let t(n) = -20*n - 2. What is b(t(q))?\nAnswer: -1416520*q - 141652","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x + 9. Let v(s) = 1. Let q(w) = 3*i(w) + 6*v(w). Let m be q(9). Suppose m = -2*r, p + 2*r + 0 = 4. Calculate the remainder when 38 is divided by p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54425 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 5*l**2 + 81. Determine v(0).\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -32*q**3 + 15*q**2 + 34*q**3 - 5*q**2 + 6*q**2 to the form w*q**2 + k*q + o + y*q**3 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmw when three letters picked without replacement from wmmmmmmwmwwwwwmmwww.\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -96694 not equal to -2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Total of 76764 and -7572.745.\nAnswer: 69191.255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 0*x**2 - 2*x**2 + 4*x**2 - x**3 - 1 + 3*x. Give k(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 - (-4193)\/588) + (5 - (-925)\/(-222))?\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the third derivative of u**4\/24 + 3*u**3 - 20*u**2. Let o be a(-13). What is the units digit of 202 + o\/(-3)*-3?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14023398 to the power of 1\/2, to the nearest integer?\nAnswer: 3745","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 329 is divided by (-50)\/(-10) + -2 - (-110 + 1).\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 45886, 45883, 45880, 45877, 45874?\nAnswer: 45871","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -21 + 37. Let o(v) = 2*v - 9. Let r be o(6). Suppose -x = r*x - a. Solve -x*z - 3*g + 29 = -8*g, 21 = -4*z - 5*g for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 + -13 + 7 + (-16)\/4. Let g be ((-4)\/(-44))\/(1\/(-2)). Which is the nearest to -1? (a) g (b) f (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*s**2 - 3*s**2 + 0*s**3 + s**3)*(9*s**2 + 3*s**2 - s**2).\nAnswer: 11*s**5 + 99*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5146 and 806.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3099, 3328, 3581, 3876, 4231, 4664?\nAnswer: 5193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a meter in millimeters?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -91550, -182998, -274340, -365570, -456682, -547670, -638528, -729250?\n\"Answer: y**3 + 47*y**2 - 91596*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5409 = -16*m - 5025. What is the lowest common multiple of 2199 and m?\nAnswer: 17592","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 98 a factor of 1116\/372 + (-15)\/6*-2294*2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (576 - 592) + (-40)\/(-1)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 225 and -0.409.\nAnswer: -92.025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 3*l**2 - 2176*l - 6556. Calculate w(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 21*p**2 + 58*p - 17. Let t(b) = -5*b**2 - 14*b + 4. Calculate -2*m(f) - 9*t(f).\nAnswer: 3*f**2 + 10*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s + 7. Let y be z(6). Let n be -2 - 183\/(-2 - y). Suppose -n - 36 = -p. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15598?\nAnswer: 2, 11, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -4*l**2 + 3*l - 3. Let s(x) be the third derivative of -x**5\/60 + x**4\/24 - x**3\/6 - 105*x**2. What is 2*s(i) - v(i)?\nAnswer: 2*i**2 - i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 7*o**2 + 29*o. Let z(f) = 22*f**2 + 86*f. Determine 16*b(l) - 5*z(l).\nAnswer: 2*l**2 + 34*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -828 - -826. Which is the nearest to z? (a) 1 (b) -1 (c) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2725, -2724, -2723?\nAnswer: -2722","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*h + 13*h. Let n = -2 + 1. Let q be 4\/(-14) - 4\/14. Which is the closest to n? (a) 0.4 (b) h (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**2. Let q(v) = -1011*v. Give q(m(s)).\nAnswer: -1011*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 28472 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 163.3523078 and 722?\nAnswer: 558.6476922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 40\/(-18) - (-73485)\/3726\nAnswer: 35\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 6446740?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 9*m - 52. Let j be 7*(8 + -3) - -4. Suppose d - m*d = -j. Does 13 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*u + 128 = 152 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 - 14dca4a?\nAnswer: -14dca4a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, r: 4, m: 4}. Give prob of picking 1 u and 3 m.\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -10613526066082 - 0.3.\nAnswer: -10613526066082.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -6) + 11\/((-528)\/252)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**0*d)**46*(d**(-2\/9))**(-21)*((d*d\/(d\/(d**(2\/7)*d)))\/d)**(-18)*d*d**(-1)\/d*d*d**(-9) assuming d is positive.\nAnswer: d**(1355\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-15)*i\/(i*i\/(i**17*i*i)*i) assuming i is positive.\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 407*x**2 + 1227*x + 26. What are the prime factors of i(10)?\nAnswer: 2, 13249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2545 divided by -509.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -211*c = -294 + 226 - 565. Solve -4*l - 5*f = 15 - 24, l = -2*f + c for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01913 - 141.2?\nAnswer: -141.18087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.4 and 32.7.\nAnswer: 32.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -10*k - 51. Let p(r) = -2*r**3 + 42*r**2 - r + 25. Let m be p(21). Put m, -4, k, 1 in ascending order.\nAnswer: k, -4, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 34972961 - 19092965. Suppose 2*x = -l - o, 0*x + x + 7939996 = -l. Round x to the nearest one hundred thousand.\nAnswer: -7900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/237, -1, 5, -0.1 in decreasing order.\nAnswer: 5, 1\/237, -0.1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**2 - p. Let d be g(1). Let j = 8 + -3. Let k = d + j. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 4200917714?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v\/(v**(-1\/8)*v*v)*v)\/v**(-10))**50*v**4*v*v\/(v**(-8)\/v)*(v**(1\/4))**(-3\/5) assuming v is positive.\nAnswer: v**(5711\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 314 is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**3 - 2*m**2 + 3*m + 16. Let z be h(-5). Let y = -13 + z. Is y a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9355, 9357, 9359?\nAnswer: 9361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 42\/781 smaller than 68?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-7 - 14)\/(1\/(-1)). Suppose -k - 2 = 4*j, -3*j + k + k = -4. Let b be -1*(-4)\/16 - j. Which is smaller: b or y?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o = -29 - 125. What is the least common multiple of 3 and o?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-72)\/40 + -1 - 1\/5. Let u(w) = -2*w**3 - w**2 - 3*w + 3. Is u(h) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 856 and 11944?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.6 - -1.08. Let l = c + 0.08. Round l to one decimal place.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2925*t**3 - 748*t**3 - 720*t**3 - 728*t**3 - 731*t**3.\nAnswer: -2*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -368, -3, 10, 2, 5, 4.\nAnswer: -368, -3, 2, 4, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -8*s**3 + 2*s**2 - 23. What is a(3)?\nAnswer: -221","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 245*c**2 + c. Let l be u(1). Let a = l - 102. Does 19 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1449*h = -552935 + 692039 for h.\nAnswer: -96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**3 + 6*i**2 + 5*i - 2. Let g(n) = n**3 - 6*n**2 - 6*n + 2. Let k(b) = -5*a(b) - 4*g(b). Determine k(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 18.2327 to 0 decimal places.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13 - -14. Let l be 3\/6*168\/(-112). Which is the smallest value? (a) l (b) o (c) 0 (d) -3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in -1\/6, 8\/5, -2?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 13 + 33?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**2 + 3*y + 3. Let j(n) = 3*n**2 - 11*n - 9. Give -7*a(i) - 2*j(i).\nAnswer: i**2 + i - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - (26 + 14 + -38)) + (3 - -35)?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 197.39 + -194. Let z = o - 3.19. Let p be (-10)\/4*12\/(-135). Which is the nearest to 0.1? (a) z (b) p (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 298*m - 58014 = 884*m for m.\nAnswer: -99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**2 + 3*t. Let n be i(-4). Suppose 2*j - n = 6*j. Let m(g) = 8*g + 5. Let h(x) = x + 1. Determine j*m(b) + 6*h(b).\nAnswer: -2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes before 12:37 PM?\nAnswer: 4:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the first derivative of 2*w**3 + 17. Let n(f) = -2*f**2. What is n(t(g))?\nAnswer: -72*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (10 - (-19573)\/(-2070)) + 36\/(-81). Suppose 7\/5 - z*y**2 + 1\/2*y = 0. Calculate y.\nAnswer: -2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3 + -1 + 2 + 0. Solve -10 = 2*q, 5*i - i - y*q = 4 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (460 + -456)*2008202\/8 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**2. Let m = -268 - -422. Let t(q) = 218*q**2 + 2 - m*q**2 - 2. Give o(t(x)).\nAnswer: 4096*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is a9dc93 (base 14) in base 11?\nAnswer: 32861a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 + (27 - -21) + -9.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1191.\nAnswer: 3, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/14181 bigger than 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -3 + 10 + 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m**5\/10 + 16491*m**4\/10 + 32979*m**3\/10 + 16489*m**2\/10 = 0. Calculate m.\nAnswer: -16489, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*b**3 + 32*b**4 + 6 - 87*b**2 - 2 + 84*b**2 - 4*b**4 + 14*b**4 to the form m*b**2 + p*b**3 + t*b**4 + r + j*b and give t.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a litre in millilitres?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14*d**6 + 130150*d**3 + d**2 + 784458 wrt d?\nAnswer: 1680*d**3 + 780900","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -129425 - -247781\/2. Let s = -49861\/9 - f. Calculate the common denominator of -33\/10 and s.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**2 - 22*w + 13. Give h(-11).\nAnswer: 134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -119, -223, -327, -431, -535?\nAnswer: -639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1080 by 6.\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 192 and 72.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 1. Let m(c) = -c**2 + c - 14. Let o(p) = -m(p) - 5*q(p). What is the units digit of o(0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a gram in milligrams?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the third derivative of m**6\/120 + m**5\/12 + m**4\/6 + m**3\/6 + 9*m**2. Is x(5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -357, -0.09, 1\/3, 371\/2 in decreasing order.\nAnswer: 371\/2, 1\/3, -0.09, -0.5, -357","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/24*-2)\/(21\/9)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1195*x**3 - 600*x**3 + 16*x**2 - 593*x**3 - 1185 wrt x.\nAnswer: 6*x**2 + 32*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -22*n**4\/9 - 1036*n**3 - 175096*n**2\/9 + 47024*n - 71104\/9 = 0. What is n?\nAnswer: -404, -22, 2\/11, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2\/51)*h)**(-36) assuming h is positive.\nAnswer: h**(-588\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3*(1 + 0) + 1. Suppose 5*n = -3*z - 104, -t*z + 46 = 4*n + 134. Let k = -11 - n. Calculate the remainder when 23 is divided by k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1000879\/1022 - -6855\/7. What is the common denominator of r and -45\/98?\nAnswer: 7154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 72 and 1641?\nAnswer: 39384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -74 + -10. What is the units digit of f\/(-5) + 2\/10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g + 3 + 1. Let j = -8 + -38. Let p = 46.1 + j. Which is the closest to 2\/7? (a) p (b) 4\/5 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**2 + 52*y + 1. Let j be d(0). Let t(v) = 48*v + 1. Calculate t(j).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5729 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1963, 4012, 6061, 8110?\n\"Answer: 2049*x - 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -31885824 or -31885825?\nAnswer: -31885825","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/16 + (-6856)\/(-64). Let x = r - 97. What is the highest common factor of 5 and x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 625588 and 3422.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 221\/91 + (-6)\/(-14)*-1. Let u be t - 0\/(2\/(-3)*3). Let r = 3 + -3. Sort -2, -3, r, u in decreasing order.\nAnswer: u, r, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -1 (b) 0.2 (c) 63 (d) 3266\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -9*z**2. Suppose -2*c + 26 = 4*s - 2*s, 0 = -5*c + 5*s + 65. Let a(g) = -2*g - c*g + 17*g. Calculate x(a(p)).\nAnswer: -36*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the second derivative of 0*m**2 - m - 1\/30*m**6 + 0*m**4 + 0 - 1\/20*m**5 + 0*m**3. Find v, given that x(v) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14.418 - -14.6. Let w = -0.103 + s. Round w to 2 dps.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2403*w = -2328*w - 150 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -a + 27 - 31 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**2\/2 + 347*r - 120409\/2.\nAnswer: -(r - 347)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 1 + 44 + -44 + 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2\/5, -2, 3\/10?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 115138047.\nAnswer: 3, 43, 191, 4673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8052.1 - -8052. Let l(m) = m**2 - 6*m + 1. Let i be l(6). Which is the closest to i? (a) 2\/9 (b) j (c) 3 (d) -3.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*y**3 - 64*y**3 - 46*y**3 - 44*y**3 + 225*y**3.\nAnswer: 26*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1390 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -96 + 100. Solve 5*r = -w*b + 5*b + 10, 3*b + 15 = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9227590 to the nearest integer?\nAnswer: 3038","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 + (0\/3 - 3). Let r(h) = 36*h**2 - h. Does 16 divide r(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(76)\/sqrt(4)*1 + 4.\nAnswer: 4 + sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a and 1 i when four letters picked without replacement from {j: 4, a: 3, i: 4}?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 299419156.\nAnswer: 2, 74854789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**2\/15 - 4*p\/15 + 2\/15.\nAnswer: 2*(p - 1)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5208*i**2 + 10*i - 656 wrt i.\nAnswer: 10416","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**2 + 6*d - 3. Let m be v(7). Let i = -3 - m. Let y be 2\/(-1) - (i + -8). Put y, -2\/13, 1\/6 in increasing order.\nAnswer: y, -2\/13, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50\/4 - (-7491)\/(-1362)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let y be -9*(-7)\/63*10. Calculate the greatest common factor of y and 670.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 64 - 84 = 0. Suppose f - j = 2*u - 3*u, 0 = 5*f + u - 21. Solve 8 = x + f for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 14*b - 27. Is 11 a factor of h(9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i = -5*z + 35, 5*z + 0*i = -5*i - 35 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 - 30a03156?\nAnswer: -30a03151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 11919278 a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3028 and 2.\nAnswer: -6056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 12*i**2 - 2*i - 4*i**2 - 1 + i**2. Let n be z(-1). Let p(q) = -4 - 4 - 1 + 5 + q**3 + q - 9 - 10*q**2. Give p(n).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/6, 0.4, 0 in increasing order.\nAnswer: 0, 0.4, 5\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*u = 6*u - 18. Let y = u + 18. Let w = 355 + -333. Calculate the remainder when w is divided by y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -837*r + 0 + 908*r + 0 in the form h + o*r and give o.\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -270 + 275. Sort o, 11, 0.\nAnswer: 0, o, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*m - 9*m + 402 + m**3 + 6*m.\nAnswer: m**3 - m + 402","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 + 1.5. Suppose 12*y = 4*u + 8*y + 36, 2*u + 33 = 5*y. Which is the closest to 2\/11? (a) u (b) 1 (c) g (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**3 - 7*n**2 - 3*n - 2. What is f(-5)?\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 128664233981 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-618)\/42 - -15)\/((-1)\/(-7)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-2)*14\/7*2\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000515334 rounded to 6 decimal places?\nAnswer: -0.000515","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 3\/331 (b) 1\/3 (c) 0.5 (d) -8\/9 (e) -6 (f) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15253114 (base 6) to base 7.\nAnswer: -4361341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 26964 and 3874752.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60191 = -13*t - 60035. Solve t*a = 80*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1288*a + 104*a - 5142*a - 6259*a to the form y + s*a and give s.\nAnswer: -10009","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 2\/15, -4, 1\/1416?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -2*n + 2, -5*d - 3 + 6 = 3*n. Suppose -q - 8 = -2*h - 2, -5*h = q - 22. Let l be q - ((-896)\/114)\/(-4). Do n and l have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/5 of a millennium in months?\nAnswer: 79200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes after 11:37 AM?\nAnswer: 1:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 339560 is divided by 4091?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.0529 - 0.2471. Sort -5, -1\/12, 0.2, w in increasing order.\nAnswer: -5, w, -1\/12, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4637 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 15 (b) -3 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = h + 10 - 8 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12336.5 + -12342.4979. Let c = 6 + u. What is c rounded to three decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(40) + sqrt(320)\/sqrt(72))\/(2*sqrt(16)\/sqrt(2) + sqrt(8)) + 4)*-3)**2.\nAnswer: 32*sqrt(5) + 1376\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -444, -545, -646, -747, -848, -949?\nAnswer: -1050","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = 0, 3*y + 4*k - 8 = -2. Suppose 4*g - 5*p + 3 = -4, -y*g - 2 = -2*p. Suppose -38 = -4*i - g*q, -4*i + 4*q + 31 = 11. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-130) + -4*2736\/152880?\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 84 divided by 6.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*d + 5 = -7, -159*t - 54 = -155*t - d for t.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**2 + 3*h + 3. Give r(3).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -29*x**2 + 715*x - 4619. Let r(a) = -9*a**2 + 250*a - 1540. Let t(l) = -4*h(l) + 13*r(l). Suppose t(w) = 0. Calculate w.\nAnswer: 4, 386","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a*a**(-21\/5))\/a**(2\/21)*(a**(-2\/87)*a)\/(((a\/a**(-2\/67))\/a*a)\/a))**(-2\/39) assuming a is positive.\nAnswer: a**(14104\/204015)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, 34, 0, 3 in descending order.\nAnswer: 34, 3, 2\/5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 4*j - 1794 = 6*j, 5*j = 3*d - 1335. What is the smallest common multiple of 18 and ((-33)\/(-15) - 1)\/(18\/d)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4487808 by -496.\nAnswer: -9048","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -31.047 + 30.647. What is the biggest value in w, 39, -3, -5?\nAnswer: 39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3\/32 of a millimeter?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4718148260 + -4718150706.6380076. Let w = 2446.68 + o. Let k = 0.042 - w. Round k to 6 decimal places.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 525016 and 3133160.\nAnswer: 97127960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(17) - -3*sqrt(1088) - sqrt(51)\/(sqrt(3) + sqrt(12)\/sqrt(4))) + -2*sqrt(17)*-1 + -5 + 4)**2.\nAnswer: -53*sqrt(17) + 47757\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1, -3, 20, -1418, -53 in increasing order.\nAnswer: -1418, -53, -3, -2, -1, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = 5*k - 2. Let p(m) = 4*m**3 - 5*m**2 - 5*m - 1. Let n(j) = -3*j**3 + 4*j**2 + 4*j. Let c(t) = k*n(t) - 4*p(t). What is the units digit of c(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 10*j**3*q + 5*j**3 - q + 14 wrt j?\nAnswer: 30*j**2*q + 15*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 28504184?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.4 plus 223.8?\nAnswer: 221.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rt when two letters picked without replacement from gtggrrtgmrlgttrr?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/2)\/((-2)\/(-4))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**2 + 5*j - 4. Let l be q(-5). Let c(o) = -15 - 6*o - o**2 + 5 + 7. What is c(l)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 577322 (base 12) to base 15\nAnswer: 1ca57b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6716.000012548 - 6716. What is g rounded to six decimal places?\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 10, 0.5, 10\/9 in decreasing order.\nAnswer: 10, 3, 10\/9, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 + -12102111?\nAnswer: -12102101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sum -19.4 and -29.\nAnswer: -48.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 0 + 0 - 166*g**5 + 29*g + 145*g**5 wrt g?\nAnswer: -420*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001001100010 + 1?\nAnswer: -1001001100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -3*s + 10, t - s = 0. Let f = -6 + t. Is (23 + 0 + f)*1 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the first derivative of -2*x**3\/3 + 7. Suppose g = 3*i - 22, -3*i - 5*g + 8 = -8. Let d(m) = -12*m - 7 + 0 + i. Determine d(j(u)).\nAnswer: 24*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:02 PM and 2:54 PM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 + 21)*(-2 + 4). Let b = -40 + a. Suppose -4*m + 2*i + 42 = -b*m, -48 = -4*m + 4*i. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 206279 is divided by 68757.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 118 is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -383*z**3 - 391?\nAnswer: -1149*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:52 AM and 1:48 PM?\nAnswer: 356","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Factor 6*a**3 - 122*a**2 - 6564*a - 4320.\nAnswer: 2*(a - 45)*(a + 24)*(3*a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -228798 divided by 5?\nAnswer: -228798\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 2*g + 2*v + 155 = 0, 51 = 2*g - 3*v. Calculate the lowest common multiple of 42 and g.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(-5\/3))**(2\/5)\/(q\/(q*q\/q**(2\/23)))**(2\/11) assuming q is positive.\nAnswer: q**(-382\/3795)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15 - 12. Let t be (-1)\/((-2)\/n)*800\/75. What is the greatest common divisor of 8 and t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 2, p: 4, s: 1, q: 1, l: 2, t: 2}. Give prob of picking 1 p, 1 l, 1 t, and 1 s.\nAnswer: 16\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12772 - 12761. Sort 2, -1, -2, -5, h.\nAnswer: -5, -2, -1, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**3 - 8*x**2 + 10*x - 3. Let f(r) = 3*r - 16. Let i be f(9). Suppose -13*p = -i*p - 14. Calculate the least common multiple of 18 and v(p).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7667190 divided by 1\nAnswer: 7667190","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 2*z**3 - 3*z**2 + 2*z - 8. Suppose x = -2*k + 6, -8 = -3*k - 2*x - 0. List the prime factors of s(k).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 63 + 2 = -5*p, -2*p + 29 = 5*c. Is (-5 + 11)*2*3\/p a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 769\/18 + -247\/6. Are 0.1 and v non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -143\/60 and -41\/186.\nAnswer: 1860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the third derivative of -l**7\/630 + l**6\/360 + l**5\/60 + 2*l**2. Let r(b) be the third derivative of c(b). Find the first derivative of r(s) wrt s.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8.021 + -8.5. Let u = j - 3.521. Sort u, -5, 80 in ascending order.\nAnswer: -5, u, 80","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 52192?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 15*o + 45. Let x(y) = 7*y + 20. Let g(j) = 4*t(j) - 9*x(j). Let k(f) = -7*f**2 + 6*f. What is g(k(c))?\nAnswer: 21*c**2 - 18*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*j + 4*j - 7 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -5, -6, -7, -8, -9?\n\"Answer: -v - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2096*s**2 + 1721*s.\nAnswer: -4192","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/8*52\/39)\/(-3*3)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1222 (base 4) in base 15?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 1095 = 5*c, 5*c - 2*h - 2*h = -1060. Let l = -333 - c. Let t = l + 215. List the prime factors of t.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*i**5 + 16*i**4 - 44*i**3 + 24*i**2.\nAnswer: 4*i**2*(i - 1)**2*(i + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 446275?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 341?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 6521 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v - 13 - 2. Let z be 1\/v + (-231)\/(-55). Suppose x = -3 + 8. Solve 5*w + 4*k + x = -0, 0 = z*w - 3*k + 4 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7388*s**3*x**2 - 7*s**3*x + 95*s*x wrt x?\nAnswer: 14776*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 4*o - 689 = 0, 3*o = -18 + 6. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i - j - 2*j + 16, 4*j - 20 = -4*i. Let f = i - -3. Suppose -h = -f*h + 198. What are the prime factors of h?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 69\/4 - 17. Let g = -93657 + 1029346\/11. Let v = g + 80. Sort 5, m, v in decreasing order.\nAnswer: 5, m, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1223772?\nAnswer: 2, 3, 11, 73, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 397\/1344 - -5\/192. Calculate the common denominator of -88\/63 and l.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11000 + 110111000010001101?\nAnswer: 110111000001110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 - 18 = -6*o. Suppose -o*d = -5*d + 2*l + 7, 2*d = 2*l + 4. Let y = -8 - -12. Sort y, 5, d in decreasing order.\nAnswer: 5, y, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000001556 to six dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -224*d**2 - 209*d**2 + 387*d**2.\nAnswer: -46*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 349715566 to the nearest integer?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1184136.\nAnswer: 2, 3, 49339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5628 = -1768*t + 1444 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.04? (a) 1\/5 (b) -1\/5 (c) -0.22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 214 (base 7) to base 12\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 11, 13 in decreasing order.\nAnswer: 13, 11, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 23, -2, -53, -130?\n\"Answer: -13*j**2 + 14*j + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 208 and 156?\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.13 in 5, 1.7, -0.371, 1\/2?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -117650667*c**3 - 161*c**2 + 7*c - 3196 wrt c?\nAnswer: -705904002","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1610 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-209)\/21 - (56913\/(-549) - -101).\nAnswer: -51\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the second derivative of l**7\/2520 - l**6\/90 - l**5\/20 + l**4\/4 - 4*l. Let k(i) be the third derivative of a(i). Does 3 divide k(9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 104.04 + -108. Let p = f + 4. Let b = p + -0.54. Sort b, 0.3, -2.\nAnswer: -2, b, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.7014 - -6.261?\nAnswer: 14.9624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -287*a**2 + 2731*a - 2731. Give l(1).\nAnswer: -287","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 11*v - 12. Let c(i) = 21*i**2 - 3*i - 1. Let q be c(1). Is k(q) a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -24.2 and -10.8?\nAnswer: 261.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times -1652\nAnswer: -826","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t. Let z(q) = 2*q**2 - 8*q - 69. Give k(z(o)).\nAnswer: -2*o**2 + 8*o + 69","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -333216 at least -333217?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 59.71 + -59. Let r = 3.71 - a. Put -0.1, 0.2, r, -1 in descending order.\nAnswer: r, 0.2, -0.1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**2 - 10*l - 13. Let m be s(-9). Let j(t) = 2*t - 3. Let z = -1 + 1. Let h(w) = -6 + 3*w + 2 + z. Give m*j(d) + 3*h(d).\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 46886 plus -17.78?\nAnswer: 46868.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 34*o**4 + 3*o + 333.\nAnswer: 136*o**3 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -475*i + 261*i + 119 + 223*i in the form m*i + w and give w.\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52*h**3 + 44*h**3 - 106*h**3.\nAnswer: -10*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1328 and 2656.\nAnswer: 2656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**2 - 11*k + 16. Let p(z) = 2*z**2 + 23*z - 33. Let t(q) = -9*i(q) - 4*p(q). Let g be t(4). What is the greatest common divisor of g and 48?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36719202.\nAnswer: 2, 3, 13, 409, 1151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a millennium in decades?\nAnswer: 850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 155, 400, 743, 1184, 1723, 2360, 3095?\n\"Answer: 49*t**2 + 98*t + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/(-21) - 325\/(-182). Which is the second biggest value? (a) -1 (b) k (c) 13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 95 + -90 - 0\/(-1)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10 + o**2 - 104*o - 3 - 20*o**2 + 102*o to the form t + n*o**2 + w*o and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1)\/(v*v**(1\/2)*v*v))**(-25) assuming v is positive.\nAnswer: v**(225\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, -56, -3, 113 in descending order.\nAnswer: 113, 12, -3, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/3, 0.4, 81, 2\/17 in descending order.\nAnswer: 81, 0.4, 2\/17, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes before 5:42 AM?\nAnswer: 12:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**2 + 16791*n - 5258736.\nAnswer: -3*(n - 5264)*(n - 333)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -10000111000100000110110 (base 2) to base 15\nAnswer: -5c6522","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17809 + -18669.7. What is x rounded to the nearest ten?\nAnswer: -860","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64*s**2 + 2716*s - 2716*s.\nAnswer: -64*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7\/3, -1\/3, 3, -2\/11 in ascending order.\nAnswer: -7\/3, -1\/3, -2\/11, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 54 and 9540?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*h**2 - h**2 + 6*h**2 + (0 + 0 + h)*(2*h - 2 + 2) + (h**2 - h**2 - h**2)*(-2 + 0 - 1) - 2 + 2*h**2 + 2 + (-4*h + 3*h + 3*h)*(2*h + 3*h - 3*h).\nAnswer: 14*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -2396763 (base 10) in base 6?\nAnswer: -123212043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -5 (b) 0.07 (c) -659 (d) -86 (e) -0.2 (f) 0.4 (g) -1\/7\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3214239081 to the power of 1\/3, to the nearest integer?\nAnswer: 1476","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 5 = -3*k. Suppose 0 = -4*q + k*q - 13. Does 6 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**3 - 5*q**2 + q - 5. Let y(t) = 2*t**3 - 11*t**2 + 2*t - 11. Let p(h) = 7*s(h) - 3*y(h). Let j be p(0). Put j, 4, 0, -5 in decreasing order.\nAnswer: 4, 0, j, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(80) - (sqrt(80) + (sqrt(80) - (sqrt(80) + sqrt(80)*2)*-2))) + -4 + 3 + 1*1*sqrt(80))**2.\nAnswer: 48*sqrt(5) + 2881","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1*(3 + 0\/4). Suppose g - 24961 = x*n + 23037, -5*g = -n - 15990. What is n rounded to the nearest 10000?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5 - -0.6156.\nAnswer: 0.1156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.348 - -0.448. Let h = 272 + -1364\/5. What is the nearest to -2\/5 in 2\/11, s, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 3717?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 3*q**3 + 2. Let k(a) = -30*a**3 - 3*a - 18. Let t(d) = -60*d**3 - 5*d - 37. Let c(n) = -5*k(n) + 3*t(n). What is -6*c(i) - 63*f(i)?\nAnswer: -9*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the first derivative of l**8\/336 + l**7\/42 + l**6\/20 - l**5\/15 - l**4\/3 + 13*l**2\/2 + 17. Let j(p) be the second derivative of f(p). Factor j(r).\nAnswer: r*(r - 1)*(r + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + 2*s = -38, 3*s - 143562 = -5*p - 143612 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a - 7*f + 18 = 2*a, -16*a + 15*a - 5*f = 5*a + 6 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 4)*(8*t - 10*t - 2 - 2)*(-51 + 64 + 114).\nAnswer: 508*t + 1016","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 89.4846 to one decimal place.\nAnswer: 89.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -138\/119 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13267, 13264, 13259, 13252?\nAnswer: 13243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1211020 (base 4) in base 5?\nAnswer: -201342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 12*k**5 + 100*k**4 + 92*k**3 - 580*k**2 - 200*k = 0.\nAnswer: -5, -1\/3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 788.0782 - 788. Round n to 2 dps.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 + 29 + -35 + 6?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -114 divided by 2?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 31\/2 of a decade?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -184 + 51 + 80 + 20*q + 88 to m + f*q and give f.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 80 - 72. What is the closest to 0 in 5, -4, h?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (1 + 2 - 7)*-42?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1220?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -19*h - 6. Let p(v) = 4275*v + 1083. Let t(w) = -865*w - 217. Let d(a) = 4*p(a) + 19*t(a). What is -6*d(s) - 209*g(s)?\nAnswer: -19*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 149381 is divided by 49298?\nAnswer: 1487","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000278605382 rounded to seven decimal places?\nAnswer: 0.0000279","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.211600504 to two dps.\nAnswer: -0.21","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/6 + 3)*3\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, o: 1, n: 3, w: 2, m: 3, k: 1}. Give prob of picking 1 n and 2 w.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -2*k**2. Let i(y) = y**2 - 10435. What is i(u(p))?\nAnswer: 4*p**4 - 10435","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 471 = -71*s - 807 for s.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 - 33\/6)\/(7\/42). Let f be h\/12 - -2 - 26\/24. Sort 0.01, f, 1 in decreasing order.\nAnswer: 1, 0.01, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-10)\/(-54))\/(24\/144). Let 4\/9*l**2 + i*l**3 + 0 + 0*l = 0. Calculate l.\nAnswer: -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3201 + -3200.978696. Let t = 0.0199 - g. What is t rounded to 4 dps?\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3626 + 1235. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**3 + 6*n**2 + 8*n + 6. Let m be p(-5). Suppose -46 = -5*a + 3*q, -36 = -3*a - 2*q + q. Let l = a + m. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.04054071 and -421.\nAnswer: -420.95945929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 115 = -b + 842, 2*b = -3*x - 559. Does 32 divide (x\/(-2))\/(3\/(-56)*-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1651540028 to the power of 1\/2, to the nearest integer?\nAnswer: 40639","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 22*g + 1096. Let f be a(14). What is the highest common divisor of f and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9, 37, 77, 123, 169, 209?\nAnswer: 237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hwu when three letters picked without replacement from {n: 4, w: 2, u: 1, h: 2, m: 7}.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 4*a = -2*a - 16, -9 = -3*g + 2*a. Suppose 3*p = -g*y + 7, -p = -5*p - y + 15. Suppose p*o = o + 6. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.13997 to 2 decimal places.\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 956579.\nAnswer: 13, 73583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**23)\/(c*((c**(-22)*c)\/c)\/c)*c*c**(-5)\/c*c**(-12))**(6\/35) assuming c is positive.\nAnswer: c**(-102\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.5, -7\/38, 28?\nAnswer: -7\/38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 3*g**2 + 611*g - 14788. Determine m(22).\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**0\/y**(-2)*y**(-2\/3)*y*y*((y\/(y**(-1\/3)\/y))\/y)\/y)**3 assuming y is positive.\nAnswer: y**11","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4411 (base 8) to base 16.\nAnswer: 909","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 2*q**4\/9 + 2420*q**3\/9 + 653186*q**2\/9 - 15904240*q\/3 + 86382368 = 0.\nAnswer: -636, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 92 and 18166481?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.1 - -1.1. Suppose -3*z - 5*j = -4*z, 3*z = -2*j + 17. Suppose -14 = k + 4*u - 0, k + 18 = -5*u. Which is the nearest to r? (a) k (b) 0.4 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 128764397 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2734132 a multiple of 1427?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 90848 to the power of 1\/4, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 16962?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3127365 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8015, 8027, 8039?\nAnswer: 8051","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2515681656?\nAnswer: 2, 3, 71, 492113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(19)*-4)**2 + ((sqrt(1216) - (-4 + sqrt(1216) - sqrt(1216))) + sqrt(1216) + sqrt(1216) + sqrt(19) - sqrt(19)).\nAnswer: 24*sqrt(19) + 4868","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 474 is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 + 11. Suppose -g = 3*c - 36, 204*c + 138 = 6*g + 209*c. What is the remainder when g is divided by d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2401748 and 3074?\nAnswer: 69650692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - -7376.5.\nAnswer: 7381.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 13\/4 of a millennium?\nAnswer: 39000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 + 1\/((-5)\/(-15)). Suppose 5*b - 720141 = 2*m, -b + w*m + 2*m = -144042. Let y = 206027 - b. Round y to the nearest 10000.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1194.897 - 1197. Let s = -0.103 - c. What is the third biggest value in 8, -1, s?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s - 35*d + 219 = 0, -3*s = -2*d + 1033 - 1030 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(252) + -2)*-6)**2.\nAnswer: -1152*sqrt(7) + 9328","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2184\/35 + (1 - 27\/15)*(-25)\/(-50)?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**2 + b - 1. Let s(d) = -d**3 - d**2 - 6*d + 7. Let y(f) = -s(f) - 5*t(f). Let x be y(4). Let 6 + 2\/3*l**x + 4*l = 0. Calculate l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3656 - -3661. Solve -4*a + 20 = -0*d - 2*d, -a + 3*d = -m for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -33557701*f**2 + 9*f + 491418?\nAnswer: -67115402","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**3 - 22*l**2 - 3*l - 56. Let q be h(-22). Solve -6*j + j - q = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**13\/((r**(2\/3)\/r)\/r)*(r*(r*r\/(r\/(r**(-2\/15)*r))*r*r)\/r)\/((r*r*r**(3\/5))\/r*r) assuming r is positive.\nAnswer: r**(78\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*v - 42*v = -41*v - 1100579. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -23 + 27. What is the highest common factor of 8 and k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6\/11 + -29\/33. Let q = 4 + -1. Let s be q\/3 - (-1 - -1). What is the smallest value in g, s, 0.4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54281168543 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/9*-183)\/1*(-168)\/(-504)\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10 + 6. Let n(d) = d. Give n(q).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -3*x - 29, 1 = 3*k - 3*x - 41. Factor -21\/2*u + 11 - 1\/2*u**k.\nAnswer: -(u - 1)*(u + 22)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 96, 89, 78, 63, 44, 21?\n\"Answer: -2*p**2 - p + 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 8\/(-6)*(-216)\/(-16). Let a = 103 - x. Factor 16 - 13*c**3 + a*c**2 - 72*c - 71*c**3 - 3*c**3 - 3*c**3 + 25*c**4.\nAnswer: (c - 1)**2*(5*c - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 58*g**5*o - 6*g**4*o + 37*g**3*o + 104026*g**2*o wrt g?\nAnswer: 3480*g**2*o - 144*g*o + 222*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -124*z + 1 - 208*z + 117*z to the form q*z + b and give q.\nAnswer: -215","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from llladldhmahmmllnhl.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000072888413 rounded to seven decimal places?\nAnswer: -0.0000729","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 163783200.\nAnswer: 2, 3, 5, 7, 9749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-40 - 56 + 75)*(-4*n + 4*n + 20*n**2) as t + h*n + o*n**2 and give o.\nAnswer: -420","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 654416.34 rounded to the nearest one hundred?\nAnswer: 654400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f\/(f\/((f*(f**(3\/4)*f)\/f)\/f*f)))\/f**10)\/(f**(2\/11)*f**(-1\/2)) assuming f is positive.\nAnswer: f**(-305\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes after 5:05 PM?\nAnswer: 4:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21 + -25 - (-6 - 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2875 and 4557795?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1101 (base 3) to base 13\nAnswer: 2b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -7*30\/(-8)*37\/((-20202)\/(-26))\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.104 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 389\nAnswer: 1\/389","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 71.5132 * 0.3\nAnswer: 21.45396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d - 41 = 5*c, 12*c - 8*c + 2*d = -12 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 163?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the second derivative of z**4\/2 + 5*z**3\/6 + z**2\/2 - 6*z. What is the units digit of i(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5412.15 to the nearest one thousand.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 - -3 - (-3 - ((-6 - -5) + -6))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*s - 4*s + 4*h + 32 = 0, s = -4*h - 12 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.04616*3\nAnswer: 0.13848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -402+-1426417.036\nAnswer: -1426819.036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/(128\/16 - 21\/(1 - -2)). Let r = -2\/91 - -281\/364. What is the third biggest value in r, a, 7\/6?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-52)*(-24)\/(-6). What is the third biggest value in o, 1\/2, 1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1128 and 42112.\nAnswer: 126336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange u**2 + u**3 - 667*u**4 - 667*u**4 + 1336*u**4 - 2*u**2 - 2*u + 1 to the form v + p*u + h*u**2 + n*u**3 + x*u**4 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes after 4:10 PM?\nAnswer: 6:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 72*l**2 - 795*l + 33 = 0. What is l?\nAnswer: 1\/24, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wfrrrswref. What is prob of picking 2 r and 2 w?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00983162982 rounded to 5 dps?\nAnswer: -0.00983","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/13967328 and -67\/40.\nAnswer: 69836640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3872.628l?\nAnswer: 3872628","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 3*v + 6 = -0*v, -4*m - 4*v = 0. Let k(l) = 5 + 2*l + 3 - 2 - 2 + 8. What is the remainder when 22 is divided by k(m)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -2246*w + 4872. What is the tens digit of k(-7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-15\/2)\/d**(-24)*d**(-9\/4)*d\/d**12)**(1\/18) assuming d is positive.\nAnswer: d**(13\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15\/130)\/1*20\/15?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 468066 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001742591 to six dps.\nAnswer: 0.000174","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 342, 349, 370, 411, 478, 577?\nAnswer: 714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 11 = 2*o - 1, -2*l = o - 7. Let x be (-6)\/(-2) - (2 - l). Calculate the highest common factor of x and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -6 - 2*a**2 - 4*a + 5 - 2*a**3 + 2*a. What is m(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 238908 is divided by 445.\nAnswer: 388","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 1615*k - 3 - 517*k.\nAnswer: 1098*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**2 + 9033332*i - 10200135877778.\nAnswer: -2*(i - 2258333)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -2*z**2 - 879158*z + 15825492 = 0.\nAnswer: -439597, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 348 to the power of 1\/2, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 663337 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-11 - -11) + (-1 - -1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:19 AM and 10:55 AM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 68\/1851075 and 46\/15?\nAnswer: 1851075","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -a**3 - 15*a**2 + 0*a**2 + 57 - 17 + 30*a - 4*a**3 = 0. Calculate a.\nAnswer: -4, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-30)\/(-25)*2965\/(-55149)?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -21390271584*a**4 - 7126508048*a**3 + 1194010*a**2 - 50*a = 0.\nAnswer: -1\/3, 0, 5\/59708","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 308612?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 128650 and 0?\nAnswer: 128650","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minus -15.8399?\nAnswer: 21.8399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 4, d: 3, t: 4, k: 7}. Give prob of picking 2 k.\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (105 - 115) + (3 - 1) - 9.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 28*b - 100. Let y(j) = 41*j - 114. Let f be y(3). Let c be i(f). Calculate the greatest common divisor of c and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**2 - 6*s + 10. What is q(8)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 46 + -45.05. Let n = -1.2 + f. Round n to one dp.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 93888 to the nearest 10000.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*y**2\/13 - 5230*y\/13 + 5232\/13 = 0. What is y?\nAnswer: -2616, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 37298*t - 77041 with respect to t.\nAnswer: 37298","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 1 + (6 - -2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-22306)\/1292*1*2547\/6. Let q = o - -7329. Is q at most as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 39471003 + 2?\nAnswer: 39471005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 1386095 to the nearest one thousand.\nAnswer: 1386000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 13*n**2 - 3*n - 6. Let c(m) = 3*m**3 + m + 2. Let s be c(-1). List the prime factors of d(s).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -2*t**2 + 41*t + 13. Give z(16).\nAnswer: 157","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1169772743 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -4 + 3 - (-4686)\/(-9). Let l = w - -514. Let o = -8 - l. Which is the smallest value? (a) 3 (b) o (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*l**5\/3 - 58*l**4\/3 - 256*l**3\/3 - 392*l**2\/3 - 64*l = 0. What is l?\nAnswer: -24, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 3*d + 10*d - 12*d + 8*d + 15*d. Let p(z) be the third derivative of z**5\/60 - 2*z**2. What is a(p(i))?\nAnswer: 24*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 - -3. Suppose 0 = 2*a + 7 - 29. Let i = a - s. Solve o - i*o = 2 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -131133323 - -10?\nAnswer: -131133313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve p**4\/4 + 300*p**3 - 188941*p**2\/2 - 300*p + 377881\/4 = 0.\nAnswer: -1459, -1, 1, 259","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 2*x - 132 = -5*t, 100 = 3*t - 4*x. Let i = -20 + t. Is i > 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 365.06 - 362. Let v = -0.06 + z. What is the nearest to -1\/2 in -5, v, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5, 4, -8.\nAnswer: -8, -5, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - 5 = -4*o, -9*d - 7618*o - 5 = -7616*o for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4425 divided by -4?\nAnswer: -4425\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 319871 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 119807 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 - 11. What is the third smallest value in -1\/4, -0.2, t?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (3\/(-6))\/(5\/(-230)) is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1216361 is divided by 5658.\nAnswer: 5549","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the first derivative of -6*n - 1 + 7\/2*n**2. Find the first derivative of s(c) wrt c.\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bjjjjjgpbjjjssppc. Give prob of picking 1 b, 2 j, and 1 g.\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 539 + -3187\/6. Let y = 215479\/8450 - 2\/4225. Find the common denominator of y and p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 9*b**2 + 16*b. Suppose 5*y - 57 = -177. Let o = 25 + y. Let x(v) = -v**2. Let j(s) = o*n(s) + 6*x(s). What is the second derivative of j(a) wrt a?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express o + 2*o - o + 0*o - 2*o + o + (2 + 1 - 1)*(-1 + 1 + o) + 2*o - 3*o - o + o + 0 + 0 + 8*o - 1 - 19*o + 7*o as n + k*o and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 99 + 90. What is the smallest common multiple of x and 56?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-6)*23\/(46\/(-6)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 39445908 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**2. Let d(x) = -21*x. Determine v(d(w)).\nAnswer: 441*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 210468781, 210468782, 210468783, 210468784?\nAnswer: 210468785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 120382*f**3 - 120382*f**3 - 352*f**4 + (2*f**4 + f - f)*(-3 - 3 + 5) - 3*f**4 + 3*f**4 - 2*f**4.\nAnswer: -356*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/(l*l**(-1)\/l*l)*l)**(2\/11)\/(l\/(l*l\/l**(-1)))**(-5))**17)**50 assuming l is positive.\nAnswer: l**(-90100\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 908599300 to the power of 1\/8, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.145 - 8.845. What is j rounded to zero dps?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) 2645 (c) 3 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -17 + 20. Suppose 0 = -5*o + 6*s - r*s + 48, -2*o + s + 19 = 0. What is the remainder when o is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4150011 is divided by 5654.\nAnswer: 5629","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**2 + s - 2. Let u be t(0). Let g be 123 + 0 + u + 0. Suppose 27 = 4*j - g. Does 4 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 2*w**5 + w**4 + 4*w**3 - 4*w**2 + 48*w - 4. Let a(t) = t**4 - t**3 + t**2 + 1. Let o(g) = 4*a(g) + n(g). What is the second derivative of o(l) wrt l?\nAnswer: 40*l**3 + 60*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 4, g: 1, z: 2, l: 1, x: 3, u: 4}. What is prob of picking 2 x and 1 l?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1273?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2094 = -34*g - 666. Which is bigger: g or 34?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -8074109 and 1379.\nAnswer: -8072730","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 475*f + 9. Let p(k) = -950*k - 21. Give -5*j(w) - 2*p(w).\nAnswer: -475*w - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (43654\/(-1066) - -44) + -31 + 28?\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1, 117, 349, 703, 1185, 1801?\nAnswer: 2557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand d**2 - 3*d**2 + 3*d**2 + (-3*d - 2*d + 4*d)*(d + 0*d - 2*d) + (-1 + 0 - 1)*(-2*d**2 + 4*d**2 - 3*d**2) - 14 + 5*d**2 + 14.\nAnswer: 9*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a litre in millilitres?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -89185 * 0.2312\nAnswer: -20619.572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -10*d**2 - 7*d - 13. Let r(j) = 10*j**2 + 7*j + 14. Let x(l) = 7*k(l) + 6*r(l). Let a(q) = -6*q**2 + 3*q**2 - 2 - q - q. Determine 14*a(b) - 4*x(b).\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -10 (b) -11 (c) -2\/3 (d) 0.2 (e) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the first derivative of s**3\/27 - 167*s**2\/18 - 338*s\/9 + 38. Let k(c) = 0. What is c?\nAnswer: -2, 169","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -28a3 - -9277?\nAnswer: 6484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 50\/6 + (-3)\/9. Let y = s - -3. Calculate the common denominator of -17\/3 and (y\/(-4))\/((-3)\/12).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the third derivative of -w**6\/90 + 4*w**5\/3 - 200*w**4\/3 - 11*w**3\/3 - 40*w**2 + 2. Let o(n) be the first derivative of g(n). Factor o(f).\nAnswer: -4*(f - 20)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jssssjsssssjssssjj. Give prob of sequence jj.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + ((-49)\/(-17) - -1)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, 3\/8, 114\/7?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -30003 + -232020?\nAnswer: -322023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 58.78522972424 - 53\nAnswer: 5.78522972424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**4 - 4*q**3 - 1080*q**2 - 12636*q - 42282.\nAnswer: 2*(q - 29)*(q + 9)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 30487 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 2 k when three letters picked without replacement from kzokjjjjzkkkozjkk?\nAnswer: 21\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 2610790 * -5\nAnswer: -13053950","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 13963 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 546?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(272) + 4).\nAnswer: -4*sqrt(17) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 2*r + 8 - 2 - 5. Let l be d(-1). Let c = l - -3. Solve 3*s + 18 = -3*m, 2*s + m = c*m - 3 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*l - 8 = -2 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2735193 or 2735273?\nAnswer: 2735273","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 22*l**2 - 364*l + 358. Let u(a) = -9*a + 1. Let j(b) = -2*u(b) - y(b). Let j(s) = 0. Calculate s.\nAnswer: 1, 180\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 2732751*z**3 - 5*z**2 + 2*z + 1. Is k(1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -88222, -176693, -265164, -353635, -442106?\nAnswer: -530577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-14)\/(-12))\/(1\/3*24\/48)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (1*sqrt(7200) + sqrt(7200))*-2*-2)**2 + -4.\nAnswer: -960*sqrt(2) + 460797","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2402 or 2391?\nAnswer: 2402","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 822378 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 z, and 1 l when three letters picked without replacement from {e: 2, l: 6, v: 1, o: 3, z: 1}?\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 5*r + 53, 8 = 4*r - 5*b + 24. Let k = r - -11. Suppose u = k*u - 10. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 196*d + 12. Let i be x(1). Suppose -i*a + 198*a = -320. Calculate the smallest common multiple of 14 and a.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(1300))**2*-4.\nAnswer: -83200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-2296)\/6*(-15)\/10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22\/(-11)*(-5)\/(100\/(-70))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 56.77 - 57. Let b = 1.03 + -1.1. Let f = b + l. Is -8\/7 at most as big as f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -20863, -41747, -62631, -83515, -104399, -125283?\n\"Answer: -20884*c + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 3228?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10 - -13. Suppose 4 - 1 = 3*o. Let p(v) = -o + 13*v + i + v**2 - 17*v. Determine p(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3071 = 10*l - 8551. What is the hundreds digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13338 and 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11 + 15. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -38 + -28. Let q = -4 - -3.8. Which is the biggest value? (a) q (b) -5 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -210 = -19*r + 37*r - 33*r. Calculate the remainder when 373 is divided by r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 52\/16 + 1\/(-4)*1. Suppose 0 = 17*s - m*s - 1624. List the prime factors of s.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -216593640, -5, 3, 1.\nAnswer: -216593640, -5, -4, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.1 + 0. Let s = u + 0.2. Let l = 11714.6 - 11714. Sort l, s, -3 in ascending order.\nAnswer: -3, s, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m - m + 40 = 4*p, -5*m + 20 = -p for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 51818, 103700, 155584, 207470, 259358, 311248, 363140?\n\"Answer: b**2 + 51879*b - 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 655\/(-393)*((-2)\/(-2) - 2*-4)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1332\/518*14\/(-3)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -380450 + -979550. Round w to the nearest 100000.\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the first derivative of -i**6 - 3\/5*i**5 + 0*i + 0*i**4 - 52\/3*i**3 + 0*i**2 - 26. What is the third derivative of x(n) wrt n?\nAnswer: -360*n**2 - 72*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 477*p**2. Let o(y) = y - 30. Give o(c(m)).\nAnswer: 477*m**2 - 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.079 (b) 0.4 (c) 1 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -25, 6, 37, 68?\n\"Answer: 31*g - 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 564736.59us?\nAnswer: 0.000156871275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 - -7)*120\/28. Calculate the greatest common divisor of 12 and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -322 = -4*b + 5*b. Let j = b - -1041. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**3 + 50*l**2 - 188*l - 240.\nAnswer: -2*(l - 20)*(l - 6)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*s**4\/5 + 8*s**3\/5 - 8*s\/5 - 4\/5.\nAnswer: 4*(s - 1)*(s + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.4, -4, -6 in decreasing order.\nAnswer: 1.4, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.24, -2, -2\/7 in decreasing order.\nAnswer: -2\/7, -1.24, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -3*l + 26, 5*l + 50 = -12*b + 7*b. Sort l, 2, 1, -25 in increasing order.\nAnswer: -25, l, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 7*p**2 + 53*p. Let o(b) = -4943*b + 3*b**2 + 4943*b + b**2. Determine d(o(g)).\nAnswer: 112*g**4 + 212*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -77\/6074 and 51\/1688572.\nAnswer: 1688572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3300811 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-81)\/(-72))\/(6\/8)*((-384)\/7848)\/4.\nAnswer: -2\/109","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -2678796 and -2678795 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1690840339 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52 = 4*u + 68, 40 = 4*o - 5*u for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*f + 2*q + 10, -3*f - 22 - 13 = 4*q for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**3 - 1626*r**2 - 59864*r + 762240.\nAnswer: -(r - 10)*(r + 48)*(r + 1588)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*z - f, -2*f - 4 = -3*z - 2. Let g = 2 - z. Let n(c) = -3*c + g*c - 3*c + 5*c. What is n(-7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -51714 by 13.\nAnswer: -3978","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmtmmtmttmttttwttt. Give prob of picking 1 t and 3 m.\nAnswer: 11\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-16 - (-3 + 7))\/1. Let z(x) = x**3 + 21*x**2 + 19*x - 28. Give z(n).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-12)*(-33)\/55?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five halves of a millennium in centuries?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) 0 (c) 3.08\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/(-3)*12\/(-9).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -698 or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 9588354143 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 + 0\/(-3 + 4). Suppose 3*d - 150 = -3*j, r*j - j + 158 = 3*d. What are the prime factors of d?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rm when two letters picked without replacement from {n: 1, y: 1, s: 3, r: 6, m: 1, x: 4}.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-1\/6)*f**28)**26)**47 assuming f is positive.\nAnswer: f**(102037\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*s**2 - 3*s**2 - 3*s**2 + (4*s - 4*s + s)*(-2*s - 5 + 5) + 494*s + 5*s**2 + 11 - 494*s.\nAnswer: -11*s**2 + 11","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssvzvvvzivvvivvivzz. What is prob of picking 1 z and 1 v?\nAnswer: 40\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.24 + 0.26. Let i = s - 0.32. Put -3, -2, i in descending order.\nAnswer: i, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g + 1. Let z(t) = -t**3 - 4*t**2 + 5*t + 2. Let u be z(-5). Let c be w(u). Suppose 0 = -c*j + 5*j - 18. What are the prime factors of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**2 + 2*v - 10. Let b(c) = -c**2 + 19*c - 24. Let s be b(18). Let t be o(s). Suppose -3*a + 19 = -t. Does 4 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59003291257 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-14*h + 14*h + h**3)*(6*h - 160 + 326 - 192)*(4 - 2 - 4) to l*h**4 + p*h**3 + y*h + m + o*h**2 and give l.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -3 + 3*c + 2 - 6 + 11 + 0*c. Let o(l) = -2*l + 35. Let g be o(0). Let b(h) = 28*h + 35. What is g*q(a) - 4*b(a)?\nAnswer: -7*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 10 = -2*c, -5*c - 6 = -3*c. What is the least common multiple of p and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 2*j + 6*j - 2 = 0, -5*j = 3*o - 11. Let q(g) = 44*g + 91. Let a be q(-2). Solve 2*t + 2*t = 8, -o = 2*i + a*t for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2*i - 1 + (2 + 2 - 6)*(0*i - 4*i + 3*i) + 4*i + 2*i - 5*i)*(-i**4 + 5*i**4 - 2*i**4) + (-152*i**2 - 2*i**2 - 49*i**2)*(-1 + i**3 + 1).\nAnswer: -201*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -278699891409.99999511 + 278699890223. Let q = b + 1187. What is q rounded to 7 dps?\nAnswer: 0.0000049","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**3 + 8*z**2 - 9*z - 3. Give h(-9).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 613382893?\nAnswer: 613382893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.211 + 0.2110133. Round b to six dps.\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 54 and 450.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0 and 5158350.\nAnswer: 5158350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(190)*2*1)\/(-2*(sqrt(1210) + -2*sqrt(1210) - sqrt(1210) - sqrt(1210))))**2.\nAnswer: 76\/1089","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 30*v**2. Let s(p) = 12*p**2. Let g(c) = 5*r(c) - 12*s(c). Let d(q) = 2*q + 2*q + 0*q. What is d(g(y))?\nAnswer: 24*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34259 is divided by 142.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 2*x**2 - 3*x + 4. Let z be j(0). Solve 0 = z*t + 5*y - 8, 3*y - 4 = -2*t - y for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b - 5*q = 4*q - 42, -65 = -25191*b + 25186*b - 5*q for b.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 3*r + 25 = -50, -80 = -3*v - 2*r. List the prime factors of v.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 356\/27 - 163\/54. Let j = -5129\/12 + 421. Find the common denominator of j and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -5*f. Let d(p) = 6*p + 4. Let v be d(-2). Let q be (-1 - -3)*(-1404)\/v. Let o(l) = -2*l - q + 351. Determine o(n(m)).\nAnswer: 10*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*-4*sqrt(68))\/(sqrt(32)\/(sqrt(48)\/sqrt(6))))**2.\nAnswer: 1088","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -233772, -467971, -702168, -936363, -1170556?\nAnswer: -1404747","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 42141503?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2892\/5 - 575. Calculate the common denominator of z and -11\/15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1907, 1867, 1803, 1715?\nAnswer: 1603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (12\/15)\/(18\/(-45))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0\/(-1)*4*(-4)\/48. Let c be 1*(-2)\/2*1*t. Let x(u) be the second derivative of -u**5\/20 + u**4\/12 + u**3\/6 - 6*u**2 - u. Calculate x(c).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24)\/(sqrt(8)*1) + (sqrt(3) + 2*sqrt(3))*-2 + -1)*-5 + ((2*sqrt(144)*-2)\/(sqrt(48)\/(sqrt(8)\/sqrt(2))))**2.\nAnswer: 25*sqrt(3) + 197","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:44 AM and 7:45 PM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 5 + 1)*(58 - 58 - 32*c) + 3*c + 2*c - 4*c)*(3*c + c + 2*c).\nAnswer: 390*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30\/(-45)*(-27)\/198.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes before 5:49 AM?\nAnswer: 11:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/6 and -149\/3096?\nAnswer: 3096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8.6 - -9. Let k = -169\/774 + -1\/258. Which is the third smallest value? (a) -0.4 (b) x (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**3 + 161*c**2 - 170*c - 1317. What is d(-162)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*l**2 - 10*l**2 - 2*l**2)*(-2 + 6 - 3) + (2*l**2 - l**2 - 2*l**2)*(-14 + 18 + 17).\nAnswer: -38*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*f - 3*f + 2*f**4 + (-5*f + 5*f - f)*(-f**2 - 2*f**2 + 5*f**2)*(1 - 1 - 3*f).\nAnswer: 8*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + -1 - (-54 + 43).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 413592660 a multiple of 3330?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*z + 15*z + 55*z + 25*z to w + n*z and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/24 + (-2 - (-1719)\/12). Let l be q\/30 - 36\/(-120). Let x(j) = 2*j - 1. Let b be x(3). Solve -b*v + 4*n = -29, l*v + n - 8 = 16 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84*i + 132*i = -173*i + 778 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**2 + 2*m + 544.\nAnswer: -2*(m - 17)*(m + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -76604 + -4113.8?\nAnswer: -80717.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 6586561 and -0.372?\nAnswer: 6586561.372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r**3\/3 - 9559*r**2\/3 - 1431160*r\/3 - 53155532\/3 = 0. Calculate r.\nAnswer: -74, 9707","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence glr when three letters picked without replacement from {g: 1, r: 1, m: 5, e: 1, l: 3}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, 0.5, -0.02, -0.2 in decreasing order.\nAnswer: 0.5, 1\/3, -0.02, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -1237*v**2 - 820*v**2 - 1006*v**2 - 1710*v**2 + 348*v**2 in the form r*v**2 + a*v + u and give r.\nAnswer: -4425","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.955 - 0.045. Let t = 0.89811 - -0.00259. Let f = t - l. Round f to 3 decimal places.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 336796794 to the nearest integer?\nAnswer: 18352","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * 68432.82.\nAnswer: 68432.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.1, -3, 6, 4, -1.\nAnswer: -3, -1, 1.1, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h - 252 = -2*z - 256, -3*z - 6 = 2*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3\/2)\/(212\/(-32) - -7). Let k(d) = -3*d + 5. Determine k(z).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 196 - 192. Suppose 4*a - 1294 = -0*a - 5*b, -m*b = 4*a - 1292. Does 34 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 316 - 305. Suppose q - 15 = -i. Solve -2*z + y + 9 = q*y, 15 = 2*z + 5*y for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 36 = 4*r, 2*r - 5*z = -r + 27. Let w(h) = h**3 - 10*h**2 + 9*h - 7. Let m be w(r). Which is the smallest value? (a) 1 (b) -2 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 88 times 0.06\nAnswer: 5.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 5 + b**3 - 3*b**3 + (0 + 0 - 2*b)*(-9*b**2 - 66*b**2 - 24*b**2).\nAnswer: 196*b**3 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -59 - -104. Suppose 0 = -4*l - 4*c + 108, 2 = l - 3*c - b. What is the remainder when 62 is divided by l?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 153512646?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 9375941299 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 85\/5 - 4 - -1. Let s = -23 + 15. Let f = l + s. Calculate the lowest common multiple of 22 and f.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -26, -46, -76, -122, -190, -286, -416, -586?\nAnswer: -802","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*c**4*k**2 - 15*c**4*k - 8*c**3*k**2 + 1181*c**2*k**2 + c**2*k wrt c.\nAnswer: 96*c*k**2 - 360*c*k - 48*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*k + 0*k - 1 - 3*k - 12 + 26 + k**2 as a*k**2 + u + z*k and give u.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 507?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, -25\/95809, 1\/5?\nAnswer: -25\/95809","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(0 - (-2)\/8). Differentiate z**4 + 3*z**4 + l + 2*z**3 - 2*z**3 wrt z.\nAnswer: 16*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 62\/496 + (-26)\/(-48). Let x = -0.2 + 0.3. Let n = 5 + -10. Sort a, x, n in descending order.\nAnswer: a, x, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8870711 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the second derivative of 3\/2*w**2 + 0 + 1\/6*w**4 + 20*w + 5\/6*w**3. Determine p(-4).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and -169.98.\nAnswer: -169.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 9 - 4 + 2 - 10 - 7*o. Give d(-2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-10)*(-90)\/69)\/(18\/6)\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 7 - 3*s + 2*s + 16*s**2 + 11*s**2. Is j(5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20 and 19652.\nAnswer: 98260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*n**2 - 8425*n + 33780.\nAnswer: -5*(n - 4)*(n + 1689)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(-14)*(-11)\/(990\/35).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-3))**39 assuming u is positive.\nAnswer: u**(-117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/7 or -60972639?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-119)\/(-85) - 18583\/(-5). Suppose m = -12*m + v. What is the tens digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 80929795 divided by -4.\nAnswer: -80929795\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 57 and 48.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 70 - 20. Let x be (3\/6)\/1*p. Solve 12 = x*u - 8 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -14002 - 3020323?\nAnswer: -3034330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14*(3\/24)\/((10\/(-10))\/(-4))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13596024 divided by -3399006.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3038 rounded to the nearest ten thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 131547?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = 5*b - t - 3*t, 2*t = -3*b - 1. Put b, -7, -5 in ascending order.\nAnswer: -7, -5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes before 5:25 AM?\nAnswer: 12:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 809\/5174 - 1\/398. Factor -c*q**3 + 0*q - 6\/13*q**2 + 8\/13.\nAnswer: -2*(q - 1)*(q + 2)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times -17197205?\nAnswer: -5159161.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1144569 by 4.\nAnswer: -1144569\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7722 is divided by 48.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*f - f + 4*f)*(f - f + f) + 0*f**2 - 2*f**2 + 4*f**2 - 20366*f**2 + 9507073*f - 1 - 9507073*f to the form x*f**2 + d*f + g and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(378)\/sqrt(144) - sqrt(42))\/((sqrt(6) - (-1*sqrt(6) - sqrt(6)))*2))**2 - (6*(sqrt(567) + -2*sqrt(567) + -4))**2.\nAnswer: -1343225\/64 - 2592*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**2 + 3*v + 38. Let u(p) = -p**2 - 4*p - 37. What is -4*c(f) - 3*u(f)?\nAnswer: -f**2 - 41","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.06 + -5.06. Let f = t + 4.9. Which is the closest to 1\/4? (a) 0.1 (b) f (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 1 m when three letters picked without replacement from mhrhuaba?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 27 + 208*n**4 - 7*n**2 + 5*n - 57 + 9*n**2 + 30 wrt n?\nAnswer: 4992*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 567 = 5*a + 12, 0 = -3*a - 5*c + 361. Suppose 0 = -2*s + a - 80. Does 11 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6685104 and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 + 1. Let s be 0\/(i - (-2 + 1)). Let a(w) = -4*w + s*w + 2*w. Let q(v) = 2*v**2. What is a(q(r))?\nAnswer: -4*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 148.7712 minutes to hours.\nAnswer: 2.47952","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -345, -762, -1167, -1554, -1917, -2250, -2547, -2802?\nAnswer: -3009","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3845 by 2.\nAnswer: 3845\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000130421 rounded to seven dps?\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a - 11*a + 1812. Let m = a + -90. What is the hundreds digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -25 - -18. Let i = -14 - z. Let h = i - -7.00007. Round h to five decimal places.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 + 5. Suppose 166 = 5*m + 5*s - 94, -3*s - 6 = q. Is 18 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -42.25 - -35.2. Let g = 7 + o. Which is the closest to 0.1? (a) 2\/5 (b) -3 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*y - 7*y + 3 + 3*y**2 - 5 - 5*y**2 to the form d + w*y + v*y**2 and give w.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the second derivative of 3*w**3\/2 - w**2\/2 - w. Suppose -5*o + 4*s + 7 = -2*o, -3*s - 4 = -o. Is k(o) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1782*l**3 + 4422865 - 5508*l**3 - 4422865.\nAnswer: -3726*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 89374*r**5 + 55593*r?\nAnswer: 1787480*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fpappppaqfpqqqqqppq. What is prob of sequence aqp?\nAnswer: 56\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 155 and 7545.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 68420992 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -63*o**3 + 27*o**2 + 27*o - 27. Suppose 112 = -60*s + 352. Let y(n) = -9*n**3 + 4*n**2 + 4*n - 4. Calculate s*c(h) - 27*y(h).\nAnswer: -9*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -18*b**2 + 4*b. Let u(f) be the first derivative of -98 + 0*f - 1\/2*f**2. Determine m(u(r)).\nAnswer: -18*r**2 - 4*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 6223705 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1356, -10854, -36634, -86838, -169608, -293086?\nAnswer: -465414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 1, -21, 4, -3, 41 in decreasing order.\nAnswer: 41, 4, 1, 0, -3, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is (-24)\/(-8) + (-16)\/(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1828*l**2 + 229*l - 67*l - 1826*l**2 + 84*l.\nAnswer: 2*l**2 + 246*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -4*b - 33. Let d be l(-9). Calculate the remainder when ((-6)\/(-36)*3)\/(d\/744) is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the second derivative of -5*b**5\/2 - 7*b**3\/6 + 3*b**2\/2 - 16*b - 2. Find the second derivative of z(j) wrt j.\nAnswer: -300*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*l - 3 + 7 - 4 + l**3 in the form d + x*l**2 + w*l**3 + m*l and give m.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-32) - (-21 + -19 + 3577\/56).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 4 + 4)*(7 + 0 + 4)*(-6*b + 4*b + 4*b).\nAnswer: -22*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1890 a factor of 804677664?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13775 - -19867. What is the tens digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 289*r - 284*r - 70 = 0 for r.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are -11080 and -11081 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(832) + -6*-1*sqrt(832))**2.\nAnswer: 40768","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 159048, 318088, 477124, 636156, 795184?\nAnswer: 954208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-20)\/(-4))\/(-15))\/(24\/(-18)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -319.9 - -320. Which is the third biggest value? (a) 4 (b) -2 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 0 - 11 = 4*a, -3*a - 3*n = 12 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*x + 27*x**2 - 1 - 2*x - 58*x**2 to the form b*x**2 + l + g*x and give b.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -238*c + 221*c + 10455 = 0. Is 3 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4242156*f**5 - 3013522*f**2?\nAnswer: 254529360*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes after 5:59 AM?\nAnswer: 4:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 125 is divided by 40.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 4*s = -464097, 26*s = 3*p + 29*s - 278469. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*r + 27 = 27. Let g = -8 - -6. Suppose 3*s + 12 = -s. Sort s, r, g in ascending order.\nAnswer: s, g, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes after 7:34 PM?\nAnswer: 6:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -69, -287, -651, -1161, -1817?\nAnswer: -2619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w + 5*o - 13 + 68, -2*w = -o - 92. What is the remainder when w is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 77187919 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes after 6:11 AM?\nAnswer: 11:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*u - 50 = -2 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/1650006 and 77\/51336.\nAnswer: 151800552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*a = -7*a. Suppose a = -f - 2*f + 15. Solve 0 = 4*s - 3*s - f*k - 25, 29 = 5*s - k for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 143 and 5954?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes before 10:03 PM?\nAnswer: 6:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/10 - (-2068)\/(-4895). Is 1 < y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -28*p - 1600 + 5088*p**2 + 58*p - 37*p + 6*p wrt p?\nAnswer: 10176","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108)*-3)\/(sqrt(44)\/(sqrt(44)\/sqrt(4))).\nAnswer: -9*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 163410?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 13) + 85 + -75.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 522946 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**5 + 2379*o**4 + 4749*o**3 + 2373*o**2.\nAnswer: 3*o**2*(o + 1)**2*(o + 791)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 3 - 2 - 5*t + t**2 + 0 + 2*t. Let o(p) = -p**2 + 2*p. Give -3*o(r) - 2*q(r).\nAnswer: r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -177973219 - 53*d**3 + 177973219.\nAnswer: -53*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**4 - 12*o**3 + 9*o**2 + 42*o + 24.\nAnswer: -3*(o - 2)*(o + 1)**2*(o + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66 - k + 59 - 14*k - 120.\nAnswer: -15*k + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5692913318?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 155441571.\nAnswer: 3, 51813857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -7*m. Let z(b) be the first derivative of -34*b**3\/3 - 301. Determine y(z(p)).\nAnswer: 238*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**2 - 3*x + 33. Give w(-8).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*x - x - 3*x + (1 + 3 - 1)*(-2*x + 5*x - x))*(x**4 + x**4 - x**4) - x**5 - 2*x**5 + 7*x**5.\nAnswer: 11*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -24.9 - -25. Let z be (-8 + 6)\/(-3 - -4). Let i = -10.8 - -11. Which is the nearest to r? (a) i (b) z (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12 - 4. Let o be 8\/2 + 20 + -2. Suppose -4*c + 2*g = -o, 3*g + k = c + 2*g. Solve -l = -c*l + 6 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/9 - 110\/(-3). Calculate the greatest common divisor of l and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2781, -11232, -19671, -28092, -36489, -44856?\nAnswer: -53187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/5*(-15)\/(-33). Sort s, 2, 1\/4 in decreasing order.\nAnswer: 2, 1\/4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the second derivative of -r**9\/3024 + r**6\/90 + r**3\/6 - 3*r. Let f(g) be the second derivative of l(g). Find the third derivative of f(j) wrt j.\nAnswer: -60*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4185 and 101525.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 36 and 21082252?\nAnswer: 189740268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5*(3 + (-23)\/(-5))?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -331*b**3 + 2*b**2 + 566 - 28*b**3 - 567.\nAnswer: -359*b**3 + 2*b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 40 and 190?\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 111 and 28527.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -112\/5 + 22. Let m = -209\/692 + 9\/173. Sort -0.31, 2, c, m in ascending order.\nAnswer: c, -0.31, m, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the third derivative of -z**8\/36960 - z**7\/2310 - z**6\/440 - 13*z**4\/24 - 6*z**2. Let r(q) be the second derivative of x(q). Factor r(u).\nAnswer: -2*u*(u + 3)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -3*i + 51685, 0 = x - 5*i - 6863 - 3474. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, n: 4, h: 2, a: 5}. Give prob of picking 2 a.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 64426 - 64468. Let c be 2\/6 - 112\/3. Which is smaller: n or c?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.008068794665 rounded to 3 decimal places?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/5 of a millennium in years?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**2 + 6*n + 4. Suppose -4*k + 35 = k. Let x be w(k). Sort x, -2, -1.\nAnswer: x, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1421?\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 998*r**5\/19 - 6024*r**4\/19 + 9198*r**3\/19 - 324*r**2\/19 = 0.\nAnswer: 0, 18\/499, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3161321 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-96)*-1)\/(2\/4).\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -2*d**3 - 111*d**2 + 44*d - 704. Let n be k(-56). Is -329\/10 <= n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -11, -2\/577, -2\/7, -2, 4, 1\/15?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -367*n**2 - 10*n + 7. Let r(q) = -1101*q**2 - 31*q + 20. Let d(j) = -8*f(j) + 3*r(j). Let t be d(12). Round t to the nearest 10000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -f**3 + 0*f**3 + 0*f**3 + (-9*f - 11*f**2 - 6*f + 14*f)*(-354 + 354 + 53*f).\nAnswer: -584*f**3 - 53*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - 12*q = 219, -33930 = -2*q - 33966 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -110*n**2 + 337*n**2 - 26 - 126*n**2 - 114*n**2 to the form z + x*n**2 + d*n and give x.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 134367?\nAnswer: 3, 44789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, 4, 36, -4, -1, -65, 5 in ascending order.\nAnswer: -65, -4, -1, 4, 5, 13, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -31, -94, -199, -346, -535, -766, -1039?\nAnswer: -1354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(152) - 1*sqrt(152) - sqrt(152)))\/sqrt(8) + -1*(-2*sqrt(684) + sqrt(684))**2.\nAnswer: -684 - 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 w when two letters picked without replacement from fafwattw?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 - -4. Suppose v + 39 = 4*v + 3*t, 4*t + 8 = 2*v. Let m = 19 - v. What is the smallest common multiple of k and m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 + 8. Let b(i) be the third derivative of 1\/60*i**5 + 0 + 0*i**3 + 0*i**4 + l*i**2 + 0*i. Let j(y) = 2*y**2. What is b(j(f))?\nAnswer: 4*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-35)\/28)\/((-2)\/8). Suppose -3*j + 2*d = 5*d - 21, -3*d + 29 = l*j. Let h(r) = 4*r - j + 2*r + 4. Let q(s) = -s. Calculate h(q(k)).\nAnswer: -6*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 87704.98 micrometers?\nAnswer: 87.70498","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 775 a factor of 1246778?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 2*a - 55. Calculate the greatest common divisor of 100 and a.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (7 - 5 - -6).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 2*i**2 + 8*i - 5. Let t(f) be the third derivative of f**5\/60 + f**4\/8 - f**3\/3 + 18*f**2. Determine -3*b(g) + 8*t(g).\nAnswer: 2*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 6) in base 12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10010 + -11001000?\nAnswer: -11011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -8*l - 11. Let w(k) = -4*k - 5. Let y(c) = -3*q(c) + 7*w(c). Let j be y(-2). Suppose -j*s = s - 14. Solve -3*g + s = -g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 130 - 130.17. What is the closest to 0 in a, -0.4, 4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 - 2)*(l + 2*l + 2*l)*(-l**3 + l**3 - l**3).\nAnswer: -5*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2328216601.\nAnswer: 37, 97, 648709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-2)*n\/(n*n**(-1\/11)*n*n)*n*n**2*n**(1\/5))**(-7))**(-49) assuming n is positive.\nAnswer: n**(-13377\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t - 1. Let i(s) = -2*s**3 + s + 4. Give i(o) + 4*j(o).\nAnswer: -2*o**3 - 3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3023 + 39301\/13. What is the smallest value in 2\/27, -3\/2, 5, d, 75?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -70.2 - -64.215. Let f = q + 6. Let b = 0.695 + f. Round b to one decimal place.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 77*b + 50 + 797 for b.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 134.\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1465 is divided by 167.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-7)*p)\/((p\/(p**(-3\/4)\/p))\/p))\/((p**(1\/11)\/p)\/p*p**(-2\/23))*(p\/(p*p**(-1\/5)))\/p**2*p**(-5\/3)\/(p*p\/p**(-1\/2)*p*p) assuming p is positive.\nAnswer: p**(-208279\/15180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = -32 + 92. Let p = 10 + -5. Suppose -u + 6 = 4*u + 4*r, p*u - 2*r - b = 0. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15727 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9\/14 + -1\/7. Let b(o) = o**3 - 12*o**2 + 6*o + 11. Calculate the common denominator of y and b(11).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45143 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7.16 or -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*u - 18 + 60 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 320 and 1728?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.0312? (a) 89 (b) -313 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 7, w: 2, y: 2}. What is prob of picking 2 u?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 2447, 2403, 2361, 2321, 2283, 2247, 2213?\n\"Answer: c**2 - 47*c + 2493","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/6)\/((-8)\/(-48)). Which is smaller: m or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1652 and 609154.\nAnswer: 71880172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 15*l**4 - 13*l**2. Let w(b) = -15*b**4 + 13*b**2 + 6*b**4 - 5*b**4. Let h(t) = -5*q(t) - 6*w(t). Find the third derivative of h(x) wrt x.\nAnswer: 216*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 393\/(-72) + (-10615)\/(-1930)\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**5\/i)\/i**(-3\/8)*((i\/(i\/i**(-4)))\/i)\/i**5*(i*i**2)\/(i\/(i*i**(2\/7)\/i))*i**(1\/3)*i*i\/((i*(i**(-5)*i)\/i)\/i) assuming i is positive.\nAnswer: i**(671\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 410868645905 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 33997 - 478b?\nAnswer: 2c209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*c + w + 2*w, -3*w - 3 = 0. Suppose c*n - h = 177, -2*n - h + 118 = -5*h. Put 1, n, -1 in increasing order.\nAnswer: -1, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4655 is divided by 404?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -4*w**3 + 10*w**2 + 10*w - 984. Let z(u) = -u**3 + 3*u**2 + 3*u - 329. What is -3*r(l) + 10*z(l)?\nAnswer: 2*l**3 - 338","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5365, 10706, 16047, 21388, 26729?\nAnswer: 32070","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.8 + -0.2. Let h = -0.7071 - -12.7071. Which is the smallest value? (a) -5 (b) h (c) t (d) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 124 divide 830875367?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*q + 26*q = 40. Suppose k - 2822 = -q*j, k - 1127 = 34*j - 36*j. What are the prime factors of j?\nAnswer: 5, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 2*n + 6 + 8*n - 16*n + n. Is f(-12) a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 87*g**3 + 2 + g + 18 - 15 - 2 to d*g**3 + c*g + b + l*g**2 and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.22 rounded to the nearest ten?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**2 + 4*c + 2. Let h be i(-4). Let j be (-11)\/(h\/(1 - 3)). Calculate the greatest common factor of 44 and j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 3, x: 2, i: 10}. Give prob of picking 1 x and 2 j.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 74234581 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6339, 12838, 19361, 25914, 32503, 39134, 45813?\nAnswer: 52546","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l + 17 = -4*j, -4*j = l - 163 + 174 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3121 - 3080. Solve -12*s = a - 101 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3048 - -3116. Solve -10*x + z - 8 = 0 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-4))\/((-26)\/312)*9.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 313 - 129. Suppose 18*f = k + 50. Solve 4*l + f = 5 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3, 1, 5, -521.\nAnswer: -521, 1, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14487.\nAnswer: 3, 11, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n**5\/3 + 156*n**4 - 11304*n**3 + 590320*n**2\/3 + 3721216*n + 12594432 = 0. Calculate n.\nAnswer: -6, 62, 92","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(65)*-2 + sqrt(65)))\/sqrt(180).\nAnswer: -sqrt(13)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-40)\/168)\/((-94)\/7). Which is bigger: 1 or s?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 6, q: 2, j: 11}. What is prob of picking 2 f, 1 j, and 1 q?\nAnswer: 55\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -821125.2043 rounded to the nearest one hundred?\nAnswer: -821100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaabbbrbafatw. Give prob of picking 2 a, 1 b, and 1 t.\nAnswer: 8\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 4\/3, -0.2, -1\/4, -822, 5\/4?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 + 3 = -2*a. Calculate the lowest common multiple of 2 + 15\/20*a and 1.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a + 3*a - 4*a)*(-1 - 4 - 2*a + 4).\nAnswer: 8*a**2 + 4*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**2 - b - 9 - 2*b**2 - 4 - 13*b. Suppose -d + 2 = -2*a + d, 5*d = 4*a + 9. What is the smallest common multiple of a and s(-12)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77747910 to the power of 1\/2, to the nearest integer?\nAnswer: 8817","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t = 2*t - 4*v - 43, 25 = -5*t + 5*v. Let w = 9 + t. Solve 0 = -w*n - 0*n + 4 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -866*f - 12 + 438*f + 426*f. Let g(i) = -2*i - 11. Give -4*g(n) + 3*s(n).\nAnswer: 2*n + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10010 + -11011110001?\nAnswer: -11011011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-1*sqrt(200)*-5)\/(sqrt(4) - sqrt(176)\/sqrt(11)).\nAnswer: -25*sqrt(2) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.23286 and -0.965?\nAnswer: 0.2247099","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11276876 is divided by 56?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -83565, -167134, -250703?\nAnswer: -334272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.11 - 1.61. Let i = -1.2 - k. Let t = -3.92 - 0.08. Put -3, t, i in descending order.\nAnswer: i, -3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4176576 a multiple of 432?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (x - x + x**2)*(-10 + 3201*x - 2 - 2 + 14) in the form c*x**2 + j + b*x + a*x**3 and give a.\nAnswer: 3201","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/50 and (-11)\/((-3025)\/(-10))*(-590)\/40.\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccckccckcc. What is prob of picking 3 c?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = f + 25, z = 3*f + f + 111. Let u be (24\/(-28))\/(8\/f). Suppose j = -u*g, -4*g + g = -4*j + 45. What is the remainder when j is divided by 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b*b**(-8))**4 assuming b is positive.\nAnswer: b**(-24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 118.85 to 0 decimal places.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -14 - -3. Let q(p) be the first derivative of p**4\/4 + 10*p**3\/3 - 7*p**2 - 7*p - 13. Is 13 a factor of q(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 4*n + 5 = -12, r + 5*n - 28 = 0. Suppose m = 2*d + 2, -3*d - 1 = -m - 0. Solve r*q = m*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (12\/2)\/((-774)\/(-387))*1\/(-3)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.33, -0.1, 7, -2, -2\/3 in increasing order.\nAnswer: -2, -1.33, -2\/3, -0.1, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t = q + 7, 49*q + 12 = 46*q - 3*t for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 9*o**5 - 1317*o**4 + 3411*o**3 + 126909*o**2 - 172128*o - 169884 = 0.\nAnswer: -9, -2\/3, 2, 11, 143","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 621.6952 nanograms in tonnes?\nAnswer: 0.0000000000006216952","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1965709.\nAnswer: 1965709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 7266 bigger than 7275?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1160290 to the power of 1\/2, to the nearest integer?\nAnswer: 1077","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 2*i**2 - 17*i + 163. Calculate w(9).\nAnswer: 172","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 + -1. Let z be 2\/10*3\/3*220\/132. Sort -0.3, z, b.\nAnswer: -0.3, b, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Does 81 divide 5022?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00006 rounded to five dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p - 2*d - 304, 0 = -26*p + 28*p + d - 152. Let r = p + -530\/7. Sort 0.2, 6, r, -2\/11.\nAnswer: -2\/11, 0.2, r, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 9 - (12 + 1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.1059 - 99.4659. What is u rounded to zero dps?\nAnswer: -99","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2014 is divided by 126.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -3*z - p + 7, 0 = -2*z - 2*p - 2. Sort z, 18, -1.\nAnswer: z, -1, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5257996?\nAnswer: 2, 37, 35527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -153 (b) -0.093 (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -230, -1443, -3450, -6065, -9102, -12375, -15698, -18885?\n\"Answer: 31*c**3 - 583*c**2 + 319*c + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10099 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**2 + f + 1. Let l(t) = -5*t**2 - 20*t + 25. Let c(s) = 6*i(s) - l(s). What is the remainder when c(24) is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.58 - -0.68. Let y = -0.0883 + z. Round y to three dps.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27179 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23, -666, -2497, -6110, -12099, -21058?\nAnswer: -33581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 5) in base 10?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 295\/(-20) - (115\/(-20) + 6) - -8. Let s(l) = 61*l**2 - 2*l + 11. Let m(i) = -30*i**2 + i - 5. Determine k*m(q) - 3*s(q).\nAnswer: 27*q**2 - q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the third derivative of t**6\/720 - t**4\/2 + 3*t**2. Let n(i) be the second derivative of a(i). Let u(r) = -11*r**2. Give n(u(o)).\nAnswer: -11*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 31*k - 20*k - 165. Calculate the remainder when 42 is divided by k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 26407?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.042 - 1.042. Which is the nearest to u? (a) -3 (b) -0.8 (c) 2\/21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.1 (b) -9\/4 (c) 6\/5 (d) 0.022835 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1\/4 of a gram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1991409168 to the nearest integer?\nAnswer: 44625","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 5*c**3 - c**2 - 4*c + 5. Let r(n) = n**3 - 11*n**2 + 11*n - 6. Let p be r(10). Let l(s) = s**3 - s + 1. Calculate p*l(f) - w(f).\nAnswer: -f**3 + f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/14 and (-5)\/(-4)*2492\/3010.\nAnswer: 602","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**2 - 9*u - 12. Let n be z(12). What is the highest common divisor of 8 and n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 13 = -q, 5*q + 16 = 87*o - 88*o. Which is the nearest to -47? (a) q (b) 2\/7 (c) 0 (d) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 562110 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -58713\/4 or -14677?\nAnswer: -14677","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 16 = 5*m, 2*w + 8 = 3*m + m. Suppose -s + 3 = u, -3*u + 13 = s - m*s. Let r(o) = -o**2 - 2*o - 2. Calculate r(s).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 53\/300 - 4\/25. Let x(r) be the third derivative of 1\/12*r**4 + 0 - 1\/6*r**3 - f*r**5 - r**2 + 0*r. Factor x(i).\nAnswer: -(i - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -9*i**3 - i**2 - 2*i - 1. Let m(h) = h + 4 + 0 + 0 - 3 - h**2. Let l be m(2). What is the lowest common multiple of x(l) and 3?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 + -1. Suppose -k*p + 13 = 82. Does 11 divide -1*(2 + -1)*p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 19 - 13. Suppose -a = 3*y + 3. Put -1, y, -2 in descending order.\nAnswer: -1, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -3*s + 1. Let k(c) = 2 + 10*c + 0*c - 5. Let a(h) = 21*g(h) + 6*k(h). Let t(j) = -j + 1. What is -4*a(o) + 11*t(o)?\nAnswer: o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 96 and 3071688.\nAnswer: 12286752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-11)\/(2 - (1 + 2)). Let q = 150 - y. Does 25 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2\/9 + 4\/9. Let h = -6.251 - 0.049. Let p = h + 1.3. Which is the second smallest value? (a) d (b) 4 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**(-1)*d*d)\/d)**18*(d**(1\/10)*d)\/d*d**7)\/((d**(-7)\/d*d)\/(d*d\/d**6*d))**(6\/13) assuming d is positive.\nAnswer: d**(1163\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-10) - (-39)\/(-585)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the third derivative of 0*x + 62*x**2 - 13\/30*x**5 + 0 + 0*x**3 + 0*x**4 + 1\/2*x**6. What is the third derivative of d(p) wrt p?\nAnswer: 360","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14522?\nAnswer: 2, 53, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -b**2*s**3 + 3*b**2*s**2 + 21632*b - 401659*s**3 wrt b.\nAnswer: -2*b*s**3 + 6*b*s**2 + 21632","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 153115.2 rounded to the nearest ten thousand?\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*h**2 - 29*h**2 + 18*h**2.\nAnswer: 5*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(2\/5))**(-7\/12))**27 assuming f is positive.\nAnswer: f**(-63\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n + 8. Let g be i(3). Solve 6*u = g*u - 4 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11112 (base 3) in base 8?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 30 - 20. Is i a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2677423?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gj when two letters picked without replacement from {g: 3, a: 1, r: 3, j: 5}?\nAnswer: 5\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -92 + 180. What is the tens digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 2*q + 23. Determine n(-12).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 7*v**2 - 611*v + 273. Let r be o(87). What is the closest to -0.1 in 3, 1\/89, r, 0.5?\nAnswer: 1\/89","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.04 and 38307441067850?\nAnswer: 38307441067850.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -115 - 108?\nAnswer: -222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1710750, 28, -3?\nAnswer: 1710750","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**2 - 8*d + 12. Let y be ((-12)\/(-5))\/(12\/40). Let t be q(y). Solve -x = 3*x + t for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 + -1)\/((-207)\/1035*(-25)\/18).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide (-15 + -1 - -1)\/(3\/(-27))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 7*j. Let a = -15 + 16. Give r(a).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -31955 (base 12) to base 6\nAnswer: -1222145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/6*(7\/8)\/(-7)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 4\/11*g**2 + 0 + 6\/11*g**3 + 2\/11*g**4 + 0*g = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 43 - 69. Let y(f) = f**3 + 6*f**2 - 18*f - 6. Let d be y(-7). Let m = d + l. What is the tens digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 106 at least as big as 113?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u + 1, -8*u = m - 13*u - 11416. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3913008686 to the nearest integer?\nAnswer: 62554","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -61 + 602504?\nAnswer: 602423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36704 is divided by 9057?\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -2*j**2 - 40*j + 7. Let i(m) = -7*m**2 - 157*m + 33. Give -9*f(n) + 2*i(n).\nAnswer: 4*n**2 + 46*n + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -120122202 (base 3) in base 9?\nAnswer: -16582","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 1887*j**3 + 27*j - 180. Let d(z) = -1888*z**3 - 21*z + 181. Let v(s) = -5*d(s) - 4*n(s). Find the second derivative of v(p) wrt p.\nAnswer: 11352*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4254 - -35?\nAnswer: -4215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -36*h**2 + h - 5. Let s(t) = -t**2 - 1. Let c(r) = -k(r) + 5*s(r). Suppose -2*g + 6*g + 4*a = -8, 5 = -g - 2*a. What is the units digit of c(g)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the first derivative of -4*o**3\/3 + 4*o - 4. Solve y(w) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l - 3. Let k be p(7). Let v = 7 + -3. Suppose -2*g + 12 = 4*y, -4*y + 12 = v*g - k. Solve y*w + 3 = 1 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/4 and 375\/(-20) - 2 - 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-90)\/540)\/(1032\/(-288)).\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/10*48\/216*(-3)\/8.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 179 is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*l - 10. Suppose g - 2*o = -4, -g = -0*g - 5*o + 13. Suppose -20 + 18 = -a. Solve -5*z + g*p - 4 = 0, l*p = z - 9 + a for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-466333)\/(-49) + 2 + 9.\nAnswer: 2, 3, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**3 - 18*w**2 + 17*w. Let f be i(17). Put f, -1, -4 in decreasing order.\nAnswer: f, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-1\/7)\/(z*z*z**12) assuming z is positive.\nAnswer: z**(-99\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -30178, -28862, -27546, -26230, -24914, -23598?\nAnswer: -22282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/(-14) - (-26)\/91. Let i(q) be the first derivative of -3 + 1\/2*q**2 + 1\/3*q**3 + c*q. What is the second derivative of i(r) wrt r?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**2 + a + 1. Let j(d) = -15*d**2 + 10*d + 2. Let c(k) = -j(k) + 6*x(k). Let s(b) = -4*b**2 + 2*b - 2. Give 2*c(o) + 5*s(o).\nAnswer: -2*o**2 + 2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 228 + 30 + 6 = 11*b. Solve 41*a - 45*a = b for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 + 1)*(5*f - f - 29*f)*(-3 + 2*f + 3)*(-2*f + f - f).\nAnswer: 300*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -67, -135, -205, -277, -351?\n\"Answer: -g**2 - 65*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k - 5*g - 35, -2*k - 2*g - 2 - 4 = 0. What is the common denominator of ((-77)\/6 - k) + 2 and -9\/20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/18 - 2\/(-36). Let i(v) = v**2 - 8. Let z be i(0). Let g be ((-3)\/(-3))\/((-20)\/z). What is the nearest to g in -0.1, d, -5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**3 - g**2 + 1. Let y(k) = -9*k**3 - 4*k**2 + 6*k - 4. Let h(f) = -y(f) - 4*z(f). Let w(v) = v**3 + v**2 - v. Calculate h(i) - 6*w(i).\nAnswer: -i**3 + 2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -132223100323 (base 4) to base 2\nAnswer: -11110101011010000111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 605390 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-63)\/(-24)*8\/28?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mddwwddwmwwdw. Give prob of sequence wd.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 6745640 a multiple of 220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 225 + -225.09. Let k = -117.7 - -118. Which is the closest to 1? (a) k (b) n (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3, -46 in increasing order.\nAnswer: -46, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 2 c when four letters picked without replacement from accacc.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(24))\/sqrt(12) + 1)*-2.\nAnswer: -2*sqrt(2) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of d*n**3 - 5*d*n*u - d*u**2 - 28641*n**3 - 533*n**2*u**2 + 268*n*u**2 + 10*n - 225*u**2 wrt n?\nAnswer: 6*d*n - 171846*n - 1066*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (0 + (-13 - (-5 + -1)) - -11) + 22\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 92028 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 506.5 + -525. Let i = v - -14.5. Let x be 2\/(-7) - 50\/(-28). Which is the third smallest value? (a) x (b) -3\/2 (c) i (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 - -967?\nAnswer: 967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 5, t: 7}. Give prob of picking 1 y and 3 t.\nAnswer: 35\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*a**4\/7 + 3993016*a**3\/7 + 1993026090044*a**2\/7 + 3986040201048*a\/7 + 1993018104018\/7 = 0. What is a?\nAnswer: -998253, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-2)\/((q\/(q*q\/(q*(q*q*q\/(q\/(q\/((q*q**(4\/3)*q)\/q))))\/q)))\/q*q*q)*((q*q\/q**(2\/19))\/q)\/q*q*q\/((q**(-1\/3)*q)\/q)*q*q*q assuming q is positive.\nAnswer: q**(146\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.578412 centuries in millennia?\nAnswer: 0.0578412","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.6 + -1.618. Let d = x - 36.982. Let l = d - -42. Which is greater: 3\/2 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 13327\/6? (a) -9 (b) -0.4 (c) -5 (d) -23.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**3 - 11*o**2 + 12*o + 14. Let y be n(-12). Let f be (0 - -3 - y) + 3. Put f, 5, 1 in descending order.\nAnswer: 5, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 65547, 131091, 196635, 262179?\nAnswer: 327723","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*p**4 - p**4 - 3*p**4)*(6 - 3 - 1 + (4 - 1 - 1)*(1 + 3 - 6) + 3 - 2 + 0) - 14 + 14 + 19*p**4 as o*p**4 + y*p**3 + v + k*p + a*p**2 and give o.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**3 + 7*x**2 - 7*x + 6. Let q be o(6). Suppose q = 2*w - w. Let c be 0 + 1 - (w - -1). Solve 0 = 3*r - c*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 3, m: 13}. Give prob of sequence mmb.\nAnswer: 39\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**2 + 22. Let u(n) = 19*n**2 - 1. What is y(u(p))?\nAnswer: 361*p**4 - 38*p**2 + 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 507807.2 minutes to nanoseconds.\nAnswer: 30468432000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = -j + 42. Suppose 136 = n + 5*c - 3*c, j*c = -5*n + 672. List the prime factors of n.\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 21*u - 24*u = -2617, -5*a - 2*u + 3266 = 0. Is a a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 273 - 2456\/9. What is the closest to 0.04 in f, 1\/3, -1\/3, 0.4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 24\/60 + 96\/10. Suppose o - i = -1. Suppose 2*r + 3*b + o = 0, -4*r + b - 1 = 10. Put r, 1, 4 in descending order.\nAnswer: 4, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1199075 is divided by 25512.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22915 + 17613 = 609*t + 7642 for t.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (204\/16)\/(1\/4). Let x = m + -39. Solve 0 = 5*g + 2*i - x, 0*g + 3*g - 3 = 3*i for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**3 + 2*v**2 - v + 1. Let a(b) = b**2 + b - 1. Let s(j) = 6*a(j) - w(j). Calculate s(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, 1\/2, 1\/8, -0.5, 14, 2\/7, 0.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.25401104 - 109.27650196. Let s = -8.468917 + r. Let g = s - -118. Round g to four dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -33811, -33800, -33783, -33760, -33731?\nAnswer: -33696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -19*r - 23. Let p be g(-16). Suppose -10*m + p = -409. Let b = m - 69. Is -2\/43 at least b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.0743 + -0.0257. Which is smaller: 0.3 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1116 and 48?\nAnswer: 4464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 45*x - 2 + 3 + 14*x to the form b + t*x and give t.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8356*u + 929.\nAnswer: -8356","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 83, 5 in descending order.\nAnswer: 83, 5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*v + 8*v + 9. Solve v*x - 15 + 6 = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -71355, -71508, -71657, -71802, -71943, -72080?\n\"Answer: 2*g**2 - 159*g - 71198","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -837, -780, -737, -714, -717?\nAnswer: -752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange w**2 + w**2 - 4*w**2 + (-105 + 105 + 39*w)*(-2*w + 7*w - 3*w) + 4*w**2 + 3*w - w - 5*w**2 to s*w**2 + z*w + r and give s.\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 10221774377 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2b (base 14) to base 13.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -2 - 7. Suppose 2*m + 3*m + 2*d = 24, d - 15 = -f*m. List the prime factors of m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*-0.7\nAnswer: 1.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 3*b + 1 = 0, -3*b + 23 = 3*f - f. Let i be (-19568)\/(-72) - f\/(-18). Suppose 8*h + 0*h - i = 0. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = 2*l - 0*m - 14, 0 = -l - m + 8. Suppose 0*t = -5*t - l. Let h be 2\/(-6) - (-10)\/18. Which is the second smallest value? (a) t (b) 3 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 3*v = -16, -4*v - 20 = 4*x - 9*x. Suppose x*g - 257 = 23. Let s be (6\/(-7))\/((-15)\/g). Let r(j) = j**2 - 3*j + 6. Calculate r(s).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 - 13. Let o = 2.95 + 0.05. Let p = o + -2.9. Which is the nearest to p? (a) f (b) -0.3 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 8*i**3 - 70*i**2 - 13*i - 44. Determine r(9).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*p**2 - 184613*p + 184613*p.\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14, 77, 182, 329, 518?\nAnswer: 749","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 44043437?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (((sqrt(2904)*-4 + sqrt(2904))*-3)\/(sqrt(288) + 4*sqrt(288)*5))**2.\nAnswer: 559\/196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(80) - (sqrt(80) - (sqrt(80) + -1 + sqrt(80)))*-5)**2 + sqrt(80) + ((sqrt(80) - 1*sqrt(80)) + 3)**2 + -3 + -3.\nAnswer: -156*sqrt(5) + 1308","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*v**2 - 253 + 253.\nAnswer: -26*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 651631?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/3, -1, 15, -48, 6\/2675, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**3 + 5*x**2 - x + 5. Let l be g(-5). Suppose 27*k + 98*k - 22 - 365 = -4*k. Solve l*n = 5*n - k*y - 7, 4*n - y + 9 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + z = -f + 4, 4*f - 3*z + 14 = 0. Let j(c) = -c**3 - 3. Let y(d) = -2. Let p(q) = -4. Let i(x) = -2*p(x) + 3*y(x). What is f*j(r) - 3*i(r)?\nAnswer: 2*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 162?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4268 + 4265. Which is the nearest to w? (a) -0.024 (b) 1\/2 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/(-200)*-12*10\/3. Let r(b) = b**2 + b. Let d be r(1). Factor 2\/5*s**4 - 4\/5 - x*s**2 - d*s + 2\/5*s**3.\nAnswer: 2*(s - 2)*(s + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1637*l - 5*d + 13 = -1633*l, 0 = -4*l + 5*d + 3 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3263 + 4?\nAnswer: -3259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.0723 + 0.0723. Which is greater: k or -181?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -6*p**2 - 3*p + 3. Let u(z) = -7*z**2 - z + 89. Let t(g) = -g**2 - g - 21. Let l(o) = 4*t(o) + u(o). Calculate 3*l(f) - 5*r(f).\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y + 73486 + 33314. Suppose h - 3*h = -y. Let o be h\/(3*(-2)\/2000). Round o to the nearest one million.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m*m\/m**(2\/19)*m\/(m\/((m*m*m**8)\/m)))\/((m\/(m\/m**(2\/5)))\/m)**(2\/45))**(3\/5) assuming m is positive.\nAnswer: m**(16988\/2375)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2263.\nAnswer: 31, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 301243225 to the power of 1\/2, to the nearest integer?\nAnswer: 17356","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 200, 399, 596, 791, 984, 1175?\n\"Answer: -n**2 + 202*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 272246834 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 84*u + 106 - 106 + (-u + 0*u + 2*u)*(-3 + 1 + 3).\nAnswer: 85*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*h + 29*h + 117 = -3*o, 3*h = -o + 91. Solve 0 = -14*t + h*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f**3 + 6*f**3 + 0*f**3)*(-49*f - 2 + 19*f + 23*f).\nAnswer: -49*f**4 - 14*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -128 = -5*y - 4*t, -3 = y + t - 28. Calculate the remainder when 61 is divided by 440\/y + 2\/7.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5237 + -5335. Sort 5, 1, f.\nAnswer: f, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*k + 1394 - 882 = 0 for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 6*p - 4 = 0. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 69*u**2 + 69*u**2 + 2*u**3 + 2*u in the form z*u + h*u**2 + w*u**3 + t and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80*f - 445*f = 291*f - 13872 for f.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1279 - -1981. Is 35 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2174*w + 19750 - 29042 - 44138 = 16138 for w.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 153080900 rounded to the nearest one hundred thousand?\nAnswer: 153100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/11 in 3\/7, -1, -233?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -6*l**2. Let a(b) = 216*b**2. What is m(a(i))?\nAnswer: -279936*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*w**3 - 6696*w**2.\nAnswer: -4*w**2*(w + 1674)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -25443 (base 7) to base 10\nAnswer: -6744","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i**4\/3 + 2*i**3 + 2*i**2\/3 - 2*i = 0 for i.\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4\/7, 0.512, -6, 0.93, -2, 1\/4, 2?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4*z**4 - 2960*z**3 + 2*z**2 + z - 109115620?\nAnswer: -16*z**3 - 8880*z**2 + 4*z + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 24681 and 38?\nAnswer: 49362","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42582 is divided by 5320?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**3 - 3*o**2 - 2*o - 4. Let d(p) = p**2 + p + 1. Let x(t) = 4*d(t) + v(t). Let s(i) = -3*i. Let c(n) = -2*s(n) - 3*x(n). What is m in c(m) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g - 7*g = 27. Suppose -g*y + 23*y = 12. What are the prime factors of 49 + (-2)\/(2\/y)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 470936548\/219 - 2150402. Let k = -10\/73 - x. Factor 7\/3*m**3 + k*m - 1\/3*m**4 - 6*m**2 - 8\/3.\nAnswer: -(m - 2)**3*(m - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 2*z. Let i(u) be the second derivative of 17 - u + 0*u**2 + 10\/3*u**3. Calculate t(i(g)).\nAnswer: 40*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(1\/3)\/c*c)**(-3\/14))**(8\/7) assuming c is positive.\nAnswer: c**(-16\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in -17, -1, -4, 10.35, 2\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:22 PM and 8:46 PM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -77*j + 4653. What is p(61)?\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z**4 + 70*z**3 + 240*z**2 + 250*z + 85 = 0.\nAnswer: -1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**3 - 9*c**2 - 3*c - 3. Let l be -6 - ((-3)\/(3\/2) + 3). Let w(k) = k**3 + 19*k**2 + 7*k + 7. What is l*a(v) - 3*w(v)?\nAnswer: 4*v**3 + 6*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*k + 78 = -57. Sort -0.4, -1.8, k in increasing order.\nAnswer: k, -1.8, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 348?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 543383 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2338 + 2488 = -10*l for l.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1287\/12 - (-3)\/(-12)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 77, 240, 555, 1022, 1641, 2412, 3335?\n\"Answer: 76*o**2 - 65*o + 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -1, 18, -0.1, 3\/11, 8?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -366*n + 701*n - 52199 = -896*n + 46281 for n.\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(4 + 1*sqrt(396)) - (-4 + 0 + sqrt(396)*-1))*-5.\nAnswer: -150*sqrt(11) - 100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 840356?\nAnswer: 2, 11, 71, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 21 and 189.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/3 + 0 + 50\/6. Solve 3*y = -a - 9, -3*y - z*a = -4*a + 15 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 70 divide 116137?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 20 in -1, 2\/15, 5, 0.5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -50047 + 655?\nAnswer: -48282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -196*s**3 - 21*s**2 - 21*s + 21. Let d(f) = -49*f**3 - 5*f**2 - 5*f + 5. Calculate -21*d(y) + 5*p(y).\nAnswer: 49*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.17 from 0.013.\nAnswer: 0.183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1170 + -8131\/7. Calculate the common denominator of -1\/4 and w.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.120528 times 2.6\nAnswer: -0.3133728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7422 and 132359?\nAnswer: 1237","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 14\/27 + (-5 - -2). Let y = -2321\/54 - w. Calculate the common denominator of y and (5 - 6 - 30)*9\/120*-4.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23635142 (base 7) in base 9?\nAnswer: -3865172","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 3*f = 0, 4*m - 2*f = 44. Suppose -5*s - 99 = -4*p, -3*p = -5*s - 57 - m. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 23*o**2 + 5*o. Let d(b) = -57*b**2 - 12*b. Suppose -37*p - 221 = 223. Give p*t(w) - 5*d(w).\nAnswer: 9*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**2 - 6*b - 2. Let a be n(-4). Let s(q) = 2*q**2 - 2*q + 28. Let m be s(a). What is the greatest common divisor of m and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 924 and 294?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 77760?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 22 and -59\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j\/(j**(-2\/7)*j))*j)\/((j\/j**0)\/j))**(-9\/8)*((j**(-3\/2)\/j)\/(j*j**(-3)*j))**(7\/9) assuming j is positive.\nAnswer: j**(-65\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -102341 - -44?\nAnswer: -102242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 21 + -8 + -8.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:33 PM and 10:22 PM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 93060580?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17 + 24*s + 19 - 34*s to the form w*s + r and give w.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 204577756 divided by -1.\nAnswer: -204577756","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 3, -35, 21, 1\/4, -0.2, 0.2, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(135)\/sqrt(9) - (-3*sqrt(540) + sqrt(540)))\/((sqrt(490) - sqrt(490)*-2)\/(2*sqrt(8))))**2.\nAnswer: 1024\/147","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sum 9482038 and -12.57.\nAnswer: 9482025.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 61*i - 7. Is y(20) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1*3\/3)\/(((-812)\/(-725))\/28)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dd when two letters picked without replacement from zzzdzdzzzdz?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3735 rounded to the nearest one thousand?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -681301 or -681306?\nAnswer: -681301","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 2 = -2*l. Let c = l + 34. Let f = c - 21. What is the smallest common multiple of 30 and f?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, x: 1, c: 1, y: 1, a: 1}. Give prob of sequence cr.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/(-25))\/(10\/(-25)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 785097941 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -19 (b) -40.7 (c) -11 (d) 3 (e) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15434 (base 8) to base 6.\nAnswer: -52044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -428374 in 13, -2, -4, 0.5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/8 and (-21)\/9*(-45)\/(-93).\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m. Let p(r) = r - 19. Let i be p(23). Suppose -28 = 6*f - i. Let o be (-50)\/15*(-6)\/f. Determine j(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 205?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 51756 to the nearest 100.\nAnswer: 51800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 - (-3 + 13 + -14))*-21*(-18)\/315.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.4, -145, 6, 98?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 5*c - 3. Let w = -235 - -234. What is m(w)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 16, 169\/6, 5, 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 + (2 - -2) - 2. Suppose 22 = -5*c + 3*j, -8*c + j = -7*c + 6. Let g be 0\/(-2)*1*2\/c. Solve g = -l*f - f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jljnjejjmjejnjnljll. What is prob of sequence nj?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + -40 + 48 - 26) + 148.\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 23 - 18)*(2*g + g + 0*g).\nAnswer: 30*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, -30, -4\/7, 2\/5071, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 5 + 1. Suppose m*k = -3*k. Factor -2\/7*v**2 + 4\/7*v**3 + k + 0*v - 2\/7*v**4.\nAnswer: -2*v**2*(v - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-6*(2*sqrt(1400) + sqrt(1400)))\/((sqrt(968)*-2*1 - sqrt(968)) + (sqrt(968) + (sqrt(968) + sqrt(968)*-1)*3 - sqrt(968))).\nAnswer: -180*sqrt(7)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w - 1 = -3*z, -2*z + w = -3*w - 8 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 4*s + 829 = -7*s, 5*w = 3*s + 2086. Suppose 2*g + 330 = 9*c - 5*c, 4*g = -5*c + w. Is c a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1542 - 20*i - 1542)*(-1 - 2 + 0)*(1 - 3 + 4) to a*i + l and give a.\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 123601*n - 123683*n + 3116 = 0. Let z(q) = 4*q**3 - 3*q**2 + 3*q + 1. What is the remainder when z(3) is divided by n?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 6*f = 8*f - 10, 0 = -2*l - 4*f + 6. Let s(c) = c - 5*c + 15 - l - 6. What is the smallest common multiple of s(0) and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**2 + 11*j - 2. Let g be d(6). Let t be 1 + g\/(-8) + 4. Which is the third biggest value? (a) -2\/15 (b) t (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6 + (-54)\/10*(-5)\/3. Solve 28*b - 25*b + o = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 45*l - 48*l + 12*z - 3, 2*l + 5*z = -67 for l.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1105*-4.92\nAnswer: 5436.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.99 + 1.01. Which is the biggest value? (a) k (b) -2\/49 (c) 0 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -60 - -62. Solve f + 7 = -2*k, -u*k + 5 = -5*f + 30 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the first derivative of -i**4\/4 + i**3 + 3*i**2\/2 - 2*i + 2. Let r = 2 + 2. Determine h(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (78\/(-4))\/((-7)\/((-84)\/9)). Let r = s + 40. Suppose -5*d = -3 - 2. Solve r + d = 3*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -24 or 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(3\/5)\/(p*p**(1\/4)))**19\/((p**(-1\/5)\/(((p**2*p)\/p)\/p))\/(p**5*p**(-2))) assuming p is positive.\nAnswer: p**(-163\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18684 is divided by 334?\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5745927 to the nearest integer?\nAnswer: 2397","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 5)*(-z**3 + 3*z - 3*z) + (8*z + 132*z - z**2 - 1 - 68*z)*(2*z + z - 5*z).\nAnswer: -2*z**3 - 144*z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 98 - 38. Suppose -f = -5*h + h. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 - 0 - (-50 + 50)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 19*h + 1 = 16*h, -4*m = 4*h. Let l(f) = 10*f**2 + f + 2. Let v(z) = -z**2 - z - 1. Let a(g) = -l(g) - 2*v(g). What is a(m)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1143777.9138 - -1143969. Let w = -191 + v. Round w to 3 decimal places.\nAnswer: 0.086","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 51 = -12*k + 17*k, -2*u - 66 = -4*k. Let a(m) = m**2 - 11*m - 24. Determine a(k).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1089 in 1\/4, 51, -2\/191, 0.5?\nAnswer: -2\/191","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 6510343?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 1 v when three letters picked without replacement from jvjffjvvfvfjvvvvv?\nAnswer: 27\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttoh when four letters picked without replacement from {b: 1, t: 2, h: 1, o: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 39*b - 48. Let z(d) = -40*d + 51. Let o(g) = -2*x(g) - 3*z(g). What is the derivative of o(p) wrt p?\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 + 8445132\nAnswer: 8445124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 68203370?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 2640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52004285?\nAnswer: 5, 883, 11779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(90) - 2*sqrt(90)*-4)\/(1*sqrt(144)))\/(((-1*sqrt(36) - sqrt(36))\/sqrt(3))\/(3*sqrt(24))).\nAnswer: -27*sqrt(5)\/4 - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1805?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 30942.001 rounded to the nearest ten thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -29*b + 24. What is the least common multiple of 728 and n(-4)?\nAnswer: 3640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 321013?\nAnswer: 7, 11, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -4*t**4 + 28084*t**3 - 1419720*t**2 - 15055200*t = 0.\nAnswer: -9, 0, 60, 6970","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 36, -4, -19, -5, 0, -3, -18 in decreasing order.\nAnswer: 36, 0, -3, -4, -5, -18, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (35\/7)\/(-5)*2*2\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 20222 - -21?\nAnswer: 20243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 7*p + 10. Let j(r) = -4*r - 5. Let m(f) = 5*j(f) + 3*v(f). Let u be 0\/(-1)*-1 + 1. Let n be u - (-1)\/(0 + -1). Give m(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14640 and 232.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 12*j**2 - 10*j - 10. Let n(w) = -13*w**2 + 11*w + 11. Let o(p) = 11*c(p) + 10*n(p). Let b(f) = 5356*f. Determine b(o(z)).\nAnswer: 10712*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -2*z**3 - 1. Let y(t) = -9*t**3 - 4*t**2 + 24*t + 12. Let q(s) = -4*i(s) + y(s). Let c be q(-7). Put -2, c, -4 in ascending order.\nAnswer: c, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*n**2 + 29*n**2 + 0*n**2 - 6*n.\nAnswer: 49*n**2 - 6*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/9*4*(-12)\/40?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhyhvvnyvyhhyh. Give prob of picking 2 y and 2 h.\nAnswer: 90\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -107.1 + 83. Let k = b + 24. What is the closest to 1 in 2, k, -7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate b*u**3*w + 51*b*u*w - 2*u**3*w - 3*u + 3*w with respect to b.\nAnswer: u**3*w + 51*u*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-16))\/(1719\/2292).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4514 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: Express (0 + 0 + 2*p)*(-107 + 4679 + 9797 + (6 - 1 - 4)*(1 - 5 + 3)) in the form n + v*p and give v.\nAnswer: 28736","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 10 = 2*k, -5*k = -3*n + 1 - 7. Let i be (5 + k)\/(1*(-3)\/(-33)). Let u = 75 - i. What is the smallest common multiple of u and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/(-2) - 0)*6\/(-5)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g - 2*g - 2*g)*(-4 + 3 + 2) + g - 2*g - g + 2 + 2*g - 2 + 5 - 5 + g - g - 3*g + 2*g - 3*g - 5*g + 6*g + 2 + 2 - 2 + g.\nAnswer: -4*g + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 645 + -1248. Let q = 631 + n. Calculate the remainder when 49 is divided by q.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 less than -7209?\nAnswer: -7208.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**2 - 29*m + 57. Let c be u(27). Suppose 3*b - 4896 = -c*g, 10*b = 11*b - 4*g - 1657. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (3 + -5 + -2 + 7).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 470 is divided by 138?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -958*d**2 - d + 7. Let t(o) = -1436*o**2 - 2*o + 11. Calculate 5*t(r) - 8*x(r).\nAnswer: 484*r**2 - 2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-6)\/1)\/(39\/(-52)). Let c be (-2)\/(-6) - v\/(-30). Sort -1, c, -2\/5 in descending order.\nAnswer: c, -2\/5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a = 3 + 2 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of l**2*s**3 - 2600*l**2*s**2 + 3*l**2 + 17886*l*s**3 + 3*l wrt l?\nAnswer: 2*s**3 - 5200*s**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -28 + 28*y - 28*y + 4*y**2 + 28. Let l(s) be the first derivative of -4*s**3\/3 + 1. Calculate w(l(z)).\nAnswer: 64*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -104100 to the nearest ten thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2520 divided by -45.\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 a, and 1 k when three letters picked without replacement from {k: 2, c: 1, s: 3, o: 2, e: 1, a: 3}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-54)\/(-90)*(-2 - 0))\/((-6)\/40)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 5716a (base 11) to base 3\nAnswer: 11012110200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:45 AM and 3:01 PM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-10)\/(4\/(-2)) + 35\/(-35). Let w(n) = -n**2 + 3*n + 2. What is w(a)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3388409708?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:11 PM and 12:02 AM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add together -225982976222.2 and -3.\nAnswer: -225982976225.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -66 (base 12) to base 4.\nAnswer: -1032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -43 in 1\/4, -4\/7, -12, 9?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7171 - -4969. Let g = 4351 + c. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -18 (b) 3 (c) 4\/9 (d) 74 (e) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 317*0.78\nAnswer: 247.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -17*m + 7 - 7 + (2*m - 3*m - m)*(3 + 1 - 2).\nAnswer: -21*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6035 - -5996.59. Let u = 38 + j. Let s = u - 0. Round s to 1 decimal place.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -166217 (base 8) to base 10\nAnswer: -60559","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -46645340 rounded to the nearest one hundred thousand?\nAnswer: -46600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 905 - 833. What is the remainder when n is divided by 57?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 5, b: 8, o: 2}. Give prob of picking 2 s and 1 b.\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -44782 (base 11) to base 7\nAnswer: -356665","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.75 - 0.05. Let d = x - 2.1. What is the second biggest value in 3, 0.3, d?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 220*b - 5942*b + 490*b to s*b + o and give s.\nAnswer: -5232","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 13*u - 13. Suppose -8 = -7*v + 5*v. Suppose 4*z + 16 = 0, 2*z + 20 = v*h + z. What is the tens digit of d(h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-18)\/(-288) - 204\/(-64). Determine h so that -1\/4*h**2 - 11\/2 + f*h = 0.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, -1959\/2, -1\/6, 100?\nAnswer: -1959\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -23 - -30. What is the closest to g in -4, -1, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1407*w + 37760 = 93*w - 1240 for w.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 10\/3*t + 0 + 7*t**3 + 107\/3*t**2 = 0.\nAnswer: -5, -2\/21, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7b (base 12) to base 10\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3418722199 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 65297827 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1562 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 2 k when three letters picked without replacement from kkkkxxkakxkkxtxk?\nAnswer: 9\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9025830 divided by -2.\nAnswer: -4512915","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 88 a factor of 139832?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:34 PM and 12:02 AM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -29.23 - -29. Let r = -0.229 - z. Round r to 3 dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1124670 and 420.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(4*(-3*(sqrt(425) - (sqrt(425) - (2 + sqrt(425))**2)) + sqrt(425)) + (sqrt(425) + 1 + sqrt(425))**2*-2 + 6*(sqrt(425) + 0)).\nAnswer: 920*sqrt(17) + 34200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/15 of a day in seconds?\nAnswer: 11520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 264 = 2*c. Let h be c\/14 + (-2)\/(-7). Let j = 8 + h. What is the least common multiple of 5 and j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4910892 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 57 - 32. Calculate the remainder when t is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -126 + 133. Let i(r) = -r - 2. Let g be i(-2). Suppose g = l + 2*d - 1, -2*l + 2 = -3*d. Sort -3, m, l in ascending order.\nAnswer: -3, l, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(1 + -1 + sqrt(1100) - (2*sqrt(1100))**2*-1)*-6.\nAnswer: -26400 - 60*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -27 + 46. Suppose 0 = -4*k - f - f + 58, 2*k - f = t. Solve -2*w - k = 4*o - 2, 0 = 3*w - 15 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6330 + 6342. Is 13 greater than or equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 395*g**3 + 2*g**2 + 31633*g - 31752495 wrt g?\nAnswer: 1185*g**2 + 4*g + 31633","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 540*m**2 + 35085428*m + 519784.\nAnswer: 4*(m + 64973)*(135*m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*v - 1958 = -101*v - 14*v. Sort 0, -24, v.\nAnswer: -24, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 + 12. Let k = w + -7. What is the closest to -1\/4 in 0.1, k, 3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes before 10:10 PM?\nAnswer: 12:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1003712 - 1988968 - 24*p**2 + 985256.\nAnswer: -24*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 360 and 810.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -705232*u**2 + 30. Let w(k) = -2*k**2. Give q(w(b)).\nAnswer: -2820928*b**4 + 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 5*v, 2*l + 4*v = 70. What is the remainder when 67 is divided by l?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 5085, 10260, 15435, 20610, 25785?\n\"Answer: 5175*n - 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1323088 by 165386.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/420 and 69\/57560?\nAnswer: 1208760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -10\/26361 != -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*l - 7*l + 5*l - 100 for l.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34 + 39 = -5*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -7*j**2 - 11*j - 31. Let g(k) = -5*k**2 - 10*k - 25. Let n(a) = -5*g(a) + 4*h(a). Let b(p) = 6*p**2 - 11*p - 2. Determine 6*b(z) + 11*n(z).\nAnswer: 3*z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:58 AM and 10:09 AM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 584 is divided by 70.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -33 + 35 - 4*u**3 - 5*u**2 - u**3 - 2*u + 3*u**3 as y*u**2 + j + a*u + q*u**3 and give y.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/28158620 and 149\/1206798?\nAnswer: 84475860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1105278 and -642?\nAnswer: 1104636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -1, -24.244 in ascending order.\nAnswer: -24.244, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -631273\/11 - -57315. Let w = z - -74. Find n such that 0 + 2\/11*n**2 - w*n = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a - 93*r = -91*r + 19, 5*a - 31 = 3*r for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 2\/5 (b) 8\/13 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - s = -10. What is the nearest to 0.1 in 0, s, -0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62778 a multiple of 121?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v - 258 = -3*a - 279, 4*a = 168*v - 996 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 414, 414, 412, 408, 402, 394?\nAnswer: 384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 144012666?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2802 is divided by 231?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**2 - 10*q - 2. Let u be v(11). Let a(y) = 9*y**2 + 3 + 1 - 4 + 7*y**3 + 2 - 3*y. Let d(r) = 3*r**3 + 4*r**2 - r + 1. Determine u*d(m) - 4*a(m).\nAnswer: -m**3 + 3*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2470, -4928, -7370, -9784, -12158, -14480, -16738, -18920?\n\"Answer: 2*j**3 - 4*j**2 - 2460*j - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -5092*f - 50360. Give l(-10).\nAnswer: 560","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1101000100010000111 (base 2) in base 15?\nAnswer: -86ce7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 121122 + 2300230?\nAnswer: 3022012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 - 411053?\nAnswer: -411050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t**4 - t**4 + 4*t**4)*(22116 + 3568 - 27692 - 28463 - 28903 - 21997).\nAnswer: -81371*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3922 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + (2 - -2) + -14 + 2 + (-237 - -243)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*j*n**2*v**3 + 4*j*n*v**3 - 870*n**2*v**3 + n*v**3 + 23*n*v wrt n.\nAnswer: -4*j*v**3 - 1740*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, t: 4, q: 2, r: 3, p: 1}. Give prob of sequence pt.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q**4\/17 + 3854536*q**3\/17 + 3854534*q**2\/17 = 0.\nAnswer: -1927267, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.02877*-2\nAnswer: 0.05754","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -7, -6, 0.2, -3?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -2*n - 3*b - 3, 3*n + 2*b = -2. Suppose n = -3*g + 3*v + 15, 0 = -3*g - v + 5 + 14. Let r(s) = s**3 - 6*s**2 + s - 3. Determine r(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1))**(-36) assuming f is positive.\nAnswer: f**36","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -616, 506, 2376, 4994, 8360, 12474?\nAnswer: 17336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -31 - -49. Let b(o) = -2*o**2 - p + 13 + 7 + o**3. What is b(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -565113, -2260470, -5086065, -9041898, -14127969?\n\"Answer: -565119*x**2 + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*d**2\/4 - 330455*d + 7930200.\nAnswer: 5*(d - 264340)*(d - 24)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) -28\/17 (b) 3 (c) 13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 2.666053 decades?\nAnswer: 0.2666053","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2243 + -2239. Solve 3*o + 14 = 3*l - 4, -6 = -m*l - 2*o for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + g + 1246 = 0, -2*x + 7*g + 1254 = 4*g. What is the hundreds digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3042*y**5 - 23628*y.\nAnswer: 60840*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-912)\/(-648))\/19)\/((10\/(-15))\/1).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 32.955 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -k + 3. Which is the smallest value? (a) k (b) -2 (c) -1 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.33290534 rounded to 3 dps?\nAnswer: 2.333","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 3, 0.3, 179, -4\/5, 22 in descending order.\nAnswer: 179, 22, 3, 0.3, -0.2, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3475 and 22975?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 r when four letters picked without replacement from {r: 9, d: 2}?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*n**4 + 3*n**4 - 4*n**4 + (-n**4 - 35*n**4 - 29*n**4)*(5 - 1 - 1).\nAnswer: -194*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2215 or 66\/5?\nAnswer: 66\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -32\/99 and -139\/9882?\nAnswer: 108702","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -83, -255, -427?\nAnswer: -599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, -1, 72, 15, -3 in increasing order.\nAnswer: -3, -1, -2\/7, 15, 72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -902187 (base 10) to base 15.\nAnswer: -12c4ac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 114*r + 2565 - 1783 + 4995 = -5053 for r.\nAnswer: -95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 22 = -5*y, v + y - 7 = 3*y. Which is the smallest value? (a) -6 (b) v (c) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 202002 (base 4) in base 12?\nAnswer: 1316","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lfd when three letters picked without replacement from {m: 1, v: 1, d: 1, f: 2, g: 3, l: 3}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -7*a**2 + 3*a + 4. Let c(g) = 5*g**2 + g + 1. Let y(f) = 5*c(f) - w(f). What is y(-1)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/7, -0.2, -0.5, 1\/3, 12 in decreasing order.\nAnswer: 12, 1\/3, -0.2, -0.5, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*k**5 + 890*k**4 - 655*k**3 - 190*k**2 = 0. What is k?\nAnswer: -2\/9, 0, 1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62989.\nAnswer: 62989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-42 + 40 + 2*r - 68)*(6*r**4 + 16*r**4 - 3*r**4).\nAnswer: 38*r**5 - 1330*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1675 in -7.9, -5, 0.8?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**3 + 9*f**2 + 7*f + 9. Let h be n(10). Let v = h - -30. Let i = v + 3. What are the prime factors of i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2649 + 2676 - (1 + 101 + 3).\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 487*z - 2737 = -345*z + 29711 for z.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*i + 30 = -18*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -0.0648, -1 in descending order.\nAnswer: 0.1, -0.0648, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -13.61126 to the nearest integer.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6402?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -r**3\/5 - 38*r**2\/5 + 16*r = 0.\nAnswer: -40, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the second derivative of -w**3\/6 + 5*w**2 + w. Suppose 2*x + 4*v + 18 = 5*x, -2*x + 2*v + 12 = 0. Let b be o(x). Solve b*s + 15 = s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2142 is divided by 96.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 4 (b) -0.9 (c) -0.5 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 454.0023276 rounded to the nearest 10?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 145 + -5?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 220 a factor of 373340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-72)\/(-42)*(-7)\/(-2). Let g(s) = 6*s - 7. What are the prime factors of g(y)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**2 + 7*b + 2. Let v be (5\/2)\/((-1)\/(-2)). Suppose -2*x + v - 11 = 0. Determine l(x).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 280300 to the nearest 100000.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*a + 52416 = -5*a. Suppose a = 283*q - 274*q. Does 9 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 109 + 159 = -3*v + 5*b, 0 = -3*v + 2*b - 262. Let f = v + 154. Does 17 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + 3*b = -48, -16*o - 4*b - 45 = -15*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i, 1 o, and 1 r when four letters picked without replacement from {b: 2, o: 3, p: 2, v: 3, r: 1, i: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.1, 0, 1, -1, -14\/29 in descending order.\nAnswer: 1.1, 1, 0, -14\/29, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 392249 a multiple of 169?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -2\/5, 20, 0.5 in decreasing order.\nAnswer: 20, 0.5, -2\/5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3801618 is divided by 745.\nAnswer: 628","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + f = 13, 2*f - 1 = -3*g - 2*f. Let y be -5 + (-6)\/(-2) - g. Let b(d) = 4*d - 4. Let z(w) = 3*w - 3. Determine y*z(o) + 4*b(o).\nAnswer: o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 + (-1)\/(-3))\/(6\/63). Suppose -3*l = 2*x - k, 4*l - 8*l = 4*x - 20. Solve -4*m = -l*s + 28, -3*m = 6 + 9 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14919 minus 4?\nAnswer: -14923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 7*1*(2 + 6). Calculate the highest common factor of d and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -1. Let b(z) = z - 6. Let q be b(7). Let u(n) = 2*n + 2. Give q*u(l) + 3*k(l).\nAnswer: 2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 25, -2, 4 in increasing order.\nAnswer: -2, 3, 4, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -32 + 32 + 9036*t**2 + 14909*t**2 - 4945*t**2 as j + v*t + g*t**2 and give g.\nAnswer: 19000","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -47*m*y**3 + 2090*m*y**2 + 2*m*y wrt y.\nAnswer: -282*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, 340225\/2, -71?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 24 = -6. Let y be (-9)\/w + 1\/(-5). Find u such that 0 - 6\/5*u**3 - 6\/5*u**2 - y*u - 2\/5*u**4 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 273?\nAnswer: 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**2\/17 - 562*j\/17 + 40920\/17.\nAnswer: -2*(j - 60)*(j + 341)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9.2769 * -0.1.\nAnswer: -0.92769","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q - 4 = 3*m, 2*q - 175*m = -177*m for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 9 and -2.183?\nAnswer: -19.647","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 12*-1860.7\nAnswer: -22328.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 300874997 to the power of 1\/3, to the nearest integer?\nAnswer: 670","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -4 from 4100801.\nAnswer: 4100805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-242)\/363)\/(6\/279).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 + 1 + m)*(3 - 3 + 5).\nAnswer: 5*m + 15","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16\/6)\/(11*(-640)\/(-71280)).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**2 + 8*f + 1. Let p be j(8). Let r be 13 + 1*-4 + p. Let q be (18\/12)\/(3\/r). Solve w - 10 = -q*v, 5*v - w - 4*w - 40 = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1053360 is divided by 168?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 8*p - 6. Let c(a) = -a**2 + 5*a + 3. Let q be c(5). Suppose -q*h = -2*h - 20. What is the lowest common multiple of g(3) and h?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -44*p**2. Let c(l) = l**2. Give d(c(h)).\nAnswer: -44*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.22 (b) 5 (c) 0 (d) -4 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3389568 divided by 192.\nAnswer: 17654","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1a593 + -1c?\nAnswer: 1a575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3540 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 0.03, -6\/5, 55?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8971 - 8970.9992274. Round h to three decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16252193 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 90509760 a multiple of 88?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/60*6\/2. Let y be 31\/21 + (462\/(-147) - -3). Sort -2\/17, 2, y, b.\nAnswer: b, -2\/17, y, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 239854 + -164005. What is the hundreds digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10 and 917165?\nAnswer: 1834330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(72)\/sqrt(288))\/(sqrt(30)\/(-4*sqrt(10))*5).\nAnswer: 8*sqrt(3)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 56 + -32. Is 12*-3*(-134)\/p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/7 - (-37)\/7. Let f be (-172)\/(-387)*(-351)\/(-12). Solve -8 = -r - c*w + f, r - 1 = -w for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4200 to the nearest 1000.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o\/((o\/((o\/(o*o*o**(-1)*o))\/o))\/o)))**(-2\/25))**(1\/6)\/(o**(-2\/3)\/(o\/(o\/(o*o**(-2\/9)))*o)*(o**0)**(2\/3)) assuming o is positive.\nAnswer: o**(544\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q + q + 0*q)*(1 - 1 - 3*q) + (-6*q + 2*q + 2*q)*(-3 + 6*q + 3) + 1 + 5*q**2 - 2*q**2 - 6*q**2.\nAnswer: -12*q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 469.90201 rounded to 1 dp?\nAnswer: 469.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 12 + (1 + -23 - -7). Which is the nearest to o? (a) -67 (b) -3\/8 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11248286251 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12a6 (base 11) to base 14.\nAnswer: 889","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*g - 11531 - 26533. What are the prime factors of g?\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-2702)\/(-3) - 7\/(-21)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the second derivative of 3721*u**5\/90 + 33733*u**4\/54 + 2200*u**3\/27 + 4*u**2 + 2990*u + 2. Factor q(x).\nAnswer: 2*(x + 9)*(61*x + 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 229078 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((0 + sqrt(5))*-6 - (sqrt(10)\/sqrt(2) + 1))*-5 + 3 + sqrt(45) + sqrt(5) + sqrt(1960)\/sqrt(8))**2.\nAnswer: 736*sqrt(5) + 10644","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that q**2\/3 + 40312*q\/3 - 40313\/3 = 0.\nAnswer: -40313, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 0*u**2 - 8*u + 77*u**3 - 6 - 78*u**3 + 2*u**2. What are the prime factors of z(-3)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 7, 23, 55, 109, 191, 307, 463?\n\"Answer: w**3 + 2*w**2 + 3*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/1*-4*-1. Let o = u + -73\/3. Put o, -4, 2\/21 in decreasing order.\nAnswer: 2\/21, o, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 242907204*p**4 - 85974155.\nAnswer: 971628816*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 994 and 1767474?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11 - 8. What is the nearest to 1\/3 in 3\/4, n, -1\/5?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - -24) + 1 + 1 - (-2326 - -2312).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - 38 = -3*x, -4*d + 4*x - 77 = -153 for d.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -8 - 11*c**3 - 28 + 39*c**3 + 17*c**3 wrt c?\nAnswer: 135*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence an when two letters picked without replacement from ssnnnsaans.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 9 = -2*p, -2*w - 242 = -2*p - 254. Let x(a) = 8*a - 15. Calculate x(w).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 14838261 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 139 (b) 10986 (c) 0.16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(-6)\/(-27)*(-6)\/(-6)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -282705987*l**2 + 96079136*l wrt l?\nAnswer: -565411974","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, 1, -10\/9, 11, -81.8, -19?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 35 + 3 + (-91 - -97) + 2\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - 0 - -2 - 5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d - 5*k - 7 - 1, 0 = 5*d + 2*k - 20. Solve -2*r - 5*y = 15, 3*r + 5 = d*y + 17 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the third derivative of -y**5\/60 - 3*y**4\/8 + y**3\/2 + 638*y**2. Let z(l) = -l**2 - 10*l + 4. Calculate -3*v(j) + 2*z(j).\nAnswer: j**2 + 7*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 1\/20 of a micrometer?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 36 and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 192632?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -46 (base 12) to base 10\nAnswer: -54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s + 4. Let v be a(-2). Suppose -5*h - 268 = v*i - 60, 170 = -4*h + 2*i. What is h rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-18)\/6 + (0 - -1*4))*26368?\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 4 + sqrt(847) + -1 + sqrt(35)\/(sqrt(40)\/(sqrt(24)\/sqrt(3))).\nAnswer: 2 + 12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 4\/2025 and 37\/450?\nAnswer: 4050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -34*b**2*p**2*u**3 + b**2*p**2*u + 78*b**2*p*u**3 - 2*b**2 + p**3 - 2*p*u wrt p.\nAnswer: -68*b**2*u**3 + 2*b**2*u + 6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(76) - sqrt(76)*-2) - (sqrt(76) - -6*(sqrt(76) + sqrt(76)*-2 - sqrt(76))))\/(sqrt(324)*-4 + -2*4*sqrt(4)).\nAnswer: -7*sqrt(19)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1, -0.06, -23470, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 2 c when three letters picked without replacement from ddddqddccddq.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(1\/6)*w*w**2*w)\/(w\/(w\/(w*w*w\/w**(-3\/8)*w))*w*w**(-10\/7)))**(-38) assuming w is positive.\nAnswer: w**(-703\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 801 divided by 3\nAnswer: 267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 110381456 to the power of 1\/2, to the nearest integer?\nAnswer: 10506","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/7 (b) -0.02 (c) -0.4 (d) 2\/3 (e) -1.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 26611594?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * -10917550.\nAnswer: -5458775","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**3 + 7*s**2 - 2*s + 13. Let o be i(6). Let c = o - 31. Calculate the smallest common multiple of 12 and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15 - -16. Suppose 3*m - 4 = -4*x, 4*x - 5 + i = -4*m. Solve j - 2*c + 10 = m, -j - 2*j = -2*c + 18 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11374 > 11539?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iki when three letters picked without replacement from ikkkikkikkii?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 99 divide 28690927?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 560 + -558 - (-16 + -1)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**3 - 5*p**2 + 5*p - 2. Let c be m(-6). Let h(b) = 7*b - 2. Let d be h(c). Suppose 3*i = 7 + d. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2 - -13 - (-2 - -11)) + 0 + 539\/33. Factor 2\/3 - o*n**2 + 1\/3*n.\nAnswer: -(5*n - 1)*(11*n + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21634023 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -15*t + 70. Let m be f(5). Which is the biggest value? (a) -0.08 (b) 6 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -508*o**3 + 2 - 5*o - 10*o**4 - 2*o**4 - 2*o**2 + o**2 + 510*o**3 to z*o**4 + s*o**2 + a*o**3 + r*o + h and give r.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.34 - 0.24. What is the biggest value in -5, s, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2.03 - 84.97. Let s = -48 - b. Let r = s - 33.3. Round r to zero decimal places.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*b**4 - 2490100*b**3 - 4980212*b**2 - 2490108*b.\nAnswer: 4*b*(b - 622527)*(b + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 d when two letters picked without replacement from iimmcmmddniiiid?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 7 = -3*s, 0 = 5*p + 3*s - 7. Sort 4, p, 1 in decreasing order.\nAnswer: 4, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 e, and 1 u when three letters picked without replacement from {p: 1, v: 2, e: 1, u: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 93546760 to the power of 1\/2, to the nearest integer?\nAnswer: 9672","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.0976? (a) -5 (b) 0.3 (c) -2 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 + 1 = -2*g. Let v = g - -23. What is the highest common factor of v and 80?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1\/4))**(-11\/4)\/(k**(-11)\/k*k**(-9\/4)*k*k*k) assuming k is positive.\nAnswer: k**(191\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -39\/1210 and -97\/5566?\nAnswer: 27830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.1 (b) -0.9 (c) -0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91*q - 52*q + 485 = -1374 for q.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 9*a**3 - a**2 + 3*a - 1. What is u(1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -16, -51, -144, -325, -624?\n\"Answer: -5*n**3 + n**2 - 3*n - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z = 5*u + 66, -5*u - 33 = -4*z + 1 for u.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 29\/53 + -652\/901. Is -1 bigger than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*v = 41*v + 14. Solve v*i = 5*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -4 (b) 0.2 (c) -37\/43\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0\/1 - (-84)\/2. Suppose 338*q = 337*q + 3. Suppose -2*x - q*t + 107 = 3*x, s = 2*x + 2*t. Calculate the greatest common divisor of 55 and x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -45 + 32. Let x(f) = -f**2 - 12*f + 19. Let s be x(n). Let w(m) = -m + m**3 + 0*m**2 - 2*m - 2*m**2 + s*m**2. Determine w(-4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 160*t**2 - 2050*t - 65. Let w(o) = -5*o**2 + 64*o + 2. Let x(k) = -2*g(k) - 65*w(k). Factor x(f).\nAnswer: 5*f*(f - 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/88 and 15\/1298.\nAnswer: 5192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -720251 (base 8) to base 15\nAnswer: -4a692","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 38.5 - 38.5. Let i = 0.676 + -0.896. Put -2\/15, i, -0.4, b in decreasing order.\nAnswer: b, -2\/15, i, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1203? (a) -0.4 (b) 0.4 (c) -1\/5 (d) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 737979 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 105, 1, -5 in increasing order.\nAnswer: -5, 1, 105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 134242?\nAnswer: 2, 67121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -334 - 258*z - 264 - 2*z**2 + 30*z - 68.\nAnswer: -2*(z + 3)*(z + 111)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((a\/(a\/(a\/a**(-2\/5)*a)))\/a)**(-1\/35))**22)**(-24) assuming a is positive.\nAnswer: a**(528\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000 (base 2) in base 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*f - 7 = -0*h + 3*h, 3*f = -6 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -151*m - 1263 - 3245 = 45*m for m.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-102)\/(-8) + (-6 - (-126)\/24). Suppose -20 = 4*z, 15*y + 948 = r*y - 3*z. Let s = -504 - y. What is s rounded to the nearest 10?\nAnswer: -190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 14 = 4*o. Suppose -5*x - 13 = -o*r, 4*x + x = 5*r - 15. Suppose 2*j = -c - 7, 5*j - c = 3*c + 2. What is the nearest to r in 5, 0, j?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4808)\/96 + (-876 - -927).\nAnswer: 11\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7\/9 + -37\/36. Let a = -3 - -7. Put a, z, -2\/3 in increasing order.\nAnswer: -2\/3, z, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the first derivative of -q**2\/2 - 509. Let h(d) = -1739*d + 2. Determine m(h(t)).\nAnswer: 1739*t - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**2 + 68*w - 31. Let k be g(20). Suppose k = 6*m - 427. Is 13 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15036, 15038, 15040, 15042, 15044, 15046?\nAnswer: 15048","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bpeeiffiffik. Give prob of sequence fe.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 24*z**2 + 533*z - 2733. Determine u(5).\nAnswer: 532","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3250 - -42?\nAnswer: 3332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 3*j**2 + 2*j + 12. Suppose -37*p = -32*p - 185. What is the remainder when k(-7) is divided by p?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 + -12b7?\nAnswer: -12b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 6, h: 13}. Give prob of sequence hrhh.\nAnswer: 143\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and 2162.3.\nAnswer: 2162.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (50 - (44 - (-20 + 38))) + (86 - 2)?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 561735, 561751, 561767?\n\"Answer: 16*b + 561719","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:51 AM and 6:04 PM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 133 - 130. Solve -12 = -k + 5*k, -4*k = r*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 62438?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3311.92886 + 3312. Let s = -0.075 + b. What is s rounded to four dps?\nAnswer: -0.0039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9 - -9. Suppose -c = -o + 2. Is c*((-202)\/4 - -2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0, -1.2, -0.11, -0.2, -8, -3, -1\/11?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**2 - 393*d + 9130.\nAnswer: -(d - 22)*(d + 415)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 21805773 to the nearest integer?\nAnswer: 4670","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1053 and 201669?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*j - 10*j - 10*j + 33*j + 9*j**2 + 46 in the form c*j**2 + z + p*j and give z.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fc when two letters picked without replacement from fchcfccfgccfcgfgzfc?\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.31202 + 0.15202. What is the fourth biggest value in 2, 0, w, 0.06, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 151*z**2 + 155*z**2 + 149*z**2 - 453*z**2.\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bxibxubbbibbbu. Give prob of picking 1 u and 2 i.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 757699?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 313, 331, 369, 427?\nAnswer: 505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*p**2 + p**2 + 8*p**2)*(3*p + 0 + 0) in the form x*p**3 + z*p**2 + a + q*p and give x.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(126) - -5*(sqrt(126) + (sqrt(126) - (sqrt(126) - 2*sqrt(126)))))\/sqrt(2)*3*-2*-3.\nAnswer: 864*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8223 - 8221. Is 85\/46 at least h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the first derivative of 0*k + 0*k**2 - 9 - k**4 + 13\/3*k**3. What is the third derivative of v(x) wrt x?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/(c**(1\/16)*c))\/c*c)\/(c*c**(7\/6)))\/((c**14*c)\/(c**(-1\/10)*c*c)) assuming c is positive.\nAnswer: c**(-3679\/240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -742*l**3 - 8 + 8.\nAnswer: -742*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (76\/10)\/((-2)\/(-40)*-4). Put -5, q, 5 in ascending order.\nAnswer: q, -5, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**2 + 12*s - 8. Let m be l(11). Differentiate -n + m*n + n - 5*n + 1 wrt n.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 235515827 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 312 - a**2 + 101*a + 24*a - 82 + 9*a**2 - 3*a**2 = 0 for a.\nAnswer: -23, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/5*w**2 - 6\/5*w + 4\/5.\nAnswer: 2*(w - 2)*(w - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - s**5 - 1 + 24*s**5 - 6*s**5 + 8*s**5 + (0*s**2 + 3*s**2 - s**2)*(0*s**3 - 2*s**3 + 3*s**3).\nAnswer: 27*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 680, 679, 678, 677, 676, 675?\n\"Answer: -j + 681","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 5*w + 30 = 0, -28 = -4*j + j - 2*w. Suppose 2*d + j = 3*h, 0*d - 8 = -h - 2*d. Solve -4*s - 28 = h*q, -q = 2*s - 0*s + 11 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the third derivative of 0 + o**2 + 4*o + 1\/240*o**6 + 0*o**3 + 1\/1260*o**7 + 1\/180*o**5 + 0*o**4. Determine l, given that m(l) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -712413? (a) -3 (b) 2\/7 (c) 5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 562*q - 3049. Let f(i) = i. Give f(m(x)).\nAnswer: 562*x - 3049","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/3, 76\/3, 0, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/18 + 93\/(-108))*-1.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 3*n - 3. Let z be (-202)\/(-12) + (-4)\/(-24). Suppose 0*w - 20 = w. Let y = z + w. Let d(u) = -3*u + 4. Determine y*d(l) - 4*t(l).\nAnswer: -3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**3 + 10*b**2 + 8*b + 21. Suppose -3*s + 2*h = 31 + 2, 0 = -2*s - h - 15. Does 27 divide i(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 48 - 41. Suppose 0 = n*m - 75 + 5. What is the highest common factor of m and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 + 2)*(3 - 66*r + 20*r - 4 - 279*r) in the form o*r + k and give o.\nAnswer: -650","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.3 * 57694.\nAnswer: -132696.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 25*c + 9. Does 20 divide u(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (12\/30*5)\/(321\/9). Which is smaller: -1 or d?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7450386?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 - 34*u**3 + 341*u**2 + 33*u**3 + u + 5416*u**2.\nAnswer: -u**3 + 5757*u**2 + u - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 11011222022221 (base 3) to base 10\nAnswer: 2223691","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*c + 140 = 14*c. Solve -v + 0 = d + 2, -4*v + c*d = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -15669*n*y + 14263*y + 2 wrt n?\nAnswer: -15669*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 38 + 68 = 0. Let z be (-1 + 5)*(-15)\/(-12). Suppose 2*m + 3*m = z*i - 40, 5*m - q = -2*i. Is 10 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 75*l**5 - 1365*l**4 - 5118*l**3 + 15426*l**2 - 11853*l + 2835 = 0?\nAnswer: -5, 3\/5, 1, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 32303, 32302, 32301, 32300, 32299?\nAnswer: 32298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*m - 203 = -603 for m.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -267*c - 717*c = 5*c - 5920 - 11882 for c.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-46)\/(-6)*(-20)\/30 and 71\/24?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 693480 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b. Let w(u) = 2*u - 3. Suppose 10 = -2*k - 0*k. Let f(g) = g - 1. Let n(l) = k*w(l) + 15*f(l). Calculate n(s(t)).\nAnswer: 5*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4212534 (base 6) to base 3.\nAnswer: 101100222111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 41 = -10. Suppose 7 = 4*s - 5. Suppose s*c + h - 15 = 0, -c + 8*h - 4*h = -5. Solve 3*b + f = -y, -c = 2*y - 4*b - 21 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 3*o + w - 7, -20 = -4*o + w. Suppose 3*g + o*f = -f + 71, -5*g + 111 = f. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 64 or 7.8932?\nAnswer: 64","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9 + 89. Let o be (-2)\/(-6) + i\/(-24). Is (4\/(-3))\/(o\/27) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 6*j. Let i(q) = q**2 - 6*q - 4. Let o(n) = 8*n**2 - n. Let g be o(1). Let r be i(g). Let v(t) = r*t**2 - 5*t**2 + t**2 + 3*t**2. Calculate x(v(m)).\nAnswer: 12*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 4, -234 in decreasing order.\nAnswer: 4, -7, -234","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 380 a factor of 220772?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 54663 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -17*b**2 + 0 + 18*b**2 + 0. Let h(t) = -7*t**2 - 6*t - 8. Let a(d) = h(d) + 6*l(d). Determine a(-6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 2 c, and 1 a when four letters picked without replacement from kcbyccaccbyacacccya?\nAnswer: 36\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -928700 to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - k + 13 = -49, -7 = -j - 2*k. Let o(t) = t + 4. Let n be o(0). Solve -u = -5*i - n*u - j, -i = 3*u + 5 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31763322 is divided by 75?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 18*q + 1. Suppose 0*z + 5*z - 70 = 0. Let o = 15 - z. List the prime factors of h(o).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86*p = 91*p - 2*g - 44, -4*p + 36 = -2*g for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 4 + 0*b**2 + 3*b**2 + 0 + 2 - 9*b = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes before 12:28 PM?\nAnswer: 7:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*-2*(((sqrt(88) - (sqrt(88) + (sqrt(88)*5 + sqrt(88) - sqrt(88)))) + sqrt(88))\/sqrt(4))\/(sqrt(176)*5 + sqrt(176)).\nAnswer: 5*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1170 divided by 45?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -106 - -316\/3. Which is the smallest value? (a) -2\/11 (b) -0.2 (c) j (d) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 7228.0908 minutes?\nAnswer: 0.7170725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*t + 3*t + 0*t)*(10*t + 2*t - t).\nAnswer: -44*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 783566295.\nAnswer: 3, 5, 17, 71, 113, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*i**4\/7 + 64*i**3\/7 - 256*i**2\/7.\nAnswer: -4*i**2*(i - 8)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3 - (-11 - (-408)\/28). Let v be (2 - (-1 - -2))*-3. What is the third biggest value in 3, c, 5, v?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 - 9. Let i = 0 + 4. Suppose 0 = -5*y + y - 12. Which is the second biggest value? (a) i (b) x (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24915536 a multiple of 152?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16464033 is divided by 111.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 17805214 and 13468.\nAnswer: 462935564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -31*g + 15*g + 80. Let a(t) = -t**2 - 4*t - 1. Let r be a(-3). Suppose -r*y + 3*y = g. Calculate the lowest common multiple of y and 7.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 281.03, -10, 3 in decreasing order.\nAnswer: 281.03, 3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the second derivative of c**7\/210 - c**6\/50 + 3*c**5\/100 - c**4\/60 - 17*c. Let o(g) = 0. Calculate g.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*q + 4*q - 2*q**2)*(0 + 6 - 11)*(-8 - 5 + 12).\nAnswer: -10*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 242 + -234. Let g(f) = 2 - f**2 - 15*f - 4*f + 11*f - n. Give g(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**2. Let k be g(-2). Suppose -5*v = -2*v - 12. Suppose 6*m = v*m + 56. Solve 4*x - 2*x = -k*c - m, -5*x = -4*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b - 17 + 7. Solve 5*y + 0*y - 10 = 0, 0 = b*f + 4*y - 14 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9\/(-1*756\/168)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3295605.\nAnswer: 3, 5, 219707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 95520159?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -457 + 8681\/19. Which is the closest to -0.4? (a) -1\/4 (b) 0 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*i - 26 - 2 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 241 - 245. Let i = 5.7 - 6. Which is the biggest value? (a) -0.2 (b) w (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 4, l: 1, z: 3, i: 1, h: 4}. What is prob of sequence hhl?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**3\/(t*t**(3\/7)*t*t))\/(t**(-2))**(1\/69))\/((t**(2\/7)*t**(-5))\/((t*t\/(t\/(t\/(t*t**(-2))))*t*t)\/t**3)) assuming t is positive.\nAnswer: t**(3050\/483)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*j**2 - 116144*j + 11186688 = 0. Calculate j.\nAnswer: -29132, 96","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -18*o - 16. Let f be d(-11). Suppose 0 = -2*i - 4*h + 150, -3*i + 39 = 4*h - f. What is the tens digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 - -3. Let y = c - -2. Let x = -0.6 + 1. What is the third smallest value in y, x, -0.1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/16 (b) 7422 (c) 1 (d) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -643, 3462, 7567, 11672, 15777?\n\"Answer: 4105*u - 4748","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together 86782035898 and 0.\nAnswer: 86782035898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gkknkkkkkknnnkngkkkk. Give prob of picking 2 k and 1 g.\nAnswer: 13\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -789*y + 21114 = 778*y - 1558*y. What are the prime factors of y?\nAnswer: 2, 3, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -34326896 less than or equal to -34326895?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -169*d**2 - 301689*d + 382731222?\nAnswer: -338*d - 301689","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*r = 5*r + 52860. Let v = r + -11477. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1823 - 32939\/18. Find the common denominator of 23\/6*63\/(-14) and q.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h + 5*h - 2*h)*(-7 - 8 + 3)*(5*h**2 - 2*h**2 - 4*h**2) + (-3*h + 0*h + h)*(-3*h**2 + 0*h**2 + 4*h**2).\nAnswer: 10*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**3 - 2*y**2 - 4. Let x = 9 + -5. Let a be g(x). Let s = -8 + a. Solve 2*d = 7*d - s for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k - 13. Give v(-4).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -346 + 1400. Let o = -502 + j. Suppose o - 150 = 3*u. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -758*v - 9892. Determine w(-17).\nAnswer: 2994","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -256, -251, -220, -151, -32, 149, 404?\n\"Answer: 2*x**3 + x**2 - 12*x - 247","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 909 divided by -259.\nAnswer: -909\/259","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 4*q - 6. Let m = 2 - q. Let a be -2 + m - (2 + -5). Sort -5, 1\/3, a in descending order.\nAnswer: a, 1\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -62 + (-314)\/(-1256) + (-158)\/(-8)\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 9 - 4 - (-3 + 6). Suppose -12 = -l*k - 4. Suppose k*q + 198 = 6*q + 3*y, 0 = -4*q + 5*y + 440. Does 21 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6915092?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -c + b202d1?\nAnswer: b202c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1027415134274 - -4.\nAnswer: 1027415134278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 69.9768 centuries to months.\nAnswer: 83972.16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y + 2*q = 2, y - 70 - 13 = -2*q - 93 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120*v - 3*s = -115*v - 99993, v + s - 20001 = 0. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 27*j**2 + 28808*j - 28808*j - 9 - j**2 + 4*j**2 + 0*j**2 - 2*j**2 + 0*j**2 + 3*j**2 + (0*j - 2*j + 4*j)*(1 - 1 + j) + 5*j**2 - 3*j**2 + 0*j**2.\nAnswer: 35*j**2 - 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 10*f**2 - 49*f + 113. Is r(20) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-171)\/15)\/(0 - (-2)\/(-40)). Suppose -668 = -4*w + g. Suppose a = -a + w. Is 14 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.5 - -2.5109. Let k = 0.01088676 - y. Round k to six decimal places.\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and 78.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1176030 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: Let m be 2\/7 + (-594)\/(-126). Suppose 0 = -m*b - w - 7, 5*w - 3*w = -4*b - 8. Let l = -10.4 - -10. What is the second smallest value in l, b, 2\/5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -409112 to the nearest 1000.\nAnswer: -409000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -156 + 156.1. Let d = 10.4 + -10.5. What is the nearest to x in d, -4, -2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 3.2682 and 0.55?\nAnswer: 2.7182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 595*b**2 + 727102 - 727102 to f + r*b + z*b**2 and give z.\nAnswer: 595","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20*(-104)\/14560)\/((-2)\/12).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 5*d = -8, 0 = -4*f + 41*d - 39*d - 10. Let n be -13*258\/18*f. Calculate the highest common factor of 13 and n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*-1418\nAnswer: -1418","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6689 + 3368 + 2*d + 3380.\nAnswer: 2*d + 59","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.7 + -1. Let a = 2.3 + o. What is the second biggest value in a, -2\/21, -0.2?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 903168\/5 + 2688\/5*l + 2\/5*l**2.\nAnswer: 2*(l + 672)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(15*(-65)\/600).\nAnswer: -16\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 12365 or 12367?\nAnswer: 12367","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -721*f - 680*f - 7486 = -1204*f for f.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * 0.153.\nAnswer: -0.612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 656091949 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-16095*n**3 - 2984*n - 3043*n + 6027*n)*(3 - 4 - 1) in the form d + a*n**3 + q*n**2 + y*n and give a.\nAnswer: 32190","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 24327*h**2*j**2 - 10892*h*j**2 + h wrt h.\nAnswer: 48654*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*s + 3*p = 64*s + 48, -119*p + 1127 = 2*s + 102*p for s.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3100844?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 28 - 28. Suppose -4*b + 6*b - 32 = z. Suppose b = 2*r - 8. What is the least common multiple of 16 and r?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = 11*d + 1. Let z(y) = -2*y**3 - y**2 + 2*y - 1. Let l be z(-4). Suppose -d*r = -f + 2*f - 25, -l = -3*f - r. Is 7 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2\/6449 - -83831\/19347. What is the second smallest value in -4, 75, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**2 - 3*n + 5. Let u(l) = l**2 - 2*l + 4. Let r(x) = -158*x + 9. Let f be r(3). Let g = f + 461. Determine g*u(a) + 3*w(a).\nAnswer: -a**2 - a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(12)\/(sqrt(4)*-1) + -5 + sqrt(33)\/(sqrt(44)\/sqrt(16)).\nAnswer: -10 + sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 392 and 616?\nAnswer: 4312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 280 - 173 - 107 + 2*j.\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 7*x. Let d(i) = 3. Let n(h) = h - 2. Suppose -5*v + 2*w - 22 = -3*v, 4*v = -3*w - 9. Let g(f) = v*n(f) - 4*d(f). Determine g(q(t)).\nAnswer: -42*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of g**3*k - 3*g**3*n**2 - 55*g**2*k*n**2 + 3*g**2*k + 2*g*k*n**2 + 2*g*n wrt n.\nAnswer: -6*g**3 - 110*g**2*k + 4*g*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 1377191?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 375 = -3*z, 13*z = -2*y + 17*z + 200. Does 23 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41.94883ml to litres.\nAnswer: 0.04194883","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*-1*(-58)\/(-87)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + 34 + (-4 - (-8 + (2 - -4)))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 + 4. Let o(u) = -u**2 + 5*u - 3. Let b be o(m). Let d be (7600003 - 1) + b + -3. What is d rounded to the nearest one million?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7.085 - -7.563414. Let l = j - -0.032406. Let f = 0.51 - l. Round f to four dps.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 21*m**3 + 10*m + 9. Let p(i) = -11*i**3 - 5*i - 4. Let h(f) = -9*p(f) - 4*v(f). What is the second derivative of h(r) wrt r?\nAnswer: 90*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 10381, 10383, 10389, 10399?\n\"Answer: 2*s**2 - 4*s + 10383","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1249 < 1292?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5947?\nAnswer: 19, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -2*n**2 - 45*n + 22111. Calculate h(-117).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1467.\nAnswer: 3, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 120*w**2 - 36*w**2 - 34*w**2 - 3 - 33*w**2 - 21*w**2.\nAnswer: -4*w**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1*((0 - 13) + (-11 - 213\/(-3)))\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -61885636*r**3 - 12*r**2 + 424*r + 6 wrt r.\nAnswer: -371313816","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/(v**(2\/23)\/v))\/v)**(-1\/14)*(v\/v**(-2\/17))\/(v*(v\/(v\/(v\/v**(-28))))\/v))**(-20) assuming v is positive.\nAnswer: v**(218550\/391)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*1*sqrt(45)*-6)\/((sqrt(108) + (sqrt(108) + sqrt(108)*2)*-2 - sqrt(108))\/sqrt(12)).\nAnswer: -sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g = -2*g - 248. Suppose -2*i = 3*m - 98, 0*m = -2*m + 2*i + g. Let f = 12 - -4. What is the highest common factor of m and f?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 780 and 182?\nAnswer: 5460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.09, -2\/7, 5318, 3, 4 in ascending order.\nAnswer: -2\/7, 0.09, 3, 4, 5318","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2623999314?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 2*m**3\/5 - 668*m**2\/5 - 12672*m\/5 = 0.\nAnswer: -18, 0, 352","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g - 0*g + 2*d - 8, 0 = 4*d. Does 5 divide (g\/30)\/1 + 754\/30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Express 18*o**2 + 6 + 10*o**2 + 3*o + 14*o**2 + 16*o**2 - 50*o**2 as p*o + q + j*o**2 and give j.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - 28 - 8 = -4*w, -5*p + 32 = 3*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = i. Let w be ((-10)\/(-7))\/(1\/7). Solve -g - g + w = i for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-46417)\/(-2792) - ((-39)\/(-24) - 2) - 2.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 - 4)*(-2 - 1 + 1)*(-9 + 7*x**2 + 9) + 33*x**2 - 20*x + 20*x.\nAnswer: 61*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*((i\/(i\/i**(2\/37)))\/i)\/i*i)\/(i\/((i*(i*i*i\/(((i**35*i)\/i)\/i)*i)\/i)\/i)))\/(i**(-37))**(5\/6) assuming i is positive.\nAnswer: i**(-247\/222)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = 2*m + 12. Let x(q) = -8*q**2 + 4*q + 38 - q**3 - 39 + 3*q**2. Calculate x(m).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c. Let j(k) = 56*k. Determine j(o) - 7*s(o).\nAnswer: 49*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 5*w**2 - 235*w + 11. Let c be z(47). Let n(v) = -v**3 + 12*v**2 - 8*v - 27. Determine n(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**2 + 23*h + 132. What is m(-10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -376*p**2 + 22*p**2 - 268*p**2 in the form f*p + s + b*p**2 and give b.\nAnswer: -622","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and 2033511.73.\nAnswer: 4067023.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (18\/(-81))\/((-1)\/9). Suppose -r + 4 = -f, -h*r - 2*f + 23 = 7. Solve -2 + r = -4*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/36*2*1*(-3528)\/196?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dw when two letters picked without replacement from drwdwdwnndwnnwdw.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -c0c2 + -41?\nAnswer: -c103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 + -2.8. Let y = 15 + -10. What is the closest to q in -2, 2\/13, y?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(-3)*4\/((-8)\/9). Solve y - 2 = w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1232 - 22?\nAnswer: 1210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 742*r**2 - 42*r**2 + 1239*r**2 + 2*r to the form y + j*r**2 + q*r and give j.\nAnswer: 1939","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 111681.\nAnswer: 3, 12409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.0357 - 0.9643. Let r be (-8)\/(-26)*30\/2. Let i = r + -154\/39. Is w bigger than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2111 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -124 - -331?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -195*c = -187*c - 72. Let h be 8 - -34 - (-2 + c). Solve -5 - h = 8*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2760.1937 to the nearest 100.\nAnswer: 2800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/30 and -163\/275640?\nAnswer: 275640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0*(-4)\/(-8))\/(-1). Suppose -5*o = -s*o - 330. List the prime factors of o.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.6? (a) 8 (b) -1\/3 (c) 23.2 (d) -1\/8 (e) 2 (f) -242\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -9.02.\nAnswer: -6.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 2.01, -2\/3, 2 in increasing order.\nAnswer: -3, -2\/3, 2, 2.01","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -309, -3395, -12001, -28959, -57101, -99259, -158265, -236951?\nAnswer: -338149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) 1 (b) -1\/5 (c) -0.242 (d) -41\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -5, -18\/5, -7?\nAnswer: -18\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a millennium in decades?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2243312 + -113?\nAnswer: 2243144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 + 2 + -4 + -46 + 116496 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -67 + -12 + 20 - -11?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 45 = -6*p + 5*r, 3*p - 22 = 2*r. Suppose 4*i - 84 = p. Suppose -5*q + 33 + i = 0. Does 3 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the third derivative of 43*w**6\/6 + 359*w**5\/30 - 3*w**2. Find the third derivative of i(d) wrt d.\nAnswer: 5160","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4.79, -9, 0.4?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -20862 - -20861. Let z(p) = 25*p + 21*p - 16*p. Calculate z(t).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -2*p**3 + 87*p**2 + 42*p + 91. Let q be t(44). Let u(n) be the first derivative of -34 + 4*n + 1\/3*n**q + 2*n**2. Factor u(i).\nAnswer: (i + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 7 = 13. Suppose 4*t - 15 - 41 = -2*d, d = -p*t + 52. Solve t = 4*f + 4 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h + 2*h - 6*h + (2*h - 6*h + 2*h)*(3 + 1 - 3) + 0 + 0 - h + 17*h - 31 + 31)*(-5 + 4 + 0).\nAnswer: -12*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (112\/12)\/((-2)\/(-111)). Let c = -4 + 9. Suppose 0*x = c*i + x - t, 4*i = -x + 415. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 99, 96, 91, 84, 75, 64, 51?\n\"Answer: -c**2 + 100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -131060, -131678, -132298, -132920, -133544?\n\"Answer: -v**2 - 615*v - 130444","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*a = -2*p - 3*a + 24, -3*a - 4 = 4*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4, 5, 3, -2652 in descending order.\nAnswer: 5, 4, 3, -2, -2652","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -43.1 + 43.1. Sort x, -0.05, 4, 3\/5, 3 in descending order.\nAnswer: 4, 3, 3\/5, x, -0.05","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -25.952195169353 and 0.1.\nAnswer: -25.852195169353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -56\/297 + 6553\/70983. What is the common denominator of j and -89\/10?\nAnswer: 2390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*(i\/i**3)\/i*i**(1\/5))\/(i\/(i*i**(-1))*i*i**(1\/5)*i)*(i**(-2))**(-44)\/(i\/i**(-2\/3))**(4\/5) assuming i is positive.\nAnswer: i**(245\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m + 318 + 1266. Suppose 5*f - m = 44. Calculate the greatest common divisor of 66 and f.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/26)\/((-50)\/325)*3.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*a = 13*a + 32. Let s(i) = 4 + 5 - a. Suppose -3*c = 6 + 9. Let x(j) = -2*j - 7. What is c*s(f) - x(f)?\nAnswer: 2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 126724 and 146220.\nAnswer: 1900860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7785 + 7796 + 7793 - 675*t - 23374.\nAnswer: -675*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w*w*(w\/(w\/(w\/(w*((w*w\/(w**(-1\/19)*w*w*w))\/w*w*w*w)\/w*w))*w))\/w*w*w**(1\/25) assuming w is positive.\nAnswer: w**(-6\/475)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-4 + -4 + -2*sqrt(320) + -5 - -5*(sqrt(320) + 1 + -3)*-5)**2.\nAnswer: -15984*sqrt(5) + 234652","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 0 - 1)*(0 - 3 + 2) - 4 - 2 + 1)*(-6*a**3 - a**4 + 4*a**3 - 14*a**3).\nAnswer: 4*a**4 + 64*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qwwwwzqwqqqqzwqsw. What is prob of sequence zszw?\nAnswer: 1\/4080","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-728)\/(-24))\/7 + -5.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1530, -13485, -33406, -61293, -97146?\n\"Answer: -3983*w**2 - 6*w + 2459","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ulzlauat. What is prob of sequence luu?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-133)\/98 - ((-33)\/22 - -1)\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**3 + 5*b**2 + 5*b + 6. Determine v(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -4*u**2 + 6*u + 13. Let b(i) = -i**2 - 8*i + 2. Let o be b(-8). Let y(v) = -3*v + 5*v - 4*v**2 + 4 + 3*v**o. What is -2*f(g) + 7*y(g)?\nAnswer: g**2 + 2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -99833 in 2\/9, 0, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 717850898?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 2 + 1 - 426*m.\nAnswer: -426*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.23 + 1.25. Let f = -4 - -8. Which is the second biggest value? (a) x (b) -0.1 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 275 and 55.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 7562230.\nAnswer: 2\/3781115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-55)\/(-10) + -1*2\/4. Solve -5 = 2*p + l for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.052 + -0.148. Which is the second smallest value? (a) -0.1 (b) 4 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**3 + 9*w**2 + 10*w + 3. Let i = 11 + -11. Suppose 3*m - 35 = f, m - f + i*f - 15 = 0. Let o be r(m). Solve s + o = 1 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -76\/33?\nAnswer: -76\/33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 19610378.310000275 - 19610379. Let z = 0.69 + r. Round z to seven decimal places.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**2. Let m(n) = -n**2 + 13*n - 37. Let q be m(8). Let l(d) be the second derivative of 0 + 0*d**2 - 11*d + 1\/3*d**q. Give z(l(g)).\nAnswer: -4*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/6 - 1\/(-30)\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**3 - 5*i**2 - i. Let a be p(-5). Let m = -6 - -8. Let u(d) = d**2 + 6*d + 1. Let f be u(-6). Sort m, a, f in increasing order.\nAnswer: f, m, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, 21, -2 in decreasing order.\nAnswer: 21, 5, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**3 - 3*h**2 + h + 3. Let b be d(-3). Let m = b - -3. What is the third derivative of -m*n**2 - 2*n**5 + n**2 + 0*n**5 + 0*n**2 wrt n?\nAnswer: -120*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -13*h + 4. Let g(u) = -2*u - 334 + 334. What is g(d(i))?\nAnswer: 26*i - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9 and 4662.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1022342 to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 529658207 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) 0.054 (b) -2\/7 (c) 0 (d) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 2*(2*sqrt(10)\/sqrt(2)*3)**2 - ((sqrt(240)*-6)\/(sqrt(96)\/sqrt(288)))**2.\nAnswer: -25562","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 18226139 divided by 5?\nAnswer: 18226139\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 = 5*p + 4*i, i = 5*p - i + 2 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1.19 (b) 2\/9 (c) -2 (d) 3\/2 (e) -0.5 (f) -0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/700*21*10\/(-4).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2\/161 (b) -0.1 (c) 3 (d) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -44 + (80 - -5) - 82.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 9*p - 6. Let s be t(5). Suppose -4*m - 2*m = 168. Let g = m + s. Solve 4*x - g - 1 = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (46 - 48) + ((-40)\/(-14) - 1). What is the second smallest value in 6, -2\/3, -3, n?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 274889984 to the nearest integer?\nAnswer: 650","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f - 6. Determine p(5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1773 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: Let l = 297 + -294. Let a be ((-6000)\/9)\/(l\/18000). Round a to the nearest 1000000.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1732 + 1925. Does 59 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 3*t + 26 = 0, 3*t + 3 = -0*t. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -4*v**2 - 389*v + 2. Let o(k) = -5*k**2 + 1. What is 2*o(d) - 2*t(d)?\nAnswer: -2*d**2 + 778*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -58 take away -128?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.19762 * -19302\nAnswer: -3814.46124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 215207, 215208, 215209?\n\"Answer: s + 215206","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(2\/13)*u**(-2\/9))\/(u**(-17)\/u**(-8\/9)))**(-2\/13) assuming u is positive.\nAnswer: u**(-3988\/1521)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 14*o**4 - 2315*o**2*r**2 + 146015*r**2 wrt o?\nAnswer: 56*o**3 - 4630*o*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((96\/56)\/(-6))\/((-2)\/(-7)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -176 + 178. Suppose -12 = -5*h + i*h - 3*p, 16 = 2*h - 2*p. Solve h*m + 9 = 3 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 347*u + 252 = 343*u. What is the remainder when 12\/10*210\/u - -185 is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3187*i - 5 = 3186*i + 2*m + 17, 6*m = 18 for i.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2188 to the power of 1\/2, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 96 divided by 48.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*f - 3 - 4*f + 4*f**2 + f**4 + 9*f to the form i + j*f**2 + n*f**4 + w*f**3 + o*f and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 39 - 38.5. Which is the closest to 0.1? (a) -4 (b) 0 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that 3*h**2 - 3247890*h + 879065787675 = 0.\nAnswer: 541315","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 50693.37 centuries?\nAnswer: 5069.337","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1180331672?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 101905224 a multiple of 106?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -419, 1\/47, 1\/5, -2?\nAnswer: 1\/47","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 3*i**2. Let n(r) = 145160*r**2. Determine v(n(f)).\nAnswer: 63214276800*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**2 + 1996*n. Let s(i) = i. What is a(s(p))?\nAnswer: p**2 + 1996*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 27 + -25. Solve -3*v = -i - 7 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 121036?\nAnswer: 2, 30259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 204 and -500.6?\nAnswer: 704.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -6*o + 4*o - 24, o - 78 = -4*k. Suppose -k*d = -14*d - 8796. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**4 - 21*s**3 - 198*s**2 - 444*s - 312.\nAnswer: 3*(s - 13)*(s + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 1062204?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 4, x: 1, b: 6, r: 3, s: 3, z: 1}. Give prob of picking 1 z and 1 x.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 57264 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38 - ((-11 - -12) + 79).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2032 is divided by 84.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h - 2*h + 3*h)*(-36*h + 6*h - 10*h).\nAnswer: 40*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the second derivative of o**4\/12 - 14*o. Let i(w) = -22*w. Let p(v) = -969*v. Let r(k) = -133*i(k) + 3*p(k). Determine x(r(l)).\nAnswer: 361*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 50.5 - 50. Let h = 0.1 + -3.5. Let j = -3 - h. What is the third biggest value in 3\/2, r, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*38\/1539*99*(-8)\/((-48)\/(-9))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -163*n**5 - 9 - 2*n**2 - 101*n**5 - 45*n**3 + 45*n**3 wrt n.\nAnswer: -15840*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 211 = -s + 806. List the prime factors of s.\nAnswer: 5, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -44*f**2 + 0*f + 4 - f - 7 + 37*f**2 in the form q*f**2 + h + b*f and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k + 3*k, -12 = -4*o + 5*k. Suppose -3 - 6 = -x - o*z, 0 = -2*z + 4. Suppose -3*p + 4*r = -x + 1, 4*p + 5*r = 13. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 203424 (base 5) in base 10?\nAnswer: 6739","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 201 + -1807\/9. Let a = -9630916\/9 - -1070102. Find z, given that -c*z**3 - 14\/9*z**2 - 4\/3 + 26\/9*z + a*z**4 = 0.\nAnswer: -3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02547882249 rounded to four decimal places?\nAnswer: -0.0255","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (x**2 - 2*x**2 - x**2)*(4*x**2 - 13*x**2 - 7*x - 13818 + 13817) to a*x + m*x**2 + c + w*x**4 + b*x**3 and give b.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 318*o**2 - 5*o + 1. Let r(p) = 318*p**2 - 6*p + 1. Let z(b) = 3*h(b) - 2*r(b). What is the tens digit of z(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3677?\nAnswer: 3677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 p when four letters picked without replacement from {w: 1, k: 2, s: 1, u: 4, z: 1, p: 3}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -302*d + 988*d - 649*d.\nAnswer: 37*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 31 (b) 0 (c) -36 (d) -1\/14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9*g*v*w**3 - 2*g*v + 396384*g + 108*v*w**3 - 6*v*w**2 + 8*v*w - 5*w with respect to g.\nAnswer: -9*v*w**3 - 2*v + 396384","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2527 is divided by 280?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-6))\/(5\/30)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x - 4*t - 29 = 0, 154*x - t - 7 = 155*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the third derivative of g**4\/12 + g**3\/6 - g**2. Suppose c - 12 = 2*s, 0 = s - 5*c + 15 + 9. Give u(s).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 118 - 112 - (3 - (3 - -1)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o = 63 - 75. Sort -4, 7, o.\nAnswer: -4, o, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -4*f**5 - 24*f**4 + 4*f**3 + 24*f**2 + 14. Let u(m) = -3 - m**4 + m**2 + m**5 - 6*m**2 - m**3 + 6*m**4. Let z(q) = 3*l(q) + 14*u(q). Factor z(c).\nAnswer: 2*c**2*(c - 1)**2*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**3 + 5*m**2 + 2*m - 9. Let v be p(-3). Suppose -3*f = v*h + 9, 5*h + f + 9 = -2*f. Let r(l) = -l**2 + 11. What is r(h)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uoouoouoooooouoouou. Give prob of sequence uo.\nAnswer: 13\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 3*d - 119. What is the remainder when d is divided by 540\/55 + (-2)\/(-11)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 798 divide 189405?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18 - 1 - (-9 - 11).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*t - 58 = 5*r, -6394*r - 5*t - 22 = -6393*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 10*f**3 + 3*f**2 - 3*f + 6. Suppose x - 2 = 1. Let t(n) = -50*n**3 - 14*n**2 + 14*n - 30. Let a(s) = x*t(s) + 14*m(s). Differentiate a(v) wrt v.\nAnswer: -30*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 149229 - 2902*r - 149229 + 11369*r - 3*r + 3*r + r + (0 + 2 - 4)*(-5*r + r + r).\nAnswer: 8474*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1040 + 11?\nAnswer: 1051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o + 720 = 18*o. Let y be (-4)\/(-20) + (-1870)\/(-25). Calculate the highest common factor of y and o.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 285004?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 85 + -125. Let g = l + 39. What is the nearest to g in -1, 3, -19?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -81, -151, -221, -291?\n\"Answer: -70*q - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 0 - 25 = -4*z, -g - 20 = -5*z. Let y = -607\/11 - -55. What is the closest to -1 in g, y, -2\/21?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6735991 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -6946, -1\/6, 3, 0.3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -359, -719, -1079, -1439, -1799?\nAnswer: -2159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5*h**3 + 192*h**2 - 10453*h - 49120609 wrt h.\nAnswer: 15*h**2 + 384*h - 10453","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 27.1966107 to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 462*z**3 + z**2 - 5*z - 5. Let y(u) = -464*u**3 - u**2 + 4*u + 4. Determine 4*a(w) + 5*y(w).\nAnswer: -472*w**3 - w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -925, -2110, -5369, -11752, -22309, -38090, -60145?\n\"Answer: -175*z**3 + 13*z**2 + z - 764","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 9 + 6 = 0. Suppose -3*j - g*i + 19 = 0, -j + 2*i + i = 3. Factor 1 - 3*u**2 + u + 2*u**2 + 0*u**2 - u**j.\nAnswer: -(u - 1)*(u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1157.948 to the nearest 10.\nAnswer: 1160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3100379728 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 37 - 37 - 13*w. Let m(q) = 2*q**2. Calculate m(a(f)).\nAnswer: 338*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -2*r + 13. Let m be a(0). Let b = 34 - m. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 128426203 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 93 - 92. Let z be 58\/(-87)*(30\/(-2))\/m. What is the greatest common factor of 16 and z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5682 is divided by 582?\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n + 1. Let h be v(2). Let y be (-2)\/(0 - (1 - 0)). Let p be (h - y\/(-2))\/(-1). Put 5, -1, p in descending order.\nAnswer: 5, p, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.038 - -0.338. What is the third biggest value in 8, -3, o, 4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 178?\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 48*y**3 + 50*y**3 + 14*y**2 - 15*y - 150*y**2.\nAnswer: 2*y**3 - 136*y**2 - 15*y + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 15*z**2 + 4. Let d(j) = 26*j**2. Give y(d(a)).\nAnswer: 10140*a**4 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 193604237 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 570899.02 + -0.02?\nAnswer: 570899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 119 and 68.\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, i: 1}. What is prob of sequence ia?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 23637 - 20942. Is b a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (-7 - -9) + 21 + -31.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 548723?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25718?\nAnswer: 2, 7, 11, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -887*o**4 - 7*o**3 + 8*o**2 + 15*o. Let i(s) = -s**4 + 2*s**3 + s**2. Let k(n) = 4*i(n) + r(n). Find the third derivative of k(l) wrt l.\nAnswer: -21384*l + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**2 - 4*k + 5. Calculate h(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**3 + 7*x**2 + 11*x + 4. Suppose 16*d - 73 = -159 + 1478. What is the remainder when d is divided by h(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 47358 and 180.\nAnswer: 473580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -5, -1, 26407 in ascending order.\nAnswer: -5, -1, 4, 26407","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 11111 (base 2) to base 11\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-24)\/30)\/((-2)\/(-15)). Let y(a) = a + 5. Let i be y(f). Let g be (i - 2) + 8\/(-4). Let o(d) = -2*d - 4. Calculate o(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + 24*i + i + 2 = -31, i = 14 - 15 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -4*d**3 + 13*d**2 - 44*d + 29. Let a(z) = 7*z**3 - 27*z**2 + 87*z - 57. Let x(u) = 3*a(u) + 5*m(u). Let x(f) = 0. Calculate f.\nAnswer: 1, 2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(-49)\/((-11907)\/(-9)).\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -505400?\nAnswer: -1\/505400","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 89 + -85. Let c(s) = s**3 - 3*s**2 - 4*s - 4. What is c(k)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**3 + 12*a**2 + 29*a - 197. Let c be j(11). What is the highest common divisor of 3483 and c?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -30*c - 1. Give y(3).\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 921731 to the nearest integer?\nAnswer: 960","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 124 - 5a?\nAnswer: a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1*(4\/(-6) + (-4)\/(-4)). Let h = 11.314 + -0.314. Which is the nearest to z? (a) 1 (b) 0.1 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -12, 1\/13199, -26?\nAnswer: 1\/13199","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 505 divided by -3\nAnswer: -505\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7314310?\nAnswer: 2, 5, 367, 1993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1679 - 1669.0062. Round s to zero decimal places.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -4*g**3 - 50*g**2 - 52*g - 4. Let n(i) = 5*i**3 + 46*i**2 + 50*i + 6. Let h(c) = 6*l(c) + 4*n(c). Factor h(a).\nAnswer: -4*a*(a + 1)*(a + 28)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 0.1038905mg?\nAnswer: 0.0001038905","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.18, 1\/2, 2, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -9\/5465 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t + 2*t - 30 = 0. Let n be 48 + (3 - (-3 - t)). List the prime factors of (n\/(-14))\/(4\/(-28)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 322.2285 kilograms in grams?\nAnswer: 322228.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -2*k + 17. Give m(-8).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -11213*d + 6*d**2 + 141 + 11220*d - d**3 - 138. Calculate j(6).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9 + 16. Let o = -7.1 + g. Put 1\/4, o, 0.2 in decreasing order.\nAnswer: 1\/4, 0.2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -9*g + 75. Let r be v(8). Solve -r*u = u + 8 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.16 * 3912.\nAnswer: -625.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*d**2 - 5*d**2 + d**2.\nAnswer: 17*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/8 and 23\/14.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the third derivative of -37*p**5\/60 - 29*p**4\/8 - 28*p**2 - 1. Find the second derivative of s(q) wrt q.\nAnswer: -74","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -82*d**2*o**2 - 3*d**2*o - 9*d*o**2 - 7*o**2 - 4*o wrt d?\nAnswer: -164*o**2 - 6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 8, -6, -2 in increasing order.\nAnswer: -6, -2, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 285*t**5 + 28400*t**4 + 46275*t**3 + 21100*t**2 + 2940*t = 0 for t.\nAnswer: -98, -1, -1\/3, -6\/19, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes after 5:02 PM?\nAnswer: 10:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -o**3 + 91 - 31 - 28 - 32.\nAnswer: -o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -382 + 383. Which is the nearest to p? (a) 0 (b) 0.1 (c) 11 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 - -1 - (-355 - -330)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(68))*-2 + 3.\nAnswer: -4*sqrt(17) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 925973357?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes after 4:03 AM?\nAnswer: 6:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**3 + 24217*w**2 + 2987655*w + 2963439.\nAnswer: (w + 1)*(w + 123)*(w + 24093)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -54 divided by -3026770\nAnswer: 27\/1513385","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 33848 - 33847.9963802. What is t rounded to 5 decimal places?\nAnswer: 0.00362","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2 + -6)*(-9)\/6. What is the remainder when 286 is divided by (-84)\/(-7) - (f + -9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -h*x**3 + 344*h*x**2 + 103*h - 12 wrt x.\nAnswer: -3*h*x**2 + 688*h*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 1 + 17 = 3*g, 0 = -4*g + 2*t + 22. Sort 9, -3, g, 3 in increasing order.\nAnswer: -3, 3, g, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 l, and 1 d when three letters picked without replacement from twldvttt?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 3*v + 165 + 582, 3*v = -15. Let g = -523\/2 + k. Calculate the common denominator of g and 83\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/42581 and -24\/1501?\nAnswer: 809039","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q - 28 = -4. Suppose -8 = 2*w - 2*h, 0 + 8 = q*w + 4*h. Is -2 + 4 - w*157 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (0 + (sqrt(13)*1 - sqrt(13)))**2 + (sqrt(52) + sqrt(104)\/sqrt(2))**2.\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7998762 centuries to millennia.\nAnswer: 0.07998762","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 2*d**2 - d**3 + 2*d**3 - 4 + 7 + 0 + 3*d. Is 24 a factor of p(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 187*h + 794*h - 185409 = 0. Let v = -26 + 68. What is the greatest common factor of v and h?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6903\/546 - 12)\/((-9)\/2 + 3).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1338, 10571, 35646, 84489, 165026, 285183?\nAnswer: 452886","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -82*z**2 - 9038*z - 2321913 wrt z.\nAnswer: -164*z - 9038","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1*((-78975)\/(-18))\/45*(-12)\/(-18)\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -12 - -12120?\nAnswer: 12104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 91\/2 of a millennium?\nAnswer: 45500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a litre in millilitres?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:16 AM and 6:10 PM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 9 - 20*i**2 + 0 - 9. Let u(a) = -6*a**2 + 5*a - 10. Let o(z) = 49*z**2 - 42*z + 84. Let d(g) = -5*o(g) - 42*u(g). Calculate k(d(h)).\nAnswer: -980*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14 - 14. Let s(u) be the first derivative of -u - 1\/3*u**3 + f*u**2 - 1. Find the first derivative of s(j) wrt j.\nAnswer: -2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -1 + sqrt(1152) + sqrt(1152) - (-2*(sqrt(24) + 2*sqrt(24) + sqrt(24)))\/(sqrt(12) - sqrt(1200)*-2))**2.\nAnswer: 8128*sqrt(2)\/21 + 2071568\/441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 138 - 54. Suppose r = 5*l + 9. List the prime factors of l.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.622407km in meters?\nAnswer: 1622.407","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 11303 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + 7)\/((1\/6)\/((-17)\/(-204))).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 23 + -116\/5. Let z be (-39)\/(-63) + (-4)\/14. What is the nearest to z in -4, y, -2\/9?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 308*q**5 - 27656564*q**4 + 620821527932*q**3 + 1217536061940*q**2 + 572496912288*q - 24189964848 = 0.\nAnswer: -1, 3\/77, 44898","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 28225 smaller than 28229?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put together 291 and 38.59049314.\nAnswer: 329.59049314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -2*v**2 + 16*v - 8. Let c be k(7). Let y(a) = -a**3 + 8*a**2 - 9*a. What is the least common multiple of y(6) and (-116)\/(-6) + 4\/c?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**2 - 6*m + 1. Let g be k(-6). Let d be (g\/3)\/(3\/(-9)). Which is bigger: -1\/33 or d?\nAnswer: -1\/33","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -q**5 + 1718342*q**4\/5 - 7560641*q**3\/5 + 11340932*q**2\/5 - 6873284*q\/5 + 1374656\/5 = 0. What is q?\nAnswer: 2\/5, 1, 2, 343664","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2774107?\nAnswer: 7, 396301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 421 is divided by 64.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1\/10)\/c*c**(-1\/11))**(-2\/47) assuming c is positive.\nAnswer: c**(131\/2585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:44 PM and 7:44 AM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y + 5*r = r - 20, 0 = 2*r for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 175*(-30)\/1260 + (-6)\/(-16)*4.\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-450)\/(-60)*(-4)\/(-18)*(-6)\/(-5)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/4308480 and -71\/17952.\nAnswer: 4308480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 974 a factor of 1719110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21281309?\nAnswer: 7, 3040187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - (-10)\/(-6))\/(1\/3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-8 - -14)*((-16)\/108)\/4. Put -0.46, -2, s, 4 in ascending order.\nAnswer: -2, -0.46, s, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 14*y + 18 - 21 - y**2 - 35*y + 9. Let a be g(-21). Suppose a*x - 263 = 457. Is 15 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1020?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8103377, -16206760, -24310143?\nAnswer: -32413526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.89 rounded to the nearest ten?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 66, 2, -0.176, -5, -3\/7 in descending order.\nAnswer: 66, 2, 0.3, -0.176, -3\/7, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 634388160.\nAnswer: 2, 3, 5, 7, 67, 1409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 4 = 4*u, 0*u + 2*u - 5*t + 32 = 0. Let c(d) = -4*d + 12. Let p be c(u). Calculate the common denominator of 149\/12 and (-87)\/p - 6\/(-12).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.8985 - -0.9. What is u rounded to four dps?\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 174738899 - 174738899 - 5*c**3.\nAnswer: -5*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 896 and 72.\nAnswer: 8064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*k**2 + 3*k**2 - 310*k**3 + 145*k**3.\nAnswer: -165*k**3 + 3*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1645, -1572, -1499?\n\"Answer: 73*o - 1718","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.1+35\nAnswer: 34.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 4*n + 3*i + 7 = 0, 3*n = -i + 3. Let p = n + 11. Suppose 0*a = a - p. List the prime factors of a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 909 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 69414?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 2, n: 2, u: 1, a: 1, g: 2, r: 1}. What is prob of picking 2 g, 1 u, and 1 a?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 40.67838nm in meters?\nAnswer: 0.00000004067838","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the first derivative of 54 - 2*t**2 + 3\/2*t**4 + 42*t + 0*t**3. What is the first derivative of c(i) wrt i?\nAnswer: 18*i**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2653770 to the nearest ten thousand.\nAnswer: 2650000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -125330189 to the nearest 100000.\nAnswer: -125300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 678*g = 780*g + 3468 for g.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -40 - -29. Let v be (-2)\/u + 876\/22. Suppose 20 = 6*p - 2*p, 5*l - v = -5*p. Solve -5*r = 0, -l*r + 5*r = -5*c - 5 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8573 + 281 - 849)*(-4*j + 5*j - 3*j).\nAnswer: -16010*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 100 or -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14309\/5 + 2862. Let r = 0.44 + 2.46. Let f = r + -3. What is the third smallest value in -1, f, 0.3, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b - 7. Let i be w(-2). Suppose -4*q - q = -z - 11, 3*q = 4*z + 10. Put 5, i, q in ascending order.\nAnswer: i, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57\/2 of a litre in millilitres?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1562, -49, 42, 2 in descending order.\nAnswer: 42, 2, -2, -49, -1562","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -3.6 smaller than 308813?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 244 = 2*d - 3*h, 0*d = 3*d - h - 380. Let o = -84 + d. Let y = o + -29. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(1 + 0) - -8. Suppose -f*q = -q - 35. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + -6 + (-9 - -10)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -207503, -207501, -207497, -207491, -207483, -207473, -207461?\n\"Answer: y**2 - y - 207503","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1899 - -2966. Suppose -2*t + 537 = 3*c, -4*t + 5*c - 4*c + d = 0. What are the prime factors of t?\nAnswer: 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*s + 7*s**2 + 905 + 880 - 1788.\nAnswer: 7*s**2 + 11*s - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2414183?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2 - 2)\/5 + (-14522674)\/(-5310174). Let a = v + -227\/83. Let l = a - -3102953\/319890. Calculate the common denominator of l and -43\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14 - 6. Let c be 802\/k + (-5)\/20. Suppose 5*z = c + 10. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -194226, -194229, -194232?\n\"Answer: -3*o - 194223","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13284702)\/(-2329224) + (2 - (0 + 30\/8)) - 4?\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -191292 - 191290 + 382583. Let q(a) = 4 - 10 + 4*a - 3*a. Give -q(j) - 5*x(j).\nAnswer: -j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 129732 to the nearest integer?\nAnswer: 360","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the second derivative of 0 + 5*u + 1\/16*u**3 + 1\/32*u**4 + 0*u**2. Factor s(x).\nAnswer: 3*x*(x + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the first derivative of b**7\/14 - b**3\/2 - 3*b + 2. Let d(m) be the first derivative of l(m). Find the second derivative of d(o) wrt o.\nAnswer: 60*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**3 + 7*w**2 + 5*w - 10. Let y be o(-6). Let z = 4.88 - -0.12. Which is the smallest value? (a) z (b) y (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -213, -191, -163, -135, -113?\n\"Answer: -p**3 + 9*p**2 + 2*p - 223","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -64415260 divided by 455\nAnswer: -141572","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1910 - -3079. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 2 o, and 1 y when four letters picked without replacement from {i: 2, o: 6, y: 2, c: 1, t: 1}?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes after 7:52 AM?\nAnswer: 2:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 1911*k - 97467. What is r(51)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 41*j + 101. Let i(v) = 18*v + 49. What is 13*i(m) - 6*y(m)?\nAnswer: -12*m + 31","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 452 = -c, c = -m - 96 - 60. Let a = 275 + m. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 + -2. Suppose i + 3 = -n, -n + 5*i = p*n - 33. What is the remainder when 5 is divided by n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 + (113 - 87 - -34).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 50 - 43. What is the first derivative of h*o + 5*o - 6 + 25 wrt o?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes before 8:14 PM?\nAnswer: 10:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -120*g**3 - 35*g. Let h(n) = n**3 - 11*n**2 + 10*n + 2. Let i be h(10). Let l(f) = 2*f - 7641*f**2 + 7*f**3 + 7641*f**2. Give i*c(k) + 35*l(k).\nAnswer: 5*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 less than 777506?\nAnswer: 777424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 139937381*g**2 - 79885854*g - 1 wrt g?\nAnswer: 279874762","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 2*a**3 - 8*a**2 + 13*a - 14. Let k be q(5). Is 100 bigger than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 2*l. Let k(z) be the second derivative of -2*z**3\/3 + 2*z**2 - 189*z. What is k(o(m))?\nAnswer: -8*m + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -45979149740 to the nearest one million.\nAnswer: -45979000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 + 6 = -2*j. Let d = 75 - 87. Let b = j - d. Solve -3 = -b*n + 7 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*u**4 - 4*u**4 + 2*u**4 + (u**4 + 0*u**4 - 2*u**4)*(-2 + 1 + 0) - u**4 + 105*u - 105*u + (2*u - 2*u + 3*u**2)*(u + u**2 - u) - u**4 + u**4 - u**4.\nAnswer: 3*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 116, 204, 292, 380, 468, 556?\n\"Answer: 88*l + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1125, -1131, -1137?\nAnswer: -1143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the second derivative of p**5\/20 + p**4\/4 - 2*p**3\/3 - p**2 - 7*p. Suppose 5*g + 5 + 15 = 0. Give r(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17540*d**2 + 35559*d**2 - 18001*d**2.\nAnswer: 18*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 125, 230, 407, 656?\nAnswer: 977","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 3*g**2 - 1. Let k be d(1). Let w be k + (0 - -5) + -3. Suppose 2*v = -3*h + w, 0 = -h - 0*h - 4*v + 8. Solve -p - p = h for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98660 divided by -24665?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence srk when three letters picked without replacement from {k: 3, y: 1, s: 1, r: 7}.\nAnswer: 7\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(3 + -2*sqrt(605)*5 + sqrt(605)*5*6 + -1)**2.\nAnswer: 880*sqrt(5) + 242004","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 138449 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 16295.46 months in millennia?\nAnswer: 1.357955","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17221 = 3*d - 13*m + 5032, 0 = 2*d - 5*m - 8137. Is 44 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*j + 38787*j**3 - 9 - 38788*j**3 - 149 - 139 to the form z*j**2 + f*j + t + c*j**3 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and -4536.\nAnswer: 1814.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 + (9 - (78 + -68))?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 288646 - -0.023.\nAnswer: 288646.023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/3 (b) -15 (c) -221\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88 = 5*p + 2*b + 21, -5*p - b + 71 = 0. Let d be 363\/36 + (-2 - p\/(-12)). Let h = -55\/6 + d. Put -3, 2\/7, 1\/3, h in descending order.\nAnswer: 1\/3, 2\/7, h, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 121 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 48505785, 48505791, 48505797?\nAnswer: 48505803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.2 (b) 0.06 (c) -2\/57\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4.84 - -3.34. What is the nearest to 2\/7 in 3\/5, d, 0.07?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11 + 23. Let k be 2\/(-3) - (-404)\/v. Suppose 2*g - 30 = 2*l, -3*g = -g + l - k. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c - 4. Let y(r) = -r + 3. Let m(w) = 3*d(w) + 4*y(w). Let n(i) be the first derivative of -i**2 + 1. Give -5*m(o) + 2*n(o).\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 2996?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -77497832 less than -0.0266?\nAnswer: 77497831.9734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3611?\nAnswer: 23, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4 - (2 + -4))\/(4\/(-12)). Solve 2*n - o*n = 4 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -24683 + 24699.893. Let n = 0.107 + z. Let s = -0.8 - 0.2. What is the third smallest value in s, n, 2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*d = 9*d + 130. Calculate the remainder when 75 is divided by d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 206693 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1070?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -591 - -594. Let g = 141\/28 + 45\/14. Let d = -0.37 + 0.37. Which is the closest to d? (a) g (b) k (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.007 and 0.091563.\nAnswer: 0.000640941","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000376502 to 7 decimal places.\nAnswer: 0.0000038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101 (base 2) to base 16.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 + (-3 - -2) + -13 + 17 + -8?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 52619918 and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in seven eighths of a day?\nAnswer: 21","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the second derivative of -m**4\/12 - 5*m**3\/6 + 2*m. Let f be s(-5). Factor -g - g**2 + 0*g**2 + f*g.\nAnswer: -g*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 146 - -51. Suppose g - 5*g - 12 = 0, -n = -t + 4*g. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.064 in -7\/160, -3\/5, -7?\nAnswer: -7\/160","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 936 and 536256?\nAnswer: 6971328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes before 8:23 PM?\nAnswer: 6:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29363191 divided by -121.\nAnswer: -242671","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 16 (b) -5 (c) 5 (d) 168 (e) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 579348.\nAnswer: 2, 3, 7, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 3*f - 19 + 79 = 0, -2*j = f - 44. Calculate the highest common divisor of 132 and j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 77\/1216 and -115\/448?\nAnswer: 8512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**3 + 5*s**2 + 5*s. Let j be m(-2). Factor o**j + 12 + 0*o**2 + 12*o - 8 + 4*o**2.\nAnswer: (o + 2)*(5*o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.045 + 0.098. Let l = n + -3.053. Which is the closest to -1? (a) l (b) -0.4 (c) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/12 + -3*(-6)\/(-108).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 23 = -4*d, -4*f - 7 = 4*d + 13. Let p = 114 - 112. What is the third smallest value in 0.1, d, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1251 + 2407 + 1214 + 2290)*(0*k + k + 0*k).\nAnswer: 7162*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 33250785 to the nearest integer?\nAnswer: 322","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x - 333 = 213. Let d = x - 93. Let g be (d - -3)\/(7 + -2 + -4). Solve -g = -w + 1 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 483205494.\nAnswer: 2, 3, 31, 157, 16547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o + 7*o - 15. Let g be (-54)\/(-18) + (-98)\/12 - 5\/6. Put o, g, 1 in increasing order.\nAnswer: g, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000002649609 rounded to 7 dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 811 - 482. Let r = i - -13. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -45 - -53. What is the greatest common divisor of 8 and q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -156, -202, -226, -216, -160?\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 11160 divided by -30?\nAnswer: -372","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -41 in -1\/4, -0.2, 3, 2\/7, 1\/5, 13?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 11*s = -9. Let t be s*4*5\/10. Suppose -t*v = 2*v - 8, -4*b + 3*v + 534 = 0. List the prime factors of b.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5214?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**3 + 13*r**2 - 9*r - 20. Is p(9) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5882149, -11764290, -17646431?\nAnswer: -23528572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 take away -73?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 335435734?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1332 (b) 10 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (110\/(-88))\/(-2*2\/16)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 85 + 85 - 172 - 8*u + (2 - 3 + 3)*(-u + u - 2*u) to v*u + t and give v.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 6*a**2. Let n(p) = p**2 - 3. Suppose 4*d - 19 = y, 3*y + 5*d - 17 = 2*y. Let m(x) = 4*x**2 - 10. Let q(w) = y*m(w) + 10*n(w). Determine v(q(u)).\nAnswer: 24*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(187)\/(sqrt(66)\/sqrt(6)*-2) - (-1 + sqrt(153)*-3)*1)**2.\nAnswer: 17*sqrt(17) + 4917\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k = 5*l + 5, -42*l = 90*k - 50*l + 11*l + 3 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -2*w + 12. Suppose 481*f = 512*f + 279. Give g(f).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 0 + 0)*(p - 4*p + 0*p) + 35*p + 168 - 168)*(0*p**2 - 5*p**2 + 3*p**2).\nAnswer: -76*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - (-46)\/12)\/(-1).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*l + 12 = 4*l - 12 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**3 - 8*q**2 + 8*q - 5. Let d(h) = -10*h**3 + 69*h**2 + 6*h - 2. Let c be d(7). Give u(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y**5\/15 - 14*y**4\/15 + 2*y**3\/3 + 142*y**2\/15 - 16*y\/3 - 40\/3 = 0.\nAnswer: -5, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a + 3*a - a)*(0 - 2 - 2 + (0 - 2 + 1)*(3 + 1 - 5) + (67 + 8 - 15)*(-3 + 2 + 0)).\nAnswer: -126*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 13462 (base 7) in base 6?\nAnswer: 24554","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.2 + -0.2. Suppose 84*b + 163 + 257 = 0. Put u, b, -4 in descending order.\nAnswer: u, -4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2732258 weeks in minutes?\nAnswer: 2754.116064","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -193 - -2d0d4?\nAnswer: 2cd41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 39*g + 13*g - 31*g to v + l*g and give l.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -208.7 - -218. Let r = 9 - t. Which is smaller: r or 0.1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 7033.0095 minutes?\nAnswer: 4.884034375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*q + 3*q - 4*q)*((-4 - 2 + 3)*(-4 - 1 + 3) + 2 - 1 + 0) as g + m*q and give m.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 182, 248, 342, 452, 566, 672?\nAnswer: 758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 180958, 361839, 542722, 723607, 904494, 1085383?\nAnswer: 1266274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -396710802*r**3*y**2 + 7288*r**2*y**2 + r**2*y - 9*r**2 + 74*r*y**2 - 2*r wrt r?\nAnswer: -2380264812*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 47033 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15250 + -15125. Is k greater than 871\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000034371 to six dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*u - u**3 - u**3 + 2*u**2 + 0*u**3 in the form v*u**2 + f*u + a*u**3 + z and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i**1*i)*i)\/(i\/i**(-3\/8)))\/(i\/i**(-1\/8)*i*i**8) assuming i is positive.\nAnswer: i**(-23\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -444, -839, -1188, -1491, -1748?\nAnswer: -1959","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2*j + 2)*(362 + 312 + 19 - 169)*(-5 + 3*j + 5).\nAnswer: 3144*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 50554, -331 in descending order.\nAnswer: 50554, 1, -331","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) -2\/7 (c) 0.4 (d) 1 (e) 0 (f) 30\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -13506.9 rounded to the nearest 100?\nAnswer: -13500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -346003 divided by -2?\nAnswer: 346003\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1307 + 1301. Let v be (-27 + (-483)\/(-21))\/(4\/i). Factor -v - 3\/2*a**3 - 15\/2*a**2 - 12*a.\nAnswer: -3*(a + 1)*(a + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -890946 times 2\nAnswer: -1781892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 681601 is divided by 10485?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 176 - 195 - (-1 + -3)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.23 take away 1978640093?\nAnswer: -1978640093.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2c + 191?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 10, e: 2, t: 7, y: 1}. What is prob of picking 1 t and 3 m?\nAnswer: 56\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 40.503 + -40.303. Which is the closest to p? (a) -1 (b) -4\/13 (c) 0.5 (d) 14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3 - -3) + (-8)\/4. Put 0.3, -9, j in decreasing order.\nAnswer: 0.3, j, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 186, 420, 940, 1890, 3414, 5656?\nAnswer: 8760","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -4*g + 44, 3*g - 42 = -w - 2*w. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 7 - (5 + (-6 - -2)). Suppose 4*r + 9 = -9*k + 8*k, -3*k - 5*r - t = 0. Solve k*u - 2*p - 6 = -u, -3*p = -u - 1 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3681429 or -3681430?\nAnswer: -3681429","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 5, 4, -911 in decreasing order.\nAnswer: 5, 4, -12, -911","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the third derivative of 0*k - 1\/60*k**5 + 1\/6*k**3 - 9*k**2 + 0 + 1\/24*k**4. What is p(-3)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1039?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2a - 157117?\nAnswer: -1570a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8820?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 > -17846990?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 9*d**3 + 9*d**2 - 28. Let y(c) = 16*c**3 + 15*c**2 - 57. What is 5*p(j) - 3*y(j)?\nAnswer: -3*j**3 + 31","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/51 <= -78?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -4*c, a - 3*c - 3 = 3*a. Which is smaller: 10\/9 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -75 or -76?\nAnswer: -75","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.109 and -33830.\nAnswer: -3687.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**2 - 291878*v - 21298191721.\nAnswer: -(v + 145939)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.0934 from -0.01.\nAnswer: 0.0834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 18893*b**5 + 568*b**2 + 3*b + 1.\nAnswer: 1133580*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 33000000 = -2*s. What is s rounded to the nearest 1000000?\nAnswer: -17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-19*y - 7*y - 9*y)*(3 - 4 - 1) as u*y + p and give u.\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 8764 and -3541.435?\nAnswer: 12305.435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2.4, -60 in increasing order.\nAnswer: -60, -2.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 351398 and 15.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1743?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 15\/2*150\/225. Let d be (-1)\/2*(-1 + 1). Suppose 2*a + 0*a + w*y - 220 = 0, d = 5*a - 3*y - 581. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 20, 56, 138, 290, 536, 900?\n\"Answer: 4*v**3 - v**2 + 11*v + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in -2\/5, 2\/3, -1\/2, 8?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssss when four letters picked without replacement from sssss.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2 and -3458687.\nAnswer: -3458689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 81, 62, 17, -66, -199, -394, -663?\nAnswer: -1018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6657 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2525?\nAnswer: 5, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 33 and 1419.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (12 - u + 4*u - 9)*(-2*u**2 + 4*u**2 + 3*u**2) as a + v*u**2 + y*u**3 + x*u and give v.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2 - -2)*2\/(-4). Suppose 0 = -w*t - 5*t. Solve t = -c - 1 - 1 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1975 and 471235.\nAnswer: 395","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:22 AM and 5:07 PM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c - 1. What is d(9)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:16 PM and 6:46 AM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-72)\/34 + 4 + -2. Let g = 82\/69 + -12\/23. Sort g, -0.3, s in descending order.\nAnswer: g, s, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3751 and 10292.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = 3*o - c + 3, 5*o + 2*c = -2. Solve o = 3*s - 5*s + 3*h - 5, 0 = 4*s + h - 25 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -59064.9 rounded to the nearest ten thousand?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1153, -1126, -1083, -1030, -973?\nAnswer: -918","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 31 - 97. Let d be 2*(0\/1 + 2). Let y be (d\/(-6))\/(4\/c). Calculate the highest common divisor of 44 and y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2893 and 66?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5583120?\nAnswer: 2, 3, 5, 43, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 214027 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 70.9544 plus -5.72082827?\nAnswer: 65.23357173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 802*q - 720. Determine r(1).\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -13*j + 220. Give l(21).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -355*g**3*q**3 - g**3*q - 15*g**2*q**3 + 52*g**2 + 43*g*q wrt q.\nAnswer: -2130*g**3*q - 90*g**2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 n when two letters picked without replacement from ffffffffffnffffnfff?\nAnswer: 34\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3584\/(-784)*(315\/(-10))\/9.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 187924153?\nAnswer: 2617, 71809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.4694 >= 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 25 or -57\/115?\nAnswer: -57\/115","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 5*x = -6 + 17, -5*x - 25 = 0. Suppose 3 = -3*c + u. Suppose 57 = r + c*r. List the prime factors of r.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(19)*-2)*6)**2.\nAnswer: -144*sqrt(19) + 2772","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -53 + 45. Let h = z - -13. Solve 0 = -u - h*b - 15, -3*b = 2*b + 15 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 38 (b) 0.3 (c) 0.4 (d) -5\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h - 1. Let m(n) = -n. Let g = -4 + 3. Let d(q) = g*s(q) - 3*m(q). What are the prime factors of d(5)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -p + 13, 2*p - u = 4*p - 20. What is the highest common divisor of 44 and p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 20 = -2*m. Suppose 0 = m*k + 1 - 377. What is the tens digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d when three letters picked without replacement from {d: 4, n: 6, o: 1}.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, t: 7, i: 4}. What is prob of sequence ti?\nAnswer: 7\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -910 (base 16) to base 5.\nAnswer: -33240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -5*q - 10, 0*z - 5*q = -z. Suppose 7 - z = -n. Let d be (27\/n)\/(-9)*2. Solve 0*u - d = u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.662 - 0.338. What is the closest to 14 in -1\/8, 3\/5, x, 0.2?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 744 is divided by 296?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*(j*j**(2\/9))\/j*j**(-2)*j)**(-1\/12)*((j*j*j*j**(-3))\/(j**1\/j))\/(j**(-1\/6)*(j*j**(-1)*j)\/j) assuming j is positive.\nAnswer: j**(4\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 375 = -2*z + 417. Calculate the smallest common multiple of 63 and z.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 - (0 - -2)) + 2019. Let b be (12\/20)\/(5 - 22944\/4590). Let t = r - b. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 + (-1 - (-2 + 0)). Let k = 2 - -2. Solve -u*t + 2 = -k for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 + 9ce?\nAnswer: 9ce","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from {m: 1, i: 2, p: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5.4 + -5. Sort -4\/3, 2\/17, p in descending order.\nAnswer: p, 2\/17, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -106111811, -212223618, -318335425?\n\"Answer: -106111807*p - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 158259 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 5*a + 81. Let i be x(-18). Is 2 + (i*(-1192)\/12 - -5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4, 4.\nAnswer: -4, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-525)\/(-70))\/((-10)\/(-8)). Does 40 divide -1227*m\/(-36)*2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 724984668 a multiple of 159?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0, -1, -30, 33 in descending order.\nAnswer: 33, 0, -1, -3, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*(h**(-3\/5)*h)\/h)\/(h\/(h*h*h\/(h\/(h\/(h*h\/(h\/(h\/(h**(-4\/7)*h))*h))*h*h))*h*h*h))*h**9\/(h*h**(-8)\/h) assuming h is positive.\nAnswer: h**(834\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 59681*249\nAnswer: 14860569","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -584.\nAnswer: 5\/584","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 37782, 151092, 339934, 604308, 944214?\nAnswer: 1359652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -37.414172 plus -525?\nAnswer: -562.414172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the first derivative of s**4\/4 - 2*s**3\/3 - s + 1. Suppose 2*n + 21 = 1446*w - 1449*w, w = 4*n - 21. Determine f(n).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes before 1:37 PM?\nAnswer: 9:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*b**4 - b**4 + b**4 + (-2*b + 2*b + 3*b**3)*(-3*b + 0*b + 4*b) to the form q*b**4 + j*b**2 + a*b + x + w*b**3 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-2 + (-82)\/(-36))*(-4292)\/6438\nAnswer: -5\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(5\/4)\/(f*f\/(f**0*f))*f**(-2)*f\/(f*f\/f**6*f)*(f**(-1)\/f)**(17\/5)*f**2*f*f**(1\/5)*f*f assuming f is positive.\nAnswer: f**(13\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**3 - 8*w**2 - 7*w - 13. Let q be -3*(-1 - 52\/(-12)). Is r(q) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -502425 > -502425?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 143675.\nAnswer: 5, 7, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-120)\/(-72)*(160\/60 - (3 - 388\/1380))\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 8*i**3 + 4*i**2 - 9*i - 17. Let r(n) be the first derivative of -1\/3*n**3 - 1\/2*n**4 + 4*n - 12 + n**2. Determine -2*f(d) - 9*r(d).\nAnswer: 2*d**3 + d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 2*o + 8 - 8. Let a(l) be the second derivative of -l**4\/4 + 6*l. Give j(a(q)).\nAnswer: -6*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -169.626 rounded to the nearest 100?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1403*b**5 - 32*b**4 + 26179*b - 4?\nAnswer: 28060*b**3 - 384*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 19 - (0 + (-2 - -5)). Find the second derivative of -1347*t**3 - k*t + 1342*t**3 + 71*t + 3*t**2 wrt t.\nAnswer: -30*t + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7002118 litres to millilitres.\nAnswer: 700.2118","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-5 - (-31)\/7)\/2. Let u = -0.31 - -0.1. Let j = u + -0.29. What is the nearest to -1\/4 in -2, f, j?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*1\/(-1)*13\/130\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.11 + -9.89. Let a = 9.5 + l. Sort a, -4, 2\/5.\nAnswer: -4, a, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5964 and 120.\nAnswer: 59640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -13200913869 - -0.01?\nAnswer: -13200913868.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q - 360 = -339. Let r(z) be the first derivative of -5\/4*z**4 + 0*z**2 + 0*z + 2*z**q + 3. Find the third derivative of r(u) wrt u.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, e: 2}. What is prob of sequence qe?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 24 - 34. Let c(k) = -k**2 + 4*k**2 + 5*k + 4*k**2. Let w(l) = 4*l**2 + 3*l. What is h*w(m) + 6*c(m)?\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -159 + 20 + 4 - 27 - 5*w + 10*w.\nAnswer: 5*w - 162","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 98*c**3\/17 + 7348*c**2\/17 - 46734*c\/17 + 71424\/17 = 0.\nAnswer: -3968\/49, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 60 and 3570.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6*(1 + -1 + -3). Let a be (-4)\/12*q\/21. Factor 0*t**3 + 0*t**2 + 0 + a*t**4 + 0*t.\nAnswer: 2*t**4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -102 + 108. Let l(c) = -c**2 + 9*c + 2. Let k be l(w). Solve k = -3*y + 5 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 142712 and 200.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8464*l**4 - l**3 - 9*l**2 + 946*l + 20.\nAnswer: 101568*l**2 - 6*l - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 423733 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8142*j + 16271*j - 48 = 8145*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r + k = -k - 54, -6*r - 2*k - 215 = -113 for r.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.1 - -0.2. Which is the closest to l? (a) 2 (b) 4 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-12)\/14*2212\/(-316). Put a, -1, 3, -11 in decreasing order.\nAnswer: a, 3, -1, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.7001613 + 4?\nAnswer: 0.2998387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.3, -3853, -4, -2\/19?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the third derivative of 0 - 2*b**2 + 1\/12*b**4 + 1\/3*b**3 + 0*b. Let k(v) = v + 1. Determine -2*d(a) + 3*k(a).\nAnswer: -a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) -2\/17 (c) 24 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2096 is divided by 610?\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -16, 0.5, -10\/7, 1321, -4, 2\/5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -15*(-2)\/(-10)*-3. Suppose -2*h - 3*t = 2, -7*h - t = -2*h + 18. Let p = x + h. List the prime factors of p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6163800 to the nearest one hundred thousand.\nAnswer: -6200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13 + 11. Let f(c) be the second derivative of -2*c + 1\/12*c**4 + 0 + c**2 + 2\/3*c**3. Determine f(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 648965 at most as big as 648964?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -165 - -160. Let h(n) = 4*n. Let p = -1 + 2. Let o be h(p). Sort o, 5, r in descending order.\nAnswer: 5, o, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**3 - 2*c**2 - 7*c + 1. Let l(t) = -t**2 + 9*t + 14. Let o be l(11). Let z be (2 - (-2 + 1)) + o. Is n(z) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v - 2*a = -v - 40, 4*a = -2*v. Suppose -q - 8 = -2*t + 41, -5*q = 4*t + 315. Let s = -54 - q. What is the lowest common multiple of v and s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in sixty-eight thirds of a hour?\nAnswer: 1360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = p + 3*p - 1624, 5*p = b + 2009. Suppose 0 = 4*n - 283 - p. What are the prime factors of n?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 31435?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -11706\/65 greater than or equal to -180?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 3*x**2 - 8*x + 7. What are the prime factors of c(18)?\nAnswer: 5, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.8 + -0.6. Let c = 0.6 + -1. Let g = l + c. Put 2, g, 0.1 in decreasing order.\nAnswer: 2, 0.1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 2387?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -44, -55, -90, -161, -280, -459, -710?\nAnswer: -1045","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**2 + 2*m + 3. Let o be l(3). Suppose -2*h = h - o. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:58 AM and 9:41 AM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**2 + 15. Let b be t(0). Let k = b + -10. Suppose -31 = -k*q - x - 13, q = -2*x + 9. Solve q*s - 2 = s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 10 = -10. Solve -15 = -3*p - 5*a, w*p - a = -4*a + 9 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.09 and -1239.\nAnswer: 111.51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3 or -74\/19?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -132*g - 3951 - 3935 = -2078 for g.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.228789 to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 111\/21 + -5 + 30\/(-7). Let y be (-25 + 9)\/(1*(d + 2)). What is the greatest common factor of y and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-29892 + 29892 - 71*p)*(7*p**3 - 3*p**3 + 0*p**3 + (31 - 31 + 5*p)*(2*p**2 + 0*p + 0*p)).\nAnswer: -994*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 12*g + 147. Is 5 a factor of b(9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 3 = -2*j, 14 = -3*k + 17 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pu when two letters picked without replacement from uqqvopovppvuuuvuvq?\nAnswer: 5\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 20 + -16. Suppose c + 8 = 6*i. Solve 0 = -x + 3*o + 17, -5*o = 6*x - i*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20 + -19 + (0 - 21)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 21\/4 + (-6)\/(-8). Suppose 0 = -4*c + p*c - 6, 27 = 3*t - 4*c. Calculate the remainder when 50 is divided by t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/6 + 1\/(-3) - 13010\/(-18214)\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3 - (-5 - 0\/3). Is 8 <= y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -35 + 33. Is (3\/(-9) - (-508)\/(-24))*g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 187 + -183. Let b be (-1342)\/427 + (1 - -2) + 0. Put -24, b, q in descending order.\nAnswer: q, b, -24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6500\/55 + 6\/(-33) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.05, -26, -2\/5, -3\/4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the third derivative of y**5\/60 + y**4\/8 - y**3\/6 + 4*y**2. Is a(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.075 times -11?\nAnswer: -0.825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10224)\/(-117) - (-50 - 24396\/(-494)).\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9455 - 3325. Is 2\/4 - 0 - w\/(-20) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 74\/3 of a minute in seconds?\nAnswer: 1480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -152*b + 286*b + 16*b**3 - 134*b.\nAnswer: 16*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*l**3 + 0*l**3 + 5*l**3)*(-2*l - 3 + 3)*(-20 + 20 + 20).\nAnswer: 40*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*v + 4*v + 5*v - 6*v to p*v + f and give p.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/18 and -83\/2460.\nAnswer: 7380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(-4)\/120*12.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**3 + 8*n**2 + 8*n + 4. Let j be o(-7). Let k(q) = 4*q**3 - 6*q**2 - 3*q - 5. Let t(z) = -z**3 + z**2 + z + 1. Determine j*t(f) - k(f).\nAnswer: -f**3 + 3*f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -16*p - 37. Calculate a(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:51 PM and 5:36 AM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1291 is divided by (-1090)\/(-32) + 22\/(-352)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**3 - 5*f**2 + 12*f - 1. Let i be c(4). Suppose o = m + i + 353, -o - m + 380 = 0. Does 35 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let 10*n**4 + 3014*n**3 + 24764*n**2 + 44584*n + 14064 = 0. What is n?\nAnswer: -293, -6, -2, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*u**2 + 931*u - 2*u**2 - 28 - 934*u in the form a*u + x + c*u**2 and give x.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tmtttptmmpmmm. Give prob of picking 2 t and 2 p.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Do -226373 and -226371 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1234413 years in centuries?\nAnswer: 0.001234413","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yssqmmswwmr. Give prob of sequence rsy.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4751 is divided by 280.\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*o + 2*o - 11*o**3 + 3*o**2 + 9*o**3 + 4*o**3 to the form d + y*o + n*o**3 + f*o**2 and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 32246885 - 11?\nAnswer: 32246874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9157 + -9037 - (0 - 2)*((-34)\/(-4) - 3).\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uusuuuuusuuuu. Give prob of picking 1 u and 1 s.\nAnswer: 11\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5133, -9131, -13133, -17133, -21125, -25103, -29061, -32993?\nAnswer: -36893","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = 3*t - 40, 0*o - 5*t + 13 = -o. Suppose -5*g + o*g = 76. Let l = 27 - g. Is -10 != l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3*2*(-1)\/2. Let f(q) = -q + 0*q**3 - q**2 + 0*q**2 + q**k. What is the units digit of f(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, 0, -3323, -5\/4, -9, 1\/2, 6?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 5*v**2 + v + 1. Suppose -2*s = s. Let d be 0 - -3*(1 + s). Suppose -9 = -3*f + 4*x, 3*f + 10 = 2*f - d*x. Calculate c(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1755, -1759, -1765, -1773?\nAnswer: -1783","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the third derivative of o**5\/3 + o**4\/8 + o**3\/2 + o**2. Is q(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 + 4. Suppose 0 = 6*m - 4*m - t*h - 10, 0 = -3*h - 3. Suppose 3*f = 2*y - 8, 2 = m*f - 4*y + 18. Which is smaller: f or 1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (12 + -14 + 4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 - 2. What is the third derivative of -20*h**5 - 27*h**5 + 18*h**2 + 5*h**2 - q*h**2 wrt h?\nAnswer: -2820*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 + 13. List the prime factors of j + 3\/((-6)\/2).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(224\/(-12))*(-42658)\/(-4986)?\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -13443451 (base 6) in base 4?\nAnswer: -1233210313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.0542 and -313202.\nAnswer: -313201.9458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:19 AM and 2:18 PM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -53063*f**2*g*o**2*y + 2*f**2*g*o - 211*f**2*y - 2*f*g*o*y + 7*f*g*y + 4*g*o**2*y - 2*g*o + 2*g*y - 3*o wrt o.\nAnswer: -106126*f**2*g*y + 8*g*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 731 and 21233.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -15*w**2. Let i(r) = -3*r**2. What is i(b(p))?\nAnswer: -675*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add 460 and 0.2.\nAnswer: 460.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 351\/52 + (-6)\/8. Solve -2*n + o*n - 12 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, j: 5, a: 6, v: 1, e: 4, p: 3}. What is prob of picking 1 e and 1 g?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the first derivative of -r**6 + 5*r**2\/2 + 8. What is the second derivative of k(i) wrt i?\nAnswer: -120*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27158 (base 9) in base 15?\nAnswer: -568e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c - 2*d + 25 - 29, -4*d + 16 = 0. Calculate the remainder when 297 is divided by c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1a7 (base 13) to base 8\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c when three letters picked without replacement from ctttcttc.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange n - 46 + 10*n**3 - 2*n**2 - 2*n**2 + 39 + 9*n**3 + 5*n**2 to o*n + s*n**2 + f*n**3 + k and give f.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i + 40 = -4*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 5 = 1. Suppose -2*a = r*b, 6*b - 2*b = -3*a + 1. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1199 at most 1192?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -131, -542, -1227, -2186, -3419, -4926?\nAnswer: -6707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.0543 - -0.7043. Let m = -1.9 - -2. Is k greater than or equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 400212 and 24?\nAnswer: 800424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-251*c + 121*c - 151*c)*(14 - 2 + 6) - 1 + 1 - c.\nAnswer: -5059*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2e45 - -29?\nAnswer: -2e1c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 242 and 1581470?\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**(-4\/3)\/x)\/x*x*x\/(x\/(x*x**(2\/31))))\/(x**6\/(x**(1\/3)\/x)))\/(x**(-3\/8)*x*x*x*x\/((x*x**(-2\/5))\/x))**11 assuming x is positive.\nAnswer: x**(-64741\/1240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -4a (base 14) in base 2?\nAnswer: -1000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*o**5 + 5*o**4 - 878*o wrt o.\nAnswer: 140*o**3 + 60*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in thirty-one fifths of a meter?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/316 and 194\/42*(-33)\/44*2?\nAnswer: 2212","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**3 + 96*t**2 + 327*t - 12777. Give z(98).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3263 and -0.09.\nAnswer: -293.67","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 15135 - 15315?\nAnswer: -140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - ((-27)\/4 - 2 - (71 - 67))?\nAnswer: 23\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eebw when four letters picked without replacement from {e: 7, b: 4, w: 2}?\nAnswer: 14\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**3 + 13*w**2 + 13*w + 6. Let a be s(-12). Let r(z) = 16*z**2 + 5*z - 11. Is r(a) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -93\/88 and -4 + 9 + (-10)\/(56100\/29461)?\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (-3 + sqrt(325) + 0 - 3*(sqrt(325)*-1 + sqrt(325))) + 1 + (sqrt(325) + -3*sqrt(325)*-1 - sqrt(325)) + -5 + 1)**2.\nAnswer: -360*sqrt(13) + 5281","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9 + 13. Suppose 37 + 63 = -5*w. Let l = w - -28. Calculate the remainder when l is divided by g.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 69, 243, 533, 939, 1461, 2099?\n\"Answer: 58*z**2 + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (36\/(-8))\/((-10)\/(-4)) - -2.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2)\/(-6))\/(6 + 17). Let o be 0\/(-14) - 67\/138. Let w = j - o. Which is the third smallest value? (a) 0.4 (b) w (c) 5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -0.1, -2, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the first derivative of -2\/21*x**3 - 1\/7*x**2 + 266 + 40\/7*x. Factor t(p).\nAnswer: -2*(p - 4)*(p + 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/4 (b) 0.5 (c) 2.38\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**3 + 5*j**2 - 8*j - 24. Let n be g(6). Let y = 125 + n. Let a = 25 - 13. What is the remainder when y is divided by a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -3*r**3 - 7*r**2 - r - 3. Let p(n) = -2*n**3 - 6*n**2 - 3. Let u(h) = 3*j(h) - 4*p(h). Determine u(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.865819t in micrograms?\nAnswer: 6865819000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 95851257?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3\/25 - -81\/50. Let c(j) be the first derivative of -i*j**2 + 2 - 1\/3*j**3 + 2*j. Calculate c(-5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*u + 4*u - 4*u + (0*u + 0*u - 2*u)*(1 + 5 - 4) + 6*u - u - 3*u - 2*u + 0*u - 3*u + (4 - 2 - 3)*(u + 4*u - 3*u) + u + 2*u - u as d + x*u and give x.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-54)\/63)\/((-64)\/(-56))*8\/(-39).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-12)*q\/(q\/q**(2\/5))*q)\/(q**(16\/7))**34)**(4\/9) assuming q is positive.\nAnswer: q**(-12364\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4765.258 + 31.058. What is l rounded to the nearest one hundred?\nAnswer: -4700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + -48 - (-7 - (-8 - (-18 + 1)))?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1654 - 1638.06. Let s = t + -16. What is the second biggest value in -1, s, 3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2\/5 (b) 3 (c) -98607\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59923 is divided by 83.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 3, t: 5}. What is prob of sequence ttt?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 2)*(308 - 308 - 29*o) + o - 21*o + 0*o.\nAnswer: -78*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a litre in millilitres?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -100*j. Let q(u) = 4*u**2. What is r(q(k))?\nAnswer: -400*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4826, -4, 2\/5, -2\/11, -3, 2\/3?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-2\/11)*w**1)**(11\/5)\/((w\/w**2)\/(w*w*w**0))**(-2\/13) assuming w is positive.\nAnswer: w**(87\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 520661 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.9 - -2. Let n = -1.4 - -0.4. Put 2\/9, n, d in ascending order.\nAnswer: n, d, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 142, 242, 404, 622, 890, 1202, 1552, 1934?\nAnswer: 2342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -147, -149, -147, -135, -107, -57, 21?\nAnswer: 133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 25017468.2 to the nearest ten thousand.\nAnswer: 25020000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -27*v**3\/5 + 1848*v**2 + 16524*v\/5 - 4128\/5 = 0. Calculate v.\nAnswer: -2, 2\/9, 344","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11, 14, 15, 14, 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -227.92 + 227.82. Which is the second smallest value? (a) 167 (b) 2 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 3*z - 200 = -4712, 0 = -5*m - z + 7520. Does 10 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + 7*o = -3*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n*(n*n\/(n**2\/n))\/n))**20*n**2\/(n*n\/n**0)*(n**(1\/4)\/n)**(2\/13)\/(n\/((n*n*n**(-1\/2)*n)\/n)*n)**(-6\/7) assuming n is positive.\nAnswer: n**(57\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 272 - 1364\/5. Which is the nearest to -4\/3? (a) -5 (b) h (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kc when two letters picked without replacement from {f: 3, k: 2, l: 3, n: 1, c: 1, q: 2}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5\/2 + 2. Let n be (-11)\/4 + 2 - -1. Let q = -2 - -1.9. Which is the smallest value? (a) d (b) n (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 53322\/154 + 2\/11. Let z = f + -347. Which is greater: -1 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 54 + -53.7. Let i = 5.116 - -0.184. Let w = -8.3 + i. Is w at least y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**2 - 13*f + 13. Let b = -5 - -18. Let c be r(b). Let o be 2 + (-24)\/c + 185\/65. Solve -3*i = -d - d - 16, 5*i + o*d = 14 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 0 - 2*o**2 + 4 - 1.\nAnswer: -2*o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fccxdxdccfycxxxxxx. Give prob of sequence cyf.\nAnswer: 5\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.6 and -23.\nAnswer: -23.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2151, -2134, -2123, -2118, -2119, -2126?\nAnswer: -2139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 94398.\nAnswer: 2, 3, 15733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/4 - 1905\/(-30). Let o(w) = 127 - 61 - 2*w - d. Let g(r) = -r. What is -g(m) + o(m)?\nAnswer: -m + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the third derivative of -2131*g**9\/252 - 2447*g**5\/30 - 3984*g**2. Find the third derivative of h(w) wrt w.\nAnswer: -511440*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 8 = 23. Suppose 2*q = t*q - 2. Suppose -2*r - 4*u + 10 = -q*u, 2*u + 17 = r. What are the prime factors of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34351 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20)\/(-8)*(-12)\/30.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -175 - -266. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -453, -4.\nAnswer: -453, -5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 18479 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/30*2 - (5 + (-1079)\/195). Is -74.1 bigger than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 434 and 56?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 307, 300, 279, 238, 171, 72, -65, -246?\nAnswer: -477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -45*p**4 + 77*p**3 - 35*p**2 + 5*p + 2. Let t(x) = -315*x**4 + 540*x**3 - 245*x**2 + 35*x + 15. Let n(l) = 2*t(l) - 15*w(l). Factor n(r).\nAnswer: 5*r*(r - 1)*(3*r - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1502 - 1498. Let c(g) be the second derivative of -22*g - x*g**4 - 50*g**2 + 0 - 8\/25*g**5 - 20*g**3. Find b such that c(b) = 0.\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3138?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 877 a factor of 19279968?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1849 + 1885 - (59 + -2)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**3 + p**2 - p + 2. Let b be t(0). Find the second derivative of 2*d**3 + d + d**b + d - d**2 wrt d.\nAnswer: 12*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 9814, 16817, 23820, 30823?\n\"Answer: 7003*d + 2811","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**2 - 5*n - 3. Let d be l(-2). Let w be -8 - -5 - 510\/(-105) - 1. Factor -w*j + 2\/7*j**2 - 4\/7 + 2\/7*j**4 + 6\/7*j**d.\nAnswer: 2*(j - 1)*(j + 1)**2*(j + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 487481*y**3 + 8*y**2 - 75*y - 70 wrt y?\nAnswer: 2924886","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34985202?\nAnswer: 2, 3, 7, 37, 47, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -57.3 + 64. Let b = 0.3 + t. Let s = b - 12. Sort s, -2, -1\/4 in decreasing order.\nAnswer: -1\/4, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 192 and 13248?\nAnswer: 13248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16714?\nAnswer: 2, 61, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16*b - 439*b**4 - 11*b - 1 - b**3 + 2*b**2 + 21*b + 184*b**4 to i*b**3 + r*b + v*b**2 + j + w*b**4 and give w.\nAnswer: -255","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-165*k - 125*k - 197*k + 63*k)*((-9*k**2 + 0*k**2 - 4*k**2)*(-3 + 1 + 3) - 3*k + k**2 + 3*k) to c*k**3 + l + v*k + u*k**2 and give c.\nAnswer: 5088","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1551230 (base 7) to base 9\nAnswer: 355675","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10842\/4 - 63\/18 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fk when two letters picked without replacement from {j: 2, h: 6, y: 1, f: 10, k: 1}?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 109 + -115. Is 2*((-783)\/c - -4)*1 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 40 - 59. Let n = -20 - o. Let i = 17 + -24. Which is the closest to n? (a) -0.5 (b) 2 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -16\/301215 and -17\/6450?\nAnswer: 3012150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -11*v + 3. Let b(u) = -4*u + 1. Let n(q) = -3*b(q) + o(q). Let j(d) = -379*d**2. What is j(n(t))?\nAnswer: -379*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -30 + 36. What is the lowest common multiple of 22 and c?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:42 PM and 4:13 AM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 64291316*a**3*k + 1247*a**2*k - 7332*a**2 wrt a?\nAnswer: 385747896*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, -83\/12, -9, -1 in decreasing order.\nAnswer: -1, -83\/12, -9, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the first derivative of 271*z**2\/2 + 171*z - 14. What is the tens digit of j(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -19, 1, 18 in descending order.\nAnswer: 18, 1, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 501331 and 213.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3 + 5 + -4 - (-294 - -2)?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.6 in 0.09, -3, -4, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -2145*b + 15002. Calculate p(7).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = 5*s - 74, 5*s = m + 43 + 51. Suppose -5*q + 7 = -s. Let a = 10 - q. Let n(g) = g. Calculate n(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 2*g + 58 = -4*c, -3*c - 12 = 0. Suppose -2*z + 54 = -g. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -249b1b1 (base 12) to base 9.\nAnswer: -14442707","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (140 - (31 - -120)) + -1 + 28.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 706735*x - 592054 wrt x?\nAnswer: 706735","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -335 - -337. Suppose 99 = -a*h + 335. What are the prime factors of h?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**0\/k)**(-12)\/(k\/(k\/(k\/(k*k**(1\/3)))*k)*k*k*((k\/(k\/k**2))\/k)\/k))\/(k**(-2\/3)\/k*k\/(k\/(k*k\/k**(1\/6)*k)))**46 assuming k is positive.\nAnswer: k**(-127\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 6, c: 12}. What is prob of sequence cccc?\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4041668459 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 18 + -64\/3. Which is bigger: v or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 21\/137 - -5199\/6302. What is the common denominator of 31\/5 and s?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 193 + -121. Let u(h) = -1 + 7*h**2 + 2*h - 6*h + 2*h. Let l be u(-1). What is the highest common divisor of n and l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*b*r**4 - 4*b*r**2 + 13*b*r - b + r**2 wrt r?\nAnswer: 60*b*r**2 - 8*b + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 413 is divided by 95.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v**2 + 3*v - 3*v)*(4*v - 4*v - 2*v) + (3*v**2 - 2*v**2 + v**2)*(5*v - v - 5*v).\nAnswer: 4*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**2)\/(d**(-1\/5)\/d*d))**11 assuming d is positive.\nAnswer: d**(176\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b - 2. Let j(p) = p - 3. Suppose -2*w = 4*u - 6, 2*u = -w + 3*u + 6. Give w*l(n) - 4*j(n).\nAnswer: n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxxxxxxxxxxxxxppxxx. What is prob of picking 3 x?\nAnswer: 40\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes after 12:15 PM?\nAnswer: 10:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**(1\/2))\/c*((c**(-11)*c)\/c*c)\/c*((c*c**(-2\/41))\/c)\/(c*c\/(c**(-11)\/c)*c) assuming c is positive.\nAnswer: c**(-2177\/82)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**3 - n + 1. Let j(t) = -6*t**3 + t**2 - 9*t - 11. Let h(d) = -d**2 - 13*d. Let c(p) = -h(p) + j(p). Determine c(r) + 4*o(r).\nAnswer: -2*r**3 + 2*r**2 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 667.679m in micrometers?\nAnswer: 667679000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - 0 - 1) + 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -716*r + 12291 = 979*r - 18219 for r.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 246 = 4*d, 3*d + 2*q - 35 = 149. Let j = d + -66. Which is the closest to -1? (a) j (b) -0.5 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 827 is divided by 391?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + -3 + 6 + 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -11\/6, -1, -0.04 in increasing order.\nAnswer: -11\/6, -1, -0.04","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + i**2 - 2)*(-1 - 3*i**2 + 0*i**2 + 16*i**3 + 4*i**2).\nAnswer: 16*i**5 + i**4 - i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 - 2. Let g(u) = u**2 + 6*u - 2. Let z be g(-6). Let r be 22\/20 - (-3)\/z. Which is the third smallest value? (a) 2\/11 (b) r (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.1 + 2.8. Let c = -1.2 + h. What is the third smallest value in c, 2, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*x**2 + x**2 - 4*x - 3*x**2 + 17*x.\nAnswer: -2*x**2 + 13*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2 (b) -2\/3 (c) 1\/61 (d) -2\/7 (e) 1.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 divided by -1144749?\nAnswer: 8\/1144749","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -36b3 (base 13) in base 6?\nAnswer: -55515","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*z**2 + 1200*z - 1200*z.\nAnswer: -8*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w - 3 + 3)*(-4*w + 3*w + 0*w) - 31681337 - 13813*w**2 + 31681337.\nAnswer: -13815*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3040.297 micrograms in tonnes?\nAnswer: 0.000000003040297","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1964*b**2 - 1964*b**2 + 6*b**3.\nAnswer: 6*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 12662865100 rounded to the nearest one million?\nAnswer: 12663000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-453)\/(-9) + (-6)\/18. Suppose -w - k = -6263. Suppose 5*l - w = -523. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 (base 14) to base 11\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 6, z: 7, q: 6}. What is prob of picking 1 q and 2 x?\nAnswer: 30\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 15 = 45. Sort 1, -2, 5, j in decreasing order.\nAnswer: j, 5, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.46 - 0.46. Let a = -3.08 + 0.08. Let o = -5.7 - -0.7. What is the second biggest value in a, n, o?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 291041*1\nAnswer: 291041","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -n - w - 1, -6*w + 17 = n - 11*w for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j - 2 - 6. Suppose -5*l - 3 = -j*x + 2, 0 = l + 1. Suppose x = -4*c + 12 - 4. Calculate the smallest common multiple of c and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**2 + z + z + z.\nAnswer: 3*z*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.04 (b) -0.1 (c) -35534 (d) -62\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3089?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 430\/(-165)*-3 + -8. Let u = -22.8 + 22.6. Put -0.5, u, l, 1\/4 in decreasing order.\nAnswer: 1\/4, l, u, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22 (base 8) to base 4\nAnswer: -102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1639092 divided by -43134.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 2*t**2 + 36*t + 47. Let y be u(-17). Solve y*w + 6 = 10*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(18)\/sqrt(6))**2*5.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 2*z + 52 + 29 = 0, -z + 423 = 5*k. Suppose -k = -h - 4*h. What is the greatest common factor of h and 187?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/((259\/42)\/(-37)*(-2)\/4).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.12 and 0.2?\nAnswer: 0.024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 71 = -3*n - 549, 4*w - 2*n = 382. Is w a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in -0.05, -2, 5, -0.2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*o**4 - 5*o**4 + 8*o**4 + (o - o**3 - o)*(202 - 82*o - 202) to d*o**3 + w*o**2 + p + f*o**4 + n*o and give f.\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -53, -96, -139, -182?\n\"Answer: -43*q - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2034515 (base 7) in base 15?\nAnswer: 4c505","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen tenths of a millennium in decades?\nAnswer: 190","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1590284, -3180647, -4771008, -6361367, -7951724, -9542079, -11132432?\n\"Answer: j**2 - 1590366*j + 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8547 - -256471\/30. Calculate the common denominator of 69\/10 and m.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w**2 - 53624*w - 179720836 = 0. Calculate w.\nAnswer: -6703","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-16)\/t**(-19))\/((t*(t**20\/t)\/t*t*t)\/(t*t**(-2\/49))))**44 assuming t is positive.\nAnswer: t**(-36740\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -166 + 166.2. Let t = 8\/9 + -19\/18. What is the biggest value in 1, w, t?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -7. Let f(c) = 4. Let n(d) = 5*f(d) + 3*m(d). Let i(g) = g. Give -i(o) - 2*n(o).\nAnswer: -o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 13056613 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/4 in -1\/9, 15, -551?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 - 26 + 575249*p - 227771*p + 35.\nAnswer: 347478*p - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.11 and 799?\nAnswer: -87.89","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/40)\/(130\/(-702)*27).\nAnswer: -1\/40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 392\/(-63)*(-18)\/105. Let u = 191\/60 + v. Calculate the common denominator of -5\/52 and u.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**2 + 6*i + 2. Let y be q(6). Let u be y*1 - (-7 - -5). Suppose 2*s - 120 = 4*f - 14, -s - u*f = -47. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -215 - 2?\nAnswer: -221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*d + 55*d + 36 = 32*d. Let m(a) = -a**3 + 4. Let v be m(0). Solve -9 = -2*l + 3*p, d*l - p - 15 = v*p for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 273500 rounded to the nearest 10000?\nAnswer: 270000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 82 + 90?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28\/5*b**2 + 4\/5*b + 0 + 13\/5*b**3 = 0. Calculate b.\nAnswer: 0, 2\/13, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (-5)\/4 - 13\/52\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 92568576 is divided by 26.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.04743077*0.2\nAnswer: -0.009486154","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 107169614.\nAnswer: 2, 19, 373, 7561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3, 238, -3.\nAnswer: -3, -1, 3, 238","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 3 + 0)*(3 - 3 + 2*f) + 5 - 8 - 6*f + 1 as j + h*f and give h.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**2 - k - 4. Determine g(5).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 383, 757, 1131, 1505?\n\"Answer: 374*z + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) -3010 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 5*p + 1615 = 0, 3*p - 1613 = 3*d - 8*d. Let r be ((-21)\/d)\/((-1)\/(-12)*9). What is the closest to -1.7 in 0.3, 2\/3, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 266613267 to the power of 1\/3, to the nearest integer?\nAnswer: 644","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -144 - -146. Let p = 0 - s. Put 1, p, -1.3 in ascending order.\nAnswer: p, -1.3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-150)*-10*(-2)\/((-36)\/15)\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 29 = 4*w + 4*g, 0 = -2*g - 2. Suppose -a - 4*a - 38 = -3*j, w = j - 4*a. Is 8 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10001111101010 (base 2) in base 9?\nAnswer: -13545","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 2*k + 171. Calculate d(-94).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 25 - 42. Which is the nearest to 2? (a) 1 (b) r (c) -0.1 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 0 - 2*k - 1 + (-4 + 0 + 0)*(-89 + 89 - 846*k) in the form a*k + z and give a.\nAnswer: 3382","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.06, 0, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4 + 1)*(472\/(-12) - 2). Suppose 2*o = 5*q - g, 94 = 4*q + o - 0*o. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p**5\/5 + 104*p**4\/5 - 2102*p**3\/5 + 20544*p**2\/5 - 19296*p + 34560 = 0.\nAnswer: 5, 8, 12, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -140 - -140. Let f(l) be the second derivative of 2\/3*l**3 + 0 + n*l**2 + 2*l. What is f(-2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 16.163294 to the nearest integer.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4733 or -4735?\nAnswer: -4735","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -26 - -30. Suppose -3*l = 4*z - 206, -3 = -2*l - f*z + 133. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 3 + 0)*(-v - 2*v + 0*v) - 4*v - 27*v - 74*v + 0*v + 2*v - 3*v)*(4*v - 2*v - 3*v) + (4*v - 2*v + 0*v)*(-3*v + v + 0*v).\nAnswer: 105*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-3*-4*sqrt(1700) + sqrt(1700) + sqrt(1700) + 2 + sqrt(1700) + 5)*1 + 4)**2.\nAnswer: 3300*sqrt(17) + 382621","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes after 12:37 AM?\nAnswer: 7:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (46 - 45) + (-1 + 3 + -5 - -7)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 9 - z**2 + 2*z**2 + 2*z**3 - 2*z**2 in the form a + l*z + p*z**3 + k*z**2 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -12*x + 8. Let b be p(9). Let r = 165 + b. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -15*l - 41. Let b(r) = -4*r - 11. Let u(a) = -22*b(a) + 6*g(a). Calculate u(4).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2087, 4173, 6259, 8345, 10431?\n\"Answer: 2086*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, c: 17}. Give prob of picking 2 c and 1 l.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 18*k**4 + 3*k**3*x - 2*k*x - 6*x wrt k?\nAnswer: 216*k**2 + 18*k*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the third derivative of 1\/12*l**4 + 1\/30*l**5 - 17\/60*l**6 - l + 0*l**3 + 0 + 4*l**2. What is the third derivative of y(g) wrt g?\nAnswer: -204","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l = -2557*j + 2555*j + 56, 15 = l - 3*j for l.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-32)\/144 + (-88)\/252)*-7. What is the nearest to 5 in 2\/19, -4, j, -29?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -64*a**5 - 288*a**4 - 68*a**3 + 772*a**2 + 132*a - 484 = 0. Calculate a.\nAnswer: -11\/4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -i**5 - 8*i**4 + 950*i**3 + i**2 - 125692*i wrt i.\nAnswer: -60*i**2 - 192*i + 5700","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -24069512 divided by 238312\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b - 1. Let k be -1*3 + 5 + 1\/1. Let m(d) = -11*d - 3 + k*d + 11*d. Let p be (-3)\/(9\/(-6))*-1. Give p*m(n) + 7*q(n).\nAnswer: n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14*l**2\/3 + 222*l.\nAnswer: 2*l*(7*l + 333)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1a518 - -83?\nAnswer: -1a455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 67 - 32. Does 11 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 103404549 to the nearest integer?\nAnswer: 10169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 23 + -12. Let v = p + -9. Let y be ((-7)\/14)\/(v\/(-4)). Which is the biggest value? (a) 2\/23 (b) y (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 - -6. Let z(p) = -p**2 + 4*p + 7. Let s be z(5). Suppose -4*b - 3*t = 2*t - 16, s*t - 8 = -x*b. Solve 0*c = -b*c - 20 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**2 - 8*a + 7. Let o = -8 + 32. Let z = o - 23. Let t be 2 + ((-15)\/(-3) - z). Give x(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 867?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*1*((-42)\/(-4))\/(-7)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(136) + sqrt(136) + -6*sqrt(136)*1 + sqrt(136))\/sqrt(8))**2*1*-3*-2.\nAnswer: 1836","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a second in milliseconds?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -6, -7, -2, 9, 26, 49?\n\"Answer: 3*s**2 - 10*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -f. Solve 5*s + f*s = -25 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:51 AM and 4:56 AM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 65 - 64.99999744. What is a rounded to 7 decimal places?\nAnswer: 0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = 2*q - 37368, -q = 121 - 117. What is the thousands digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (2 - 1)*(-6 + 49)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/286*(-1045)\/190.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -33, -17, 13, 63, 139, 247?\n\"Answer: z**3 + z**2 + 6*z - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -66008.\nAnswer: 5\/66008","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 5, 591\/20, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, b: 4, x: 2, t: 2, n: 3}. What is prob of picking 1 r and 1 t?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 365 a factor of 259880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*l + 4*s, -2*s + 4*s + 5 = -l. Suppose -2*n - 16 = -3*o, -4*o + 5*o + l*n = -13. Solve 5*m + 0*r + r = 0, 4*m = o*r for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -10*o + 9. Suppose -2*s = 7*x - 8, -4*x = 260*s - 258*s - 8. What is j(s)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r = 2*y - 0 + 2, 5*r - 5*y + 10 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 496527791 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -204992*c**2 - 205005*c + 3. What is s(-1)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -18*i - 175. Give u(-10).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1460\/219 + 5\/((-5)\/6). What is the closest to -1 in i, 1.5, 2, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.1 (b) 3 (c) -0.5 (d) -0.027\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -30, -2, 3, 503 in ascending order.\nAnswer: -30, -2, 2, 3, 503","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 - 3. Suppose m = -2*c + 4, 4*z - 3*c - 1 = 21. Let k = -2 + z. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 16, -11, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -1 - (-1 - 3)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 7*d - 4. Let x be j(7). Let k(n) = -n**3 - 6*n**2 - 13*n - 14. Let q be k(-6). Let b = q - x. Are b and 18 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96*q + 84301651 + 37804582 = 22719641. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 2 n when three letters picked without replacement from {h: 1, z: 2, v: 7, b: 1, n: 3}.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 20\/(-6)*9\/(-6). Let v(k) = 6*k**3 - 4*k**2 - 3. Let z(f) = 7*f**3 - 5*f**2 - 4. Give o*v(b) - 4*z(b).\nAnswer: 2*b**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, -3, -14, 5.\nAnswer: -14, -3, 5, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, 8, 6301, -3, -4 in ascending order.\nAnswer: -4, -3, 1, 3, 8, 6301","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -57 (b) -4124\/35 (c) -4 (d) -1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xa when two letters picked without replacement from {x: 3, a: 7}.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(336) + sqrt(336)*2*1)\/(sqrt(972)*2))\/((sqrt(80)\/(sqrt(10)*-1))\/(sqrt(288)*2)) + -1.\nAnswer: -4*sqrt(7) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 + 3 + 6\/(-3). Suppose -2*t + 4 = -y. Solve 0*k + 2\/5*k**t + 0 - 1\/5*k**4 - 1\/5*k**2 = 0 for k.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**3 - 7*o**2 - 6*o + 2. Let p = 545 + -539. What is the smallest common multiple of p and r(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u = u - 14. Let d(i) = 3*i**u + i - 4*i**2 - i**2 + i**2. Let p(f) = f**3 + 2*f**2 - 4*f + 2. Calculate -4*d(v) - p(v).\nAnswer: -v**3 + 2*v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 2) + (69 - 72)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56236 = -1756*n + 102*n for n.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-735)\/(-30) + 9\/(-12) and 59\/182.\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 100030 = -36*z + 34*z, 3*n + 2*z - 60034 = 0. What are the prime factors of n?\nAnswer: 2, 41, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(720) - (-3*sqrt(720))**2*2.\nAnswer: -12960 + 12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.5, 4, -0.5, 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w - 10 = -4. Let v = -1 - -0.9. Let h = -19\/3 - -14\/3. What is the third biggest value in w, h, v?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1413 and 18.\nAnswer: 2826","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 3*k + 43 + 52 = 0, 0 = -n - 3*k + 35. Is 13 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1645\/3 - (-6)\/9. Let j = 6\/8551 + 778033\/153918. Find the common denominator of 3 + (8\/(-2) - z\/108) and j.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32141 is divided by 8013.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.9 + 0.1. Sort -3, -5, q.\nAnswer: -5, -3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.662131 rounded to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 n when two letters picked without replacement from nhwhvmj.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 21*f + 22. Let p(n) = -1037*n - 2. Give g(p(c)).\nAnswer: -21777*c - 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 49.95558km to micrometers.\nAnswer: 49955580000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4, -1017, -332.\nAnswer: -1017, -332, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -3, -20, 1, 3 in increasing order.\nAnswer: -20, -3, 0, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 652 and 1898?\nAnswer: 618748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**2 + 174*b + 1200.\nAnswer: 3*(b + 8)*(b + 50)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -27, 510, 5 in decreasing order.\nAnswer: 510, 5, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 2*c**2 + 136*c + 138. List the prime factors of l(-85).\nAnswer: 2, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k = -3*a - 8, -4*a + 13*a + 30*k + 4 = 25*k for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 2*n = 32. Let m = -26 + n. Solve m = 2*g + g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kttttpktkkttkppt. What is prob of picking 3 k and 1 p?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1617*k*z**2 + k*z - k + 2*z wrt z.\nAnswer: -3234*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11775 = 437*i + 48*i + 4381 + 1304 for i.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 - -758 - 5\/5. Let a = -274 + r. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 2 = b. Let q = b - 5. Is -14\/5 smaller than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 514, 219, 4, -5 in decreasing order.\nAnswer: 514, 219, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7591524 to the nearest integer?\nAnswer: 197","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -152 - -155. Suppose -4*h + 64 = 4*a, -2*h + 18 + c = a. What are the prime factors of a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-28 - -39) + -1 + -2 - -2\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(76)\/(sqrt(16)\/sqrt(4)) - (sqrt(19) - (sqrt(19) - sqrt(2299)*-3)**2)).\nAnswer: 131784","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(1\/4))**(-39\/2)\/(p**(2\/7))**(-13) assuming p is positive.\nAnswer: p**(-65\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from {f: 5, k: 2}?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6054)\/9 - -2 - 0. Let z = -8267\/12 - i. Calculate the common denominator of z and -49\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16002 take away -0.8?\nAnswer: -16001.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**3 + 4*y**2 + y - 4. Let o be u(-3). Let m be (-9)\/4*(-2 - o). Let w be (2\/m)\/((-10)\/15). Which is smaller: w or 1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -328\/3 and -2\/377 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -12, 0.4, 237?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 10\/(-14) - (-4)\/(-14). Let j(y) = y + 3*y**2 + 2*y + 0 - 4*y + 2. Let u(c) = -c + 1. Let f(b) = h*j(b) + u(b). Differentiate f(v) with respect to v.\nAnswer: -6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**3 + 20*b**2 + 18*b + 65. What is r(21)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 - 7. Suppose -z*y = -j - 24, -j - 1 + 5 = 0. Suppose -i = y - 118. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*j + 13*j = 50. Sort 5, 2, j in increasing order.\nAnswer: j, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 3069?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 129 and 215?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**3 - 12*l**2 - l - 1. Give g(12).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the first derivative of -u**3 + u**2\/2 + 2*u + 11. Let d be q(-1). Which is greater: d or 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the first derivative of 27*k**5\/5 + k**4 + 55*k**3\/3 + k**2\/2 + 455. Find the third derivative of h(r) wrt r.\nAnswer: 648*r + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-10)\/(-15))\/(6\/(-36)). Put 3, a, 0, 9 in ascending order.\nAnswer: a, 0, 3, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v + 2*p + 90420, 168518 = 4*v - 3*p + 47960. What is the ten thousands digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-32)\/(128\/30)*(-3)\/(-9))\/((-3)\/(-42))?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**3 + c + 1. Let m(q) = 7*q**4 + 4*q**3 - 3*q - 4. Let b(j) = -4*i(j) - m(j). What is the second derivative of b(t) wrt t?\nAnswer: -84*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 558446?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*q - 1764 + 19*q**4 + 763*q**3 + 1764 - 737*q**3 to the form p*q + s + u*q**3 + g*q**2 + z*q**4 and give p.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.5 and 2.47665.\nAnswer: 2.97665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1030942819 to the nearest integer?\nAnswer: 1010","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*x - 279 = 81*x for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 + -9937579375331.\nAnswer: -9937579375326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/1715 bigger than 0.7604?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 65722 and 38386?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**3 - 67*b**2 - 470*b + 108. Give v(-59).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8713?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -14*n**2 + 3*n + 4507. Is 21 a factor of a(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -8748871, -17497743, -26246615, -34995487, -43744359?\n\"Answer: -8748872*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**3 - 7*c**2 + 55*c - 229. Let d be r(5). Let s(i) = 6*i**2 - 3*i. Let p(x) = 3*x**2 - 2*x. Determine d*s(y) + 7*p(y).\nAnswer: -3*y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -7*i**3*v*y + 2*i**3*y**3 - 176*i**3*y + 10*i**3 + 22609079*i**2*v*y**3 - 2*i**2*y - 2*i*y**3 - 161*i*y**2 wrt v.\nAnswer: -7*i**3*y + 22609079*i**2*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yq when two letters picked without replacement from {o: 1, u: 1, c: 1, y: 3, q: 3, a: 2}?\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 354*g**3 + g**2. Let f be r(-1). Let h = -82 - f. Differentiate 271*i - h*i - 23 - 27*i**3 with respect to i.\nAnswer: -81*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 90337122 to the nearest integer?\nAnswer: 449","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 3*j. Let d(r) = -5084389*r. Determine x(d(o)).\nAnswer: -15253167*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -2*g**2 + 3*g - 12. Let l be d(-6). Let w = l + 41. Let r = -35 - w. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-5)\/k)\/k)\/(k\/(k\/k**5)*k)*k**(5\/2)\/(k\/((k\/k**(-5\/4))\/k)) assuming k is positive.\nAnswer: k**(-41\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -e1a - -6?\nAnswer: -e14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 17311007 to the power of 1\/3, to the nearest integer?\nAnswer: 259","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 4*a + 60. Let g be (-26)\/(-12) + 2\/a. Suppose g = 3*n - n. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11422 (base 11) to base 6\nAnswer: 204144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 107.56 + -107.36. What is the nearest to 0.2 in f, 1\/2, -0.3, 992?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*n + 42*n - 5*v - 379 = 0, -2*n + 95 = 3*v. Solve n*i - 47*i = 5 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1079 and 797212.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**2 - 5338*t + 4243420.\nAnswer: -2*(t - 641)*(t + 3310)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -7*n. Let k(j) = 581*j - 1253798 + 1253798. Determine s(k(g)).\nAnswer: -4067*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a century in years?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -39, -174, -403, -726, -1143, -1654, -2259?\n\"Answer: -47*j**2 + 6*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the third derivative of -b**6\/6 - b**5\/15 + b**4\/6 - 19*b**2 + 12. Let d(n) = 180*n**3 + 35*n**2 - 35*n. What is -35*a(k) - 4*d(k)?\nAnswer: -20*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10626750 to the nearest integer?\nAnswer: 3260","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.05 - -1.4. Let m = o - -0.05. Let d = 233 + -1169\/5. Which is the biggest value? (a) d (b) 5 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (28\/6)\/(((-1020)\/2448)\/((-10)\/8))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*i = -22*i - 23*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 15 = -5*l, -5*q + 2 + 4 = 2*l. Let k(n) = -37*n - 4. Let a be k(-5). Suppose q = -4*u + a + 75. Does 16 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**2\/3 - 110764*g\/3 - 3213838\/3.\nAnswer: 2*(g - 55411)*(g + 29)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 5695703 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 2*q - 43 - 785 = 0, q = 4. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -7*o**3 + 9*o + 49. Let r(x) = 2*x**3 - 2*x - 12. Let h(v) = 18*r(v) + 4*s(v). Let c(u) = u**3 - 3. Calculate -20*c(d) + 3*h(d).\nAnswer: 4*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 120111240232 - -3?\nAnswer: 120111240240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40156?\nAnswer: 2, 10039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 14 = 2*s, -s = 4*n + s - 22. Suppose u + 20 = 5*j, 3*j - n*u - 17 = 4*j. Suppose j*g - 18 = -0*g. Solve -3 = p - g for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 6*q**3 + 10*q**2 - 14*q + 14. Let n(t) = 2*t**3 + 3*t**2 - 5*t + 5. Determine -14*n(z) + 5*p(z).\nAnswer: 2*z**3 + 8*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 197, 47, 4173.\nAnswer: 47, 197, 4173","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -502 = -w - 2*i, -4*w + 1993 = -10*i + 15*i. Calculate the remainder when w is divided by 26.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 131d (base 15) in base 6?\nAnswer: 30514","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 11424*h**3*l + 7*h**3 - 6361*h**2 - 4*h*l**2 wrt l?\nAnswer: 11424*h**3 - 8*h*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 5 + 2 = 0. Let x be (-1 - z) + 11645\/350. Let f = 291\/7 - x. Calculate the common denominator of -101\/16 and f.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 1226481?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 6*l - 4*l**3 - l**4 + 2*l - l**3 + 2*l**4. Let y(q) = -q**4 + 6*q**3 - 9*q. Let z(a) = -6*c(a) - 5*y(a). What is the second derivative of z(g) wrt g?\nAnswer: -12*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.073? (a) 3\/8 (b) -0.26 (c) 247\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1, -2, 5, 28 in ascending order.\nAnswer: -4, -2, -1, 5, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 550 + 415. Suppose 5*j + u = -f, j + 702 - 1673 = f. Round f to the nearest 100.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/5, 0.1, 2, -340, 0, -2\/55 in ascending order.\nAnswer: -340, -1\/5, -2\/55, 0, 0.1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 94, 336, 578, 820, 1062?\n\"Answer: 242*a - 148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ettlelteltetll. What is prob of picking 1 l, 1 e, and 1 t?\nAnswer: 25\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -66, -73, -84, -99, -118, -141?\n\"Answer: -2*t**2 - t - 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, g: 7}. Give prob of picking 2 g.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5621?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2331202 - -121233?\nAnswer: -2203303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u + 3*m - 23, -3*u + 22 = -u + 4*m. Let f(c) = 2*c**2 - 2*c. What is the remainder when f(-3) is divided by u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -u + 5*x, -415*x = -4*u - 414*x - 20. Sort 10, u, -17, 5 in ascending order.\nAnswer: -17, u, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 332 = 320. Let y(l) = -l - 3. Calculate y(a).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 34\/10 + (-16)\/40. Suppose 2*u - k*u = -4*a + 6, 0 = u + 2*a - 12. Suppose u*i - 9*i = -24. Does 5 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*y**3 - 344 - 210 + 74 + 255*y**3.\nAnswer: 262*y**3 - 480","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 54\/20) + (-9797)\/(-19594) - 1*-6.\nAnswer: 24\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t + 36 = 4*n + 10, -t + 7 = n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, h: 12, b: 2}. What is prob of sequence bk?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 9687781 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 26 + -70370?\nAnswer: -70342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2379*p = -2403*p + 96. Let v = -0.54 + -0.16. Let y = v - -0.5. Sort y, 2, p, -0.1.\nAnswer: y, -0.1, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1937077 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: b\"What is the vth term of 6091, 5843, 5595, 5347, 5099, 4851?\n\"Answer: -248*v + 6339","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 2*k. Suppose -74*y - 13 = -75*y. Let n(s) = 33 - 33 - y*s. Determine n(u(l)).\nAnswer: -26*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Do -143370 and -143351 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/45? (a) -1 (b) -5 (c) -4\/11 (d) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -65 - -65.01. Which is the fourth biggest value? (a) 3 (b) x (c) 1\/4 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 376 + 713?\nAnswer: 1311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/180 and (0 + (-1 - -7)\/(-720))*187?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6)\/(-2)*(1 - -1). Let w be 26*(-1 - (-9)\/z). Suppose -3 - w = -2*r. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -46 + (345 - 361 - (1 + -11))\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (103 + 6*r + 110 - 216)*(5*r - 2*r - 2*r).\nAnswer: 6*r**2 - 3*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 = -5*u - 3*k, 0 = u + 3*k + 8 + 3. Let b be 1 - 1 - 2\/2. Let s(f) = f + 1. Let j(v) = -2*v + 5. Let t(r) = b*j(r) - 4*s(r). Give t(u).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 7*r**2 - 4*r - 3. Let a = -56 + 55. Let j be o(a). Let s = j + 30. Is 19 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3483 and 258.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s**2\/4 - 21*s\/4 + 9\/2 = 0. What is s?\nAnswer: 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c**2 + 5*c**2 + 9*c**2)*(23 + 20 + 5)*(5*c - 2*c - 4*c).\nAnswer: -624*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -227.62 and 1061.\nAnswer: -241504.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -6904515 divided by 2301505\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1463 by -15165.\nAnswer: 1463\/15165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 65913404 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/2 in -49, -0.04, 0.01, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4680276.\nAnswer: 2, 3, 79, 4937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 14328\/(-351) - (-2)\/6. Let o = 444\/13 + t. Find the common denominator of -16\/9 and o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o**4 - 2*o**2 + 2*o**2 + (-3*o - 2*o + 6*o)*(2*o**3 - 3*o + 3*o) + 4*o + o**4 - 4*o + 2*o**4 - 2*o**4 - 3*o**4)*(1 + 5 - 3)*(2 - 2 - 2)*(-1 + 0 + 2).\nAnswer: -6*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1486134007 to the nearest integer?\nAnswer: 38550","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23505018 is divided by 452.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 4, f: 15}. What is prob of sequence uf?\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 116648767 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4777\/28 + -1077\/7. Let w = -816\/43451 - 13753570529\/955922. Let o = 14391 + w. Calculate the common denominator of o and t.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10053607 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(363) - (sqrt(363) + sqrt(363) + 1)) + 2 - (sqrt(363) + 0)*-2) + (sqrt(363)*1 + 1)*6 + -5)*-4)**2.\nAnswer: 4928*sqrt(3) + 284656","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 450 and 250.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence em when two letters picked without replacement from muert.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -101*a - 1805 + 134 = 2571 for a.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -57 + 77. Suppose -8 + r = s. Suppose 0 = x - s*x + 198. Calculate the greatest common factor of 72 and x.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0\/(-1)*(-3)\/(-45)*-5\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 47737 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = 40 - 40. Sort 5, w, -1, -2 in ascending order.\nAnswer: -2, -1, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 29 - 31 = 0. Let r = 43 - m. What is the remainder when 77 is divided by r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -4, -469, 4\/7, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -864 + 844.53. What is t rounded to the nearest integer?\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zwpwwwwwpwwpp. What is prob of sequence zpw?\nAnswer: 8\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 657*u - 34823 = 219 + 8122 + 19908 for u.\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 15610 to the power of 1\/2, to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 48 + -42. Let c(y) = -2*y + 13. Let m(d) = -d + 7. Let i(n) = z*c(n) - 11*m(n). Let b be i(-6). What is the highest common divisor of b and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/21 (b) 9 (c) 3 (d) 3\/4 (e) -4017\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13082 - -29746. List the prime factors of n.\nAnswer: 2, 2083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 2*x - 143 + 143. Let r(o) = -6*o. Determine z(r(n)).\nAnswer: -12*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-263)\/(-789) + ((-281)\/(-3))\/1. What is the highest common factor of 7332 and l?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 4*s = -5250. What are the prime factors of s?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/5 in 0.02, -1\/4, -1\/8, 18, 3\/2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2, -3, 433517?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9 - 0. Let i = u + -4. Suppose -13*f - 11 = -2*f. Which is the third smallest value? (a) i (b) -1\/3 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 - -8. Suppose s = -1 - t. Let x = 7 - s. What is the remainder when x is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/24 and -47\/9332?\nAnswer: 55992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 317?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 104\/65 + -3 - (-4)\/10.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f**2\/5 + 916*f + 4584\/5 = 0. What is f?\nAnswer: -1, 1146","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 5076, 4, -5, -7, 2 in descending order.\nAnswer: 5076, 4, 2, -3, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 95759.27 days?\nAnswer: 8273600928000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3\/9*3\/(-2)*4\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*z - 80*z**2 - 73*z**2 - 27 - 5*z + 130*z**2 in the form f*z + o*z**2 + a and give a.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 41 + -23. What is the least common multiple of z and (-35)\/(10 - 3) - -35?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39423?\nAnswer: 3, 17, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10 - 11. Let q be d + (-14)\/(4 + -3). Let p = q - -28. Calculate the smallest common multiple of p and 6.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15939 is divided by 2770?\nAnswer: 2089","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1a979297 - 5?\nAnswer: 1a979292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((1104\/64)\/23)\/(0 + -12)?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -1719*c**3 + 7*c**2 + 8*c + 1. What are the prime factors of d(-1)?\nAnswer: 3, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**2 + p - 14. Let b = -218 - -218. Calculate z(b).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.5, 2\/191, -87013?\nAnswer: 2\/191","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(270)\/(sqrt(6)*-2) + sqrt(45) + sqrt(45)).\nAnswer: -9*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 71 - -173. Let u be (-2)\/((-8)\/z) + -1. Suppose 33*s + 118 = 35*s. Which is smaller: s or u?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 142, 482, 1046, 1828, 2822, 4022, 5422?\nAnswer: 7016","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 45740 (base 9) in base 14?\nAnswer: b180","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-44864)\/(-6309) - 1\/9.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46 + 13 + (-30 - 2)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92*n = -98*n + 187*n - 18 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-3*(sqrt(36) - sqrt(36)*-3) + sqrt(36) - (sqrt(3600)*-3 + sqrt(36)))\/(sqrt(432)\/(2*sqrt(36))).\nAnswer: -108*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-31) + 486\/310)*15\/138?\nAnswer: 4\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 3*w = 18, 0*r + 3*w = -4*r. Let u be -3 - (-6)\/9*r. Let g(c) = 3*c**3 - c. Let i be g(u). Is i smaller than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-5)\/20 - 2\/(-8). Suppose -u - 9 + s = 5*r, -2*u + r - 7 = 0. Is 8\/u - -2 - -31 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vr when two letters picked without replacement from {v: 4, x: 3, s: 9, r: 2}?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/12*8\/(-10). Let l be 5*((-6)\/(-50))\/((-27)\/18). Which is the second smallest value? (a) -0.2 (b) u (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 603, 361, 119, -123, -365, -607?\nAnswer: -849","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 5*z + 35 = 6*a, -a - 10 = 3*z. Solve 16 = 4*s, a*c + 4 = s - 5 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5520*q - 18420 = -4292*q for q.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 take away 7169645916070?\nAnswer: -7169645916068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2267491 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(2*sqrt(85) + sqrt(85)) - sqrt(85))\/sqrt(5)*-6 + (((sqrt(68)\/sqrt(2))\/sqrt(2))**2 - (sqrt(17) - -1*sqrt(68))))*-2 + -4.\nAnswer: -38 + 30*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**2 - 5*t - 3. Let u be s(-2). Let h = 8309 + -8309. Solve -5*j + 0*q = -q - 14, h = -j - u*q + 6 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 1569*g**2 - 9*g - 119. Is m(-8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -54 - -31. Let x(v) = -v**2 + 3*v + 21. Let t be x(8). Let r = t - f. Solve y = -q - 8, 2*q = 5*q - 4*y - r for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32956059.\nAnswer: 3, 10985353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 121\/2 or 60?\nAnswer: 60","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:40 PM and 10:05 AM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.3 + 39.7. Let o = 48 - z. Sort -2, o, 1, 3 in decreasing order.\nAnswer: o, 3, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83*u + 5809 + 10198 = 330*u - 10175 for u.\nAnswer: 106","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 26\/312*(-16)\/(-18)?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 23 - 7145666?\nAnswer: -7145643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1328 rounded to the nearest 10?\nAnswer: 1330","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*r - r + 0*r.\nAnswer: -10*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 6618545?\nAnswer: 3\/6618545","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the third derivative of r**8\/504 + 2*r**7\/105 - r**6\/30 - 22*r**5\/45 - 17*r**4\/12 - 2*r**3 - 33*r**2 + 2*r. Factor b(l).\nAnswer: 2*(l - 3)*(l + 1)**3*(l + 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 0*y**2 + 3\/4*y**3 + 3\/2 - 9\/4*y = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -14670 greater than or equal to -117363\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 335*d**5*g**3*i**3 - 4*d**2*g*i**3 - 2208*d*g*i**3 + g**3*i wrt d?\nAnswer: 6700*d**3*g**3*i**3 - 8*g*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6a (base 14) to base 15.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (18 - 3) + -7 + (27 - 4)\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**3 - 79*i**2 - 880*i - 1452.\nAnswer: -(i + 2)*(i + 11)*(i + 66)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 + 7. Let t = 15 - 8. Suppose -10 = -t*m - 38. Sort f, m, 3 in ascending order.\nAnswer: m, f, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15513837199 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**(-3\/2)*h**3)\/(h**(3\/5)\/(h\/((h*h*h**(3\/7))\/h))))\/((h**(-2)\/h)**(-2\/19)\/((h**(8\/5)*h)\/(h**(2\/19)*h*h))) assuming h is positive.\nAnswer: h**(1237\/266)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-72*z + 166*z - 49*z)*(4 - 7 + 1)*(0*z**2 + 2*z**2 + 11 - 12 - z).\nAnswer: -180*z**3 + 90*z**2 + 90*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 80989798 and 1052.\nAnswer: 526","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**2 + 10*i - 3. Let v be c(9). Determine x, given that 5*x**4 + 0*x**2 + 5 - v*x**2 - 4*x**2 + 0*x**4 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 852.\nAnswer: 2, 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*w + 86 - 81 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7 - 7 - a**5 + (5 - 2 - 1)*(a**5 - a**5 - 2*a**5) - a**5 + 2*a**5 + a**5 + 5*a - 5*a - 7*a**5.\nAnswer: -10*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (24\/9)\/(2 + (-535)\/270). Suppose -9*m + 5*m + k = 0. Let q be 0 - -2 - 64\/m. Which is the closest to q? (a) 0.2 (b) -0.1 (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2279 (base 10) to base 13\nAnswer: 1064","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*h + 1044 = -9*h. Let m = -210 + h. Let f = -38 + 68. Calculate the lowest common multiple of f and m.\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -15\/7, -7005 in descending order.\nAnswer: 0.5, -15\/7, -7005","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 446 - 230. Suppose 827 + r = 7*y. List the prime factors of y.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 5*j + 18, -3*v = 5*j - j + 2. Let n = v - 0. What is the third derivative of -z**6 + n*z**6 - 4*z**2 - 2*z**6 + 3*z**6 wrt z?\nAnswer: 240*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 111211 (base 4) to base 7\nAnswer: 4012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 135 = -4*n + 359. What is the remainder when n is divided by 150\/8 - 2\/(-8)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 117 = -389. Let j(n) = n**3 + 48*n**2 - 154*n + 198. Let p be j(-51). Let f = p - g. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -164702108, -164702120, -164702132, -164702144?\nAnswer: -164702156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 91 - 71. Suppose 19*m + 6 = z*m. Solve w = m*w + 10 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23505 is divided by 22714?\nAnswer: 791","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.0674 and 1397?\nAnswer: 94.1578","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 15*j + 356 = 11*j, -441 = -5*f + j. Find the second derivative of -73*d**3 + f + 9*d**3 + 5*d - 68 wrt d.\nAnswer: -384*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2551 - -2954. What is the highest common divisor of g and 169?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes after 2:41 AM?\nAnswer: 4:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-42)\/(-54) + -1 - 20\/(-9). Suppose 6 = -5*q + p*r, 3*q - 12 = -98*r + 94*r. Solve -2*s + o - 4 = q, 3*o - 1 = s + 1 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/5 - (132\/(-5))\/(-4). Let p(r) = r**2 + 3*r - 12. Let s be p(k). Solve 0 = -s*t + t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 155\/108108 and 47\/4.\nAnswer: 108108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 2*l - 25 = 0, -19 = 33*h - 36*h - 2*l. Solve -h*x + 27 = 3*t, -41 = -5*x - 16*t + 12*t for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 9, r: 11}. What is prob of picking 2 h?\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**2 + 118*y + 4567. Let w be h(-50). Is w smaller than 1167?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:53 AM and 5:12 PM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -20 + 22. What is the units digit of (0 + 2)*7\/u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -3371, -13036, -29143, -51686, -80659, -116056, -157871, -206098?\n\"Answer: t**3 - 3227*t**2 + 9*t - 154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/9 (b) -163 (c) -3\/2 (d) -0.4 (e) 0.15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.05 + 0.22. Let d = -0.14 + n. Let t = d - -2.97. Which is the second biggest value? (a) -5 (b) t (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of l**3*m*t + 198*l**3*m - 2*l**3*q*t + 2*l**3*t + 318*l**2*q*t - 2*l**2*t + 2*l*m*q*t - l*q*t + 4*m*q*t wrt l.\nAnswer: 6*m*t + 1188*m - 12*q*t + 12*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1907, 2348, 2789, 3230?\n\"Answer: 441*y + 1466","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -768*u - 372 = -861*u. Solve 2*d - 11 = 3*g - 6, 0 = -2*g + u*d + 2 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 2\/9, -573, -4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -51, 5, -75, -4.\nAnswer: -75, -51, -4, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 37.974421 plus 56?\nAnswer: 93.974421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-1 + 3) - 44\/(-11). Let u(c) = -d*c**2 + 232477*c - 232477*c. Let p(h) = 6*h. Determine u(p(s)).\nAnswer: -108*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (13 - 5) + -5 + 0 + -5\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4, -4\/9, 5, -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 16\/(-3014)*3\/(-12). Which is bigger: 1 or m?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = 3*g - 48. Let w = -20 - -20.5. Which is the closest to g? (a) w (b) -5 (c) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31793 to the power of 1\/2, to the nearest integer?\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o*o**(3\/5)*o*o)*o*o)\/o)\/((o*o*(o**8\/o)\/o)\/o)*(o**(2\/7))**(-4\/31) assuming o is positive.\nAnswer: o**(-9371\/1085)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4\/15 - 2\/3. Calculate the common denominator of o and 67\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 35 in 7\/16, 0.12, -0.04, 1, -2\/15?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -18 + 21. Suppose j - 4*u = 19, 2*j - u = w*u + 26. Solve -3*k = -j*k - 12 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + -4)*(1*(-3 - -3) - 5).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 889 = a + a, -4*y + 4*a = -700. List the prime factors of y.\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes before 8:55 AM?\nAnswer: 7:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**3 - 14*b**2 - b - 209. What is j(15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/21 + 4*14\/98. Which is the nearest to u? (a) 4\/3 (b) -2\/7 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.2 (b) -0.0461 (c) 62 (d) 2 (e) -2\/11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (14\/140)\/(6\/(-24)). What is the closest to 6 in 2, -3\/8, v, 2\/9?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -4*p - 18. Let a(t) = -1. Let i(d) = 17*d**2 - 11*d - 22. Let h(x) = -5*a(x) + i(x). Let g(m) = -8*m**2 + 5*m + 8. What is p*h(u) - 13*g(u)?\nAnswer: 2*u**2 + u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s*s**(2\/5)*s**0)\/(s*s**1\/s*s*s*s)**11)**(-3\/7))**(-3) assuming s is positive.\nAnswer: s**(-1872\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -5, 7, 0.5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 794942778 a multiple of 98?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 253072?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-5*(-2)\/(-30))\/(2\/(-642))?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -44 - -23. Let w = -21 - l. Which is the biggest value? (a) 1\/7 (b) w (c) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -84.999867 - -85. Round a to 5 decimal places.\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-25)\/(-2))\/(1100\/2640)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the first derivative of 2*i**3\/3 - 1. Let h(y) = y - 1. Let m be h(3). Let t(a) = -m*a - 4*a + 5*a + 2*a. Determine t(c(u)).\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (13\/3)\/(1\/(-3)). Let v = k + 21. List the prime factors of 1\/1 + v - -1.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2817 + -2754. Solve -62*o = -w*o - 2 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 21, 9848, -2, 16 in decreasing order.\nAnswer: 9848, 21, 16, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44925 is divided by 340.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**2 + 6*m - 5. Let g be r(5). Suppose -s = -2*x - 2*x + 13, 3*x - 8 = -s. Let l(u) = u + g*u - 4 - x*u + 0*u. Calculate l(6).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 140 and 5740.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least -2\/171015?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Do -406 and -10549\/26 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(704) + sqrt(704) + (sqrt(11) - (((sqrt(11) - (sqrt(11) + 0)) + sqrt(11))**2 + 1)).\nAnswer: -12 + 17*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 96\/(-624) - (-18)\/(-52)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -24435 + 4325119\/177. Let u = h + -2\/59. Let q = 18 - 56\/3. What is the nearest to u in -3\/4, -3, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ef when two letters picked without replacement from kkeeefekkeseekkkk?\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.915 less than -47854996?\nAnswer: -47854995.085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Is 25822769 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7856 + -7852. What is the nearest to 0 in v, 88, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 764 + -764. Which is smaller: w or 2\/715?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*h + 7696 - 1502 = 0. What are the prime factors of h?\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:57 PM and 2:29 AM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1289, 2467, 3575, 4613, 5581, 6479?\n\"Answer: -35*y**2 + 1283*y + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 > -15\/14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -78544.535 + -6.\nAnswer: -78550.535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 + 5. Find r, given that 11*r**2 - 2*r**2 + 1 - 1 - 3*r - 9*r**u + 3*r**4 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -32 in -2\/19, -2, 0, 0.1, 0.5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 102*y + 70100000. Let b be w(0). What is b rounded to the nearest 1000000?\nAnswer: 70000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 52\/243651 and 85\/150738752?\nAnswer: 452216256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**3 - 2*g**2 - 4. Let u be -2*1 + (-4 - -10). Let z be d(u). Suppose -2*r - 3*r = -n + z, -3*r = 4*n - 20. Is 5 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10 and 2140?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -2*g + 8. Let r(v) = v - 4. Suppose -3 - 3 = -2*i. Let h(a) = i*o(a) + 5*r(a). What is h(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 4 + 2 - (0 - 5).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(1573) + 1)**2.\nAnswer: 1573","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 132 + -132. Suppose u = -2*w - w. Solve -4*r - 3*b - 10 = 0, -3*r + w*r - 5*b - 13 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 + 5 + (3 - 7)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 3*x = -2*u - 49, 0 = -4*u - 2*x + 252. Suppose -4*p = -u - 1207. Suppose -3*k + p - 44 = 0. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8297 - 8296.99974272. Round a to 5 dps.\nAnswer: 0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7\/30 - -5\/6. Let y = -19960 - -19959.92. Sort p, -0.4, y in ascending order.\nAnswer: -0.4, y, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -21 + -1. Let i = -19 - z. What is the second derivative of 7*l**2 - 20 + 20 - i*l + 2*l**2 wrt l?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 9\/10 of a millennium?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 5*c - 35. Calculate l(14).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 103*m + 2589 = -85*m - 795 for m.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4130711 to the power of 1\/2, to the nearest integer?\nAnswer: 2032","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the first derivative of 0*f**6 + 16\/7*f**7 + 0*f**4 - 20 - 20\/3*f**3 + 0*f**2 + 0*f**5 + 0*f. What is the third derivative of o(l) wrt l?\nAnswer: 1920*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 - 9\/6)\/9. Let n = -78 - -57.1. Let c = n - -15.9. Sort z, c, 1\/2, -0.5 in descending order.\nAnswer: 1\/2, z, -0.5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**3 + 7*z**2 + 5*z - 37. Give k(7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the third derivative of -2*b**7\/105 - 17*b**6\/360 + 49*b**5\/180 - 23*b**4\/72 + b**3\/6 - 108*b**2. Let p(z) = 0. What is z?\nAnswer: -3, 1\/4, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3990513631129*a**3\/2 + 11971532902879*a**2\/2 - 11985760*a + 6.\nAnswer: (a + 3)*(1997627*a - 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -2*o**2 + 6*o + 3. Suppose d - p - 12 = -4, -4*p - 4 = 3*d. Let i(x) = 12 - 4 + x**2 - 7*x**2 + 17*x. Determine d*i(j) - 11*u(j).\nAnswer: -2*j**2 + 2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 - 355842?\nAnswer: -355840","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-30)\/(-70) - 216\/308?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - (15 + -6)*1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add -47 and -33.\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -413*q**4 - 62*q**3 - 2*q**2 + 474671?\nAnswer: -1652*q**3 - 186*q**2 - 4*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1 - (3 + -3)\/5 - -261 is divided by 16?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5466193 litres in millilitres?\nAnswer: 546.6193","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -63*g**2 - 3*g + 1. Let u(r) = 9*r**2 + r. Determine -m(o) - 6*u(o).\nAnswer: 9*o**2 - 3*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 + -1099a?\nAnswer: -10999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(-3)*g**7*g*g*g**(-12)*g\/g**(-5\/8))**37 assuming g is positive.\nAnswer: g**(777\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1405 a factor of 250012085?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(72) - 1*sqrt(72))*-2)\/((sqrt(72) + 4*(sqrt(72) + sqrt(72)*-2))\/((sqrt(96) + sqrt(96)*2 + sqrt(96))\/sqrt(12)))*-5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -b**2 - 74*b**4 + 3*b + 24*b**4 - 89*b**4 + b**3 + b**3 - b as f*b**4 + x + a*b**3 + y*b**2 + j*b and give f.\nAnswer: -139","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:07 AM and 12:32 PM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the third derivative of 85\/6*t**4 - 50*t**3 + 67*t**2 + 0 - 31\/45*t**5 + 1\/90*t**6 + 0*t. Let z(m) = 0. What is m?\nAnswer: 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5.7463 - -0.0763. Let i = -41.13 + q. Round i to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 296035*l + 5 - 296032*l - 5. Let n(a) = 790*a**2. Determine u(n(k)).\nAnswer: 2370*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4658323 + -1?\nAnswer: -4658324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 137392995 a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-512)\/(-80)*(-71)\/(-42032)?\nAnswer: 2\/185","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1928 + 3749. Let q = 1808.31 - c. Let j = q - -12.2. What is j rounded to 1 dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 10658, 21474, 32578, 44114, 56226?\n\"Answer: 24*u**3 + 10648*u - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13 - -4814. Round o to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - (33 + -32) - (-2 - 13)) + -30.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-20*50\/250)*4*-71.\nAnswer: -142","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g**2 + 0*g + 0*g - 2*g - 2*g**2 + 2*g + (-2*g - 4*g + 4*g)*(g + g + 0*g))*(-2*g**2 - 3*g**2 + 4*g**2).\nAnswer: 8*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 19211989 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1360 is divided by 60?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 - 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31081774?\nAnswer: 2, 2707, 5741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 4303155?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b when three letters picked without replacement from bdbbbbbddbkzmkddd.\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17*w - 15*w + 48*w**2 - 47*w**2 to z*w + h + d*w**2 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes after 9:24 PM?\nAnswer: 4:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7286 - -12272. Suppose -18*v = -0*v - z. What are the prime factors of v?\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2*m**2 + 1 - 3)*((8 - 1 - 1)*(0*m - 2*m + 3*m) + (6*m - 26 + 26)*(57 - 38 + 51)).\nAnswer: 852*m**3 + 426*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -1\/5, -0.3, -11945 in increasing order.\nAnswer: -11945, -0.5, -0.3, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12 - -10. Which is the biggest value? (a) 0.11 (b) 0.1 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -26*x**2\/9 - 14434*x\/9 - 740\/3 = 0.\nAnswer: -555, -2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s - 1. Let t(n) = -n**2 - 5*n + 3. Suppose -4*p = -2*p - 6. What is p*d(r) + t(r)?\nAnswer: -r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes before 12:51 AM?\nAnswer: 10:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 + 3*(-1)\/(-3). Let x be 0\/(-1) + u + 1 + -3. Let n be (-2)\/(-4)*x\/(-20). Is n at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 3, -0.5, 0.4, -0.4, 1485?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**3 + 5*v**2 + 4*v + 11. Let q be a(-5). Let i = q - -26. Is i a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 11, b: 2, n: 2, i: 1}. Give prob of sequence isbs.\nAnswer: 11\/2184","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1503, -1502, -1501, -1500, -1499, -1498?\n\"Answer: o - 1504","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 2806144, 2806147, 2806150?\n\"Answer: 3*r + 2806141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 2 c when three letters picked without replacement from rrrdrcicrrrcrcr.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -99182 or -99181?\nAnswer: -99181","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 8*z = 5. Let j = 1 - z. Is (14\/j)\/(4 - 3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4.4712*-0.97\nAnswer: -4.337064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 - 65 + 36 + (-1 - 1 + 4)*(30 + 14 - 11))*(-8*o + 3*o - 5*o) to the form d*o + m and give d.\nAnswer: -310","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 57 + -67. What are the prime factors of 25\/m*(2 + -60)?\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -214, -214, -194, -148, -70, 46, 206, 416?\nAnswer: 682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1344.8 - -1345. Let l = 15 + -19. Which is the closest to 0? (a) 7 (b) l (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2361, 2360, 2357, 2352, 2345, 2336?\nAnswer: 2325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is fc03 - 2df?\nAnswer: f924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 2 + 0)*(51*a - 13 - 104*a + 52*a) + 4*a - 4*a - 3*a in the form b + z*a and give b.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/33)\/(26202\/726 + -33)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -4122*s - 5028. What are the prime factors of x(-14)?\nAnswer: 2, 3, 5, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4, -5, 2\/27.\nAnswer: -5, -4, 2\/27, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 18*b**3 - b**2 + 3*b - 2. Let r be y(1). Let h(k) = -25*k**3 - 2. Let g be h(-2). Calculate the greatest common factor of r and g.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (q**3 + 3*q**3 + 3*q**3)*(-3 + 8 + 3)*(438 - 438 + 6*q)*(-2 + 0 + 4) in the form r*q**3 + l*q + w*q**2 + u + j*q**4 and give j.\nAnswer: 672","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25\/(9750\/(-135))*8\/(-18).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16 - 16.2. Let i be (3\/14)\/(36\/42). Which is the biggest value? (a) -17\/6 (b) i (c) x (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a when three letters picked without replacement from {o: 9, t: 2, a: 5}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 191 = -5*t + 3*a + 103, 2*t + a = -44 for t.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 2363*4.9\nAnswer: 11578.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3577.\nAnswer: 7, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -12*j - 100. Let w(b) = 6*b. Determine w(v(f)).\nAnswer: -72*f - 600","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 4260 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(1\/2)\/s)\/s)\/s*s**(6\/7)*s*s**(5\/6)\/s*s**(-4\/11) assuming s is positive.\nAnswer: s**(-271\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 8 (b) -0.5 (c) 0 (d) -20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 2*q = -106896, -155039 = -5*v - q + 112221. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 2*d**5 + 36*d**4 + 247*d**3 + 920*d**2 + 1643*d + 1152. Let v(l) = l**3 - l. Suppose 0 = 4*g - 79 - 9. Let u(b) = g*v(b) + 2*j(b). Factor u(t).\nAnswer: 4*(t + 3)**2*(t + 4)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2441*t - 928*t - 557*t)*(0*t**2 + t**2 + t**2)*(-3*t**2 + 2*t**2 - 2*t**2).\nAnswer: -5736*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6.63 + -30.581.\nAnswer: -23.951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 123 is divided by 26?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 133698527 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**2 - 4*p. Let r(f) = -f**3 + 2*f**2 - 8*f. Suppose -57 = -5*v - 72. Give v*r(h) + 7*c(h).\nAnswer: 3*h**3 + h**2 - 4*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 903 a factor of 87882669?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 231373?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 899 - 1553. Is 4 a factor of 3 + 3\/((-18)\/z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q**3 - 74695*q**2 + 15243400*q + 62169040 = 0 for q.\nAnswer: -4, 211, 14732","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c + 4205*b - 100 = 4201*b, -90 = 5*c - 2*b for c.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -6*g**3 + 8*g**2 + 7*g + 4. Let x(v) = -12*v**3 + 13*v**2 + 13*v + 9. Let s(f) = 4*x(f) - 9*y(f). What is the second derivative of s(z) wrt z?\nAnswer: 36*z - 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 202.65 + -202.46. Is -2\/231 at most as big as u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55299767 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*f**4 + 4*f - 4*f + (66615 - 196*f - 66615)*(-1 + 3 - 4)*(4*f**3 - 4*f**3 - f**3) to the form n*f**4 + l + w*f**2 + x*f**3 + k*f and give n.\nAnswer: -394","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -18*x + 3. Let f be t(-7). Let i = -83 + f. List the prime factors of i.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54137984 to the power of 1\/4, to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1010846215 a multiple of 7271?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -5467 + y + 23*y + 5456 as i*y + u and give u.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -32 - -21. Let z(j) = -9*j - 3. Let y(m) = 8*m + 3. Let d(v) = -4*y(v) - 3*z(v). Let q(a) = 26*a + 16. Calculate g*d(k) - 2*q(k).\nAnswer: 3*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 t, and 1 r when three letters picked without replacement from {s: 1, t: 1, r: 1, i: 4, b: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-2\/7))**(3\/11)*(o\/(o*o*o**(-2\/9)\/o))\/((o\/(o**(-6)*o*o))\/o) assuming o is positive.\nAnswer: o**(-2672\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = g - 34, 50 = 2*g - 0*g - 2*b. Suppose 5*y - 113 = -33. Let s = y - 9. Calculate the greatest common factor of g and s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 2*u + 5. Let a(w) = -w**3 + 8*w**2 - 10*w - 7. Let o be a(6). Let z be 5*5\/(o\/(-1)). Give n(z).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 7*y**2 + 7*y - 7. Let d = -17 + 13. Let s(f) = -3*f**2 - 3*f + 3. Determine d*j(m) - 9*s(m).\nAnswer: -m**2 - m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) + -3 + 3 + sqrt(13) + sqrt(13))**2 + -4*sqrt(637) + -5.\nAnswer: -28*sqrt(13) + 112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10368, -10370, -10372, -10374?\nAnswer: -10376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 254 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43855946.\nAnswer: 2, 29, 227, 3331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -883, -1698, -2507, -3310, -4107?\n\"Answer: 3*l**2 - 824*l - 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 314124 to the power of 1\/3, to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 394?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -403 + 405. Solve z*t - 1 = 5 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3804, -7606, -11410, -15216, -19024, -22834?\nAnswer: -26646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5986 - 5984 - 5981 + 17951 + 24*v - 19*v.\nAnswer: 5*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24*((6\/27)\/(-1))\/((-36)\/81).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 - ((1 - -1) + -1). Let k be 4 - 4 - (h - 8). Suppose 0 = 5*y - 3*p - 39, p + 2*p = -3*y + k. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -83, -160, -225, -272, -295?\n\"Answer: i**3 - 84*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rq when two letters picked without replacement from vvinvqqiniovviriivv?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence usk when three letters picked without replacement from {a: 2, s: 2, k: 2, u: 5, g: 1, z: 2}?\nAnswer: 5\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tbbybyb. What is prob of sequence ybbt?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1303504538?\nAnswer: 2, 7, 19, 4900393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:36 AM and 9:01 PM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21573 = -1059*i + 260*i for i.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-7))\/((-1)\/(-7)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*b = -31*b + 102. Find the common denominator of 47\/5 and -1*b\/(-27) + 5\/(-15).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the first derivative of 2*b**3\/3 - 1. Let t(r) = 10*r + 9. Let n(s) = -s - 1. Let d(v) = 18*n(v) + 2*t(v). What is p(d(w))?\nAnswer: 8*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1853 at most as big as 16673\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2\/17)\/l)\/l*l**4*l\/((l*l**(-9))\/l)*l**8 assuming l is positive.\nAnswer: l**(338\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 7*z**2 - 6*z + 4. Let q(r) = -4*r**2 + 3*r - 2. Let l(p) = 64*p - 380. Let a be l(6). Let t be a*(-3)\/(60\/(-55)). Calculate t*q(o) + 6*g(o).\nAnswer: -2*o**2 - 3*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/2 - (-2420)\/803. Let q = h - -287\/365. Which is the nearest to -0.1? (a) q (b) 5 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 28475?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence po when two letters picked without replacement from {p: 1, d: 3, j: 5, o: 4, w: 4, r: 1}.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 t, and 1 r when three letters picked without replacement from vtkhffr?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 127.2 + -54.2. Sort 1, -2, j in decreasing order.\nAnswer: j, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 7*c**2 - 3*c - 3. Let p(i) = -5*i**2 + 2*i + 2. Determine -5*l(z) - 8*p(z).\nAnswer: 5*z**2 - z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -515228 or -515227?\nAnswer: -515227","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 4*m**2 + 5*m + 5. Determine j(-2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(2\/3))**(-10)\/((k**(1\/3)\/k)\/(k*k*k*k\/(k**(1\/3)\/k)))*(k\/k**6*k**(-4\/7))**32 assuming k is positive.\nAnswer: k**(-3772\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 67.19409um in meters?\nAnswer: 0.00006719409","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + q)*(-4*q + 2*q + 0*q) + (-2*q + q + 2*q)*(q - q - q) - 3 + 3 - 2*q**2 + 18*q**2 + 26*q**2 + 39*q**2.\nAnswer: 78*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -106*k**2 - 128*k**2 + 359*k**2 - 121*k**2.\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the first derivative of -a**4\/4 + a**3\/3 + 3*a**2 - 6*a - 95. What is j(3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3385*-1.2\nAnswer: -4062","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.313 - -1.313. Which is the nearest to -0.1? (a) 10 (b) -0.3 (c) p (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -3*w + 3. Let f be k(2). Let t be 15\/9 + (-1)\/f. What is the units digit of t - (0 - (1 - -2))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 153 divided by -4.\nAnswer: -153\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-3) + 3 + (-940)\/60.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*x**3\/4 + 1989*x**2 + 546075*x + 39690000 = 0. Calculate x.\nAnswer: -2352, -150","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -5*b**3 - b**2 - b - 1. Suppose 17 = 3*z - 7. Let r(k) = k**3 - 9*k**2 + 8*k + 7. What is the remainder when r(z) is divided by d(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + 19 - 3 = 0, 12*n = 5*k - 124 for n.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2879868\/119 + (3\/7 - 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10115 and 6545.\nAnswer: 111265","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 101000000100010111110010 (base 2) to base 5\nAnswer: 10142104131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1773 divided by 591\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 3*y - 3*l + 6*l, -5*l = 20. Let p = 77 - y. Is 18 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 3, g: 5, f: 1, k: 1, a: 1}. What is prob of sequence kf?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 5*t + 3*t - 44 = 0, 5*p = -2*t + 131. Suppose -4 + 1 = 3*f, -3*a - 5*f + p = 0. Calculate the highest common divisor of 80 and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-14)*(-192)\/(-96).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the third derivative of d**6\/120 - d**5\/5 + d**4\/2 - 7*d**3\/6 - 4*d**2. Let l be h(11). Suppose l*v + v = 0. Solve -o + v - 3 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a kilometer in millimeters?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 1)*(11 - 2 + 2 - q).\nAnswer: q - 11","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**3 - 12*z**2 + 17*z + 17. Suppose v + 2*m = -31, 0 = v - 3*m + 8 - 2. Is n(v) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*d**3 - 5 + 4 - 14*d**3.\nAnswer: -3*d**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 366*t = 357*t + 9. Calculate the lowest common multiple of (35 + 1\/t)*192\/256 and 99.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (((-3*sqrt(4400) + sqrt(4400) + sqrt(44) + sqrt(44))\/sqrt(4)*-2 + -4)*-2 + -1)*-5.\nAnswer: -34 + 360*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 6708.8 (b) 4 (c) 2\/143 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (6 - 8) - (6 + -5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, s: 7, k: 12}. Give prob of picking 3 k.\nAnswer: 11\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0042624 rounded to two dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z + 26 = 6 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/3 at most -3031.65?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + (2*2*sqrt(220))\/(((sqrt(315) + sqrt(315)*2 + sqrt(315) - sqrt(315)) + sqrt(315) + sqrt(315) - sqrt(315))\/sqrt(7)))*-2)**2.\nAnswer: -16*sqrt(11) + 500\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the first derivative of b**7\/7 + 43*b**4 - 47*b**3\/3 - 223. Find the third derivative of f(h) wrt h.\nAnswer: 120*h**3 + 1032","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 101866770?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 7*d + 5. Give w(-3).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/305368 and 151\/4788?\nAnswer: 2748312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*m + 5*m**2 - m**2 - 2*m**3 + 1 + 6*m in the form f*m + a + x*m**2 + n*m**3 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 20*t - 14. Let v(k) = -7*k + 5. Let d(p) = 2*p + 36. Let o be d(-21). Give o*r(f) - 17*v(f).\nAnswer: -f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10458)\/6391)\/(279\/(-33)).\nAnswer: 6\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m*m**(-9))\/m**(3\/2)*m*m*m*m**(-3\/11)*m**6 assuming m is positive.\nAnswer: m**(5\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*y**5 + 105*y**2 + 7*y - 27.\nAnswer: 60*y**3 + 210","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/5 or 4293?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 39760656 a multiple of 156?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -133, -158, -177, -190?\n\"Answer: 3*a**2 - 34*a - 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -0.2, 15\/8, -1\/23, 0.4, 0.2, -1, 71?\nAnswer: 15\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*j + 47*j - n - 12 = 0, -3*n = -38*j + 40 + 22 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**3 - 11*f**2 - 158*f + 199. What is y(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 167740 is divided by 259.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -109 = 3*b - 740*u + 726*u, 4*b + 114 = 3*u for b.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 175 - 176 + g**3 - 2*g**3 - 5*g as w*g + v*g**2 + n + x*g**3 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -2*y**2 - 2049. Let r(v) = -3*v**2 - 3076. Calculate -8*h(k) + 5*r(k).\nAnswer: k**2 + 1012","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(2\/5))**(-1\/32)\/(n**(-2\/5)\/n*n)**(5\/4))\/(((n\/(n\/(n*n**(-3))))\/(n\/(n**(-3\/8)\/n)))\/(n**3\/n**(-1))) assuming n is positive.\nAnswer: n**(1413\/160)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45418737?\nAnswer: 3, 7, 13, 23767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -131*j - 1639 + 1432 = 1533*j + 9777 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**2\/3 + 32*l\/3.\nAnswer: -2*l*(l - 16)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v**3 + 0*v + 0*v)*(12 + 9 - 1) + 0 + 35*v**3 + 1 + 7*v**2 - 33*v**3.\nAnswer: 62*v**3 + 7*v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4328.803 grams in nanograms?\nAnswer: 4328803000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8.7 - 0.7. Let u = f + -8. Which is the second smallest value? (a) 17 (b) 4 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00061927 rounded to five decimal places?\nAnswer: -0.00062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fmqhfqqtmfqoqhf. What is prob of picking 1 h and 1 m?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4 - -5)\/(1\/(-5)). Let j be (1\/(-10)*i)\/(4\/40). Let m be j\/10*-10 + 20. What is the highest common divisor of m and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3781121\/2008120 + -3807\/8230. Let t = x + 5\/244. Find the common denominator of 41\/24 and t.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 382*v**2. Let y(z) = 1357*z. Determine i(y(f)).\nAnswer: 703433518*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 - 48?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 5*w**3 - 6*w**2 + 2*w - 25. Let t be n(5). Suppose -5*s + t = 325. What is the remainder when s is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14)\/6 - 2\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 27.3 + -27.6. What is the third biggest value in z, 2.6, 3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 72 and -1259?\nAnswer: 1331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -2*v**2 - 1. Let h be u(2). Let z(m) = -15*m + 391. Let k be z(26). Sort h, -4, k, -3.\nAnswer: h, -4, -3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 258*k - 253*k - 81 = -4*v, -22 = 5*v - k for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -11*r**3 + 3*r + 2. Let q be o(-1). Calculate the highest common factor of 80 and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 457, -4, -49, 17 in increasing order.\nAnswer: -49, -4, 17, 457","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.11, 0.1, 3\/1207?\nAnswer: 3\/1207","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ummum. What is prob of picking 3 m and 1 u?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -50, 2, -287 in decreasing order.\nAnswer: 2, -50, -287","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - 27 = -5*o - 7, -4*d - o + 4 = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 5*n - 45, -4*a + 7*a - 168 = -4*n. Find the second derivative of -31 + 85*l + 49 - 18 + a*l**3 wrt l.\nAnswer: 360*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 - 51\/3)*4\/8. Let q(s) = -15*s - 39. Is q(h) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -63*w**3 - 29*w**2 + 12*w + 3. List the prime factors of a(-4).\nAnswer: 13, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = -3*m, -5*z + 5 = 5*m - 30 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 720 and 3163752?\nAnswer: 31637520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 6, -74 in decreasing order.\nAnswer: 6, 5, -74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 9928.25603 rounded to 0 dps?\nAnswer: 9928","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.928 + 0.072. Which is smaller: -16 or z?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3056.\nAnswer: 2, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiiixxxuxujjxuuiiuq. What is prob of sequence uiuj?\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 586, 680, -2\/3, 7, 1?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (3 - 1) + 0 + (-22 - -16)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -56*9\/(-1296) - 2\/9?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than -2\/579?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 4*u + 3*p, 0 = -3*u + 2*p + p + 15. Let b be (-4)\/(-8)*-1*-6. Find the second derivative of 2 + 0*m + 4*m**3 - u + b*m wrt m.\nAnswer: 24*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 6*u**3\/5 - 10656*u**2\/5 + 2130*u = 0.\nAnswer: 0, 1, 1775","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-240435)\/4110*(-1)\/27*24.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the second derivative of 1\/2*b**2 + 0 - 3\/5*b**5 - 1\/6*b**3 + b + 1\/12*b**4. What is z(1)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -0*w. Suppose w = 4*t - 9 - 91. Suppose 0 = -2*y + o + 29, 2*o + 43 = 7*y - 4*y. What is the greatest common factor of t and y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.434 + 0.234. Which is the nearest to -1.2? (a) 0.2 (b) -5 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mcm when three letters picked without replacement from {y: 11, m: 2, c: 2, u: 1}?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*-5*4*(-2*(5*sqrt(27)*2 + sqrt(27)))**2*-1.\nAnswer: -522720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 3*q + 16 = -q, b = 5*q - 16. Let o be (-13)\/(-4)*b - -3. Solve 0 = -2*i + 6*i - o for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**3 + 46*k**2 - 2*k + 110. What is g(46)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 4*j = -792, 3*k - 5*j - 985 - 204 = 0. Suppose 11*h + 9 - 53 = 0. Suppose -2*s + 800 + k = h*q, -3*s = 2*q - 1797. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 5*x**2. Let u(q) = 1. Let i(o) = 4*o - 3. Let c(j) = j + 1. Let p(t) = -3*c(t) + i(t). Let r(a) = -p(a) - 6*u(a). Calculate d(r(f)).\nAnswer: 5*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + 72 - 12 = -5*i, o = 16*i + 165 for i.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18232?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 - 3 = p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*c**2 - 6*c**2 + 0*c**2 + (0*c - c - 2*c)*(1 + 4*c - 1) - c - 2*c**2 + c)*(-3*c + 3*c + 2*c**2).\nAnswer: -50*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 7*((-6)\/9)\/((-98)\/21). Is 2\/1221 >= t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/(n\/((n**(-3)\/n)\/n))*n)\/n)\/n)\/n**(-3\/5)*(n*n**(-5))\/n**3 assuming n is positive.\nAnswer: n**(-62\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*j - 5 + 251 = -36. Solve -j*n - 112 = 22*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 2 = -d. Let s(j) be the second derivative of 0 + 1\/6*j**4 + d*j**2 - j + 0*j**3. Let h(m) = -m**2. Determine h(s(q)).\nAnswer: -4*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3645518 is divided by 607583?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1074624934?\nAnswer: 2, 877, 612671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 55*u**2. Let o(k) = k - 1. Let g(h) = 41*h - 27. Let r(q) = -10*q + 7. Let c(t) = -2*g(t) - 9*r(t). Let w(i) = 2*c(i) - 18*o(i). Calculate w(p(j)).\nAnswer: -110*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Work out 425.4 - 29535.69.\nAnswer: -29110.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the first derivative of 427*j**6 - 123*j**2 + 513. What is the second derivative of t(z) wrt z?\nAnswer: 51240*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nawanahhnh. What is prob of picking 1 a and 2 h?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (7 - (2 - -1))*(-13)\/26*4. Let w(o) = o**3 - 4 + 4*o**2 + 4*o**2 + 0*o**3. Determine w(m).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (12*k**3 + 7*k**3 - 13*k**3 + (-3*k**3 + k**3 + k**3)*(2 + 3 - 7))*(45 - 83 + 213 + 86) to the form l + x*k**3 + h*k**2 + t*k and give x.\nAnswer: 2088","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 19*j**2 - j + 7. Is m(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 220467\/2, 30 in ascending order.\nAnswer: 1, 30, 220467\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0968143 rounded to two decimal places?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4909 + -7319. Is 3 + 81\/(-36) - g\/8 a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o\/(o**(-2\/33)*o))*o)**(1\/9)\/(o**(2\/39)*(o*(((o\/((o\/o**(-2\/73))\/o))\/o)\/o)\/o*o)\/o))**10 assuming o is positive.\nAnswer: o**(3358570\/281853)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 4*s + 36 = 0, s - 32 = -4*b - 3*s. Let x = -4 + 6. Suppose -b*a + 16 = -x*a. What is the least common multiple of a and 12?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -y**2 + y**2 + 12*y**3 + 8*y**3.\nAnswer: 20*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 10 - 2 = 0. Let p be j\/3 + 35\/15. Let y(t) = t**3 - 3*t**2 + 2*t - 2. What is the remainder when 11 is divided by y(p)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dojldjjjplildlllj. Give prob of sequence ddp.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38504462?\nAnswer: 2, 59, 326309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 121*k + o = 125*k - 148, -k + 67 = -4*o. Solve w = 4*p + 4 - 24, -7*p + 4*w + k = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n**2\/7 + 628844*n = 0. Calculate n.\nAnswer: 0, 2200954","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.176, -0.2, -3\/2?\nAnswer: -0.176","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 4 (b) 8828 (c) 0.05 (d) 0.3 (e) -4 (f) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -14*n - 15. Let p(g) = -108*g - 115. Let z(f) = 6*p(f) - 46*r(f). Let a(o) = 140*o**2 + 2. Determine a(z(h)).\nAnswer: 2240*h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5731 - 154736\/27. Let v(o) be the second derivative of n*o**4 - 1\/135*o**6 + 0*o**3 - 1\/9*o**2 - 26*o + 0*o**5 + 0. Factor v(b).\nAnswer: -2*(b - 1)**2*(b + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4.413 - 17.80454.\nAnswer: -22.21754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2135078 and 1164588?\nAnswer: 12810468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 992771 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*z - z + 10*z - 120. Solve z*t = -4*x - 33, 54*x - 21 = 3*t + 57*x for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 390 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*u + 24 = -4*u. Suppose 3*o - 2*o + 3 = 0, 4*v - 6 = 2*o. Solve 2*n + n - u = v for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 12 + 3 - 1 - 1 + 4*r**3 - 5*r**2. Let b be h(4). Let u = 336 - b. Round u to the nearest 10.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -12.6 and -17642526?\nAnswer: 17642513.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 636.8285 decades?\nAnswer: 76419.42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7645 and 318032.\nAnswer: 1529","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s + 5*h + 17, 0 = -2*h - 3*h - 25. Let a be (-1)\/s + 9\/(-12). Let m be ((-2 - a) + -2)\/(-1). Solve m*r = -0*r - 6 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1352086.88 rounded to the nearest 10000?\nAnswer: -1350000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 665806 or 665669?\nAnswer: 665669","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 51389 (base 13) to base 12\nAnswer: 70332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 2*d + 7. Let a(v) = -v**2 - 8*v - 5. Let f be a(d). Factor -2\/3*y**3 + 0 - 2\/3*y - 4\/3*y**f.\nAnswer: -2*y*(y + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20389704, 20389703, 20389702, 20389701?\nAnswer: 20389700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-10)\/2)\/((-30)\/24))\/((-100)\/10)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12022 divided by -41.\nAnswer: 12022\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -25 - -31. Let b = x - -11. What are the prime factors of b?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-15) - (-100996)\/105. Let d = -1591 + s. Let l = d - -1338. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*t - 5*j - 8, -4*j = -21*t + 23*t + 4 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -523462 > -523463?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 30076 and 56356?\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add together -10175 and 1.\nAnswer: -10174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 279919, 277085, 274251, 271417, 268583, 265749?\n\"Answer: -2834*s + 282753","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3*(-3)\/18*4. Solve -g*b + 3*b = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/4794 and 5*7\/(-105) - (-11)\/(-561).\nAnswer: 4794","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-48)\/10*(-1 - 111\/9). Let r = -64 + q. Solve 2*t - 3*t + 5 = r for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/((-33)\/(-16) - 2). Let s = -12 + c. Suppose 0 = s*m - 2*k - 202, m + 2*m - 134 = -2*k. Calculate the greatest common factor of 12 and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of h**2*s**3 + h**2 - 26*h*s**3 + 338 wrt s?\nAnswer: 3*h**2*s**2 - 78*h*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (228\/(-90))\/19*3\/1?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*n = 21*n + 4 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 2948114?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 850772 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -157.382 - -143.56. Let o = i + -2.848. Let b = -15.2 - o. What is b rounded to one dp?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2043046194?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*j**2 - 45396*j + 28659752.\nAnswer: 4*(j - 10678)*(j - 671)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -1301141\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4979080 to the nearest integer?\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-16)\/(-144))\/((-2)\/6). Which is the closest to -0.1? (a) 4 (b) g (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 18*j - 2. Let c(d) = d**2 - 11010. Determine c(t(l)).\nAnswer: 324*l**2 - 72*l - 11006","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/9 and -47\/32850750.\nAnswer: 98552250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-54431)\/(-12324)*2\/159.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:00 AM and 8:51 AM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -2115, -2043, -1915, -1737, -1515?\n\"Answer: -f**3 + 34*f**2 - 23*f - 2125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m + 51. Let w be k(6). Let c = w + -58. What is the remainder when 21 + -11 - (c\/1 + 5) is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -5*w + 6. What is x(-6)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 91379\/3 - 30461. What is the nearest to 2 in 12, 3\/5, l?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 34908, 139774, 314550, 559236, 873832, 1258338, 1712754?\n\"Answer: 34955*l**2 + l - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 37*i - 55. Let j be l(23). Suppose 636 = 4*k + 6*m - 5*m, -5*k = m - j. Is 28 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 17*l**5 + 26*l**3 - 3008*l**2 wrt l?\nAnswer: 1020*l**2 + 156","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 35*b**2 + 5*b + b - 6*b. Let c(g) = g**2. What is d(c(q))?\nAnswer: 35*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is (2\/(-12)*2)\/(9\/(-184221)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14.9 - -15. Which is the closest to 2\/9? (a) 0 (b) -3 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand r**2 + 8*r**2 - 4*r**2 + (0 + 1 - 2)*(-2*r**2 + r**2 - r**2) - 4 + r**2 + 4 + (6 - 1 - 3)*(-2*r**2 + 5*r - 5*r).\nAnswer: 4*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w - 5*w + 80. Suppose 3*g + w = -29. Let z = g + 39. Does 5 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes before 3:18 PM?\nAnswer: 8:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 70 + -12 + 7 + 9\/1 and (17\/34)\/(2\/24).\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/8, -897, -1, -5, -0.2, -2 in decreasing order.\nAnswer: 1\/8, -0.2, -1, -2, -5, -897","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 166560879 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 8*x + 14. Let q(o) = 7*o + 20. Let t(d) = 4*c(d) - 3*q(d). Let z = 6 - 11. Let k(g) = -17*g + 6. Determine z*k(s) - 8*t(s).\nAnswer: -3*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(24)\/(-1*sqrt(1200) + sqrt(12)).\nAnswer: -sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -206, -207, -208, -209?\n\"Answer: -q - 205","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - ((-32 - -32) + 1 + 6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4342358 or -4342360?\nAnswer: -4342358","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**3\/12 + 67*v**2\/6 - 440*v + 4200.\nAnswer: -(v - 60)**2*(v - 14)\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -1. Let d(t) = 2*t. Let m(v) = 19*v. Let c(b) = 18*d(b) - 2*m(b). Give -c(y) + 2*n(y).\nAnswer: 2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -3*x - 6. Let k be m(3). Let u = k + -17. Let v(n) = 7*n - 86. Let d be v(8). Which is bigger: u or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 4*n + 208, 0*n + 4*n = 5*c - 208. Suppose 3*a + 150 = 3*z, 2*z + 334 = 5*a + 587. Are n and a nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -6*l + 5. Let b(v) = 6*v - 6. Suppose -29*m = -30*m - 5. What is m*b(w) - 6*q(w)?\nAnswer: 6*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1, -2, 3, -84.\nAnswer: -84, -2, 0, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 869 = 17*v + 53. What is the remainder when v is divided by 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 13*x**2 - 43*x**2 + 14*x**2 + 18*x**2 - 2*x. Let z(a) = a - 1. Let d be z(3). Determine y(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/4)\/(-1*(-1 - 0)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1089858 and 312522?\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1147?\nAnswer: 31, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*u - 10 + 26 = 0. Suppose 0 = -4*k - 8, 2*v + 4*k + u = -2. Let t be 6\/(0 - v)*1 + -10. Which is the second biggest value? (a) t (b) -3\/4 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -0.01, 1\/2, -5, 5, 3, -0.06.\nAnswer: -5, -0.06, -0.01, 0, 1\/2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4697618921 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = 2*z + 260, 4*z = 3*v + 109 + 73. What is the hundreds digit of (v\/4)\/(-1)*(-496)\/(-24)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-453)\/18 + (-1)\/(-6). Let v = -5 - h. Suppose -5 = q - 2*x, -v = -5*q + 3*x - 2*x. Solve k = 3*k, -q = -p + k for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -21*f + 2*f - 65 - 14 - 121 - 11. What is t(-11)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -285*g = -268*g - 128095. List the prime factors of g.\nAnswer: 5, 11, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*q - 9984 = -41*q. Calculate the highest common factor of 24 and q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -318 - -315. Let n(j) = -5*j**3 - 4*j**2 - 8*j - 4. Let m(b) = 8*b**3 + 9*b**2 + 15*b + 8. Let s(d) = u*m(d) - 5*n(d). Calculate s(8).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9? (a) 3 (b) 5 (c) -5 (d) -309\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the second derivative of b**3\/6 + b**2\/2 + 32*b - 18. Let o be 2\/5 - (-476)\/10. Suppose -j - 2*c + 15 = 0, -j - 5*c + o = 18. What is p(j)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 7350 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 46 - l**2 - 3*l + 10*l + 3*l + l - 12*l to n + o*l**2 + y*l and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (83 - 19)\/((-4)\/(-44)). What is v rounded to the nearest one hundred?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -74 (b) 12 (c) -5 (d) 7 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h - 2*h + 50255. Let u = 49051 - h. Round u to the nearest ten thousand.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*y**4\/5 + 16*y**3\/5 + 36*y**2\/5 + 32*y\/5 + 2 = 0. Calculate y.\nAnswer: -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, i: 1, r: 3}. Give prob of picking 1 i and 1 r.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -23 + 6. Let k(i) = -7*i + 4. Suppose -10 - 5 = 5*h. Let w(r) = -23*r + 8. Let x(l) = -24*l + 7. Let j(y) = h*x(y) + 4*w(y). What is z*k(d) + 6*j(d)?\nAnswer: -d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -64*b**2 - 4*b - 7. Calculate v(0).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -3*-6*((sqrt(1539) - (-1 + sqrt(1539)))*4 - sqrt(1539) - (-1 + sqrt(1539) + sqrt(1539))*-6)**2.\nAnswer: -7128*sqrt(19) + 3352015","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - w**4 - 2 + 1)*(-4 - 3 - 9).\nAnswer: 16*w**4 + 32","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 10696 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 359010 and 63?\nAnswer: 2513070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 23096 by 4.\nAnswer: 5774","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -2*f**2 + 84*f - 677. Give r(10).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 520732983?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -4*k - 39, 4*k - 3*m + 10 - 1 = 0. Let n(x) = 1 + 1 - 3 + 6 - 19*x. Is n(k) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -880, -0.5, -2, -81 in increasing order.\nAnswer: -880, -81, -2, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 38.960775 minutes in weeks?\nAnswer: 0.00386515625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -11 + b3a0?\nAnswer: b38d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1111111011101101001 + 100?\nAnswer: 1111111011101101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -216 divided by 9\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -94112*n**5 - 2*n**4 + 611301*n wrt n?\nAnswer: -1882240*n**3 - 24*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 3*y - 6. Let c(j) = -6*j - 15. Let p(s) = 9*s + 27. Let g(q) = 5*c(q) + 3*p(q). What is -5*g(h) - 4*n(h)?\nAnswer: 3*h - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -53782.851 to the nearest one thousand.\nAnswer: -54000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -3*z - 3*a + 31, 0 = -5*a + 25. Let h(i) = -i - 2. Let b(f) = f**2 - 6*f - 2. Let p be b(6). Let o be h(p). Solve o = -7*x + z*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-eight fifths of a millennium in centuries?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11.6 - -27. Let d = -39 + i. What is the closest to 0.2 in 3, 2, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 98\/6 - (-140)\/224*(-80)\/150.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, s: 3}. Give prob of picking 2 i.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put together 225 and -0.09.\nAnswer: 224.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z**5\/11 - 4*z**4 - 106*z**3\/11 + 228*z**2\/11 + 288*z\/11 = 0. Calculate z.\nAnswer: -3, -1, 0, 2, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00157428 rounded to three decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, -73, 4\/7, 281, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -882*d**2 - 870*d**2 - 774*d**2 + 2514*d**2.\nAnswer: -12*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 508*j**4 - 395*j**3*x**3 - j**2*x + 305492*x**3 wrt j?\nAnswer: 12192*j - 2370*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4399 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 51, -10, -119, -270, -457, -674, -915, -1174?\n\"Answer: b**3 - 30*b**2 + 22*b + 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express k**4 - 21*k - 5 + 10*k**2 + 20*k - 9*k**2 as s*k + p*k**3 + n*k**2 + d + x*k**4 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**2 + 32*i + 37. Let z be p(33). Let q be 4\/(-3)*-3 + 1. Suppose -2 = q*s - 3*u + 42, 5*s + 3*u = -56. Sort 1, z, -2, s.\nAnswer: s, -2, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -4 + 16. Sort 2, 3, t, 0 in decreasing order.\nAnswer: 3, 2, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 51906 = -2*u, -34594 = 2*z - 6*u + 8*u. Round z to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.3636 and 0.2.\nAnswer: 0.5636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 21 or 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 177 - -28. Let a = y - 136. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-50)\/72 + 87\/((-42282)\/(-216))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -3*w**3 - 2*w**2 - 4*w - 2. What is the units digit of c(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 0)\/((4\/10)\/(46 + 8096\/(-115)))\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 243447693?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -827 + 1339. Suppose -2*l - u = -6*l. Calculate the greatest common factor of l and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + 9166943300?\nAnswer: 9166943309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -193 + 272. What is the tens digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes after 3:55 PM?\nAnswer: 2:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a = -q - q + 30, 0 = -3*q + 2*q - 43*a + 44*a - 6 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 42 = -5*v - 38, 5*a - 61 = 3*v. Let g = 844 - 3458. Is g\/(-14) - v\/42 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 - 5. Let y(j) = 2*j**2 + 7*j + 5. Let s be y(-4). Let k be (-4)\/(-18) - (-196)\/s. What is the highest common factor of i and k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 2*s - 9. Let u be f(7). Suppose u*r - v - 20 = -6*v, 4 = r - 4*v. Calculate the highest common divisor of 8 and r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/15, 3\/4, 3\/13 in descending order.\nAnswer: 3\/4, 3\/13, 2\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13387?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/12128 and -43\/20.\nAnswer: 60640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7.2 + -1.8. Let v = h - -4. Let r = 267 - 271. Which is the smallest value? (a) v (b) r (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7051*j**3 + 2*j**2 - 2*j + 23981 wrt j.\nAnswer: -21153*j**2 + 4*j - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 10*k**2. Let z(g) = g - 12710. What is z(s(d))?\nAnswer: 10*d**2 - 12710","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (-3 + (15 - 23) - -15) + -12 + -103?\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 623.6846l in millilitres?\nAnswer: 623684.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6968*j**2*z - 554*j + z - 1 wrt j?\nAnswer: -13936*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -2*u**3 + 1950*u**2 - 6142*u + 301324. What is k(972)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*v + 4*w + 6, 2*w = 2*v + 9 - 11 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15609 + 15609.2. Which is the closest to -1.1? (a) -1\/5 (b) 0 (c) -2\/9 (d) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**3 + 15*a**2 - 11*a. Let d(w) = 2*w**3 + 33*w**2 - 24*w + 1. Let j(l) = 4*d(l) - 9*v(l). What is j(-3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 229\/8833, 0.2, -0.4?\nAnswer: 229\/8833","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**3 - 20*u**2 + 10*u + 14. Let h be f(-21). Suppose -4*n + 7 = -h. Is n a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1462 is divided by 227.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 28\/34)*720\/1080.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = -j - 3*m, -5*m = -3*j - 2*m + 21 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 599716?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vv when two letters picked without replacement from tememetvvttettevt?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**2 - 10*p - 6. Let v be s(-9). List the prime factors of 42\/(-7)*(-16)\/v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -t + 2*t - t - 980602*t**3.\nAnswer: -980602*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 3 - 5)*(3*p - 7*p + 2*p + 36).\nAnswer: -2*p + 36","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*x**4 + 2 - 2 + ((-x + 2*x + 0*x)*(3 - 4 + 2) - 61*x - 54*x + 20*x)*(1 + 1 + 0)*(-3*x**3 + x**3 + 9*x**3).\nAnswer: -1314*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -4*a**3 - a**2 + 13*a. Let t(q) = -15*q**3 - 4*q**2 + 50*q. Give 6*t(k) - 22*u(k).\nAnswer: -2*k**3 - 2*k**2 + 14*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -375265 + 1743652 = 27*i. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -608*n + 10889*n**3 - 7372*n - 5443*n**3 - 2015*n**2 - 5451*n**3 = 0. What is n?\nAnswer: -399, -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**3 + 5*q**2 + 7*q + 5. Let s be i(-2). Which is the nearest to 1? (a) s (b) -3 (c) 3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 5*f**3 + 1. Let g be t(1). What is the second derivative of 4*r + 4*r + 9*r**4 - g*r wrt r?\nAnswer: 108*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2260 (base 12) to base 13\nAnswer: -1977","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvvavviuvvv. What is prob of sequence uv?\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 560 divided by -77370\nAnswer: -56\/7737","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 567926, 162, -2, 0, -1.\nAnswer: -2, -1, 0, 2, 162, 567926","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**2 + 9*y + 10. Let g be d(-7). Let w(z) = -z**2 - 17*z - 18. Let j be w(-17). Put g, 3, j in descending order.\nAnswer: 3, g, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12978139 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 14*y**2 + y. Let s(u) = 1978*u + 3. Give s(p(r)).\nAnswer: 27692*r**2 + 1978*r + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3085303 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -2*m, 2*c - 20 = -m - 16 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 20264 = -5*d + 8380, -22928 = -4*d + 4*z. What is the thousands digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -7*d**3 + 730*d**2 - 737*d + 8. Determine v(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5890747 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -140, -142, -146, -152, -160, -170?\n\"Answer: -i**2 + i - 140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -g**4*l**2 + 2741*g**4 + 515*g**2 - 2*g*l**2 - 2*g*l - 4 wrt g?\nAnswer: -24*g*l**2 + 65784*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4368*z - 9421*z + 1036*z.\nAnswer: -12753*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*(2970\/484 + 15 - 21)?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 19592110 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-4)\/(-30))\/(-2 + (-49)\/(-35)). Let y = 55\/104 + -2\/13. Let w = -16218\/7 + 2317. Sort y, f, 0.4, w in ascending order.\nAnswer: f, w, y, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-9)\/(-6))\/(6\/8). Suppose 6*l - s*l = 72. What is the remainder when 52 is divided by l?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 3302.\nAnswer: -2\/1651","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 297 and 132?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 4088834*z**2. Let j(g) = 10*g. What is f(j(b))?\nAnswer: 408883400*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -d (base 16) to base 6\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7208*t**3*w + 9870*t**3 - t*w**2 wrt w.\nAnswer: 7208*t**3 - 2*t*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence od when two letters picked without replacement from {b: 5, y: 1, d: 2, o: 1}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 46 and 3306457?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*l**3 + 2396*l**2 + 57435 wrt l.\nAnswer: 9*l**2 + 4792*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1068, -8492, -28620, -67800, -132380, -228708, -363132, -542000?\n\"Answer: -1058*s**3 - 4*s**2 - 6*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 179*t - 318. Let z(w) = -447*w + 792. Let l be (-66)\/(-54)*-3 + 4\/(-3). Let u(s) = l*z(s) - 12*q(s). Find the first derivative of u(a) wrt a.\nAnswer: 87","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3541 + 3507. Let h(v) = -153*v**2. Let s(a) = -14*a**2. Determine u*s(y) + 3*h(y).\nAnswer: 17*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -13 (b) 4 (c) -4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a litre in millilitres?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes after 2:18 PM?\nAnswer: 1:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4715*y = -4707*y - 458080. What is y rounded to the nearest ten thousand?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 87 and 754?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/22 (b) -15 (c) 9 (d) 1.13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 48 and 1936.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(5\/7))\/o*o**(-2\/7))**47 assuming o is positive.\nAnswer: o**(141\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 12494284 divided by -12494284\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*2*(-2*sqrt(325) + 3 - (sqrt(325) + (sqrt(325) - ((1 + sqrt(325) + sqrt(325) - sqrt(325)) + 1)) - sqrt(325)))**2.\nAnswer: -400*sqrt(13) + 5300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 190 is divided by 54?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*l**4 + 135*l**3 - 768*l**2 wrt l.\nAnswer: 144*l + 810","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a factor of 1315745?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*k + 10*k + 4*k + 2*k in the form a + c*k and give c.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + j**3 + 0 + (1 + 3*j - 1)*(4*j + j - 3*j + (0*j + 2*j - 4*j)*(2 + 3 - 1))*(3 - 1 - 1)*(0*j - 3*j + 5*j).\nAnswer: -35*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13 + 18. Let j be 0 + 1 + (2 - 1). Suppose 4*p + 2*h - 262 = -0*p, d*p - 327 = -j*h. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/(-15) - -2)\/(6125\/21000).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(4\/7))**(-8\/3)\/(d**(-6\/11)*d)**(2\/59) assuming d is positive.\nAnswer: d**(-20978\/13629)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -11622 (base 7) in base 10?\nAnswer: -3054","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13069 or 13071?\nAnswer: 13069","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:32 AM and 5:14 AM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4527 + -4513. Solve g*u + 24 + 32 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 74 and 2410217.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(-7)\/14*(-28)\/((-64)\/(-16)*-11).\nAnswer: 7\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minus -3160.151333275?\nAnswer: 3220.151333275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, -107\/3, -6?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3807)\/4230)\/((-3)\/(-1))*(-4)\/51?\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 538412 - 3787804\/7. Let a = -2698 - u. Calculate the common denominator of -3\/5 and a.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 209\/4830 and -161\/240.\nAnswer: 38640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 181 + -182.764. What is n rounded to 1 dp?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -64870 divided by 5?\nAnswer: -12974","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -2, 4, -4 in descending order.\nAnswer: 4, 1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.04*-46402046\nAnswer: -1856081.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*j + 8 = 12*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -11093.6798 to the nearest one hundred.\nAnswer: -11100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (2\/5*-58)\/(4\/(-20)) is divided by 24?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 105 and 84?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3271738 - 3*j - 27*j + 3271738.\nAnswer: -30*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11 + -11.4. Let p = -3 + 11. Let a = 13 - p. What is the biggest value in c, a, -0.3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 3*j**2 + 19*j + 4. Let m(x) = -4*x**2 - 28*x - 6. Let s(y) = 7*d(y) + 5*m(y). Give s(6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 2*h - 1. Let d(m) = -19*m + 11. Let f(t) = 28*t - 17. Let w(j) = 8*d(j) + 5*f(j). Let c(p) = -w(p) - z(p). Calculate c(3).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the third derivative of -a**6\/120 - a**4\/24 + a**3\/6 - a**2. Let r(i) = -2*i**3 - i**2 - 4*i + 4. Let x(v) = -4*f(v) + r(v). Give x(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28395?\nAnswer: 3, 5, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 18164\/2799 - 14\/311. Find the common denominator of v and 33\/10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -394*z - 2754 - 1580 = 0 for z.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -437 + 415 + (85 - (0 + 6)).\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the third derivative of 9*s**5\/20 + 13*s**4\/24 + 23*s**2. Find the second derivative of o(m) wrt m.\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 128 + -118. Let l be -2*25\/j - -12. Suppose -311*q = -310*q + l. Let r(d) = -d**3 - 8*d**2 - 7*d - 6. What is r(q)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(1008))\/(2*sqrt(45)\/sqrt(5)) + (-4 + (sqrt(343) - sqrt(7)) - (1 + sqrt(252))).\nAnswer: -10*sqrt(7) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (18\/(-15))\/(12\/(-40)). Let i(a) = 22*a**2 - 2*a + 2. Is i(w) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:33 AM and 11:51 AM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -282*h**3 + 30*h**2 + 138*h - 168. Give s(1).\nAnswer: -282","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, 235, 3, -50, -4 in increasing order.\nAnswer: -50, -4, 3, 18, 235","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -4497982 plus -0.5?\nAnswer: -4497982.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -4*k - 40. Calculate m(-19).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 496 and 1519.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 0*f + 7*f**2 + 9 - 7*f - 21*f**2. Let s(h) = -5*h**2 - 2*h + 3. Let n(r) = -7*s(r) + 2*w(r). Differentiate n(z) wrt z.\nAnswer: 14*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 49768*s + 49763. Calculate r(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(102)\/(3*sqrt(6)) + sqrt(85)\/sqrt(20) - (-1*(5 + -4 + sqrt(833) - sqrt(833)))**2.\nAnswer: -1 + 5*sqrt(17)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1288*a**3 - 133*a**3 + 0*a + 0*a.\nAnswer: 1155*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1266 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1331.9 - 1332. What is the closest to c in -1, 7, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/23? (a) -7 (b) 0.01 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9415, 9439, 9463?\nAnswer: 9487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a kilometer in meters?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((2*sqrt(2736) + 0 - sqrt(2736)) + sqrt(2736))**2.\nAnswer: 10948","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 + k**2 + (2 + 2*k - 2)*(-k + 2*k + 0*k) - 16*k**2 - 69 + 20 + 11*k**2.\nAnswer: -2*k**2 - 49","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -89.48111 rounded to 1 dp?\nAnswer: -89.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*h + 6639 - 3*h + 7*h**4 - 9*h - 6598 to the form r*h**3 + y*h**2 + s*h**4 + c + k*h and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3447 + 1703 + 1745 + 4*r**2 + 25*r.\nAnswer: 4*r**2 + 25*r + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 4*a = -64, -60*t + 3*a + 108 = -63*t. Let d be t\/(-10 - -5) - 2. What is the greatest common divisor of d and 54?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3660 + 3673. Let s = -37 - -82. What is the remainder when s is divided by i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 2*s + 0 = 2, 3*y - 5*s + 14 = 0. Suppose -y*b - 6*b + 296 = 0. What is the remainder when (-10)\/(-20) - b\/(-2) is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes after 9:46 AM?\nAnswer: 12:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 5090693 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -x**5 + 6*x**5 - 3*x**5 + (13*x**4 + 77 - 77)*(7*x - 3 + 0*x - 5*x).\nAnswer: 28*x**5 - 39*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -211, -840, -1889, -3358, -5247?\n\"Answer: -210*o**2 + o - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -422 - -40?\nAnswer: -332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + -2 - (-36 + 37).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 2*h - 15. Let z be w(10). Factor 2*g**3 + 0*g - 2*g**4 - 2*g - 2*g**4 - g**2 + z*g**4.\nAnswer: g*(g - 1)*(g + 1)*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + 265 = 4*k, 8598905 - 8598553 = 4*k + 4*n for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z + 5*z + 51 = 0. Let v = z + -48. Suppose 3*h - 2*o = -4*o + 97, 168 = 5*h - v*o. Is 33 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -89663965 divided by -17932793\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*z**2 + 8*z**2 + z**2 - 2*z**2.\nAnswer: 7*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 0*k + 80 - 65 = -4*q, -4*k + 65 = -17*q for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -7*s + 176. Let z(u) = 11*u**2 + u - 1. Let y be z(1). Calculate the highest common divisor of y and s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**3 + 4*n**2 + n + 5. Let q(w) = w**2 + 23*w - 54. Suppose -5*k = -g + 10 + 110, 5 = -g. Let a be q(k). What is h(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 634?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 121322584 divided by 4.\nAnswer: 30330646","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 961805?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7\/11 + 3\/22. What is the third biggest value in w, 5, 0.5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2193948 is divided by 1352?\nAnswer: 1004","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((6 - 3 - 1)*(0 + 2 + 0) + 3 + 40 - 6)*(0*v - 2*v + 4*v)*(-55 + 78 - 48).\nAnswer: -2050*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3\/301 + -2125\/1806. Let v be (-4)\/10*(3 - 1). Which is the smallest value? (a) -4 (b) m (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0, 92, 3 in increasing order.\nAnswer: -4, 0, 3, 92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 5*a + 61. Sort -3, 3, -2, a in ascending order.\nAnswer: a, -3, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 439*p + 392 - 392 to r*p + f and give r.\nAnswer: 439","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 444970215?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 36\/65 and 55\/4206406?\nAnswer: 273416390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4078 - 8281 = 438*y + 3243 for y.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 424 is divided by (-2467)\/(-17) - 750\/(-300)*(-4)\/85.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the first derivative of 25*n**2\/2 + 168*n - 3687. Give l(-7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*v + 0*v + v - v + v + 2*v + (2*v + 3*v - 4*v)*(0 + 1 + 0))*(5*v - v + 3*v) in the form t + f*v + z*v**2 and give z.\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9 and 4653.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 12*g*l**2 - 1382*g wrt l.\nAnswer: 24*g*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 127412*w**3 + 87994*w**2 wrt w?\nAnswer: 764472","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u - 17. Give x(-11).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g - 25 = 2*g. Suppose -24 = -3*s + 3*f, -f = -2*f - g. Solve 4*m - 3*n - 32 = 0, -5*m + 4*n + 26 = -s*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 356031?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*o**2 - 169 + 85 + 95.\nAnswer: -6*o**2 + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5063127?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -216 (b) -2 (c) -0.12 (d) -1\/3 (e) -3\/5 (f) -1\/5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-11)\/t)\/t*t**(-9)\/t*t**(-1\/5)*t\/(t\/t**(-2\/5))*t)**35 assuming t is positive.\nAnswer: t**(-791)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -5, 0.1, -7, 13, -256?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1223 + 2717. What is the tens digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -64828867.4379813838 + -5192.5620189662. Let p = -64834062 - y. Let v = p - -2. What is v rounded to 7 dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2\/12623 - 744739\/113607. Let h = 9703\/216 + 209\/216. Let g = -2432\/63 + h. Calculate the common denominator of c and g.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 + 104. Let o = 56 - i. Let s = 59 + o. What are the prime factors of s?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the second derivative of 1\/2*l**2 + 0 + 3*l - 1\/6*l**3. Let z(d) = 4*d - 5. Let y(t) = -10*k(t) - 2*z(t). Let a(h) = -4*h. Give y(a(x)).\nAnswer: -8*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1494 by -6.\nAnswer: 249","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -229*u - 175*u + 180*u - 411*u in the form h + s*u and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -3*f**3 - 613*f**2 - 30590*f + 63654. Let i(j) = j**2 - j. Let b(n) = -i(n) - z(n). Factor b(a).\nAnswer: 3*(a - 2)*(a + 103)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - k + 2)*(140 + 191 - 68).\nAnswer: -263*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59 = 19*c - 2 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from idkdmkeoi. Give prob of sequence mi.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*a**3*j - a**2*j - 20*a**2 - 2*a*j + a - 23*j wrt a.\nAnswer: -12*a*j - 2*j - 40","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -651 - -725. What is the remainder when 664 is divided by x?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*40\/(-25)*(910\/28 - 35)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 24, 4\/785, -548?\nAnswer: 4\/785","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 333321?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - (-15 + 18) - 19\/5.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:31 AM and 8:27 AM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*f = -34*f - 76817. What is the hundreds digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a millennium in years?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the third derivative of -f**6\/30 + f**4\/12 + 7*f**2. Find the second derivative of g(s) wrt s.\nAnswer: -24*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -508846988?\nAnswer: -508846985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0*(6\/(-16))\/((-9)\/12). Let b(j) be the second derivative of 1\/30*j**5 + 0 + 0*j**2 + g*j**3 - 1\/18*j**4 - 2*j. Let b(z) = 0. What is z?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.164 - 0.014. Let w = -131 - -117.85. Let d = w + f. Which is smaller: -1 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.4 + 0.1. Let q be 6\/(-33) + 11688\/(-330). Let x = 36 + q. What is the closest to -0.1 in x, -2, k?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 27, -4, 2 in descending order.\nAnswer: 27, 4, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 10663 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 54606, 109257, 163908, 218559, 273210, 327861?\nAnswer: 382512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 9 = -g + 2*g, 2*g = n + 3. Suppose -j = b + 3*j + 5, 0 = -g*b - j + 10. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -466 - -470. Does 4 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -266 divided by 1?\nAnswer: -266","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 70175493 to the nearest integer?\nAnswer: 8377","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 421082 and 22?\nAnswer: 4631902","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 232105443.\nAnswer: 3, 23, 43, 78229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -19366 divided by 23\nAnswer: -842","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-18)\/(-7))\/((-22)\/(-14)). Let f = -76\/33 + u. Sort -0.4, f, 0.4 in decreasing order.\nAnswer: 0.4, -0.4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 373*m**3 + 102077 - 102077.\nAnswer: 373*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 6*j - 4*j = 19152, 5*z - 19148 = 2*j. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times 33.6?\nAnswer: -10.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-12)\/18)\/((-2)\/234). Let w(y) = -y**2 - 31*y - 25. Let t be w(-20). What is the highest common divisor of t and m?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 - -20) + (5 - 39 - -50).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 273 divide 9414842?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -3*s**3 - 249*s**2 - 9*s - 788. What is h(-83)?\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y. Let t(b) be the first derivative of 0*b + 1 + 0*b**2 + 2\/3*b**3. What is t(f(i))?\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the second derivative of p**4\/12 + 3*p**3\/2 - p**2\/2 - 8*p. Let y be l(-9). Let i = -1 + 1.1. Which is smaller: y or i?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.0188, 8, 0.08, -0.4?\nAnswer: -0.0188","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -27308 (base 14) to base 12\nAnswer: -47b10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 + 45?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 17\/8 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*c**3 - c**3 - c**3 + (-2*c**2 - c**2 - 2*c**2)*(2*c + c - 2*c) + c + 2*c**3 - c.\nAnswer: -2*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 37 + -14.3. Let l = 23 - v. Round l to one decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(82*(-4)\/56 - -6).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 47*u**3 + u**2 + u - 1. Let w be t(1). Let m(p) = -32*p - 160. Let z be m(-6). What is the highest common divisor of z and w?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -5162*o**2. Let r(y) = 29*y. Give r(u(x)).\nAnswer: -149698*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 671, 3456, 10573, 24188, 46467, 79576, 125681, 186948?\nAnswer: 265543","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -499, -529, -573, -637, -727, -849, -1009, -1213?\nAnswer: -1467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -103\/3 + 34. What is the nearest to 1 in z, 0.2, -1\/4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.003131552598 to seven decimal places.\nAnswer: 0.0031316","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nphthtoc. Give prob of sequence thp.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -529*y**4 - 6 + 528*y**4 - y**2 + 2 - 7*y to w + j*y + f*y**3 + b*y**4 + n*y**2 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -2*v. Let h(b) = 2*b + 313863740. Calculate t(h(j)).\nAnswer: -4*j - 627727480","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 477317.862 to the nearest one hundred.\nAnswer: 477300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fff. Give prob of picking 2 f.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -13 + 3*r**2 - 2*r - 2*r**2 - 2427*r**4 + r**3 + 2436*r**4 in the form q*r**4 + k*r**2 + y + p*r + n*r**3 and give q.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**5\/7 - 1640836*m**4\/7 + 168273884920*m**3\/7 - 504811809784*m**2\/7 + 504808528132*m\/7 - 168268962436\/7.\nAnswer: 4*(m - 205103)**2*(m - 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 15461747 to the power of 1\/2, to the nearest integer?\nAnswer: 3932","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.5, -0.18, 4, -0.07, -2\/7?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/11? (a) -3\/5 (b) 1\/6 (c) 2\/5 (d) 0.07 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 28*v**2 - 24*v - 4 = 0?\nAnswer: -1\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the first derivative of -f**6\/2 - 9*f**5\/5 - 3*f**4\/2 + 2*f**3 + 9*f**2\/2 + 3*f - 15. Factor t(a).\nAnswer: -3*(a - 1)*(a + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 104559 and 105?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.21 in -3, 2, 5, -0.9?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -19\/344 + 1777\/1032. Let n(i) be the first derivative of 26\/5*i**5 + 1 + 0*i + 0*i**4 + 0*i**2 + a*i**3. Find the third derivative of n(j) wrt j.\nAnswer: 624*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 2*g + 1 - 3 = 0, -t = 3*g - 5. Calculate the smallest common multiple of 5 and (2 - 0) + (3 - t).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86*q = -176*q + 103*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15 + -133\/9. Sort -3\/7, m, -3 in ascending order.\nAnswer: -3, -3\/7, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zdzzzddzzdzzd. Give prob of picking 2 d.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -25*h + 11 + h**2 + 37*h - 15. Calculate r(-10).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-94)\/(-329) - (74\/112)\/1.\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 12\/18 - (-10)\/3. Let k be (-111)\/w + (-16)\/64. Let l = k - -30. Solve 0 = -l*z + 4*q + 2, 2 - 6 = -4*z + q for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 409 is divided by 174?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 12 = t. Suppose -2*z + 146 = t*u, -z + u + 31 = -30. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2260 - 2129. Let p(n) = n. Let c be p(2). Suppose 5*h + 5*k - d = 2*k, c*k = -h + 22. Solve 0 = -b + 3*b + 2*v + 2, 4*b - 4*v = -h for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -3*d - 2. Let n(t) = 2*t**3 - 9*t**2 + 3*t + 6. Let y be n(4). Let u(i) = 9*i + 7. Determine y*u(x) + 7*s(x).\nAnswer: -3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 28587 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, e: 1, a: 3, u: 2, n: 1, j: 10}. What is prob of sequence axnj?\nAnswer: 1\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2834 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-41)\/((-3157)\/33))\/((-48)\/(-28))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**3 + m + 6. Let f be p(0). Let h be 531\/6*4\/f. Suppose 2*t - 8 = 0, 2*n + t = -3*n + h. What is the highest common factor of n and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l + 2. Let t be z(-4). What are the prime factors of ((-40)\/3)\/(t\/6)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**3 - 8*q**2. Let n be o(-8). Let h(c) = 11*c**2 + n*c**3 + 6*c - 17 + 4*c + 5*c - c**3. Is h(12) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**2 + 2. Let f(h) = 4*h**2 + 7. Let m(c) = -3*c - 35. Let z be m(-11). Suppose 3*n + 22 = 4*k + 5*n, 3*n + 9 = 0. Give k*s(p) + z*f(p).\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18 and 2406?\nAnswer: 7218","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4848 + 5121. Calculate the highest common factor of 63 and q.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -45 + 26 + 0*y**2 + 12*y**2 - 9*y - y**3. Let c be d(11). Solve c*j + r = 3*r + 10, 0 = -3*j - 3*r - 15 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q + 10, 4*u + 830 = -q + 88. Let w = u - -49. Let l = w + 132. Which is the third smallest value? (a) 0.05 (b) l (c) 0.4 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -227119, -227121, -227123, -227125?\n\"Answer: -2*b - 227117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 62 - 28. Suppose 0 = 5*v - 2*c + 66, -5*v - y - 14 = 4*c. Let s be (-35)\/(-14)*v\/(-5). Let n(x) = -2*x + 6. Calculate n(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-48 + 48 - 10*g)*((2*g + 3*g - 4*g)*(-2 + 1 + 0) + 2*g + 2*g - 2*g + 429*g - 4508 + 4508).\nAnswer: -4300*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*q - 5 + 5 + 3 - q - 3 + (0 + 2 - 3)*(-9*q + 23*q - 16*q).\nAnswer: 3*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -17 greater than -159\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -7*o**2. Suppose m - 3*m + 4*k = -12, 2*m + 5*k = -6. Let a be (1 - 2)\/(-1) - -1. Suppose -z = -a*i - 3, 4*z = m*i - 3*i + 3. What is r(i)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-940)\/(-94)*(-1)\/(-12)*-1\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c - 4*c = 28*b - 66, 5*c - 5*b - 15 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*o**5 + 0*o**5 - 5*o**5 + 4*o**5 - 16*o**5 + 8*o**5 + (-3*o + 2*o + 2*o)*(-o**4 + 2*o**4 - 3*o**4) + o**2 - o**2 - o**5.\nAnswer: -8*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - (-11 - -4 - -5)) + -6?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11033013020 + -101?\nAnswer: 11033012313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**9*w*w*(w\/(w*w\/(w*w\/w**(-4)))*w)\/w*(w**2)**(-17) assuming w is positive.\nAnswer: w**(-18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 70.4723 meters to centimeters.\nAnswer: 7047.23","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the first derivative of -2*r**6 - 19 + 4*r**3 - 8*r**3 + 3*r**3. What is the third derivative of q(o) wrt o?\nAnswer: -720*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-10))\/((-6)\/(-10)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-30 + 9)\/(561\/(-748)).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/88 and 43\/11864.\nAnswer: 130504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s - 28. Let v be t(0). Let l be (-38)\/14 + 8\/v. Let h(i) = -i - 4. What is h(l)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**3 + m**2 + m + 4. Let u(r) = 818*r**2 + 818*r + 3272. What is 818*n(d) - u(d)?\nAnswer: 818*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/36 and -37\/279.\nAnswer: 1116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -259*((-24)\/(-90))\/(54\/(-1296)*-112)?\nAnswer: -74\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -63*o + 61*o - 886. Let t = 766 + o. Does 37 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -51\/71500 and 11\/12.\nAnswer: 214500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 + -7. Let a = 2 + o. What is the closest to -0.1 in -2\/15, a, 2\/7?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*n - 3*z - 1167 = 2*n, -7*z - 13 - 100 = -2*n + 10 for n.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:05 PM and 1:41 AM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.07 in 3, 343, -0.2, 16, -3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -154472 or -154343?\nAnswer: -154472","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 729 a factor of 140194719?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 + 0.01. Let p = 52.989925 - 53. Let j = p + a. Round j to 5 dps.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 (base 11) in base 3?\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -545, -2189, -4929, -8765, -13697, -19725?\n\"Answer: -548*l**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -16640 divided by 64?\nAnswer: -260","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.2 - 0.2. Let j = 18 + -13. Suppose -20 = -m + j*m. Put i, m, -0.1 in decreasing order.\nAnswer: i, -0.1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -6*n - 4. Let q(v) = v**2 + 37*v - 180. Let s(t) = 9*t - 45. Let l(x) = n*q(x) + 9*s(x). What is the first derivative of l(o) wrt o?\nAnswer: -4*o + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 53*y - 2. Is i(5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/4 of a litre in millilitres?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:23 AM and 8:13 AM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times 941.7?\nAnswer: 188.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**2 - 6*w - 8. Let y be d(-4). Solve y*x + 16 = 4*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -766*j + 368*j = 1906*j + 161280 for j.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j + 4. Let d be z(7). Let p be 0\/((-6)\/d + 0). Solve p*o = -2*o + 4*q - 6, 5*o + 4*q = 27 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 10*n**3 - 6*n + 10*n**2 - 7*n - 3*n**3 - 4. Let s(x) = -8*x**3 - 11*x**2 + 14*x + 4. Let c(f) = -7*i(f) - 6*s(f). Calculate c(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*y**5\/8 - 11492115*y**4\/8 - 9576753*y**3\/4 - 957675*y**2 = 0. Calculate y.\nAnswer: -1276900, -1, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.2314 + 0.1314. What is the closest to 1\/2 in -0.8, 0.1, -0.3, o?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 696240?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-5 + 125)*3\/6. Let s = f + -42. What is the greatest common divisor of s and 24?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 100 a factor of 9240300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*t - t - 73*t**3 - t + 12*t**3.\nAnswer: -61*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 k when two letters picked without replacement from {o: 1, k: 1, b: 1, y: 1, l: 2, q: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 2976.66901 to the nearest ten.\nAnswer: 2980","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -104 + -1234023?\nAnswer: -1234131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -476778 divided by -1.\nAnswer: 476778","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 32\/5 of a centimeter?\nAnswer: 64000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -1\/8, 1\/10, -4?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5044 + -1314?\nAnswer: -6361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68 = -28*w + 72. Solve -a + 8 = w*i, i - 4*a - 10 = -0*a for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18321301 divided by -811\nAnswer: 22591","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -44998.183 rounded to the nearest one thousand?\nAnswer: -45000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -246*o = 738, -11151*v = -11154*v + o - 81 for v.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (107\/(18190\/1275))\/(((-18)\/(-20))\/(-9)).\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 252\/5, -3, -443105?\nAnswer: -443105","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 10? (a) 177 (b) 4\/19 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*v - 2*v + 6*v - 1186*v**3 + 1185*v**3.\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-12)\/(-78))\/(((-4)\/6)\/((-46)\/(-552))). Which is smaller: j or 0?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 2 - 8 = 0. Suppose -d*j + 27 = j. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = s - 83, 15 = 3*s + 2*s. What is the units digit of p\/6 + (-14)\/21?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 1 u when three letters picked without replacement from {u: 1, k: 1, d: 4, s: 2, b: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 19066, 19053, 19046, 19051, 19074, 19121, 19198, 19311?\n\"Answer: s**3 - 3*s**2 - 11*s + 19079","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7290, 29003, 65186, 115839, 180962, 260555, 354618?\nAnswer: 463151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**3 + 17*w**2 - 60*w + 2. Let r be x(-20). Solve -8 = -r*a - 2*u, -5 - 17 = -3*a - 5*u for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 4*p = -t + 1549228, 5*p + 3*t - 2582044 = 0. Let r be p\/(-3) - 6\/(-9). Let j = 102136 + r. Round j to the nearest 10000.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 4*m = 4*h - 44, 5*m + 50 = 4*h. Calculate the remainder when 102 is divided by (-385)\/(-15) - 2\/m.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4247645 or 12\/13?\nAnswer: 12\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -2323022110 (base 5) to base 8\nAnswer: -24115734","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -501, 5, -0.2, -3\/7, 0.1, 32, 4?\nAnswer: -501","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**2 - k - 1. Let c(d) = 149*d**2 - 7*d - 5. Let w(s) = 5*b(s) - c(s). Let l(v) = -5*v. What is l(w(u))?\nAnswer: 720*u**2 - 10*u","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2882.\nAnswer: 2, 11, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(432) - (-1 + sqrt(432))) + 5)**2 - -6*(sqrt(147) + 1 + sqrt(147)) - (2*-3*(-1 + sqrt(108) + sqrt(108))*6)**2.\nAnswer: -561126 + 31188*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -50, -152, -302, -494, -722, -980?\n\"Answer: f**3 - 30*f**2 - 19*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -492 - -12302\/25. Let m(h) be the first derivative of -n*h**5 + 0*h + 1\/5*h**2 + 2\/15*h**3 + 2 - 1\/10*h**4. Factor m(a).\nAnswer: -2*a*(a - 1)*(a + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16150237 to the power of 1\/3, to the nearest integer?\nAnswer: 253","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 6\/5 of a millennium?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.064 (b) 60 (c) 40.634\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (6545\/280)\/(4\/(-16)). Do 1\/4 and o have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 0*s + 68 = 0. Put 0, s, 1 in descending order.\nAnswer: s, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-3\/16)\/q*q)**(3\/10) assuming q is positive.\nAnswer: q**(-9\/160)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -357.683 - 6.917. What is t rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.1 and 1.6112.\nAnswer: 1.7112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1114822*q**4*y + 56*q**3*y - q**2 - 338*q*y + 7392*y - 1 wrt q.\nAnswer: 26755728*q*y + 336*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h + 2. Let z be ((-6)\/18)\/(3\/27). Let a = -7 - z. Let l be v(a). What is the second biggest value in l, 5\/3, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 46808099?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, -5, 156?\nAnswer: 156","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -6, -9, -12, -15, -18, -21?\n\"Answer: -3*c - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88*f - 244 = -34*f. Which is greater: f or -96\/13?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 1 = 6*x. Let c be (-1)\/x - 14\/10. Let q = 135.2 + -135.4. What is the closest to c in -4, 0, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1291 - 24523\/19. Which is smaller: s or 1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -4*r**3 + r**2 + 2*r + 1. Let d be 6\/(-5) - (-2)\/10. Give c(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3, -6, -21, -42, -69, -102?\nAnswer: -141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 14261749220 to the nearest one hundred thousand.\nAnswer: 14261700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 393 is divided by 57?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/2*2*7. Let i = c + 29. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -11664622*t**2*w**2 + 21*t**2 + 6309*t - 2 wrt w?\nAnswer: -23329244*t**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in twenty-one quarters of a millennium?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001332 to four decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*b - 5*v = 10*b + 7, -3*v = 0. Suppose -4*j - p = -b*j + 504, 0 = -j + 4*p + 179. List the prime factors of j.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.2 - -1.15. Let j = -0.25 - p. Let r = -1 - -1. Is r at least as big as j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 3, j: 4, f: 1, n: 2, m: 3, g: 2}. Give prob of sequence pjgn.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:59 AM and 2:05 PM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the second derivative of -9129*g**5\/20 + g**3\/3 - g**2\/2 + g. Let n be d(1). Let h = n + 2128. What is h rounded to the nearest ten thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 83 * 29.\nAnswer: 2407","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the first derivative of -24336\/5*m - 133 - 312\/5*m**2 - 4\/15*m**3. Suppose a(o) = 0. What is o?\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, 268 in ascending order.\nAnswer: -1, 4, 268","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 divided by 35?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*x + 2*x + 7*x + 9*x.\nAnswer: 16*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -9331 + 9331 + 2*f**2. Let p(g) = -28*g + 1. What is p(h(a))?\nAnswer: -56*a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -317897 divided by 1.\nAnswer: -317897","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ovv when three letters picked without replacement from vvvvvovvvvvov?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 42495003?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4816 is divided by 100.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 135 = -p + 4*p. List the prime factors of p.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20.368602 rounded to one decimal place?\nAnswer: -20.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:28 PM and 3:53 AM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the third derivative of -n**6\/20 + n**4\/4 + 8*n**2. Find the second derivative of b(w) wrt w.\nAnswer: -36*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4233297 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o - 3*d - 78 + 105 = 0, 0 = 3*d - 6 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 29 + 39 - 68 + 258*k as f*k + o and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - (-39 - -13)) + 0 + 2.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 + -3 - 0)*-2. Let t = 9 - m. Calculate the remainder when t is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 508942726?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -216*m*x + 44132*m + 3*x - 404069526 wrt m.\nAnswer: -216*x + 44132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -187053 + 474190. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) 0.4 (c) -0.6324 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 1411488?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.2, -0.1, -5, 806\/751, 4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m - 45 = 5*t, -9*m + 7*m + t = 6 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-215*z - 26*z**2 + 1 + 215*z)*(5 - 3 - 4) + 2*z - 2*z + z**2.\nAnswer: 53*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/5 (b) -1.6 (c) 2 (d) -3 (e) 0.04 (f) 17\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 49\/56*(-132)\/154?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -122083100 to the nearest one hundred thousand.\nAnswer: -122100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -4324, -8765, -13206, -17647, -22088?\n\"Answer: -4441*a + 117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2563\/5428 or 1?\nAnswer: -2563\/5428","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = j + 3*j. Let c be (-2*7\/3)\/(j\/(-273)). Let p = 324 - c. Is p a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 778 is divided by 65.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the third derivative of 0*b + 1\/3*b**3 + 1\/15*b**5 - 1\/60*b**6 + 1\/8*b**4 + 0 - 4*b**2. Let y be a(-3). Round y to the nearest ten.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12956931?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-76*m + 30*m + 37*m)*(-m + m - m) - 21*m**2 + 725*m + 3*m**2 - 726*m in the form y + h*m + d*m**2 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -10 + 35*k**2 + 208*k**2 - 30 + 40 in the form o + w*k + m*k**2 and give m.\nAnswer: 243","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -325*j + 1953. Let v be k(6). Sort v, 0.25, 1\/6, 1\/2 in increasing order.\nAnswer: 1\/6, 0.25, 1\/2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 >= 1\/343?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:25 AM and 8:59 AM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*n + 14302 = 14261 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/m**(-1))\/m**(-2\/13))\/(m*m*(m\/(m**(-1\/24)\/m))\/m*m*m**(-2\/7)))**38 assuming m is positive.\nAnswer: m**(-66481\/1092)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 3056\/36 - (-6 + 6*372\/324)?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -140.9683 - 0.0317. Which is bigger: -1\/2 or t?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (111 - 150) + 5 + -2 + 14.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15 - 11. Suppose 0 = m*i + 3*p - 32, -2*i + 7*i - p - 21 = 0. Let f = i - 2. Solve -k - 11 = -4*t + 1, k - f*t = -8 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g - 2*g + 6. Let m = g + -3. Suppose 0*x - m*x = -69. Does 11 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = 5*s - 99. Let h be (-63)\/(-1) - 3\/(-12)*0. Suppose -s*r + h = -8*r. Is 10 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes before 10:48 AM?\nAnswer: 2:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.15095 (b) -5 (c) 0.26 (d) 8\/7 (e) -0.9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -47189 - -7?\nAnswer: -47182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 14 = 39. Suppose 2*m - 3*m + r = 0. Put 3, -3, m in descending order.\nAnswer: m, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -18 + 27. Let g = 14 - k. Let h be 180\/(-140) - (-2)\/7 - -4. Solve 8 = -g*o + h*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, n: 2, j: 4, y: 1, o: 2}. Give prob of sequence jjoy.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*w + 1 = -32. Suppose 2*l = -w*a - 513, 3*l = 3*a - 0*l + 528. Let z = a - -297. Does 31 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 32 and 256?\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 + -1.5. Let r = -0.8 - 2.2. Which is the third smallest value? (a) y (b) r (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1504035, -3007913, -4511805, -6015717, -7519655, -9023625, -10527633?\n\"Answer: -i**3 - i**2 - 1503868*i - 165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2*1 + (-14366)\/(-4928). Let s = g + -11\/32. Find j such that -16\/7*j**2 - s + 20\/7*j = 0.\nAnswer: 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-7\/5))**(-20\/7) assuming g is positive.\nAnswer: g**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the second derivative of -15\/8*d**2 + 9\/16*d**3 + 1\/32*d**4 + 1 - 9*d. Determine i, given that p(i) = 0.\nAnswer: -10, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3*5\/(-15)*96. What is the greatest common divisor of d and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes after 7:29 PM?\nAnswer: 12:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the second derivative of -w**7\/126 - w**6\/10 - 23*w**5\/60 - 7*w**4\/36 + 4*w**3\/3 + 8*w**2\/3 - 249*w. Suppose g(o) = 0. Calculate o.\nAnswer: -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2081466.713 + -0.1\nAnswer: -2081466.813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -384675*v**3 - 599756*v**2 wrt v.\nAnswer: -2308050","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.16 - -2. Which is the closest to 1? (a) -0.2 (b) 2 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (m + 1 - 1)*(34*m - 49*m - 10*m)*(-75*m**2 - 32*m**2 + 34*m**2) to the form l*m + i*m**4 + q*m**3 + b + p*m**2 and give i.\nAnswer: 1825","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 26*h**2 + 68*h + 12. Determine g(-6).\nAnswer: 540","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 h when two letters picked without replacement from {w: 1, m: 1, h: 2, c: 2, p: 1}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes before 11:13 AM?\nAnswer: 11:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -2 (b) 0.038 (c) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -188 by -4.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ldndldld. What is prob of picking 3 l and 1 n?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 - f)*(1082 - 1082 - 40*f)*(-356*f**2 - 15 + 355*f**2 - 97) in the form s*f + x*f**4 + d*f**2 + m + c*f**3 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (-25 - -32) - 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 10*t + 751 = 8*t, -3*b = 3*t - 726. Suppose -b = s - 252. What is the smallest common multiple of s and 168?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -87*h + 14 - 89*h + 177*h. What is w(-10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1811 times 12057\nAnswer: -2183.5227","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -ce - -c?\nAnswer: -c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1415.89 and -4.\nAnswer: 1411.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 18\/7 of a week?\nAnswer: 25920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ubvtpnub. What is prob of picking 1 t and 1 b?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2\/5)\/r*r**(1\/3)*(r**(-1))**(-2))**(-26) assuming r is positive.\nAnswer: r**(-364\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = 3*i + 7, 4*i = -0*d - 3*d + 9. Let l be i\/(-6) + 1 - 1. Is -4 + 672 + 4 - l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*sqrt(260)*2)\/(sqrt(720)*1))\/((sqrt(48) - (sqrt(48) - sqrt(192)\/sqrt(4))*4)\/(sqrt(12) - sqrt(24)\/(sqrt(2) + sqrt(32)))).\nAnswer: -4*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 2*h - 61. Let n(z) = 8*z. Determine x(n(o)).\nAnswer: 16*o - 61","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/(y**(-16)\/y)*y*y*y\/(y\/y**19)*y assuming y is positive.\nAnswer: y**40","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - f + 6 = 0, -4*f = -2*w - 3*f + 6. Suppose -w*u - r = -4*r - 146, 0 = 5*u + 4*r - 167. Does 17 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1260 + 633 - 3830*c**2 + 627.\nAnswer: -3830*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1651, 2376, 3101, 3826?\n\"Answer: 725*z + 926","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:24 PM and 5:04 AM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(-12))\/t**(-16)*(t\/((t*t**(-2\/5))\/t)*t)\/(t\/(t\/(((t*t**(-19))\/t)\/t))))**(-28) assuming t is positive.\nAnswer: t**(-3836\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*a**3 + 31*a**3 - 12*a**3.\nAnswer: 4*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.16? (a) 2\/5 (b) 5 (c) -27198\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1020 - -210?\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-1856)\/(-128))\/((-2)\/(-36)). Calculate the highest common factor of d and 609.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-220)\/(-550) - (-11438693)\/5 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yhkkhkdthdhh. Give prob of picking 2 h and 1 t.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-9)\/(-2))\/(186\/8). Let l = 178\/279 - j. Let s = -3941\/345 + 1535\/138. Calculate the common denominator of l and s.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 131379 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -86, -170, -254?\n\"Answer: -84*s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, e: 6}. What is prob of sequence eyee?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*m + 374*m = -8690. Which is the second smallest value? (a) 5\/4 (b) 3 (c) -1 (d) 6 (e) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4618 is divided by 28.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(72) + (-6*(sqrt(72) + 1) - sqrt(72))))**2 + 1.\nAnswer: 6912*sqrt(2) + 42049","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-1))\/(234\/(-351))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2149916 and 22381.\nAnswer: 2172297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -2*t + 2 + 3, -5*v = -t + 25. Let r(o) = t*o - 3*o - o**2 + 5*o**2 - 3*o**2 + 1. Determine r(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.08 and 0.109313.\nAnswer: 0.029313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -37 + 1?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.8 times -8?\nAnswer: -14.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -18.21028446 to one dp.\nAnswer: -18.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2537 is divided by 69.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 672 and 20538?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 - 13?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t - 7. Let s be a(7). Let h be (5 + -4)*(s + -1). What are the prime factors of h\/(1\/(-99)*3)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + t - 4 = 0, 3*t = 8*t - 15. Let s be 6*(r - 4)*-1. Solve 4*w + 2*u = s, -w - 3*u = 2*u - 27 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2\/9)\/n)**(-19)*(n\/(n\/n**0))**19 assuming n is positive.\nAnswer: n**(209\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 362707139 to the nearest integer?\nAnswer: 713","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34768.\nAnswer: 2, 41, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 19758.\nAnswer: -1\/6586","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y - 1. Let t(a) = -3*a - 1. Determine -k(c) + t(c).\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**2 + 6*t - 3. Let u be n(4). Suppose u*b - 5 = -120. Let p = -288 - -265. Does b = p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.3 - 0.1. Let h(r) = -r**3 + 8*r**2 - 11*r + 26. Let z be h(6). Let f be (-24)\/z*(-8)\/(-27). Which is the nearest to -0.2? (a) -0.3 (b) f (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -175 and -653.\nAnswer: 114275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w = -8*w - 6. Let d(p) = p**3 + 7*p**2 + 12*p + 5. Let b be d(w). Solve b*c = 2*c - 12 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8672, 10655, 13954, 18569, 24500?\nAnswer: 31747","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -4*c. Let p be ((-6)\/(-4))\/(252\/672). Suppose 20 = -5*u + 5*d, d = -2*u + 4*u + 3. Solve m + p + u = c for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 114*k - 2*m = 117*k - 10, 1 - 2 = -9*m + 10*m for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.07 < -30722598?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(1100) + -2)*-2 + 0 + -2.\nAnswer: -26 + 120*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 445907 is divided by 116.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10224128 and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2354124?\nAnswer: 2, 3, 196177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are 165992 and 3817803\/23 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3660443728.\nAnswer: 2, 53, 4316561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3087 is divided by 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from sssstts.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 2 = 0, 2*b + 3*b - 54 = -3*u. What is the highest common factor of 6 and b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**3 - 3*b**2 - 9*b - 5. Let k be q(5). Suppose k = -3*j - j + 240. Is 10 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 153.6873 years?\nAnswer: 0.1536873","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*y - 14*y + 5*y.\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -163.05 minus -3.5846?\nAnswer: -159.4654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the first derivative of m**4 + 2*m**3\/3 + m**2 - 1. Let p(t) = -2*t**3 - t**2 - t. Let x be (-4 - 2)*(-1)\/(-1). What is x*b(i) - 13*p(i)?\nAnswer: 2*i**3 + i**2 + i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -13289 or -13288?\nAnswer: -13288","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 43 + 76*w - 17 + 29 + 39*w.\nAnswer: 115*w + 50","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 179522706?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -176034*q**2 - 206256*q wrt q?\nAnswer: -352068","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 54*w - 60*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3 - -2*10\/4. Let u = 4017 - 4011. Solve -2*n + 5*z - 15 = n, 2*n - l*z + u = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 180*q**2 - 63*q + 2. Let h be (1 + 7)\/1 + 0. Let g(c) = -415*c**2 - 36 + 29 + 188*c - 125*c**2. Let l(d) = h*r(d) + 3*g(d). Solve l(n) = 0 for n.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -105918*p**2 - 2*p + 447190.\nAnswer: -211836*p - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 903 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 48442182 and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3, -5, 2, 105, -7, 6 in increasing order.\nAnswer: -7, -5, -3, 2, 5, 6, 105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = z - 0*z. Let p(r) = r**2 - 3*r - 3. Let j be p(z). Let s = j + -29. Solve 4*b = -14 + 2, 5*c + s = -4*b for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -a + 15. Suppose 2*z - 6 - 2 = 0. Put a, 2, z in increasing order.\nAnswer: a, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express v**3 - 1 + 296*v**2 + 15*v - 296*v**2 as i*v**2 + w + a*v**3 + q*v and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3630444?\nAnswer: 2, 3, 19, 15923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 6, y: 2, h: 1, x: 3}. Give prob of picking 2 q.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2043149 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wswwwwwwooosaowoss. Give prob of sequence sa.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3692685 divided by 173.\nAnswer: 21345","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 5*-3*((1*4*(sqrt(325)*-1 + sqrt(325)))**2 + -4 + 4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 180 divided by -12\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the second derivative of i**5\/5 - i**4\/6 - i**3\/6 - i**2\/2 - 2*i. Is l(2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -210 (b) 20\/9 (c) 0.2 (d) 0.4 (e) -1\/3 (f) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 98887*u + 22672. Let r be y(14). Round r to the nearest 10000.\nAnswer: 1410000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1571 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3325 - -3977. Calculate the remainder when z is divided by 217.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 36\/127 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-154)*(4157 + -4227)\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 3 = -0. Suppose -g*h + 0*h = -15. Suppose 0 = -0*k + 5*k - h. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2242 + -15692\/7. Which is the closest to 0.1? (a) -4 (b) w (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.592971l in millilitres?\nAnswer: 592.971","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 1 = 13. Let y be c\/(-7)*7\/(-2). Suppose 0 = z - y*l - 1, 5*z + 4*l = 9 + 38. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w + 21. What is the units digit of v(-13)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 683.72685 nanoseconds?\nAnswer: 0.000000000189924125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fourty-five quarters of a decade?\nAnswer: 1350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is e74 + -2bc?\nAnswer: bb8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7945020 to the nearest integer?\nAnswer: 2819","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -7773, -15533, -23293, -31053?\n\"Answer: -7760*x - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 102*i**2 - 4*i + 4. Let p be c(2). Let d = p - 267. What are the prime factors of d?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12 - -12.02. Let s = 0.38 + w. Put s, 4, -2 in descending order.\nAnswer: 4, s, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes after 1:44 AM?\nAnswer: 3:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1211112659 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - j + 3 = 2*y, 0 = -5*y - j + 3. Let k(h) = -6*h + 19. Let s(o) = o - 4. Let a(i) = -2*k(i) - 11*s(i). Calculate a(y).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(3\/5*(-20)\/(-18)). Let i be (-2 + 1\/2)\/(-6). Which is the nearest to i? (a) p (b) -0.1 (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -4*k - 12, -d + 3*d - 14 = -3*k. Suppose -24*p + 75 = p. Suppose -28 = -3*h + p*j + 113, 207 = 5*h + k*j. Is h a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -477, -2353, -7049, -15981, -30565?\n\"Answer: -236*d**3 + 6*d**2 - 242*d - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/12)\/((-10)\/(-540)). Suppose 0 = -y*t + 14*t - 4*z - 5450, -4*t = 4*z - 4324. List the prime factors of t.\nAnswer: 2, 3, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1639 and 1.\nAnswer: 1639","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 3*w. Let k(v) = -v. Let q(d) = 6*j(d) + 17*k(d). Let a be q(2). Suppose -a*c + 393 = c. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 60, 93, 102, 75, 0, -135, -342?\nAnswer: -633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and -51149?\nAnswer: -15344.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 12 and 1074564.\nAnswer: 12894768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36 divided by -393.\nAnswer: -12\/131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n**2 + 2 - 2)*(22*n**2 - 17*n**2 + 10 - 28 + (-2*n**2 - n**2 + 5*n**2)*(-4 + 5 - 3)).\nAnswer: 2*n**4 - 36*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 2\/3*y - 1\/3*y**4 + y**2 + 0*y**3.\nAnswer: -y*(y - 1)**2*(y + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 196 + -416. What is the tens digit of (-4)\/10 - 86328\/a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-26840)\/(-600) - 45 - 6\/(-10). Let b(j) be the second derivative of 11*j + 4*j**3 + 0 + w*j**4 + 16*j**2. Factor b(h).\nAnswer: 4*(h + 2)*(h + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101010100 - -1100100100010111010?\nAnswer: 1100100101000001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 20440 - 20441. Put -655, 2, l in decreasing order.\nAnswer: 2, l, -655","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5, -2, -1, -65, -6, 108 in descending order.\nAnswer: 108, 1, -1, -2, -5, -6, -65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -34910 to the nearest 10000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1.9 (b) -3 (c) 6 (d) -1 (e) 0.089\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 20405?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 15 - 11. Let n(f) = 1 + 2*f + 2 - 3 + c. Determine n(7).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 + -2 - 1)\/(-1). Suppose -n = 3*v - 4*v + l, -n + 10 = 5*v. Solve 15 = -v*w - 3*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11181 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*z + 109 = -305 + 54 for z.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1038559 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 7 = -4*k + o, 3*k - 5*o - 1 = 0. Suppose -2*u = x - 2*x - 8, 8 = k*u + 3*x. Solve -u = 2*c + 6 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1600 a factor of 10668134?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add 1568228105 and 130.61.\nAnswer: 1568228235.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*t**2 + 19*t**2 + t**2 - t**2.\nAnswer: 21*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5718 divided by -6.\nAnswer: 953","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2\/19)\/d**(3\/4))\/(d\/(d*d**1*d))**(-7\/5)*(d**7\/d**(2\/3))\/(d**1)**(1\/11) assuming d is positive.\nAnswer: d**(32443\/12540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -290310 to the nearest 10000.\nAnswer: -290000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 526711695.\nAnswer: 3, 5, 3833, 9161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -365 - -789. Suppose -67 = -z - a. Is ((z\/(-12))\/7)\/(4\/32) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.1*-1275.7893\nAnswer: -1403.36823","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -5*j - 1. Calculate the lowest common multiple of i(-1) and 22.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 241*c - 1102*c - 475 + 230 + 245.\nAnswer: -861*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s + z, s + 7 = -0*s - 2*z. Let u(n) = 24*n**2 - 2*n + 2. Does 8 divide u(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3893378 at most as big as -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 39, 463, 1595, 3789, 7399, 12779, 20283?\n\"Answer: 59*l**3 + 11*l - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 158 = 138. Calculate the least common multiple of 382 and y.\nAnswer: 3820","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 33*a + 35*a + 61*a**4 + 36*a - 101*a - 17 wrt a.\nAnswer: 732*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 divided by 9376.\nAnswer: 5\/4688","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times -0.0846\nAnswer: 0.00846","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -108743280 divided by 218360?\nAnswer: -498","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1439 + -1452. Put 5, -0.5, 0, n in increasing order.\nAnswer: n, -0.5, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**2 + 6*j - 4*j + j - 2*j. Calculate c(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 261 divide 68114979?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 630\/(-39) + 2\/13. Let n be 3\/(-4) + (-12)\/x. Factor n*b - 1\/2*b**3 + 0 - 1\/4*b**4 - 1\/4*b**2.\nAnswer: -b**2*(b + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 4*z = 16, -a + 2*z - 3*z + 2 = 0. Suppose 0 = -5*c + 4*n + 37, 0 + a = 2*n. Is ((-9)\/6)\/(c\/(-174)) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 1885*g - 18819. What is n(10)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h + q = 3, -9*h - 3*q + 8*q - 6 - 75 = 3*q for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6*v + 5*v**2 - 3*v - 11*v + 4*v + 33 wrt v?\nAnswer: 10*v - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8\/643 - 46987\/3858. Find the common denominator of k and -13\/75.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11341 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -26204.7 + 26234.6951. Let s = -30 + k. What is s rounded to 3 decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 178048?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10239 is divided by 2552.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 - 5b?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.581 and -0.46.\nAnswer: 0.26726","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 take away -1465.85?\nAnswer: 1460.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 2*o**2 + 10*o - 2. Does 16 divide u(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3, -90, -2 in decreasing order.\nAnswer: 5, 3, -2, -90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 194 divide 30222484?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 990 = -34*k - 50*k - 6*k for k.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.65537 micrometers in meters?\nAnswer: 0.00000465537","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -774699, -1549405, -2324111, -3098817, -3873523, -4648229?\n\"Answer: -774706*f + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -112 divided by 56.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -3\/4 (b) -2 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1.79 and -6970070497.\nAnswer: -6970070495.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -12*c**2 - 15392*c + 4930580. Let a(g) = 5*g**2 + 5131*g - 1643527. Let k(r) = -8*a(r) - 3*q(r). Let k(z) = 0. What is z?\nAnswer: 641","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1730308000 to the nearest 1000000.\nAnswer: -1730000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 200 - 157. Calculate the remainder when g is divided by 18.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 55*p + 9. Let b(i) = -28*i - 4. Let n(g) = -9*b(g) - 4*h(g). Let z(d) = -d. Calculate z(n(w)).\nAnswer: -32*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -96, 4, 23 in descending order.\nAnswer: 23, 4, -96","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 71 divide 2155284?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -241061*v**6 + v**3 - 1904944*v**2 wrt v.\nAnswer: -28927320*v**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqcq when four letters picked without replacement from {c: 1, q: 4, n: 2}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -259863*h. Let o(z) = -z**2. What is f(o(r))?\nAnswer: 259863*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7166 is divided by 881.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-12)\/(-9))\/(40\/9 + -4). Let 2\/7*c**4 + 2\/7*c + 6\/7*c**2 + 6\/7*c**l + 0 = 0. Calculate c.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 760221491 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1032 + -740. List the prime factors of m.\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 + 10. Suppose -106*a + 5 = -105*a, 3*a - 684 = -3*h. Calculate the remainder when h is divided by w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 18 = 4*b, 3*b + k = 6*b - 11 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.22462 in 5, -0.2, -7?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence glg when three letters picked without replacement from {j: 1, l: 1, g: 3}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s = -1203 + 405. Suppose -2*u = -7*f + 4*f + 433, 5*u = -f + s. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 92 - 11 = 3*v. Let y = 82\/3 - v. Let d = 900.9 - 901. What is the nearest to y in -1\/2, d, 14?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22687, -22688, -22683, -22666, -22631, -22572, -22483?\nAnswer: -22358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -264532*q**2 - 32*q + 696*q**3 - 671*q**3 + 264532*q**2.\nAnswer: 25*q**3 - 32*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14546884051254 - 27.\nAnswer: 14546884051227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77204 is divided by 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-7)*70\/(-20)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-12)\/5*(-15)\/6. Let n(i) be the third derivative of -1\/120*i**y + 1\/24*i**4 + 1\/3*i**3 + 2*i**2 + 0 + 0*i + 1\/20*i**5. Give n(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -c**2\/5 + 53571*c\/5 - 25588898\/5 = 0. What is c?\nAnswer: 482, 53089","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1334451 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.12061 + 638.02061. What is g rounded to the nearest 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -166*l**3*u*w - l**2 + 3*l*w - u*w + 63*w wrt l.\nAnswer: -996*u*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - 92160.7?\nAnswer: -92167.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (2 + -6) - (-29 + 32)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(2\/7)\/f)**39)**(-21)*f\/(f**3*f*f)*f*f**(4\/5)*f*f*f**2*f**(3\/5) assuming f is positive.\nAnswer: f**(2937\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 390, -0.1, 0.976 in decreasing order.\nAnswer: 390, 0.976, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -3*h**2 + h - 1. Suppose -3*p - 4*w + w = -12, p - 7 = -2*w. Let i be z(p). Let u(o) = -3*o**3 - 3*o**2 + o - 2. Is u(i) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 222, 871, 1952, 3465, 5410, 7787?\n\"Answer: 216*s**2 + s + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the second derivative of 5\/3*t**3 + 0 - 35\/2*t**2 + 22*t. List the prime factors of k(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 76771?\nAnswer: 76771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-12390)\/63 + -4 + 11. Is -190 bigger than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 9 = h - 0*t, -3*h - 2*t = -13. Put -4, -2, h in ascending order.\nAnswer: -4, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 287*g + 22. Let s be b(4). Suppose 4*v - 2*q = 21050, -4*q = -v + 6443 - s. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 103783 is divided by 260?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h - 1 - 39. Suppose 20 = 4*j, -2*d + h*j - 23 = 5*j. What is the second biggest value in 0.1, 11, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u + 1. Let a(w) = 2*w - 3. Calculate 5*a(h) + 6*z(h).\nAnswer: 4*h - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 6, h: 1, f: 4}. What is prob of sequence hf?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 16181 (b) 3 (c) -18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve p = 3*a - 4735 + 4736, 0 = 4*a + 4*p - 4 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 772196.\nAnswer: 2, 71, 2719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -57*q + 4977. Let i(n) = -18*n**2 + 36. Give t(i(d)).\nAnswer: 1026*d**2 + 2925","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/3)\/((-80)\/180).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.4429 in 0.4, 1, 4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*p = -1904 - 16396. Is p a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*l + 70 - 2*l - 50 to f + r*l and give f.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 + 0. Suppose -5*r + b = -17. Solve 12 = -2*j + r*j, -5*q - j = -19 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -362*-7.\nAnswer: 2534","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -5*r**3 + 4*r**2 + 8*r + 8. Let q(p) = 2*p**3 - p**2 - 3*p - 3. Give -3*o(h) - 8*q(h).\nAnswer: -h**3 - 4*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 + -33?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -96 + 6 + (-17 - (-21 + 9 - 12)).\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 71 - 1?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2274)\/(-63) - (-226)\/(-2373). Is -19 at most s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, 6\/5, -2\/17, -0.2, 8 in ascending order.\nAnswer: -0.2, -2\/17, 1\/3, 6\/5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 125046 != 1250469\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 408938278 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 11517.137687 rounded to the nearest ten?\nAnswer: 11520","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*z = -4*f + 9*f - 10 - 15, 0 = 2*z - 10 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = 2*k - 42. Let u = k - 13. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -19665981\/73162046 - -3\/211451. What is the common denominator of g and 13\/20?\nAnswer: 3460","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3908 + 54599\/14. Let v(d) = -5*d**3 + 5*d**2 + 2*d - 2. Let b be v(4). Let m = b - -1877\/8. What is the common denominator of a and m?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1\/6656 + -26621\/19968. Which is the smallest value? (a) 0.4 (b) n (c) 0.9 (d) 6 (e) -2\/23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (188\/282)\/(4\/(-90))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 536 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11092 + 22187\/2. Let d(b) be the first derivative of -7 + t*b**2 + 10*b. Determine d(-8).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 2) in base 14?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 222004 and 380.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the first derivative of -5*i**2 - i - 1. Let w be 2 + (-6)\/4*2. What is the units digit of a(w)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 + 1.6. Let g = y + 0.9. Let t = 0.6 - -4.4. Which is the closest to t? (a) 5 (b) -2 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -3, -3*b + 2*b = 4*f + 4. What are the prime factors of b\/3*(9 + (-1371)\/4)?\nAnswer: 2, 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27552 a multiple of 82?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3667 and 11580?\nAnswer: 220020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -883 = 276*l + 2153 for l.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -5*z**3 - 8*z**2 + 8*z - 8. Is p(-7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7c (base 16) to base 3\nAnswer: -11121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 167019408 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r**3\/5 - 26349*r**2 - 263487*r\/5 - 131743\/5 = 0.\nAnswer: -131743, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(-8\/9)*o)**(-1\/4)\/(o**(6\/7))**(-3) assuming o is positive.\nAnswer: o**(289\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1409021 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the second derivative of -h**7\/7 + 13*h**6\/15 + 13*h**5\/10 - 13*h**4\/6 - 10*h**3\/3 - 27*h. What is y in i(y) = 0?\nAnswer: -1, -2\/3, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 56480969 to the nearest integer?\nAnswer: 7515","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 10*z + 82. Let a be g(-8). Let b(w) = 23*w**3 - 3*w**2 + 2*w - 3. List the prime factors of b(a).\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, -5, -51?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3559305?\nAnswer: 3, 5, 237287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/13 (b) -1\/2 (c) -3 (d) 1\/2 (e) -0.1 (f) -251\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19024*o + 18997*o + 18590337 = 0. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42981.\nAnswer: 3, 14327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 101720935 to the nearest integer?\nAnswer: 10086","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -62, -140, -232, -338, -458, -592, -740?\nAnswer: -902","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 245838\nAnswer: 1\/245838","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 - 7. Let g(b) = 4*b**2 - 2*b. Let y(k) = -k**2. Let w(p) = d*y(p) - g(p). Factor w(a).\nAnswer: a*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 30 and 109376610?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*z + 61*z - 29*z.\nAnswer: 4*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 431972 divided by -91\nAnswer: -431972\/91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7.1623 - 7.96232. Let d = 0.8 + p. Round d to five decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2449 + 2448. What is the nearest to r in 9.8, -4\/7, -2?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -91*j. Let y(s) = 23*s**2. Give y(i(x)).\nAnswer: 190463*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**2 - 14*l - 11. Let b be o(-13). Solve -2*n = b*v + v - 10, -v - 25 = -5*n for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 12 in 1\/3, -5, -0.23, -0.2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 19 - (-48 + 59)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -2*y**2 - 26648*y - 88764488 = 0.\nAnswer: -6662","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*o = 5*o + 8160. Suppose -117*g = -109*g - o. Is 5 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:18 PM and 2:44 AM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13 and 1130596961.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the second derivative of z**3\/6 + z**2 + z. Let l be p(0). Suppose -l*n + 4*n - 10 = 0. Is n a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -220212 + 11?\nAnswer: -220201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -33 - -12. Is (t\/6)\/(1\/(-2)) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 116 and 5.\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 5, -2, -1, 55 in ascending order.\nAnswer: -2, -1, 3, 5, 55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/2)\/(17*2\/4)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 639 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6*5\/(-240) + 2\/12. Let p(y) be the third derivative of -13*y**2 - 5\/6*y**3 + 0*y + 0 - x*y**4. What is the derivative of p(l) wrt l?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -20*v**2 + 12*v - 12*v + 22*v**2. Let g(q) be the first derivative of q**2 + 1. What is g(x(k))?\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2959 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 55 and 77449735.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**3 - 10*b**2 + 23*b - 5. Give t(-12).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 257949 = 74*x - 77*x, 4*x - f = 343920. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 56*m + 32. Let o(i) = 5*i + 3. Let g(n) = -32*o(n) + 3*v(n). Let h(l) be the first derivative of -l**2\/2 - 77. Calculate h(g(z)).\nAnswer: -8*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(34) + sqrt(136)\/sqrt(4))*3)\/((3*sqrt(6))\/sqrt(3)) + ((4 + -4 + 1 + sqrt(17))*1*6)**2.\nAnswer: 74*sqrt(17) + 648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -4 (b) 5 (c) 4 (d) 757 (e) 0.03\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 57938 + -3476429\/60. Find the common denominator of 137\/60 and f.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 23174, 23681, 24204, 24749, 25322, 25929, 26576?\n\"Answer: o**3 + 2*o**2 + 494*o + 22677","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1353.\nAnswer: 3, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + h + 3 - 9 = 0, -5*o - 4*h + 37 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 3 - 3)*(-98*a + 747*a + 595*a)*(-1 + 4 - 2)*(3 - 3 + 1).\nAnswer: 2488*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4a - 34cb?\nAnswer: -3537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -15732.8383 rounded to 0 dps?\nAnswer: -15733","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*(-3)\/18*-15?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 2*y**3 - 8*y**2 - 7*y. Let t be a(7). Let x = t - 111. Is x a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 2 l, and 1 r when four letters picked without replacement from lnnrrrrrrrl.\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-2))\/((-74)\/(-115 + 337)) - (-25)\/(-2)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:56 PM and 11:29 PM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:15 PM and 8:38 PM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -2a (base 12) in base 11?\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -62*x - 10*x + 589 + 59 for x.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10 - -27. Let r = w - -3. Round r to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1741 to the power of 1\/2, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -61*v. Give f(-2).\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -25? (a) -17 (b) -2\/5 (c) 0.5 (d) -0.038\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**3 - 12*o**2 - 13*o + 8. Let v be d(13). Let t = -3553 + 35457\/10. What is the common denominator of t and 94\/v - (6 + -10)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 95\/812348 and -22\/9541.\nAnswer: 5686436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/650*5*-1\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:27 AM and 5:14 PM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -261, -256, -249, -240, -229, -216?\nAnswer: -201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-151822)\/(-1030))\/(462\/42)?\nAnswer: 67\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*h + 4 - 4 + 2*h + 0*h + 0*h + (3*h - 5*h + 3*h)*(0 + 0 + 2) + 2*h - h + 0*h - 2*h + 2*h + h to the form x + t*h and give t.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*k**2 + k**2 + 4*k**2)*(-9677*k + 289 - 9667*k + 19373*k).\nAnswer: 29*k**3 + 289*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ueeetettteeeu. Give prob of sequence te.\nAnswer: 7\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 11948 <= -1641?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**3 + 729*i**2 - 6834*i - 7560.\nAnswer: 3*(i - 10)*(i + 1)*(i + 252)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1.38, -2\/9, -2\/5, 2\/69, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -97 - 915 = -11*d. Suppose 0 = -d*c + 95*c - 15. Solve 17 = -c*w - 8 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 5*f**2 + 152*f + 4248. Is d(-71) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 116.2831*0.02.\nAnswer: 2.325662","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 47\/4 of a litre?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13, -35, -83, -169, -305, -503, -775?\nAnswer: -1133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.5 + 3. Let d = -0.6 + f. What is the closest to d in -1\/6, -1\/3, 0.2?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**3 - 6*o**2 + 6*o - 3. Let w be v(-7). Suppose 3*b - 14 = w*m - 42, -2*b - 22 = -3*m. Let d be 2\/(-1 + 1 - -1). Solve -d*r + 7*r = -m for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.289 and -5.71?\nAnswer: -1.65019","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 69587365993 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 472 divide 11147696?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-35*u**3 + 2268*u - 2 - 2268*u)*(-3*u + 3*u - 3*u) as j*u**3 + o + v*u + z*u**4 + q*u**2 and give z.\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tzne when four letters picked without replacement from qznetnveq.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.2, 4548, -2\/5, 3, -3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -3*o + 448, 261 + 68 = -3*s + 4*o. Let w = s + 204. Let k = w + 228. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(1792) + (sqrt(1792)*-1 - sqrt(1792)) + -3 + (-1*sqrt(1792) - sqrt(1792))*-2 + sqrt(1792) - (3 + -2 + sqrt(1792) + 5)))**2.\nAnswer: -1248*sqrt(7) + 16297","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aaa when three letters picked without replacement from ndananxdaanxa?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**2. Let p(o) = 235905094*o**2. What is d(p(y))?\nAnswer: 55651213375148836*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 574*u - 4*u**2 - 1145*u + 2*u**2 - 2*u**2 + 571*u.\nAnswer: -4*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 560 and 74560?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p**2 - 255869*p\/9 + 255950\/3 = 0. Calculate p.\nAnswer: -255950\/27, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -51115 - 4?\nAnswer: -51122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b67810 (base 15) to base 11\nAnswer: 49a0174","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 3*q + 21, 3*w + w = -5*q - 31. Let d(a) = -59 - 6*a - 55 + 118. Let k(j) = -5*j + 3. What is q*d(x) + 4*k(x)?\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (-9)\/(-4) + 390\/520?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*c**3 + 88*c**3 + 481*c**3 - 640*c**3 + 85*c**3.\nAnswer: -11*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:15 PM and 9:02 PM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 1\/8, 0, 5, 190?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 648?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2340 and 156.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 7*n + 12. Determine j(11).\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5648 is divided by 36.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*w**4 - 84*w**3 + 400*w**2.\nAnswer: -4*w**2*(w - 4)*(w + 25)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 + -3. Let a = -10 - -4. Let x = -6 - a. Solve -h + p + 2 = x for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9465 + 9474. Let b(y) = y**2 - 7*y - 19. Calculate b(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/41 (b) 0.03 (c) 0.5 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-78)\/(-19) + 2064\/(-114) + 18?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i**2*i*i)\/i**(2\/5))**(-23))**41)**31 assuming i is positive.\nAnswer: i**(-526194\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2269 = 3*d + u - 92, 4*d = 3*u + 3161. Suppose 0*w = -4*w + d. List the prime factors of w.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25986 (base 11) to base 16.\nAnswer: 9100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -54093, -108224, -162371, -216540, -270737, -324968, -379239?\nAnswer: -433556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 123 (base 12) to base 3\nAnswer: 20100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*1*(-4*sqrt(78)*1)\/(sqrt(72)\/(sqrt(12) + sqrt(432)))*-4*1)**2.\nAnswer: 163072","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -100.91 - -100.5. What is the nearest to -0.1 in -2\/3, -2, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1105, -2412, -4573, -7570, -11385?\nAnswer: -16000","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x + 69 + 75. Let o = 67 - x. Let u = -3 + o. Solve -3*j + 5*m - u = 0, m + 0 = 2*j + 7 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -107976 + 107981. Let d = -154.1 + 143. Let g = 1.1 + d. Sort l, g, 0.5, 0.4.\nAnswer: g, 0.4, 0.5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2\/7)\/(1\/7) + 634. Suppose -32 = 4*f - i. List the prime factors of f.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*n*u*y + 61*n*u - 2*n*y + 3*n - 2*u*y + 3*y wrt u?\nAnswer: 2*n*y + 61*n - 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -9*n**2. Let d(p) = 14*p**2. Calculate s(d(c)).\nAnswer: -1764*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -226bc (base 16) to base 10\nAnswer: -140988","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:13 AM and 12:17 PM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrarrrrrsrsrrrs. Give prob of sequence ra.\nAnswer: 11\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 50\/(-100) + 11\/2 - -16841?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 7 = -t. Suppose -t*o = x - 1192, -5*x = 3*o - x - 1195. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7.11 - -7. Let x = 0.23 + n. Let l = -3.1 + 3. Is x equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10817 and 203.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -11, -316, 40689 in descending order.\nAnswer: 40689, 5, -11, -316","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 - -2. Let b = -3 - -1. Is (-248)\/b - a\/3 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 0 - 2 - (-13 + 5).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 (base 5) in base 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**5 + 100332*o**4 + 836464428*o**3 - 40323832128*o**2 + 484580475648*o.\nAnswer: 3*o*(o - 24)**2*(o + 16746)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -61, -1, -5, -2, 35, 4 in decreasing order.\nAnswer: 35, 4, -1, -2, -5, -61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 13523873 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -4*n - 0*j + 8207, -3 = -j. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 218340994, 873363977, 1965068948, 3493455907, 5458524854?\n\"Answer: 218340994*u**2 + u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the third derivative of 15*s**8\/112 - 59*s**7\/42 + 25*s**6\/8 - 25*s**5\/12 + 1490*s**2. Find p such that z(p) = 0.\nAnswer: 0, 5\/9, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -14\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**3 - 7*t**2 + 12*t - 12. Let z be u(-9). Let f be (-3)\/z*(-21)\/6. Let l = -0.09 - -5.09. What is the nearest to l in f, 0.2, -1\/2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b + 9. Suppose 50 = 49*f - 54*f. Let d be x(f). Which is smaller: -13\/8 or d?\nAnswer: -13\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -3*w**2 - 1. Let y be p(-1). Let f(o) = -o + 3. Let m be f(-4). Let h be (-4)\/14 + (-19)\/m. Sort y, 5, h in descending order.\nAnswer: 5, h, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the first derivative of 25*c**6\/24 + 7*c**5\/8 - 49*c**4\/32 - 37*c**3\/24 - c**2\/16 + c\/4 + 432. Solve u(f) = 0 for f.\nAnswer: -1, -1\/2, -2\/5, 1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 14\/21 + 2\/6. Suppose -2*b + 3 = -o. Let t(k) = -60001*k**3 + 2*k**2 - k + 2. Let i be t(b). What is i rounded to the nearest 100000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 163\/360 and -57\/9352.\nAnswer: 420840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4\/35 - -129\/35. Find the common denominator of -25\/41 and p.\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 2*h + 11. Does 23 divide s(12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor o - o**4 + 5\/2*o**2 + 1\/2*o**3 + 0.\nAnswer: -o*(o - 2)*(o + 1)*(2*o + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58511 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 - 4040121?\nAnswer: -4040111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the third derivative of -j**4\/12 - 2*j**2. Let w(d) be the third derivative of -5*d**4\/24 + 4*d**2. What is w(v(p))?\nAnswer: 10*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-3\/32)*w*(((w\/w**(-2\/21))\/w)\/w)\/w assuming w is positive.\nAnswer: w**(-671\/672)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -19a + -2?\nAnswer: -1a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -22 + 39. Suppose y = 2*g - 21. Let c(s) = 5*s**2 - 4*s - 1. What is the remainder when c(-3) is divided by g?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -2*s**2 + 4*s + 7. Let d(b) = -b**2 + 3*b + 6. Let i(n) = 3*d(n) - 2*q(n). Calculate the remainder when 18 is divided by i(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5439656 is divided by 175471?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes before 5:25 AM?\nAnswer: 8:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 10) + 82 + -65 + -29?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 170939 - 170945.00024. Let b = -10 + 4. Let v = q - b. What is v rounded to four dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8\/7 in -0.2, 0.5, -10?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2 - (-6)\/(-4))*20\/1. Suppose 3 = g, 4*g - 32 = -5*k + n. What is the smallest common multiple of k and 27?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1298 divide 418310516?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -7*g + 0*g + 13*g - g - 6*g. Let h(f) be the second derivative of -f**4\/12 - 29*f**3\/2 + 11*f. Calculate l(h(c)).\nAnswer: c**2 + 87*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 10, -4, 4.\nAnswer: -4, 2, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10887 + 10887 = -3*s, -10*u = 14*u + 3*s + 336 for u.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -7*p - 3. Let m be i(-3). What is the second derivative of 0*n + 13*n**4 - 3*n - m*n**4 wrt n?\nAnswer: -60*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25788 = 9*y - 6*y. Let t = y - -189187\/22. Find the common denominator of -103\/20 and t.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 202*m. Let x(t) = 8510*t**2 - 253*t - 253. Let h(j) = 202*j**2 - 6*j - 6. Let y(d) = -253*h(d) + 6*x(d). Determine y(n(l)).\nAnswer: -1876984*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**8*c**(-2\/11))**(-1\/54) assuming c is positive.\nAnswer: c**(-43\/297)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 180*k + 103*k - 104*k.\nAnswer: 179*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.49857565 + -0.00857492. Let g = -53.89 + 53.4. Let z = d + g. Round z to seven decimal places.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -2*x**2 - 6*x - 15. Let b(p) = -3*p**2 - 11*p - 29. Let t(v) = 6*b(v) - 11*y(v). Differentiate t(l) wrt l.\nAnswer: 8*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -31427 + 61756. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 346658?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4049?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in 2, 8, -3\/2, -1\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 220391755?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c + 68. Determine d(-27).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 3417424.868 to the nearest 100000.\nAnswer: 3400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 395 = 10*y. Let x = -27 - y. What is the highest common divisor of x and 130?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -823390, -1646336, -2469294, -3292270, -4115270, -4938300, -5761366?\n\"Answer: -j**3 - 822939*j - 450","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43850880.\nAnswer: 2, 3, 5, 23, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the third derivative of 0*f**4 + 0*f + 1\/20*f**5 + 7*f**2 + 0 + 0*f**3. Let a(k) = -2*k**2 + 3*k**2 + 0*k**2. Calculate a(i(w)).\nAnswer: 9*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.039, 0.4, 8\/543, 1 in descending order.\nAnswer: 1, 0.4, 8\/543, -0.039","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1001\/9 + 111. Suppose -6 = -4*k - 2. Which is bigger: q or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 774 + 978?\nAnswer: 1530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -78 divided by -26.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(75)*2)**2*6.\nAnswer: 1800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-12\/7))**(-5) assuming i is positive.\nAnswer: i**(60\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 404395.\nAnswer: 5, 31, 2609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 5*f = -121, 2*f - 50 = -k + f. Let y = -95 - -63. Let z = y + k. Calculate the greatest common factor of 210 and z.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.49683 - -0.10317. What is the biggest value in -12.7, -2\/5, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12517 to the power of 1\/3, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/((6\/2)\/3) + 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 511476.\nAnswer: -1\/127869","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6.2224 + -21.07.\nAnswer: -14.8476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**3 - 2*p**2 - p - 1. Let g be i(-2). Let w be g - (3 + -7 + 3). Factor 0*j + 0 + 2\/5*j**w.\nAnswer: 2*j**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (-4 - (-4 - -4))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -11*r - 13. Let h(g) = -141596*g. Determine h(k(i)).\nAnswer: 1557556*i + 1840748","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 + -9. Let x be (-3 - -1)*t\/18. Let i(d) = 2*d + 2. Let k be i(-2). What is the smallest value in k, x, -1\/10?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p = 5*p + 18. Calculate the least common multiple of 11 and p.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 285*f - 148*f - 106*f - 8*f**2 - 163*f + f**2 in the form i + d*f + y*f**2 and give d.\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 - 15314?\nAnswer: -15318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q + 3*c + 36, 3*c + 10 - 4 = 0. Suppose -4*v + 3*m = -108 - 27, -m = -2*v + 67. What is the remainder when v is divided by q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 3*b = -55, 8*i - 13*i = 3*b + 65. Suppose 0*u = 3*u + 24. Is i <= u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/6 of a minute in seconds?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 109, 220, 331, 442, 553, 664?\n\"Answer: 111*w - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvzyxzyyzysyzxzzy. Give prob of picking 2 v, 1 x, and 1 s.\nAnswer: 1\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/6*(-62)\/(-31)*21?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2021 - 12?\nAnswer: -2110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.43, 3\/4, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1484.1 rounded to the nearest ten?\nAnswer: -1480","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16 - 14. Suppose 2*u = -s*u. Let t(d) = 11 - d**3 - d**2 - 5 + 2*d**2 + d - 8. Calculate t(u).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15 + 13 - 42 + 14 - 1298*j)*(-3 - 4 + 4).\nAnswer: 3894*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2349 and 45414?\nAnswer: 136242","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11 + 7. Let b = -104 - -113. Suppose -2*c + 17 = b. Sort -3, 5, o, c in descending order.\nAnswer: 5, c, -3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - i + 339 = -3*q, -3 = i. Is q a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**2 - o + 3. Let t be q(0). Let n(l) = l - 3. Let m be n(7). Suppose z = 3*z + m. Sort 4, z, t in increasing order.\nAnswer: z, t, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7.8 + -7. Let l = 4 - m. Let v = l - 3.223. Round v to 2 dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -16*b + 1111. Let d be n(69). Let a(m) = m**3 - 8*m**2 + 6*m - 30. Give a(d).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**2 - 5*o. Let u = -32 + 23. Let a = u + 5. What is w(a)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 8*j + 3. Suppose 4*q + 3*v + 8 = 7*v, 5*q + 4*v - 8 = 0. Let g(h) = h**3 + h**2 + 2*h + 6. Let c be g(q). What is the tens digit of r(c)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Divide 48 by 48.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 240.65 - 240. What is the third biggest value in -3, 1, g, 5\/12?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1\/4, -3\/4, -1.2, 2, 0.1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h, 1 w, and 1 r when four letters picked without replacement from wrhhwhw.\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2355903.56808 and -0.03.\nAnswer: 2355903.53808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*j**2 + 2*j**2 + 3*j**2 - 9*j**2.\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -933\/10 - -459\/5. Let x = -12 - -7. Sort x, -1, a, 0.1.\nAnswer: x, a, -1, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**3 + 4*z**2 + 5*z. Let n = -425 - -397. Let g be -11 + n\/(-4) + 9. Determine i(g).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -120 - -123. Solve -z - d = -4*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 11*a**2 + 2*a + 5. Let v be t(-2). What is the units digit of (-42)\/(3\/v*-3)*2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 719 a factor of 526996460?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((3 - 4)\/1)\/(7 - 8). Let o(a) = a**3 - 2*a**2 - 3*a + 4. Let q be o(t). Solve 4*k - 2*j + 26 = -k, -3*k - 5*j + 3 = q for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18086108 to the power of 1\/3, to the nearest integer?\nAnswer: 262","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-11)*c)\/c**(-3))\/(c\/(c\/c**(-1\/2)))**(1\/15) assuming c is positive.\nAnswer: c**(-209\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ex when two letters picked without replacement from {j: 1, x: 2, g: 1, e: 4, q: 3}?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 734, 1443, 2150, 2855, 3558, 4259, 4958?\n\"Answer: -k**2 + 712*k + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7396997 by 7396997.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1\/2)\/((-2)\/8). Let j = 0 - x. What is the remainder when 31 is divided by j*17*(-11)\/(-22)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 799748770 to the nearest integer?\nAnswer: 928","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 18*g - 135. Let j be l(33). Is 8 a factor of (-204)\/j + (-2560)\/(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(209)\/(sqrt(33)\/sqrt(3) + sqrt(11)) - (sqrt(95)\/sqrt(5))**2*5 - (sqrt(2736) + (-3*3*sqrt(2736) - sqrt(2736))).\nAnswer: -95 + 217*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 + (0 + -1 - 1). Let v = -10 - x. What is the units digit of (3\/(-2))\/(v\/12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/7*((-11)\/(-88))\/(3\/(-12)).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 45 - 4*b**2 + 13*b + b + b**3 - 19 + 24*b**2. What is the units digit of r(-19)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5 - 0 - 0 - (3 - 5). Let l(g) = -3 - 2*g**2 + 2*g + 1 + g**2 + n. Calculate l(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -2*y + 16. Let u be m(0). Suppose -19*k + 23*k = u. Solve -k*q - 2 = -3*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1711153 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/13, -9\/4, -1, 0, 6, 184, -6?\nAnswer: 184","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.67? (a) 5 (b) -0.2 (c) -4\/11 (d) 0 (e) -45348\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -29 + 15. Suppose 4*s = 5*j - 108, 3*s - 4 - 53 = -2*j. Calculate the lowest common multiple of 8\/(-10)*315\/z and j.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7*(-24)\/(-392)*7343?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -125 from -660239365.\nAnswer: -660239240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -113 - -563\/5. Let q be (-1*1 - (-21)\/7) + 1. Suppose h - q*h = -8. Which is the closest to t? (a) 0.1 (b) h (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -17 in -0.1, 0, 0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -26 - (-1008)\/18 - 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -295, -591, -887, -1183, -1479?\n\"Answer: -296*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 + -302133141?\nAnswer: -302133143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -327 + 331. Solve -3*m + 9 = 3*c, -2*c - i - 5 = -m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -868, -1791, -2782, -3841, -4968, -6163?\n\"Answer: -34*b**2 - 821*b - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 3*k - 4*l, 35*k - l = 34*k - 1. Solve 25*i - 3*j + 8 = 23*i, -k*i - 20 = -4*j for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the first derivative of -117*q**2 + 3. Let v be c(-5). Suppose 4*f - 1354 - v = 0. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25437769331 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 - 2 = 2*v, 2*s + 3*v = -5. Determine c, given that -4*c**5 - 2*c**3 + 6*c**s - 3*c**4 + 5*c**4 - 2*c**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2010112000 (base 3) to base 9\nAnswer: 63460","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -48, -96, -158, -240, -348, -488, -666?\nAnswer: -888","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eem when three letters picked without replacement from {m: 5, e: 9}?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -149 + 153. Is (v + 23310\/12)*2 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -2\/7 (b) 0.01 (c) 10 (d) 138 (e) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m + 200 = -2*m. Suppose 2*l - 5*l = -24. Calculate the greatest common factor of l and m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.083 + -28.083. Let t = b - -32. What is the second biggest value in -5\/4, t, 2, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 105385285?\nAnswer: 5, 21077057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -74637, -74631, -74625, -74619?\nAnswer: -74613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 x, 1 i, and 1 l when four letters picked without replacement from xxwlixixxixax.\nAnswer: 21\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 5 = 2*k, -b + 105 = -5*k. Let q = b + -100. Suppose 4\/9*t**4 - 4\/9*t**2 + q - 2\/9*t + 0*t**3 + 2\/9*t**5 = 0. What is t?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2 - -1) + (-2)\/(-2). Suppose z*s + 2 + 1 = a, s + a = -7. Let f = 38 - 36. Put f, 3, s in decreasing order.\nAnswer: 3, f, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2184 and 264.\nAnswer: 24024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 58778 divided by -84?\nAnswer: -29389\/42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3136 and 111090?\nAnswer: 24884160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -180 = 9*q - 117 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 18 - 12\/(124560\/186532) and 71\/51.\nAnswer: 44115","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in seven quarters of a micrometer?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-22)\/4*6*(-896)\/(-168). Is (w\/24)\/((-2)\/489) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-285)\/(-10))\/(-19)*-2614. Round p to the nearest one hundred.\nAnswer: 3900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 177 - 172. Let q = 0.8 - 0.3. Put q, -1\/3, r in increasing order.\nAnswer: -1\/3, q, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.2 - 0.2. Let l = -1 - -4. Let j = -3\/34 + -4\/51. Which is the closest to f? (a) 2\/15 (b) j (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 64023.492 rounded to the nearest ten?\nAnswer: 64020","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 299*g - 18. Is t(5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*y - 2*y. Suppose y = -4*x + 3*x + 2. Suppose 0 = -0*o - o + 5*j + 819985, -x*j - 3279994 = -4*o. Round o to the nearest 100000.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y**4\/5 + 2016*y**3 - 6613812*y**2\/5 + 328382424*y\/5 = 0.\nAnswer: 0, 54, 1233","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 17, -6, 1, -4, -3463, 5 in descending order.\nAnswer: 17, 5, 1, -4, -5, -6, -3463","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -25, -50, -75, -100, -125?\n\"Answer: -25*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 - 104?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -14099791 < -14099800?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 + -11565?\nAnswer: -11565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*b - 6*b - 17*b = -351903. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 93 - 247 + 154 - 459*k - 1305*k**4 wrt k.\nAnswer: -15660*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 74, 58, 46, 44, 58, 94, 158?\nAnswer: 256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 163 (base 11) to base 8.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -6*z. Let s(p) = 3*p**2 - p**2 + z*p**2 - 3*p**2. Let f(m) = m**2 + 3*m. Let x(l) = 4*l**2 + 13*l. Let o(a) = -26*f(a) + 6*x(a). What is o(s(g))?\nAnswer: -2*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes after 9:55 AM?\nAnswer: 12:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.82805 and 0.597.\nAnswer: 1.09134585","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -3214*c + 53. Let z be j(-13). Suppose -4*a + 33456 = -4*b, 5*a - 4*b = -2*b + z. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3977, 7956, 11935?\nAnswer: 15914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19559 is divided by 55.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*b + 45 = -39*b - 34*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) 0.03 (c) 78895 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 75 + 120 = 5*r, -w + 45 = 4*r. Let z = w + -34. Suppose 5*m - 7 = -3*x - x, 0 = z*x - 3*m - 39. Is 8 greater than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(-2)*v*v**(2\/49)\/v)\/(v**36*v)**(-5\/2) assuming v is positive.\nAnswer: v**(8971\/98)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -12, 3, -5919, 12, -4, 4 in descending order.\nAnswer: 12, 4, 3, -2, -4, -12, -5919","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 193925.7 to the nearest 100.\nAnswer: 193900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*m**4 + 35*m**3 - 80*m**2 + 60*m = 0. What is m?\nAnswer: 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12863?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y + 4 - 16. Suppose y*g - 6 = 2*m, 3*g - 2*m = 8*g - 10. Does 12 divide g + (18 - -2) + 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -8, -1\/2, 0.2, 2, -223.3, -5?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3653 is divided by 78?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/4 - ((-2)\/4 - -1). Solve d = 5*s - 16 - 4 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the second derivative of -y**7\/42 + 73*y**5\/5 + 7*y**3\/3 - 25*y**2\/2 + 1631*y. What is the second derivative of r(g) wrt g?\nAnswer: -20*g**3 + 1752*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 4 = -r - 2, -5*r = 2*i - 1. Let h(m) = m**2 + m + 1. Give h(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -29*l - 1. Give g(1).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2054579 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are -7182 and -7182 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -41674, -41678, -41684, -41692?\nAnswer: -41702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m - 4*m = 1278. Let z = -4682\/11 + m. Let s = -37385 - -37383. Which is the closest to z? (a) s (b) -3\/2 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -25438 (base 9) to base 2.\nAnswer: -100001011100110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5849 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18 + 18 + 17*x)*(-4 + 1 + 8).\nAnswer: 85*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 697 is divided by 140?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 164144 + -14?\nAnswer: 164130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**2. Let a(u) = -518*u. Give h(a(c)).\nAnswer: 268324*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 26010 and 811512?\nAnswer: 4057560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2834047730 and 7.62.\nAnswer: -2834047722.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-3)\/(-12))\/((-6)\/(-4)). Let p(t) be the second derivative of 0 + o*t**4 + 1\/2*t**2 + 2*t + 0*t**3. Differentiate p(i) with respect to i.\nAnswer: 4*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 57780 and 1010508.\nAnswer: 1284","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Simplify u*u**(1\/5)*u*u\/u**3*(u**(-2\/3))**(-14)*(u\/(u**(-1\/5)\/u)*u\/((u*u**(-6))\/u))**(19\/3) assuming u is positive.\nAnswer: u**(339\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aaag when four letters picked without replacement from {g: 3, a: 11}.\nAnswer: 45\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 4 + 4*v - 7*v**2 + 4*v**3 - 3*v**3 + 0*v**2. Let c be k(6). Which is bigger: c or -9?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 2*b = n - 20, -2*n = -2*b. Suppose 2*u = t - n*t + 16, 0 = -t - 3. Suppose 5*k - 18 = -4*s, -k = k - s - 2. Solve -4*f - u - k = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -3*(3915500\/(-410) - 1\/1*-7)?\nAnswer: 3, 3181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**2 + 42*s - 81. Let d be g(2). Which is the third smallest value? (a) d (b) -9 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 70 = 80. Let m = w - 27. Solve -m*r = -7 - 8 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 29213 + 31038 = -5*y, -2*h + 2*y + 120502 = 0. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 5*b = -0*t + 8, 2*t - 4 = b. Suppose -5 + t = -3*p. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0012931 rounded to four decimal places?\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4.05 + -4. Let z = t - 0.06. Let d = z + 0.01. Which is the nearest to d? (a) -3\/4 (b) -0.2 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -2*p**3 - 2*p**2 + 10*p - 2. Let y be k(3). Let l be (1 + y\/(-12))\/((-20)\/(-30)). Solve -4*d = 5*u + 3, u - l - 5 = -5*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 1 + 17 + -16 + -3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from ozoouuoszlsoou.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -z - z**3 - 4*z**3 + 0*z**3 - 2*z**4 to the form d*z**2 + l*z**3 + o*z + u*z**4 + y and give l.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -12867 (base 11) in base 9?\nAnswer: -27142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1066*s = 1091*s + 125 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3 - 9)\/((-8)\/(-12)). What are the prime factors of 18\/12*(-5538)\/l?\nAnswer: 13, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45091 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1449 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(18) + 0 + sqrt(2)*-4 + 5.\nAnswer: -sqrt(2) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 2*f. Let q(m) be the second derivative of 0 + 2*m - 7\/6*m**3 + 0*m**2. Give q(i(c)).\nAnswer: -14*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p = 4*g - 15 - 1, -g + 4 = -2*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.8 + -0.797. Let q = l - -0.587. Let a = q - 0.09. What is the third smallest value in a, -4\/3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/4 + 1048\/32. Let j = v + -14. What are the prime factors of j?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/1232 and 29\/4?\nAnswer: 1232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1495 and 1859.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 107*k**2 + 2 + 8 + 3 - 13.\nAnswer: 107*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -115 - -246. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 885, 1794, 2703, 3612, 4521, 5430?\nAnswer: 6339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a kilometer in meters?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(500)*-3*4)**2 + -3 + (1*sqrt(500))**2 + sqrt(500).\nAnswer: 10*sqrt(5) + 72497","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-1)*((-13)\/(-6) - ((15 - -31) + -42)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40633020.\nAnswer: 2, 3, 5, 19, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38774 = -1236*n - 56114 - 10082 - 7506 for n.\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*n + 12 + 66 - 12 = 0. Let b = 640\/9 - 71. What is the nearest to -0.2 in b, n, 2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5054 or -33?\nAnswer: -5054","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = j - 3*j. Let f be (j + -1 + 1)\/(-61 - -60). Suppose -4 - 2 = -3*n. Solve 0 = -2*q - f*q + n for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddnnndjnyndnnjnydddy. What is prob of picking 1 j, 1 y, and 2 d?\nAnswer: 42\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2971, 2884, 2751, 2572?\nAnswer: 2347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2580240585?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 2 a when three letters picked without replacement from {a: 2, v: 4, o: 1, f: 6}.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-3))\/((-8)\/768*-8).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1dd (base 15) to base 14.\nAnswer: 22d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -4*s. Solve -28 = h - 5*x, s*h + h - 2*x + 13 = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 18.33728ms?\nAnswer: 0.01833728","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 1 + 8)*(-5 + 5 + 7*s)*(-3*s**4 + 5*s - 5*s).\nAnswer: -315*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -4, -5, -3, 1040, 3 in ascending order.\nAnswer: -5, -4, -3, 3, 4, 1040","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**4\/9 - 89194*l**3 - 26850181312*l**2\/3 - 80549741192*l\/9.\nAnswer: -2*l*(l + 1)*(l + 200686)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15259 - -15954. Does 22 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1979, -1957, -1919, -1865?\nAnswer: -1795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6*(6\/(-8))\/3*(-15336)\/(-852)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -0.3, 0.3, 4, -5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the first derivative of -p**5\/20 + 3*p**4\/8 + p**3\/12 - 3*p**2\/4 + 1. Factor t(z).\nAnswer: -z*(z - 6)*(z - 1)*(z + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 + 0)\/(-3) + 1. Let z be -20 + (7\/(-42))\/(537\/(-134) - -4). Let -z - 5*m - w*m**2 = 0. Calculate m.\nAnswer: -7, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1003388201 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, s: 2, y: 1}. What is prob of picking 2 s and 2 u?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/(-30))\/(42\/(20580\/(-175))).\nAnswer: -7\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 160 - 165. Sort -1, w, -12, 4 in increasing order.\nAnswer: -12, w, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*b = 20 + 4. What is the nearest to 0.1 in 1\/13, 0.3, b?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -2*l. Let b(h) = 4*h - 2650. Calculate b(a(g)).\nAnswer: -8*g - 2650","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) 1\/3 (c) 25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -6589, -6596, -6603, -6610, -6617, -6624?\n\"Answer: -7*g - 6582","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3 - -2)*6\/4. Let c = 4 - 2. Let g = 602.71 + -607.71. Sort -0.5, g, c, p.\nAnswer: g, p, -0.5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 662678?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 47898 and 216.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1*(-2)\/4 - (-30)\/20. Differentiate -2*o**2 + 2*o**2 - 21 + 0*o**f + o**4 with respect to o.\nAnswer: 4*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 4.452765l?\nAnswer: 4452.765","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 4*q - 8. Let s be z(11). Let d be 3\/(-9) + 3\/s. Which is the closest to -1? (a) 2\/15 (b) -1\/11 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4459461*i**2 - 485*i - 3405?\nAnswer: 8918922","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the third derivative of 4*o**5\/15 - 19*o**4\/24 - 1193*o**3\/6 + 45*o**2 - 14*o. What is the derivative of h(u) wrt u?\nAnswer: 32*u - 19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2\/43, 9, -3.\nAnswer: -4, -3, -2\/43, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 5*l - 356. Calculate u(13).\nAnswer: -291","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - (1 - (-1 - 7) - 16)) + -8 - 69.\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5880?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25990?\nAnswer: 2, 5, 23, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 + 1a669163?\nAnswer: 1a669161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2\/7 (b) -11 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100 = 4*k - x, -4*x - 36 = 5*k + 110. Is -25 at least as big as k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 + 6.4. Let f be 13\/(-39)*16\/2*(5 - -7). Sort f, j, 1\/4 in descending order.\nAnswer: j, 1\/4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the third derivative of 7*r**2 + 0*r**6 + 0*r**3 + 0*r**5 + 0*r**7 - 1\/168*r**8 + 0 + 0*r + 9\/8*r**4. Find the second derivative of p(a) wrt a.\nAnswer: -40*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -56, -61, -70, -83, -100, -121?\n\"Answer: -2*r**2 + r - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -127 - -226. Suppose 13 = y + j. Let r = y - -158. Does 11 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -527 + 13*x**3 + 5*x**2 + 678 - 174 - x to c + n*x + g*x**2 + b*x**3 and give g.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -123 - -4267?\nAnswer: 4144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10643 = -347*f - 100*f + 4108 for f.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 729847?\nAnswer: 19, 107, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v**3 - 1047*v**2 + 16980*v - 15936 = 0 for v.\nAnswer: 1, 16, 332","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 130685 is divided by 189?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9840, -19549, -29260, -38973?\nAnswer: -48688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1060, 2117, 3170, 4219, 5264, 6305?\nAnswer: 7342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 t when two letters picked without replacement from iftiitcif.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47 = 3*s + x, 37 = 2*s + s - x. Let j be 228\/s - 2\/7. Let o be (-17)\/(-4) + (-4)\/j. Solve 0 = 3*h - 7*h - o for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, s: 2, r: 5, i: 1}. Give prob of picking 1 o and 2 s.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5282700 divided by -440225.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*a*w**3 - 2*a - w**6 - w**3 + 50*w**2 wrt w?\nAnswer: 18*a - 120*w**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -46628, -46627, -46626, -46625, -46624?\n\"Answer: v - 46629","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0\/(448\/(-8)))\/(-2). Let f = 27 - 15. What is the closest to p in 4, 2, 5, f?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - 4*y = -52, -30*f = -29*f - 4*y + 17 + 32 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 7*t**3 - 3*t**2 - 16*t - 5. What is the hundreds digit of n(5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 55924000 and 10000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6099 to the power of 1\/3, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-1)\/6)\/(((-170)\/64725)\/17). Let m = 1090 - v. What is the common denominator of 27\/20 and m?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*b - 3*b - 9*b - 11*b.\nAnswer: -19*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -207*q - 190*q - 322*q + 3 - 56*q - 40*q + 2*q**2 in the form s + g*q**2 + h*q and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*u + 3496*u**4 - 6*u**2 - 6985*u**4 - 2*u**3 + 3491*u**4 - 4*u**3 + 5*u**3 + 8 to the form t*u + f + a*u**2 + o*u**4 + s*u**3 and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 860 = -5*h. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1086.755 - -1087. Which is smaller: 0 or m?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 - -7. Let j = -15 + 12. Sort 3, j, k in decreasing order.\nAnswer: k, 3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4941212656*r - 4941212660*r + 9882425321*r.\nAnswer: 5*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, -112, 0.213561?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12365*k**5 - 12*k**2 - 2*k - 21 wrt k.\nAnswer: -741900*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.3 - -0.7. Let q = 27 + -188\/7. Which is the third biggest value? (a) -2 (b) x (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9*i**3*u**2 - i**3*x - 27*i**2*u - 4*i**2*x - 7*i*u**3 - 105*u**3*x - u*x + 6*x wrt u?\nAnswer: -18*i**3 - 42*i*u - 630*u*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/3, 0.5, -2, 5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - 14 = -2*m, g - 565 + 513 = -5*m for m.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -50150 divided by -10030?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -138*j**3 + 2*j**2 - 2*j - 2. Let f be p(-2). Suppose -3*c = -f - 77. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 313, 315, 317?\n\"Answer: 2*s + 311","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 - 0.7. Suppose 2*n - 18 = -n. Suppose -3*l = -l + n. What is the smallest value in l, o, 0.4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -660*j + 657*j - 2*m = 32, -2*j = 17*m + 431 - 65 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l*l**(2\/15))\/l*l)\/l**(1\/2)*(l**(-1\/2))**(-17)*((l\/l**(-4\/3))\/l**(-3))\/(l*l\/l**(-1))**(-2\/13) assuming l is positive.\nAnswer: l**(3106\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 382*y = 387*y - 20, 0 = 3*b - y - 62. Let m(d) = d**2 - 21*d - 10. What is m(b)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.34 (b) 0 (c) -2\/7 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3645 and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m\/(m\/(m*m\/m**(6\/5)))))**(3\/26) assuming m is positive.\nAnswer: m**(3\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 3718?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ihicgiggqq. What is prob of picking 1 g and 2 i?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2363*w + 1247?\nAnswer: -2363","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*b**3*j*x - 35*b**3*x**2 - 2*b**2*j**2*x + 11*b*j**2*x + 2*j**2*x**2 - 3*x**2 wrt x.\nAnswer: -70*b**3 + 4*j**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -45, -26, 35, 138, 283, 470, 699?\nAnswer: 970","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 2*k**2 - 4 + k**2 + (-24*k + 36*k - 38*k)*(1 - k - 1) in the form b + t*k**2 + g*k and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the second derivative of -p**5\/5 - p**2\/2 - 2*p. Differentiate w(m) wrt m.\nAnswer: -12*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, 407, 22, -2, 19 in descending order.\nAnswer: 407, 22, 19, 17, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/((-12)\/82) + ((-2697)\/(-58))\/93.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1060?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 158*v - 99 = 163*v + 12*s, 4*v - 4*s = 16 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 956601 a multiple of 1413?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - -2 - (3 + 0 + -7).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 164319150 and 1350?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2e06 (base 16) to base 6.\nAnswer: -130314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 140.2 - 15. Let z = r - 125.2004185. Round z to 5 decimal places.\nAnswer: -0.00042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -171 (base 13) in base 12?\nAnswer: -199","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5291 divided by -37.\nAnswer: -143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 163785 a multiple of 305?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = -3*j - 2*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o. Let b(g) be the third derivative of -1\/12*g**4 + 0*g**3 + 0*g - 4*g**2 + 0. Determine 6*a(c) + 2*b(c).\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhhhhaahhii. Give prob of sequence aiia.\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - (4 + -12)) + 13 + -18.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -104 - -106. Let u be -3 - (4 - -1 - a). Let h(p) = -2*p - 9. Give h(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 91\/3 + 6\/(-18). Suppose 43 = -3*b + 268. What is the highest common factor of b and l?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -74\/3 - -361\/15. Let v = -4.8 - 0.2. Let q = -76 + 75. What is the closest to -2 in q, v, s?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -7*w. Let y(d) = -d**2 - 6*d - 3. Suppose 0*a = -4*a - 20. Let s be y(a). Let f(t) = 0*t**2 - t**s - t**2. Determine f(l(x)).\nAnswer: -98*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vsv when three letters picked without replacement from sssvssvvvvssssss.\nAnswer: 11\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1670638*v**5*w - v*w + 38*v - 2*w + 3 wrt v?\nAnswer: 33412760*v**3*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*t + 43*t - 7*d - 11 - 12 = 0, 3*t - 8*d - 18 = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 613.7696 rounded to the nearest one thousand?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 25 * -83367.\nAnswer: -2084175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -274 - 56 = -5*w. Suppose 50*d + 45*d + 4*d = 2970. What is the highest common divisor of d and w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.348, -0.128, 2\/3, 0, -0.5 in increasing order.\nAnswer: -0.5, -0.348, -0.128, 0, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and -0.876768?\nAnswer: -4.38384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.2 + 0.4. Let u = -0.3 + z. Let p = -472\/5 - -94. What is the nearest to u in -1, p, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**0)**(1\/18)\/(i**(3\/4)*i**(1\/2)))**(-26))**(2\/19) assuming i is positive.\nAnswer: i**(65\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 - 3 = 3*n. Let q(x) = 2*x**2 - 2*x**2 + 3*x**2 - 3*x - 9 - 2*x**2. Give q(n).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 5, s: 2}. Give prob of sequence qq.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 12374 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 13*v**4 - v**2 + 5*v**2 - 4*v**4 wrt v?\nAnswer: 216*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(-3)*(1479\/34)\/(-29)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -18*c - 65. Let l be k(-3). Let x(u) = 11*u**2 + 12*u - 17. What are the prime factors of x(l)?\nAnswer: 2, 3, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -25 - (105 + -103 - 6)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -204, 5, -166 in increasing order.\nAnswer: -204, -166, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 - -1) + 3 + (-2 - -2). Suppose g - 9 = -2*n, -2*g + 0 = -n - o. Solve n*j + 2*f + 7 = 0, 4*f = 5*j + 2*f + 17 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -103*x**3 + 141*x**3 - 47*x**3.\nAnswer: -9*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 57*p - 139*p + 254*p**2 - 4 + 5*p - p**3 + 2 wrt p.\nAnswer: -6*p + 508","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1397400\/(-969))\/(-20) + (5 - (-291)\/(-57))?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 804 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = q - 2*q - s, -q - 3*s = 3. Let p be (q + 0)*(-3)\/(-2). Which is smaller: p or 10?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9655301 to the power of 1\/2, to the nearest integer?\nAnswer: 3107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 - -1a23?\nAnswer: 1a1c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 + -3. Let y(v) = -v**3 - 4*v**2 + 2*v + 3. Let i be y(-4). Let q = i + t. Do q and -4 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 84 - 79. Let x be (-7)\/4 - (-2)\/(-8). Let o be x\/(-12)*3*4. Solve y*i = o*i + 3 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(-7)*l*l\/l**(1\/7))\/(l**(-1\/4))**6 assuming l is positive.\nAnswer: l**(159\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5251837 and 6533.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -53 + 52. Let u(x) be the third derivative of -x**4\/24 + 22*x**2 - 2*x. Let p(i) = -16*i. Give j*p(l) + 6*u(l).\nAnswer: 10*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 - -3. Let a = -1.33207 - -0.93207. Let g be 4*(0 - 6\/8). What is the closest to 0 in c, g, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-16*h - 2*h - 18*h)*(-h + 5*h**3 + h) + 3128*h - 3128*h - 105*h**4 to a*h + k + n*h**3 + m*h**4 + f*h**2 and give m.\nAnswer: -285","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s**2 - 7800*s + 7796 = 0 for s.\nAnswer: 1, 1949","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 7\/4 - 3\/(-12). Suppose -o = p - 8. Let k = 7812 - 7808. Solve 2*y = o*y + k for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 223154 and -0.53?\nAnswer: -118271.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add together -218.8599 and 31106.\nAnswer: 30887.1401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r**4\/13 - 40*r**3\/13 - 90*r**2\/13 + 220*r\/13 + 272\/13 = 0. Calculate r.\nAnswer: -17, -4, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**3 + 6*w**2 - 5*w + 7. Let m be f(-7). Let n(d) = -d**2 - 9*d - 10. What is n(m)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13034, 12494, 11980, 11498, 11054, 10654?\nAnswer: 10304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 4*u - u - 5*u. Let p(a) = -11*a + 29*a - 16*a. Calculate m(p(c)).\nAnswer: -4*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the third derivative of 0*f**5 + 5\/6*f**3 - 20*f**2 + 0*f - 1\/24*f**6 + 5\/24*f**4 + 0. Let o(k) = -3*k**3 + 2*k + 2. Determine 5*o(p) - 2*x(p).\nAnswer: -5*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 138913 - 42312. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1856\/9, -2, 3, 0, -5 in descending order.\nAnswer: 1856\/9, 3, 0, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -17 (base 13) to base 15.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m + 74 - 66, 3*z + 2*m - 79 = 0. Solve 27*b = -164 - z for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.2 (b) -4\/7 (c) -4 (d) -9 (e) -117 (f) -12.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (6\/8)\/((-2)\/24). Let j(o) = -o**2 - 12*o + 2. What is the remainder when 113 is divided by j(k)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the second derivative of g**9\/252 - g**5\/15 - 3*g**2 + 7*g. Let n(q) be the first derivative of d(q). What is the third derivative of n(j) wrt j?\nAnswer: 240*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 28359 and 2277.\nAnswer: 311949","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the first derivative of a**4\/4 - 5*a**3\/3 + 3*a**2\/2 - 3*a + 19. Let n be i(4). Let p(q) = q**2 + 7*q + 2. Determine p(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + 6 + (9 - -2) + -5 + -1.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -10*((-2 - -2) + -1). Let k be 4\/f - (-36572)\/20. Let b = 5420\/3 - k. Find the common denominator of -48\/5 and b.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**3 - 5*f**2 + 15*f - 33. What is the remainder when 18 is divided by y(4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.6 times -0.5\nAnswer: -0.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 - 0)\/((-1)\/4). Solve -g**3 + 2*g**3 - p*g**4 + 3*g**4 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -261 - -315. What is the least common multiple of c and 36?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 3*t + 24 = 3*w, 4*t - 61 = -5*w. Let n be (-10)\/(-15)*w\/2. Solve -n*k + 20 = 5 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1744\/(-5450))\/(((-1)\/(-2))\/((-25)\/10))\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20, 36, 54, 74, 96, 120, 146?\nAnswer: 174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*h**3*i**3 - 9*h**3*i**2 - 3*h**3*i + 113*h**3 wrt i?\nAnswer: -18*h**3*i - 18*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6941356?\nAnswer: 2, 1735339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12754, -50981, -114554, -203359, -317282?\nAnswer: -456209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:25 PM and 11:57 PM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 5*l + 28, -5*l + 68 = 5*d - 3*l. Let a = -8 + d. Suppose 25 = -5*y, -3*w + a*w - 3*y - 19 = 0. What is the second smallest value in -3, w, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*s**2 - 321*s + 321*s + 1 as a*s + v + p*s**2 and give p.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 475 a factor of 29218102?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 139 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q + 1. Suppose 2*z + 2*z - 12 = 0. Suppose 3*p + 9 = -0*p - x, -5 = -2*p + z*x. List the prime factors of a(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*d + 52*d + 10*d - 6132 = -796*d for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -2*x - 8. Suppose -6*s + s + 25 = 0. Suppose b - 14 = 2*a - s, -b = 5*a + x. List the prime factors of b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.206 minus 0.4519?\nAnswer: -10.6579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 2*u + 3. Suppose u = -3*c - 3. Is 47 - (1 - (c - -3)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 3, w: 4, y: 1}. Give prob of picking 2 s and 1 y.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2201 and 62?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1443 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -925580802 by 2.\nAnswer: -462790401","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.4 - 0.4. Let b = 134 + -136. What is the closest to s in 1\/5, b, 0?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 + -2. Let j = 67\/2 - 33. Which is bigger: j or o?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m + 2*p + 1 = 0, 3*m + 5*p - 1 - 1 = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-126)\/15*15\/(-6). Suppose -4*j - 20 = 4*g, 7*g - 3*g + s = -5*j. Let t be j\/((-4)\/(-8)*1). Is t >= -4\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the second derivative of d**6\/30 - 337*d**4\/12 - 186*d**3 - 3*d**2\/2 - 65*d. Find the second derivative of i(y) wrt y.\nAnswer: 12*y**2 - 674","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5887554?\nAnswer: 2, 3, 79, 12421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -u + 10, 3*u = -2*n + 14 + 14. Suppose -2*c = 2*h + h - 6, 0 = -4*h - 2*c + u. Find the third derivative of 2*f**2 - f**2 + 3*f**4 + h*f**2 wrt f.\nAnswer: 72*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -20 + 17. Let v(g) = g**3 + 9*g**2 - 6*g - 10. Let l be v(-9). Let y = l + -50. Is d smaller than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -272638445, -272638442, -272638439, -272638436?\nAnswer: -272638433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*x**2 - 1048*x**3 - 6*x**2 - 2*x**2 + 3*x**2.\nAnswer: -1048*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -496*i + 259*i + 2081 + 526 = 0 for i.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**2 + 5*m + 2. Let n be l(-5). Let a = -2 + 2. Factor 0 + a*u + 1\/4*u**n + 1\/4*u**3.\nAnswer: u**2*(u + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 535 is divided by 262?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000446310686 rounded to seven dps?\nAnswer: 0.0000446","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 3*r - 34, 4*h - 56 = -4*r - 0*h. What is the remainder when 37 is divided by r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 364 = -17*z + 449 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.005 and 0.01.\nAnswer: 0.015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssss when four letters picked without replacement from rssrsrrrrrrrrrssrss?\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.157929 centuries in decades?\nAnswer: 91.57929","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*o - 182 = 12*o. Let v = -21 + o. Solve 2*s + v*d - 1 = -5, 2*s + 4 = -3*d for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 45 - 40. Suppose -f*u + 88 = -2*c, -3*u = -2*u + 2*c - 20. What is the lowest common multiple of 10 and u?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 125.875 and -0.9665.\nAnswer: 124.9085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**37\/((i*i*i**(-16)*i)\/i)*i*i**(1\/54)\/i*(i*i*i**19*i)\/i)**20 assuming i is positive.\nAnswer: i**(38890\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -94 + 96. Suppose z = r*z - 669. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -727*t + 21 - 728*t + 1448*t + (-6*t + 3*t + 0*t)*(-1 + 0 - 1) - 8*t + 6*t + 5*t as a*t + w and give w.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/(-6) + -7)*-1*-2?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 2*k + 23, -2*k - 32 = -s - 3*s. Let n = k + 13. What is the greatest common divisor of n and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -121 (base 7) to base 2.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 4*p, 5*a - 5*p + 934 = 869 for a.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 424 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -148, -632, -1116, -1600, -2084?\nAnswer: -2568","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 776, 1658, 2654, 3818, 5204?\nAnswer: 6866","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 162*z**2 + 2*z + 79. Let f(q) = -q - 2. Let x(b) = -2*f(b) - h(b). Differentiate x(w) with respect to w.\nAnswer: -324*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ysb when three letters picked without replacement from ybyyysssys?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 25*(-2 + (-24)\/(-15)). Let q(d) = -d**3 - 11*d**2 - 10*d + 12. Let z be q(r). Calculate the remainder when 11 is divided by z\/((-3)\/(6\/(-4))).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**3 + 113*m**2 - 209*m - 660. What is the units digit of z(111)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h + 3*h = 3*u - 4, 4*h - 4 = 0. Suppose -6*p + 12 = -u*p. Suppose 4*z - 8 = p*z. Solve 8 = k - 3*f, 0 = k - z*f - 0 - 9 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + 2*l - 2 + l**4 - 2*l**4 + 1 + 7*l**2 to the form k*l**4 + a*l + u + j*l**3 + o*l**2 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t + 5. Let j(i) = 4*i - 7*i**2 - 5*i**2 - 2*i - i + i**3 - 3. Let r be j(12). Suppose 3*k - 3 = p, -r - 16 = 5*p - 5*k. What is l(p)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*t = -3385 - 423. What is the third derivative of 129*i + 109*i**3 + 4*i**2 - t*i + 143*i - 9 wrt i?\nAnswer: 654","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**3 + 86*b**2 - 880*b - 968.\nAnswer: -2*(b - 22)**2*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**3 - 2*j + 1. Let a be l(2). Suppose -g + 12 = -a*g. Do -3 and g have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -38.49 (b) 978 (c) 21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*t**5 - 34*t**4 + 188*t**3 - 380*t**2 + 322*t - 98 = 0. What is t?\nAnswer: 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-27)\/12*(-32)\/24. Let p(z) = -z**2 - 15*z - 11. Let u be p(-14). Solve -u + 1 = -2*d - 3*t, -t = -m*d - 8 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vqe when three letters picked without replacement from eeqqveeqeveeeqee?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 97201 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 96, 5, -5, -1 in decreasing order.\nAnswer: 96, 5, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3 and 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 504 is divided by 37.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 562*v**2 - 122638*v + 122638*v - v**2 + 0*v**2 + 3*v**2 + (v**2 - 2*v**2 + 0*v**2)*(-2 + 2 - 1).\nAnswer: 565*v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/4 + 1\/2. Let v(r) = 716 - 1398 + r + 697 - r**2 + r**3. Determine v(w).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 1151*a**3 + 2*a**2 - 15*a + 14. What is the lowest common multiple of 1024 and h(1)?\nAnswer: 9216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 365186386 to the power of 1\/6, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10381 and 7415?\nAnswer: 51905","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -558*l**3*z - 2*l**2*z - 146*l**2 + l*z - l wrt l.\nAnswer: -3348*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*k - 323*r + 256*r + 559, -r = -3*k + 91 for k.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-4)\/(-24))\/(1\/3)*1. Let s(y) be the first derivative of -2*y + 3 + w*y**2. Differentiate s(z) wrt z.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4770)\/360 - (-10 - 4)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 40774 - 40771. Solve -k = -5*i - l, 0 = 5*l + 2 + 8 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -5710, -5386, -4512, -2812, -10, 4170, 10004, 17768?\n\"Answer: 46*w**3 - w**2 + 5*w - 5760","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 80 and 11.9.\nAnswer: 952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 - -5. Let z = u - -3. Suppose z = 3*h - 31 - 29. Calculate the least common multiple of h and 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 + 6. Let v(t) = -t**3 + 7*t**2 - 8*t + 6. Let x be v(y). Solve 5*g + x = 6 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 292198661?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g - 3 = -b, 6*b + 9 = 7*b - 4*g for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 7 (b) 0.2 (c) 12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1737, 1643, 1557, 1485, 1433, 1407, 1413, 1457?\nAnswer: 1545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 21 - 29. Let y = f - -13. Let d be (y\/3 - 1)\/((-18)\/(-54)). Solve o + 7 = g, 3*o = -g - d*g + 9 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 6*g - 4. Let x(j) be the third derivative of -j**5\/60 + j**2. What is u(x(o))?\nAnswer: -6*o**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -228*j + 8791. Give o(39).\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -932 = -12*l - 437 - 423 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -3*f - 19. Let s be t(-9). Solve -2*i + 4 + 4 = 2*b, -5*i + b = -s for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 713696?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79 = 5*o - 3*l + 18, -5*o - 95 = -5*l. Let f be (-2)\/(-5) + 8\/o. What is f rounded to the nearest 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 102497.\nAnswer: 102497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/62 + 110490\/(-3937) + -15?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2592.761792 rounded to the nearest 10?\nAnswer: -2590","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20 and 1144?\nAnswer: 5720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:15 AM and 1:02 PM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-24)\/72)\/(3\/(-54)). Let m(s) = -5*s + 12. Let o(j) = 4*j - 11. Calculate b*o(i) + 5*m(i).\nAnswer: -i - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 17 = -5*z + 199, -3*x + 602 = z. Calculate the remainder when x is divided by 112.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the second derivative of -91*d**4\/4 + d**3\/3 - 66*d**2 - d - 330. Find the second derivative of z(y) wrt y.\nAnswer: -546","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 160 - 271. Let w = -52 - a. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -42192388*i**5 + 30682861*i**2 wrt i.\nAnswer: -2531543280*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 96.40312g to kilograms.\nAnswer: 0.09640312","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -223 (b) -1\/5461 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 36382 and 310?\nAnswer: 5639210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.1? (a) 1\/8 (b) -2\/9 (c) -1.802 (d) 4\/7 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-3))\/(6\/9).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*u + 18 - 13*u - 20*u**2 - 4*u + 25*u**2 to n + l*u + h*u**2 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -16979241 - -48779241. Round n to the nearest one million.\nAnswer: 32000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -177317, -353165, -529011, -704855, -880697, -1056537, -1232375?\n\"Answer: s**2 - 175851*s - 1467","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/3 + 136\/24. Let n be -22*(-309)\/(-1134) + m. Is n != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.31 + 5.71. Let n = g - 5. Let b = -13 - -10. Put n, b, -0.5 in descending order.\nAnswer: n, -0.5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 16 = 3*x. Suppose 2*y + 0*y - 5 = -5*q, -x*y + 21 = -q. Suppose -85 = -5*b - 0*b - y*d, 4*b - 70 = -3*d. What are the prime factors of b?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 240 and 112740?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 27940 - 27937. Sort 0.1, b, 4, -0.1304, 5 in increasing order.\nAnswer: -0.1304, 0.1, b, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes after 9:09 PM?\nAnswer: 7:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*p - 147 - 260 = 0. Is -73\/2 smaller than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -101 = -5*s - 3*z, -99 = 3*s - 8*s - 2*z. Let u = 0 - 4. Calculate the remainder when s is divided by 130\/18 + u\/18.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83*r = -43*r + 81*r + 3025 for r.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(750) - (sqrt(120)\/sqrt(4) - sqrt(30))*-3)\/((1*sqrt(72))\/sqrt(3)).\nAnswer: 15*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 2*c**3 - 13*c**2 + 2*c - 31. Calculate the remainder when 118 is divided by a(7).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s**5\/2 - 275*s**4\/2 - 5015*s**3\/2 - 31065*s**2\/2 + 2520*s + 211680 = 0.\nAnswer: -21, -8, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - 5*h = l - 12*h + 5*h + 99, 2*l + 5*h - 77 = 0 for l.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -77, 1, 6, -3, -13 in ascending order.\nAnswer: -77, -13, -3, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the first derivative of -c**4\/4 - c**3\/3 + c - 2962. Let j(g) = -3*g**3 + g**2 + 2*g + 2. What is j(v) + m(v)?\nAnswer: -4*v**3 + 2*v + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(1694)*-4)\/sqrt(7))**2.\nAnswer: 11616","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**3 + 168*z**2 + 6328*z + 54. Give n(-111).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 165, 337, 513, 693, 877, 1065, 1257?\n\"Answer: 2*o**2 + 166*o - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bhhhlhlbhlbhbhehhh. What is prob of picking 1 e and 2 l?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -5*f**3 - 7*f**3 + 7*f + 0*f**3 - 3 + 2*f**3 + 0*f. Let t(l) = -7*l**3 + 5*l - 2. Give -7*t(u) + 5*z(u).\nAnswer: -u**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1638 a factor of 71328348?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times 0.0475?\nAnswer: 0.02375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 42550787 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(6 - -2) + 261\/33.\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2324 and 644.\nAnswer: 53452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 5*j**2. Let x(g) be the first derivative of 0*g**2 + 7*g + 1\/2*g**3 - 4. Let d(m) be the first derivative of x(m). Give d(v(l)).\nAnswer: 15*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, x: 1, s: 1, z: 1, g: 3, j: 1}. Give prob of picking 1 z and 2 g.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -7*x + 166 + x - 172 - 5*x**2 + 4*x**2 + 2*x. Give m(-7).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 2 - (3 - (4 + -4))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 1\/3, 12 in ascending order.\nAnswer: 1\/3, 4, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes after 4:28 PM?\nAnswer: 8:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1220 is divided by 51?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 s when two letters picked without replacement from {g: 8, s: 5, p: 1, l: 5}?\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*v = 4*v + 11016. Calculate the common denominator of -95\/24 and v\/(-2079) + 2\/7.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 93 is divided by 17?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000784 rounded to six decimal places?\nAnswer: -0.000078","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000989231 to five dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**2 - p + 1. Let u be f(2). Let r be (-1)\/(4*u\/6). Which is the third biggest value? (a) 0.4 (b) 1 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 423\/399)\/(11772\/(-2289))?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 = -3*v - 4*i - 3, -2*i = -3*v - 10 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 664045?\nAnswer: 5, 59, 2251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 40*t - 477. Let x be m(12). Solve -4*r = -3*k + 11, -x*k + 20 = 5*r - 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**2 + 230*j - 3. Determine y(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3441 (b) 0.2 (c) 1 (d) 0.5 (e) -0.7 (f) 0 (g) 4\/9\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -18, -10, 96, 348, 794, 1482, 2460?\n\"Answer: 8*n**3 + n**2 - 51*n + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1653 - 1653 + 15*n + n**2)*(-6*n + n + 4*n).\nAnswer: -n**3 - 15*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50741.\nAnswer: 50741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.012 - -0.298. Let o = y - 0.278. Let u = 0.132 - o. Which is the closest to 0? (a) u (b) 1 (c) 5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**2 + 4*u + 3. Suppose -6 = -5*w + 4*w. Determine o(w).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 297 is divided by 25*6\/30 + 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1340994 to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4345 (base 14) to base 6.\nAnswer: -125453","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -67*z - 382. Determine b(-6).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(-2) - (-3)\/6. Let m = -72954 + 72955. What is the closest to m in -0.23, i, -4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -56.7 - -56.5. Let s = 0.46 + -0.26. Which is the second smallest value? (a) 0.3 (b) s (c) 13 (d) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**2\/5 - 234*t\/5 + 237\/5.\nAnswer: -3*(t - 1)*(t + 79)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 5, w: 5}. Give prob of picking 2 w.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 96036?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*z = -27*z + 720. What is the greatest common factor of z and 180?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-576)\/24*(-172)\/(-296). Which is greater: s or -14?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**1)**(-2\/95)*a\/(a*a*a**(5\/6))*a\/a**(-4\/5))\/(((a**(-6)*a)\/a)\/a**(-1\/3))**(-40) assuming a is positive.\nAnswer: a**(-43077\/190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = o - 3*s - 11, 5*o + 15*s = 11*s + 17 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -209\/2, -0.3, -92, 15?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 109517.\nAnswer: 109517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((5282\/(-114) - -38) + 8)\/(1\/27).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -3096943 and 14.808?\nAnswer: 3096957.808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v + 2*v - 1066000. What is v rounded to the nearest one hundred thousand?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -322, -327, -332, -337, -342, -347?\nAnswer: -352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*c**2 - 3*c**2 + 3*c**2 + c**2 - 1 + 1 - 3*c**2 - 2*c**2 + 4*c**2 + (c + 0*c + c)*(3 - 3 - 2*c) - 5*c**2 - 2*c**2 + 5*c**2.\nAnswer: -8*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes after 1:53 PM?\nAnswer: 12:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.047 * 6714\nAnswer: -315.558","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*s + 6*s - 2*s - 3*s - s + 3*s + (-2 + 2 - s)*(-2 + 4 - 1) + 5*s - 2*s + s + (4*s - 4*s - 4*s)*(-4 + 4 - 2).\nAnswer: 7*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r*r**(-1\/2)\/r)*r*r**(-3\/11)\/r)\/(((r\/(((r\/(r*r*r**9))\/r)\/r*r))\/r)\/(r*r**(3\/5))) assuming r is positive.\nAnswer: r**(-899\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*v**6 + 4*v**5 - 23*v**4 - 7*v**2 - 173*v + 1.\nAnswer: 720*v**3 + 240*v**2 - 552*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 - (8 + -3 + 0) - -15?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 2*h**2. Let d = -32\/7 + 71\/14. Let a(w) be the first derivative of 1 + 0*w - d*w**2. What is t(a(p))?\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 22362581 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 19*x**2 + 2 + x**3 - 3*x**3 - 18*x**2 + (2*x - x - 3*x)*(-2 - x**2 + 2) - 2 + 2*x**3 + 2.\nAnswer: 2*x**3 + x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -10 (b) 5 (c) 2 (d) 288.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -2*k + 1. Let l(p) = -5*p - 22. Let h(x) = -l(x) + 4*z(x). Let r be h(8). Which is the closest to r? (a) -29 (b) -1\/5 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3893113001 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 11801*p**3 + 10*p**2 + 5. Let d(a) = -27862160*a**3 - 23612*a**2 - 11806. Calculate -11806*b(w) - 5*d(w).\nAnswer: -11806*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60\/1160*29*((-360)\/(-12))\/(-15).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 41005799 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.4 + -0.1. Let h = 22 + -18. Sort h, 2\/3, s.\nAnswer: s, 2\/3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.6 + 3. Let w = u - -0.1. Put w, -1\/3, 2\/15 in increasing order.\nAnswer: -1\/3, 2\/15, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (0 - 4) + (-4 - -6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 16183 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the third derivative of -k**5\/60 - k**4\/8 + k**3\/3 + 2*k**2. Suppose 2*f + 11 - 3 = g, 3*f = -4*g - 12. Give d(f).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 72*k**3 - 2*k - 80*k**3 - k.\nAnswer: -8*k**3 - 3*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1734 times -286?\nAnswer: 495924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 96657682?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11141 and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hpllrrpllteppplt. What is prob of sequence hl?\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that l**5\/3 - l**4\/3 - 74*l**3 - 1928*l**2\/3 - 6304*l\/3 - 2432 = 0.\nAnswer: -6, -4, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1514*g + 3110*g + 116508 for g.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -474*x - 638 wrt x?\nAnswer: -474","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 + 14. What is the remainder when 21 is divided by 1*h\/1 - 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.08*0.0686329\nAnswer: 0.005490632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 24254281847 and -20?\nAnswer: 24254281867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the first derivative of -y**5\/120 + y**3 - 5*y**2 + 4. Let h(n) be the third derivative of z(n). Let b(c) = -30*c**2. Determine b(h(j)).\nAnswer: -30*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1228614 and 61074?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 4*d - 47 = 0, 186*l - d = 181*l + 32. Let r(k) = 3*k**2 - 19*k - 9. What is r(l)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1e (base 16) to base 14.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 8, -4, 1 in ascending order.\nAnswer: -4, 1, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18728 divided by 4682.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r*r**(1\/26))\/r)\/r**(6\/5))\/((r**(-1\/22)\/r)\/r)**(-8\/7) assuming r is positive.\nAnswer: r**(-25017\/10010)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 38407036 to the nearest integer?\nAnswer: 337","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 5*h - 407 - 273 = 0, b - 124 = -4*h. Suppose -4*z + b = -0*z. Suppose -p = 4*p - z. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ngvunugnnnnnnn. What is prob of picking 1 u and 1 g?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -48, -11, -2, -82, 2, -4, 4 in decreasing order.\nAnswer: 4, 2, -2, -4, -11, -48, -82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3 and 7023?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the first derivative of m**6\/3 + 2*m**5 + 9*m**4\/2 + 14*m**3\/3 + 2*m**2 + 2. Factor u(h).\nAnswer: 2*h*(h + 1)**3*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -230, -261, -302, -359, -438?\n\"Answer: -p**3 + p**2 - 27*p - 203","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -13453924*i**3 + 4 + 13453934*i**3 - 5 - 15*i + (-5*i**2 + 4*i**2 + 3*i**2)*(3*i - 6*i + 2*i) + 4*i**3 - 2*i**3 - 3*i**3.\nAnswer: 7*i**3 - 15*i - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 2011494008?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -24*v - 151. What is p(-6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t - 4*t - t)*(t + 3*t - 5*t + (5 - 4 - 2)*(0*t - 3*t + 2*t) - 1205 - 97*t + 1205).\nAnswer: 291*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 43 - 113. Let r be 1\/m - (-2 - (-80)\/35). Which is smaller: 1 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17815, 35520, 53177, 70762, 88251, 105620, 122845, 139902?\nAnswer: 156767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-476)\/35)\/(-17)*(-10)\/4. Put l, -4, -7 in ascending order.\nAnswer: -7, -4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 253 a factor of 15929?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53 = -3*t + 56. Let r be 1\/(1 + (-5)\/4). Let m(q) = q**2 + 5*q + 6. Calculate the remainder when m(r) is divided by t.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -3*c**3 + 0*c + 5 - 2*c + c - 3*c**2 + 4*c**3. Let r be q(3). Suppose 3*a + 9 = 0, 2*a - 474 + 164 = -r*i. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -31843 + 31843.0586995. Let o = -0.0589 + p. Round o to five decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes after 1:47 PM?\nAnswer: 4:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -4 + -6*-2*(sqrt(605) - -5*(-1 + sqrt(605)) - (sqrt(605) - (sqrt(605) - (sqrt(605) + -1 + 3)))))**2.\nAnswer: -122760*sqrt(5) + 2186649","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1528)\/(-573))\/(8\/18).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-8)\/(-6)*(-51)\/2. Let z be 13064\/207 - (-2)\/(-18). Let j = s + z. Is j a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**3 - 27*f**2 + 59*f + 61. Let g(y) = 6*y - 14. What is the least common multiple of g(4) and d(-29)?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 - -4a8?\nAnswer: 4b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/8 (b) 96\/19 (c) 0.8 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m = -m + 6*m + 56*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4812.\nAnswer: 2, 3, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the third derivative of z**5\/60 + z**4\/8 + z**3\/3 - 2*z**2. Let o be s(-3). Calculate the common denominator of o\/(-5) - 134\/(-110) and -31\/8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -15465, -15464, -15463, -15462, -15461?\n\"Answer: u - 15466","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11 - 7. Suppose 0 = 4*n + 3*u + 10388, -3*u - k = -16. Round n to the nearest one thousand.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5434 is divided by 2704.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the second derivative of -1\/8*g**4 + 1\/2*g**3 + 0*g**2 + 0*g**5 - 1\/360*g**6 + 6*g + 0. Let b(w) be the second derivative of i(w). What is b(-3)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 217 is divided by 160.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, e: 1, o: 4, u: 4, q: 5}. What is prob of picking 1 u and 1 o?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/8 + 13\/(-4). Let w be ((-1)\/3*d)\/1. Solve -p = w - 6 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/9, 1, 0.01, 8 in ascending order.\nAnswer: 0.01, 4\/9, 1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d + 7 - 31. Let x(o) = -5*o + 316. What is the remainder when x(57) is divided by d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1568\/(-6))\/(-2)*(6804\/294 + -24)?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuyyurryuuuurr. Give prob of sequence yuur.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 789330 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 266194.\nAnswer: 2, 133097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 1, 0.5, 69, 2\/9, 28, 8?\nAnswer: 69","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17843\/164 + -435\/4. Let g = -92\/205 + x. Which is smaller: -305 or g?\nAnswer: -305","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 125103949?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, w: 7}. What is prob of sequence tt?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1 times -6424\nAnswer: -6424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*d*h**2 - 6*d*h*u**2 - d*u**4 - 4*d + 30*h**2*u wrt u.\nAnswer: -12*d*h*u - 4*d*u**3 + 30*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(-11))\/c*c\/(c\/((c*c\/(c\/(c*c\/c**13*c))*c)\/c))*((c**(-2)*c)\/c)**22 assuming c is positive.\nAnswer: c**(-64)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 211507594 to the nearest one hundred thousand.\nAnswer: 211500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v**3\/2 + 5893*v**2\/2 + 2289330*v = 0 for v.\nAnswer: -695, 0, 6588","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10088746*d*l**2 - 2857620*d*l - 11*d wrt l.\nAnswer: 20177492*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -121*p + 34*p**2 + 110*p - 7 - 2*p**3 - 6 + 14 to i*p**3 + v*p + l*p**2 + q and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.58972ml to litres.\nAnswer: 0.00558972","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand n**2 + 0*n**2 + 0*n**2 + (-1 + 2*n + 1)*(-3*n + 2*n - 13*n).\nAnswer: -27*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -0.3, 1\/4, 2, -0.995?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 2*x**2 + 2*x**3 + 0*x**2 - x**3. Let l(r) be the third derivative of -r**5\/60 - 5*r**4\/24 + r**3\/2 - r**2. Let u be l(-6). Calculate a(u).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 876?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4587?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**3 + r**2 + 2*r - 3. Let j be a(3). Let d be j\/(-9) + (-2)\/(-6). Let q = 3 - d. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -2215, -9279, -21209, -38005, -59667?\n\"Answer: -2433*f**2 + 235*f - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -454.787 times -0.3?\nAnswer: 136.4361","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 2, a: 2, h: 1}. Give prob of picking 1 a and 3 t.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -41*v**2 + 44*v**2 - 1 + 0*v + 0*v + 4*v**3 as f*v**3 + h + a*v + o*v**2 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -77*p - 64. Let i(y) = 78*y + 63. Let u(k) = -4*h(k) - 5*i(k). Let v(r) = -246*r - 177. Let d(w) = -17*u(w) + 6*v(w). Is d(-10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w + 39 - 9. Let s(o) be the second derivative of 0 + 1\/9*o**3 - o + 26\/45*o**w + 8\/9*o**4 - 17\/15*o**5 - 1\/9*o**7 - 2\/3*o**2. Factor s(d).\nAnswer: -2*(d - 1)**4*(7*d + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5\/70 + 0 + (-9)\/63\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 40\/(-7)*1022\/(23944\/164)?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (-24 + 8) - -11.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 0, 14, 60, 156, 320, 570, 924?\n\"Answer: 3*t**3 - 2*t**2 - t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(55)\/sqrt(11) + 2.\nAnswer: -2 + sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the second derivative of -a**4\/12 + a**3 + 9*a**2 + 10*a + 3. Let x be m(8). Factor 10\/11*f**x + 0 + 4\/11*f + 2\/11*f**4 + 8\/11*f**3.\nAnswer: 2*f*(f + 1)**2*(f + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + 12 + 8 = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0481658 + -194897?\nAnswer: -194896.9518342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.08 - -4.08. Let g = 1 - n. Let o = -23.1 + 23. Sort 2, g, o.\nAnswer: g, o, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.15 and -1.73398.\nAnswer: 0.260097","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/5)\/(741\/(-285)).\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 173007085?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 + 1 = 3*j - 5*p, j + 3*p = -3. Let u = j - -3. What is the third smallest value in -4, u, -0.2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (6\/(-8))\/(7 - ((-147)\/(-12) + -5)). Factor 0 - 1\/4*h**g - 1\/4*h**2 + 0*h.\nAnswer: -h**2*(h + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23725439 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -91\/170 - -3\/85. Suppose -4*l = -19 + 3. Let r be l\/(-10) + 2\/30. Which is smaller: r or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 + 4. Suppose m - 2 = -2*p. Solve p = -4*c - 11 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-7))\/((-6)\/7).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 122*h - 12. Let a be f(5). Suppose -176 = -2*c + a. Suppose -3*m + c = -n, 0*m + 5*n = -5*m + 625. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**3 + 7*k**2 + 9*k - 9. What is u(7)?\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 3*g**3 - 4*g**2 + 3*g. Let c be r(2). Let j be c\/28 + (-21)\/(-6). Differentiate 9*u**2 + 5 - j - 1 + 13 wrt u.\nAnswer: 18*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 2*h + 2 - 2 + h**3 + 2 - 5*h**2 - 1. Let u = 4 - 6. Let r = u + 4. Give v(r).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v - 3*o = -20, 0 = 4*v - 8*v + 4*o - 8 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (0*1\/1)\/(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from doxocbbw. What is prob of picking 2 o, 1 w, and 1 d?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q + 3*q + q)*(-2 + 5 - 1)*(-q**3 + 1 - 1 + (q**3 - q**3 - 2*q**3)*(0 + 3 + 0) + q**3 - 2*q**3 - q**3).\nAnswer: -18*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 142 (base 5) to base 7.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 41528 by 358.\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1440*u = 1412*u + 168 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 - -8. Suppose 47 = 5*n - v*j, -j + 1 = -5*n + 39. Let k be (-8 - -4) + 30\/n. Which is the second biggest value? (a) k (b) -1 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*h - 209 + 29. Is h\/(-135) + (-1246)\/(-18) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y**4 + 6*y**3 - 17*y**2 - 6*y + 16 = 0.\nAnswer: -8, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 7, 12, 11, 4, -9?\n\"Answer: -3*h**2 + 14*h - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 827 - 832. What is the second biggest value in 106, r, -3\/7, -3\/2?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 825 = 5*a + 5*o, 7*a - 3*a = -2*o + 670. Suppose 2*g - 2*m = -g + 131, 4*g - a = 5*m. Suppose -50 = -5*i + g. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3282670 is divided by 276.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 2 + 1)*(31 + 33*r - 31)*((r - 5*r + 3*r)*(-1 - 1 + 0) + (1 + 3 - 1)*(-2*r + 2*r - 2*r)*(-1 + 3 + 3)) in the form y*r**2 + n*r + o and give y.\nAnswer: -2772","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:13 PM and 4:06 AM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 27414182 take away -1.82?\nAnswer: 27414183.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 22 - -7. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(456)\/((sqrt(48)*-2)\/sqrt(6)))\/(6*(sqrt(72)\/sqrt(3))\/sqrt(8)))**2.\nAnswer: 19\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d - 3. Let j be g(6). Solve 0 = -l + 2*m + j*m - 23, 0 = -3*l - 4*m + 7 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(396) + -2)*2 + -4)**2 - (1 + (sqrt(1100) - -6*((sqrt(1100) + -2 + sqrt(1100))**2 - sqrt(1100)))).\nAnswer: -24777 + 338*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 42 and 2289?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mnnnnmnmnnmm. Give prob of picking 2 n and 1 m.\nAnswer: 21\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3, -48, 16, 27, 4, 0 in increasing order.\nAnswer: -48, -3, 0, 1, 4, 16, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 11413 + -31941165.27?\nAnswer: -31929752.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 950\/(-45) + 2 - (90\/(-81) - -1)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -16*u - 3. Suppose -2*j - 51 = -5*v, -j + 5*v = 3 + 20. Let p be 8\/j + (-24)\/14. What are the prime factors of f(p)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j = -4*j + 12. Put 5, j, -1 in decreasing order.\nAnswer: 5, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*m - 5*c - 409 = 33*m, -319 = -3*m + 2*c. Put -4, -5, -8, m in increasing order.\nAnswer: -8, -5, -4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m = 3*p + 10 - 3, -m - 2*p - 8 = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 113672807 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2236*u = 408*u - 32*u - 91420 for u.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(2\/43)\/(d\/(d*d*(d**5*d)\/d)))\/(d\/(d**(-9)*d))**(-32))**39 assuming d is positive.\nAnswer: d**(493116\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 21*s**3 + 4*s**2 - 10*s + 2. Calculate the remainder when m(2) is divided by 43.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*h**2 + 8*h**2 - 22*h**2 + 9*h**2.\nAnswer: 5*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4\/51 (b) -244 (c) 3 (d) 0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-51)\/34)\/(6\/(-20))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.40907917 rounded to two dps?\nAnswer: 0.41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 117554 and 316.\nAnswer: 18573532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 + -227a623?\nAnswer: -227a621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let g = -34 - -37. Suppose 3*r - 2901 = 3*f, 3*r - f - 2904 = g*f. Let n = -99 + r. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**2. Suppose 2*m = 4*m - 6. Suppose 4*c = 3*i + 5*c - 11, i = c - m. Let k(r) = 4*r**i - 2*r**2 + 2*r**2. Determine j(k(g)).\nAnswer: 16*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 349920 divided by -540\nAnswer: -648","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/5 + 5516\/140. Calculate the greatest common divisor of 1885 and g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 120525.81 milliseconds?\nAnswer: 2.0087635","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 5\/8 of a kilometer?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4925, 3 in increasing order.\nAnswer: 1, 3, 4925","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 650?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 6*h**3 + 2*h**2 + 27*h + 2. Let q(m) = -11*m**3 - 4*m**2 - 54*m - 4. Give -7*o(g) - 4*q(g).\nAnswer: 2*g**3 + 2*g**2 + 27*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 137 and 4.\nAnswer: 548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 239 divide 39068291?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 865246231?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the third derivative of u**7\/189 + u**6\/270 - 13*u**5\/270 + u**4\/18 - 120*u**2. Suppose b(p) = 0. Calculate p.\nAnswer: -2, 0, 3\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4.5328 + 1.4.\nAnswer: -3.1328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 180285 and 72114.\nAnswer: 360570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2301.7582 + -2301. What is r rounded to one decimal place?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 2*k + 666, 2*q - 299 = 5*k + 373. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-z + z**2 - 2*z**2 + 2*z**2)*(-33*z + 130*z + 117*z + (0*z + 0*z - z)*(3 - 1 - 3)) to the form w*z**3 + h*z + u*z**2 + g and give u.\nAnswer: -215","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add -1623 and -36392436.\nAnswer: -36394059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1531, -6159, -13861, -24631, -38463?\nAnswer: -55351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 436 - 104 = 4*k. What is the tens digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((4\/3)\/(-2))\/((-40)\/(-60)). Which is greater: z or -10\/71?\nAnswer: -10\/71","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 350480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-3055)\/4230*(-66)\/26\nAnswer: 11\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*r**2 + r**3 + 4*r**2 + (1 - 1 - 5*r)*(r**2 - 2*r**2 + 0*r**2) + 3*r**3 + 0*r**3 - r**3 to the form o*r**3 + s*r**2 + y + b*r and give o.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3762043 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2029, -2034, -2041, -2050, -2061, -2074, -2089?\n\"Answer: -z**2 - 2*z - 2026","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from witwbzww. Give prob of sequence zw.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 237654 and 6.\nAnswer: 237654","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 3*k = 0. Suppose -8*w + 70 = -w. Suppose -g - g + w = 0. Solve 5*v + k = g for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 117226737 to the power of 1\/2, to the nearest integer?\nAnswer: 10827","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 623220 divided by 10?\nAnswer: 62322","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -78 + 37. Let z = 55.5 + p. Let d = z - -0.3. What is d rounded to 0 decimal places?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q + 3*q + 1 + 0*q)*(7 + 0 - 1)*(1 - 6 + 3)*(-1 + 0 + 2)*(-1 + 6 - 4 + (15 + 3 + 1)*(4 - 5 - 2) - 8 + 2 + 3).\nAnswer: 1416*q + 708","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 2 - 8 - 15*s + 2. Let g(p) = 53*p - 18. Let k be g(1). Let f(m) = 15*m + 13*m**2 - k*m + 20*m - 12*m**2. Give z(f(x)).\nAnswer: -15*x**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1157\/10332 + 1\/1148. Put -6, c, -3, 1 in descending order.\nAnswer: 1, c, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 801 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.8 times 294853?\nAnswer: -235882.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 0 = -g. Let f = g + -3. Solve z + 3*z + 3*n = 4, -4*n - 24 = -f*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6893\/11 - -626. Let p = u - 34\/33. Which is the nearest to 1? (a) 47 (b) p (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2458 + 9008. List the prime factors of p.\nAnswer: 2, 5, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:09 PM and 2:14 AM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -2*p + 112. List the prime factors of 4\/8 - p\/(-8).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 3085194389?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*b**2 - 21*b**2 + 5*b**3 + 44*b**2.\nAnswer: 5*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, i: 5, l: 3, y: 1, r: 2}. Give prob of picking 1 l, 1 r, and 1 i.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3\/4 (b) -3 (c) -2\/43 (d) -0.4 (e) -1\/4 (f) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -3*n - 426, 3*n = -134*z + 131*z - 432. Is -146 at most n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 63*w**3 - 234*w**3 + 11 + 2*w**2 + 261*w**3 + 66*w**3 to u*w + b*w**2 + d*w**3 + x and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 v when two letters picked without replacement from gebgwbgibevbwewee.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14\/9*f - 40\/9*f**2 + 0 - 2\/3*f**3.\nAnswer: -2*f*(f + 7)*(3*f - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74*q - 54*q - 512 = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2004498 is divided by 1158?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zkjjj. Give prob of picking 1 z, 1 j, and 1 k.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 1. Let t(f) = 36*f**2 - 30. Let v(k) = -k**3 + k**2 + 18*k - 59. Let a be v(-5). Give a*t(m) + 30*r(m).\nAnswer: 36*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -2619*h**3 - h**2 - 658*h - 657. Calculate f(-1).\nAnswer: 2619","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -54, -87, -120, -153, -186?\n\"Answer: -33*s - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8463\/10 - -838. Suppose c = -a - 4*c - 69, -258 = 3*a - 2*c. Find the common denominator of r and ((-45)\/a)\/((-3)\/22).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1\/(-4) + 570\/456)*(-1)\/(-3). Let c = 29 + -29.29. What is the closest to k in c, -3, -0.4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13.419 + 1.279. Let d = t + 11.14. Let o = 1.8 + 6.2. Which is the closest to d? (a) o (b) -0.2 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (12\/(-4) + 4)\/(4\/8). Let r(q) = -42 + 2*q**s + q**3 + 80 - 39. Calculate r(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*c**3 - 3 + 10*c**3 - 4*c**3 - 2*c**3 as a*c**2 + p + d*c**3 + v*c and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r*r**12*r*r)\/r**(-2\/29))\/(r*r**13)**(-20) assuming r is positive.\nAnswer: r**(8586\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 21*y + 4. Let f(s) = s + 1. Calculate 3*f(k) - z(k).\nAnswer: -18*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -9*i**5 + 27816*i**4 + 3949056*i**3 + 131663376*i**2 - 374248560*i + 189806400 = 0. What is i?\nAnswer: -70, 2\/3, 2, 3228","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 401.85 take away 2173969562?\nAnswer: -2173969160.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oyhyyoyoyyooyyoooyyy. What is prob of picking 3 o?\nAnswer: 14\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 11 = -1. Suppose 2*z + 10 = 5*z - 4*m, -13 = -b*z + 3*m. Let r be z - (-18)\/(-22) - (8 - 7). What is the nearest to 2\/5 in -3, r, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01423303658 to 2 decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 267155.\nAnswer: 5, 7, 17, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(((t**(1\/19)*t)\/t*t)\/t)*t**(-3\/10))\/(t*t\/(t*t**2))**10 assuming t is positive.\nAnswer: t**(2023\/190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 17 = -2*i - i, 0 = -5*i + 2*s + 22. Calculate the remainder when 29 is divided by 11 + 0 - 4*i\/16.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, a: 3, p: 2, u: 6, x: 3, b: 2}. What is prob of picking 1 e and 1 u?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 3*f**2 - 108*f + 101. Determine r(35).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -l + 2 + 86*l + l - 22*l as p + u*l and give u.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2 - (2 + -2) - -10. Let c be 2\/q + (-49)\/(-28). Let t(i) = -2 + 0*i + 0*i + 3*i - c*i. Let j(n) = n - 1. Calculate -3*j(a) + 2*t(a).\nAnswer: -a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - r = -3*u + 93, -4*u = -r - 124. Suppose -5*s = -0*c + c + 76, u = -2*s - c. Is -44\/3 < s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 - 4. Suppose -2*y + p*j + 13 = 0, 2*y + 5*j = -2*y + 15. Let k(f) = 2*f**3 - 4*f**2 - 2. Let b be k(3). Solve -b = x - y*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2505156*d + 4275 = -2505081*d for d.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the first derivative of c**3\/6 - 6*c - 3. Let t(p) be the first derivative of u(p). Let j(n) = -15*n. What is t(j(a))?\nAnswer: -15*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -42\/19 (b) -62\/5 (c) 3\/2 (d) -1\/746 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes after 8:59 PM?\nAnswer: 6:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the second derivative of r**5\/20 + r**4\/2 + 5*r**3\/6 - 3*r**2\/2 - 117*r. Suppose -i - 4*x = 1, 8*i - x = 4*i - 21. Calculate o(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/3)\/(-2*(-6)\/90)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -3*s**2 + 3*s - 13. Let d(m) = -4*m**2 + 4*m - 14. Give -4*d(n) + 5*j(n).\nAnswer: n**2 - n - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*l + 2*c + 26, 4*l + 10 - 20 = -2*c for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 + (2 - (-38)\/4*-2). Let n(l) = -l**3 - 5*l**2 - l - 4. Let c be n(-5). Let s be 4\/c*-4 - 0. Are s and m unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 - -1010011101101011111000?\nAnswer: 1010011101101011111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.08 + -4.92. Let s = w + 4.87. Let r = 3.13 + s. Which is smaller: -2 or r?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 24*a**2 - 114*a + 213. Let u be (-36)\/6 + -1*(1 + 2). Let s(m) = 11*m**2 - 57*m + 106. Let z(r) = u*s(r) + 4*k(r). Factor z(v).\nAnswer: -3*(v - 17)*(v - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 11027272 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4.45 + -1.45. Sort -157, 0.1, c in ascending order.\nAnswer: -157, 0.1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 736*f**3 + 10*f - 2*f - 7*f + 3178 - 737*f**3 to l*f**2 + u*f**3 + o*f + i and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 156509 is divided by 1579.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1130, -3390, -7914, -15836, -28290, -46410?\nAnswer: -71330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.8 + 1.07. What is u rounded to 1 dp?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-379320)\/67580*155\/(-15)\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56*v**3 - 64*v**3 + 176*v**3 - 59*v**3.\nAnswer: -3*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 59\/3 (b) -4 (c) 1 (d) 5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 + -101001111?\nAnswer: -101010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 3*t + 5*t = -20, -t + 20 = 3*k. Let a be 0\/(((-2)\/(-6))\/(k\/36)). Let h = 4 + -1. Solve a = -j + 2*g - 4*g - 4, -h*j + 2 = -g for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -110, -104, -96, -86, -74?\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/(-4))\/((-5)\/(-20)). Solve 3*o + 5 = r*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 - -45 - 56 - (0 + -23 + 1).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2*30\/50)\/((-2)\/(-15)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*a + 14 = a. Let m(c) = c. Let q(l) = 4*l - 4. Calculate a*m(o) + q(o).\nAnswer: 2*o - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 208 + (1 - 0) + 1. Suppose -4*n = -5*n - 4*l + 20, -2*l - z = -5*n. Find the common denominator of (26\/8)\/(n\/(-16)) and -16\/5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 15*k + 42. Calculate f(-10).\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11 + 0. Let s = -8 - t. Suppose 0 = -3*x - 2*g + 20, x + 3*g - s + 1 = 0. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70178 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 l, and 1 s when three letters picked without replacement from slssslssltltl.\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 b, and 1 n when three letters picked without replacement from fbfbgbbngffhzz.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -312 + 314. What is the second derivative of 175*z**5 + 0*z - 4 - z - 5*z + z - c*z wrt z?\nAnswer: 3500*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*g - 35100 + 7514 = 0. List the prime factors of g.\nAnswer: 1061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**2 + z. Let s(u) = -5*u**2 - 9*u - 1. Let d be (-1)\/(6\/(-4)*(-44)\/(-66)). What is d*s(q) + 6*k(q)?\nAnswer: q**2 - 3*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 365, 410, 507, 698, 1025?\n\"Answer: 7*i**3 - 16*i**2 + 44*i + 330","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -298, -606, -914, -1222, -1530, -1838?\nAnswer: -2146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -36 - -31744?\nAnswer: 31707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 5.5, -0.2, -6, -3, 5 in descending order.\nAnswer: 5.5, 5, -0.1, -0.2, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -358 - -566. Calculate the greatest common factor of 65 and o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**2 + 39*g + 63. Calculate the remainder when p(17) is divided by 55.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16.8 + 79.2. Let f = c + -68. Let b = 28 - f. Put 7, 2, b, 1 in descending order.\nAnswer: 7, 2, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z = 2329 - 2317 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -140, -151, -176, -221, -292, -395, -536, -721?\n\"Answer: -i**3 - i**2 - i - 137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-8)*v*v)\/v*v)**(16\/7)\/(v**(-3\/13)*v\/(v\/(v\/(v\/v**(-2\/29)*v*v)))) assuming v is positive.\nAnswer: v**(-30123\/2639)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from {x: 8, v: 5, y: 4}?\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 66 + -98. Let i = -8 - b. What is the remainder when i is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**28\/j)\/(j\/(j*j\/j**(3\/8))) assuming j is positive.\nAnswer: j**(221\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 8, e: 3}. What is prob of sequence eeed?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0\/(-1) - (3 + 3 - 4)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 88 divided by -4\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -3*g**4 + 10197*g**3 + 153678*g**2 - 163872*g = 0?\nAnswer: -16, 0, 1, 3414","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 2*a**3 - a**2 - a + 1. Let w(n) = 76*n**4 - 4*n**3 + 2*n**2 + 15*n - 4. Let h(f) = -2*j(f) - w(f). Find the second derivative of h(r) wrt r.\nAnswer: -912*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41 is divided by 23\/(-23)*(0 - 14).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 173 divide -5*((-4498)\/52)\/(5\/6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 24 + -16. Calculate the remainder when 30 is divided by q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 379, -1, 4, -10 in ascending order.\nAnswer: -10, -1, 4, 379","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*((sqrt(1053) + 3 + sqrt(1053)*2)*-1 - (-2 + 1*(sqrt(1053) + -1))))**2.\nAnswer: 421200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 282468807?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2019?\nAnswer: 3, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -67*t - 6. Let n be h(-3). Let p = n + -193. Factor -3\/2*j**3 + 0*j + 0*j**p + 0.\nAnswer: -3*j**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19740 - -35?\nAnswer: 19775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 2, b: 2, u: 8, f: 2, y: 4, j: 1}. What is prob of sequence aybj?\nAnswer: 1\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -13 (b) 2\/9 (c) 14.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.1, 1\/22, 2\/11, 1055.8?\nAnswer: 1055.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (-4 - ((-32 - (-3 - 2)) + 7)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 23072 and 36256?\nAnswer: 253792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes after 11:21 PM?\nAnswer: 4:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 22 - 9)*(3*v**2 - v**2 + 0*v**2) + (2*v**2 - v**2 + 0*v**2)*(0 + 1 + 0) + 2*v**2 - 2*v + 2*v - 5*v**2 + 2*v**2 + 4*v**2 - 4*v**2 + 5*v**2 + 6*v**2.\nAnswer: -45*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 5*s**2 + 2*s - 1. Let v be o(1). Suppose 4*y + 2*j - 10 = 0, 4*j + 2 + 2 = 0. Let q(d) = 6*d - 6 - 8*d**2 + 5*d**2 - d**2 + y*d**2. Give q(v).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(832) - ((sqrt(832) + 0 + sqrt(832) + sqrt(832))**2 + sqrt(832))) + -5.\nAnswer: -7497","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 + 60. What is the tens digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -11*l - 504. Is (-66)\/l*4*447 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -137*b + 14 - 145*b - 2 - 137*b + 418*b.\nAnswer: -b + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand z**5 + 1 - 1 + (-2*z**4 + 5*z**3 - 5*z**3)*(-2*z + 0 + 0) - 2*z**5 + 9*z**5 - z**5.\nAnswer: 11*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, m: 1, u: 3, z: 3, y: 1, r: 1}. What is prob of sequence tr?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u\/(u**(2\/3)*u))**22)**(2\/11))**(-25) assuming u is positive.\nAnswer: u**(-100\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2020397 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 + -25?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 146332681?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -87*y**2 - 103*y - 304. Determine t(-3).\nAnswer: -778","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in three tenths of a decade?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes before 9:49 PM?\nAnswer: 8:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 194909 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**0)**(-1\/30)*d*d**(-1\/2)\/d*d**(-2\/3)*d assuming d is positive.\nAnswer: d**(-1\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1\/7))**(1\/4) assuming q is positive.\nAnswer: q**(-1\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 861103.1mg?\nAnswer: 861.1031","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qgggqqggm. What is prob of sequence qqmg?\nAnswer: 5\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 729.3865ug?\nAnswer: 729386.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/1811 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**2\/r*r\/r**0*r\/(((r*r*r**(-2))\/r)\/r)*r**(4\/3))**(3\/19) assuming r is positive.\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -12*z - 85. Let y be q(-7). Is 5\/831 >= y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lylllyyllllllllrl. Give prob of sequence lyr.\nAnswer: 13\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4\/26*-1 + 1978\/13?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p - 1367 = -407. What is the greatest common factor of p and 48?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -573*m**2 - 1471 with respect to m.\nAnswer: -1146*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 81 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**3 - 26*t**2 - 52*t - 41. Let d be f(-24). Suppose 16*z - d = 105. Solve 12*n + z = 10*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 201 to the power of 1\/3, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v + 613 = -5*y + 116, -4*v = -4846*y + 4838*y - 792 for y.\nAnswer: -101","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 + -20221100211020012?\nAnswer: -20221100211020021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -152.1*-0.4111.\nAnswer: 62.52831","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2291 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -634 + 619. Suppose 5*q - 3*c - 11 = 0, 8*c = -q + 3*c - 9. Let u be (-18)\/(-27) - q\/(-3). What is the nearest to u in -1\/4, z, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -158*d - 196*d + 308*d.\nAnswer: -46*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6140684 rounded to four dps?\nAnswer: 0.6141","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**3 + 5*q**2 - 9*q + 13. Let c be i(-6). Calculate the greatest common divisor of c and 496.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -996, -940, -884, -828, -772?\nAnswer: -716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3\/70 - 11\/140. Is h > -2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirty-two fifths of a millennium?\nAnswer: 76800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in twenty-nine halves of a millennium?\nAnswer: 1450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2971.9 times -3.26?\nAnswer: -9688.394","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 2*c = -3*u - 895, 240 = c - 4*u. Suppose -30 - c = -10*d. Suppose -20 = -30*s + d*s. Solve 3*n = w - 10, s*w = -0*n + 5*n + 12 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 302180 by -4.\nAnswer: -75545","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/q**(-5\/3)*q)\/(q*q**(-6\/5)))\/(q**(-6)*q\/(q*q*q**(-8)*q)))**(-1\/38) assuming q is positive.\nAnswer: q**(-29\/285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -101*s**2. Let c(o) = o. What is l(c(f))?\nAnswer: -101*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -256*28\/14*(-1)\/2. Calculate the greatest common divisor of s and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-34)\/(-3)*(3 - 0). Suppose k - 97 = 3*j, -71 = -k + 5*j + 34. Calculate the greatest common factor of n and k.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**3 + 5*k**2 + 4*k. Let c(a) = -2*a**3 - 12*a**2 - 10*a. Let f be 6\/(-14) - 77\/49. Let d be (-3)\/((-3)\/(-10)*f). Give d*c(y) + 12*q(y).\nAnswer: 2*y**3 - 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 8489261623 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 7*f. Let a(u) be the first derivative of 10*u**2 - 5*u**2 + 172 - 552 + 225 + 242. Suppose -3*b - 5 = 10. What is b*a(n) + 7*z(n)?\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -103 - -104.2. What is the nearest to s in -1\/5, -5, -4?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 100*r - 492. Calculate j(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -2*d + 1. Let c(w) be the first derivative of 3*w**2\/2 - w + 1254. Calculate 4*c(h) + 5*z(h).\nAnswer: 2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**2 + 20*q + 19. Let p be m(-1). Let t = 4.4 - 4. Let n = t - -0.1. What is the second smallest value in p, -5, n?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**2 - 32*j + 137. Let s be p(-35). Let i be s\/(-16) - 2*1\/(-2). Let w = -11 + 15. Put 0, i, w, 2 in decreasing order.\nAnswer: w, 2, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 54 - 150. Is n a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 85.085 + -0.085. Let j = n + -85.1. Let s be -1*(-1)\/4 + 0. Which is the biggest value? (a) j (b) 2 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(1\/10)\/(d\/d**(-1\/6)) assuming d is positive.\nAnswer: d**(-16\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1139527900.\nAnswer: 2, 5, 7, 271, 6007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.18 + 14.82. Do -0.4 and s have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2632 - 2632. Let r(j) be the first derivative of 1\/5*j**5 - 7 + o*j**2 + 0*j + 0*j**4 - 4*j**3. Find the third derivative of r(k) wrt k.\nAnswer: 24*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 16 = 2*q - 0*q, -4*l + 20 = 3*q. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**2\/3 + 49574*f\/3 - 614395369\/3.\nAnswer: -(f - 24787)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**0\/s)**(36\/11)\/(s*s*(s*s\/s**5)\/s*s**3)*(s**(-4)\/s*s**(1\/5))\/(s**2\/s**(-3\/5)) assuming s is positive.\nAnswer: s**(-642\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6406, -11811, -17216, -22621, -28026, -33431?\nAnswer: -38836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes after 6:45 PM?\nAnswer: 12:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (6 - (-3 - -2))\/1. Let n(b) = -4*b + 37. Let j be n(x). Let i(o) = 12 - o**2 - 1 + o - j. Determine i(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 714307091 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(2\/5)\/(f*f\/f**(-3)))**(6\/13)\/((f*(f*f**(-3\/4))\/f*f**(-2\/13))\/(f**(2\/3)\/f*(f*f*f**1)\/f)) assuming f is positive.\nAnswer: f**(-431\/780)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -25 - (1 + -1 - 15)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 664 + -734.8. Let a = -71 - k. Let d = 0.1 - -0.1. What is the third smallest value in d, a, -2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 110 + -99 + (-25 - -1 - 0)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5456, 10801, 15918, 20687, 24988, 28701, 31706?\nAnswer: 33883","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 12 - 3*b**2 - 15 + 3 as p*b**2 + f*b + k and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 126615?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 27459919801 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 4*l = 12, 0 = 3*z + 2*l + 12 - 1. Suppose 4*j + 224*y - 223*y - 16 = 0, -j - 4*y - 11 = 0. Put -1, z, j in decreasing order.\nAnswer: j, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 385659.369 to the nearest one hundred thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 1025*n + 14340. Does 283 divide q(15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*c**3 - 5 + 4 - 1 - 26*c + 6*c**3 to the form p + x*c + b*c**3 + a*c**2 and give x.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.067 in 2.64, 0, -2\/15, -4, -1\/2?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 6*l. Suppose p + 23 + 9 = w, 4*w + 2*p - 128 = l. Is 8 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d + 6 - 4*d + 6*d + 11. Let i be j(-15). Let s = -4 - -5. Which is the biggest value? (a) s (b) 2\/11 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 564*v**3\/5 + 2936*v**2 + 93476*v\/5 + 528 = 0. Calculate v.\nAnswer: -15, -11, -4\/141","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 49*v**2 - v - 1. Is u(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4070 - 8135 + 4065 - 662*d)*(-3 + 3 + 1).\nAnswer: -662*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 16*r - 319. Give c(18).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 7*f**3 + 2*f**2 + f. Let s be l(-1). Let v be 12\/(-9)*9\/s. Suppose -4*a = -v*a - 16. Is a smaller than 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 54*m**2 - 107*m - 34. Is b(-21) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**2. Let a(w) = -4*w - 2*w + 2*w + 6*w. What is t(a(h))?\nAnswer: 4*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12486 = 13*k - 47118. Is k a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a microsecond in nanoseconds?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/4*(-24)\/(-15)*(-770)\/(-56).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9240 is divided by 215.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 98\/34 + 2\/17. Let n(f) = -f**3 + f**2 + 5*f - 4. Calculate n(o).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**3 - 12*k**2 - 13*k - 12. Let u be z(-11). What is the first derivative of 0*l - 17 + u + 3*l wrt l?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1593643 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + b = u + 4308, -4 = b. What is the remainder when u is divided by 45?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -131766, -131748, -131724, -131694, -131658, -131616?\n\"Answer: 3*q**2 + 9*q - 131778","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -3*v + 15, -5*m + 12 = v + 3. Let a(w) = 20*w**2 - 6*w - 10. List the prime factors of a(v).\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(-4))\/(x**(2\/9)\/x)*(x**(-5)*x)\/x*x**4\/x)**39 assuming x is positive.\nAnswer: x**(-494\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m - 2*o + 20, -2*m = o - 0*o - 9. Suppose -4*p + 5*v = -15, m*p + 0*p - 9 = 3*v. Solve 3*n = -2*i - 11, 2*i + p*i + 17 = -5*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25264 = 69*c - 508126. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6 + (-1)\/(-2)*0. Suppose m + 16 = q. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1447 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 3 c when four letters picked without replacement from ccccccucccccccccccc.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -2*g**3 - 4*g**2 - 4*g - 4. Let p be v(-2). Suppose -184 = -p*k - 16. What are the prime factors of k?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x**2 + 2*x**2 + 55*x + 22*x - 11*x**2 + 158*x = 0. What is x?\nAnswer: 0, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z**4\/7 + 134*z**3\/7 + 130*z**2\/7 - 134*z\/7 - 132\/7 = 0. What is z?\nAnswer: -66, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (45\/(-12))\/((-12)\/16)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -992*n + 82 = -979*n - k, 4*n - 36 = 3*k for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -6187432231 - -28?\nAnswer: -6187432203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5841508 rounded to 3 dps?\nAnswer: 0.584","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**2 - 50*o - 264. Calculate the remainder when 1551 is divided by s(-43).\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2986273 by -25.\nAnswer: -2986273\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 14*h**2 - 94*h - 22. Give u(7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5795081 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 283 + 49 = 2*d. Let y = d - 110. What is the tens digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 3*c**2 - 20*c - 3. Let g be f(7). Let d be (-3 + g)*3 - 2\/(-2). Let a = 4 - 2. Solve -4*z = -20, 0 = a*q + 3*q + d*z - 25 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 512.3186 litres?\nAnswer: 512318.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/(-10) - (-12)\/5. Let g(c) = -c**2 + 2*c + 4. Let h be g(4). Put h, a, 0 in descending order.\nAnswer: a, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9189 + 660 - 2469 + 2946 + 5205)*(0*k + 3*k - k) to n + d*k and give d.\nAnswer: 31062","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11\/186 - -437\/124. Calculate the common denominator of s and (198\/40)\/(-1) - -1.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.351 + 146.649. Let j = 146.7 - f. Let k = 0.3 - 1.5. Which is the third smallest value? (a) j (b) 2 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 535 is divided by 230.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4.57 + -4.77. What is the fifth biggest value in 3\/7, 0, -2\/5, v, 1?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*q = -22*q + 372. Suppose 3*p - q = 4*p. Let a = -30 - p. List the prime factors of a.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 - -12. Calculate the lowest common multiple of w and 8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1619385151 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29654 + -0.449.\nAnswer: -29654.449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11557 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2061428, 2061425, 2061422, 2061419, 2061416, 2061413?\n\"Answer: -3*h + 2061431","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -221 - 7?\nAnswer: -228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*w + 238*w - 125 + 2145 = 56*w for w.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -21 and -982.\nAnswer: 20622","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*k - 2*k, k = -3*z. Let s = 10.82 - 10.85. What is the third smallest value in -1, s, z, -2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 1\/6659, 9\/11, -0.4, 2\/3, -2\/3, 1\/4, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -11*g + g - g + 4*g**2 - 1 + 12*g - g**3. What is c(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 87 in -316, 0, -1.8, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1904 + -1905. Let i(x) = -12*x**3 + 6*x**2 - 4*x + 6. Let u(c) = c**3 - c**2 + c - 1. What is t*i(n) - 6*u(n)?\nAnswer: 6*n**3 - 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 537, 1823, 3845, 6597, 10073, 14267?\n\"Answer: -k**3 + 374*k**2 + 171*k - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 119981, 480353, 1080993, 1921901, 3003077?\n\"Answer: 120134*t**2 - 30*t - 123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 846546313 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.02 and 363.\nAnswer: 7.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the first derivative of 1519*s**4\/2 + 2*s**2 - 369*s + 5526. What is the second derivative of g(v) wrt v?\nAnswer: 18228*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1108395*s**3 + 41*s**2 + 41*s - 14?\nAnswer: 6650370","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 425 and 3332?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 4*y - 5*a, -4*a = 3*y + 6 - 19. Let w be 1 - y - (-5 + 1). Suppose s + 8 = 2*p, 0 = 2*p + p + 4*s - 12. Solve -10 = -w*t, -t = -2*d + p*d + 1 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = k - 210. Suppose k = 31*r - 26*r. Let n(q) = -6*q**2 + 6 - 131*q + 127*q + r*q**2. Determine n(5).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -12*f**5 - 100*f**4 - 140*f**3 + 180*f**2 + 72*f = 0.\nAnswer: -6, -3, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 - 14906725753.\nAnswer: -14906725753.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 36*p**2. Let z(a) = -5*a**2 - 3*a. Let k(g) = 9*g**2 + 5*g. Let j(f) = -3*k(f) - 5*z(f). Calculate y(j(h)).\nAnswer: 144*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18 - (-6 - (2 + -2))) + 4 + (-4 - 18)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*o**3 + 454*o**2 + o + 2443 wrt o.\nAnswer: -9*o**2 + 908*o + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1440.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -3*q + 5, -5*q = -v - 7. Let z = 2 - 2.1. Which is the closest to v? (a) -1\/6 (b) 3\/5 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -4*p - 50. Is (-4)\/p + (-8109)\/(-15) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10385901.\nAnswer: 3, 128221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g - 14 + 19 = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 262865*r**3 - 1048036*r.\nAnswer: 1577190*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 105\/13 (b) 0.04 (c) -16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 26*h**3 - 14*h. Let b(p) = p**3 + 19670367*p**2 - 19670367*p**2 - p. What is 56*b(s) - 4*x(s)?\nAnswer: -48*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tlmm when four letters picked without replacement from llmlmmlmlnmmtllnn?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3145299 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 403 - 238. Let p = -427 + i. Let d = p + 370. What is the highest common factor of d and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g - 1 + 1)*(-5 - 1 + 1 + (-1 + 5 - 3)*(-3 + 3 - 2))*(-4 + 6 - 3).\nAnswer: -7*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 110, 190, 342, 566, 862, 1230, 1670?\n\"Answer: 36*j**2 - 28*j + 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1230 and 60?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 7*t. Let b(l) = 17*l**2. Determine w(b(i)).\nAnswer: 119*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6608 and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 58997.6 and 0.006?\nAnswer: 353.9856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 20*d. Suppose 0 = -5*j + 5, 0*j = 2*a + j - 17. Calculate the smallest common multiple of a and p(1).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11 and 239327?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 162999 to the nearest integer?\nAnswer: 404","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -13*w**2 + 1378*w - 7800. Give x(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5974579 is divided by 288.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -881, -1916, -3013, -4178, -5417, -6736, -8141, -9638?\n\"Answer: -t**3 - 25*t**2 - 953*t + 98","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 18 = 5*v - 4*q, -v = 4*q + 18. Let a = 9 + v. Solve a*k - 3 = 0, t - k + 1 = k for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 2*g - 18. Let a be o(8). Put -3, -5, a in descending order.\nAnswer: a, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 1 + 0 + (-78 - (-95 + 15)) - -60.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 4 = -2*g, 2*n - g - 4*g = -10. Suppose 5*z + 4*w - 1058 = n, 5*w = 5*z + 4*w - 1073. What are the prime factors of z?\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 240477 and 31612?\nAnswer: 6733356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -25, 3*o + 0*o = 4*g + 110. Let x = -858 + 848. Let m = o + x. What are the prime factors of m?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_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: Simplify (3*sqrt(162) + -2)**2 + 4 + 1*sqrt(162) - (3*(3 + sqrt(162)*-1 + 2))**2.\nAnswer: -217 + 711*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.4, -0.062, 0.04, -9\/4?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*k**3 - 10479*k + 10479*k.\nAnswer: 7*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*x**3 - 2*x**3 + 0*x**3)*(-4*x**2 + 4*x**2 + 2*x**2) - 20*x + 20*x + 6*x**5.\nAnswer: 10*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 359154000 and 144.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 183 is divided by 40?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -2*m**3 + 8*m**2 - m + 3. Let d be g(-4). Let s = 292 - d. What is the greatest common factor of 29 and s?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/4 + (0 - 1). Suppose 6*t - t = 4*l - 8, -4*t - 2 = -l. Suppose 3*f - 24 = 5*h, -h = -4*f - 4*h + 3. Sort f, k, l in decreasing order.\nAnswer: f, l, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**(2\/7))**(-46)*b**(6\/7)\/(b*b\/((b\/b**(1\/14))\/b)))**(-7\/2))**(-6) assuming b is positive.\nAnswer: b**(-603\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-19) + (-338)\/(-1482).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46 is divided by 29.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k. Let a(d) = -15*d. Give -a(c) + 6*v(c).\nAnswer: 9*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the first derivative of -a**4\/2 + a**3 - a**2 - 4*a - 5. Let u be n(-4). Suppose -u = -4*j - j. Is 8 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2295*b**3*i**2 - 61001*b**3*i + 7*b**2*i**2 - 11*b*i**2 wrt i.\nAnswer: -4590*b**3 + 14*b**2 - 22*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8.11 - -2.11. Is 2\/3 != s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**3 - 7*w**2 + 4*w - 2. Calculate x(-6).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(539)*-1 + sqrt(22)\/(sqrt(4)\/sqrt(18)).\nAnswer: -4*sqrt(11) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -19 + -2?\nAnswer: -1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pcccpcppfcpcc. What is prob of picking 2 c?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 + 1)*(-3*b - b + 3*b)*(13*b - 11*b - 30*b).\nAnswer: 84*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -3301*g + 2519. Let p be d(-5). Calculate the highest common factor of 123 and p.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57382.\nAnswer: 2, 13, 2207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o + 15*o**2 - 12*o**2 + o)*(o + o - 3*o).\nAnswer: -3*o**3 - 2*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -3580001 plus 539609.4?\nAnswer: -3040391.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*r + 2331*r**2 - 8509*r**2 + 4*r - 7632*r**2 in the form i*r**2 + m*r + x and give i.\nAnswer: -13810","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 30 and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a gram in milligrams?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y**2\/5 - 7488*y\/5 + 1181808\/5 = 0 for y.\nAnswer: 174, 1698","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -29 - -66. Let h = 41 - z. Suppose -2*a + 3*a - h = 0. Let r(i) = -2*i. What is r(a)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/18)\/(5\/6)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 25917243*q**4 + 10*q - 1550099 wrt q?\nAnswer: 311006916*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -28\/395 - 31211\/11060. Let s = 295628867\/31812480 + -1\/908928. Let o = s + r. What is the common denominator of -1\/41 and o?\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2939439374 to the nearest integer?\nAnswer: 1432","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 5*m**3 - 131800*m**2 + 3028755*m = 0?\nAnswer: 0, 23, 26337","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25 - 15 - ((-18)\/(-12) + 11).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -46 divided by -2?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.4? (a) 4\/3 (b) 7 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -c**3*i**2*o*r**2 + 58*c**3*i*o*r**2 + 3*c**2*o + 2*c**2*r**2 - 2*c*i**2*o - i*o*r**2 + 8*o*r**2 wrt c.\nAnswer: -6*i**2*o*r**2 + 348*i*o*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6864140755 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -107 or -952\/9?\nAnswer: -107","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4058396420.\nAnswer: 2, 5, 13, 47, 59, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d - 2*v + 28, -d - 3*v = 2*d - 21. Suppose -3*f - d = -3*u + 8, 4*f - 3*u + 16 = 0. Is -1 + 0 + 37 - f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -248 = 2*l - 6*l. Suppose -3*h = 4*u + 176, u - 228 = 3*h - l. Is h\/6*(-9)\/6 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-30)\/(-20))\/(3\/10).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (335\/1139)\/(5\/(-48)*4)?\nAnswer: -12\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 82083364, 164166720, 246250076, 328333432, 410416788, 492500144?\n\"Answer: 82083356*q + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 2*z - 2. What is the first derivative of 3*m**3 + 1 - 1 + z + m**3 wrt m?\nAnswer: 12*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 * -2.8\nAnswer: -11.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -z + 36 + 32 + 457 + 560.\nAnswer: -z + 1085","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.5 + -0.2. Is m bigger than 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**3 - 33*w**2 + 34*w + 6. Let i be n(-34). Let y be -1*(1 - (19 + 3)). Solve i*g - y = -g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5015*z - 1674*z - 1667*z - 1674*z - 244*z**4 + 32*z**2 - 472*z**3.\nAnswer: -4*z**2*(z + 2)*(61*z - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 11*k. Let g(z) = -4*z. Let t(c) = 3*f(c) + 8*g(c). Let b(j) = j**2 - j**2 - 2*j**2. Give t(b(p)).\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**2 - 6. Let v = 93 + -75. Let k = -13 + v. Suppose -k*r = 8*r. Give i(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*f + 4*f + 3*f + (-29 + 34 + 32)*(f + 2*f - 4*f) to x*f + y and give x.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 - 110110000111111100?\nAnswer: -110110000111111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4709? (a) -0.1 (b) -2 (c) 3 (d) -0.18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**2 + 15*c - 4. Let z be p(14). Let n = 14 - z. Let m = n - 0. Solve m*v + 5 = 13 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000206173311 to six decimal places.\nAnswer: 0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**2 + 14. Let m be i(-7). Let c = m - -40. What are the prime factors of (-118 + 0)\/(c + -7)?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 557650405?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkqggkkqklkqky. What is prob of sequence kyl?\nAnswer: 1\/312","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j + 12. Let u be v(-10). What is the tens digit of (-56 + u)*(1 + -2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 + (-2*3 - -3). Let t(x) = -2*x + 3. Is 2 a factor of t(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -23.648 + 0.048. Let x = -28 - n. What is x rounded to zero decimal places?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 15200.05 and -0.158.\nAnswer: 15199.892","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*y + 3*k - 260 + 115 = 385, 2*y - 7*y + 5*k = -345 for y.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -5*w - 865, 4*w + 737 = 2*f + 3*f. Let y = w - -320. Suppose 54 = -4*q - y. What is q rounded to the nearest 10?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:35 PM and 2:08 PM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1115 = -5*d + 10*d. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-84)\/(-66))\/((-10)\/(-110)). Let r(j) = j**2 - 5*j - 3. Let q be r(6). Suppose 7*l = q*l + 16. Which is greater: v or l?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 68.68033 years in centuries?\nAnswer: 0.6868033","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 0*d**2 + 11 - 3*d**3 - 8*d**2 - 4*d**3 + 7*d + 2*d**3 + 4*d**3. Let x be (-19)\/2 - (-1)\/2. Is 29 a factor of j(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 8 = 0, -3*a + 82 = 6*g - g. Suppose -g*i + 6*i = -24. Suppose 472 = 2*c + 4*s, -i*s + 7*s + 8 = 0. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.90328325 to one dp.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add 6 and 508.10790920916.\nAnswer: 514.10790920916","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14126, -28262, -42408, -56570, -70754, -84966, -99212, -113498?\nAnswer: -127830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -180*b**5 - 215*b**4 + 165*b**3 + 235*b**2 + 15*b - 20 = 0. Calculate b.\nAnswer: -1, -4\/9, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of d**6 + 96*d**4 - 2*d**2 - 18*d?\nAnswer: 120*d**3 + 2304*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 15 = 30. Suppose -9*x - w - 13 = 0. Let n(m) = 2*m**2 + 2*m. Determine n(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 to the power of 1\/5, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -254, -253, -248, -239, -226, -209, -188?\n\"Answer: 2*p**2 - 5*p - 251","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**2 + 5*g - 4491. Let f be v(0). Is (1 + (-12)\/9)\/(3\/f) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*o**3 - 14*o**2 - 647*o + 61834 wrt o.\nAnswer: -6*o**2 - 28*o - 647","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (105 + -36 - 46) + (-1 - 49)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 117727 to the power of 1\/3, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 180 = 6866*v - 6851*v. Calculate the greatest common factor of v and 92.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -13*g + 34. Determine s(4).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/125 of a milligram in micrograms?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t = -3*t - 24 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-37 + 12 - 12 + (4 + 0 - 5)*(-3 - 1 + 6) - 2 + 2 + 2)*(-2*s + 4 - 4)*(2 + 0 - 3)*(4*s + s - 3*s) in the form c*s**2 + g + p*s and give c.\nAnswer: -148","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*b**3 - 13*b**2 - 2 + b - 34468355*b**4 + 34468357*b**4 - 4*b + 56*b**2 + 1 in the form p*b**3 + u*b**4 + l*b**2 + z + r*b and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 3*d**2 + 19*d - 2. What is the remainder when s(-11) is divided by 47?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**11*x*x*(x\/(x**(-1\/15)*x))\/x)\/(x\/(x**(4\/5)\/x))**(20\/3) assuming x is positive.\nAnswer: x**(61\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -155747406*o**4 - 41967396*o**2 - 1.\nAnswer: -3737937744*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -86*p**2 - 38*p + 346. Let t(y) = -17*y**2 - 8*y + 69. Let i(o) = 2*h(o) - 11*t(o). What is the units digit of i(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 149 + -150. Let k be (1 + (0 - 1))\/2. Suppose -m = -o + 2*o - 1, 4*m - 20 = k. Sort o, f, 5 in decreasing order.\nAnswer: 5, f, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16 - 16.06. Let v = s - 4.94. Sort 2, v, -0.3 in increasing order.\nAnswer: v, -0.3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 22332536 and 89330144?\nAnswer: 89330144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -122, -560, -1178, -1976, -2954, -4112?\n\"Answer: -90*d**2 - 168*d + 136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -341448 (base 10) in base 7?\nAnswer: -2621322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) 1 (c) 2\/25 (d) -1 (e) -37\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:43 AM and 10:59 AM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 573 - 63. What is the smallest common multiple of 676\/34 - (-10 - (-1680)\/i) and 30?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 59.40927ug?\nAnswer: 0.00000000005940927","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (112\/(-42))\/((-2)\/3). Solve p = u*c - 2, 7*p - 3*c = 4*p + 3 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 43\/31 or -68?\nAnswer: 43\/31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/10 + (-52)\/(-20). Let h = 3 + 0. Let s(g) = -g**2 + 3*g - 2. Let q(p) = p**2 - 2*p + 1. Let r(c) = h*q(c) + l*s(c). Differentiate r(j) wrt j.\nAnswer: 2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11013 is divided by 344.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 35044 to the power of 1\/2, to the nearest integer?\nAnswer: 187","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uon. Give prob of sequence on.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1785358324.\nAnswer: 2, 31, 14398051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 30, -2, -3, 5 in descending order.\nAnswer: 30, 5, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*h + 10*h = -l - 30, -6*l - 40 = 4*h for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -36? (a) -14 (b) -1\/6 (c) -1 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-12)\/(-42)*(-2 - -16). Let z(q) = 2*q - 4. Let d be z(u). Solve g - 5 = -d for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -479478, -479509, -479542, -479577, -479614?\n\"Answer: -q**2 - 28*q - 479449","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**3 - 11*j**2 - 6. What is q(11)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*n + 8*n + 76 = 0. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 291 is divided by 35.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the second derivative of -6*h - 2*h**2 + 0 - 1\/3*h**3. Let w be p(-5). Solve w - 16 = 2*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-5)\/y)**17\/(y\/y**(-14)*(y\/(y\/y**(5\/4)))\/y*y) assuming y is positive.\nAnswer: y**(-473\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8551890 and 225.\nAnswer: 42759450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 + 3. Let t = r - -4. Suppose 4*f - 9 = t*f. Calculate the highest common factor of 99 and f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 31*i + 3. Let g = 13 + -9. Is a(g) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**1)**(-12)*(a**(-1\/3))**(-39) assuming a is positive.\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -2*q**2 - 28*q + 3. Let v be y(-14). Solve -v*o - u + 5 = 0, -u = -o - 3 - 2 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19*1332.9.\nAnswer: 25325.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 102.748 + -102. Let m = 0.093 - d. Round m to 1 dp.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6120)\/32045 + 1*(-2)\/13. Sort j, 2\/3, 1 in increasing order.\nAnswer: j, 2\/3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7 - 3*s**2 - 3*s**2 - 2 + 17 wrt s.\nAnswer: -12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -4*u**3 - 25*u**2 + 25*u + 6. Let n(g) = 7*g**3 + 49*g**2 - 50*g - 12. Let l be 12\/(-9)*9\/(-4). Let o(a) = l*n(a) + 5*i(a). Does 5 divide o(-23)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -29 + 57. Let c = o - 28.035. Let f = -2.965 + c. Sort f, -1\/4, 3 in descending order.\nAnswer: 3, -1\/4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**5\/y)\/(((y\/y**(-3\/4))\/y)\/y)*((y**(2\/17)*y)\/y)\/((y\/(y*y**(-7)\/y))\/y)*(y**(2\/11)\/((y*y**(4\/7)*y)\/y))**13 assuming y is positive.\nAnswer: y**(-108371\/5236)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*y**6 - 11996*y**5 - 3*y**2 + 12779?\nAnswer: -360*y**3 - 719760*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*w**3 + 39664*w + 0*w**3 - 39664*w.\nAnswer: 2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*s + 190*s - 1287 - 390 = 0 for s.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/159141 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -22222010222 (base 4) to base 12\nAnswer: -b28922","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*x = -13*x + 5 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -2814028 + 123649\nAnswer: -2690379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*j + 2*y - 6, -2011*j + 4*y + 21 = -2008*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 146 - 148. Let p be 0 + (-1 + h + 1 - -4). Solve -2 = -p*t + 6 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -4 (b) -2 (c) 3 (d) -8140\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 128*o. Let l(c) = 18*c**2. Determine l(d(b)).\nAnswer: 294912*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*u + 0*u + 4*u)*(3 - 3 - u) + 3 - 3 - 2*u**2 + 2*u**2 - 6 + 6)*(89*u**3 - 30*u - 13*u**3 - 85*u**3).\nAnswer: 9*u**5 + 30*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the second derivative of -7*t**6\/15 + 67*t**5\/20 - 97*t**4\/12 + 16*t**3\/3 + 6*t**2 + 365*t. Determine q so that g(q) = 0.\nAnswer: -3\/14, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (6\/(-9))\/((-22)\/33) is divided by (-2)\/(-4)*(-1 + 3).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 20 and 23644?\nAnswer: 118220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -263 = -35*y + 577. Suppose 0 = -5*x + w + 1874, y*x - 22*x - 744 = -w. Calculate the greatest common factor of x and 66.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33.54792 litres in millilitres?\nAnswer: 33547.92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 2*p = -3*k + 27, 3*k - 6 = 5*p. Suppose 3*m + k = 1. Let y be (-6)\/(-4) + (-87)\/m. Calculate the greatest common divisor of 30 and y.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes before 1:28 PM?\nAnswer: 10:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 5\/6 (b) 24 (c) -2\/3 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + 124 = -r + 125, 3 = 3*r for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*q - 217214*c + 217213*c - 16, -3*q = -2*c - 17 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**3 + 4*p**3 - 2*p**2 - 4 + p - 4*p**3. Let q be v(-3). Let z(o) = o**3 - o**2 - 2. Let w be z(q). Solve w*d + d + m + 13 = 0, 3*m + 7 = -d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13546 - -15943644\/1177. Let q = -1173\/2354 - d. Put q, -22, 0.4, 5\/3 in descending order.\nAnswer: 5\/3, 0.4, q, -22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1388, 2775, 4162, 5549, 6936?\n\"Answer: 1387*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(84)\/sqrt(48) + (5*1*sqrt(70))\/sqrt(10) + 0.\nAnswer: 11*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*n + 1425 - 768 = j + 757, 3*n = -36 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.05, -4011147, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -115*n**3 + 12*n + 34. What is the smallest common multiple of 186 and p(-2)?\nAnswer: 930","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 u, and 1 i when three letters picked without replacement from ivoufffoifufvuovfoiv?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 244966327?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c**5\/4 - 8*c**4 + 36*c**3 + 2927*c**2\/2 - 47215*c\/4 + 43953\/2 = 0. What is c?\nAnswer: -26, -23, 3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/34, -2\/13, -0.1, -5\/6, -13\/5 in ascending order.\nAnswer: -13\/5, -5\/6, -2\/13, -0.1, 3\/34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 75*w**2\/4 - 1277*w\/4 + 17\/2.\nAnswer: (w - 17)*(75*w - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8.4 + -26.6. Let o = 41480.038 - 41515. Let i = o - s. What is i rounded to two decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -165*t + 90 - 37 - 383. What is the second smallest value in 65, t, 4, -1\/5, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**2 + 127*g. Let a(x) = 6*x + 5. Let f(m) = -7*m - 6. Let w(c) = 6*a(c) + 5*f(c). What is s(w(l))?\nAnswer: -l**2 + 127*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/(-6) + 1)\/(8\/(-12))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -k**3 - 67150092*k**2 - 16*k + 2630384 wrt k.\nAnswer: -6*k - 134300184","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h - 5*h = 45. Suppose 31*k - h = 26*k. Suppose k*i - 335 = -r - 4*r, 2 = -r. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17, 69, 157, 281?\nAnswer: 441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2750\/(-7425))\/((-10)\/36).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 4) to base 14\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.082816834 to 5 decimal places.\nAnswer: 0.08282","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(-1)\/(-6)*(-234)\/130.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11 and 3289?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**3 - 2*i**2 - 2*i - 1. Let q be a(-2). Let w(n) = -7*n - 215. Let z = -379 - -348. Let x be w(z). Solve x*l - l = q for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 + 36. Let t be 2\/(g\/(-3))*1. Let l = -4.1 - -4. What is the closest to l in t, 0.1, 0.2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/3, -11, -3, -1 in ascending order.\nAnswer: -11, -3, -1, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 81.1724636 to the nearest 10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g + 1463 - 311 = 0. Suppose 139*r = g*r - 5. Which is smaller: 7\/4 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, 9, 292 in increasing order.\nAnswer: -11, 9, 292","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1834\/13 bigger than 140?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 82*t**2 - t + 269.\nAnswer: 164*t - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -3*m - 10. Let b(x) be the first derivative of -3*x**4\/4 + 2*x**3\/3 + x**2 + 3*x - 2. Does 20 divide b(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**3 - 24*j**2 + 177*j + 14. Determine l(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.1 - 3. Let v = -346.238 + 341.238. Let y = -0.2 - -0.2. Which is the nearest to j? (a) v (b) -0.03 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45591?\nAnswer: 3, 7, 13, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l - 4*l + 0*l + l + 0*l + 0*l + (0 + 3 - 2)*(2*l - 4*l + 0*l) + (-l + 0*l + 0*l)*(-4 + 5 + 6) - 3*l + 4*l + l)*(-3*l**2 + 3*l**2 + l**3).\nAnswer: -7*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.76476127 plus 70.62?\nAnswer: 72.38476127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90*s - 91012 = -46883 - 48809 for s.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 6444 to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -211 + 149. Let j be (t\/3)\/(8\/(-60)). Suppose -3*m = 2*m - j. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 57 and 874949772?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes before 3:33 PM?\nAnswer: 4:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 11512105 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -17 - -2 - ((-1 - (-9 + 5)) + -6)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 510 + -510. Let l = -4 + 3. Which is the nearest to l? (a) -0.3 (b) 0.1 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 262.50086 and -2?\nAnswer: 264.50086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from eeeeeezzze.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -2717 - a**2 + 6*a**2 + 2717 + 0*a**2. Let c(m) = -m**2 - 6*m + 6. Let v(l) = l**2 - l + 1. Let j(w) = c(w) - 6*v(w). Calculate j(b(n)).\nAnswer: -175*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -101? (a) 1 (b) -4\/5 (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * 7312.265.\nAnswer: -7312.265","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 830?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000814 to 4 dps.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (40\/6)\/(15\/(-45)). Let v be 8\/m + (-54000008)\/(-20). Round v to the nearest 1000000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and -1412 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f - 77 - 51. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91*n + 208*n - 149*n + 4950 = 0 for n.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - (42 - 67) - 12 - (0 + 96).\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*a - 6*a - 50. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 2*x**2 - x. Let o be f(-5). Let v be (-1 - (-46)\/(-8))*(-40)\/(-15). Let u = o + v. Is 10 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(-10)*-14 + 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/504019 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 s when two letters picked without replacement from sdbda?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*l**3 - 1259 + 674 + 624 - 8*l**3 - l**3.\nAnswer: -2*l**3 + 39","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*b + 44*b = 12. Let w = -0.004 + 0.004. Let o = -0.31 + 0.3. What is the closest to w in 1, b, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**3 - 8*c**2 - 8*c - 7. Let x be j(-7). Suppose 9 + 7 = 4*q. Let p(l) = 3*l + 7. Let z(r) = r + 2. Let u(d) = q*p(d) - 11*z(d). What is u(x)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 3887.\nAnswer: -1\/3887","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -7930 rounded to the nearest one thousand?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5917 or -5915?\nAnswer: -5915","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 4*i = -30. Suppose -y + 32 = 5*t, -i*t = -4*y - 0*t + 128. Is y a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 355181?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -338*k - 1 + 3 - 2 + 249*k - 456*k + (-5 + 2 + 2)*(-106 - 14*k + 106).\nAnswer: -531*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**3 - 7*s**2 - 2*s - 10. Let a be m(-7). Solve -c + a*c = -4*z - 2, -4*z = -c - 6 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-9)*f**(1\/6)*f*f)\/((f**11*f*f)\/((f\/(f**(-3\/10)*f))\/f)) assuming f is positive.\nAnswer: f**(-308\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*8\/128*12.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -2*q - 3. Let s be n(-3). Let x = 7 - s. Suppose -4*k = i - 36, 31 - 99 = -x*i + 3*k. Does 11 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -87 + 89. Solve p*u - 3*u = 3 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:38 PM and 9:33 PM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*s, -3*z + 0*z - 74 = 4*s. Let n = -16 - z. Calculate the remainder when n is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 91*a**3 - 13*a - 7. Let u(f) = -7*f**3 + 1. What is -h(o) - 7*u(o)?\nAnswer: -42*o**3 + 13*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1032 (base 5) to base 4\nAnswer: 2032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12122001221 + -101?\nAnswer: 12122001120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1273 is divided by 275?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 21 + -69. Let g = h - -47.02. Let b = 1.0026 + g. What is b rounded to 3 dps?\nAnswer: 0.023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-286)\/39)\/(3\/(-1)*(-5)\/(-45)).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-2 + (sqrt(110)*-2*-6*-6)\/((sqrt(1440)*2 - sqrt(1440))*3) + 1).\nAnswer: -6*sqrt(11) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 28, 48, 70, 94, 120?\n\"Answer: f**2 + 17*f + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -60251317 - -2?\nAnswer: -60251315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -33 - -35 - (8 + -1)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2c (base 15) to base 13.\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 670487533 is divided by 3634?\nAnswer: 3631","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3 - 1)\/((-3)\/(-48)). Suppose 28*y - f*y + 172 = 0. Calculate the remainder when y is divided by 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 5) in base 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1564708 is divided by 634.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2427, 4879, 7321, 9747, 12151, 14527?\n\"Answer: -q**3 + q**2 + 2456*q - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12842 + -8697. Suppose -3*w = l - 2042 - 449, 5*l = -5*w + t. What are the prime factors of w?\nAnswer: 3, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*l = -22*l - 1737. What are the prime factors of l?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -47, -79, -111, -143, -175, -207?\nAnswer: -239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**3 - 45*m**2 + 80*m - 1149. Calculate w(44).\nAnswer: 435","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -351 divided by 3\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 186465964.\nAnswer: 2, 46616491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 3, 7, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -823590 + -1.18622.\nAnswer: -823591.18622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 - -3a569?\nAnswer: 3a56c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 9\/(-2) - 12\/8. Let j(x) = 6*x**2 - 3*x - 38346 - 4*x**3 + 5*x**3 + 38340. Determine j(k).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 9, p: 3}. Give prob of sequence py.\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**3 - 17*j**2 - 37*j + 28. What is the units digit of y(-16)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17715 to the power of 1\/2, to the nearest integer?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.343 times 116\nAnswer: -39.788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -7219 and -0.02.\nAnswer: 144.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -13*w - 112. Let c be r(-9). Put -4, c, -3, 38 in descending order.\nAnswer: 38, c, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-5 + 3 + 0)*(-1 + 4 - 1) - 2 + 3 - 2)*(78*n - 105*n - 496*n) in the form w + o*n and give o.\nAnswer: 2615","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -6*y - 5. Calculate l(9).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -28 + 8. Let j = 2 - t. Let y(u) be the first derivative of -u**2 + 8*u + 1. What is y(j)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 27627?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -97*n**4\/3 + 124552*n**3\/3 + 1871940*n**2 + 62115152*n\/3 - 2571008\/3 = 0. Calculate n.\nAnswer: -22, 4\/97, 1328","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -21*q**2 + 94*q - 1. Let x(g) = 44*g**2 - 204*g + 2. Let o(r) = -13*w(r) - 6*x(r). Give o(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*x + 133 = 4*l - 136 + 5, -5*x = -l + 34 for l.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11002 + -1101011121?\nAnswer: -1101022200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0, 0.07, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h = 3*z + 292 - 301, -8 = 2*z - 5*h for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ixpko. What is prob of picking 1 x and 1 i?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 109 - 3271 = 0. Let p = 13 + a. Let c = -591 + p. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 51\/2 of a tonne?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 - -8. Suppose t = -3*x + 7*x. Solve -4*s + 16 = x, -2*s + 8 = -2*j - 6 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10167 is divided by 101?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -p + 22. Suppose 0 = 7*s - 21. Suppose 5*t - s*v = 232, -4*v + 76 = 2*t - v. Calculate the greatest common factor of t and p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -272*b - 1. Let h be w(-1). Let y = h + -2983\/11. Which is smaller: -0.1 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 33\/1472 and -73\/230805.\nAnswer: 14771520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 12*c**3 + 2*c**2 + 2*c. What is q(-2)?\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1710125 is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41\/(-3) - (20\/15 - -3).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 716\/1065 - 2\/355. Factor 0*w - b*w**2 - 2\/3*w**5 + 2\/3*w**3 + 0 + 2\/3*w**4.\nAnswer: -2*w**2*(w - 1)**2*(w + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, j: 4, w: 2, c: 4}. Give prob of sequence cpw.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/24)\/((-1)\/(-6))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2034 is divided by 1011?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 42 - 55. Let d = -16 - m. Let f = 2 + -3. Sort d, f, 1\/7 in ascending order.\nAnswer: d, f, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40.89108858 rounded to two decimal places?\nAnswer: 40.89","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 137362378 to the nearest integer?\nAnswer: 11720","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 19516 + 42?\nAnswer: 19558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.740396319 to 4 dps.\nAnswer: -0.7404","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -42\/13 (b) -2 (c) 2212\/3 (d) -0.5 (e) -290\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(sqrt(3264) + sqrt(3264)*-4))\/(sqrt(33)\/(sqrt(11) - (sqrt(44)\/sqrt(4) + sqrt(11) + sqrt(11))*4)))**2.\nAnswer: 29620800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = -3*t + 788*r - 782*r, -3*t - 5*r + 4 = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14393\/47340 + -2\/1315. What is the common denominator of 89\/134 and t?\nAnswer: 2412","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 11 + 2)*(3*h + 2*h - 6*h + (2*h - 2*h - 2*h)*(2 - 1 - 3)).\nAnswer: 54*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = r - 23. Suppose 0 = 3*t - 2*w - r, -5*t + w = 7 - 25. Determine u, given that -t*u - u**3 - u + 5*u = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -113\/42 and 1\/10640.\nAnswer: 31920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -559, -1631, -4549, -10237, -19619, -33619, -53161?\nAnswer: -79169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3017 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -44, 0, 1, 14, -16178, -4 in decreasing order.\nAnswer: 14, 4, 1, 0, -4, -44, -16178","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = 4*o + 17. Let m(n) = -n**2 + 6*n + 2. Let s be m(o). Let l = -0.15 - -0.15. Which is the smallest value? (a) 7 (b) s (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -71, 2\/11, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.6, 1\/5, 0.03, -4?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one fifths of a litre in millilitres?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-8\/7)*g*g**(10\/7)*(g\/(g*g\/(g**8\/g*g*g)))**(-14))**48 assuming g is positive.\nAnswer: g**(-37200\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5 + -1 - (-7)\/(-1). Put 12, -1, 3, k in descending order.\nAnswer: 12, 3, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (6\/(-3))\/(6 + 300\/(-51)). Is 125 less than or equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:21 PM and 10:05 PM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n**5\/5 + 22*n**4\/5 - 92*n**3\/5 + 184*n**2\/5 - 176*n\/5 + 64\/5 = 0.\nAnswer: 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w - 1. Let o(c) = -3*c - 3. Let g = -5 + 6. Let k be g\/(((-5)\/(-2))\/5). Calculate k*o(q) - 4*y(q).\nAnswer: -2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u - 2*u - 2*x - 8 = 0, 3*x + 14 = 5*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 13838011 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-9)\/(-12)*8\/(-14). What is the second smallest value in 1\/3, r, -1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*a**4 - 88*a**3 + 672*a**2 - 1960*a + 1372.\nAnswer: 4*(a - 7)**3*(a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-154988)\/(-6)*(-942)\/(-4). Suppose 1366721 + f = -i. Round i to the nearest 1000000.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -267*g + 254*g = 129*g + 958*g + 57200 for g.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (((4*sqrt(1900)*2)**2 - sqrt(1900)) + -4 + (-3 + 5 + -1 + sqrt(1900))**2)*2.\nAnswer: 20*sqrt(19) + 246995","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 1 g when three letters picked without replacement from sqqlglqlqqqqqq.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*i**3 - 4*i**3 + 6*i**3)*(-4*i + i + 6*i) - 9*i**4 + 2*i**4 + 2*i**4 - 49*i**4.\nAnswer: -30*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13576074 + 1249018863\/92. Let y = -873\/4 + n. Let h = y - -387\/161. Find the common denominator of h and -67\/6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 3, n: 1}. What is prob of sequence sssn?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 6, z: 1, m: 2, w: 2}. What is prob of sequence hmm?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lillllllllolei. Give prob of sequence eio.\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 13*i**2 - 5*i + 5. Let x(r) = -20*r**2 + 8*r - 8. Let w(v) = 8*b(v) + 5*x(v). Let g(t) = -t. Determine w(g(m)).\nAnswer: 4*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 12 - 28418a81?\nAnswer: -28418a6a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -545*j**2 + 607470*j - 1157950866.\nAnswer: -1090*j + 607470","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, i: 1, j: 1, g: 2}. What is prob of sequence tgg?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 4*g - 52 = -4*l, 5*g = 20. Let c(j) = -2*j**3 + 82*j**2 + 87*j - 123. Let o be c(42). Let x = -2 + 4. Solve -o*y - z + x = -l, -2*z = -y + 7 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 53 - 100 - 4*s**4 + 2*s + 49 - 4*s**2 + 3*s**3 to x + f*s + b*s**4 + v*s**2 + u*s**3 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*c - 535958 + 535958.\nAnswer: -3*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-36)\/(-9))\/(7*(-8)\/(-140))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -24849, -28068, -31287, -34506?\n\"Answer: -3219*v - 21630","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3203 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -35+-0.0456547176277\nAnswer: -35.0456547176277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -42.37 - -5.07. Let m = g - -37.5. Which is the nearest to m? (a) 0 (b) -4 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4185?\nAnswer: 3, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6956691um in millimeters?\nAnswer: 0.0006956691","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b - 3*b + 15. Factor 3*l**3 - l**3 - l**2 - 2*l**b + l**3.\nAnswer: l**2*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) 0.6 (c) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d**5\/3 - 712*d**4\/3 + 10320*d**3 + 21600*d**2 = 0.\nAnswer: -2, 0, 90","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9117 and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dl when two letters picked without replacement from dllldddddddddl.\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes after 8:36 AM?\nAnswer: 10:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -147*y - 205*y + 5676111 = -4382641. List the prime factors of y.\nAnswer: 2, 19, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9383, 10617, 11753, 12743, 13539, 14093, 14357, 14283?\nAnswer: 13823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the third derivative of l**6\/420 + l**5\/70 + l**4\/28 + l**3\/21 - 2*l**2. What is r in t(r) = 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -17 + 17 + 10*q**3 + q**3 + 0 + 0 + (-2 + 0 - 1)*(2*q**3 + 1 - 1) + (-1 + 3 + 0)*(0*q**3 + 0*q**3 - 2*q**3) - 2 + q**3 + 2.\nAnswer: 2*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 826, 824, 834, 862, 914?\nAnswer: 996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccooccccoooccccococ. Give prob of picking 1 c and 3 o.\nAnswer: 35\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 57*l**2 + l. Let r be q(-1). Let t = r - 38. Suppose 3*b = 6*b - t. Calculate the remainder when 19 is divided by b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 1 - 3 = 0. Which is smaller: a or 4\/3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05366 take away 13016383?\nAnswer: -13016383.05366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1256 or 3772\/3?\nAnswer: 3772\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 23770812?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 44 = -4*d, -2*d = -5*q - 27 - 11. Suppose -d*w + 1992 = -5*w. Suppose 4*j + 2*j = w. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 less than -22864.27774?\nAnswer: -22863.27774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7329 - 7783.62. Let y = a + 451. What is y rounded to 1 decimal place?\nAnswer: -3.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -50a (base 13) to base 16.\nAnswer: -357","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - 188216.438.\nAnswer: -188218.438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 2*f**3 - 125*f**2 - 693*f - 3751. Give y(68).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(1\/5)\/(k**(-8)*k)*(k*k\/k**(-2\/5)*k)\/((k*k**(-6))\/k))**(-15) assuming k is positive.\nAnswer: k**(-249)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -49.88912 rounded to the nearest ten?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.8 - 1. Let r = s + 0.20000018. What is r rounded to 7 dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -5921*v. Let p(o) = -2*o**2 + 4336*o. Give r(p(i)).\nAnswer: 11842*i**2 - 25673456*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3431.\nAnswer: 47, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -101\/4 - -221\/8. Find the common denominator of -47\/80 and d.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10 + -8. Suppose s*h = w - h - 2, 4*w = 4*h - 24. What is the common denominator of 20 and (-10)\/(-8)*(-194)\/w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:47 PM and 12:01 AM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 + -1)\/(1\/(-11)). What is the second derivative of 2*f**2 + 8*f - 6*f**2 - p*f wrt f?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n + 3*n - n)*(1 - 4 + 1)*(-3*n + 2*n + 3*n)*(2*n**3 - 2*n**2 + 2*n**2).\nAnswer: 8*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 3*i**2 - i + 2. Let y(k) = -6*k**2 - k - 24. Let v(t) = -7*t**2 - 2*t - 31. Let j(x) = 3*v(x) - 4*y(x). Give -2*j(d) + 3*n(d).\nAnswer: 3*d**2 + d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -260866 - -0.811106.\nAnswer: -260865.188894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 + -4. Let q(z) = -z + 1. Let l be q(o). Solve -l = 2*y - 15 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6864480 to the nearest 100000.\nAnswer: -6900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3 and 58687.\nAnswer: 176061","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2460\/21*(-3)\/(-16). Let o = 2494\/3 - 10243\/12. Let u = h + o. Sort u, 1, 5\/6 in descending order.\nAnswer: 1, 5\/6, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2065 by -5.\nAnswer: -413","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 30 - -31?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2676 divided by -2.\nAnswer: 1338","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -19.9999986 - -20. Round p to six decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1327573*r = -1327540*r + 2046 for r.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1418 - 387 + 547 + 19*t**3 - 5*t**3.\nAnswer: 14*t**3 - 1258","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*w - 4 + 4)*(2*w**3 + 1 - 1).\nAnswer: 20*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 - -5. Suppose 0 = a*z + 2*z - 10. Suppose -4*q = -z*q - 30. What is the greatest common factor of 105 and q?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23247725 times 0.6?\nAnswer: 13948635","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 229259?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -373 + 748. Suppose 0 = 6*q + 57 - w. What is the least common multiple of q and 2?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 667868391?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/(7 + -4)*(10 - (-8136)\/(-810)).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tyttttyytyyyy. What is prob of sequence ty?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**4 + l**3 - l**2 - l - 1. Let h(x) = -4*x**4 + 14*x**3 - 32*x**2 + 22*x + 2. Let i(v) = -2*h(v) - 4*q(v). Factor i(c).\nAnswer: 4*c*(c - 5)*(c - 2)*(c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the second derivative of 6*s**2 + 0 - 5\/6*s**3 - 4*s + 7\/6*s**4 + 1\/20*s**5. List the prime factors of y(-14).\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n = 5*i - 17, 0 = -2*n + 4*i + 4 - 28 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the first derivative of 18*i**5\/5 + 69*i**2\/2 + 46. What is the second derivative of z(f) wrt f?\nAnswer: 216*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 + 2a888bb?\nAnswer: 2a888bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -2*d**3 - d - 2. Let x(p) = p + 1. Let s be -6 + (2 - (1 + 0)). Let w be (-1 - 0)\/(s\/10). What is w*x(l) + c(l)?\nAnswer: -2*l**3 + l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven halves of a tonne in kilograms?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*q**3 + 87*q**2 - 584*q + 42243.\nAnswer: -6*q**2 + 174*q - 584","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -5*g + 525, -d + g = -735 + 228. Let i = d - -112. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 2*x**2\/9 + 64*x\/9 - 742\/3 = 0.\nAnswer: -53, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 197*v + 224*v - 365*v.\nAnswer: 56*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**2\/11 - 76*n\/11 - 430\/11.\nAnswer: 2*(n - 43)*(n + 5)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 547 - 548. Which is the closest to t? (a) 5 (b) -5\/3 (c) 2\/11 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 72*a - 72. What is g(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the first derivative of 0*r**2 + 7\/3*r**3 - 14 + 4*r. What is the first derivative of j(q) wrt q?\nAnswer: 14*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 18241736 to the nearest 1000000.\nAnswer: 18000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1610 and 92?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 - -9. Let n = 2523668.9999986 + -2523663. Let k = n - b. What is k rounded to 6 decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b - 2*r + 8 = 0, 0 = -b + 2*r - 5*r + 8 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f*f**22)\/((f*f*f\/(f\/f**(-9)))\/f*f*f*f) assuming f is positive.\nAnswer: f**29","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -98 - -98. Suppose s - 6 + 2 = y. Solve -s*b - 15 = -5*f, b - 4*f = -b - 12 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-1 + -47)\/(-1))\/1. Suppose -r = -l - l. What is the remainder when l is divided by -10*(7 + (1 - (-289)\/(-34)))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes after 4:06 AM?\nAnswer: 2:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 561*f = 563*f + 3*d - 54, 4*f + 2*d = 84. Solve -2*g - f = 5*k, -4*g - 10*k + 11*k + 8 = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a*((a\/(a\/(a\/(a**(-5\/9)\/a))))\/a)\/a*a))\/(a*a**32))\/(a**14*a**(-4\/7)) assuming a is positive.\nAnswer: a**(-3023\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is d0 + 2?\nAnswer: d2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 5*m + 17. Let w be l(-4). Let k be 2\/(w + (-38)\/(-14))*-2. What is the highest common divisor of 7 and k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 51*a**2*d + 3099*a**2*p**4 - 6*a*d*p**4 + 113*a*d wrt p?\nAnswer: 12396*a**2*p**3 - 24*a*d*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -145, -681, -2205, -5209, -10185?\nAnswer: -17625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t - 5*r = -62, -180*t = -177*t + 3*r - 33 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:50 PM and 12:56 AM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 376 + 0.4.\nAnswer: 376.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -1 (b) 2\/7 (c) -0.7 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 1\/10 of a microgram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3.3 and -64662.3.\nAnswer: -213385.59","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-5)\/(5\/(-24)) - -7. Suppose -4*v = 11 - i. Which is the closest to 2\/5? (a) v (b) 0 (c) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13 - 0 - (316 + -325)) + 8 + 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dqscxqqsvssx. Give prob of sequence xs.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 71159317?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 + 2 = -3*w - 3*o, 0 = w - 5*o + 8. Let l(x) = -67*x + 533. Let v be l(8). List the prime factors of (-5 - v)*(-29)\/w.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 827*w**2. Let k(g) be the third derivative of -g**4\/8 - 79*g**2. What is d(k(z))?\nAnswer: 7443*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -969 - -969.4319. What is s rounded to 2 dps?\nAnswer: 0.43","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*y**2 + 106681 - 106681.\nAnswer: 35*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -m**3 - 4*m**2 + 43*m - 1 - 16*m - 2*m**4 + 1 - 20*m in the form o*m**4 + t + i*m**3 + d*m**2 + w*m and give d.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 32675209 and 414687.\nAnswer: 10633","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6103*y = -6126*y - 1817 for y.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2373106223 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -129 - -329. Is p a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28275*o = 27856*o + 419 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-58)\/1 - (-7728)\/483\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the third derivative of 5\/2*y**3 - 19*y**2 + 0*y + 25\/24*y**4 + 0 + 1\/6*y**5. Factor i(d).\nAnswer: 5*(d + 1)*(2*d + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - (1 + -3)) + 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13069 + 17626. What is the highest common divisor of 245 and k?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -15135 + 15735. What is the highest common divisor of 330 and p?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6 of a minute in milliseconds?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -19\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 974842?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 5*k - 10. Let s(t) = 6*t - 9. Let z(m) = 3*n(m) - 4*s(m). Differentiate z(x) with respect to x.\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -12*s + 1. Let u be m(-10). Suppose -4*f = -u - 3. Let j = f + -7. Does 8 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.2 (b) 0.137 (c) 467 (d) -1.7 (e) 4\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12 - 11. Is r < 16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13\/((-455)\/(-25)))\/((-8)\/(-14)).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/200*-6)\/(57\/285*(-45)\/6).\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -4161362, -8322613, -12483862, -16645109, -20806354?\n\"Answer: n**2 - 4161254*n - 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 2 = 23. Suppose 2 = -w - g*f, 5*f + 6 + 8 = 3*w. Suppose 0 = 2*c + c - 5*z - 5, -3*c + 45 = w*z. Is c a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11308 - -11618. What is the remainder when k is divided by (2\/(-6))\/(7\/(-126))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3600788ng to grams.\nAnswer: 0.0000000003600788","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 185 + -193. Let x(r) = -r**2 - 13*r - 40. Let p be x(c). Solve -3*f - 1 - 5 = p for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**9)\/(k*k**2) assuming k is positive.\nAnswer: k**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 409104333 and 891.\nAnswer: 3681938997","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -13*u**4 + 15*u**3 + u**2 - 119*u. Let f(c) = -11*c**4 + 18*c**3 + c**2 - 118*c. Let m(o) = 2*f(o) - 3*z(o). Find the third derivative of m(d) wrt d.\nAnswer: 408*d - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17519011567 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1138, -4396, -9836, -17464, -27286?\n\"Answer: -l**3 - 1085*l**2 + 4*l - 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 291*m - 726510 = 169*m + 863760. What is the highest common divisor of 99 and m?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4046*f + 12494*f - 4169*f - 4129*f.\nAnswer: 150*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-2 + -4) - (-72)\/(-54).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 10*d**2. Let c(l) be the third derivative of -l**6\/144 + 17*l**4\/24 + l**3\/3 + 29*l**2. Let x(f) be the second derivative of c(f). Determine r(x(o)).\nAnswer: 250*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -38, -288, -946, -2216, -4302, -7408, -11738, -17496?\n\"Answer: -34*f**3 - 12*f + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 5*o**5\/2 - 5*o**4\/2 - 65*o**3 - 15*o**2 + 765*o\/2 + 675\/2 = 0.\nAnswer: -3, -1, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**2 + 11*q - 64. What is h(18)?\nAnswer: -190","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.4 + -19.4. Let x = 26 + o. Let v = 5.9 - 0.9. Which is the second biggest value? (a) v (b) -5 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-13444 + 531*i**3 + 13444)*(-6 + 3 + 1) in the form x + d*i**2 + b*i**3 + n*i and give b.\nAnswer: -1062","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**3 + 1. Suppose -3*a = 5*n - 4*a - 41, 0 = 2*n + 2*a - 26. Let l be 3 + (1 - (3 - 1)). Suppose -l*s + n = m, 2*m - 1 = -2*m - s. Calculate j(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9\/478 in -5, 145, 0.3, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w**2 - 3*w**2 + 4*w**2)*(-26*w + 10*w + 10*w) + w - w**3 - w + (3*w**2 - 2*w**2 + 0*w**2)*(-w + w - w) + 3*w**3 - 6*w**3 + w**3.\nAnswer: -22*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101000 - -1010010?\nAnswer: 101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2653 + 2677. Is 23 at least as big as u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2950, 11568, 25858, 45814, 71430, 102700, 139618, 182178?\nAnswer: 230374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -22637 + 22633. Let i(h) = 6*h + 1. Let s be i(-1). Sort -1\/3, s, -0.2, u in descending order.\nAnswer: -0.2, -1\/3, u, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4102 - -5.\nAnswer: 5.4102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 71 - 51. Let c(h) = 9*h + 8. Let d(q) = q + 1. Let r(l) = c(l) - 6*d(l). Calculate the remainder when k is divided by r(3).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -24, 2 in decreasing order.\nAnswer: 2, -6, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/((-12)\/(-6) - 3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 731480?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 0*b - 11*b**2 + 3*b + 8*b**2 = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1bb190 (base 12) to base 10.\nAnswer: -496188","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3 or 10\/651?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 2*o**3 + o**2 - 3*o - 3. Suppose 0 = -3*c + 16 - 4. Is 43 a factor of f(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 - -1. Let l be (36\/(-21))\/(u\/(-14)). Calculate the highest common divisor of 12 and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b = 4*p + 144, -2415*b + 2411*b = -16*p - 192 for b.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -6*i**2 + 174*i - 60. Let s be c(28). Solve -78*m = -s*m - 270 for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(2 + -3*(-2 + sqrt(300) + sqrt(300) + sqrt(300) + 1 - sqrt(300) - (1 + sqrt(300))*1)**2*5)*-1.\nAnswer: -9116 + 1200*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2328779 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 2612*k**2 + 19*k + 58. Is j(8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 55\/814359 and 5\/1197.\nAnswer: 2443077","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 3*l**3. Let b(s) = -4*s**3. Let o(h) = -2*h**2 + 8*h + 4. Let m be o(5). Give m*r(g) - 4*b(g).\nAnswer: -2*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**2 - 25*f - 84. Let p be i(-6). Solve 11*a - 17*a = -p for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/62524 and -109\/28.\nAnswer: 62524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 66041218?\nAnswer: 2, 71, 465079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(243) - sqrt(243)) + -2 + sqrt(243) + sqrt(243) + sqrt(243))**2.\nAnswer: -36*sqrt(3) + 247","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -55 - -77. Is 8 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-3)*5\/(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1557 is divided by 412?\nAnswer: 321","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 19 + 0*b + 0*b - b**3.\nAnswer: -b**3 + 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 23227050 and 770?\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 7744.137 grams?\nAnswer: 7744137000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 272 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -32*d + 10 - 14 + 8 to r + k*d and give r.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 26, 54, 82, 110?\nAnswer: 138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -156303, -625116, -1406423, -2500224, -3906519, -5625308?\nAnswer: -7656591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 185 and 2165.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*s + 2*s - 34 = 0. Suppose 5*n - 824 = 4*v, -170 = -3*n + s*v + 324. What is the tens digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 + -20a50b85?\nAnswer: -20a50b88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-29 - 1)\/(3\/(-15)*2). Suppose 4*c = -p + 125, -3*c = -3*p - 30 - x. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -47 and -3.\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-five halves of a litre?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -3*b + 12, -4*b + 3*r = -5*b - 6. Let j = b - 3. Suppose -f + 1 + 10 = j. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (166\/6)\/((-1)\/(-9)). Find the common denominator of 77\/8 and f\/36 + 5\/(-15).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.1 (b) -0.016 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g when three letters picked without replacement from {y: 2, g: 11}?\nAnswer: 15\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -87\/2850628 and 29\/4405516.\nAnswer: 48460676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**2 - 4*t + 9730. Let a be o(0). Suppose 0 = 8*l - a + 1914. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -136085 and -136043 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*n = -84*n + 1942 + 312. Solve -n*a = 169 + 76 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 47 = 2*l + 3*v, 0 = -5*l - v - 92. Let n be (l - 2)\/((-9)\/6). Let m = 132 - 125. Calculate the greatest common factor of n and m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 374929164.\nAnswer: 2, 3, 23, 452813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 10, n: 2}. Give prob of picking 1 i and 1 n.\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7587505.\nAnswer: 5, 307, 4943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 492?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:29 AM and 2:02 AM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, -0.369, 0.5, 2\/5?\nAnswer: -0.369","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**2 + 2*y - 12. Let g be q(-5). Let f(t) = -g*t + 35 + 29 - 66. Give f(-5).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/3121, -3, -0.7, -5, 4, 1\/6?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.44699826663368 - -1\nAnswer: 1.44699826663368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 2 + 2 = 0, 22 = 4*w - m. Solve -f = p - 6*p - w, 0 = -5*f + 5*p - 10 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-four fifths of a milligram in micrograms?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 56073236 (base 8) in base 6?\nAnswer: 1111035314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.071 and -2.04974?\nAnswer: 0.14553154","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3\/(-4 + 3381\/843).\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 41 and 8774.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 10*l**5 - 8*l**3 - 2*l. Let h(y) = -y**5 + y**3 - y**2 + y. Let v be 14\/(-12) + (-2)\/(-12). Let n(d) = v*x(d) - 2*h(d). Solve n(i) = 0.\nAnswer: -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -847614*h**2 - 314155?\nAnswer: -1695228*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -1483.\nAnswer: 2\/1483","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3540 + 3007. Suppose 18*d + 1579 = p. Suppose -3*o = -k - 763, -4*k = -o - 8*k + d. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -10 + 25, 0 = 3*k + s + 28. Let q = 21 + k. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*3\/48 + 352\/220 + 295\/(-200).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-96)\/(-5)*20\/6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3268?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -2*j**2 + 104*j + 568. Calculate m(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 36 + 1103*s**2 + 5*s - 2462*s**2 + 1123*s**2 + 2*s**3 - 36 in the form x*s**3 + j + l*s + p*s**2 and give p.\nAnswer: -236","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 55 - 5206?\nAnswer: -5121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -1\/8 (b) -51 (c) 222 (d) -2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-2\/3)\/k*k**(-1\/9)*(k**2\/k*k)**8 assuming k is positive.\nAnswer: k**(128\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 2*w + 60. Suppose 7*p = 178 + 25. What is the remainder when p is divided by (2\/4)\/(2\/w)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -bb4 (base 13) to base 10\nAnswer: -2006","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhqhq. What is prob of sequence qq?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i - 5, i = -5*f + 4*i + 1310. Let j = f - 259. Solve 5*g + 6 = 21, j = 2*m + 4*g - 20 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1711918.98 - -650?\nAnswer: 1712568.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37 = -3*y - 5*a, -4*y + 2*a + 39151 - 39119 = 0 for y.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 361405 is divided by 235?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -6*h + 7 - 36, 0 = -3*a + 5*h + 5. Let n(p) = -39*p. Let w(g) = -38*g. Calculate a*n(r) + 6*w(r).\nAnswer: -33*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 33519, 33534, 33553, 33576, 33603?\nAnswer: 33634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 1\/693?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -19327*d + 38554 wrt d.\nAnswer: -19327","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(2\/7)*z*z*(z**(-1\/2)*z)\/z*(((z*z\/z**7)\/z)\/z)\/z**(2\/5))**(-9) assuming z is positive.\nAnswer: z**(3267\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*i = -19*i + 37400. What is i rounded to the nearest one thousand?\nAnswer: 19000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/(-21)*2\/5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 984712 and 43007?\nAnswer: 1483","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 230600 rounded to the nearest 100000?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -9\/5, -0.05, 110834?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 + (39 - 39 - 21)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -102*f - 126 = 52*f - 126 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 475 = 143. List the prime factors of f.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and -6869475.\nAnswer: -34347375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 330390 and 63.\nAnswer: 2312730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 14421926 to the nearest integer?\nAnswer: 243","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17670*o + 2*h + 18 = -17673*o, -5*o - 4*h = 32 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 423612995 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: Solve 64*a - 875 = -335 + 548 for a.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**1)**(8\/17)*(i*i**(3\/4)*i)**(-49) assuming i is positive.\nAnswer: i**(-9131\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -520 divided by 26.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-3)\/(c*c*c**(-1\/3)))**46 assuming c is positive.\nAnswer: c**(-644\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 38*n - 14\/5*n**2 + 84\/5 = 0.\nAnswer: -3\/7, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*l - 2424 + 29157 = 0. Let u = -296 + l. What are the prime factors of u?\nAnswer: 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5*n*q**2 - 2*n*x + 228*q**3*x + 87*q**3 wrt x?\nAnswer: -2*n + 228*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -779*i + 5. Let f be k(-1). Suppose 0 = 2*o + g - 642, 0 = 3*o - g - f - 179. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14.0451 + 148.1671. Let i = 134 - v. Round i to 2 decimal places.\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 2*u - 74493 + 243779, 4*i = 5*u - 225753. Let s = -79432 - i. What is s rounded to the nearest 10000?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*u**3 - 8*u**2 + 192*u + 128 = 0 for u.\nAnswer: -4, -2\/3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 7593020 times -0.1?\nAnswer: -759302","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 + -1 + 12\/(-6). Let p be (b - 2)*2\/(-3). Suppose s - p*s = -3. Solve -z - 9 = -4*w + s, -z = w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 122299410 to the power of 1\/3, to the nearest integer?\nAnswer: 496","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -49 - -30. Let n = a + 21. Suppose 0 = -5*k - 17 - 3. Sort n, -3, k, 7.\nAnswer: k, -3, n, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4524, -8967, -13412, -17859, -22308, -26759?\nAnswer: -31212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(325) + 3)*-3)**2.\nAnswer: 270*sqrt(13) + 3006","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 112128376*y**2 - 82571207?\nAnswer: 224256752*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3716, 4, 0.05473?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1001386, 1001386, 1001384, 1001380, 1001374, 1001366?\n\"Answer: -h**2 + 3*h + 1001384","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100000111000110100111 + 101011?\nAnswer: 1100000111000111010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -828 = -248*z + 110*z. What is the nearest to -1 in z, -7\/2, 3?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from cucwuwwuwyuycz.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 + 11)*(4\/(-72))\/(-1).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*r = -5*s + 684, 0 = 3*s + 2*r - 151 - 169. Let h = 18 - -36. Calculate the remainder when s is divided by h.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -92 - -511. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1964.\nAnswer: 2, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1638 a factor of 152692722?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -22 + 47\/2. Let p = 17 - 16.9. Suppose -3*y + 1 = -2. Which is the closest to y? (a) 2 (b) d (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w - 9. Give j(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1494*j**3 + 7247*j**3 - 5752*j**3.\nAnswer: j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 558*u - 1112*u + 556*u.\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**10*m*m**(1\/9)*(m\/(m*m*m**(-5)\/m))\/(m\/m**(-1)*m))**27)**(-12\/7) assuming m is positive.\nAnswer: m**(-4248\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.045 and 0.905.\nAnswer: -0.040725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*1*1*sqrt(176))**2 + 4 + -2 + (0 + sqrt(176))*1 + -1*sqrt(176) + -2 + 1.\nAnswer: 1585","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.53 - 0.03. Let f = -17.21 + 17. Let g = f + 0.01. Which is the smallest value? (a) g (b) 3 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 4 (b) -3\/2 (c) -0.2 (d) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 2*p**3 + 15*p**2 - 30*p - 11. Let z(l) = -l**3 - 7*l**2 + 14*l + 5. Let v(r) = -4*t(r) - 9*z(r). Let j = -63 + 93. Let n = j - 34. Calculate v(n).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 152*i - 75 = 139*i - 2*t, 3*i = -2*t + 45 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 62891*d + 1320706. Determine s(-21).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -5*f**2 - 2*f + 5. Let v be u(-4). Let q = -44 - v. Solve 5*j - 2*z + 16 = 0, -4*j - 3*z + 1 - q = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express x + 2*x - x + ((1 - 1 - 2)*(2 - 5 - 1) + 2 - 2 - 2)*(2 - 4*x - 2) in the form f + h*x and give h.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1*2 + 14\/(-9). Let v = 27130 - 27130.5. Which is the closest to -0.1? (a) o (b) v (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-914)\/1068 + (-20)\/30. Let i = -2\/89 - g. Let f = 255.4 - 255. What is the third smallest value in -1\/7, i, f?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.8315333491 to five dps.\nAnswer: -0.83153","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 15*d**4 + 2*d**3 - 5*d**2 + 142*d + 2. Let z(h) = -h**4 - h**3 + h**2 + h - 1. Let j(i) = n(i) + 2*z(i). What is the second derivative of j(a) wrt a?\nAnswer: 156*a**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 786027.6t in kilograms?\nAnswer: 786027600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1003?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**2 + 5*s + 2. Let x be o(-3). Let i(z) = -6*z + 99. Let k be i(16). Find the common denominator of 2\/k*(-3)\/x and -2\/5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -455*p = -493*p - 380 for p.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1437901, 2875800, 4313699, 5751598?\nAnswer: 7189497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -5*v - 15. Let k be c(-4). Let n(i) = i**2 - 3*i - 6. Let z be n(5). Suppose 4*a - 16 = -0*g - z*g, a = g. Solve -9 = g*q - k*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**3 + 4*c**2 + c + 2. Let r be u(-4). Let g be (r - -1) + (0 - -1). Let d(q) = -2*q**2 + 5*q + 1. Let f be d(3). Do g and f have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 306*n**2 + 667*n + 112. Calculate b(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14, -42, -126, -232, -354, -486?\nAnswer: -622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.595757 decades in millennia?\nAnswer: 0.00595757","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/2533260 and -121\/54.\nAnswer: 22799340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -28 (b) 2\/9 (c) -0.2 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8234 divided by -4117.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v + 75 + 73. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -1 (b) -1\/4 (c) -1\/3 (d) -45721\/14 (e) -0.5 (f) 5\/4 (g) -2\/57\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 115 is divided by 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 1771502?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 - -11. Suppose 5*z = r + 8. Suppose -2820 = -v + 5*v + 4*o, -z*v + 3*o - 2145 = 0. Round v to the nearest 100.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -45012312 and -45012312 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1056316 minus -50.03?\nAnswer: 1056366.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -85 (base 16) in base 10?\nAnswer: -133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add -31657 and -557015343.\nAnswer: -557047000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 18*j**5 + 19*j**5 - 9*j**5 + 15*j**2 wrt j?\nAnswer: 1680*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the first derivative of -u**4\/4 - 19*u**3\/3 + u**2\/2 + 21*u - 5. Let b be t(-19). What are the prime factors of 1*5 - 0\/b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 973 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 35225 divided by 874?\nAnswer: 35225\/874","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 37*j**2*v**2 + 1700700*j**2*v + 85831198*v**2 wrt j.\nAnswer: 74*j*v**2 + 3401400*j*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -282 = y + 342. Let c = 15602\/25 + y. Is -1 <= c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10568, -42204, -94962, -168842, -263844, -379968?\nAnswer: -517214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 - 18)*(120\/(-3))\/10. Suppose -9*u + 13*u + 4*v - j = 0, 4*u + 2*v - 74 = 0. Is u a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-66)\/(-55))\/(4\/10). Let p(j) = j**2 + 2*j. List the prime factors of p(m).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**3\/12 - 25*d**2\/12 - 175*d\/12 - 125\/4.\nAnswer: -(d + 5)**2*(d + 15)\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*q**3 + q**3 + 2*q - q**3 + q**2 + q**3 - q**2 + 0*q**3 + q**3 + 0*q**3 + (-q**2 - 1 + 1)*(0*q + 2*q - 3*q) - 3*q - 3*q**3 + 3*q.\nAnswer: -2*q**3 + 2*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -487, -578, -669, -760, -851?\n\"Answer: -91*f - 396","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -812*h + 7768 + 44200 = 0 for h.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 3*o + 2 = -13, -3*c + 5 = -o. Suppose m - 14 - 77 = c. Let k = -7470 - -7478. What is the smallest common multiple of k and m?\nAnswer: 728","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -233916, -233730, -233544, -233358?\n\"Answer: 186*k - 234102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 212 by 106.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1156 is divided by 358?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -3\/23, -2\/13, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8239 is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -204762179 less than or equal to 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 249?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**2 + 6*j + 3. What is a(-4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32808*r + 33001*r - 65808*r.\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes before 2:41 AM?\nAnswer: 2:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 393427 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -99*j**2 - 897*j - 57. Determine n(-9).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 9*f - 4*f. Let c(m) = m**3 - 4*m**2 + m + 4. Let g be c(f). Suppose 10*s = g*s + 886. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes before 3:50 AM?\nAnswer: 10:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, q: 1, y: 1}. What is prob of sequence oy?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xgxgxgxxggmxxm. Give prob of sequence mgg.\nAnswer: 5\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence alh when three letters picked without replacement from dblhuua?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62*-2*2\/(-8).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -t**2 + 4 - 4 + (-6*t + 2*t - 5*t)*(-24 - 2*t + 24) to y + a*t**2 + v*t and give a.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 855 is divided by 280.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -525, -1 in decreasing order.\nAnswer: -1, -4, -525","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -4, 1\/53, -17.5?\nAnswer: 1\/53","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12136056 and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (314 - 1) + -6*4\/8. Does 10 divide r - (-1 - (0 + 4))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 157 a multiple of 115?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u - 10 = -2*n, 2*n - 2 = 93*u - 92*u for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -1318*v**2 + 2*v**3 - 1320*v**2 + 2629*v**2 + 3 in the form j*v**3 + w*v + s*v**2 + o and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/(((-1)\/(-23))\/1). Let q = z - -36. List the prime factors of q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3491.947 and 0.11.\nAnswer: 3492.057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -28 + 15. Let x = j - -15. Suppose o = x*o - 56. List the prime factors of o.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w = -y - 4, 3*y - 2*w = 132 - 136 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.97*32.9424\nAnswer: 31.954128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.356 + 389.206\nAnswer: 389.562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 575127239 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -38\/31 and 1\/56*11795\/30 + -7.\nAnswer: 1488","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 2\/9, 1\/5, -0.01, -131?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 0 + -6 + 17.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-17)\/(-7) + (7 - 14)\/7. Which is greater: g or 1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 77 - 39*q**2 + 42*q**2 - 66. Let t = -14 + 18. What is the units digit of x(t)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(7200) + 1 + sqrt(7200) - (sqrt(7200) + (sqrt(7200) - sqrt(7200)*1)))*3)**2.\nAnswer: 1080*sqrt(2) + 64809","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*q + 2*q - 32 = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nxxtnmnmnrfnnrnt. Give prob of sequence rt.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 2*m - 15. Let o be k(10). Suppose 5*q + 2*t - o*t = -3, -t + 1 = q. Let 2\/5*y - 2\/5*y**3 + 2\/5*y**2 - 2\/5*y**4 + q = 0. What is y?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 19932.3 + -19932. Which is the biggest value? (a) y (b) -3 (c) 4 (d) 1 (e) 3\/29\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/12 + 20\/(-12) - 5.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -700*w + 25791 = 55884 + 42007 for w.\nAnswer: -103","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 351*f**2 - 313*f**2 + 0.\nAnswer: 38*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 + 3. Suppose r = 3*y - 3*t - 6, -y - 3 - 3 = -5*t. Suppose -5*u + 3*n = 83 - 68, 4*n - 20 = -2*u. Solve -c = -y - u for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = 4*x + x - 5, 4*x = -2*k + 6. Let q = 3 - k. Calculate the least common multiple of 6 - 2\/(0 + -1) and q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -145, -268, -373, -460, -529, -580, -613?\n\"Answer: 9*b**2 - 150*b - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.42 + -2.12. What is the closest to -0.3 in -1, 3, p?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*m**4\/2 - 7749*m**3\/2 + 3332433*m**2 - 952155936*m - 1917672624 = 0. Calculate m.\nAnswer: -2, 833, 876","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4560)\/((-480)\/(-20)))\/(-10)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 80 and 64.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the second derivative of q**4\/4 - q**3 + 5*q**2\/2 + 273*q - 1. Determine x(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes after 10:03 PM?\nAnswer: 5:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9\/1384 + -49177\/6920. Let g = -232969\/20 - -11654. Find the common denominator of g and i.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 + -7 - 6 - -2) + 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 divided by 226237?\nAnswer: 28\/226237","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 141040 is divided by 4146?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 120488 to the nearest integer?\nAnswer: 347","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -5*c - 1. Let y(l) = 3956*l + 10. Give -12*i(m) - y(m).\nAnswer: -3896*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30\/(-25)*(-56)\/(-3276)*15?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 13*l - 51*l - 228 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3693 - -6673. What are the prime factors of x?\nAnswer: 2, 5, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 5*t**2 + 2*t - 3. Let d be b(6). Suppose -4*l - 3*l + d = 0. Suppose 0 = -25*f + l*f - 40. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 15, 40, 69, 102?\n\"Answer: 2*p**2 + 19*p - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -374 + 379. Solve -x*p = -10*p - 5 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.3 (b) -5 (c) -0.6 (d) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12 and 7908?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -66 + 32. Let z = -34.95 - x. Round z to one dp.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a week in minutes?\nAnswer: 6300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 - (-13 - -6 - 5) - -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -111*t - 3. Let c be r(-1). Calculate the highest common divisor of c and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 2*n - 9, 6 = -5*i - n. Let z(x) = x**2 - 7*x + 7. Let c be z(6). Let y be 3\/6 + c\/i. Let a(r) = -r**3 - r**2 + 9. What is a(y)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the third derivative of i**8\/42 - 13*i**7\/210 - i**5\/60 - 2039*i**3\/6 - 1144*i**2. Find the third derivative of n(v) wrt v.\nAnswer: 480*v**2 - 312*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -50384448 divided by 87473.\nAnswer: -576","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**2 - 4*s + 5. Let b be r(-4). Let v be (-3)\/(-6)*240\/10. Solve b*f + v = f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 161\/(-28) + (-6)\/(-8) - -565.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -590.6 - -424. What is o rounded to the nearest integer?\nAnswer: -167","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 + 1 - 2)\/(-2). Let s = k + 0. Let o be (-3)\/(-6)*(-4)\/2. Is o greater than or equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**3 + 2*o**2 - 2*o - 1. What is u(-4)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 5*w + 12, 0 = 4*w - 4*f - 0 + 32. Let r be 8\/w + 1 - -76. Let u(i) = -75*i + r*i - 2*i**2. Let o(n) = -4*n. Give u(o(c)).\nAnswer: -32*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 80072582 to the nearest integer?\nAnswer: 431","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/3 - (-33)\/9. Let p = w - -3. Suppose -2*q = -p*q + 4. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 643290 a multiple of 205?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 - -11. Let 8*n**5 - 9*n**5 - n**5 - z*n**2 - 2*n**3 - 26*n**5 + 34*n**4 = 0. Calculate n.\nAnswer: -2\/7, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16643741 a multiple of 111?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**2\/9 - 493480*k\/9 - 47594254\/3.\nAnswer: 2*(k - 247029)*(k + 289)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 + 0.4. What is the second smallest value in -0.4, -3, i?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 91 - 144. Let p = l + 52.999968. 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: Expand (2 + 17 + 41)*((-2 + 1 + 0)*(3 - 4 + 0) + 0 + 30 - 10 + 3 - 2 + 1)*(-5*q - 2*q + 5*q).\nAnswer: -2760*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 3*w**2 + 0*w + w**2 - 5*w**2 - 4*w + 7. Let b be 1*-10 - (-11 - -7). Give p(b).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -404*b**5*y**3 - 3*b**4*y**3 + b**2*y**3 + 604*b*y**3 - b wrt b.\nAnswer: -24240*b**2*y**3 - 72*b*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -25*a**3*g - 194*a**3 - 26*f*g - 4*f with respect to g.\nAnswer: -25*a**3 - 26*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -12147 times -2810.8?\nAnswer: 34142787.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13 (base 13) to base 10.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -t - 22, -3*m - 3*t + 18 = -0*m. List the prime factors of m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 * 640\nAnswer: -640","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 94898791 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(832) + 0)**2 + 1.\nAnswer: -32*sqrt(13) + 837","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5*c**2*x - 60*c**2 - 13*c*x + 97*c - 162*x wrt x?\nAnswer: -5*c**2 - 13*c - 162","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + 225*b - 229*b - 108 = 0, -10*o + 4*b + 84 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1.2 from -0.87.\nAnswer: 0.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 50662896 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 950399*l**2 + 5841*l + 78?\nAnswer: 1900798","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes after 11:46 PM?\nAnswer: 10:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1020 is divided by 327?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:09 AM and 7:19 PM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 43\/164 + -1\/82. Let r be 299\/(-390) - 4\/(-24). Which is the closest to r? (a) -4 (b) 4 (c) 1\/3 (d) i\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzzzzzxzzzzzzzzzzx. What is prob of sequence zzx?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -182 (base 10) to base 11.\nAnswer: -156","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 201*y - 118*y = -211*y - 22638 for y.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((p**1\/p*p)\/p)\/p)\/p)**(-9)\/(p**0)**8)**29 assuming p is positive.\nAnswer: p**522","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 45197 + -45234. Let u be 3*2*(-3)\/(-45). Which is bigger: u or s?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 22780*f**3*x**3 + f**2*x + f*x**3 + 5978*x**3 wrt f.\nAnswer: 136680*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r = 2503*c - 2504*c - 3, 0 = 4*c + 5*r + 9 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rbbrbtbbobywbrrb. Give prob of picking 1 o and 1 b.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3 - 7*k**4 + 5*k**4 + 5*k**4 wrt k.\nAnswer: 12*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-160)\/12)\/(6\/(-9)). Let d be 1*1*-35*a\/50. Let s = 103 + d. What are the prime factors of s?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5*-104792\nAnswer: 523960","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (44\/8 - 3)*66\/55.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 + 11 = 5*q, 0 = 2*h + 2*q + 2 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.82794 rounded to 1 dp?\nAnswer: -2.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the third derivative of h**6\/360 - 2*h**5\/45 + 7*h**4\/24 - h**3 + h**2 - 14. Find y, given that q(y) = 0.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8393814 divided by 40.\nAnswer: -4196907\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10 in -4, 90, -0.5, 7\/9?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes after 6:48 AM?\nAnswer: 7:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 7*v**2 - 74*v - 227. Let d be b(-3). Solve 126 = 16*u - d*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 19446, 38886, 58326, 77766, 97206, 116646?\n\"Answer: 19440*u + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(-10)*0 + (-3676)\/(-4). Suppose -n = -13*q + 992. Is 291\/2 at most as big as q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 3*j - 24 = -6*j, 5*j = -d + 24. Suppose -f + 5*m + 25 = d*f, -2*m - 4 = 4*f. Which is bigger: 138 or f?\nAnswer: 138","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1511 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1162 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10851796309611777.39999999 - 10851796795192744.4. Let d = c - -485580990. Let q = 23 - d. What is q rounded to 7 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -21983 or -22085?\nAnswer: -22085","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1867 + -179. Does 8 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange v**3 + 2*v**2 - 2*v**2 + (0*v + 2*v + 0*v)*(4*v + 107 - 107)*(-v + 0*v + 2*v) to b*v + u*v**3 + m*v**2 + g and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of d**3 + 1849250*d**2 + 39106359*d.\nAnswer: 6*d + 3698500","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 33256915 to the power of 1\/3, to the nearest integer?\nAnswer: 322","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -2*n**2 + 13*n - 9. Let w(p) = -1. Calculate -4*w(a) - x(a).\nAnswer: 2*a**2 - 13*a + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -40344242440 + -4?\nAnswer: -40344242444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-5))\/(((180\/9)\/(-10))\/(-170))\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w = -4*w. Suppose 5*f - 5 = 0, -3*k - f + 2 + 2 = w. Which is smaller: -2\/7 or k?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (28*j**2 - 96*j + 96*j)*(-1 + 6 - 2)*(-4 + 4 - j).\nAnswer: -84*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**2 + 2*b - 9. Let t be f(3). Suppose z - 2760 = -4*u, 2*z = 7*u - t*u - 699. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 208279 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - ((-11)\/4)\/(80\/64).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -58217.\nAnswer: 5\/58217","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are -2 and -367\/903 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 7\/(-21) - 68\/(-6). Solve 0 = 5*c + p + 9 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/2, 5\/6, -5, 654?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**3 - s**2 - 2*s + 2. Let y be j(2). Let q(a) = 3*a**3 + a + a**3 - 6*a**3 + y*a**2. List the prime factors of q(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vll when three letters picked without replacement from ilvvvllvvvvvvlvvvvvv?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Is 1425283 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 59755 to the power of 1\/5, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 21*t. Let p(v) be the second derivative of -v**4\/12 - 7*v. Determine p(r(b)).\nAnswer: -441*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 12 - (-2 + 2) - 0. Suppose 14*h = s*h + 448. Let o = -2563 - -2579. Calculate the greatest common divisor of h and o.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and 461?\nAnswer: -92.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -290413, -290455, -290497?\n\"Answer: -42*j - 290371","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5585?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -7 - (3 + 5 + -9).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -110c8 (base 16) to base 7\nAnswer: -410410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 129*v**3 - 596*v**3 - 450*v**3 + (2*v**3 - 3*v + 3*v)*(1 + 5 - 4) + 3*v - 2*v**3 - 3*v.\nAnswer: -915*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112 + 79 = d + 2*y, -y - 191 = -d. Let c = 272 - d. What is the greatest common divisor of 9 and c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -19*v**2 - 543*v + 596. What is h(-26)?\nAnswer: 1870","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 0 + 3*d**2 + 0. Let s(b) = -2*b. Let z(f) = -84*f. Let q(p) = 35*s(p) - z(p). Let i(h) = -13*h. Let a(t) = -7*i(t) - 6*q(t). Give a(o(w)).\nAnswer: 21*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g - 3*x - 72 = 3*g, -2*x = 3*g - 28. Suppose 5*w + g = 197. What are the prime factors of w?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20 + (-2 + (-1 - -1) - (-34 + 35)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-40)\/(-15))\/(4\/18). What is the greatest common divisor of 18 and f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-1)*z**0*z\/(z*z**(-2)\/z*z*z*z)*z**(2\/9) assuming z is positive.\nAnswer: z**(-7\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -57*j. Let l(y) = 7*y**2 + 651*y + 2. Give l(a(u)).\nAnswer: 22743*u**2 - 37107*u + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -66*q + 24. Determine a(-3).\nAnswer: 222","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*r**3 + 4*r**3 + r**3)*(-3*r + 4*r - 2*r + (4 - 5*r - 4)*(-2 + 1 + 0) - 3 + 3 - 2*r) to c*r + m*r**2 + f*r**3 + a*r**4 + j and give a.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55489443?\nAnswer: 3, 19, 61, 15959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -555552\/11 or -50504?\nAnswer: -50504","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000026177 to 7 decimal places.\nAnswer: 0.0000262","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1240 + -1236. Let l = 8 + 8. Suppose 0 = -3*u + 3*q, 2*u + u - l = -q. Solve u*j = -4*t + 16, g = -4*j - t + 2*t for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 5*l - 10. Solve 0 = -p - l for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 100 - 141. Let y = g - -42. Let m = -5 - -5.4. Which is the closest to 0.3? (a) y (b) m (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.08464 - -3.36324. Let w = 1.3379 - x. Let m = -1.95 - w. Round m to three dps.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4846409 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 10 - 52d7b?\nAnswer: -52d6b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 1065 divide 54984885?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 106358 is divided by 52492.\nAnswer: 1374","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 20 = -2*x + 3*f, 5*x - f - 24 = 0. Which is the smallest value? (a) -3 (b) x (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 961 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 97861 is divided by 823.\nAnswer: 747","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -9*(2 + (-39)\/18). Let l = -0.7316 + 0.2316. Which is the nearest to -0.2? (a) l (b) i (c) -5 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000001423 rounded to six dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -803230 = -9120*x + 26210*x for x.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.6 - -0.1. Suppose -8*n = 24*n - 2752. Suppose 24*w + 62 = n. Which is the closest to w? (a) z (b) -1 (c) 0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -2*g**3 - 4*g**2 + 4. Let m be w(-3). Let h = m + -14. Suppose -k - 8 = -2*k. Solve k = -4*p - h for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x**5\/10 + 50539*x**4\/10 + 638168433*x**3\/10 - 9583193179*x**2\/10 + 4472487103*x\/5 = 0. Calculate x.\nAnswer: -25277, 0, 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 5926, 11988, 18182, 24502, 30942, 37496, 44158, 50922?\n\"Answer: -b**3 + 72*b**2 + 5853*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 99301?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**3\/2 - 441*m**2\/2 + 2619*m\/2 - 3915\/2.\nAnswer: (m - 435)*(m - 3)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3 - 2*(-1)\/1. Let l be (-2 - b)*-3*5. Calculate the highest common divisor of l and 60.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*u**4 - 4 + 4 + (u**2 + 2*u**2 - u**2)*(3*u**2 - u**2 + u**2) to the form w*u**2 + k*u**4 + h*u + q*u**3 + a and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 132125 is divided by 1809.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4\/4 - -11) + -1 + 4. Solve l = -k - 4*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 145 (base 9) to base 12.\nAnswer: a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -2*v + 3*i, -v - v - 4*i = 30 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**3 + 1510*v**2 - 14998*v - 81. What is l(10)?\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1263008687 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -2*sqrt(171) + -5 - (-3 + 4 + -1*sqrt(171)))*4.\nAnswer: -12*sqrt(19) - 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 13, 0, -262?\nAnswer: -262","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 183, 367, 551, 735, 919?\nAnswer: 1103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(4\/5)*(p\/(p**(-2)*p*p))\/p)**(-2\/13))**(-2\/17) assuming p is positive.\nAnswer: p**(16\/1105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -95\/8 and -59\/915.\nAnswer: 7320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-5)\/15)\/(1\/12). Let y = u + 13. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 - 57 = -z. What is the remainder when z is divided by 39?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = 12*x - 6*x - 4*n, n = 2*x - 17. Solve 4*l - 94 = -5*g - 82, g - x = -3*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000020849 rounded to 7 dps?\nAnswer: -0.0000208","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -7*s**3 + 7*s**2 - s + 9. Is w(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -101121960 by 4.\nAnswer: -25280490","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 6*t = -2*k + 12, -3*t + 21 = 4*k. Suppose -9 = -c - v, 4*v = -1 - t. Suppose 3*g - 5 - c = 0. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 995558\/34 - ((-7856)\/272 - -29)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 89.72*-1.\nAnswer: -89.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37271383 is divided by 3388?\nAnswer: 3383","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.1 - 3. Let h = g - 0. Let j = h + -0.1. Which is the nearest to -2? (a) -1\/4 (b) -1 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42*k + 52*k + 48*k + 4*k**2 - 142*k.\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 7*f**2\/2 - 25*f = 0.\nAnswer: 0, 50\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3814825 to the nearest integer?\nAnswer: 1953","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 45811?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 + 11. Let q be (-2)\/3*o*2. Let n be 4*-1*6\/(-8). Put n, 5, q in ascending order.\nAnswer: q, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 286517 and 12012.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 17 - 11.5. Let l = 6 - a. What is the closest to 1\/4 in -3, -2\/11, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 2*x + 5 = 5*g, -x = 2*g - 15. Suppose 6 = x*h + 21. Let n = h + 10. What is the lowest common multiple of n and 4?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 33*v - 87. Suppose -4*u - h = -7, 0 = -u + h + 3*h + 6. Solve -v*z + u*z - 5 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 10\/1 + 2 + -3. Let z = 518 - 574. Let n be (-2250)\/(-252) - 4\/z. Calculate the greatest common factor of w and n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffffahppohppaofhfa. What is prob of picking 2 a and 2 f?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1107902 at most as big as 1107942?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**3 - 6*g**2 + 7*g + 25. Calculate s(6).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5.416*0.7.\nAnswer: 3.7912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -5*v**3 + 2*v. Let b(j) = -189*j**3 + 77*j. Determine -2*b(g) + 77*q(g).\nAnswer: -7*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -7*g + 6. Let s be (4\/1)\/(-4) - -7. Let q be s\/8 + (-23)\/4. Let r(f) = 6*f - 5. Calculate q*r(i) - 4*k(i).\nAnswer: -2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*q + 37471 = q - 16529. What are the prime factors of q?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 229738 and 116?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((56\/49)\/(-4))\/((-9)\/7)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/11 at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 - 2 = 7*q - 7*o + 7*o + 5*o + 28, 0 = -29*o + 19*o - 140 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -894 - -893.9. Which is the fourth smallest value? (a) -10 (b) -8 (c) -3 (d) q\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -145493 < -138773?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -1\/14, 2\/9 in decreasing order.\nAnswer: 2\/9, 0.2, -1\/14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 equal to 52\/65601?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (38 - 38 - 3*l)*(-284*l - 298*l - 1 + 1 + 133*l).\nAnswer: 1347*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 1653?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g + h - 2658 + 2669 = 0, 4*h + 26 = -2*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -94\/165 and -61\/211255.\nAnswer: 633765","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1313300143 (base 5) to base 2.\nAnswer: -1100011011110000011111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*c - 24 + 3 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes before 7:39 PM?\nAnswer: 12:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 264\/7 (b) 0.15 (c) -44\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 32793?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15245*v - 413447 = -509*v + 2417*v for v.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the third derivative of w**6\/120 + w**5\/12 + 5*w**2. What is the third derivative of o(u) wrt u?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 12) in base 9?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 1. Let g(s) = s**2 + s. Let v(z) = -z**2 - 2*z + 1. Let b(x) = 2*g(x) + v(x). Suppose -142 - 19 = 48*i - 305. Calculate i*w(t) - 3*b(t).\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the first derivative of 3*v**2\/2 - 54*v - 5. Suppose -17*j - 624 = -41*j. Let n be w(j). Calculate the greatest common factor of n and 108.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11807\/20 + -2055\/4. Let f = -62 + 139. Let o = k - f. Which is the third smallest value? (a) 0 (b) o (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 48229872*c*p**4 + 20930*c - 125 with respect to p.\nAnswer: 192919488*c*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 610 is divided by 97.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 4875033, 4875035, 4875037, 4875039, 4875041, 4875043?\n\"Answer: 2*n + 4875031","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 30*l + 2. Let k(r) = -13*r - 1. Let a(o) = 3*b(o) + 8*k(o). Give a(4).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1508 and 52.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8159396 is divided by 38670?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 17122 and 2030.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 9 - 45 + (0 - 4 + 0)*(-5 + 2 + 0))*(-4 - 2*m + 4) in the form a + n*m and give n.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1397.\nAnswer: 11, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -105 divided by 1237726.\nAnswer: -15\/176818","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*p + 3 - 36 = 0. Let b be (-42)\/(-154)*11 + 3*p. Solve -4*a + 16 = -b*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -7*l - 16. Let r be p(-5). Suppose -21 = -8*j + r. Suppose 119 = j*d - 2*a, a = -2*d + d + 21. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2573147779 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 516.\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18)\/(-12))\/((-3)\/(96\/88))?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 - 42335?\nAnswer: -42337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*u = -2149 + 2179. Solve -4*r - 31 = -5*v - 0*v, -2*r = u*v + 2 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 75744 to the nearest integer?\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1*(0\/2)\/(-9)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 95 = -0*u. Suppose 0 = 4*j - u + 3. Suppose 4*h = 5*x - j, -3*x - 3*h = x - 28. Solve 5*w = 6*w - x for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1026 + 1415. Does 9 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -118*o + 117*o for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(84)*-2 - 4*2*sqrt(84))\/(sqrt(12) + (sqrt(12) - sqrt(192))*3 - (sqrt(144)*2)\/sqrt(12)).\nAnswer: 6*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-12*y + 3*y - 4*y)*(9 + 2*y - 9)*(0 + 0 + y) to the form o*y**2 + p + r*y + f*y**3 and give f.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1584 is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/(-21) + 108\/(-14). Let s be 50\/14 - o\/(-2). Let q be (-8)\/20 + 8\/20. Which is smaller: s or q?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 7\/3 of a day?\nAnswer: 3360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 2.2 (b) -3 (c) 16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/3)\/(6\/(-8))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 5*b = 10, -g + 32*b - 6 = 35*b. Let a(n) = n + n**2 + 69 + 0*n**2 - 11 - n**3. List the prime factors of a(g).\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 divided by -4265?\nAnswer: -6\/4265","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 10401000 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -733 - 730 - 199 + 352*k**2 + 1662.\nAnswer: 352*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 158532?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.06 - -3.46. Which is the second smallest value? (a) 1 (b) i (c) -3\/8 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -2*d + 36. Let y = -9 - d. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -110*d - 2429. What is w(-22)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 13476 and 49412.\nAnswer: 148236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12 - -8. Let f = 2\/51 - -5\/17. What is the nearest to -1\/3 in f, 0.3, k?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -3 (b) -2\/5 (c) -4 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 4*x - 10. Let w be f(9). Let r(b) = -35*b + 20*b + w + 16*b. What is the units digit of r(-17)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hligliliilliii. What is prob of sequence iiih?\nAnswer: 5\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16099aa (base 12) to base 13.\nAnswer: c15538","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 4*f = 54, -q - 114 = 3*q + 2*f. Let c(o) = o**2 + 26*o - 82. What is c(q)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1450611 a multiple of 267?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 371 by -3432.\nAnswer: -371\/3432","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and 0.006.\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 84\/11 - 2 - 2 and 1\/11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-175252)\/77280 - 6\/10) + 3 and -49\/3?\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 258066 + -108259. Suppose 3*m + 69193 + r = 0. Round m to the nearest 10000.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 126558*l**2*m + l**2 + 5*l*m + 2*l + 827829*m wrt l.\nAnswer: 253116*l*m + 2*l + 5*m + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43 + -51 - (-126)\/16.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 123, 163, 35, -333, -1013, -2077?\nAnswer: -3597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What is -0.0110354868 rounded to five decimal places?\nAnswer: -0.01104","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(1\/3))**(-9\/8)*(t*t\/t**(2\/7)*t*t)**47)**(-33) assuming t is positive.\nAnswer: t**(-321915\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11686 - -0.28.\nAnswer: -11685.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -34*w**2 + 13*w + 11. Let o(q) = 36*q**2 - 15*q - 13. Let i(h) = -8*o(h) - 9*x(h). Determine i(-2).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d - 4*d + 4*q - 8 = 0, 3*d + 4*q - 8 = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -15*o - 665. What is z(-44)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 6041134*v - 6041140*v + 24 = 0, 9 = 3*p + v for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.01 - -5.01. Let y = -164 + 157. Let k = -1819 - -1815. Which is the third smallest value? (a) -0.3 (b) k (c) y (d) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 5*x = -27, 4*o - 18 = 3*x - x. Let a be o - (-4 + 4 + -13). Is 15 < a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 23*b - 110. Let z be (240\/42)\/8*7. Let k be x(z). Solve k = -2*d + 7*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 + 1 - 5593\/(-833)) + 10\/(-1).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) -2\/5 (c) 2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 + (42\/60)\/(3\/5). Let n = -2 - 1. Which is the biggest value? (a) 3 (b) n (c) -1\/9 (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 8 = 4. Let r(a) = 2*a**2 + 3*a - 26. Let y be r(3). Put y, b, -18 in decreasing order.\nAnswer: y, b, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.13 (b) -1\/4 (c) 53 (d) -56.1 (e) 1 (f) -2\/5 (g) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 20889833 to the power of 1\/4, to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-7)\/56*20\/(-3). Sort v, -2, 5, -5\/2.\nAnswer: -5\/2, -2, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1341 is divided by 42?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/224*3*4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the third derivative of 247*s**4\/24 + s**3\/3 + s**2. Let j(a) = 17*a + 3. Let d be j(0). Is u(d) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-45)\/30*(-29)\/(348\/(-72))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 170\/(-51)*3\/(-2)*(-22)\/10.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 10 = -6*k. Suppose 5 = d + 4*d + k*v, -5*v = -d + 28. Which is smaller: d or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.06, 3\/4, -0.08 in decreasing order.\nAnswer: 3\/4, 0.06, -0.08","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -17 + 17.07. Which is the second biggest value? (a) h (b) 0.4 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/((-6)\/2400*6). Let s be (b\/24 + 9)\/(4\/30). Solve 12 = -4*o, -s*o - 3 = 3*p + p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88*a - 82*a = 18. Let z(d) be the second derivative of -d**5\/20 + d**3\/2 - d. Calculate z(a).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5852 and 4538072?\nAnswer: 86223368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 110323102 + 3?\nAnswer: 110323111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/6*3\/2?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - f = -l + 2, -3*l + 19 = 4*f. Suppose l*d - 80 = 5*k, 1 = 3*k - 4*k. List the prime factors of d.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11233 + 2301 - 8890 = 13589*v - 13855*v for v.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.3 (b) 20 (c) -0.13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -k - 2*k**2 + k + (-k + 2*k + 0*k)*(9 - 3*k - 9) to the form j*k + i*k**2 + z and give i.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22\/(-33)*(-1)\/47?\nAnswer: 2\/141","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 53 + -4. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, -0.6, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -5, -0.055, -1\/72, 1, 18, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**2 + 13*a - 11. Let t be y(11). Let f(b) = 2*b - 14. Let n be f(t). Is 1 - (-4)\/n*14 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14519 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 220\/1523 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1096 + -31789\/29. Let f = -1179\/58 + o. Find the common denominator of -49\/22 and f.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 167 and 64.\nAnswer: 10688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:45 AM and 8:54 AM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w + 5*w - 24. Calculate the lowest common multiple of 3\/12 + (-1)\/(24\/(-186)) and w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 238*u + 1. Let i(w) = -957*w - 3. Calculate -9*d(z) - 2*i(z).\nAnswer: -228*z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 4 = 0, 25*v - 21*v = 3*u - 3. Solve 23*m + 3*m - 26 = v for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 + 13e3db?\nAnswer: 13e3da","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8748 = -i - 299*i - 186*i for i.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 22*i - 16. Let p be g(1). Let y(v) = 6*v**2 - 3*v**3 - v**3 + 3*v**3. Let c be y(p). Put -8, c, -3 in decreasing order.\nAnswer: c, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 45. Let v(r) = r + 89. Calculate -5*a(w) + 3*v(w).\nAnswer: 3*w + 42","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 18*b**2 + 3*b - 2. Let a be -30 - -25 - (-7 - (1 - 2)). Determine r(a).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1089 - -9953?\nAnswer: 8864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 157 is divided by 117.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2.2 + -2. Let p = c + -0.3. Let g = 0.3 + p. What is the closest to 0 in g, 2, 3\/4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-2 + (0 + sqrt(832))**2 + sqrt(13)) + 1 - (-2 + (sqrt(325) - (sqrt(325) + 0 + sqrt(325) + 4))*1).\nAnswer: 8*sqrt(13) + 2497","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 891936 and 212040.\nAnswer: 1368","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 less than -0.3?\nAnswer: -463.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/1416, -8, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-125)\/35 + -1 - -5. What is the nearest to 4\/23 in -0.3, z, -0.6?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/9*4*(-5)\/(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33105 is divided by 3401.\nAnswer: 2496","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1348 + 897. Let q = a - -717. What is the common denominator of q\/(-30) - 4\/(-6) and -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.041 - -2.959. Let q = 0.08 + -0.1. Let k = 296 - 292. Sort q, c, 4\/5, k in ascending order.\nAnswer: q, 4\/5, c, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12.75 + -0.25. Let n = m + 15.9. Let l = n - 3. Which is the closest to 0.2? (a) l (b) 1\/4 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.41512 * -3\nAnswer: -1.24536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes before 7:15 AM?\nAnswer: 6:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d*d\/d**(2\/5))**(2\/163)\/(d**(-1\/4)\/d)**(-30))**28)**(-24) assuming d is positive.\nAnswer: d**(20520528\/815)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hehogehhegg. Give prob of sequence ggho.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8083 - -12001. What are the prime factors of m?\nAnswer: 2, 3, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4669389213.\nAnswer: 3, 19, 419, 195511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1936 is divided by 644?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the first derivative of 3*a**5\/20 + 7*a**4\/16 - 3*a**3 + 5*a**2\/2 + 5086. Factor f(l).\nAnswer: l*(l - 2)*(l + 5)*(3*l - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*-0.86.\nAnswer: -0.258","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five halves of a centimeter in millimeters?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 734?\nAnswer: 2, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.7 + 2. Let b = n + -0.2999938. Round b to 6 dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4148 is divided by 829.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9475? (a) -22.9 (b) -0.3 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -47 + 54?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2 + 2)*1 + 0. Let u be 3 + (-1 - p) - 7. Let h(l) = -l - 1. Let c(s) = 6 - 3 + 0*s + 6*s. Determine u*h(n) - c(n).\nAnswer: -n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b**(-8)*b))\/(b*b**(-1)))**(8\/7) assuming b is positive.\nAnswer: b**(64\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -2*w**5\/9 + 2*w**4\/9 + 14*w**3\/9 - 26*w**2\/9 + 4*w\/3 = 0?\nAnswer: -3, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes after 9:16 AM?\nAnswer: 7:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 102, 206, 310?\n\"Answer: 104*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand r**4 - r**4 - 2*r**4 + (-r**3 + r**2 - r**2)*(0*r + 0*r + 2*r)*(2 + 4 - 5).\nAnswer: -4*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 334988501 to the power of 1\/2, to the nearest integer?\nAnswer: 18303","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000172867 to five dps.\nAnswer: -0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -13*o**2 - 7*o**2 - 17*o - 10*o**2 + 45307 - 45148 wrt o?\nAnswer: -60*o - 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 26904?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 185235962641 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -131\/12 and (-757)\/112 - (-44)\/77?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/8 - (-365)\/(-40). Let w = a - -8. Let s = 8 - 4. Let n(o) = o. Let r(i) = 2*i + 1. Determine s*n(v) + w*r(v).\nAnswer: 2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -x**3 - 4*x**2 + 6*x**2 - x**3 + 7*x**2.\nAnswer: -2*x**3 + 9*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78*y = 82*y - 60. What is the highest common factor of y and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -2*j**3 + 43*j**2 - 180*j - 48. Determine x(6).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13 - -13.02. Suppose 0 = 21*f - 59 - 46. What is the nearest to -2\/3 in f, n, -4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 801 is divided by 67?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1285, 1585, 2033, 2599, 3253?\nAnswer: 3965","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -2*f + 5*f + 9, 5*r + 15 = 0. Let x(m) = -m + 2. Let w(u) = -1. Determine f*x(t) - 3*w(t).\nAnswer: t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -81*g + 81*g + 63*g**3 + (0*g + g + 0*g)*(2*g**2 + 0*g + 0*g).\nAnswer: 65*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*k + 390489 = -146586. Is 11 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 16*z**2 + 0*z + 13*z**3 + 11*z**3 - 22*z**3 + z in the form k + o*z**3 + m*z + f*z**2 and give f.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -114423\/896632 + -17\/3544. Find the common denominator of 95\/34 and k.\nAnswer: 8602","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - d = 13, 0*q + 3*q - 21 = -3*d. Calculate the greatest common factor of q and 250.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57027850?\nAnswer: 2, 5, 11, 103687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**2 - 7*o + 7. Let r be (18 - 0)\/(14 - 15). Let g be r\/(-12) - (-38)\/(-4). Calculate j(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1970, 2308, 3112, 4616, 7054, 10660, 15668, 22312?\n\"Answer: 39*i**3 - i**2 + 68*i + 1864","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-33)\/12*-9 + 27\/(-45). Let k = x + -95\/4. Factor -1\/5*g**2 + 0 + k*g.\nAnswer: -g*(g - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -151 = 18*d + 9*d + 659 for d.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that 0*h**2 - 3*h**5 + 5*h**2 - 4*h**2 - 4*h**2 - 9*h**3 - 9*h**4 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g - 3*g + 3*g)*(4 + 5*g - 4) - g**2 + 4*g**2 - g**2 - 66 - 14*g**2 + 66 + (-2 + 2 - 3*g)*(5*g - 4*g - 3*g).\nAnswer: -16*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1453105.\nAnswer: 5, 290621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the first derivative of b**3\/3 - 6*b**2 - 21*b + 6945. Calculate t(11).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve b**3\/4 - 1218335*b**2\/4 + 2436667*b\/4 - 1218333\/4 = 0 for b.\nAnswer: 1, 1218333","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -64.4 - -64. What is the nearest to 2 in 2, h, 1\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 + 1 - (-3 + 2 - 3). Suppose 0*m + b*r + 15 = 5*m, -15 = -3*m - 3*r. Solve -m*g = -4 - 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17311 is divided by 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -126 by -1871.\nAnswer: 126\/1871","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 + 18 - (2 - 4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**2 - s + 23. Let z be u(0). Suppose 3 - z = -c. Suppose -25 = -q - 4*q. Calculate the highest common divisor of c and q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 20\/5*1\/(-6). Let x = 1023\/5 - 204. Are x and j non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**2 - 5*j - 3. Let n be x(-2). Suppose -2*f - 16 = -4*y, -4*y = -7*y + 4*f + 7. Let g = y + -7. Sort n, g, -4 in decreasing order.\nAnswer: n, g, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**2\/4 - 674131*n + 898841\/4.\nAnswer: (n - 898841)*(3*n - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*r*v**3 - 16*r + 118*v**4 + v - 43 wrt v.\nAnswer: -12*r*v**2 + 472*v**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 2*u + 64 = 0. Suppose 5*y - u = n, 38 - 2 = 5*n + 4*y. Suppose 0 = 4*f + n*w - 12, -4*w + 0 - 2 = -3*f. List the prime factors of f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k - 3*i + 3322, 3*k + 2*k + 5*i = 4155. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 9*p. Let y(x) be the first derivative of -x**4\/24 - x**3\/2 + x**2 - 1. Let k(v) be the second derivative of y(v). Calculate k(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -30*n**3 - 81*n**3 + 12*n**3 + (2*n**2 - 2 + 2)*(8*n + 301 - 301) as m*n + s*n**3 + r + o*n**2 and give s.\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*o - 70 = 5*o, y + 12*o - 9*o = -2*o - 71 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1265 and 168355?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30817869?\nAnswer: 3, 419, 24517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g - 1. Let q(v) = -v + 6. Let h = 72 + -71. What is h*q(a) + 6*l(a)?\nAnswer: -7*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -1154*s**2. Let v(q) be the third derivative of -q**4\/8 + 899*q**2 - 1. Determine p(v(g)).\nAnswer: -10386*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 - (-1230)\/3 - 0\/(-8). Let i = 964 - j. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56*m**2 + 63*m**2 + 7*m**3 - 119*m**2.\nAnswer: 7*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 7891?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**3 + 9*v**2 - 10*v + 19. Let w be y(8). Solve -4 = s + w*s, -q + 4 = -5*s for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34777009571 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 8, q: 5, u: 5}. What is prob of sequence uupp?\nAnswer: 7\/459","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -33761.2433 from -0.0601788.\nAnswer: 33761.1831212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mcmc when four letters picked without replacement from mllmtymlxyctlcx?\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -43, -34, -25?\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 3 + (-9 - 4 - -10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.005 - 10284632650.7?\nAnswer: -10284632650.695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (1 - (-3 + (4 - -2))).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14919 is divided by 4332?\nAnswer: 1923","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the first derivative of -2*z**2 + 27 + z + 1\/3*z**3. Give d(6).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -1. Let a(f) = -f**2 + 8. Calculate a(t) + 4*s(t).\nAnswer: -t**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -12*s**2 + s + 7. Let q(f) = 12*f**2 - f - 6. Calculate -6*q(x) - 5*y(x).\nAnswer: -12*x**2 + x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 11, 15, -3 in ascending order.\nAnswer: -3, -1, 11, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of f**5 + 129*f**2 - 23*f + 4.\nAnswer: 20*f**3 + 258","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -4*n**2. Suppose 4*y = 4*h + 12, 7*h - 2*h + y + 33 = 0. Let v(d) = -2*d**2. Let i(m) = h*t(m) + 13*v(m). Let c(w) = 34*w**2. Give c(i(p)).\nAnswer: 136*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/8 of a litre in millilitres?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -2*o**2 - 732720. Let p(c) = 3*c. Give h(p(v)).\nAnswer: -18*v**2 - 732720","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14744 + 14665.01. What is z rounded to zero dps?\nAnswer: -79","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes before 2:15 AM?\nAnswer: 2:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 1618.014515 to one dp.\nAnswer: 1618","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-two fifteenths of a decade in months?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5\/(15\/(-24)) + -1. What is the remainder when 94 is divided by g*((-64)\/(-6))\/(-4)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 divided by 8.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1210 and 3526633.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -2\/7, -8, -5, 11 in ascending order.\nAnswer: -8, -5, -2\/7, 0.3, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -66 - -140. Suppose 0 = 14*d - 10 - n. What is the remainder when d is divided by ((-4)\/6)\/((-2)\/6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**2 - 8*o + 7. Let g be k(1). Suppose -c + 11 - 6 = g. Suppose 2*v + 285 = 5*r, c*r - 2*r = v + 170. What are the prime factors of r?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 23 = -4*w, -3*h + 0*w - 5*w + 5 = 0. Suppose 4*y + 1 - 29 = -4*o, 17 = h*y - o. Solve -5*i + 9 = -n, -5*n + 2*i = -y + 26 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 435549, 1742276, 3920165, 6969222, 10889453?\n\"Answer: i**3 + 435575*i**2 - 5*i - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve l = -5*o + 2229 - 2257, 2 = -o - 2*l for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -28.6 - -29. Let b = -0.4 - -0.3. Is b smaller than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 3*b = -4*b + 14, -2*i + 3*b + 8 = 0. What is the third derivative of 19 + 5*q**6 - i + 40*q**6 + q**2 wrt q?\nAnswer: 5400*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -10 - -4438918?\nAnswer: 4438908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.8 + 0.75. Let x = 0.55 + u. Which is the closest to 2? (a) x (b) 4 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*i**4 - 4*i**2 + 4*i**2 + (2*i**3 + 0*i**2 + 0*i**2)*(-3*i - 4*i + 0*i) to v + d*i**4 + q*i**3 + f*i**2 + h*i and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 36791201?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 525 divided by 105\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 3*h = 2*h + 1738, 3*h = 12. List the prime factors of i.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10625885.\nAnswer: 5, 23, 92399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the first derivative of 2*h**3\/3 + 10*h**2 + 21*h + 14. Let u be r(-9). Suppose 5*w = -5*c + 35, u*w - 5*w = -3*c - 39. Solve w = m - 4*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16865?\nAnswer: 5, 3373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17 + -76. What is the units digit of j\/((-6)\/3 + 1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -2645\/31228?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*o**2 - 9*o**2 - 4 + 18 + 2.\nAnswer: -6*o**2 + 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -2*w**2 + 3*w + 5. Suppose 4*c + s - 13 = 0, 3*s - 1 = -5*c + 17. Let f(n) = 3*n**2 - 4*n - 6. Let b(z) = c*f(z) + 4*v(z). Differentiate b(t) wrt t.\nAnswer: 2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i + 5123. Let q(d) = 2*d. Calculate q(a(o)).\nAnswer: 2*o + 10246","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 9816662?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:38 PM and 9:18 PM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 37812 + -230802. Let y = l + 105990. What is y rounded to the nearest 10000?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**3 + 5*x**2 + 4. Calculate the remainder when z(3) is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 449693549, 449693550, 449693551?\nAnswer: 449693552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 663034133 to the power of 1\/5, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a, b = -b + 3*a - 10. Let n be 4*(4 + b + 3). Solve -n*c = -3*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (196\/(-5880))\/((-1)\/(-4))?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68*d - 25 = -73*d. Suppose 19 = j - d*b + 2*b, b = j - 17. Let z = -19 + j. Is -19\/6 at least z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -6 (b) -4 (c) 1 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and 3681625.\nAnswer: 11044875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -29 + 17. Let r = 12 + i. Suppose 2*c + 2*c + 6 = -3*p, 0 = 2*c + 6. Solve d = p - r for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (80\/(-70) + 400\/56)\/(-1)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:37 AM and 7:22 AM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -91*p**3 + 284*p**3 - 5*p + 5 - 4 + 2*p**4 + 0*p**4 - 17*p wrt p.\nAnswer: 24*p**2 + 1158*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 935581 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1086485 to the power of 1\/3, to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l - g - 2*g + 112, 3*l + 2*g = 163. Let w = -264\/5 + l. Sort -3\/2, w, -2\/11 in ascending order.\nAnswer: -3\/2, -2\/11, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + -2 + 4 - -13 - (178 + -176).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**3 - 6*q**2 + 5*q + 6. Let g be p(5). Is 13304\/6 + g\/(-18) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 116 is divided by -2*(-135)\/10 - (-2 + -1)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**3 + 3*w**2 - 2*w + 4. Let o(s) = -s**3 + 4*s**2 - 2*s + 5. Let c(j) = 2*g(j) - 3*o(j). What is c(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (8\/12)\/((-5)\/(-30)). Suppose 5*s - 4*w - 254 = 1185, -3 = 3*w. Suppose -r*b - 574 = -2*j - b, -j + b = -s. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 129443299 and 97?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes before 9:54 PM?\nAnswer: 9:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -145\/42 and 79\/456.\nAnswer: 3192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -85 > 4469?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (-2 - -25) - (66 + -39)?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-z + 2*z - 2*z)*(1 - 3 + 4)*((3*z + 0*z + z)*(0 - 2 + 1) - z + 4*z - 5*z - 3*z - 3*z + 5*z) in the form d*z**2 + x*z + i and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -73 times 5?\nAnswer: -365","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sum -8517 and -3.9.\nAnswer: -8520.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2718589 - 5336589957\/1963. Let b = 4\/151 + o. Determine h, given that 4\/13*h**2 + 0 + 8\/13*h**3 - 4\/13*h**4 - 6\/13*h - b*h**5 = 0.\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11\/4 - -37\/12. Let q = 7\/5 - 1\/15. Factor -q + 4\/3*z - a*z**2.\nAnswer: -(z - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f + 18. Determine r(-20).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 294 to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -3 - (-10 - -9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**4 + n. Let y(h) = 5*h**4 - 3*h**2 + 9*h. Let j(m) = 18*t(m) - 2*y(m). What is the third derivative of j(q) wrt q?\nAnswer: 192*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 10 = -10. Let r be 11\/((-22)\/1068) - (-2 - -8). Let l be 18*(-24)\/r + (-6)\/5. What is the third biggest value in q, l, 1\/3, 1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes after 3:44 AM?\nAnswer: 10:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 n when two letters picked without replacement from {p: 2, j: 5, g: 7, n: 3}?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -59576.82 rounded to the nearest one hundred?\nAnswer: -59600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -113*x - 1693. Let s be o(-15). Determine f, given that 2\/5 - 4\/5*f + 2\/5*f**s = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 5*v - 8. Let l(f) = -2*f + 3. Calculate 11*l(i) + 4*x(i).\nAnswer: -2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12 - 10. Solve 2*o + 10 - y = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 15 - 186?\nAnswer: -171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) -20 (c) 0.6 (d) -3 (e) -0.074 (f) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 143\/(24596\/(-7224))*(-8)\/(-7)\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -2*f + 2. Let g = -21 - -19. Give o(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 2*f + 4. Suppose 0 = -3*s + 4*r + 7, -4*s = -f*r - 1 - 7. Find the first derivative of 2*k + k + s - k wrt k.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -32270 * -0.387.\nAnswer: 12488.49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 53\/5 of a decade in years?\nAnswer: 106","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/9, -3, 2101694, 5 in descending order.\nAnswer: 2101694, 5, -2\/9, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**2 - 62*y + 439. Give x(54).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 94 at most as big as 101?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(68) + -1 + -1 + -2.\nAnswer: -4 + 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*6*(sqrt(102) - 1*sqrt(102)*-1))\/(2*2*(sqrt(6) - -5*sqrt(18)\/sqrt(3))).\nAnswer: 5*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/6 (b) -0.3 (c) 3 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*n**2\/5 - 1626*n\/5 + 406\/5.\nAnswer: 2*(n - 203)*(4*n - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 93.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3250304999 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -3583, -3672, -3835, -4072, -4383, -4768, -5227?\n\"Answer: -37*i**2 + 22*i - 3568","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -3798\/1465 not equal to -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the second derivative of -7*s**4\/3 - 3444*s. Let l(a) = 58*a - 1. Give z(l(y)).\nAnswer: -94192*y**2 + 3248*y - 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*g + g + 751308*g**3 + 5*g + 2*g.\nAnswer: 751308*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -43 - -103. Let n = -56 + v. Solve n*w + 2 + 2 = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**2 - 9*u - 5. Let p(q) = -q**3 - 15*q**2 + 2*q + 67. Calculate the remainder when p(-15) is divided by x(-6).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 2, 1, -0.3, -0.5, -17171 in increasing order.\nAnswer: -17171, -0.5, -0.3, 1, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14646, -14674, -14718, -14784, -14878, -15006, -15174, -15388?\nAnswer: -15654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -3*x**2. Let m(t) = -173976048*t**2. Give l(m(o)).\nAnswer: -90802995833094912*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (3 + sqrt(45) - (sqrt(5) + sqrt(60)\/sqrt(3))).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 645 and 165?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:40 PM and 2:04 AM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times 206618351?\nAnswer: 1033091755","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1074813 is divided by 2799?\nAnswer: 2796","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 15 and 27?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -44953, -179820, -404597, -719284, -1123881?\nAnswer: -1618388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a - 3 - 12. Suppose 8*v + 100 = a*v. Is 3\/(-12) - 2425\/v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*v + 90 - 44 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 22 and 248?\nAnswer: 2728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 270448878?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 110850549 is divided by 73217?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**3 - n**2 - 6*n + 2. Let t be d(3). Suppose 11 = -x + 5*p - 5, 2*x - 5*p = -17. Which is the nearest to x? (a) 4\/3 (b) t (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**2 + 20. Let y be u(5). Let n(v) = 2*v - 5. Let d(o) = -o + 4. What is y*d(b) - 4*n(b)?\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 19 - 3*w**2 + 0*w**2 - 2*w**2 - 3 - 11*w + w**3. Is 5 a factor of s(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -801 + 1697. Suppose -5*g - r = -221. Let u be (3 + 2)*(-6)\/g. Which is the second biggest value? (a) 1 (b) 5 (c) -0.3 (d) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 9\/21 + (-458406995)\/(-4760). Let l = o - 96305. What is the common denominator of l and -61\/6?\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 341364813.\nAnswer: 3, 113788271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1077*x**3 - 1166*x**3 - 3*x**2 + 34*x**2 wrt x.\nAnswer: -534","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.1, -0.4, -2\/21, -3?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1178\/(-16) - (-1927 - -1854). Suppose -2*y + 0*y + 10 = 5*u, 8 = 3*y + 4*u. What is the fourth biggest value in x, y, -2, 2\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 663139 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 22 - 7. Suppose g - 2*g + w = 0. Suppose 5 = -4*u - g. Let t(p) = -p - 12. Give t(u).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p + 2 - 4, 2*w = 4*p - 16. Let i = w + 6. Suppose -r + 0 - i = 0. Sort -1, -5, r in decreasing order.\nAnswer: -1, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 205 divide 51333667?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 208*w**3 + w**2 + 2*w - 3. Let u(o) = 207*o**3 + 2*o**2 + 2*o - 4. Let n(d) = 3*p(d) - 2*u(d). Is n(1) a multiple of 64?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 1 + 2*a**2 - 7*a**2 in the form s*a + r*a**2 + p and give r.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0 (b) -0.04 (c) -6 (d) 0.9 (e) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/5? (a) -0.5 (b) 677 (c) 0.2 (d) -2.3 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3752000 divided by 8000.\nAnswer: -469","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -21950, -43926, -65930, -87962?\n\"Answer: -14*x**2 - 21934*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-42)\/(-7))\/(42\/35)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a - 1. Let c(w) = 5*w + 7. Let q(l) = c(l) + 2*j(l). Calculate q(-5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 117*g + 193*g = -11*g + 65098479. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/15, 0.04, -0.2, 2\/9?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 390, 677, 966, 1257, 1550, 1845?\nAnswer: 2142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-8520)\/(-9))\/((-6)\/(-45)). What is o rounded to the nearest 1000?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 0 + sqrt(242) + (-2*sqrt(242) - sqrt(242)) + 5 - -5*((sqrt(242) + 0)**2 + -3 + sqrt(242) - sqrt(242) - sqrt(242)).\nAnswer: -77*sqrt(2) + 1198","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 8991776 to the power of 1\/3, to the nearest integer?\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h - 4*w + 28, 0 = -3*h - 4*w + 36 - 4. Suppose -5*x + 7 = -h*u - 6, -4*x = -20. Let a = 7 + -5. Calculate the highest common factor of a and u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*o - 4 - 20 - 24*o + 34 - 7*o**2 - 57*o.\nAnswer: -(o + 10)*(7*o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*u + 2*u - 3*u + (1 + u - 1)*(5 - 2 - 2))*(u - u - 2*u)*(3 + 3*u - 3).\nAnswer: -30*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 8 and -882.4504?\nAnswer: -7059.6032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + u + 18 = 2*h, 5*u = 3*h - 24. Suppose 2*t - 10 = 4*d - 0*d, 0 = -2*t - 3*d + h. What is the remainder when t is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**2 - 1. Let x = 35 + -50. Let p(k) = k**2 + 14*k + 11. Let z be p(-12). Let w = z - x. Let j(i) = i**3 - 2*i**2 + 1. Calculate w*c(u) + j(u).\nAnswer: u**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t and 1 r when four letters picked without replacement from {r: 5, t: 3}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f - 3 + 3)*(-2*f + 4*f - f)*(-9*f**2 + 21*f**2 + 7*f**2).\nAnswer: 19*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 2, 0.35, -57, 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10582296?\nAnswer: 2, 3, 17, 37, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 k, and 2 l when four letters picked without replacement from alklkwkkwklalwwp?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27266369 = 91*p - 126*p + 9297116. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 45 + -103. Let x = u - -20. Let c = 39.8 + x. Is c less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3156 or 3983?\nAnswer: 3156","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 312*l - 163*l - 145*l.\nAnswer: 4*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5255453 (base 6) to base 7.\nAnswer: -2116005","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5414\/9 or 603?\nAnswer: 603","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y + 13. Let d be a(16). What is the hundreds digit of 4 + d + 13608\/9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 243 divide 22089610?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 6 = -5*w. Let i(x) = -x**2 - 4*x + 2. Let l be i(w). Let r be ((-4)\/l)\/(12\/60). Put -10, -2, r in decreasing order.\nAnswer: r, -2, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -58, 1, -0.08 in increasing order.\nAnswer: -58, -0.08, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 + -13378?\nAnswer: -13378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the second derivative of h**7\/840 - h**6\/120 + h**5\/40 - 3*h**3\/2 + 24*h. Let i(z) be the second derivative of b(z). Give i(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 9) in base 12?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 183 - 100. Let a = s + -83.0000165. What is a rounded to six dps?\nAnswer: -0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16\/4*(-2)\/(-4)*-2*-2\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 148685 or 149072?\nAnswer: 148685","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 2*u**3 - 11*u**2 + 7*u + 2. Let k be v(5). Suppose -2*r = 4*r + k. Let w be (r\/(-5))\/(-2 - (-3 + 5)). What is the second smallest value in 1, w, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 118.599 rounded to the nearest ten?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20, -194, -650, -1526, -2960, -5090, -8054, -11990?\nAnswer: -17036","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 2 + 4 = 0. Let f = p + 2. Find the third derivative of f*m**4 - m**2 + 0*m**2 + 0*m**2 wrt m.\nAnswer: 72*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -154 + 312 - 158 - 2*u.\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fbbw when four letters picked without replacement from bwfbqffbbwwwn.\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 + -4. Suppose 15 = -3*t, f - 4*t + 16 = 40. Suppose f*o - 22 = 2*v, 4*o - 6*o + 14 = -d*v. Is v smaller than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3728, 29887, 100832, 238937, 466576, 806123, 1279952, 1910437?\nAnswer: 2719952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3793.598014 - 3793.5. Let r = b + -0.098. Round r to 4 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 3*v + 4. Let t be (-4)\/6*(-9 + 0). Let p be d(t). Suppose f + 3*f = -2*l + 14, -l + 3*f + p = 0. List the prime factors of l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 32490 and 3942120?\nAnswer: 11826360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1344004055?\nAnswer: 5, 268800811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -2*h + 21. Let t be r(9). Which is the second smallest value? (a) 2 (b) 0 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (36\/(-6 + 0)*(-4)\/(-4))\/((-213)\/3763)?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**4 - c**2 + c. Let b(m) = 7*m**4 - 5*m**2 + 6*m + 45. Let h be (4 - 3)*-8 + 2. Let d(l) = h*a(l) + b(l). What is the derivative of d(s) wrt s?\nAnswer: 4*s**3 + 2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**11\/(m\/m**11))\/(m\/m**3*m**(-11)) assuming m is positive.\nAnswer: m**34","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes after 1:08 PM?\nAnswer: 3:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10848 and 636981.\nAnswer: 339","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q\/(q*q*(q*q**(2\/57)*q)\/q*q)))**(-1\/20)\/((q\/q**(-5))\/q**(2\/45)) assuming q is positive.\nAnswer: q**(-10529\/1710)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -263*((-172)\/28 + -1). Let g = l - 1875. Calculate the common denominator of g and 119\/10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 82449*a**3 - 26100 + 26100 - 82446*a**3.\nAnswer: 3*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 + 11. Is ((-8)\/d)\/((-1)\/194) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1885\/7, -0.4, 0.0024, -2\/3 in increasing order.\nAnswer: -2\/3, -0.4, 0.0024, 1885\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 99*k**3 - k**2 + 3*k + 5. Let a be v(-1). Is a <= -97?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7.1 + 5.1. What is the biggest value in -0.1, 0.3, -4\/3, v?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*x**5 + 4*x**5 - 5*x**5 + (x - 6*x + 2*x)*(298*x**4 + 165*x**4 + 60*x**4).\nAnswer: -1570*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1207 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 126499 is divided by 460?\nAnswer: 459","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -20, -3.5, 0.3, 1\/4?\nAnswer: -3.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and -0.234.\nAnswer: -0.0936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven tenths of a meter in millimeters?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24\/4*((-5)\/2)\/(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.4, 0, 3.5, 5, 0.08, 176?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.987 times 0.611?\nAnswer: -1.825057","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(((4*sqrt(2) - sqrt(2))**2 + sqrt(2))*-3 + 2)*1.\nAnswer: -312 - 18*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 195 and 979745.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 150, 311, 472, 633, 794?\nAnswer: 955","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 - -3. Let f(i) = -i + 2 - 1 + n*i. Is f(9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 - -3. Suppose -c*x + 90 = 2*x. What are the prime factors of x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -231*x - 420*x + 1953 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 4273292607?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-1)\/15)\/(4\/8). Let h = -2944.9 + 2945. Which is the nearest to h? (a) -1 (b) 2\/19 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -28 - -44. Suppose -2*h + 14 = 3*b - 0*b, p = 5*h - 2*b. Suppose -h*k + 0 = -3*u + 6, 2*u - 4 = 5*k. Let y(s) = -1. Let t(g) = g. What is u*t(z) + y(z)?\nAnswer: 2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 29*j**3 - 2*j**2 - 659*j + 8. Let z(s) = -8*s**3 - 2. Calculate f(l) + 4*z(l).\nAnswer: -3*l**3 - 2*l**2 - 659*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -4*w**2 + 16*w. Let l be s(-11). Let y = l + 2021. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*l**5 + 18*l - 8*l**5 - 24291*l**2 + 24213*l**2 + (-2*l**4 + 0*l**4 + l**4)*(5*l - 2*l - 4*l).\nAnswer: 2*l**5 - 78*l**2 + 18*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*u + 397 = 45*u + 4*t, 2*u - 170 = -3*t. Solve 26*q - u = -229 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 1 - 9 = 0. Let r = h + -10. Let x = 8 - r. Solve 0*n + 4*n + 24 = 4*p, 0 = 5*n + 3*p - x for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*c + 4087 + 3953 - 7752 = 0 for c.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 4*a**3 + 12*a**2 - 6*a - 4. Let j(w) = -2*w**3 - 5*w**2 + 3*w + 2. Calculate -5*j(i) - 2*l(i).\nAnswer: 2*i**3 + i**2 - 3*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24237818 divided by -6226.\nAnswer: -3893","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -874212*d + 1748335*d - 874280*d.\nAnswer: -157*d","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1362 and 30.\nAnswer: 6810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 17212722 to the power of 1\/2, to the nearest integer?\nAnswer: 4149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -f*n**3 - 31*f*n**2 - 518*f - 7*n**3 + 2 wrt n.\nAnswer: -3*f*n**2 - 62*f*n - 21*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 + -4. Calculate the common denominator of 2\/10 - 482\/160 and (o\/(-32))\/((-6)\/1160).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-3)*30\/(-2). Let b = o + 13. Suppose f - 4 = -b*f + 3*a, -a - 3 = -3*f. Which is greater: f or -1\/4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - (47 + -37) - -51.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**4 - 46*y**3 + 288*y**2 - 504*y.\nAnswer: 2*y*(y - 14)*(y - 6)*(y - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:21 AM and 2:59 PM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 336307 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the first derivative of 367*b**7\/7 + 133*b**3\/3 + 319. Find the third derivative of n(f) wrt f.\nAnswer: 44040*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1686128, 1686232, 1686340, 1686452, 1686568?\nAnswer: 1686688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -d3d - -1c62?\nAnswer: d23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes after 5:50 AM?\nAnswer: 10:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.03 + -0.17. Let q = o + 0.7. Suppose -3*v - 3 = -9. What is the biggest value in v, -3\/2, q?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 - -80833?\nAnswer: 80833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(4\/3))**(20\/11)*l*l**(-37)*l*l**(1\/20) assuming l is positive.\nAnswer: l**(-20267\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 17*i + 32. Let c(x) = -23*x - 43. Let u(s) = -3*c(s) - 4*g(s). Let o(j) = 1 - j - 2*j - 6. What is -o(q) - 6*u(q)?\nAnswer: -3*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -5195, -10413, -15631, -20849, -26067?\n\"Answer: -5218*d + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8565105?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - -7) + 24 + 2 + -13.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeeeeeoeeeeoeooeoee. Give prob of sequence oe.\nAnswer: 35\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 324, 4, -6, -55, -4 in descending order.\nAnswer: 324, 4, -3, -4, -6, -55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.025 - 0.255. Let o = 0.13 + r. Let x be (-3 + (-54)\/(-16))*-1. Is x at least as big as o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -8*h**3 + 4*h**2 + 10*h + 24. Is o(-3) a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-378)\/42)\/72)\/(((-78)\/(-48))\/(-13)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**2. Let a(r) = 4892*r + 1729*r - 814 + 814. Calculate a(o(y)).\nAnswer: 6621*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -259, -914, -2003, -3526?\n\"Answer: -217*w**2 - 4*w - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4532 a multiple of 101?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -110649, -221242, -331835, -442428, -553021, -663614?\nAnswer: -774207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3143225?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gd when two letters picked without replacement from dggggsgsgdggdggsggg?\nAnswer: 13\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, 0.19, -0.3, -1.34, 0.5, 0.2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 79527782 - 46027787. Suppose -5*w - o = b, 4609832 = -4*w - 3*o - 22190153. Round w to the nearest 1000000.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 632831416 to the nearest integer?\nAnswer: 859","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-12)\/(-8))\/(-3)*0. Solve -5*x + 5*z - 20 = h, 0*x - 8 = 2*x + 5*z for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 146*y + 34688 = -2022*y for y.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 3*m**2 + 10*m - 19*m + 5 + 3*m**3 - 6 + 2*m + 2*m**2. Let l(p) = 2*p**3 + 3*p**2 - 4*p. Determine -5*l(a) + 3*r(a).\nAnswer: -a**3 - a - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 240\/169?\nAnswer: 240\/169","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**2 - 6*u + 9. Let d be h(-7). Suppose 0 = d*c + 3*c. Suppose c = -s - 1 + 3. Solve -i = -s*i + 2*p - 6, -5*p + 2 = 4*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, y: 3}. What is prob of sequence ee?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = 0, 5*v - 3*d + 0*d - 300505 = 0. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 12 = y. Suppose -2*z = 4*t - 8, -8 = 3*t - 5*z + y. Find the common denominator of -38\/3 and t + -2 + 26\/22.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 63 - 62.06. Let t = n - 1.1. Let g = t - -0.16072. Round g to 4 dps.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*l = 10*l + 10. Let g be (l\/(-5) - 2)\/(-3). Round g to six dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2b3a876 (base 12) to base 10\nAnswer: -8789850","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 - 7.08. Let x = 0.18 + h. What is the closest to 1\/2 in -3, 0.3, x?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 2*w + 1. Let j be (w - 0)*0 - -2. Let o(g) = g**3 + 3*g**2 - 28*g - 93. Let t be o(-4). Solve 0 = y + 4, -t*h - j*y - 2*y - 19 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-3)*k)**(-12\/7)\/(k**(2\/3))**37 assuming k is positive.\nAnswer: k**(-446\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 754, 1537, 2308, 3061, 3790, 4489, 5152, 5773?\nAnswer: 6346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 j when two letters picked without replacement from zqqzhphjujjp?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 1973?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -3*z**3 + z**2 + 2*z + 1. Let x be q(-1). Let v = -1 + x. Solve 4*u - 11 = 5*d, v*d + u = -2*d + 8 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j - 6*j + 3*j + (-3*j + 2*j + 3*j)*(-1 + 0 - 1) + 3*j + 0*j - j)*(0*j**2 + 2*j**2 + j**2).\nAnswer: -9*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 152*l**3 + 203*l**2?\nAnswer: 912","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(396))**2*-6 + sqrt(396) - sqrt(88)\/(sqrt(1152)*-5).\nAnswer: -2382 + 4681*sqrt(11)\/60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9806147?\nAnswer: 13, 19, 29, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 1\/4, -218, -40, -1\/4 in decreasing order.\nAnswer: 9, 1\/4, -1\/4, -40, -218","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 66 + 166 = 0. Let r = 1 - -11. Solve -5*q = u, 0 = -2*w - 4*q - 0*q - r for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:41 PM and 3:02 AM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 3521 + 131425.34\nAnswer: 134946.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the third derivative of 7*u**4\/12 + 10*u**3\/3 - 2*u**2 + 16*u. What is the first derivative of h(y) wrt y?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q - q + 40 = 0. Suppose -4*u = -4*o - 14 + 66, o = -q*u + 7. Solve -5*d = -2*k + o + 17, 13 = -3*d - k for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2221 - -2220.93. Let n = 2.9 + -3. Put 0, n, g, -0.5 in descending order.\nAnswer: 0, g, n, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1591948\/9 + -175122. Let q = 16184\/9 - b. Let l = 36 - q. Is 0 less than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 9 + 7*l**3 - 5*l**3 + l**3 + 7*l - 2*l**3 - 6*l**2. What is the remainder when x(5) is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3240 + 3286.62. Let g = i - -0.38. Let r = g + -42.7. Round r to zero decimal places.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**3 - 6*n**2 + 6*n - 4. Suppose -3*b = 28 - 7. Let c be s(b). Let z = 14 - c. What are the prime factors of z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/9*t**3 + 0*t + 0 + 0*t**2.\nAnswer: -2*t**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**2 - 6*f + 1904394. Calculate l(-1383).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 261*y - 302*y + 2*y**2 - 173*y + 198*y.\nAnswer: 2*y**2 - 538*y + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 23.5 + -24. Let h = -0.2 - 0.2. Which is the biggest value? (a) h (b) s (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 3*x**2 - 2*x. Let v be h(5). Suppose 4*y + g - 25 - 58 = 0, -v = -4*y + 5*g. What is the smallest common multiple of y and 18?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -8*g + 1. Calculate j(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 21\/(945\/(-240))*(0 + 228). Is j at least as big as -1216?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (120\/2)\/(-5)*(-2)\/8.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4023863 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - p - 1)*(-909 + 554*p + 909) - 3*p + 3*p + 9*p**2 - 1 to f*p + s + m*p**2 and give m.\nAnswer: -545","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 - 16 = 4*h - j, 5*j = 4*h + 8. Let g(w) = 13*w + 26. Let s be g(h). Solve 3*y + 2 = -1, s = i + 2*y for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 52 - (-2364 - -2372).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -29665+-14343418\nAnswer: -14373083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -136*h**3 + 505*h**3 + 340*h**3 - 521*h**3.\nAnswer: 188*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 390 + -393. Let z be ((-20)\/(-6) + u)*0. Put z, 7, -10 in descending order.\nAnswer: 7, z, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*z - 24 = 5*z - 24. Let q = 2 - 3.1. Let r = q - -1. What is the closest to -1\/3 in r, -3, z?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w - 9*w = -18. Suppose 30 = -4*r + w*r. Let b = -6 + r. Is 8 greater than or equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6876.321um in nanometers?\nAnswer: 6876321","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -29*r**6*t**2 - 2*r**3*t**2 + r**2 + 48*t**2 wrt r.\nAnswer: -3480*r**3*t**2 - 12*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -14701395.259 rounded to the nearest one hundred thousand?\nAnswer: -14700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ks when two letters picked without replacement from {j: 4, k: 1, s: 5, l: 1}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-8)*k)\/((k\/k**30)\/k) assuming k is positive.\nAnswer: k**23","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -28 - 3. Let k = -27 - n. Find the third derivative of 5*w**4 + 9*w**4 + 10*w**4 - 2*w**2 - 23*w**k wrt w.\nAnswer: 24*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-7)*a*a**(3\/7))**(7\/5)\/((a\/a**(1\/3))**(-2\/55)*a\/((a\/(a**(-2)*a)*a)\/a*a)*a\/(a**(-2\/7)*a)) assuming a is positive.\nAnswer: a**(-7001\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 31444 (b) 30 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 122 - 117. What is the third biggest value in -4, d, -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 + -244?\nAnswer: -242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 208 + -137. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.0532 and 0.07.\nAnswer: 0.0168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33 - 44*g - 60 + 27 + 0*g + 6*g.\nAnswer: -38*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 8a145 + -77?\nAnswer: 8a079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -2*l**3 + 66*l**2 + l - 33. Let s be o(33). Solve 403*w - 406*w + 9 = s for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 24, -2808.\nAnswer: -2808, 0, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.6 times 11.827\nAnswer: 7.0962","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -20*p. Let m(f) = -25*f - 25*f - 9*f + 81*f. Determine m(n(q)).\nAnswer: -440*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 60*t**4 - 46*t**3 + t**2 - 2*t - 4820 wrt t.\nAnswer: 720*t**2 - 276*t + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-three tenths of a meter in centimeters?\nAnswer: 330","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -238*n**3 - 228085*n**2 - 184016841 wrt n.\nAnswer: -714*n**2 - 456170*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bvpxppep. Give prob of picking 1 x, 1 e, and 1 v.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**2 + 7*j + 1. Let s(r) = r**2 - r - 8. Let o be s(0). Let i be b(o). Is (-39)\/(-2)*30\/i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**2 - 89*n + 2045. Is m(0) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16757 is divided by 399.\nAnswer: 398","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 10*i**3 + 149*i**2 - 2*i + 34. Let v(j) = -3*j**3 - 46*j**2 + j - 11. Calculate -4*h(z) - 13*v(z).\nAnswer: -z**3 + 2*z**2 - 5*z + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2309\/5106 or -1?\nAnswer: 2309\/5106","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12918903 by -3.\nAnswer: -4306301","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2)*r)\/r*r*r*(r\/r**(-6))\/r*r**(-3)\/r*(r**3\/r*r)\/r assuming r is positive.\nAnswer: r**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes after 6:47 AM?\nAnswer: 9:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12922 - 12217. What is the highest common factor of y and 1833?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 544, 1099, 1654, 2209, 2764?\nAnswer: 3319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(128) + -2*sqrt(32).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 34 - -25. Suppose v = -5*s + c, -2*v + 59 = -v + 2*s. What is the tens digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1122 and 2990658.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -46 (b) -29 (c) -1\/12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -134 times -244?\nAnswer: 32696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - (-19 + 1 - -10)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 2*r. Let a(d) be the third derivative of 0*d**3 + 0*d**5 + 0*d**4 - 1\/672*d**8 + 1\/420*d**7 + 0*d + r*d**6 + 0 + d**2. Factor a(q).\nAnswer: -q**4*(q - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -30 (b) -2.3 (c) -0.005\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1618 - 2521. Let u = k - -1493. What are the prime factors of u?\nAnswer: 2, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 42476?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -20 + -2143?\nAnswer: -2213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -78, -3, 0, 1596, -1 in increasing order.\nAnswer: -78, -3, -1, 0, 1596","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -5*w + 8. Let i(m) = m - 29. Let c(t) = -3*t + 84. Let x(o) = -4*c(o) - 11*i(o). Let a be x(14). Let h(z) = 4*z - 7. Determine a*j(u) - 4*h(u).\nAnswer: -u + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-64)\/(-48)*(0 + (-3)\/(-2)). Suppose 2*a = w, 0 = 4*o + 8*a - 3*a - 381. What is the derivative of 61*z**4 - 3 + 12 - o*z**4 wrt z?\nAnswer: -132*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 7 + 290\/35 + -15. Is m greater than or equal to -25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 3029, 3036, 3053, 3086, 3141, 3224, 3341, 3498?\n\"Answer: w**3 - w**2 + 3*w + 3026","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1\/3396 - -144895\/3396. Let u = l + -43. Let o = 11 - 10. Which is the closest to o? (a) 3\/8 (b) 0 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/89? (a) -188 (b) -2\/9 (c) -4\/5 (d) 2 (e) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1063, 1008, 951, 898, 855, 828?\nAnswer: 823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*o**3 + 106968*o**2 - 711268164*o - 51767322912.\nAnswer: -4*(o - 13407)**2*(o + 72)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (78\/(-65))\/(9\/(-5)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**3 + 8*v**2 - 5*v + 38. Determine q(-9).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1 is divided by 4\/(-8) - 6\/(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*t**3*x**3 + 40*t**3*x + 20090*t**3 - 804675*x**5 wrt x.\nAnswer: -36*t**3*x - 16093500*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(84) - -1*-2*sqrt(84) - sqrt(84) - -1*1*sqrt(84)))\/((sqrt(12) - (sqrt(1200)*4 + sqrt(1200)))*5*-2).\nAnswer: -sqrt(7)\/245","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -29*j - 13. Let r(k) = 7*k - 9. Let n(b) = -7*b + 11. Let h(f) = 6*n(f) + 7*r(f). Give -2*d(i) - 9*h(i).\nAnswer: -5*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00005015472 to six decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -c (base 14) in base 3?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 247 is divided by 111.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*d - 31*d - 48350*d**3 + 17*d.\nAnswer: -48350*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2 + (-32)\/4)*10\/20 - -3. Let u(l) be the third derivative of 1\/30*l**5 + 1\/240*l**6 + 0*l + r + 1\/12*l**4 + 0*l**3 - 14*l**2. What is y in u(y) = 0?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6\/31 in 3, 3725, 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6206, 6322, 6456, 6614, 6802, 7026?\nAnswer: 7292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the first derivative of -7*i**2 + 2*i - 3 - i - 2*i. Let b be r(-1). Solve -3*n = -9, k - 4*n - 4 = -b for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 + 22512734?\nAnswer: 22512737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 228 - 226. Solve d*r - 3*s + 18 = -r, -3*r + 2*s = 15 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4341, -8824, -13537, -18594, -24109, -30196, -36969, -44542?\nAnswer: -53029","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 3*q**3 - 2*q**2 + q + 2. Let y be c(-2). Let l = -45 - y. Suppose 47*i + 630 = 19. Is i at least l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -2*k**3 + 15*k**2 + 9*k + 1. Let a be i(8). Suppose -n - 3*n = -24. What is the second derivative of -n*p + 39*p**4 - 19*p**4 - a*p**4 wrt p?\nAnswer: 132*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1532044 (base 8) to base 3\nAnswer: -211022122120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14155362.\nAnswer: 2, 3, 13, 60493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from {p: 4, j: 1, n: 2, o: 12}?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -7*u. Let q(z) = 3*z. Let p(v) = -4*g(v) - 10*q(v). Let j(h) = 58*h**2. What is p(j(n))?\nAnswer: -116*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1 (b) -7 (c) 2920 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3118\/13 - 240. Which is the nearest to 0.3? (a) 5 (b) j (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.5538 - -0.2538. Which is the nearest to -2? (a) h (b) 9 (c) 0.2 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12 and 78394452.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.6 and -27542.9.\nAnswer: -27542.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 times 1139?\nAnswer: 59228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -4*u**3 + 2*u**2 - 3*u + 2. Let x be ((-3)\/21)\/((-12)\/(-84)). Let z(i) = -i**3 + i**2 - i + 1. Give x*s(l) + 3*z(l).\nAnswer: l**3 + l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36947*t - 36939*t = 80 for t.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 40593, 40691, 40789, 40887, 40985, 41083?\nAnswer: 41181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -158 - 307.94019087\nAnswer: -465.94019087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -b**3\/3 + 39*b**2 - 116*b\/3 = 0?\nAnswer: 0, 1, 116","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h*h**(-1)))\/h*h\/(h\/h**11))**(2\/5)\/((h**(4\/7)*h**(-3\/4))\/(((h*h\/h**(-1\/4))\/h)\/h**(-1))) assuming h is positive.\nAnswer: h**(239\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 5 = -2, -2*p = -2*n + 2. Solve 5*o + 5*c = 4*c - 24, -n*o = 4*c + 16 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 != -7\/85551?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4.09 + 4.79. Let f = m - -0.22. Let q = f + -9.0999911. Round q to six decimal places.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0131251469 rounded to 4 decimal places?\nAnswer: 0.0131","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-206010)\/130473)\/(-2*(-2)\/(-38)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -476 + -0.03\nAnswer: -476.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand f**2 - 2*f**2 + 3*f**2 + (9 + 8 + 11)*(172 + 26 - 40)*(-f**2 - 2*f**2 + 4*f**2).\nAnswer: 4426*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f + 15. Let q(j) = j**2 - 9*j. Let v be q(10). Let t be b(v). Let r = 5 - 3. Solve r*d + 5 + t = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4 - ((-24)\/(-4) + 1\/(-1)). Let x be ((-2)\/(-4))\/(2\/(-4)). Is x less than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 - 1 - (-16 - 10). Suppose 8*u = 12*u + a. What is the units digit of (-2 - 12)*(u - -4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 47 and 1269.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, -1.8, 2\/35, -158, -0.3 in descending order.\nAnswer: 2\/3, 2\/35, -0.3, -1.8, -158","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express i**3 + 0*i**3 - 68*i + 115*i - 56*i - 16*i**4 as b*i**3 + o + d*i + p*i**2 + v*i**4 and give d.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 a when two letters picked without replacement from grsaaaogaaagoa.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 17, 12, 7, 2, -3, -8?\n\"Answer: -5*m + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the second derivative of -2*l**5\/5 + l**4\/3 + 2*l**2 + 84*l + 3. Let w(k) = 11*k**3 - 2*k**3 - 5 - 4*k**2 + 3*k**2 - 4*k**2. Give 5*i(a) + 4*w(a).\nAnswer: -4*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/108 and 113\/525624.\nAnswer: 4730616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 127 = 5*l + 4*g, -5*g = 4*l - 107. Let v(o) = o**2 - 562*o - 12222. Let n be v(-21). Is l bigger than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22\/15 of a minute in seconds?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 2*b**3 + 77*b**2 + 42*b + 44. Determine n(-38).\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/(-5))\/((-32)\/560). Let x be 255\/35 - (0 + (o - 0)). Determine v so that -6\/7 - 10\/7*v - 2\/7*v**2 + x*v**3 = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 + 0\/(-1))\/(30\/10). Suppose 5*v - 36 + 6 = h. Is v greater than or equal to 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 + 313181?\nAnswer: 313186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -276*f - 282*f - 277*f + 1116*f - 281*f + 27*f**2.\nAnswer: 27*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 163\/1289970 and 79\/703620.\nAnswer: 7739820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24564 (base 8) to base 16.\nAnswer: 2974","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1\/3, 24, 0, 4\/9?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1182 is divided by 147?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n - 3*q - 2, 16 = 2*n - q + 5*q. Let t = 8 + -14. What is the units digit of (1 - t)\/(2\/n)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**3 + 2*j**2 + 2*j - 4. Suppose 0 = -4*s - 0*s + 20, -i + 17 = 4*s. Let o be q(i). Calculate the highest common factor of 7 and o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 5\/98693638 and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 22*227\/104874*7\/(-5)?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.038*-0.3\nAnswer: 0.0114","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49148241?\nAnswer: 3, 17, 963691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26676 is divided by 20790.\nAnswer: 5886","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 + -4243?\nAnswer: -4247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -4*r + 76, 2*r + 4*l - 26 = 24. Suppose 32 = 2*p - 2*q, -q + 19 = p - 5*q. Find v such that 3*v**3 - 22*v**2 + r*v + p*v - 24 + 4*v**2 = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 34330, 127651, 283186, 500935, 780898, 1123075, 1527466?\nAnswer: 1994071","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -30*z**3 - 2*z**2 - 2*z - 1. Let s be v(-1). Solve -x = k + 7, s + 2 = -4*k - 5*x for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36.996*-18786.\nAnswer: -695006.856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1960)\/870*(-1)\/(-8). Let f = -3\/58 + u. Suppose -2*s - 9 = s. What is the fourth smallest value in f, s, 0, -8\/9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 5*z + 35, 0 = h + 4*z + 15 - 4. Put -4, h, -5, 9 in decreasing order.\nAnswer: 9, h, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*g + 16 = -61*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10351 - -57. Is 61 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1764902082?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.7 + 0.3. Let f = 7819\/4 + -7785\/4. Is f at most as big as i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 - -3. Let p(k) = -4*k**3 + k**2 - 15*k + 12. Let x be p(-6). Suppose -1000*l + x*l = 4. What is the remainder when o is divided by l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 21\/2 of a millimeter?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, 12, 8.3 in ascending order.\nAnswer: 1\/3, 8.3, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k - 3*v - 53, 14 = 2*v + 4. Let o(g) = 2*g + 4 - 3*g + k. Let x be o(18). Solve -2*z - 15 = -x*c, 2*c + 5 - 15 = -2*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12\/119 + 8413\/357. Suppose -4*p = t - 44, 10*p - 5*t = 5*p + 30. What is the common denominator of m and 3\/15*-2*p\/12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 0 - 2*c**3 + 2 + 3*c**2 - c**2 in the form j*c**3 + w*c**2 + v + x*c and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -282, -557, -830, -1101, -1370?\nAnswer: -1637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.2 and -252.8.\nAnswer: -252.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oomwwwwmwwdwmwd. What is prob of sequence om?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13 - -7) + 12 + (1 - 6).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.8 - -1. Let x = 20 - 12. Let k = 6 - x. What is the biggest value in h, -4, k?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 38\/(-2280)*-24*180\/(-104)*2.\nAnswer: -18\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -25 + 49\/2. Let p be -2 + 4 + (-1)\/1. Which is the closest to g? (a) 2 (b) 5 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 2\/7*f**2 + 4\/7*f**3 + 0*f + 0 + 2\/7*f**4 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -402754556*m**3*v + 6*m*v + 19*m + v - 28643 wrt m?\nAnswer: -2416527336*m*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -35 + -3. Let l = 54 + r. Suppose 3*y = -y + l. Sort y, -1, 5 in descending order.\nAnswer: 5, y, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**3 - o**2 - 8*o - 13. Let n be s(4). Suppose -20*y + 471 = -17*y - 3*g, -475 = -n*y + g. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -269334930 to the nearest 100000.\nAnswer: -269300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 51*c**2 + 681*c - 20. List the prime factors of l(-15).\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 3*p + 98. Calculate g(-34).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 3) to base 13\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1377 + 1365. What is the closest to -1 in 0.2, y, 2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12 - -8. Let k(w) = 6*w + 2. Let r(j) = -6*j - 1. Let s(i) = y*k(i) - 3*r(i). Let u(p) = -3*p - 2. Calculate 2*s(n) - 5*u(n).\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a minute in seconds?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3244 + 4674. Does 55 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (12\/(-18))\/((-10)\/135). Suppose v*a = -17 + 71. Calculate the greatest common divisor of a and 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:10 PM and 11:51 PM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 - -2.2. Let m = p - 0.2. Put -5, -1, m in descending order.\nAnswer: m, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9539 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w**2\/15 + 40572*w\/5 + 617282694\/5 = 0. Calculate w.\nAnswer: -30429","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - 2*m - 46 = -64, -2*l - 3*m + 19 = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12879 or 12886?\nAnswer: 12879","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**3\/2 + 2913*d**2\/2 - 11715*d\/2 - 14625\/2.\nAnswer: 3*(d - 5)*(d + 1)*(d + 975)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -412292\/5 (b) -3 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*m + 11*m + 323. Which is greater: -2 or m?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -r - c, -128*r - 12 = -127*r - 4*c. What is the remainder when r is divided by (8\/(-10))\/(3\/(-15))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -101776381*x**4 + 75950149 wrt x.\nAnswer: -407105524*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n = 6*w - 45, 718214*n = -3*w + 718210*n + 18 for w.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -3*m - 5. Let s(o) = 10*o + 15. Let r(l) = -2*s(l) - 7*w(l). Let p be 2\/(-4) - (-5)\/(-2). Give r(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -13*f**3 - 1939*f**2 + 12*f**3 - 1916*f**2 - 49 - 16*f + 3873*f**2. Give z(17).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4098971339.\nAnswer: 4098971339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 880325.4ng in milligrams?\nAnswer: 0.8803254","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(112)\/sqrt(32))\/(sqrt(7) - -1*sqrt(7)*-4) + sqrt(2) + sqrt(12)\/sqrt(54) + sqrt(72)\/sqrt(4).\nAnswer: 25*sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 21 - 27. Let a(y) = -y**2 + 6*y + 2. Let q(j) = 4*j**2 - 18*j - 7. Let p(c) = -7*a(c) - 2*q(c). Calculate p(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*g - 0*v + v - 42, -3*g + 33*g + 7*v = 274 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 2441*w**2 + 74644*w**2 + 6*w - 4075*w**2 + 66785*w**2 + 3. Let n be h(7). Round n to the nearest one hundred thousand.\nAnswer: 6900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, -0.3, 11.8, -1, -15, 28?\nAnswer: 11.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 2*o = 34, 0 = 2*y + 2*o - 5*o - 36. Suppose -5*w + 3*n = -2*n - y, -w + 4*n - 3 = 0. Which is smaller: 3 or w?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -88 by 25116.\nAnswer: -22\/6279","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 300699 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1474 - -6673. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -10*2*(-2)\/10. Let j be 0 + (-6)\/(-3 - -2). Solve -b - 1 = 0, b = -n*m - b + j for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1984 and 320?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -2*u. Suppose 4*w + 10 = -26. What are the prime factors of k(w)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 45753 and 2121?\nAnswer: 320271","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -8\/54167 or 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from faassasffsaasfla. What is prob of sequence aas?\nAnswer: 5\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 426509?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 46199, 46277, 46439, 46727, 47183, 47849?\n\"Answer: 7*r**3 + 29*r + 46163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8 and 4928636?\nAnswer: 9857272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*y + 17*y = -3*p + 4, -3*y + 57 = -4*p. Solve 14*k + 5*h + 22 = y*k, -4*h = 3*k + 17 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6917.8 + 370.8. Let l = i + 6544.5015. Let d = 2.5 + l. What is d rounded to 3 decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h - 0*h + 15, 3*h + 211 = 5*u. Let n = u - 25. Let o be (-3)\/1 + n + 1669984. What is o rounded to the nearest one hundred thousand?\nAnswer: 1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 125 + -100 - 48 - -26.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1 * 148149543\nAnswer: 148149543","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 9 - 3 - 4*w**2 + 4*w + w. Let y(v) = -3*v**2 + 3*v + 4. Give 5*m(c) - 7*y(c).\nAnswer: c**2 + 4*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-4)*1\/(-1). Let p = 3311\/8 - 414. Let q be (-24)\/(-140) - (-6)\/(-10). What is the nearest to l in p, q, 2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.155 in -2, -2\/7, -3.7, 0.0985?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12 - -21. Suppose 0 = -2*f - f + y. Put 4, f, 2 in decreasing order.\nAnswer: 4, f, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**3 - h**2 - h. Let x(u) = -83*u**3 + 75*u**2 + 5*u. Let q(j) = -10*m(j) - 2*x(j). What is the third derivative of q(n) wrt n?\nAnswer: 936","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20094?\nAnswer: 2, 3, 17, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 5280 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w - y + 5, 2*w + 1 = 5*y - 2*y. Let b be (1\/1 - (-5 - 4))\/w. Factor -b - 2\/5*a**2 - 4*a.\nAnswer: -2*(a + 5)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000193379025 rounded to five dps?\nAnswer: 0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -4, -22, 5 in decreasing order.\nAnswer: 5, -1, -4, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-1448)\/(-35476) + 20862\/294\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/25 of a litre?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8283.999 years in millennia?\nAnswer: 8.283999","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 670 - 7382\/11. Which is smaller: -2 or v?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 + 7 + -7 - -8\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-8)\/14*(-2)\/4. Suppose -5*s - v = -1, -3*s - 17 = 13*v - 8*v. Which is greater: z or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, t: 3, y: 2, d: 2}. What is prob of picking 1 y, 1 d, 1 t, and 1 b?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*((-920)\/(-105))\/(-46).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l + 23*k - 14*k = 10*k - 31, 3*l - 33 = 3*k for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes after 12:09 PM?\nAnswer: 12:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1\/10, -5, 2974, -4?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -103172*c + 136 + 45761*c + 57412*c.\nAnswer: c + 136","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve q = -5*t + 16, t - 6*q + 2 = -q for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 555, 4594, 15607, 37080, 72499, 125350, 199119, 297292?\nAnswer: 423355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -2*q**2 - 7*q + 6. What is a(-6)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8216254763 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (10 - (-432)\/(-45))\/(1\/(-5)). Let o be (-6)\/(-8)*1*(-8)\/z. Solve -o*y + 0 + 9 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 16\/1304415 and -61\/1722.\nAnswer: 2608830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 39582249 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**3 - 37*a**2 + 57*a + 477. Calculate the remainder when 255 is divided by l(35).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -2*z - 16, -5*z - 2*f + 1 = -1. Let q be (0*(-1)\/(-2))\/z. Let j be ((-11)\/(-231) - 0)\/(-4 - (-194)\/48). Which is bigger: j or q?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*g**3 - 20*g**3 + 41*g**3 - 13*g**3.\nAnswer: -6*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 3*j - 5. Let h be q(3). Solve -2 = h*b - 6 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes before 1:18 PM?\nAnswer: 10:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 1054666432?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6)\/99 - (10 + (-10622215)\/165) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the third derivative of -19*n**5\/20 - n**3\/6 - 27*n**2. Let z(j) = j. Determine v(z(f)).\nAnswer: -57*f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 70 = 5*v. Let y = 280 - 697. Let r = y - -441. What is the remainder when r is divided by v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -846569, -1693151, -2539733?\n\"Answer: -846582*w + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 48432 and 879848.\nAnswer: 5279088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9365*l**4 - 721*l**3 - 201*l**2 + 116749*l wrt l?\nAnswer: -224760*l - 4326","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*q - 214*q + 123*q - 229*q = 4396 for q.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -2*y**2\/3 - 595964*y\/3 - 1191904 = 0.\nAnswer: -297976, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3430027247 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -85\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 33*r**6 - 19*r**4*x**2 - 2*r**2*x**2 + 30*r**2 - 3*x wrt r?\nAnswer: 3960*r**3 - 456*r*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -271, -1, 1, -6 in descending order.\nAnswer: 1, -1, -6, -271","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*s**4 - 3*s**3 + 3*s**3 + (3 - 3 + s)*(22 - 3 - 88)*(s**3 + 3*s**3 - 2*s**3) + s**4 + 0*s**4 + s**4.\nAnswer: -134*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 934403479 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 74 + -3 + 14 + ((0 - 2) + -7 - 0).\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1038048796 divided by -166.\nAnswer: -6253306","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7)\/21)\/((-5)\/60).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 17*g - 5. Let y(q) = 18*q - 4. Give 4*d(v) - 5*y(v).\nAnswer: -22*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -b9134 + 3?\nAnswer: -b9131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-66)\/24 + (-10 - (-546)\/56). Let v be (-2)\/9 + (-14)\/18. Put z, 10, v in increasing order.\nAnswer: z, v, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - y = y, -3*y - 5 = 5*h. Let s(p) = p. Let n be s(h). Factor -4*q - 4*q**3 - 8*q**n + 8 - 8.\nAnswer: -4*q*(q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3252728111?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/6*30\/(-5). Let s(j) = -12*j**2 - x*j**2 + j**2. Let k(a) = -2*a**2 + 151 - 151. Give s(k(i)).\nAnswer: -52*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -125\/459 (b) -221 (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-20)\/6)\/((-14)\/63). What is the greatest common factor of j and 120?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00369017 to 5 decimal places.\nAnswer: -0.00369","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 2\/15 (b) -2 (c) -27 (d) 2498 (e) 0.5 (f) 8\/9 (g) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n**5\/5 - 1177*n**4\/5 + 228653*n**3\/5 - 453771*n**2\/5 + 226296*n\/5 = 0.\nAnswer: -1347, 0, 1, 168","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-3)\/(-102))\/(109\/(-218)). Sort -5, -2, 2\/55, 0, k in descending order.\nAnswer: 2\/55, 0, k, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f = -9*o + 4*o - 21, -4*f + 176 + 176 - 340 = -4*o for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**3 - 8*k**2 - 7*k + 5. Let h be w(-7). Suppose 5*q - 10 = h*o, -4*o - 3 = -q - 2*q. Suppose -5*c + 32 = -o*c. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3692?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8315 and 36.\nAnswer: 299340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.15450745 to 2 dps.\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 81*s + 1. Let b be a(1). Suppose 0*t - t + b = 0. Let l = t + -32. 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 common denominator of -35\/82618 and -7\/10?\nAnswer: 413090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1024 divided by 64\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/3 of a week in minutes?\nAnswer: 26880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 39 and 125372?\nAnswer: 376116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 2*u. Let j(r) be the first derivative of 0*r + 0*r**4 + 0*r**2 - 2\/3*r**3 + 1 + 1\/60*r**5. Let o(z) be the third derivative of j(z). What is w(o(h))?\nAnswer: 4*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5996 + -5989. Let f(z) be the third derivative of z**4\/6 + 11*z**3\/2 + 2*z**2. List the prime factors of f(i).\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, m: 5, l: 7, f: 3}. Give prob of picking 3 m and 1 y.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 86471643 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 4*d + 58 = -49, 4*t + 4*d - 468 = 0. Let n = -82 + t. Is n a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -4*y + 200, 198 = 2*x - 0*y + 3*y. Suppose -3*r = b - 101, 246 = 5*r - 2*b + x. What is the greatest common divisor of 32 and r?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8*1*1\/(12\/9)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 609 + 226 = 167*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -7*o**3. Let s be t(-1). Let a = 7 - s. Let j = -911\/9 + 101. Is j at least as big as a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -3*s**2 + s. Let k be l(0). Let x(q) = -203*q**2 - q. Let z be x(-1). Let y be 2\/(-8) - -1*z\/(-8). Solve g + 4*g - y = k for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1245726 and 4554.\nAnswer: 13702986","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2101 + 44*l + 62*l - 60*l.\nAnswer: 46*l + 2101","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-four fifths of a litre?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 2 m when three letters picked without replacement from zmmmmmzm.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1241.6 - -1241.66011. What is n rounded to four decimal places?\nAnswer: 0.0601","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:12 AM and 9:43 AM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**2 + 4*y - 22. Let g(b) = -b**3 + 68*b**2 + 142*b - 135. Let f be g(70). Give v(f).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -5 + -1*sqrt(192) - ((2 + sqrt(192) + 0)**2 + sqrt(192) - sqrt(192) - (-1 + sqrt(192) + 2)).\nAnswer: -200 - 32*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t = -2*f + 14, -8*t = -12*t + 4 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes before 9:42 AM?\nAnswer: 4:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -90 + -229. Let b = z - -208. Let k = 110.927 + b. Round k to 2 dps.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 4*x**3\/9 + 5*x**2\/9 - 100*x\/9 - 125\/9 = 0.\nAnswer: -5, -5\/4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3818355 is divided by 54547?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**2 + 15*g - 6. What are the prime factors of r(-16)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-17 - -11) + 7 + 1 + 8?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -5*g - 2*i - 7, 2*g = -2*i. Put -3, 2, 3, g in descending order.\nAnswer: 3, 2, g, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 66.65433 nanometers to kilometers.\nAnswer: 0.00000000006665433","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27 = 10*p + 37 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 183*w**3 - 297*w**3 + 168*w**3.\nAnswer: 54*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 519783 is divided by 603?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (22 - 46 - -24) + -24\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the second derivative of -1\/12*k**4 + 17\/6*k**3 + 0 - 7*k**2 - 3*k. Is v(13) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (2 + 2963)\/((-115)\/(-46)) a multiple of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in 0, 6.6255, 17.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 88854 + -2000. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 336*a*g**3*t + 14*a*t**3 - 2*g**3*t**3 + 34*g**3*t**2 - 7*g*t - 2*g wrt a.\nAnswer: 336*g**3*t + 14*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*b**2 - 5*b**2 + 0*b**2)*(-3*b - b + 9*b) + (-b - 2*b + b)*(-5*b**2 + 4*b**2 + 0*b**2).\nAnswer: -3*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 + 6. Let u(c) = -c**3 + c**2 + 1. Let l(o) = 9*o**3 - 6*o**2 + o - 5. Let v(n) = -l(n) - 6*u(n). Let d be v(g). Solve 10 = d*h - h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -9*o - 6*o - 27*o + 66*o. Let j(y) = -93*y**2. What is j(p(r))?\nAnswer: -53568*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 158674839.\nAnswer: 3, 199, 265787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Total of 79712 and 7.6576.\nAnswer: 79719.6576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -31851.6 to the nearest 1000.\nAnswer: -32000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-5 + (-3124)\/33)*1*-3 is divided by 60.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -22.21 + 22. What is m rounded to one dp?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1769774, -7079124, -15928042, -28316528, -44244582, -63712204?\n\"Answer: -1769784*k**2 + 2*k + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 263 + -255. Let k = 9 + -12. What is the nearest to 1\/3 in 0.4, k, b?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4068 - 81481\/20. Find the common denominator of ((-1)\/72)\/((-9)\/(-390)) and g.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*s - 168 = 63 + 241 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, -1, -0.3, 20002, -0.6, -6?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -4*n + 42, -5*n - 3 = -k + 3. What is the remainder when k is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6393 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*v**2 + v - v + 77 - 2*v**3 + 70.\nAnswer: -2*v**3 + 27*v**2 + 147","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 315321 + 4?\nAnswer: 315325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 39 or 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.41823, 0.2, 1, 0, 0.3 in descending order.\nAnswer: 1, 0.3, 0.2, 0, -0.41823","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 at most as big as 81\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 128*c**2\/3 + 415*c - 1309\/6.\nAnswer: (2*c - 1)*(128*c + 1309)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -3*(28\/6)\/14*0\/(-1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*n + 50 - 323. Calculate the remainder when n is divided by 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1787.19 + -1801. Let r = 14 + g. Let p = r + 0.15. Round p to 1 decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the second derivative of -1615*d**4\/12 - 1115*d**3\/6 + 1042*d. Find the second derivative of z(x) wrt x.\nAnswer: -3230","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 170408, 681548, 1533480, 2726210, 4259744, 6134088, 8349248, 10905230?\n\"Answer: v**3 + 170390*v**2 - 37*v + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -8514*j**4 + j**3 + 1010908?\nAnswer: -34056*j**3 + 3*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 45447323 + 4?\nAnswer: 45447327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 170086 or 170050?\nAnswer: 170086","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 50*a - 547 + 397. Let g(z) = z**3 + 5*z. Let f(r) = -2*r**3 - 14*r. What is a*f(y) + 8*g(y)?\nAnswer: 2*y**3 - 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccvv when four letters picked without replacement from vvvvvcvcvvvvvccvccv.\nAnswer: 65\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2\/2915 + 32041\/34980. Let u(y) be the second derivative of 0 + 8\/3*y**3 - q*y**4 + 16*y + 0*y**2. What is the second derivative of u(p) wrt p?\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -34.19 - 0.81. Let f = -23 - b. Let i = f - 10. What is the third biggest value in i, -1, 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4.9457 + 0.0543. Let d = -0.9 - 0.1. Let q = -1 + d. Put q, x, -4 in ascending order.\nAnswer: -4, q, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1362 a factor of 1325919541?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -2*d**3 - 3*d**2 - 5*d - 4. Let p(y) = 2*y - 1. Let i(x) = -b(x) - 5*p(x). Let k(l) = l**3 + 2*l**2 - 2*l + 4. Give 2*i(r) - 5*k(r).\nAnswer: -r**3 - 4*r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 12225 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 + 8. Suppose o = -3*n - 30 + 183. Let b be n\/(-60) - 2\/(-8). Is b greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f. Let r(p) = -p - 2. Let s(k) = -2*d(k) + r(k). Let j(q) = -2*q + 2. Let h(u) = -2*j(u) - 3*s(u). List the prime factors of h(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21, 30, 37, 42, 45, 46, 45?\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together 434818617 and -74.6.\nAnswer: 434818542.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vp when two letters picked without replacement from {u: 2, v: 4, p: 10}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9721, 12455, 17013, 23395, 31601?\nAnswer: 41631","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*n**2 - 19*n + 51*n - 28*n.\nAnswer: -6*n**2 + 4*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -2*c. Let g(w) be the third derivative of -13*w**2 + 17\/60*w**5 + 0*w**3 + 0*w + 0*w**4 + 0. Give k(g(d)).\nAnswer: -34*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes before 3:09 PM?\nAnswer: 8:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -240561 by 126.\nAnswer: -26729\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d - 3. Suppose -2*a + 3*r = -2*r + 13, -4*a = -5*r + 31. Does 4 divide s(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 361 = -3*o, -256 = 3*o + s + 115. Let g = -1597\/13 - o. Let v = -36 - -359\/10. Which is the second smallest value? (a) v (b) g (c) 1 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-969*o - 2 + 2 + 2047*o - 2238*o - 3287*o)*(-2*o**2 + 0*o**2 + 6*o**2).\nAnswer: -17788*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1 - 86*-1) + -3 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 9*a**2 - 18*a - 7*a**2 + 2*a**4 + 11*a + a as c*a**4 + m + s*a**3 + t*a**2 + r*a and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.19987893 + -18135097.80012107. Let z = k + 18135098.8500047. Let s = 0.85 - z. Round s to 6 dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*p + 525 = 80*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, -4, -0.049, -3\/2 in ascending order.\nAnswer: -4, -3\/2, -1\/4, -0.049","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 20*p**2 - 119*p + 4. What is the lowest common multiple of 109 and a(6)?\nAnswer: 1090","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 924 and 294.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11969*b + 4718*b + 5834*b + (-2*b - b + b)*(2 - 5 + 1).\nAnswer: -1413*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a - 2 - a + 212*a**3 - 237*a**3)*(268 - 767 + 261).\nAnswer: 5950*a**3 - 238*a + 476","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1\/5)*g**(-7)*g**(-2\/9)*g*g**(-3))**(2\/81) assuming g is positive.\nAnswer: g**(-848\/3645)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Do 3803\/7 and 543 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 59 - 3)*(4*q + 0*q - 2*q)*(0*q + 2*q**2 + 0*q).\nAnswer: 248*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - 20) + -90 + 114 + 0 + 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -159*y - 3026. Let n be h(-19). Suppose -3*v + 6*f = 2*f - 12, v - 4 = -5*f. Sort -4, -3, n, v in increasing order.\nAnswer: n, -4, -3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.3 + -0.4. Let q = -69 - -68. Put q, 0.5, b in descending order.\nAnswer: 0.5, b, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -8*b - 5. Let a be (6\/9)\/(2\/39). Let h(p) = -17*p - 11. Determine a*q(w) - 6*h(w).\nAnswer: -2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 2*j = -228 - 30, 2*q = 5*j + 80. Are q and 50 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (125 + 47331\/(-378))\/((12\/10)\/2).\nAnswer: -5\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -225 + 2052606?\nAnswer: 2052351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**2 + 7*y + 10. Let t be o(10). Suppose 32 = -6*h + 4*h. Let i = h - t. Solve -i*a + 11 = -c, 3*c - 5*a + 1 = -11 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide (8 + -20)*22\/(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -37013770 bigger than -37013771?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 13 = -11. Let y be 7 + 3*r\/(-9). Find the second derivative of s + s - 3*s**5 + s**y wrt s.\nAnswer: -40*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 158552 is divided by 14413.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3380)\/(-364) - (-2)\/(-7). Suppose -b*u + 8*u - 9585 = -5*i, -3*i + 5744 = -2*u. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ykks when four letters picked without replacement from skkkksy?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 36684394 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n - 3*n + 62. Let o = -25 - n. Find the common denominator of 1\/10 and (-4)\/o - -1 - 224\/6.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*v + 631 - 130 = -39 for v.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2)*(y + 0*y - 2*y) + 8*y - 9*y + 5*y.\nAnswer: 6*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*c + 3*n + 66 - 77, c = -3*n - 5 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 3*t - 2*t + 28 = 0, t - 20 = -4*j. Find the second derivative of -8*f**4 + 37*f**3 - 5*f**j + f - 37*f**3 wrt f.\nAnswer: -156*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18182 is divided by 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:11 PM and 3:54 AM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1024 (base 5) to base 2\nAnswer: -10001011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 126 + -389?\nAnswer: -263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2*1 - (-28 + 17). Suppose -2*s = 2*i + 8, -4*i + 4*s + w + 7 = 0. Is i <= -2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the second derivative of -m**7\/5040 + m**5\/720 + 5*m**3\/6 + 4*m. Let z(v) be the second derivative of f(v). Find w such that z(w) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 + -6. Suppose -h*y - 14 = -4*y. Calculate the greatest common divisor of y and 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/2 - 8\/(1632\/(-2074)) - 2?\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = b, 3*x = -2*b + 222. Let t be 4\/22 - x\/44. Let q = 1.08 - 0.08. What is the second smallest value in -4, q, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.3, -4\/11, -5, 2\/21, 124?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*o**3 + 8999*o + 4*o**2 + 8994*o - 17986*o to the form c*o**2 + k*o**3 + a + r*o and give c.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 61 and 3904.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 414017\/1255738 - -26\/5189. Find the common denominator of 69\/88 and m.\nAnswer: 968","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -3*c + 574, -27*c - 950 = -32*c + 3*m. What is the remainder when c is divided by 85?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.1, 0.1, -5\/2, 0.03, -0.1 in descending order.\nAnswer: 0.1, 0.03, -0.1, -1.1, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -27 + -1. Let d = -24 - u. Solve 28 = -2*m - 2*m - d*z, -5*m + z - 23 = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 139.276692ms to days.\nAnswer: 0.00000161199875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 50870033 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1036, -1990, -3568, -5770, -8596, -12046, -16120?\n\"Answer: -312*w**2 - 18*w - 706","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10 + 14. Let g(k) = -k**2 + 2*k - 5. Let s be g(8). Let l = s - -59. What is the lowest common multiple of l and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -q**5\/3 + 28*q**4\/3 - 55*q**3 + 398*q**2\/3 - 428*q\/3 + 56 = 0.\nAnswer: 1, 2, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2912\/(-784))\/((-4563)\/1365)?\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -4, -1, 0 in ascending order.\nAnswer: -4, -1, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*c**2\/5 + 72*c\/5 + 68\/5.\nAnswer: 4*(c + 1)*(c + 17)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -3413, -6493, -11625, -18809, -28045, -39333?\n\"Answer: -1026*q**2 - 2*q - 2385","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**3 + 4*q**2 + q - 3. Let w be (15\/2 - 4) + (-6)\/(-4). Suppose 0*m = -w*m - 10. Let b be g(m). Solve -t = b*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1808 - -1813. Let s be 1 + 0 + 1 + 0. Suppose -p = s*m - 7*m. Which is smaller: -1\/8 or m?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 18 - 25?\nAnswer: -c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 166245838?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (15\/(-9))\/(10\/180). Let v(t) = t**3 + 30*t**2 - 35*t - 130. List the prime factors of v(b).\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g - 3*k - 39, 0 = -8*g + 3*g + 2*k + 40. Suppose 0*s + 2*s = -a + 7, 3*s + g = 4*a. Solve -5*l + m + m = 27, l = -3*m - s for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - 87008001?\nAnswer: -87007991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.1 - 17.1. Let i = -32 - -22. Let j = l - i. What is the second biggest value in 0.5, -4\/3, j?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the second derivative of -10*b + 0 - 1\/2*b**2 + 1\/12*b**4 + 2\/3*b**3. Give c(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -36*q**3 - q**2 + q + 1. Let z be t(1). Let v be (-12)\/(-28) + (-1140)\/z. Let p = 72 - v. Is p a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32070 is divided by 366?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h + 39. What is m(9)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -886 divided by -199?\nAnswer: 886\/199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3, 55 in increasing order.\nAnswer: -3, 0, 55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 17399 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 141575045 is divided by 2359584?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2 or 3\/1936?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = -5*r + 19 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17 + 22. Let p(m) be the first derivative of 2*m**2 + m - 71. Let c(l) = -7*l - 2. Determine f*p(a) + 3*c(a).\nAnswer: -a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 63.27668 grams in tonnes?\nAnswer: 0.00006327668","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvd when three letters picked without replacement from ccvdccvccvvcccvcc?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 413*l - 84 = 204*l + 206*l - 4*s, -172*l - 4*s = -84 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 2*j**2 - 99*j + 760. Give k(30).\nAnswer: -410","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 10457?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(304) + -2 + sqrt(475) + -1 + sqrt(19))**2 + -3*sqrt(190)\/((sqrt(20) + 2*sqrt(20) + sqrt(20))\/sqrt(2)).\nAnswer: -243*sqrt(19)\/4 + 1909","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8973*x**2 - x**3 - 2*x**4 + 8969*x**2 + 4*x**4 + 3*x**3.\nAnswer: 2*x**2*(x - 1)*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + 1 + (1 + -4 - 1)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (771\/(-13364))\/((3\/8)\/(-1))?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 0, 1, 2\/7, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 397021?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:18 PM and 3:08 PM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -3*w**2 + w - 7. Let l(m) = -m + 1. Give -5*l(n) - s(n).\nAnswer: 3*n**2 + 4*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 18 + -20. Which is the biggest value? (a) -5 (b) w (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(((-1)\/5)\/((-8)\/5)). Let j(p) = -p + 6. Let f be j(g). Let y be f\/(-4)*(2 + -2). Solve 2*r - 8 = -y*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the second derivative of p**5\/20 - 5*p**4\/12 + 2*p**3\/3 - 3*p**2\/2 + 198*p. What is q(3)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 + -3 + 8 - (-16 + 47)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 14*i**2 - 14*i - 7. Is k(7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 189149?\nAnswer: 189149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**0\/z)**25*(z\/z**(-3))\/z**(1\/15))**(-25\/4) assuming z is positive.\nAnswer: z**(395\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -57724183145 and -1?\nAnswer: 57724183144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 9 (b) -5 (c) 1.3 (d) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7697 or -0.18?\nAnswer: 7697","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that b**5\/2 - 151*b**4\/2 - 463*b**3\/2 + 151*b**2\/2 + 231*b = 0.\nAnswer: -3, -1, 0, 1, 154","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -20 - 16. Suppose -2*q + 446 = y. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 5*o - 6, 0 = -4*o - 4*s + 10 - 2. Suppose 2*t - 5*h - 6 = -0*t, 5*t - 2*h - 15 = 0. What is the units digit of o\/t*3 + 6?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (45 - 45 + 10*y**2)*(3 - 55*y**3 - 58*y**3 + 119*y**3).\nAnswer: 60*y**5 + 30*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -13544, -12063, -9598, -6149, -1716, 3701?\n\"Answer: 492*i**2 + 5*i - 14041","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -144*o**2 - 152*o**2 + 86410 + 295*o**2 - 86410.\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3\/168141299 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 118 - 14 = 0. Let i = a + 0. Let r = i - 31. Solve -r*t + 14 = 4*u - 4*t, 4*u = t + 9 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the third derivative of u**6\/120 + 11*u**5\/60 - 7*u**4\/12 - 4*u**3 + 116*u**2. Solve w(b) = 0.\nAnswer: -12, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -662, -2907, -6618, -11777, -18366, -26367, -35762?\nAnswer: -46533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jg when two letters picked without replacement from {g: 2, j: 1, p: 3, l: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2584*u - 2371*u = 14387 - 2033 for u.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 + 14. Suppose -433 + 2665 = p. Suppose -123*x + 105*x = -p. Calculate the lowest common multiple of x and n.\nAnswer: 496","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 + 464?\nAnswer: 456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 4*n**3 - 65*n**2 + 21*n - 60. Let m(i) = -99*i - 1. Calculate the remainder when m(-1) is divided by a(16).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -207457, -207472, -207487?\n\"Answer: -15*f - 207442","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*p*r**3*u**2 - 2*p*r**3*u + 2*p*r**2*u + 6*p*r**2 - 33*r**3 + r**2*u - 6*u**2 wrt r?\nAnswer: -12*p*u**2 - 12*p*u - 198","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1610 and 673302?\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -101 = -3*k - 4*g, -g + 2*g = 2*k - 71. Suppose -3*i = -95 + k. Let s be -2 + -7*(-4 - -3). Solve f + 4*q = -0*q - 16, 0 = -5*f + s*q + i for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(-1\/50))\/(y**(-41)\/y) assuming y is positive.\nAnswer: y**(2151\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -4*w - 3101156, -6*w + 3101156 = -2*q - w. Let u = 11250578 + q. Round u to the nearest 1000000.\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 4*s - 5. What is n(-4)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 29 = -2*j + 147, 3 = j. Is 7 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 3, -4\/7, -2\/191, 0.2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*b**2 - 12*b**2 + 6*b**2 + 7*b**2 to o*b**2 + g*b + t and give o.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -4*j + 16. Let t(a) be the first derivative of 4*a - 1\/2*a**4 - 4\/3*a**3 - j + a**2. Factor t(p).\nAnswer: -2*(p - 1)*(p + 1)*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the first derivative of 9*r**4\/4 - 4*r + 22. What is the first derivative of h(l) wrt l?\nAnswer: 27*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (30000\/(-2))\/((-29)\/4176). What is f rounded to the nearest 100000?\nAnswer: 2200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 = -8*g - 20 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*x + 51*x**2 + 8*x - 11*x - 5 - 47*x**6 - 142*x**6 wrt x?\nAnswer: -22680*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1590.073 + -2265.1079. Let k = w + 675. What is k rounded to 3 dps?\nAnswer: -0.035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.66 - 0.7. Let i = a - -2.54. Let n = 0.5 - i. Put n, 5, 3 in increasing order.\nAnswer: n, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l + 1069095 = -v + 1069064, 4*l = 5*v + 197 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the second derivative of 3*p**2 - 1\/6*p**3 - 49*p + 1\/3*p**4 + 0. Let o(g) = 4*g**2 - g + 5. Determine -5*a(k) + 6*o(k).\nAnswer: 4*k**2 - k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + q + 0 = 5, 0 = -5*a + 2*q + 18. Suppose -12 = -a*h - 0*h. Suppose -2*u + l + 46 = 0, h*u - 62 = -0*l - 2*l. Is 19 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 671801503?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = 4171*h - 4161*h. Which is the closest to 5? (a) -6 (b) h (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4475 - 4482.382. Round z to zero decimal places.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -113? (a) -18.7 (b) -4 (c) 1\/25 (d) 16 (e) 5 (f) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, -13\/7, 1\/5, -6, -29, 4?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times -49545\nAnswer: -14863.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (27\/54)\/(4\/144)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.2029 - 5.1841. Round m to 1 dp.\nAnswer: -6.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -ac89e (base 15) in base 3?\nAnswer: -1000212200012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 4101411, 8202824, 12304233, 16405638, 20507039, 24608436, 28709829?\n\"Answer: -2*m**2 + 4101419*m - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -98 - -103. Suppose t*s - 3652 = -1467. Suppose 3*b = -0*b - 3*k + 603, 2*b - 5*k = s. Does 22 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes before 8:12 AM?\nAnswer: 1:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c - 2*c - 3. Let a(i) = -i + 2*i**c - 5*i**2 - i**3 - 5*i. Let p(m) = 5*m**3 + m**2 - m + 1. Let r be p(1). What is a(r)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(1\/4)\/k**7*(k\/((k\/(((k*k**(-2\/9))\/k)\/k)*k)\/k))**(-5\/6))**(-4) assuming k is positive.\nAnswer: k**(619\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 333 and 65305.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 a when two letters picked without replacement from {a: 6, s: 1, z: 4, u: 1, q: 4, j: 3}.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 58 - 41. Calculate the remainder when h is divided by 12.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 144719860 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 41049\/27364 + -3\/27364. Let n(p) be the first derivative of 3\/4*p + 9\/8*p**2 - m*p**4 - 1 - 3\/2*p**3. Solve n(g) = 0.\nAnswer: -1, -1\/4, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -6*b**3 + 18*b**2 - 16*b + 22. Give j(4).\nAnswer: -138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -83968006, -83968008, -83968010?\nAnswer: -83968012","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-568861)\/(-112658) - 20\/104.\nAnswer: 34\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**2. Let k(y) = -5*y**2 + 9*y + 12. Let w(p) = k(p) + 6*s(p). What is the remainder when w(-10) is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 169 and 1674283?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2737 - -308cb?\nAnswer: 33335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17496723?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 27\/2 of a litre?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1733209802?\nAnswer: 2, 433, 2001397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2073?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the first derivative of 5*v**3\/3 - 15*v**2\/2 - 20*v - 33. Solve g(i) = 0 for i.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 29 = -41, -4*m = k - 5161. List the prime factors of k.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1299806, -2599613, -3899420, -5199227, -6499034, -7798841?\n\"Answer: -1299807*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -97536 and 36.9?\nAnswer: -3599078.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**3 - 4*c**2 + 2*c + 7. Let u be k(-4). What is the closest to u in -5\/3, -5, -1\/4?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from edeeeeeeeeee. What is prob of picking 1 d and 3 e?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 17 = 3*u + 101, y + 28 = -u. What is the remainder when (2 - (-57)\/(-12))*u is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 17 = 7. Factor -7*g**3 - 5*g**3 - 6*g**a - 14*g**3 + 29*g**3.\nAnswer: 3*g**2*(g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.91 + -0.09. Let j = 87 - 603\/7. Which is the closest to j? (a) -4\/5 (b) 4 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 + 0*m + 9*m**2 - 9\/2*m**3 + 1\/2*m**4 = 0.\nAnswer: 0, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:56 PM and 8:46 AM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.91 + 1.09. Let s = -7 - -13. What is the smallest value in q, -5, s?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 divided by 26.\nAnswer: -11\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 96 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**3 - m**2 + 18*m + 5. Let l be d(4). Let t(i) be the first derivative of -i**2\/2 + 3*i - 6. Calculate t(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 18070177 to the nearest integer?\nAnswer: 262","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 118963 and 247?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 240, 989, 2238, 3987, 6236, 8985, 12234?\nAnswer: 15983","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 2 + (1 - -15) + -186 + 171?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1572 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z**4 - 11612*z**3 + 163300*z**2 - 151684*z = 0. What is z?\nAnswer: -2917, 0, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2486542 and 0.4.\nAnswer: -2486541.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 4 = l, 2*a + 3*l + 3 = 0. Suppose -5*y - 4*q + 18 = a, q = -3*y + 9 - 1. Suppose -d = y*d - 15. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*q**5 + 327*q**4 + 9*q**3 - 975*q**2 - 654*q = 0. Calculate q.\nAnswer: -1, 0, 2, 109","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 35\/10 - 9\/3. Let k = 0.204 - 67.204. Let f = 72 + k. Is b < f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**2 - 686*s - 4083. What is a(-6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75319365.\nAnswer: 3, 5, 11, 23, 89, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6b (base 15) to base 11.\nAnswer: -92","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 8*l - 1. Give v(-3).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8529.94g in kilograms?\nAnswer: 8.52994","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111000111000001110100010 + -1?\nAnswer: 111000111000001110100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 78130423 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a millisecond in microseconds?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -46\/19 or 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = 5*v - 16, 0 = -3*v - 3*x - 0*x + 12. Suppose v = -5*p + 4*z + 281, 5*p + 2*z - 37 = 220. Does 18 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-44)\/(-220) + -1*58\/(-10). Is ((-27)\/k + 4)*-10 + 7809 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the second derivative of 5*n**3\/3 - 91*n**2\/2 + 67*n. What is the first derivative of c(s) wrt s?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4271 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.088 less than -26593957903?\nAnswer: -26593957903.088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35251 divided by 348.\nAnswer: 35251\/348","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 95294 and 524117?\nAnswer: 1048234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 650451 and 1719345.\nAnswer: 4143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 98\/(-34) - (-21)\/7. Let r = 0.2 - -0.8. Which is the closest to 2? (a) r (b) o (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20353916 is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25 - 35 + 60 - 20*o.\nAnswer: -20*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 + 8. Let d = -4 + n. Sort d, 3, 4 in descending order.\nAnswer: 4, 3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 143 = r - 4*s, -2*r + 750 = -s + 723 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.6112 + 1.3888. Let j = -18.2 + -4.8. What is the smallest value in j, q, 3, -4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*z - 31 = 45 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 22 + -24.7. Let n = -0.3 + u. Suppose -8*h = -502 + 534. What is the closest to -2\/3 in 0, n, h?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**1)**(-37)\/(i**1)**16)\/(i**8\/(i\/i**10))**(-14\/9) assuming i is positive.\nAnswer: i**(-239\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1560, 1552, 1530, 1488, 1420?\nAnswer: 1320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 260270078 to the nearest integer?\nAnswer: 16133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 256 = g + 253 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -574*a - 5168. Determine g(-9).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2747 - -2747.4. What is the smallest value in h, 197\/7, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 291 + -288. Suppose -g = 6*k - 444, x*g - 1268 = -0*g - 2*k. Does 28 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 + -1647?\nAnswer: -164c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 31 + -23. Let p(o) = -o**3 + 9*o**2 - 9*o + 11. Let q be p(k). Let u be 10\/q*(-15)\/(-10). Calculate the greatest common factor of u and 40.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 3*c + 3 - 27, c + 4*l = 33. Suppose 15*s = c*s + 4. Factor 0 - 6\/5*q**s - 2\/5*q.\nAnswer: -2*q*(3*q + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*a**3*l**2 - 5*a**3*r - 16080*a**2*r + 245162*l**2*r + 2*l**2 wrt l?\nAnswer: -4*a**3*l + 490324*l*r + 4*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9410)\/(-79044)*266\/10?\nAnswer: 19\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**3 + 4*g**2 - g + 2. Suppose 0*u + 2*u - 8 = 0. Let o be t(u). Let l(a) = a + 2. Let q(b) = -9*b - 21. Determine o*q(z) - 21*l(z).\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in fourty-five quarters of a microgram?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 13*k - 25 + 12 - 5 - k**2. Let g be y(6). Suppose 3*a + 13 = 229. Calculate the greatest common factor of a and g.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -3 (b) 4 (c) -0.3 (d) -2\/7 (e) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -17 - -19. Let g = -6 - -8. Calculate the remainder when u is divided by g.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 89 or -8199\/2?\nAnswer: -8199\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c + 7. Give h(2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1013 is divided by (45\/21)\/(63\/4263)?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 2*x + 8. Let c = -5 - -11. What is the units digit of k(c)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -17 + 77. Let j = 0 - f. Is j a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide ((117\/(-18))\/(-13))\/((-5)\/(-3240))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7491 to the power of 1\/4, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 5*x - 13, 8*x = 6*x + 4*l + 8. Suppose 2*j - 4*c + 5 = -j, 5*c - 14 = -4*j. Let z(w) = -w**2 + j + 5*w + w**x + w**2 - 6*w. Determine z(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 192 and 795936?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/9394 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7357, -7204, -6947, -6580, -6097, -5492, -4759?\nAnswer: -3892","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18, -37, -68, -111?\nAnswer: -166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 5*x**3 + 2*x**2 - 3*x + 3. Find the common denominator of m(2) and 10\/3*(6 + 621\/(-72)).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 785 + -7012\/9. Find the common denominator of c and -50\/3.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -1641.07384 and -1.\nAnswer: -1642.07384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2182\/5 (b) -3\/4 (c) 25\/2 (d) 1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -129\/477880 and 71\/47130915.\nAnswer: 377047320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -134*s = -137*s - 7*l + 20, 3*s = 3*l + 30. Solve -17 = -3*r - 5*q - 30, 5*q + s = r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s - s - s)*(-5 + 3 + 1)*(0 + 4 - 3).\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.9 - 38.9. Let m = 37.0000042 + p. What is m rounded to 6 dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -f**5\/4 + 3*f**3\/4 + f**2\/2 = 0. What is f?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -2*j - j + j - 7 - 9*j. Let q(s) = -5*s - 3. Let b(h) = 13*q(h) - 6*v(h). List the prime factors of b(3).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 442*q + 6. Let t be u(7). Round t to the nearest 100.\nAnswer: 3100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -193917*2.\nAnswer: -387834","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1179654 divided by 393218?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26 - (11 + (-47 - -6)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18100238 and 182?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes before 6:43 PM?\nAnswer: 9:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3 and 19638085.\nAnswer: 58914255","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 9, n: 1, r: 4, q: 1}. What is prob of sequence cc?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1221.2 rounded to the nearest one hundred?\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add together -8 and 486334025.\nAnswer: 486334017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -2230 times -3?\nAnswer: 6690","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g + 8818. Let j(x) = 14*x. What is j(y(d))?\nAnswer: -14*d + 123452","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*(o\/o**(-11)*o*o)\/o*o**(-2\/25))**(6\/11) assuming o is positive.\nAnswer: o**(2088\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5962*x - 14 = 5964*x for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1439150 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (28 + -31 - (-14 + 2))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) -1\/7 (c) -78\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -47 + 30. Let a = 24 + k. Calculate the smallest common multiple of 10 and 8\/(-28) + 58\/a.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 141*y. Let o be x(8). Suppose 0 = -4*j + 240 - o. Let q be j\/(-7) + 40\/140. What is q rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102*r = -99*r - 6. Suppose -9 + 7 = r*j. Let x = -519\/14 - -37. Are x and j unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1842907 and -0.003.\nAnswer: 5528.721","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -34, -67, -100?\n\"Answer: -33*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 + 42 = 4*l. Suppose k - l - 70 = 0. Is k a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 90 and 5547645.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -95*p**2 + 11*p - 14. Give a(2).\nAnswer: -372","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 198 - 350. Let f be 6\/(-30) + t\/(-10). What is the greatest common factor of 105 and f?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 393 + -294. Calculate the highest common divisor of 33 and p.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9796130 and 123431238.\nAnswer: 617156190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1082.7 - -1073.7. What is the closest to o in 1, 0.9, -1\/3, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z - 4. Suppose 4*v - 28 = 3*q, 2*q = 3*v - 12 - 7. Let f be t(q). Suppose -m + 395 = f*m. What is the tens digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 + (8 - (16 - 3) - 7)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and 31.\nAnswer: 3.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9 - 1. Let l be 80\/2*40\/50. Calculate the greatest common factor of t and l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + (-1 + 15 - (-23 - -11)) - (-28 - 13).\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f = 3*i + 11, -5*i - 4733*f - 11 = -4736*f for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -30 + (-3 - -22) - (-4 - -5)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 2*h**2 + 5*h. Let q(v) = 2*v**2 - 3*v. Let x be q(2). Let f(d) = 5*d**2 + 6*d - 2*d**x + 0*d. Suppose -554 + 14 = 90*p. Calculate p*o(m) + 5*f(m).\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -14, -48, 3, -5 in decreasing order.\nAnswer: 3, -1, -5, -14, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12220300022000 - 1?\nAnswer: 12220300021333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 420, 436, 446, 450?\n\"Answer: -3*z**2 + 25*z + 398","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -260c - 2da7?\nAnswer: -54b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 329708836 is divided by 32?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 25.8 - -9.\nAnswer: 34.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -6*n - 51. Let j be k(-8). Is (0 - 3) + 7157 + j*1 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (72\/90)\/((-5)\/(-20) - 26\/40). Let o(l) = l**3 + 4*l**2 + l - 7. Give o(q).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 173610376.\nAnswer: 2, 21701297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*q + 13*q + 30. Let l be (5\/10 + 1)\/(q\/8). Suppose -l*o = -5*o + 6. Solve 0 = o*n - 2 - 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1337 (base 13) to base 14.\nAnswer: 1006","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 128 + 42. Let h = -172 + l. Let s(x) = -3*x**3 - 3*x**2 + 3*x + 5. Let c(j) = 4*j**3 + 4*j**2 - 3*j - 6. Let w(d) = 5*c(d) + 6*s(d). Calculate w(h).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 i, and 2 q when four letters picked without replacement from iqqiiiiidiiiidqiii.\nAnswer: 13\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 3, z: 1, g: 7, e: 3, k: 1, d: 3}. What is prob of sequence ddgz?\nAnswer: 7\/12240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -135550 + -32?\nAnswer: -135602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 2*m + 4*m - 4*m. Let i(v) = -33*v + 17*v + 21*v - 13*v**3 + 19*v**3 + v**2 - 5*v**3. Suppose 0 = 7*d - 4*d + 15. Give d*p(s) + 2*i(s).\nAnswer: 2*s**3 + 2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*d + b - 15, 2*b + 3 = -d - 2*b for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3083295?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/((a\/(a*a*a**(2\/15)*a*a))\/a)*a\/(a*a**(-5\/2)))\/(a*a*(a*a\/(a\/(a*a\/a**(-2\/9)))*a)\/a*a)**23 assuming a is positive.\nAnswer: a**(-12193\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/6 (b) 3.2 (c) -5\/2397717\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -787995, -788003, -788015, -788031?\nAnswer: -788051","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 110*i - 124*i + 70. Solve 3*o - i*a = -22, 1 = 2*o - a + 4 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-62)\/3)\/((-2)\/3). Suppose -y + 16 = -h. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*j + 5*w = -10*j + 65, 0 = -j - 3*w + 39 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (5\/1)\/((-2)\/(-2)). Suppose -5*w - 5 + 25 = -s, -2*w = -2*s. Suppose -w*d - p = -60, g*d = -2*p + 25 + 40. List the prime factors of d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25721163.\nAnswer: 3, 13, 219839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2 - 4)*(-5)\/30. List the prime factors of (15\/(-45))\/(d\/(-1197)).\nAnswer: 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -100011101010010101010 (base 2) to base 8\nAnswer: -4352252","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 31594603079 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 6 + 7*x - 11)*(-x + 2*x + x).\nAnswer: 14*x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0*(25\/(-10))\/(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -19 + -5 + 13 + 6.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-35)\/(-10) + ((-4)\/8 - 4). Put -3, u, 0, -5 in descending order.\nAnswer: 0, u, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 6 = -t, -14*t - 8 = -4*f - 18*t. Let i(q) = -3*q - 5. Calculate i(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -114 + 117.06. Let w = s + -1.06. What is the fourth biggest value in 3, w, -4\/7, 10?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -826*c**2 + 3*c + 2. Let f(l) = -23*l**2. Determine b(f(x)).\nAnswer: -436954*x**4 - 69*x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10 and 73315?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 17 + -f?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (105\/2)\/(161*80\/(-3680))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2793066 less than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (17\/(-1139))\/((-58)\/(-116))?\nAnswer: -2\/67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20979 and 20202.\nAnswer: 777","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*-2*(((sqrt(153) - ((1*sqrt(153) - sqrt(153)) + sqrt(153)))*-6)\/(sqrt(9) + sqrt(9) + (sqrt(9) - 1*sqrt(9))*2)*4)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17 + 26 + 12)*(0 + d**2 + 0).\nAnswer: 55*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1793?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve z = 6*x - 7, -108649*x + 3*z + 1 + 4 + 1 = -108646*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 24513 (base 8) in base 11?\nAnswer: 7a40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 times 688?\nAnswer: 198832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.07 (b) -0.2 (c) 9\/2 (d) -323\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 4, -259, -15 in descending order.\nAnswer: 4, -3, -15, -259","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -5*g - 5*q, 0 = 5*g - q + 1 - 21 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10, -24, -54, -106, -186, -300, -454, -654?\nAnswer: -906","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -133 (base 4) to base 12.\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the third derivative of -35*q**4\/12 + 3097*q**2. Let c(n) = -7*n. Give p(c(w)).\nAnswer: 490*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -17 - -6. Let a = 19 + q. Calculate the remainder when 15 is divided by a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 245 and 18620?\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 e when two letters picked without replacement from ewtnk.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-18)\/(-20))\/3*16\/(-36)\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -5*l**5 - 6*l**2 - 6*l**3 - l + 10*l**2 + 4*l**5 + 4*l**4 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 30750 and 240?\nAnswer: 246000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*x - 612 = 53*x - 2 for x.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4433)\/(-26))\/11 - (10\/4)\/(-1).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b. Let p be 4*(-1 - (-12)\/8). Let g(q) be the first derivative of 0*q**2 + 0*q - p + 1\/3*q**3. Give a(g(w)).\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -19 + 61. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -19385 + 19514. Solve 0 = -2*z + 127*w - c*w, 4*z = 4*w for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -2*i**3 - 6*i**2 - 5*i - 14. Give g(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**2 + 13*p - 11. Let j be m(8). Let o = 6 - j. Let k = 42 + o. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (402\/1474)\/((-7)\/462).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -9021 - 118?\nAnswer: -9139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6219*c - 32 = 3*y + 6220*c, 5*c - 40 = 5*y for y.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -26 and 355.\nAnswer: -9230","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/((-234)\/(-299)) - 3\/(-18). Let m = 8 + -8. Suppose -2*d + m*d = 2. Let h(x) = 6*x**2 - 6*x - 1. Let l(f) = f**2 - f. Give d*h(z) + r*l(z).\nAnswer: -2*z**2 + 2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:02 AM and 9:35 AM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Do -1266799 and -1266862 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*q - 2 + 2 + (3*q - 3*q - 2*q)*(-1 + 0 + 0))*(-474 - 6 + 241).\nAnswer: -1434*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 11841404881 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the third derivative of f**7\/35 + f**6\/120 - f**4\/24 - 647*f**3\/3 + 2302*f**2. What is the second derivative of r(v) wrt v?\nAnswer: 72*v**2 + 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 692597.\nAnswer: 17, 131, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-6)*-1)\/((-107)\/642)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -115\/12 and 99\/56.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 9*p**2 - 2*p - 1. Let r be t(2). Let i = r - 21. Solve -l + 4*y + 12 = 3*l, -i = 5*y for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 8, k: 4, d: 1}. What is prob of picking 1 d and 2 n?\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 1123388.21 to the nearest one hundred thousand.\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:59 PM and 8:43 PM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3978*n**4 - 6772*n**2 wrt n?\nAnswer: 95472*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = -4*t + 4*l, 0 = 192*t - 193*t + 5*l - 14 for t.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -448 + 544. Let h be (s\/80)\/((-3)\/(-15)). Find d, given that -20\/21*d**5 - 22\/21*d**4 - 4\/21*d + 4\/7*d**3 + 10\/21*d**h + 0 = 0.\nAnswer: -1, 0, 2\/5, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/1242 and -67\/1782.\nAnswer: 40986","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2098?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-33)\/(-66))\/((-3078)\/36*(-5)\/(-30))?\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fhiifh. Give prob of sequence ifih.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4016060*m**4*y + 3181*m**2 + 6*m*y + 183*m wrt m?\nAnswer: 96385440*m*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 132243523 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 32 - 7. Let v = -523 + 487. Let k = v + o. Which is the third biggest value? (a) 3 (b) -3 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2894 + -1961. What is the hundreds digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + -2.5.\nAnswer: -8.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 124510256?\nAnswer: 2, 13, 211, 2837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 52251 + -5747567\/110. Calculate the common denominator of j and 87\/110.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1576, 3149, 4722, 6295, 7868, 9441?\n\"Answer: 1573*m + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 - t)*(15 - 4 - 2) in the form z + f*t and give f.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 20 - 20.3. Let m(c) = c**2 + 8*c + 12. Let f be m(-4). Sort 3, p, f.\nAnswer: f, p, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 195463?\nAnswer: 71, 2753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 20*p**2 + 2. Let b be w(-3). Let q = 295 - b. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1198 and 782890?\nAnswer: 468951110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 449 divide 3051021808?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the second derivative of -1\/6*c**3 + 0 - 3*c + 1\/20*c**5 - 5\/2*c**2 + 0*c**4. What is g(0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rirm when four letters picked without replacement from riiimiiiiirviivviii.\nAnswer: 13\/46512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -22635781.2182 + 22642898. Let r = a + -7131.78179952. Let f = 15 + r. What is f rounded to seven decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000455515 to 4 dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-42)\/(-231) + 62\/22. Suppose 2*x + 1 - 22 = -5*w, q*x + 3*w - 18 = 0. Solve 12 = -4*n, 2*p = -x*p - 3*n + 6 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the second derivative of r**5\/20 + 7*r**4\/12 + r**3\/6 + 7*r**2\/2 + r. Let o be x(-7). Let q = -7.3 + 7. Put q, o, 0.2 in decreasing order.\nAnswer: 0.2, o, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -656 divided by -41?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (13 - (25 - 7)) + (-1 - -1)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**2\/4 - 90018416*v + 8103315219149056.\nAnswer: (v - 180036832)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 46442, 185764, 417966, 743048, 1161010, 1671852, 2275574?\n\"Answer: 46440*h**2 + 2*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/8? (a) -1.6 (b) -2\/11 (c) 36 (d) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/25898 or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 238 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1656 - 1651. What is the third smallest value in 1, 32.1, s?\nAnswer: 32.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 30 and 27265?\nAnswer: 163590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -4*q**3 - q**2 + 4*q + 1. Let z(j) be the second derivative of 11*j**5\/20 + j**4\/4 - 11*j**3\/6 - 3*j**2\/2 - 4455*j. Give -8*r(g) - 3*z(g).\nAnswer: -g**3 - g**2 + g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*k - 17*k**3 + 8*k**3 - 7*k**3.\nAnswer: -16*k**3 + 5*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 190?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 2 f, and 1 q when four letters picked without replacement from xffxgxxgqgg?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 5100 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46221844.\nAnswer: 2, 17, 679733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 40275840559 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**3 + 10*r**2 + 10*r + 11. Let f be b(-9). Suppose -f*l = 2*l - 3*v, -v = -5*l + 11. Let c(k) = -l*k - k**2 + 4*k + k. Give c(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, -7, -4, -1, -2 in increasing order.\nAnswer: -7, -4, -2, -1, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 136 - 69. Let t = 111 - i. Does 11 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 482.89 plus 0.055918341?\nAnswer: 482.945918341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, y: 1}. Give prob of picking 1 q and 1 y.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 221 divide 1288975?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 8425537 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 1691?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11 + 40. Let r = -12 + y. Let m = 0 - -50. Calculate the remainder when m is divided by r.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 213*m. Let a(x) = -128651*x**2. Determine y(a(q)).\nAnswer: -27402663*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 70762819 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kq when two letters picked without replacement from qukpqqqqqku.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 n when two letters picked without replacement from {a: 1, s: 3, z: 5, c: 2, n: 1, r: 1}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -266 - -265.9372. Let s = k + -4.0472. Let n = 0.79 - s. What is n rounded to 0 decimal places?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1330 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 + -7. Let a be 0 + n\/((-4)\/2). Find the third derivative of a*l**4 + 0*l - 4*l**4 - l**2 + 0*l wrt l.\nAnswer: -24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*y + 14*y**3 - 22*y**3 + 9*y**3 + 1 - 132*y**4 + 51*y**4 + y to c*y**2 + g*y + w*y**3 + d + p*y**4 and give g.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -687 divided by 28\nAnswer: -687\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -226 divided by -106496?\nAnswer: 113\/53248","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 2*q**2 + 5*q + 11. What is the least common multiple of t(-2) and 11?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 2*v - 1. Let u be i(1). Let w be 3 - (-2 + u)*2. Suppose w*b = 4*r + 90, -2*b + 0*b - 5*r + 3 = 0. Calculate the least common multiple of b and 8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 c when two letters picked without replacement from {x: 1, y: 1, g: 1, o: 1, c: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.8507 rounded to 0 decimal places?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.061 + 308155723327.\nAnswer: 308155723326.939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12\/5*m**2 + 28\/5*m**3 + 12\/5*m**4 - 4*m**5 - 8\/5*m + 0 = 0. What is m?\nAnswer: -1, -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the second derivative of -2*a + 0 - 1\/60*a**4 - 2\/5*a**2 - 2\/15*a**3. Find z, given that n(z) = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 + -2. Suppose w + n = -v - v, -5*v = 2*w + 21. Find the third derivative of 0*a**w + 0*a**3 + 2*a**2 - a**3 wrt a.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -5*y - 10. Let f be a(-2). Suppose -19*x + 33*x - 55734 = f. Is x 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 5:51 AM and 3:27 PM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 374674138 by -2.\nAnswer: -187337069","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/(-2)*(-2 - 6\/(-3)). Solve 2*q + 14 = -2*k, v*q - 2*q + 4 = -4*k for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 3, c: 7}. Give prob of sequence cooc.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vnpvnc. What is prob of sequence cn?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2, 30, -1 in descending order.\nAnswer: 30, 3, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3*1*56000\/15. Suppose m + 0*m = -u. Round m to the nearest one thousand.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -698 + -1139310.53.\nAnswer: -1140008.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Divide -605150 by -121030.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 3*f = -9, f + 3*f + 2 = h. Let y = 10 - h. Suppose -y*k - k = -70. Is k a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**3 + y**2 + 3*y + 1. Let z(m) = -2*m**3 - m**2 - 4*m - 2. Suppose 0 = -3*g + 5*g + 4. Let n(q) = g*z(q) - 3*a(q). Determine w so that n(w) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5.9 + -3. Let q = 3 - x. Let y = -308.7 + 309. Which is the nearest to q? (a) 3 (b) 5 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 70 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 68663.38 litres to millilitres.\nAnswer: 68663380","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*w - 0*p + 2*p, p - 1 = 0. Find t such that 2*t - t - 2*t**4 + 0*t**4 - 2*t**w + 2*t**2 + t**5 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 45939028 to the nearest integer?\nAnswer: 358","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4\/(-6))\/(2\/(-12)). Suppose -4*b + 4*r + 12 = 0, 2*r + 4 = b - 2. Suppose b*t = n*t. Solve 10 = 5*l, u - l + 5*l - 8 = t for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -9 - 63. Let b = 13 - r. Let o(c) = -15*c - 16. Is o(b) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 18 = -3*c, -3*n - c = 4*c + 22. Is n\/5 - 178\/(-10) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 975.\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 g, and 1 n when three letters picked without replacement from gwwsmgwwwmmwgsn.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 76 + 4?\nAnswer: 7a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 - -2. Suppose -4*b - r + 12 = d, -3*b + 5*r + 6 = -b. Solve 0 = -0*n - b*n + 3 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/(-171)*((-114)\/8)\/19?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 11*d - 8. Let j be t(-2). What are the prime factors of 186 + (-8)\/(-10) + (-6)\/j?\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-3.65.\nAnswer: -3.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) 28 (c) -3 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -12 from -13756540811.7.\nAnswer: -13756540799.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -128.8 + 145. Let p = w + -14. Let h = p - 1.8. Sort 3\/7, h, 0.\nAnswer: 0, h, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 185*w**4 - w + 90 wrt w?\nAnswer: 2220*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 6652750 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1347.\nAnswer: 3, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 13) to base 15\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 965 divided by -152.\nAnswer: -965\/152","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 + 10.4308945?\nAnswer: -12.5691055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 34\/(-4) + 4\/8. Let i = 12 + l. Solve -3*o + i*z = z, 4*o - 15 = z for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 0.2 (b) -2\/61 (c) -1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/24 and -69\/12296?\nAnswer: 36888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 1401, 0, 11, -5, 29, 4 in increasing order.\nAnswer: -5, 0, 4, 11, 29, 1401","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/492318 and 26\/243.\nAnswer: 492318","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 32921481?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**4\/4 - v**3\/2 - 3*v**2 + 9*v\/2 + 27\/4.\nAnswer: (v - 3)**2*(v + 1)*(v + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, y: 1, l: 4, b: 1, s: 5, u: 1}. Give prob of sequence buv.\nAnswer: 1\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 4665?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4\/11 + (-120906)\/(-198) is divided by 34.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 1226*k - 19. Let c be b(12). Let r = c - 7890. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2241, -0.1234, 0.4 in ascending order.\nAnswer: -0.1234, 0.2241, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and 230691?\nAnswer: -92276.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 - (0 - -157))*(-22)\/66. Calculate the greatest common divisor of 182 and d.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2168, 2167, 2166, 2165, 2164?\n\"Answer: -j + 2169","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-16)\/(-6) - 10\/(-30). Is n less than or equal to 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 12 = v. Suppose 4*y - v*t = 578, 0*y + t = y - 145. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) 2\/9 (b) 0.3 (c) 4\/663\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5798 or 63794\/11?\nAnswer: 63794\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.15786 + 0.155\nAnswer: -0.00286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + r - 15 = 7, -20 = 2*u + 4*r. Let j(a) = -5*a - 6. Let i(v) = 6*v + 5. Let h(b) = u*i(b) - 5*j(b). Let m(x) = x**2. Give h(m(w)).\nAnswer: -11*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 60670 divided by -5?\nAnswer: -12134","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from {g: 11, e: 3, z: 4}.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + q + 4*j = 14, -j = q - 9. Let x = -14 - -17. Suppose x*d = -d + 8. Calculate the lowest common multiple of d and q.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 + 0)*(-1 + 2*y - 5 + 5).\nAnswer: 4*y - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-10)\/3*6\/(-65). Let n = -14\/39 - f. Let k = -1 + 5. Put n, k, -1 in descending order.\nAnswer: k, n, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aiiaiaiq. Give prob of picking 1 i and 1 q.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 834020 and 1058420?\nAnswer: 3740","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 148853276 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1009 by -10.\nAnswer: 1009\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1942582513 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, y: 1, a: 1, u: 2, b: 1}. Give prob of picking 2 c, 1 y, and 1 b.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3052584079 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -53, -106, -163, -224, -289, -358, -431?\nAnswer: -508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -176 + 512. Is 21 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-4\/3))**(8\/15)*p\/(p**(-2\/11)\/p)*p**(-1\/2))**(-5\/6) assuming p is positive.\nAnswer: p**(-961\/1188)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/3726 and 3\/483*1769\/(-366).\nAnswer: 26082","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.423299 to 3 decimal places.\nAnswer: -1.423","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -223 + -1204. Let h be 2\/(-5) - 4933\/5. Let n = i - h. What is n rounded to the nearest 100?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3967 + -1032. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 3*w - 2)*(-3*w**3 - w**3 + 2*w**3 + (0 + 2*w**2 + 0)*(443 + 55*w - 443) + w**3 - 4*w**3 + 0*w**3) as h*w**4 + k*w**3 + n*w + j + i*w**2 and give h.\nAnswer: -315","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - i - 8 = 0. Let t be 1\/(-2 + (-7)\/i). Is (-28)\/(t\/8*4) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 + -6. Let w = 0.12 + 1.28. Let z = w + -1.1. Which is the closest to 1? (a) r (b) z (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**3 - 215*p**2 - 433*p - 12. What is b(-2)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 291574 - 114903. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7569696 divided by 24?\nAnswer: -315404","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 88, 300, 512, 724?\nAnswer: 936","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the first derivative of -20\/11*y**3 + 29\/11*y**2 - 12\/11*y - 14 + 7\/22*y**4. Find v, given that c(v) = 0.\nAnswer: 2\/7, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -14 - 24 - 32 - 23*f - 5*f**2 - 14*f**2 - 5 - f**3. Let c be b(-18). Solve c = -4*w + 11 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36458?\nAnswer: 2, 18229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -158*d = -159*d + 1. Let b(n) = -1. Let t(r) = -2*r - 2. Let o(v) = d*t(v) + 4*b(v). Determine o(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -r + 4*r + 7 - 2 - 2*r.\nAnswer: r + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 5, l: 1, n: 1, b: 2}. What is prob of sequence ln?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 65006061 to the power of 1\/2, to the nearest integer?\nAnswer: 8063","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u + u - f = -14, 3*u - 6 = -3*f for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n + 27 = -o, 4*n + o + 7 = 25 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i = 115 - 193. Let v(a) = 3*a**2 + 21*a - 2. List the prime factors of v(i).\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*b + 3*b**2 + 8*b - 5*b**2 - b**3 - 3*b**2 + 7*b**2 - 5 to y + m*b**2 + s*b + j*b**3 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -6*i + 71. Give a(13).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**2 - 5*q + 3. Let j be r(7). Suppose 3*h - 58 = j. Solve -d = n + 9, 2*n + h = -3*d + 3 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + 10 + (-9 - -1) - -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -8 - (7 + (1 - 7) + -7)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -64840 - -118139. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1011110100101000000100 (base 2) in base 5?\nAnswer: -1243133030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4758 or 3843?\nAnswer: 4758","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(684) + sqrt(684) + (1*sqrt(684) + -4)**2)*5.\nAnswer: -3500 + 180*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 350*d**5 + 94*d**2 + 33*d - 905*d**5 - 33*d wrt d.\nAnswer: -33300*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, s: 1, f: 3, y: 3, i: 1}. Give prob of sequence asa.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 5518301234 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2333 is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -83 + 88. Solve 4*g = -w*x + 32, -6*g = -g - x - 11 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 11 + 13 = 0. Suppose -4*a + o*r + 1890 = 4*r, -3*a + r + 1430 = 0. What are the prime factors of a?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8160\/1040 - (8 - 0).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -112 + 122. Let h be (4\/b)\/((-32)\/(-320)). Suppose -4*u = h*u - 3*u. Solve u = w - 3*s + 1, -w - 4*w - 19 = -s for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -2*k + 13. Let f be d(4). What is the highest common divisor of f and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**3 + 48*w**2 - 46*w - 27. Give n(47).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -s + 2*s + s - 6*s to the form b*s + y and give b.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(((((l*l**(-1))\/l)\/l)\/l)\/l))\/l)**16*((l\/(l**(-3)*l*l))\/l)**(-8) assuming l is positive.\nAnswer: l**56","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 3*x = 9, -6*x + 3*x - 5 = 5*i. Suppose 0 = 2*o + 2*a - 1674, i*o + 28*a - 1704 = 32*a. What is the tens digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18458630 and 8755?\nAnswer: 515","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b + 11. Calculate c(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 445, 930, 1415, 1900, 2385?\n\"Answer: 485*d - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16 - 17. Let m = -15 + 8. Let v = 5 + m. Sort v, u, -1\/2 in decreasing order.\nAnswer: -1\/2, u, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -j + 135, 5*j - 2*r - 708 = -21. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 35309 + -3213086\/91. Let p = -1\/13 + v. What is the second biggest value in 0.1, 3\/5, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 22*w + 18*w - 1 + 10*w to the form n*w + c and give n.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2654 - 2594. Let o(l) = l + 6. Let x be o(6). What is the greatest common factor of x and m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 137*q**2 - 2 + 4 - 142*q**2.\nAnswer: -5*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 412 divided by -2\nAnswer: -206","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6 by 648.\nAnswer: -1\/108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -3*i + 4. Let g = -7110 - -7112. Solve g*x = i + 8 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1033202870 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**3 - 8*u**2 - 5*u - 18. List the prime factors of z(-9).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**3 + 276*h**2 + 4381*h - 4656.\nAnswer: -(h - 291)*(h - 1)*(h + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -6, -3, -11.9, -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 138*w + 7772. Let p be r(-56). Solve -72 = 32*c - p*c for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 88 is divided by 19.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 411938303.\nAnswer: 7, 23, 103, 24841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -31322102 (base 5) to base 11\nAnswer: -169024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, -4, 5, 2 in descending order.\nAnswer: 5, 2, -1\/2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -8.8911877 to two dps.\nAnswer: -8.89","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 5*k, -3*m = -0*k - 3*k - 891. Calculate the remainder when m is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -670 - 26*v**3 - 668 - 670 + 2008 + 4*v**2.\nAnswer: -26*v**3 + 4*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:06 PM and 3:52 PM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -18 + 26. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-8) + (-3)\/4. Let m = -33 - -41. Let n be 2\/m + 33\/24*2. Sort u, -5, n in descending order.\nAnswer: n, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -859, -8667, -21679, -39895, -63315, -91939, -125767?\n\"Answer: -2602*r**2 - 2*r + 1745","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/37? (a) 512 (b) 6 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 30536 and 8328.\nAnswer: 91608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 m when four letters picked without replacement from {m: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 124664 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.0389, -114, -1, 3, 0.5 in ascending order.\nAnswer: -114, -1, 0.0389, 0.5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x + 2*o = 7*x + 7, 5*o - 5 = -5*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**2 - 16*t + 11. Let y be k(15). Let s(r) = -r - 6. Let l(h) = -2*h - 13. Give y*l(j) + 9*s(j).\nAnswer: -j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 - -6. Let w = 0.9 + -1.1. Let m be (-78)\/22 - -2 - -1. Which is the nearest to h? (a) m (b) -0.4 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7910, 29, -4, 1.\nAnswer: -4, 1, 29, 7910","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -6, -1, 1320, 0 in increasing order.\nAnswer: -6, -1, 0, 2, 1320","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + (10 - 20 - -13) + (11 - -2).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jkj when three letters picked without replacement from vkjvtktjvvtkjjkk.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 422340 (base 5) to base 3.\nAnswer: 201100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.51094 + 0.14916. Let u = -0.66006979 + g. Round u to five dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -626, -628, -630?\nAnswer: -632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -201961475692 - -201961385326.099993. Let y = n + 90366. Let b = 0.1 - y. Round b to 6 decimal places.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -151*h - 101*h - 4920 = -6*h for h.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 421356 a multiple of 444?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 11898 = -2*b, -23797 = -4*y - 135*b + 132*b. Does 50 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -8147.667 to the nearest one hundred.\nAnswer: -8100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaababba. What is prob of picking 2 b?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the second derivative of -p**5\/20 - p**4\/2 - 4*p**3\/3 + 5*p**2\/2 - 10*p. Let b be t(-4). Suppose -k = -b*k. Is 3 equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9990.7079 minus 0.399?\nAnswer: 9990.3089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 7, y: 4}. Give prob of sequence yyd.\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 422 is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 6*y - 31. Let v be k(4). Sort v, -2, 2 in descending order.\nAnswer: 2, -2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1154834819 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(684) + ((sqrt(684)*-4 + sqrt(684) - sqrt(684))**2 + sqrt(684) - sqrt(684) - sqrt(684)) + sqrt(684))*5.\nAnswer: 30*sqrt(19) + 54720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(243) + (sqrt(243)*2 - sqrt(243))*2)*6)**2 + -5*(-1*3*sqrt(21)\/sqrt(7))**2.\nAnswer: 78597","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(15)\/(sqrt(432) + -1*sqrt(432) + sqrt(432)))**2)*5.\nAnswer: 1465\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 67152149 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 3*g + 3. Let j(p) = -2*p - 2. Let t = -10 - -11. Let y be (t*-1)\/((-3)\/(-72)). Let m be 2\/8 - (-126)\/y. Give m*j(v) - 3*f(v).\nAnswer: v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1)\/x*(x\/(x*x*(x**(1\/4)*x)\/x))\/x)\/(x**(1\/2)*x**3)*(x*x**(-8)*x**2\/x)**45 assuming x is positive.\nAnswer: x**(-1111\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 13698*y**2. Let l(o) = -2*o**2. Give c(l(f)).\nAnswer: 54792*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60 - 42 - 44 = -5*l + x - 27*x, 4*l + 2*x - 2 = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3178956478 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -44 + 17. Let o = l - -40. Let f = -13 + o. Solve 0 = c + 2, 1 = -m - c - f*c for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a - 4 + 4. Let b be s(-4). Let q(r) = -r - 5. Let z(o) = -2*o - 3 - 1 + o. Determine b*q(f) - 5*z(f).\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 253.73 - 27.73. Is 2\/11 > q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1698378228.5 - 471.\nAnswer: 1698377757.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 16489*g**3 + 168*g**2 - 6*g + 6. Let p(r) = -2*r**3 - 28*r**2 + r - 1. Determine -f(i) - 6*p(i).\nAnswer: -16477*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seventeen quarters of a year?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + 0 + -16 + 5 + -7 + 16.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -17.145605 - -406.9\nAnswer: 389.754395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 - 201010100022112111?\nAnswer: -201010100022112121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 21942 and 3203532?\nAnswer: 3203532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 145929?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-18)\/5)\/((-2)\/20). Let s = 26 + a. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -3557, -3921, -4285?\n\"Answer: -364*c - 3193","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 8 + 7 - 23 + 7 + b**2 + 4*b. What is p(-3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 60788 - -2?\nAnswer: 60801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7 + 2*v + v**3 + 6 - 3*v**3 to w*v**3 + n*v + x*v**2 + k and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*y = -201 + 937 + 184 for y.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40 (base 11) to base 6.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -99782\/10395 + -2\/2079. What is the common denominator of (-4)\/(-14) - 312\/(-35) and a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.49975 + -2.5. What is u rounded to 4 dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 392*t**2*w - 48*t**2 + 42103*t*w wrt t?\nAnswer: 784*w - 96","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 2 p when three letters picked without replacement from pptppppttpgpggpggtg?\nAnswer: 48\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(6\/(-16))*68\/((-1224)\/81).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 61\/241956 or 0?\nAnswer: 61\/241956","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(102)*3)\/(sqrt(216) + sqrt(216) + -2*sqrt(216) + sqrt(216) + sqrt(216)).\nAnswer: -sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-5)\/((-75)\/35) - ((-8)\/(-2))\/12. Solve x*b = -2*y, 5*b - y = y for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - 0) + -59 + 54 - -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*p = 35*p + 62. Sort 12, 5, 4, p.\nAnswer: p, 4, 5, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 2*i + 6. Let q(j) = -5*j**2 + j. Let k be q(1). Let s be w(k). Let r be 31\/(-40) + -3 + 85\/25. Sort -13, r, s in ascending order.\nAnswer: -13, s, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 405321590 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 63 + -69. Let g(d) = d**3 + 7*d**2 + 3*d + 1. Let p be g(r). Which is bigger: 17 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1061, -3803, -8357, -14711, -22853, -32771, -44453?\nAnswer: -57887","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3667, -2, 242, 5 in descending order.\nAnswer: 3667, 242, 5, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -3+-0.178476408\nAnswer: -3.178476408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a microsecond in nanoseconds?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -0*p. Let l be 4 + (-3 - p\/4). Solve -o - l = -0*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t = -3*q + 9, 2883*q - 2885*q = 4*t - 8 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50 - 46*d**2 + 50.\nAnswer: -46*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k - 3*k + k)*(1 - k**4 - 1) + (2*k**4 + 0 - 3*k + 0)*(-129*k + 53*k - 52*k).\nAnswer: -254*k**5 + 384*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-6)\/4)\/(2\/(-4)). Suppose -z*c + s = -614, 0*c - 5*s + 787 = 4*c. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 4*p**3\/7 + 8*p**2 + 244*p\/7 + 48 = 0.\nAnswer: -7, -4, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**3 - 22*p**2 - 75*p - 10. Calculate x(-6).\nAnswer: -136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2919 divided by -973?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 203659 is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3485 = 20*k - 2835. Suppose -10*g - 306 = -k. What is the smallest common multiple of g and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*v - 7*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 320\/18 - (-6)\/27. Suppose 24*j - z*j**4 - 4*j**2 - 24*j + 22*j**3 = 0. What is j?\nAnswer: 0, 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9 and 93?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -206*w**2 + 274*w - 203*w**2 + 409*w**2 - 21 - 279*w - 2*w**3.\nAnswer: -2*w**3 - 5*w - 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(-330)*4*(-3)\/1?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 90*v - 1. Let n be 0\/(-6)*1\/(-2). Let h be (n - 1) + 0 + 2. Is y(h) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 15\/(-36) - (-20)\/(-80)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f**2 - 17740*f - 15735380 = 0. What is f?\nAnswer: -1774","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5.7 + -3.7. Let w = -1.1 - -0.6. Suppose 3*s - f - 20 = 4*f, -s = -3*f - 12. What is the closest to s in 1, p, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6355 is divided by 61?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/3 (b) 63 (c) 1 (d) 0.5 (e) 13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 plus -0.040270925885?\nAnswer: -4.040270925885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the third derivative of t**5\/12 - 479*t**4\/24 + 190*t**3\/3 + t**2 - 10*t - 1. Factor x(i).\nAnswer: (i - 95)*(5*i - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/4, 0.1, 1\/5, -2\/11 in ascending order.\nAnswer: -3\/4, -2\/11, 0.1, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a centimeter in micrometers?\nAnswer: 55000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.5, -14, -2\/7, -3\/8, 0.2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 24342, 48700, 73070, 97458, 121870, 146312, 170790?\n\"Answer: a**3 + 24351*a - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5247 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.07, -3, 0.005, 1.8, -2\/153, 0.4?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3, -4, -26, -148, -1 in increasing order.\nAnswer: -148, -26, -4, -3, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/((12183\/(-434))\/(-131)).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2028 and 48.\nAnswer: 8112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 3*w = 24. Let m be (6\/(-2))\/3 + w. Let q(l) = 8*l - 9. Is q(m) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 31\/5*i - 1\/5*i**3 + 28\/5 + 2\/5*i**2.\nAnswer: -(i - 7)*(i + 1)*(i + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ncv when three letters picked without replacement from levellcln.\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(72)\/sqrt(4))\/sqrt(9)*-3.\nAnswer: 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bsxsxsssbsbsbbs. What is prob of sequence xx?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3.53 + 3.4977. What is a rounded to 2 dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -8*h**2 + 5*h - 2. Let b(o) = o**2 - o + 1. Let z(t) = -5*b(t) - l(t). Suppose z(c) = 0. Calculate c.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5060 + -181801.\nAnswer: -186861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(3 + -2*sqrt(99) - (sqrt(99) - -2*sqrt(99)*-4))*4)**2.\nAnswer: 51840*sqrt(11) + 1430784","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -26, -18, -4, 16, 42, 74, 112?\n\"Answer: 3*p**2 - p - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10 + 6. Let t be (-5 + 6)\/(0 + p\/4). Is -41 smaller than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the first derivative of -1\/60*p**5 - 3\/2*p**2 + 1\/120*p**6 + 1 + 0*p**4 + 0*p**3 + 0*p. Let j(v) be the second derivative of m(v). What is j(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 32.5 - 33. What is the nearest to -12 in d, 0.2, 5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.23018 - 14562.\nAnswer: -14564.23018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.07, 3, -7, 1\/3, -3, 0.4 in descending order.\nAnswer: 3, 0.4, 1\/3, 0.07, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 33068, 66173, 99310, 132479?\nAnswer: 165680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -34402 - -35300. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(2\/7)\/a)\/(a*a\/a**(-5)*a)*a**4\/((a\/a**(4\/7))\/a))**(-9\/2) assuming a is positive.\nAnswer: a**(261\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 24.754896 months in decades?\nAnswer: 0.2062908","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 183 is divided by 49?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 2*m**2 - m + 3*m - m + 1. Let w be l(-1). What is the units digit of (4\/w)\/(4\/2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1090864 by 9404.\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 247018 is divided by 246298.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**3 - 3*i**2 + 4*i - 5. Let b be 48\/(-18) + (-34)\/(-6). Calculate p(b).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1*(3 - 3 - -1). Let j = 4 + b. Suppose j*z = o + 17, 3*z - 4*o - 4 = 28. What is the remainder when 9 is divided by z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -186*h + 34587 - 36819 = 0 for h.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -634 * -679.2\nAnswer: 430612.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes before 8:08 PM?\nAnswer: 4:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 339.1144mm?\nAnswer: 339114.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 40\/(-3300)*(11 + -6)?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - 2*o + 35. Let m = o + -12. Calculate the remainder when m is divided by -1 - 2\/((-4)\/18).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q - q + 3*q)*(0*q**2 + 2*q**2 + 0*q**2) - 2 + 2*q**3 + 2.\nAnswer: 6*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 0.4, -25\/7, -2\/1491, -1\/6 in descending order.\nAnswer: 0.5, 0.4, -2\/1491, -1\/6, -25\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes before 1:51 PM?\nAnswer: 10:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 5\/8*(-21)\/((-413)\/(-59))\nAnswer: -15\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*4*sqrt(152))\/(sqrt(8) + -1*sqrt(8)*4 - sqrt(8)).\nAnswer: sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2171492473 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*d - 27540 = 25*d. Let u(c) = -c**2 - d*c + 3060*c. Let n(k) = 4*k**2 + 2*k - 1. Let l(h) = -h**2 + h + 3. Let o be l(3). Calculate o*u(z) - n(z).\nAnswer: -z**2 - 2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18 and 2304?\nAnswer: 2304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00055 to 2 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 14 = -h, 0 = 3*h - 25*i + 23*i - 47. Suppose 0 = -o + 222 - 34. Calculate the remainder when o is divided by h.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -2*c + 8. Give z(7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 14) to base 9\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4127430509 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -87*j**3 + 500199459*j**2 - 34496514*j.\nAnswer: -3*j*(j - 5749419)*(29*j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1512 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m**16*m)*m*m)\/m**(-5)*(m**16*m)\/(m\/m**(-2\/11)*m) assuming m is positive.\nAnswer: m**(64\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + 3 + (5 + -6 - -1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 761101.2 months?\nAnswer: 63425.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 529 + -525. Let j be 3 + -5 - (25 - -1). Which is the second biggest value? (a) i (b) -1 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3a - 5?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b + 5*h - 4*h + 15, 3*h = -6*b + 45. Let g = 10 + -9. Solve l = -g + b for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*d = 8*d + d. Let f = 22 + -37. Let u = -9 + 10. What is the nearest to 0.1 in f, u, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, e: 12}. Give prob of sequence eee.\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -54\/77 and 67\/315.\nAnswer: 3465","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 1 - 1)*(11*w**2 - 20*w**2 + 4*w + 11*w**2) as h*w**2 + q*w + b and give q.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -193 + 245. Suppose l = 3*p + 43. Suppose -2*y + 9 = -u, -2*y + 4*u = -u + 3. Solve -3*c - p*q - y = 3, 5*c + 2*q + 12 = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -137 (b) 25\/14042 (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 477, -6998, -12 in increasing order.\nAnswer: -6998, -12, 477","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3622, 4170, 5682, 8650, 13566, 20922, 31210, 44922?\nAnswer: 62550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 428584, 429710, 430836, 431962, 433088?\n\"Answer: 1126*d + 427458","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10*k + 10*k + 13*k**3 + (k**3 - k**3 + 2*k**3)*(-2 - 2 + 9).\nAnswer: 23*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*o + 109 = -5*r + 69, -o + 9 = 4*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the second derivative of -k**5\/10 - k**4\/3 + 2*k**2 + k. Let p(w) = -7*w**2 + 11 - 3*w**3 - 4 + 0*w**3. Give -4*p(v) + 7*r(v).\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -200*h - 798. Let k be p(-4). Solve 5*q + 0 - 7 = 3*z, k*q - 9 = -5*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 424286822?\nAnswer: 2, 212143411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**2 + 2. Let b(o) = 209*o**2 - o - 5349. Let a(t) = -b(t) - 4*y(t). What is the first derivative of a(h) wrt h?\nAnswer: -426*h + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 558 and 20026?\nAnswer: 180234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 + -5. Solve k - 12 = s - 6*s, 4*k + 6 = -h*s for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14827.\nAnswer: 14827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 4 - 1)*(-1 + 1 + 1)*(-2*t + 2 - 2) + (2 + 5 - 4)*(5*t - t - 3*t) + 19071 + 13*t - 19071 as n + b*t and give b.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 306840 to the power of 1\/2, to the nearest integer?\nAnswer: 554","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**2 + 16*x + 1554. What is b(-32)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**3 + 2416*v**2 + 129688*v + 1703520.\nAnswer: -2*(v - 1260)*(v + 26)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -108457 * -0.08\nAnswer: 8676.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -2*g**2 - 25*g + 44. Let b be w(-14). Let r(t) = 2*t**3 - t**2 + t. Let u be r(1). Is u greater than or equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 3*a + 5*y = -5, 0 = 5*y. Suppose a*g - 1841 = -446. Suppose -11*b = -557 - g. What are the prime factors of b?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the third derivative of 0*w**6 + 0 - 1\/3*w**3 - 3*w**2 + 0*w**5 + 0*w**4 + 1\/70*w**7 + 0*w. What is the first derivative of p(v) wrt v?\nAnswer: 12*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-5)\/(-15) + 140\/12. Suppose -5*w - 3*r = -263 - 52, 2*r = -5*w + 310. What is the greatest common factor of w and s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11202020112 + -1102021?\nAnswer: -11210122210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*w + 2 + 15. What is the tens digit of (0 - w)*(138 - -35)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5789407.677 to the nearest 1000000.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 243*u - 729. Let w be l(3). Let p(f) be the third derivative of w*f + 1\/24*f**4 + 9*f**2 + 0 - 2\/3*f**3. Determine p(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence upto when four letters picked without replacement from pppuuppuuouuuuppt.\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 539214*c**2 + 6446418 wrt c.\nAnswer: 1078428*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 707*t**2 - 908*t**2 + 19*t - 16*t - 5 wrt t?\nAnswer: -402","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes before 12:50 PM?\nAnswer: 10:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**3 - 6*a**2 + 44*a + 18. What is o(-10)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, b: 4, l: 3, a: 2}. Give prob of sequence xa.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76*t - 70*t = 12. Which is the third biggest value? (a) 1.4 (b) -1\/5 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a tonne in kilograms?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 30.7609 to one dp.\nAnswer: 30.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1404, 1436, 1492, 1572?\nAnswer: 1676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -63*h**3 + 84*h**2. Let d(j) = j**3 - j**2. Calculate 84*d(g) + f(g).\nAnswer: 21*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/3 - (57\/12 + -3).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/8*(-471)\/((-161082)\/10032).\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 3*t - 8. Suppose -2*o + 8 = 2*i, 14 - 6 = -3*o + t*i. Suppose o = f + f - 4. Let n(d) = -2*d**3 + 2*d**2 - d. What is n(f)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-456)\/(-304))\/((-9)\/(-192) - 0). Let s(n) be the first derivative of -1\/6*n**3 + 24 - a*n + 4*n**2. Determine u so that s(u) = 0.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbqs when four letters picked without replacement from {q: 1, s: 6, b: 2, z: 3, c: 2}.\nAnswer: 1\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 81 divide 1296?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 9 = 0, 0*c + 2*r - 7 = -c. Suppose 4*f = t + 590, 0 = 2*t - 3 - c. Suppose 0 = -6*h + 2*h + f. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 439*-111\nAnswer: -48729","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -2*g**2 - 5*g - 29. Let v(k) = -3*k**2 - 8*k - 44. Give 8*o(d) - 5*v(d).\nAnswer: -d**2 - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -12, 36 in descending order.\nAnswer: 36, 0.1, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (9\/(-36))\/(1\/(-120))?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 2*l**2 - 35. Let s be q(-8). Let u = -81 + s. What is the lowest common multiple of 33 and u?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -153.4 + 178. Let t = p + -25. Let f = -3 + 5. Sort f, t, 0.4 in increasing order.\nAnswer: t, 0.4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 2133392*t. Let i(g) = 5*g. What is s(i(b))?\nAnswer: 10666960*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.5+4780473031\nAnswer: 4780473031.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10 + -9. Let i = 1 - p. Let j(g) = i*g - 3*g + 7 + 0*g. Determine j(5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**2 - 6*n - 2. Let u = -61 - -55. Let l be b(u). Calculate the remainder when l\/(-6) - ((-9212)\/(-21))\/(-7) is divided by 33.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**5\/3 + 28*m**4\/3 + 40*m**3 + 48*m**2.\nAnswer: 2*m**2*(m + 2)*(m + 6)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the third derivative of 125*w**8\/168 - 1780*w**7\/21 + 32737*w**6\/12 - 93979*w**5\/15 + 18515*w**4\/3 - 9800*w**3\/3 + 47*w**2. Factor q(k).\nAnswer: 2*(k - 35)**2*(5*k - 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1192, -9542, -32200, -76318, -149048, -257542?\nAnswer: -408952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + y - 3778 = 0, -2*q - 14*y + 9*y + 3794 = 0. Calculate the highest common factor of q and 777.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*r + 3*r - 4*r)*((-1 + 1 + 6)*(1 - 2 - 1) - 4 + 0 + 1)*(2 - 5 + 1) to a + v*r and give v.\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, -4\/13, 0.4, -0.06?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-12276)\/(-165)*(-5)\/(-2). Let g = 8 + m. List the prime factors of g.\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1993358945?\nAnswer: 5, 398671789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1106098 divided by 13489\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 9 or -0.0424266?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(56)\/sqrt(7) + -1*sqrt(162).\nAnswer: -7*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 995157*l**4 - 3552166.\nAnswer: 3980628*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the second derivative of -z**5\/10 + z**4\/3 - z**3\/3 + 13*z. Let x(n) = 0. Calculate n.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z - 2*t = -4, -4*z - t - 2 = 4*t for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1138?\nAnswer: 2, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 102405 divided by -364.\nAnswer: -102405\/364","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/154 and 59\/6382068?\nAnswer: 6382068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-23 - 18 + 34)*(4 - 4 - 1) + 2 - 2 + 2)*(-34*s**2 + 64*s**2 + 12*s**2) + (0*s + s + 0*s)*(0*s - s - s) - 4 + 4 - s**2.\nAnswer: 375*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, -47308, -53?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) - (sqrt(209) + 1*sqrt(209))\/sqrt(11)) + 0.\nAnswer: -sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 4*f - 4 = 0, 3*f = 5*g - 21 + 1. Suppose -g*u + 0 = -8. Let d = 49 + -42. Solve r - 8 = -4*n, -u = -n + 4*r - d*r for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -3 (b) 2 (c) -0.01 (d) 1.59 (e) -0.2 (f) -11 (g) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u + 17 = -7. What is the remainder when 16 is divided by u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 338*r + 4 - 778*r + 376*r.\nAnswer: -64*r + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 102728677 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 502903 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) -1575\/17 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the second derivative of x**6\/120 - 3*x**5\/80 + x**4\/48 + x**3\/8 - x**2\/4 - 23*x. Determine z, given that b(z) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 5)*(-15*i + 32*i + 4*i).\nAnswer: -42*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 230 divide 4593560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*q - 6 = 15 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -570967745*h**2 + 570967745*h**2 + 2*h**3.\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o + 3*d = -5, 14*d - 15*d = -4*o - 4 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v + 4 = h, 690*v - 692*v - 3 = -5*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 4*y = 75, 5*d - 68 = -5*y + 2. What is the highest common divisor of 589 and d?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*t**2 - 23*t + 41*t - 22*t)*(6*t**2 - 2*t**2 - 2*t**2 + (-t + 3*t - t)*(0 - 4*t + 0)).\nAnswer: -26*t**4 + 8*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5297 and -0.072.\nAnswer: 381.384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7628\/7 + -1090. What is the nearest to a in 0.5, 3, 0.6, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 3 = g - 3, -12 = 4*z. Let r be -649008 + -1 + (g - 11) - -5. Round r to the nearest ten thousand.\nAnswer: -650000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 175000*j**2 + j - 2. Let x be t(2). What is x rounded to the nearest one hundred thousand?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 2 + 3)*(-129*r + 227*r + 11 - 117*r) to the form l*r + q and give l.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*b**3*o**3*w**2 - b**3*o**3*w - 4143*b**3*o**3 + 168049*b**3*w**2 + 2*b**3*w - 142*b**2*w - 2*b*o**3*w wrt w?\nAnswer: 12*b**3*o**3 + 336098*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/4*70\/42*-2. Suppose 3*w - k*l + 3 = 0, 4*w + l - 5*l = 4. Calculate the least common multiple of 14 + w\/12*0 + 1 and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z\/z**(2\/15))*z*z\/((z*z*(z*z**3)\/z*z)\/z))\/(z\/z**(-13)*z**11) assuming z is positive.\nAnswer: z**(-418\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -r + 2*r + 0*r + 0*r + 3*r - r + (-2*r + 6*r + 2*r + (2 + 0 - 4)*(4*r + 3*r - 6*r))*(2 - 2 + 7) + r - 2*r - r.\nAnswer: 29*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 106716 and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1110943, 1110956, 1110977, 1111012, 1111067?\nAnswer: 1111148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 60.73938 grams?\nAnswer: 0.06073938","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -136, -676, -1216, -1756?\nAnswer: -2296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-2\/7)\/(l*(l*(l**(-6)\/l)\/l*l)\/l)*(l**(-2)\/l)**(-27) assuming l is positive.\nAnswer: l**(607\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i\/i**(-2\/7)*i)**(-2\/35)*i**(1\/10)*i**(-3\/2) assuming i is positive.\nAnswer: i**(-389\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/5189400 and -113\/11885400.\nAnswer: 368447400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c + 12 - 2. Suppose -5*d = -3*r + 42, -c*r - 2*d = -42 + 14. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 4*r + 6. Suppose 2*i - 4*i = 0. Suppose 6*x - 3*x + 123 = i. Let d = -45 - x. Determine s(d).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9, 0, -9, -18, -27?\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*b = 17*b - 16331. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(2 + sqrt(170)\/sqrt(40)) - -3*sqrt(1700)*-2*-3.\nAnswer: 6 + 363*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 3467399 divided by -21\nAnswer: -3467399\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (36 - (-19 - -49)) + (6 - (-1 - 3)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**5)**(2\/3) assuming k is positive.\nAnswer: k**(10\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -25.962 rounded to the nearest one hundred?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1587 - 55 = -823*p - 5723 - 7441 for p.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 9450924?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1142*p**2 - 1048*p**2 + 2*p - 870*p**2 - 2*p.\nAnswer: -776*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/57160 and 113\/142900.\nAnswer: 285800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 divided by 81349.\nAnswer: -6\/81349","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 580 (base 13) to base 15\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -27*q**3 + 95*q**2 - 31*q + 23. What is x(4)?\nAnswer: -309","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -2*k. Let o(d) = -2*d - 2. Let q(f) = -f - 4. Let h(a) = 4*o(a) - 2*q(a). Determine h(m(x)).\nAnswer: 12*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (109\/2 + (20 + -19)*-10)*10\/5.\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 145712837 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xuxxxxxxxuxx. What is prob of picking 1 x and 1 u?\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70 = -w + 44. What are the prime factors of w?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3114*o + 5*u = 3123*o + 125, 2*u = -2*o - 34 for o.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(3\/7)\/k**(-7))\/((k*(k*k\/k**(1\/5))\/k)\/k*k\/(k**(-1\/8)*k)))**(3\/11) assuming k is positive.\nAnswer: k**(5463\/3080)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 6) in base 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 2*z + 87 - 126, 2*c + 5*z = 72. Solve -8 + c = -43*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/19, 1, -2, -4 in increasing order.\nAnswer: -4, -2, -4\/19, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87*i = 76*i + 33. Factor -39*q + i*q**3 - q**3 - 8*q**2 - 5*q**3 - 6 - 16*q**2 - 12.\nAnswer: -3*(q + 1)**2*(q + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4.7977 and 5.\nAnswer: -23.9885","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y + n + 42, 4*y = -3*n + 6*n + 61. Calculate the remainder when 20 is divided by y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23, -9, -11, 2, -4, 3 in decreasing order.\nAnswer: 23, 3, 2, -4, -9, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.4, 2\/9, 1\/5, 0.02, 0.08?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 165 + -11. Let x = -35 + p. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -47*f**4 - 105*f**4 - 143*f**4 + 3 + f**4 - 3 + (0*f**3 + 4*f**3 - 5*f**3)*(2*f - 2*f + 2*f).\nAnswer: -296*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of b**3*f - 21*b**3 + 7*b**2*f + 2*b**2 + 159*b*f + 122*b + 2*f + 1 wrt f?\nAnswer: b**3 + 7*b**2 + 159*b + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**3 + 5*v**2 + 2. Let m be k(5). Let s(i) = 4*i**2 + 2*i**2 - 2*i**m - 3*i**2. What is s(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = z - 2*g - 26 + 18, g = 31*z - 36*z - 37 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a**2 - 954822*a + 954825 = 0 for a.\nAnswer: -318275, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1617972?\nAnswer: 2, 3, 73, 1847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5 + 1 + -2 + 0. Let z = f + -4. Suppose -3*p = v - 7, 2*p = -z*v - 2*v + 18. List the prime factors of v.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1db805c + -2?\nAnswer: -1db805e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(12\/54) - (-63)\/(72\/(-8))\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 275409858?\nAnswer: 2, 3, 1091, 42073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -23239, -31278, -44677, -63436, -87555?\n\"Answer: -2680*q**2 + q - 20560","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p**4 - 3*p**4 - 2*p**4)*(-6 + 6 - 9*p) + p - p**5 + 2*p**5 + p.\nAnswer: 19*p**5 + 2*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 125581.4 to the nearest 100.\nAnswer: 125600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 33\/1930964 and 107\/1517186.\nAnswer: 21240604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 2*b**2 + 23*b + 17. Let n be z(-12). Suppose -n*q = -12*q - 12580. Is 37 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes after 8:30 AM?\nAnswer: 8:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 282356 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4709 and 554.\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 5*m = -225, -4*m = 12 - 32. What is the highest common factor of 30 and k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pnpn when four letters picked without replacement from pnnnpnnnpnp?\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/4 of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -5*x**2. Let y(g) be the second derivative of g**7\/1260 + g**4\/4 - 2*g. Let b(t) be the third derivative of y(t). Calculate u(b(k)).\nAnswer: -20*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*j**2 + 4*j**2 - 8*j + 11*j in the form h + z*j + p*j**2 and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -212*n**2 - 8672 + 125*n**2 + 91*n**2 + 4328*n.\nAnswer: 4*(n - 2)*(n + 1084)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-361430778)\/3528 + 7\/4. Let b = c + 102445. Calculate the common denominator of b and -20\/33.\nAnswer: 3234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -15*y**2 - 47*y - 2. Let o(j) = -j - 4. What is the remainder when k(-3) is divided by o(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3230180 and 60.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-76)\/190)\/(2\/20)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 18.2528478 to zero dps.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 1.65, 9, 0.3, -1 in increasing order.\nAnswer: -1, -0.4, 0.3, 1.65, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 85703 - 42835 - 4*u - 42851 - 2*u - u.\nAnswer: -7*u + 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen tenths of a hour in minutes?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3.9 (b) 5 (c) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -41*n - 1121. Let j be z(0). Let p = 2417 + j. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27176 divided by -2.\nAnswer: -13588","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -142350540 (base 6) to base 3.\nAnswer: -12111111011120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 4 + 5)*(1 + 1 + 0)*(0 + 1 + 0)*(2*r - 3*r + 8*r) to the form t*r + m and give t.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3716806 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:03 AM and 2:12 PM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -20805243 plus -3390269?\nAnswer: -24195512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.07 and -320280822851.\nAnswer: -320280822850.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*t**3 - 18*t**3 + 7*t - t - 21*t**3.\nAnswer: -3*t**3 + 6*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 7708*u + 3783*u + 0 + 3921*u.\nAnswer: -4*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**2 - 7*s - 2. Let k be d(-8). Let u = -7 - k. Let q = 16 + u. Calculate the highest common divisor of 19 and q.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14956 is divided by 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**3 + 7*t**2 - 10*t**2 - 15*t + 11*t. Let l be (9\/6*8\/3)\/1. Give h(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -280, -597, -1184, -2071, -3288, -4865?\nAnswer: -6832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -2*p. Suppose -i + 5 = -p*i. Suppose -18*k = 3*f - 135, -115 = -k - f - 110. Calculate the remainder when k is divided by i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(1 + sqrt(448) + sqrt(448) + -1) + 1 - (3*sqrt(448)*1 + (-1 + sqrt(448) - sqrt(448))*6 + 1))**2.\nAnswer: -1440*sqrt(7) + 100836","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**2 + 2*z - 2. Let d be l(0). Let x(h) = -1. Let w(u) = -u**2 + u - 1. Let p(r) = d*w(r) + 3*x(r). Determine p(-2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -3*l + 5*l - 3*l. Let g(r) = 2. Let p(m) = -m + 6. Let h be 46\/8 + (-2)\/(-8). Let s(b) = h*g(b) - 2*p(b). Determine u(s(n)).\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**2 - 37*r - 36. Let a(i) be the second derivative of i**3\/6 - 2*i. What is the smallest common multiple of y(38) and a(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2700 and 9?\nAnswer: 2700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -3*q**5\/4 - 813879*q**4\/8 - 50865*q**3 + 2441649*q**2\/8 + 712143*q\/2 + 203469\/2 = 0.\nAnswer: -135646, -1, -1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3612)\/1376*4\/49?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -423*q + 5 - 57*q + 0 + 0 - 2.\nAnswer: -480*q + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -31*c - 1114. Let k be m(-36). Solve 8*s - 3*s + 31 = 4*w, 0 = -k*w - s + 5 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 298909?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the second derivative of z**5\/20 + 47*z**2\/2 - 43*z. Differentiate m(f) with respect to f.\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -91780*-3\nAnswer: 275340","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 4*d = 376, -5*n + 5*d = -10*n + 460. What is the tens digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, y: 1, h: 1}. Give prob of sequence hmy.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:27 AM and 8:46 AM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/2 + 108\/24. Suppose -30 = h - l*h. Let k(g) = -14*g. Let w(o) = 3. Let i(b) = -2*b + 1. Let m(a) = -3*i(a) + w(a). Give h*m(d) + 6*k(d).\nAnswer: 6*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 2*n**2. Let p(y) = 42*y + 7. Let q(d) = -10*d - 1. Let x(k) = 21*k + 2. Let f(g) = -14*q(g) - 6*x(g). Let v(c) = 7*f(c) - 2*p(c). Calculate h(v(j)).\nAnswer: 392*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 174922?\nAnswer: 2, 11, 7951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 28 = 4*w, 0 = -4*y - 3*w + 12. Let z = -3 - -9. Let f = z + y. Does 12 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -z - 12, 2*w + 5*z = 9*z + 18. What is the highest common factor of 8445 and w?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67 = -6*z + 5. What is the least common multiple of 14 and z?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -4*p + 557 + 2502, -2*p = 5*o + 3083. Let q = o - -975. Is q a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 9, k: 2}. What is prob of sequence bk?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9 + 9 + 4*m + (-2 + 2 - 3)*(-3*m + m + 4*m) - 84*m - 71*m + 163*m + 1 - m - 1.\nAnswer: 5*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 + 7. Suppose 2*z = -a*p + 3, 0*z + p = -z. Let g = 10 + z. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 123494272 a multiple of 1408?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**2 - 28*d + 172. Give k(7).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3715 - -145?\nAnswer: -3550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -420 divided by 207406.\nAnswer: -210\/103703","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -6*k**3 + 7*k**2 + 5*k + 4. Let o be y(-3). Suppose u - o = -3*g, g + 5*u = -g + 121. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -2*z + 32. What is the remainder when 14 is divided by z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13725, 13733, 13753, 13791, 13853?\nAnswer: 13945","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) 4 (c) 2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -101319, -202641, -303963?\nAnswer: -405285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**3 + 8*v**2 - 24*v - 21. Let u be p(-10). Suppose -u*j + 0*j + 1444 = 0. What is the remainder when j is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.2 + 0.1. Let g = -0.6 - t. Let p be 2\/(-8)*(15 + -3). Which is the closest to -3? (a) p (b) g (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + sqrt(720) + (-3 + sqrt(720) + sqrt(720) + 0 + sqrt(720) + sqrt(720) - sqrt(720)))*5 + -4)**2.\nAnswer: 2880*sqrt(5) + 288036","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/6 + (-40)\/(-15). Suppose -m*d - 112 = -28. What is the units digit of (23 - -3)*d\/(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1201631, 1201654, 1201677, 1201700?\n\"Answer: 23*l + 1201608","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1676 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z + 1 + 4. Let a(p) = 52*p - 367. Let x be a(8). Let o = x - 49. Solve -z*f - 2*d + 19 = o, f - d - 3 = -2 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3327252647 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 171370298.\nAnswer: 2, 11, 7789559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0\/2 - -3 - (-140)\/(-44)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 835 a factor of 31750890?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -4031, 3, -3, -4.\nAnswer: -4031, -9, -4, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**2 - 22*z - 40. What is the tens digit of d(-16)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 5 - (9 + -13 + 9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-19)\/4)\/(2\/8). Let u = q - -14. Let i = 2\/315 + 178\/315. Which is the closest to 0? (a) i (b) u (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*o - 2 = 8*o. Let v(w) = 2*w**3 - 3*w**2 + 2*w. Let c be v(o). Suppose 4*l + 3*z - 279 = 0, -c*l + 3*l + z = -325. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 113 divide 626359?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g. Let l(s) = -s**2 + 71. Give q(l(u)).\nAnswer: u**2 - 71","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**2 - 3*p + 36. Let g = -938 + 929. Give n(g).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(38)*5 - (sqrt(38) - ((-2*sqrt(950) - sqrt(950)) + sqrt(950))))\/(-2*sqrt(288)*-6 + sqrt(288)) + 1.\nAnswer: -sqrt(19)\/156 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-1*sqrt(1900) - (sqrt(1900)*1 + 1)**2) + ((1 + sqrt(1900) - sqrt(1900)) + 5)**2*3 + -2.\nAnswer: -1795 - 40*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -i**2 + 4*i**2 - i**3 - 2*i**4 - 5*i**2 + 1 + 4*i**2 as b*i**3 + j*i**4 + w*i**2 + p*i + n and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 23616903?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -773, -3098, -6971, -12392, -19361, -27878, -37943?\nAnswer: -49556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2 - w**3 - 2*w**3 + 0*w + 0*w + 29*w**3 - 49*w**3 + 25*w**3 + (7*w**3 + w**3 - 4*w**3)*(-2 + 0 - 1).\nAnswer: -10*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4059 = 135*t + 1895 + 2029 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 9786.944ml in litres?\nAnswer: 9.786944","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97*k + 2212 - 870 - 3088 = 0 for k.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 370350151?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 + 3. Let x = -2 - k. Put x, -2, -5 in ascending order.\nAnswer: -5, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5897 is divided by 1380?\nAnswer: 377","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(1\/6)\/(o*((o\/(o*o**(2\/5))*o)\/o)\/o*o)*(o\/o**(-2\/5)*o)\/o**(-3) assuming o is positive.\nAnswer: o**(149\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*v + 3*v. Let k(m) = -6*m + 5*m**2 - 3 + v + 2. Let b(j) = -j**2 + j. Calculate 6*b(s) + k(s).\nAnswer: -s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-8)\/10)\/((-4)\/70). Suppose -3*q = -2*s + 20, -2*q - b = -6. Suppose -s*f + 158 = 5*g - 3*f, 0 = -5*f - 10. Does 16 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t = -3*g - 32, 5*g + 2*t = 2 - 30 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/3 or -324705460?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*b*r**2*t**3 + 2*b*r**2 + 576*b*t**3 + 24070*b*t**2 - r**2*t**2 - 14*t**3 wrt t.\nAnswer: -12*b*r**2 + 3456*b - 84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*w - 6*w + 479821860 = 0. Suppose 0*n = 14*n + w. Let s = n + 5384866. Round s to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101100 + -11000?\nAnswer: -1000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -27.\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-4)\/k**(-1\/3))\/(k**(-2\/11)\/k**(2\/5)))\/(k**(5\/3)*k**5*((k\/(k*k*k**(-2\/7)))\/k)**(2\/155)) assuming k is positive.\nAnswer: k**(-348361\/35805)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the first derivative of -s**3\/3 - 7. Let m(b) = -4*b**2 + b - 2. Calculate 3*c(l) - m(l).\nAnswer: l**2 - l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -39*d**3 - 9*d**2 - 44*d - 121. What is the hundreds digit of k(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 364950 to the power of 1\/2, to the nearest integer?\nAnswer: 604","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*f**(-3)*f*f\/(f*f**(2\/27)) assuming f is positive.\nAnswer: f**(-29\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j + 2. Suppose 3*n - 12 + 0 = 0. Let i be t(n). Suppose 424 = i*w + 2*w. What is the remainder when w is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2213937 and 513.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 229.23 + -213.3. Let h = r + -16. Let n = h + -0.33. Sort n, 0.1, 0.3 in increasing order.\nAnswer: n, 0.1, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a kilometer in meters?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41 is divided by 32.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (81*w**3 - 61*w**3 - 92*w**3 + 4*w**2)*(4*w - 4*w + 2*w) as i + j*w**4 + g*w**3 + p*w**2 + a*w and give g.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 3 - 1433\nAnswer: -1430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1434404 + 144400?\nAnswer: -1240004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3767 is divided by 276?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z*z\/(z\/z**(-1\/2))*z)\/z)**25\/(z\/z**(2\/5))**(-35\/6) assuming z is positive.\nAnswer: z**41","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 12\/25 of a millennium?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.0601 - 2.9699. Let q = r + 0.03. Which is the biggest value? (a) -4 (b) 5 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 39*v**2 - 2*v + 11. List the prime factors of g(5).\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 4 (b) 1\/5 (c) 1168 (d) 5 (e) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the first derivative of 673*s**3\/3 + s**2 + 62*s - 48. Find the second derivative of k(g) wrt g.\nAnswer: 1346","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 152797 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a hour in minutes?\nAnswer: 18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 0, 3, 2, -3, -12, -25?\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 2*f**2 - 2. Let z be r(2). Suppose -z + 2 = -j. Let t = -4 - -6. Put t, 5, j in increasing order.\nAnswer: t, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 r when three letters picked without replacement from drrrrrkrrrrorkkorrr?\nAnswer: 286\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 19074 and 24618.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 - -1. What is the second derivative of j - 3*j**i - 3*j + 0*j**4 wrt j?\nAnswer: -36*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2943256731598 - -2943256729377.000001257. Let s = 2221 + f. What is s rounded to seven decimal places?\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a microsecond in nanoseconds?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14\/3, 2, -4\/5, -1\/2, 43 in descending order.\nAnswer: 43, 2, -1\/2, -4\/5, -14\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((c\/c**(-48))**14)**(-44))**(-3\/13))**(-2\/9) assuming c is positive.\nAnswer: c**(-60368\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 84 a factor of 4081867?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 27598.38 micrometers?\nAnswer: 0.00002759838","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -396 divided by 9.\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 111 - 143. Let y be (k\/(-5) - 5)\/(2\/10). Let c(x) = -x**3 + 7*x**2 - x + 10. Determine c(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k + k - 2*k)*((-k**3 + 0*k**3 - k**3)*(k - 6*k + 3*k) - k**4 + 3*k**2 - 3*k**2 + 2*k + 2*k**4 - 2*k).\nAnswer: -5*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = h + 1. Suppose h = -4*a + 85. Calculate the highest common factor of 14 and a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 41 + -40. Let h(x) be the third derivative of x**6\/10 + x**3\/6 - x**2. Let b be h(m). What is the greatest common factor of b and 91?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 20377.46nm?\nAnswer: 0.00000002037746","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1639946003 to the nearest integer?\nAnswer: 1179","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1917 + b**4 - 1897 - 2*b - 13*b**2 + 25*b**2 to the form w*b + s + z*b**3 + y*b**2 + k*b**4 and give y.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 - -2)\/(6\/8 - 0). Suppose z*k = -3*k + 84. Solve -5*w - 8 = k for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 12429?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 310 is divided by 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 976829.4 + -976829. Let d = 0 - -0.1. Let u = -0.14 + -0.96. Sort a, 0.3, d, u in descending order.\nAnswer: a, 0.3, d, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2*(-3)\/(-12)*0. Suppose h = 5*z - 9 - 1. What is the third derivative of -14*r**z - r + 8*r**2 + r - 4*r**5 wrt r?\nAnswer: -240*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -272 by -136.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.692 - -0.392. Sort 4, -6, -3, j.\nAnswer: -6, -3, j, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 28106 * 16\nAnswer: 449696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 17*a**2 + 309*a + 2664. Let d be u(-9). Which is greater: 1257 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -16*m**2 + 2*m - 2. Suppose -8*n - 31 = -3*n - 4*z, -3*z - 3 = 5*n. Let j(v) = -v + 1. Let f(o) = n*j(o) - y(o). Is 35 a factor of f(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the first derivative of -b**4\/24 + b**3\/2 + 30*b**2 - 2*b - 25. Let c(x) be the second derivative of y(x). What is c(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a + 0*a + 21 = c, -3*c = -5*a - 23 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - o = 6. Suppose 78 = 3*u - 0*n + 3*n, u + 5*n - o = 0. Let q = 7 + u. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 + 51 + 31 = -84*q - 10 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/((u\/(u*u*u*(u\/(u\/u**2)*u*u)\/u*u*u))\/u))\/u)**(-15)\/(u**(2\/3)\/u)**(-16) assuming u is positive.\nAnswer: u**(-376\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 34\/255 + (-56)\/(-30). What is the units digit of (-1)\/3 - ((-3426)\/18 + b)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6400 and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 55, 38, 9, -32?\n\"Answer: -6*b**2 + b + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -k + 15. Let v(w) = -w**3 + w + 1. Let y be 16\/20 + (-1)\/(-5). Let l(s) = s**3 - 2*s - 3. What is k*v(n) + y*l(n)?\nAnswer: -2*n**3 + n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = o + 4*s, -2*s = 2*o + 136 - 140 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.8 and -393.9?\nAnswer: 315.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2486053 and 0.2.\nAnswer: 497210.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from eededzd.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-77)\/(-11) - 96\/14)*16\/4.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 283150 divided by 10?\nAnswer: 28315","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 1902?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/1512 and 73\/10584.\nAnswer: 10584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times -1976.6?\nAnswer: 790.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 22 + -12. Let g be 35\/r - 2\/4. Suppose -14 = g*a - 59. Is 5 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -39621*m**2*w - 6*m**2 - 4*m*w + 43037*m + 55*w - 14 wrt w?\nAnswer: -39621*m**2 - 4*m + 55","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/6528 and -49\/34.\nAnswer: 6528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 492857?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 9743309 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -9*j**3 - 3*j**2 - 12*j - 20. Let a be p(-2). Factor 980 - 11*t + 5*t**2 - 65*t - a*t.\nAnswer: 5*(t - 14)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l - 732 = -25. Suppose -7683 = -l*p + 88*p. List the prime factors of p.\nAnswer: 3, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:35 AM and 8:59 AM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 10 = 6. Let m be t\/(5 - 49\/10). Let z = 25 + m. Solve 3*f + 0*f + 2*h + 15 = 0, -2*h - z = f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10? (a) 1 (b) 0 (c) -8\/21 (d) -5\/6 (e) -40\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c - 15*c + 96*k - 1572 = 0, 22 - 6 + 23 - 5 = 2*k for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -x - 2*x + 2*x + (0*x - 2*x + x)*(-44 + 23 + 148) in the form d*x + w and give d.\nAnswer: -128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 61 + -32. Let o = 36 - z. Solve -3*n - o + 22 = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15551846 and 694.\nAnswer: 694","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -15a5 + 1?\nAnswer: -15a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u - 1. Let z(s) = -12*s - 18. Let f(g) = 18*x(g) - z(g). Let j(l) = -l. What is f(j(p))?\nAnswer: 6*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the third derivative of 141*v**7\/70 + v**6\/40 + 77*v**5\/10 - 240*v**2 - 2. What is the third derivative of y(f) wrt f?\nAnswer: 10152*f + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 + -64?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (4*10\/80)\/(1\/10). Put a, -4, 20 in increasing order.\nAnswer: -4, a, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 33*g**2 + 18*g + 63. What is v(3)?\nAnswer: 414","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 6*s - 4*s - 5*s - 12. Let c be f(-4). Suppose -27 = -x - c*x. What are the prime factors of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14810623 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/48, 4, -1, -2\/9, 0.5, -64.8, 0.87?\nAnswer: -64.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/((j*j**(-1\/21))\/j)*j*j*j*j*j**(-7\/3)*j*(j**(-3\/2))**(-6))**(2\/3) assuming j is positive.\nAnswer: j**(178\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**2 + 4*k + 2. Let v be q(-4). Suppose 5*u - 5 = -5*f, -3*f - 2*u + 2 = -v. Solve -r - f = -3*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/11, 70, 4, 1\/15, -2 in ascending order.\nAnswer: -2, 1\/15, 2\/11, 4, 70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -518? (a) 13 (b) 4 (c) 0.5 (d) -0.3 (e) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -262214 - 17?\nAnswer: -262232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*h + 2*h - 643*h**3.\nAnswer: -643*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-2\/17)*a)\/(a\/(a*a**(-7\/3))) assuming a is positive.\nAnswer: a**(-74\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 54\/7, 946229, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/(-10)*(450\/(-78))\/15. Which is the closest to s? (a) 3 (b) 2\/13 (c) 0.3 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1372, -1056, -740, -424, -108?\n\"Answer: 316*r - 1688","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in thirty-seven fifths of a minute?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -3611, 4 in decreasing order.\nAnswer: 4, 2, -3611","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2 - -8 - 6\/2. What is the second derivative of -12*k**3 + 4*k + 47*k**p + k**5 - 35*k**3 wrt k?\nAnswer: 20*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54 = 62*q + 240 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3332 - 5722 + 4*y + 4966)*(-6*y + y + y) to the form l*y + n*y**2 + o and give n.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the third derivative of -7*s**6\/60 - 7*s**3\/6 + 6*s**2. Find the first derivative of k(p) wrt p.\nAnswer: -42*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -379*g - 16 + 5 - 388*g + 731*g + 17.\nAnswer: -36*g + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - l)*(2*l - 3*l - l) + (-34 + 13 - 27)*(-2*l**2 + 17*l**2 + 0*l**2).\nAnswer: -718*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34718 is divided by 15839?\nAnswer: 3040","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + 87564\/9840 + -2*8\/328?\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1968540 and 24325530.\nAnswer: 340557420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 392, 386, 380, 374?\n\"Answer: -6*f + 398","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 70880 >= 779664\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 m when four letters picked without replacement from {m: 4, o: 4, n: 1, h: 1}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 3*p = 2056, 16*s + 2*p = 21*s - 2570. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*f = 169*f - 818756. Put -5, -1, f in descending order.\nAnswer: f, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 87.18447 millilitres to litres.\nAnswer: 0.08718447","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1549\/5 equal to -309?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1529.\nAnswer: 11, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -38814, -155214, -349216, -620820?\n\"Answer: -38801*z**2 + 3*z - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 8 + (4 - (0 + -19))?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 1364 = 4*x, 0 = 3*x - 2*t + 7*t - 991. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-25)\/30)\/(-1 - 4). Put 0.2, -3, f, 7 in ascending order.\nAnswer: -3, f, 0.2, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 + 8. Suppose s*l - 6 = -l. Suppose r - l*b = -7174 - 1034, -5*b + 41020 = -5*r. Round r to the nearest one thousand.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6374.51 - -6420. Round a to 0 decimal places.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -2*h**2 - 4 + 3*h**2 - 4*h - 2*h**2. Suppose -2*p - 3*p + 6 = -4*y, -5*p + 5*y = -5. Suppose 3*d + 17 = p*r, 5*r - 11 = d + 12. Calculate m(d).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 equal to 1.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12, 59, 140, 255?\nAnswer: 404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2703102 + -0.008.\nAnswer: -2703102.008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -20, -36, -76, -152, -276, -460, -716, -1056?\n\"Answer: -2*p**3 - 2*p - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 9*d + 7. Let y(m) = m**3 - 5*m**2 + 4*m + 3. Let x be y(4). Let i(n) be the third derivative of n**4\/6 + n**3\/2 + 2*n**2. Give x*u(o) - 7*i(o).\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, r: 1, u: 1, f: 2, z: 2, t: 1}. Give prob of picking 1 r, 1 f, 1 u, and 1 q.\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 22.5, -0.0507, -5\/3?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4434 = 391*p - 160 + 418 for p.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -228 in 0.4, 0.04, 2, 22\/13?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1.17 * -0.6\nAnswer: 0.702","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5913 is divided by 58?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.82 times 89124?\nAnswer: -786073.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 138 a factor of 7587516?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(624)\/sqrt(3) - sqrt(13))**2 + 1.\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2021880, 4043782, 6065680, 8087574, 10109464, 12131350?\nAnswer: 14153232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 235822 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2817 + 2817.1. Which is the third smallest value? (a) 28 (b) -0.05 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -62 + 30. Let s = m + 36. Let w be -2 + 1\/(1\/2). What is the smallest value in s, w, 0.5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -932658, -3730558, -8393726, -14922162, -23315866, -33574838?\n\"Answer: -932634*r**2 + 2*r - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1029 - -1039.86. Let a = 12 - o. What is a rounded to one decimal place?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16 + -12. Let u(d) = -d**2 - 6*d + 5. Let s be u(-6). Suppose -c + 3 + s = o*q, -q + 59 = 5*c. Solve 0*v + c = -3*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18805 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1753 at most 12273\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 96902?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100001100010 - -1010?\nAnswer: 100001101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 equal to -38\/1187?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 49*o**2 - o + 6. Let r = -6 - -8. Suppose 4*z - r*z = 14. Let p be y(z). Round p to the nearest 1000.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the first derivative of -12\/35*f**5 + 0*f - 15\/28*f**4 + 0*f**2 - 2\/7*f**3 - 1\/14*f**6 - 2. Determine t, given that u(t) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 342948\/(-240)*-2 - ((-62)\/20 - -3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 3, j: 5, s: 3, d: 1}. What is prob of sequence ssjq?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the second derivative of v**5\/20 + 5*v**4\/4 - 8*v**3\/3 + v**2 - 46*v. Let s be r(-16). Solve 2*o = -s*o - 8 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**3 - x**2 - 1. Let v(i) = -80*i + 17 - 28 + 4*i**3 + 171*i - 91*i + 3*i**2. What is 3*l(b) + v(b)?\nAnswer: b**3 - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -0*w + 4*w. Suppose -w*p + 6 = p. Let y(j) = 43*j + 3. Is y(p) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r + 5*r - 84. Let n(p) = p**2 + 4*p - 1. Calculate the remainder when r is divided by n(-6).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -245036.61169923 + 244898.6117. Let p = f + 138. What is p rounded to 7 dps?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -27? (a) 0.04 (b) -39317 (c) -1 (d) -0.5 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 12386*w**2 + 2*w - 2*w - 11822*w**2 as y + q*w**2 + m*w and give q.\nAnswer: 564","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 168 + -91. Let v be 2\/11 - 476\/z. Does 9 divide 150\/18 - 4\/v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6 - -7)\/(-2 + 1). Let a = m + 2. Let z(b) = -2*b**3 - b**2 + b - 1. Let g be z(a). What is g rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cj when two letters picked without replacement from {i: 5, j: 1, c: 3}?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -24429 - -24452. Calculate the highest common divisor of 1817 and d.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*p**2 + 5432*p**3 + 8905*p**3 - 14270*p**3.\nAnswer: 67*p**3 - 2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 600459 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -454 and -3?\nAnswer: 1362","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1898639, -1898637, -1898633, -1898627?\nAnswer: -1898619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes after 8:44 AM?\nAnswer: 5:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**3)**(1\/38))**(-4\/9)*(m**(-1\/7)*m**(-1\/6))**39 assuming m is positive.\nAnswer: m**(-28843\/2394)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000910476 rounded to five dps?\nAnswer: 0.00091","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14*10\/(-3108)*6\/(-5).\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -11*z + 49. Give o(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -140, -3 in increasing order.\nAnswer: -140, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence npzc when four letters picked without replacement from {n: 2, p: 3, c: 1, o: 1, s: 4, z: 4}?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 21*o + 270. Let l be k(-13). Let m(n) = -5*n**3 - n**2 + n + 13. Let y(d) = -d**3 - d**2 + 1. Let a(w) = m(w) - 6*y(w). Is a(l) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -214714 and 4.\nAnswer: -214710","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -303*z + 26409 + 19383 = 644*z - 83*z for z.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 1. Let n(w) = -2*w + 22. Let l(i) = -2*n(i) + 44*s(i). Let p(j) = 9*j**2. Calculate l(p(f)).\nAnswer: 36*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.30376 + -0.10376. Which is the nearest to u? (a) 0.2 (b) 2 (c) -0.9 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-420)\/(-90))\/(4\/6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 118 + -119. Which is smaller: i or 2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9 + -136\/15. Let z = n + 317\/30. Let z*f + 25\/4*f**2 + f**3 + 9\/4 = 0. What is f?\nAnswer: -3, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2096 and 3930?\nAnswer: 31440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**3 + 10*l**2 - 26*l - 19. Let i(g) = g**2 - 13*g - 12. Let p be i(13). Let w be c(p). Solve 0 = -4*v + 4*d - 13 + 29, -4*d - 17 = -w*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 102837916, 102837922, 102837932, 102837946, 102837964?\nAnswer: 102837986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18474640 divided by 80.\nAnswer: 230933","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -52, -53, -58, -67, -80?\n\"Answer: -2*g**2 + 5*g - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 77 - 29. What is the highest common divisor of h and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 91 divide 9555?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 231\/9 + 1\/3. Suppose 15 = 3*x + y, -y = -2*y + 3. Suppose 0 = -35*f - 2823 + 2893. Solve -l + x*h + f = -12, -4*h - v = 5*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 9 - 20 + 3*y**2.\nAnswer: 3*y**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 123 divide 3318540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -u**3 + 230*u - u**3 - 44*u**2 + 44*u**2.\nAnswer: -2*u**3 + 230*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -11034, 3, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 913.\nAnswer: 2\/913","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 788049 a multiple of 243?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.04 or -2643\/1064?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3536*p**4 + 5*p + 17115 wrt p.\nAnswer: 14144*p**3 + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7593146*k**2 - 2517740*k wrt k?\nAnswer: -15186292","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d. Let h be k(2). Suppose 0 = -11*l + 44 + 11. Suppose 5*z - h*w = 341, -l*w + 2 = -8. Is 23 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 172 is divided by 45?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4, 0, 53.\nAnswer: -4, 0, 4, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w - 7. Suppose 0 = -15*f + 13*f + 5*o - 10, 4*o - 5 = f. Let v(s) = -s - 7. Determine f*v(i) + 4*c(i).\nAnswer: i + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4\/3)\/((-4)\/(-30)). Let x = 8 + d. Solve 5*q + x + 7 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -42 (base 11) to base 7\nAnswer: -64","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times 144.46795?\nAnswer: 288.9359","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkxxtxystkkxkttkk. What is prob of sequence xyxx?\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -51 divided by -277\nAnswer: 51\/277","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add -19.84228 and 1.29.\nAnswer: -18.55228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 256645 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 18)*(-8755 + 8755 - 657*j**2).\nAnswer: -11169*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 228*z - 364*z + 952 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1211002 - 211121020?\nAnswer: -220102022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(72) + (sqrt(72) - ((sqrt(72) - sqrt(72)*-2) + sqrt(72))))\/sqrt(3) + -2*sqrt(600) + sqrt(24))\/((sqrt(192) - -2*sqrt(192)) + 1*sqrt(432)).\nAnswer: -11*sqrt(2)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 85\/(-340)*(-13)\/((-13)\/(-48))*4\/(-54)?\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -16 - -6.4. Let v = 1754748937.59999921 + -1754748928. Let f = n + v. What is f rounded to 7 dps?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, -3, 4 in ascending order.\nAnswer: -3, 4, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 2660*d + 1828*d + 797*d as l*d + s and give l.\nAnswer: 5285","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2009 is divided by 101.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -422 - -441. Calculate the remainder when 144 is divided by u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = y - 172. Let d = 42 + -62. Let x = y + d. Calculate the highest common divisor of x and 207.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}